%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ALG254^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:08:37 AM UTC 2026
% Result : Theorem 5.66s 1.16s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 114
% Syntax : Number of formulae : 1421 ( 413 unt; 0 typ; 113 def)
% Number of atoms : 10141 (4362 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 27761 (4229 ~;4456 |; 68 &;17892 @)
% ( 2 <=>;1114 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 1133 (1133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 144 ( 141 usr; 118 con; 0-4 aty)
% Number of variables : 3968 ( 39 ^;3924 !; 5 ?;3968 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_subst,type,
subst: $tType ).
thf(tp_term,type,
term: $tType ).
thf(tp_ap,type,
ap: term > term > term ).
thf(tp_apinj1,type,
apinj1: $o ).
thf(tp_apinj2,type,
apinj2: $o ).
thf(tp_apnotvar,type,
apnotvar: $o ).
thf(tp_axabs,type,
axabs: $o ).
thf(tp_axapp,type,
axapp: $o ).
thf(tp_axassoc,type,
axassoc: $o ).
thf(tp_axclos,type,
axclos: $o ).
thf(tp_axidl,type,
axidl: $o ).
thf(tp_axidr,type,
axidr: $o ).
thf(tp_axmap,type,
axmap: $o ).
thf(tp_axscons,type,
axscons: $o ).
thf(tp_axshiftcons,type,
axshiftcons: $o ).
thf(tp_axvarcons,type,
axvarcons: $o ).
thf(tp_axvarid,type,
axvarid: $o ).
thf(tp_axvarshift,type,
axvarshift: $o ).
thf(tp_comp,type,
comp: subst > subst > subst ).
thf(tp_hoasap,type,
hoasap: subst > term > subst > term > term ).
thf(tp_hoasapinj1,type,
hoasapinj1: $o ).
thf(tp_hoasapinj1_gthm,type,
hoasapinj1_gthm: $o ).
thf(tp_hoasapinj1_lthm,type,
hoasapinj1_lthm: $o ).
thf(tp_hoasapinj2,type,
hoasapinj2: $o ).
thf(tp_hoasapinj2_gthm,type,
hoasapinj2_gthm: $o ).
thf(tp_hoasapinj2_lthm,type,
hoasapinj2_lthm: $o ).
thf(tp_hoasapnotvar,type,
hoasapnotvar: $o ).
thf(tp_hoasapnotvar_gthm,type,
hoasapnotvar_gthm: $o ).
thf(tp_hoasapnotvar_lthm,type,
hoasapnotvar_lthm: $o ).
thf(tp_hoasinduction,type,
hoasinduction: $o ).
thf(tp_hoasinduction_gthm,type,
hoasinduction_gthm: $o ).
thf(tp_hoasinduction_lem0,type,
hoasinduction_lem0: $o ).
thf(tp_hoasinduction_lem0_lthm,type,
hoasinduction_lem0_lthm: $o ).
thf(tp_hoasinduction_lem1,type,
hoasinduction_lem1: $o ).
thf(tp_hoasinduction_lem1_gthm,type,
hoasinduction_lem1_gthm: $o ).
thf(tp_hoasinduction_lem1_lthm,type,
hoasinduction_lem1_lthm: $o ).
thf(tp_hoasinduction_lem1v2,type,
hoasinduction_lem1v2: $o ).
thf(tp_hoasinduction_lem1v2_gthm,type,
hoasinduction_lem1v2_gthm: $o ).
thf(tp_hoasinduction_lem2,type,
hoasinduction_lem2: $o ).
thf(tp_hoasinduction_lem2_gthm,type,
hoasinduction_lem2_gthm: $o ).
thf(tp_hoasinduction_lem2_lthm,type,
hoasinduction_lem2_lthm: $o ).
thf(tp_hoasinduction_lem2v2,type,
hoasinduction_lem2v2: $o ).
thf(tp_hoasinduction_lem2v2_gthm,type,
hoasinduction_lem2v2_gthm: $o ).
thf(tp_hoasinduction_lem3,type,
hoasinduction_lem3: $o ).
thf(tp_hoasinduction_lem3_gthm,type,
hoasinduction_lem3_gthm: $o ).
thf(tp_hoasinduction_lem3_lthm,type,
hoasinduction_lem3_lthm: $o ).
thf(tp_hoasinduction_lem3a,type,
hoasinduction_lem3a: $o ).
thf(tp_hoasinduction_lem3a_gthm,type,
hoasinduction_lem3a_gthm: $o ).
thf(tp_hoasinduction_lem3a_lthm,type,
hoasinduction_lem3a_lthm: $o ).
thf(tp_hoasinduction_lem3aa,type,
hoasinduction_lem3aa: $o ).
thf(tp_hoasinduction_lem3aa_lthm,type,
hoasinduction_lem3aa_lthm: $o ).
thf(tp_hoasinduction_lem3aaa,type,
hoasinduction_lem3aaa: $o ).
thf(tp_hoasinduction_lem3b,type,
hoasinduction_lem3b: $o ).
thf(tp_hoasinduction_lem3b_gthm,type,
hoasinduction_lem3b_gthm: $o ).
thf(tp_hoasinduction_lem3b_lthm,type,
hoasinduction_lem3b_lthm: $o ).
thf(tp_hoasinduction_lem3v2,type,
hoasinduction_lem3v2: $o ).
thf(tp_hoasinduction_lem3v2_f,type,
hoasinduction_lem3v2_f: $o ).
thf(tp_hoasinduction_lem3v2_f_lthm,type,
hoasinduction_lem3v2_f_lthm: $o ).
thf(tp_hoasinduction_lem3v2_gthm,type,
hoasinduction_lem3v2_gthm: $o ).
thf(tp_hoasinduction_lem3v2_lthm,type,
hoasinduction_lem3v2_lthm: $o ).
thf(tp_hoasinduction_lem3v2a,type,
hoasinduction_lem3v2a: $o ).
thf(tp_hoasinduction_lem3v2a_lthm,type,
hoasinduction_lem3v2a_lthm: $o ).
thf(tp_hoasinduction_lthm,type,
hoasinduction_lthm: $o ).
thf(tp_hoasinduction_lthm_3,type,
hoasinduction_lthm_3: $o ).
thf(tp_hoasinduction_no_psi_cond,type,
hoasinduction_no_psi_cond: $o ).
thf(tp_hoasinduction_no_psi_cond_lthm,type,
hoasinduction_no_psi_cond_lthm: $o ).
thf(tp_hoasinduction_p_and_p_prime,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(tp_hoaslam,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(tp_hoaslaminj,type,
hoaslaminj: $o ).
thf(tp_hoaslaminj_gthm,type,
hoaslaminj_gthm: $o ).
thf(tp_hoaslaminj_lthm,type,
hoaslaminj_lthm: $o ).
thf(tp_hoaslamnotap,type,
hoaslamnotap: $o ).
thf(tp_hoaslamnotap_gthm,type,
hoaslamnotap_gthm: $o ).
thf(tp_hoaslamnotap_lthm,type,
hoaslamnotap_lthm: $o ).
thf(tp_hoaslamnotvar,type,
hoaslamnotvar: $o ).
thf(tp_hoaslamnotvar_gthm,type,
hoaslamnotvar_gthm: $o ).
thf(tp_hoaslamnotvar_lthm,type,
hoaslamnotvar_lthm: $o ).
thf(tp_hoasvar,type,
hoasvar: subst > term > subst > $o ).
thf(tp_id,type,
id: subst ).
thf(tp_induction,type,
induction: $o ).
thf(tp_induction2,type,
induction2: $o ).
thf(tp_induction2_gthm,type,
induction2_gthm: $o ).
thf(tp_induction2_lthm,type,
induction2_lthm: $o ).
thf(tp_induction2lem,type,
induction2lem: $o ).
thf(tp_induction2lem_gthm,type,
induction2lem_gthm: $o ).
thf(tp_induction2lem_lthm,type,
induction2lem_lthm: $o ).
thf(tp_lam,type,
lam: term > term ).
thf(tp_laminj,type,
laminj: $o ).
thf(tp_lamnotap,type,
lamnotap: $o ).
thf(tp_lamnotvar,type,
lamnotvar: $o ).
thf(tp_one,type,
one: term ).
thf(tp_push,type,
push: term > subst > subst ).
thf(tp_pushprop,type,
pushprop: $o ).
thf(tp_pushprop_gthm,type,
pushprop_gthm: $o ).
thf(tp_pushprop_lem0,type,
pushprop_lem0: $o ).
thf(tp_pushprop_lem0_gthm,type,
pushprop_lem0_gthm: $o ).
thf(tp_pushprop_lem0_lthm,type,
pushprop_lem0_lthm: $o ).
thf(tp_pushprop_lem1,type,
pushprop_lem1: $o ).
thf(tp_pushprop_lem1_gthm,type,
pushprop_lem1_gthm: $o ).
thf(tp_pushprop_lem1_lthm,type,
pushprop_lem1_lthm: $o ).
thf(tp_pushprop_lem1v2,type,
pushprop_lem1v2: $o ).
thf(tp_pushprop_lem1v2_gthm,type,
pushprop_lem1v2_gthm: $o ).
thf(tp_pushprop_lem1v2_lthm,type,
pushprop_lem1v2_lthm: $o ).
thf(tp_pushprop_lem2v2,type,
pushprop_lem2v2: $o ).
thf(tp_pushprop_lem2v2_gthm,type,
pushprop_lem2v2_gthm: $o ).
thf(tp_pushprop_lem2v2_lthm,type,
pushprop_lem2v2_lthm: $o ).
thf(tp_pushprop_lem3v2,type,
pushprop_lem3v2: $o ).
thf(tp_pushprop_lem3v2_lthm,type,
pushprop_lem3v2_lthm: $o ).
thf(tp_pushprop_lthm,type,
pushprop_lthm: $o ).
thf(tp_pushprop_lthm_orig,type,
pushprop_lthm_orig: $o ).
thf(tp_pushprop_p_and_p_prime,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(tp_sK10_A,type,
sK10_A: ( term > $o ) > term ).
thf(tp_sK11_B,type,
sK11_B: subst > term > ( term > $o ) > term ).
thf(tp_sK12_B,type,
sK12_B: subst > term > ( term > $o ) > term ).
thf(tp_sK13_A,type,
sK13_A: ( term > $o ) > term ).
thf(tp_sK14_A,type,
sK14_A: ( term > $o ) > term ).
thf(tp_sK15_SY80,type,
sK15_SY80: ( term > $o ) > term ).
thf(tp_sK16_A,type,
sK16_A: ( term > $o ) > term ).
thf(tp_sK17_A,type,
sK17_A: ( term > $o ) > term ).
thf(tp_sK18_SY82,type,
sK18_SY82: ( term > $o ) > term ).
thf(tp_sK19_A,type,
sK19_A: ( term > $o ) > term ).
thf(tp_sK1_M,type,
sK1_M: subst ).
thf(tp_sK2_SY75,type,
sK2_SY75: subst ).
thf(tp_sK3_SY77,type,
sK3_SY77: subst ).
thf(tp_sK4_M,type,
sK4_M: subst ).
thf(tp_sK5_M,type,
sK5_M: subst ).
thf(tp_sK6_A,type,
sK6_A: ( term > $o ) > term ).
thf(tp_sK7_A,type,
sK7_A: ( term > $o ) > term ).
thf(tp_sK8_A,type,
sK8_A: ( term > $o ) > term ).
thf(tp_sK9_SY78,type,
sK9_SY78: ( term > $o ) > term ).
thf(tp_sh,type,
sh: subst ).
thf(tp_shinj,type,
shinj: $o ).
thf(tp_sub,type,
sub: term > subst > term ).
thf(tp_substmonoid,type,
substmonoid: $o ).
thf(tp_substmonoid_gthm,type,
substmonoid_gthm: $o ).
thf(tp_substmonoid_lthm,type,
substmonoid_lthm: $o ).
thf(tp_termmset,type,
termmset: $o ).
thf(tp_termmset_gthm,type,
termmset_gthm: $o ).
thf(tp_termmset_lthm,type,
termmset_lthm: $o ).
thf(tp_ulamvar1,type,
ulamvar1: $o ).
thf(tp_ulamvarind,type,
ulamvarind: $o ).
thf(tp_ulamvarsh,type,
ulamvarsh: $o ).
thf(tp_var,type,
var: term > $o ).
thf(apinj1,definition,
( apinj1
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apinj1) ).
thf(apinj2,definition,
( apinj2
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apinj2) ).
thf(apnotvar,definition,
( apnotvar
= ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apnotvar) ).
thf(axabs,definition,
( axabs
= ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axabs) ).
thf(axapp,definition,
( axapp
= ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axapp) ).
thf(axassoc,definition,
( axassoc
= ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axassoc) ).
thf(axclos,definition,
( axclos
= ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axclos) ).
thf(axidl,definition,
( axidl
= ( ! [M: subst] :
( ( comp @ id @ M )
= M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axidl) ).
thf(axidr,definition,
( axidr
= ( ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axidr) ).
thf(axmap,definition,
( axmap
= ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axmap) ).
thf(axscons,definition,
( axscons
= ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axscons) ).
thf(axshiftcons,definition,
( axshiftcons
= ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axshiftcons) ).
thf(axvarcons,definition,
( axvarcons
= ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axvarcons) ).
thf(axvarid,definition,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axvarid) ).
thf(axvarshift,definition,
( axvarshift
= ( ( push @ one @ sh )
= id ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axvarshift) ).
thf(hoasap,definition,
( hoasap
= ( ^ [M: subst,A: term,N: subst,B: term] : ( ap @ ( sub @ A @ N ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasap) ).
thf(hoasapinj1,definition,
( hoasapinj1
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( hoasap @ id @ A @ id @ C )
= ( hoasap @ id @ B @ id @ D ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj1) ).
thf(hoasapinj1_gthm,definition,
( hoasapinj1_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> hoasapinj1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj1_gthm) ).
thf(hoasapinj1_lthm,definition,
( hoasapinj1_lthm
= ( axvarid
=> ( apinj1
=> hoasapinj1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj1_lthm) ).
thf(hoasapinj2,definition,
( hoasapinj2
= ( ! [A: term,B: term,C: term,D: term] :
( ( ( hoasap @ id @ A @ id @ C )
= ( hoasap @ id @ B @ id @ D ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj2) ).
thf(hoasapinj2_gthm,definition,
( hoasapinj2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> hoasapinj2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj2_gthm) ).
thf(hoasapinj2_lthm,definition,
( hoasapinj2_lthm
= ( apinj2
=> hoasapinj2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj2_lthm) ).
thf(hoasapnotvar,definition,
( hoasapnotvar
= ( ! [A: term,B: term] :
~ ( hoasvar @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapnotvar) ).
thf(hoasapnotvar_gthm,definition,
( hoasapnotvar_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> hoasapnotvar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapnotvar_gthm) ).
thf(hoasapnotvar_lthm,definition,
( hoasapnotvar_lthm
= ( axvarid
=> ( apnotvar
=> hoasapnotvar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapnotvar_lthm) ).
thf(hoasinduction,definition,
( hoasinduction
= ( ! [P: subst > term > subst > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [A: term] :
( ( hoasvar @ id @ A @ id )
=> ( P @ id @ A @ id ) )
=> ( ! [A: term,B: term] :
( ( P @ id @ A @ id )
=> ( ( P @ id @ B @ id )
=> ( P @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) )
=> ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] : ( P @ id @ A @ id ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction) ).
thf(hoasinduction_gthm,definition,
( hoasinduction_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> ( hoasinduction_lem3
=> hoasinduction ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_gthm) ).
thf(hoasinduction_lem0,definition,
( hoasinduction_lem0
= ( ! [P: subst > term > subst > $o] :
? [Q: term > $o] : ( hoasinduction_p_and_p_prime @ P @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem0) ).
thf(hoasinduction_lem0_lthm,definition,
hoasinduction_lem0_lthm = hoasinduction_lem0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem0_lthm) ).
thf(hoasinduction_lem1,definition,
( hoasinduction_lem1
= ( ! [P: subst > term > subst > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [A: term] :
( ( hoasvar @ id @ A @ id )
=> ( P @ id @ A @ id ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ id @ A @ id ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem1) ).
thf(hoasinduction_lem1_gthm,definition,
( hoasinduction_lem1_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem1_gthm) ).
thf(hoasinduction_lem1_lthm,definition,
( hoasinduction_lem1_lthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem1_lthm) ).
thf(hoasinduction_lem1v2,definition,
( hoasinduction_lem1v2
= ( ! [P: subst > term > subst > $o,Q: term > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [A: term] :
( ( hoasvar @ id @ A @ id )
=> ( P @ id @ A @ id ) )
=> ( ( hoasinduction_p_and_p_prime @ P @ Q )
=> ! [A: term] :
( ( var @ A )
=> ( Q @ A ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem1v2) ).
thf(hoasinduction_lem1v2_gthm,definition,
( hoasinduction_lem1v2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem1v2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem1v2_gthm) ).
thf(hoasinduction_lem2,definition,
( hoasinduction_lem2
= ( ! [P: subst > term > subst > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [A: term,B: term] :
( ( P @ id @ A @ id )
=> ( ( P @ id @ B @ id )
=> ( P @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) )
=> ! [A: term,B: term] :
( ( P @ id @ A @ id )
=> ( ( P @ id @ B @ id )
=> ( P @ id @ ( ap @ A @ B ) @ id ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem2) ).
thf(hoasinduction_lem2_gthm,definition,
( hoasinduction_lem2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem2_gthm) ).
thf(hoasinduction_lem2_lthm,definition,
( hoasinduction_lem2_lthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem2_lthm) ).
thf(hoasinduction_lem2v2,definition,
( hoasinduction_lem2v2
= ( ! [P: subst > term > subst > $o,Q: term > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [A: term,B: term] :
( ( P @ id @ A @ id )
=> ( ( P @ id @ B @ id )
=> ( P @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) )
=> ( ( hoasinduction_p_and_p_prime @ P @ Q )
=> ! [A: term,B: term] :
( ( Q @ A )
=> ( ( Q @ B )
=> ( Q @ ( ap @ A @ B ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem2v2) ).
thf(hoasinduction_lem2v2_gthm,definition,
( hoasinduction_lem2v2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem2v2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem2v2_gthm) ).
thf(hoasinduction_lem3,definition,
( hoasinduction_lem3
= ( ! [P: subst > term > subst > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ A ) @ id ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3) ).
thf(hoasinduction_lem3_gthm,definition,
( hoasinduction_lem3_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> hoasinduction_lem3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3_gthm) ).
thf(hoasinduction_lem3_lthm,definition,
( hoasinduction_lem3_lthm
= ( axvarid
=> ( axvarshift
=> ( hoasinduction_lem3aa
=> hoasinduction_lem3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3_lthm) ).
thf(hoasinduction_lem3a,definition,
( hoasinduction_lem3a
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ A ) @ id ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3a) ).
thf(hoasinduction_lem3a_gthm,definition,
( hoasinduction_lem3a_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> hoasinduction_lem3a ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3a_gthm) ).
thf(hoasinduction_lem3a_lthm,definition,
( hoasinduction_lem3a_lthm
= ( axvarid
=> ( axvarshift
=> ( hoasinduction_lem3aa
=> hoasinduction_lem3a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3a_lthm) ).
thf(hoasinduction_lem3aa,definition,
( hoasinduction_lem3aa
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ ( sub @ A @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa) ).
thf(hoasinduction_lem3aa_lthm,definition,
( hoasinduction_lem3aa_lthm
= ( axclos
=> ( axmap
=> hoasinduction_lem3aa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa_lthm) ).
thf(hoasinduction_lem3aaa,definition,
( hoasinduction_lem3aaa
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ? [C: term] :
! [M: subst,A: term,N: subst] :
( ( ( sub @ ( F @ M @ A ) @ N )
= ( sub @ ( sub @ C @ ( push @ A @ M ) ) @ N ) )
& ( ( sub @ C @ ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ ( sub @ A @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aaa) ).
thf(hoasinduction_lem3b,definition,
( hoasinduction_lem3b
= ( ! [B: term] :
? [F: subst > term > term] :
( ( sub @ B @ ( push @ one @ sh ) )
= ( F @ sh @ one ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3b) ).
thf(hoasinduction_lem3b_gthm,definition,
( hoasinduction_lem3b_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> hoasinduction_lem3b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3b_gthm) ).
thf(hoasinduction_lem3b_lthm,definition,
hoasinduction_lem3b_lthm = hoasinduction_lem3b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3b_lthm) ).
thf(hoasinduction_lem3v2,definition,
( hoasinduction_lem3v2
= ( ! [P: subst > term > subst > $o,Q: term > $o] :
( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ M @ A @ ( comp @ K @ N ) )
=> ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) )
=> ( ! [M: subst,A: term,N: subst,K: subst] :
( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N )
=> ( P @ M @ A @ ( comp @ K @ N ) ) )
=> ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ( ( hoasinduction_p_and_p_prime @ P @ Q )
=> ! [A: term] :
( ! [B: term] :
( ( Q @ B )
=> ( Q @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( Q @ ( lam @ A ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2) ).
thf(hoasinduction_lem3v2_f,definition,
( hoasinduction_lem3v2_f
= ( ! [B: term] :
? [F: subst > term > term] :
! [A: term,M: subst] :
( ( F @ M @ A )
= ( sub @ B @ ( push @ A @ M ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2_f) ).
thf(hoasinduction_lem3v2_f_lthm,definition,
hoasinduction_lem3v2_f_lthm = hoasinduction_lem3v2_f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2_f_lthm) ).
thf(hoasinduction_lem3v2_gthm,definition,
( hoasinduction_lem3v2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> ( hoaslamnotvar
=> ( hoasapnotvar
=> hoasinduction_lem3v2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2_gthm) ).
thf(hoasinduction_lem3v2_lthm,definition,
( hoasinduction_lem3v2_lthm
= ( axvarid
=> ( axvarshift
=> ( axclos
=> ( axmap
=> hoasinduction_lem3v2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2_lthm) ).
thf(hoasinduction_lem3v2a,definition,
( hoasinduction_lem3v2a
= ( ! [P: subst > term > subst > $o,Q: term > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ( ( hoasinduction_p_and_p_prime @ P @ Q )
=> ! [A: term] :
( ! [B: term] :
( ( Q @ B )
=> ( Q @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( Q @ ( lam @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2a) ).
thf(hoasinduction_lem3v2a_lthm,definition,
( hoasinduction_lem3v2a_lthm
= ( hoasinduction_lem3v2_f
=> ( axvarid
=> ( axvarshift
=> ( axclos
=> ( axmap
=> hoasinduction_lem3v2a ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3v2a_lthm) ).
thf(hoasinduction_lthm,definition,
( hoasinduction_lthm
= ( induction2
=> ( hoasinduction_lem1
=> ( hoasinduction_lem2
=> ( hoasinduction_lem3
=> hoasinduction ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lthm) ).
thf(hoasinduction_lthm_3,definition,
( hoasinduction_lthm_3
= ( hoasinduction_lem0
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lthm_3) ).
thf(hoasinduction_no_psi_cond,definition,
( hoasinduction_no_psi_cond
= ( ! [P: subst > term > subst > $o] :
( ! [A: term,B: term] :
( ( P @ id @ A @ id )
=> ( ( P @ id @ B @ id )
=> ( P @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) )
=> ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] : ( P @ id @ A @ id ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_no_psi_cond) ).
thf(hoasinduction_no_psi_cond_lthm,definition,
( hoasinduction_no_psi_cond_lthm
= ( hoasinduction_lem0
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction_no_psi_cond ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_no_psi_cond_lthm) ).
thf(hoasinduction_p_and_p_prime,definition,
( hoasinduction_p_and_p_prime
= ( ^ [P: subst > term > subst > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ id @ X @ id ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_p_and_p_prime) ).
thf(hoaslam,definition,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslam) ).
thf(hoaslaminj,definition,
( hoaslaminj
= ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ! [G: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( G @ M @ A ) @ N )
= ( G @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ( ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
= ( hoaslam @ id
@ ^ [M: subst,A: term] : ( G @ M @ A ) ) )
=> ! [M: subst,A: term] :
( ( F @ M @ A )
= ( G @ M @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslaminj) ).
thf(hoaslaminj_gthm,definition,
( hoaslaminj_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> hoaslaminj ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslaminj_gthm) ).
thf(hoaslaminj_lthm,definition,
( hoaslaminj_lthm
= ( axvarcons
=> ( axshiftcons
=> ( laminj
=> hoaslaminj ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslaminj_lthm) ).
thf(hoaslamnotap,definition,
( hoaslamnotap
= ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ! [A: term,B: term] :
( ( hoaslam @ id
@ ^ [M: subst,C: term] : ( F @ M @ C ) )
!= ( hoasap @ id @ A @ id @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotap) ).
thf(hoaslamnotap_gthm,definition,
( hoaslamnotap_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> hoaslamnotap ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotap_gthm) ).
thf(hoaslamnotap_lthm,definition,
( hoaslamnotap_lthm
= ( lamnotap
=> hoaslamnotap ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotap_lthm) ).
thf(hoaslamnotvar,definition,
( hoaslamnotvar
= ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ~ ( hoasvar @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotvar) ).
thf(hoaslamnotvar_gthm,definition,
( hoaslamnotvar_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> ( termmset
=> ( hoasapinj1
=> ( hoasapinj2
=> ( hoaslaminj
=> ( hoaslamnotap
=> hoaslamnotvar ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotvar_gthm) ).
thf(hoaslamnotvar_lthm,definition,
( hoaslamnotvar_lthm
= ( axvarid
=> ( lamnotvar
=> hoaslamnotvar ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslamnotvar_lthm) ).
thf(hoasvar,definition,
( hoasvar
= ( ^ [M: subst,A: term,N: subst] : ( var @ ( sub @ A @ N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasvar) ).
thf(induction,definition,
( induction
= ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ( P @ A )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
thf(induction2,definition,
( induction2
= ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2) ).
thf(induction2_gthm,definition,
( induction2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> induction2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2_gthm) ).
thf(induction2_lthm,definition,
( induction2_lthm
= ( axvarid
=> ( induction2lem
=> induction2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2_lthm) ).
thf(induction2lem,definition,
( induction2lem
= ( ! [P: term > $o] :
( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( P @ ( sub @ A @ M ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2lem) ).
thf(induction2lem_gthm,definition,
( induction2lem_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> induction2lem ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2lem_gthm) ).
thf(induction2lem_lthm,definition,
( induction2lem_lthm
= ( axapp
=> ( axvarcons
=> ( axabs
=> ( axclos
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( induction
=> ( pushprop
=> induction2lem ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction2lem_lthm) ).
thf(laminj,definition,
( laminj
= ( ! [A: term,B: term] :
( ( ( lam @ A )
= ( lam @ B ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',laminj) ).
thf(lamnotap,definition,
( lamnotap
= ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lamnotap) ).
thf(lamnotvar,definition,
( lamnotvar
= ( ! [A: term] :
~ ( var @ ( lam @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lamnotvar) ).
thf(pushprop,definition,
( pushprop
= ( ! [P: term > $o,A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( ( P @ A )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop) ).
thf(pushprop_gthm,definition,
( pushprop_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> pushprop ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_gthm) ).
thf(pushprop_lem0,definition,
( pushprop_lem0
= ( ! [P: term > $o,A: term,M: subst] :
? [Q: term > $o] : ( pushprop_p_and_p_prime @ A @ M @ P @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem0) ).
thf(pushprop_lem0_gthm,definition,
( pushprop_lem0_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> pushprop_lem0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem0_gthm) ).
thf(pushprop_lem0_lthm,definition,
pushprop_lem0_lthm = pushprop_lem0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem0_lthm) ).
thf(pushprop_lem1,definition,
( pushprop_lem1
= ( ! [P: term > $o,K: term > $o,A: term,M: subst,B: term] :
( ( P @ A )
=> ( K @ ( sub @ A @ ( push @ B @ M ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1) ).
thf(pushprop_lem1_gthm,definition,
( pushprop_lem1_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> pushprop_lem1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1_gthm) ).
thf(pushprop_lem1_lthm,definition,
( pushprop_lem1_lthm
= ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop_lem1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1_lthm) ).
thf(pushprop_lem1v2,definition,
( pushprop_lem1v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( P @ A )
=> ( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( Q @ one ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1v2) ).
thf(pushprop_lem1v2_gthm,definition,
( pushprop_lem1v2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> pushprop_lem1v2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1v2_gthm) ).
thf(pushprop_lem1v2_lthm,definition,
( pushprop_lem1v2_lthm
= ( axvarcons
=> pushprop_lem1v2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem1v2_lthm) ).
thf(pushprop_lem2v2,definition,
( pushprop_lem2v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ! [C: term] :
( ( var @ C )
=> ( ( Q @ C )
=> ( Q @ ( sub @ C @ sh ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem2v2) ).
thf(pushprop_lem2v2_gthm,definition,
( pushprop_lem2v2_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> pushprop_lem2v2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem2v2_gthm) ).
thf(pushprop_lem2v2_lthm,definition,
( pushprop_lem2v2_lthm
= ( axclos
=> ( axshiftcons
=> pushprop_lem2v2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem2v2_lthm) ).
thf(pushprop_lem3v2,definition,
( pushprop_lem3v2
= ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
=> ( ! [B: term] :
( ( var @ B )
=> ( Q @ B ) )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem3v2) ).
thf(pushprop_lem3v2_lthm,definition,
pushprop_lem3v2_lthm = pushprop_lem3v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lem3v2_lthm) ).
thf(pushprop_lthm,definition,
( pushprop_lthm
= ( pushprop_lem0
=> ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lthm) ).
thf(pushprop_lthm_orig,definition,
( pushprop_lthm_orig
= ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_lthm_orig) ).
thf(pushprop_p_and_p_prime,definition,
( pushprop_p_and_p_prime
= ( ^ [A: term,M: subst,P: term > $o,Q: term > $o] :
! [X: term] :
( ( Q @ X )
<=> ( P @ ( sub @ X @ ( push @ A @ M ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pushprop_p_and_p_prime) ).
thf(shinj,definition,
( shinj
= ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
= ( sub @ B @ sh ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shinj) ).
thf(substmonoid,definition,
( substmonoid
= ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) )
& ! [M: subst] :
( ( comp @ id @ M )
= M )
& ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substmonoid) ).
thf(substmonoid_gthm,definition,
( substmonoid_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> substmonoid ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substmonoid_gthm) ).
thf(substmonoid_lthm,definition,
( substmonoid_lthm
= ( axidl
=> ( axassoc
=> ( axidr
=> substmonoid ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substmonoid_lthm) ).
thf(termmset,definition,
( termmset
= ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) )
& ! [A: term] :
( ( sub @ A @ id )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',termmset) ).
thf(termmset_gthm,definition,
( termmset_gthm
= ( axapp
=> ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> termmset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',termmset_gthm) ).
thf(termmset_lthm,definition,
( termmset_lthm
= ( axvarid
=> ( axclos
=> termmset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',termmset_lthm) ).
thf(ulamvar1,definition,
( ulamvar1
= ( var @ one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ulamvar1) ).
thf(ulamvarind,definition,
( ulamvarind
= ( ! [P: term > $o] :
( ( P @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( ( P @ A )
=> ( P @ ( sub @ A @ sh ) ) ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ulamvarind) ).
thf(ulamvarsh,definition,
( ulamvarsh
= ( ! [A: term] :
( ( var @ A )
=> ( var @ ( sub @ A @ sh ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ulamvarsh) ).
thf(1,conjecture,
substmonoid_gthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
substmonoid_gthm = $false,
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) )
=> ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A )
=> ( ! [A: term] :
( ( sub @ A @ id )
= A )
=> ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) )
=> ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) )
=> ( ! [M: subst] :
( ( comp @ id @ M )
= M )
=> ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M )
=> ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) )
=> ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) )
=> ( ! [M: subst] :
( ( comp @ M @ id )
= M )
=> ( ( ( push @ one @ sh )
= id )
=> ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M )
=> ( ( var @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( var @ ( sub @ A @ sh ) ) )
=> ( ! [P: term > $o] :
( ( P @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( ( P @ A )
=> ( P @ ( sub @ A @ sh ) ) ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ A ) ) ) )
=> ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( A = B ) )
=> ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( C = D ) )
=> ( ! [A: term,B: term] :
( ( ( lam @ A )
= ( lam @ B ) )
=> ( A = B ) )
=> ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
= ( sub @ B @ sh ) )
=> ( A = B ) )
=> ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) )
=> ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) )
=> ( ! [A: term] :
~ ( var @ ( lam @ A ) )
=> ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ( P @ A )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) )
=> ( ! [P: term > $o,A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( ( P @ A )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) )
=> ( ! [P: term > $o] :
( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( P @ ( sub @ A @ M ) ) ) ) )
=> ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) )
=> ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) )
& ! [M: subst] :
( ( comp @ id @ M )
= M )
& ! [M: subst] :
( ( comp @ M @ id )
= M ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(4,plain,
( ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: term] :
( ( sub @ A @ id )
= A ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(14,plain,
( ( ( push @ one @ sh )
= id )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(16,plain,
( ( var @ one )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [A: term] :
( ( var @ A )
=> ( var @ ( sub @ A @ sh ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [P: term > $o] :
( ( P @ one )
=> ( ! [A: term] :
( ( var @ A )
=> ( ( P @ A )
=> ( P @ ( sub @ A @ sh ) ) ) )
=> ! [A: term] :
( ( var @ A )
=> ( P @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(19,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( A = B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
= ( ap @ B @ D ) )
=> ( C = D ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [A: term,B: term] :
( ( ( lam @ A )
= ( lam @ B ) )
=> ( A = B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
= ( sub @ B @ sh ) )
=> ( A = B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(24,plain,
( ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [A: term] :
~ ( var @ ( lam @ A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ( P @ A )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(27,plain,
( ( ! [P: term > $o,A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( ( P @ A )
=> ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [P: term > $o] :
( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( P @ ( sub @ A @ M ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(29,plain,
( ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) )
& ! [M: subst] :
( ( comp @ id @ M )
= M )
& ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(31,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[30]) ).
thf(32,plain,
( ( ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[30]) ).
thf(33,plain,
( ( ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[30]) ).
thf(34,plain,
( ( ~ ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $true ),
inference(polarity_switch,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $true ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(37,plain,
( ( ( comp @ ( comp @ sK1_M @ sK2_SY75 ) @ sK3_SY77 )
!= ( comp @ sK1_M @ ( comp @ sK2_SY75 @ sK3_SY77 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(38,plain,
( ( ( comp @ id @ sK4_M )
!= sK4_M )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(39,plain,
( ( ( comp @ sK5_M @ id )
!= sK5_M )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(40,plain,
( ( ! [A: term] :
( ~ ( var @ A )
| ( var @ ( sub @ A @ sh ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(41,plain,
( ( ! [P: term > $o] :
( ~ ( P @ one )
| ( ( var @ ( sK6_A @ P ) )
& ( P @ ( sK6_A @ P ) )
& ~ ( P @ ( sub @ ( sK6_A @ P ) @ sh ) ) )
| ! [A: term] :
( ~ ( var @ A )
| ( P @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(42,plain,
( ( ! [A: term,B: term] :
( ! [C: term,D: term] :
( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(43,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( C = D ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(44,plain,
( ( ! [A: term,B: term] :
( ( ( lam @ A )
!= ( lam @ B ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(45,plain,
( ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
!= ( sub @ B @ sh ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(46,plain,
( ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(47,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK10_A @ P ) )
& ~ ( P @ ( sK10_A @ P ) ) )
| ( ( P @ ( sK8_A @ P ) )
& ( P @ ( sK9_SY78 @ P ) )
& ~ ( P @ ( ap @ ( sK8_A @ P ) @ ( sK9_SY78 @ P ) ) ) )
| ( ( P @ ( sK7_A @ P ) )
& ~ ( P @ ( lam @ ( sK7_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(48,plain,
( ( ! [P: term > $o,A: term,M: subst] :
( ( ( var @ ( sK11_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK11_B @ M @ A @ P ) @ M ) ) )
| ~ ( P @ A )
| ! [B: term] :
( ~ ( var @ B )
| ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(49,plain,
( ( ! [P: term > $o] :
( ( ( P @ ( sK14_A @ P ) )
& ( P @ ( sK15_SY80 @ P ) )
& ~ ( P @ ( ap @ ( sK14_A @ P ) @ ( sK15_SY80 @ P ) ) ) )
| ( ! [SY79: term] :
( ~ ( P @ SY79 )
| ( P @ ( sub @ ( sK13_A @ P ) @ ( push @ SY79 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK13_A @ P ) ) ) )
| ! [A: term,M: subst] :
( ( ( var @ ( sK12_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK12_B @ M @ A @ P ) @ M ) ) )
| ( P @ ( sub @ A @ M ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(50,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK19_A @ P ) )
& ~ ( P @ ( sK19_A @ P ) ) )
| ( ( P @ ( sK17_A @ P ) )
& ( P @ ( sK18_SY82 @ P ) )
& ~ ( P @ ( ap @ ( sK17_A @ P ) @ ( sK18_SY82 @ P ) ) ) )
| ( ! [SY81: term] :
( ~ ( P @ SY81 )
| ( P @ ( sub @ ( sK16_A @ P ) @ ( push @ SY81 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK16_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(51,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK19_A @ P ) )
& ~ ( P @ ( sK19_A @ P ) ) )
| ( ( P @ ( sK17_A @ P ) )
& ( P @ ( sK18_SY82 @ P ) )
& ~ ( P @ ( ap @ ( sK17_A @ P ) @ ( sK18_SY82 @ P ) ) ) )
| ( ! [SY81: term] :
( ~ ( P @ SY81 )
| ( P @ ( sub @ ( sK16_A @ P ) @ ( push @ SY81 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK16_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(52,plain,
( ( ! [P: term > $o] :
( ( ( P @ ( sK14_A @ P ) )
& ( P @ ( sK15_SY80 @ P ) )
& ~ ( P @ ( ap @ ( sK14_A @ P ) @ ( sK15_SY80 @ P ) ) ) )
| ( ! [SY79: term] :
( ~ ( P @ SY79 )
| ( P @ ( sub @ ( sK13_A @ P ) @ ( push @ SY79 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK13_A @ P ) ) ) )
| ! [A: term,M: subst] :
( ( ( var @ ( sK12_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK12_B @ M @ A @ P ) @ M ) ) )
| ( P @ ( sub @ A @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(53,plain,
( ( ! [P: term > $o,A: term,M: subst] :
( ( ( var @ ( sK11_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK11_B @ M @ A @ P ) @ M ) ) )
| ~ ( P @ A )
| ! [B: term] :
( ~ ( var @ B )
| ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(54,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK10_A @ P ) )
& ~ ( P @ ( sK10_A @ P ) ) )
| ( ( P @ ( sK8_A @ P ) )
& ( P @ ( sK9_SY78 @ P ) )
& ~ ( P @ ( ap @ ( sK8_A @ P ) @ ( sK9_SY78 @ P ) ) ) )
| ( ( P @ ( sK7_A @ P ) )
& ~ ( P @ ( lam @ ( sK7_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(55,plain,
( ( ! [A: term] :
~ ( var @ ( lam @ A ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(56,plain,
( ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(57,plain,
( ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(58,plain,
( ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
!= ( sub @ B @ sh ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(59,plain,
( ( ! [A: term,B: term] :
( ( ( lam @ A )
!= ( lam @ B ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(60,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( C = D ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(61,plain,
( ( ! [A: term,B: term] :
( ! [C: term,D: term] :
( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(62,plain,
( ( ! [P: term > $o] :
( ~ ( P @ one )
| ( ( var @ ( sK6_A @ P ) )
& ( P @ ( sK6_A @ P ) )
& ~ ( P @ ( sub @ ( sK6_A @ P ) @ sh ) ) )
| ! [A: term] :
( ~ ( var @ A )
| ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(63,plain,
( ( ! [A: term] :
( ~ ( var @ A )
| ( var @ ( sub @ A @ sh ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(64,plain,
( ( var @ one )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(65,plain,
( ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(66,plain,
( ( ( push @ one @ sh )
= id )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(67,plain,
( ( ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(68,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(69,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(70,plain,
( ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(71,plain,
( ( ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(72,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(73,plain,
( ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(74,plain,
( ( ! [A: term] :
( ( sub @ A @ id )
= A ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(75,plain,
( ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(76,plain,
( ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(77,plain,
( ( ( comp @ ( comp @ sK1_M @ sK2_SY75 ) @ sK3_SY77 )
!= ( comp @ sK1_M @ ( comp @ sK2_SY75 @ sK3_SY77 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(78,plain,
( ( ! [SX0: term > $o,SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK11_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( SX0 @ SX1 )
| ! [SX3: term] :
( ~ ( var @ SX3 )
| ( SX0 @ ( sub @ SX3 @ ( push @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(79,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK19_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK19_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK17_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK18_SY82 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK17_A @ SX0 ) @ ( sK18_SY82 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK16_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK16_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(80,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK10_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK10_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK8_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK9_SY78 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK8_A @ SX0 ) @ ( sK9_SY78 @ SX0 ) ) ) ) )
| ~ ( ~ ( SX0 @ ( sK7_A @ SX0 ) )
| ~ ~ ( SX0 @ ( lam @ ( sK7_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(81,plain,
( ( ! [SX0: term > $o] :
( ~ ( SX0 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK6_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK6_A @ SX0 ) @ sh ) ) ) )
| ! [SX1: term] :
( ~ ( var @ SX1 )
| ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(82,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( SX0 @ ( sK14_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK15_SY80 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK14_A @ SX0 ) @ ( sK15_SY80 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK13_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK13_A @ SX0 ) ) ) )
| ! [SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK12_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0 @ ( sub @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(83,plain,
! [SV1: term] :
( ( ~ ( var @ ( lam @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(84,plain,
! [SV2: term] :
( ( ! [SY83: term] :
~ ( var @ ( ap @ SV2 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(85,plain,
! [SV3: term] :
( ( ! [SY84: term,SY85: term] :
( ( lam @ SV3 )
!= ( ap @ SY84 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(86,plain,
! [SV4: term] :
( ( ! [SY86: term] :
( ( ( sub @ SV4 @ sh )
!= ( sub @ SY86 @ sh ) )
| ( SV4 = SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(87,plain,
! [SV5: term] :
( ( ! [SY87: term] :
( ( ( lam @ SV5 )
!= ( lam @ SY87 ) )
| ( SV5 = SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(88,plain,
! [SV6: term] :
( ( ! [SY88: term,SY89: term,SY90: term] :
( ( ( ap @ SV6 @ SY89 )
!= ( ap @ SY88 @ SY90 ) )
| ( SY89 = SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(89,plain,
! [SV7: term] :
( ( ! [SY91: term] :
( ! [SY92: term,SY93: term] :
( ( ap @ SV7 @ SY92 )
!= ( ap @ SY91 @ SY93 ) )
| ( SV7 = SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(90,plain,
! [SV8: term] :
( ( ~ ( var @ SV8 )
| ( var @ ( sub @ SV8 @ sh ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(91,plain,
! [SV9: subst] :
( ( ( push @ ( sub @ one @ SV9 ) @ ( comp @ sh @ SV9 ) )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(92,plain,
! [SV10: subst] :
( ( ( comp @ SV10 @ id )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(93,plain,
! [SV11: term] :
( ( ! [SY94: subst,SY95: subst] :
( ( comp @ ( push @ SV11 @ SY94 ) @ SY95 )
= ( push @ ( sub @ SV11 @ SY95 ) @ ( comp @ SY94 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(94,plain,
! [SV12: subst] :
( ( ! [SY96: subst,SY97: subst] :
( ( comp @ ( comp @ SV12 @ SY96 ) @ SY97 )
= ( comp @ SV12 @ ( comp @ SY96 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(95,plain,
! [SV13: term] :
( ( ! [SY98: subst] :
( ( comp @ sh @ ( push @ SV13 @ SY98 ) )
= SY98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(96,plain,
! [SV14: subst] :
( ( ( comp @ id @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(97,plain,
! [SV15: term] :
( ( ! [SY99: subst,SY100: subst] :
( ( sub @ ( sub @ SV15 @ SY99 ) @ SY100 )
= ( sub @ SV15 @ ( comp @ SY99 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(98,plain,
! [SV16: term] :
( ( ! [SY101: subst] :
( ( sub @ ( lam @ SV16 ) @ SY101 )
= ( lam @ ( sub @ SV16 @ ( push @ one @ ( comp @ SY101 @ sh ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(99,plain,
! [SV17: term] :
( ( ( sub @ SV17 @ id )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(100,plain,
! [SV18: term] :
( ( ! [SY102: subst] :
( ( sub @ one @ ( push @ SV18 @ SY102 ) )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(101,plain,
! [SV19: term] :
( ( ! [SY103: term,SY104: subst] :
( ( sub @ ( ap @ SV19 @ SY103 ) @ SY104 )
= ( ap @ ( sub @ SV19 @ SY104 ) @ ( sub @ SY103 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(102,plain,
( ( ( comp @ ( comp @ sK1_M @ sK2_SY75 ) @ sK3_SY77 )
= ( comp @ sK1_M @ ( comp @ sK2_SY75 @ sK3_SY77 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(103,plain,
! [SV20: term > $o] :
( ( ! [SY105: term,SY106: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY106 @ SY105 @ SV20 ) )
| ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SY106 @ SY105 @ SV20 ) @ SY106 ) ) )
| ~ ( SV20 @ SY105 )
| ! [SY107: term] :
( ~ ( var @ SY107 )
| ( SV20 @ ( sub @ SY107 @ ( push @ SY105 @ SY106 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(104,plain,
! [SV21: term > $o] :
( ( ~ ( ~ ( var @ ( sK19_A @ SV21 ) )
| ~ ~ ( SV21 @ ( sK19_A @ SV21 ) ) )
| ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(105,plain,
! [SV22: term > $o] :
( ( ~ ( ~ ( var @ ( sK10_A @ SV22 ) )
| ~ ~ ( SV22 @ ( sK10_A @ SV22 ) ) )
| ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(106,plain,
! [SV23: term > $o] :
( ( ~ ( SV23 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SV23 ) )
| ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
| ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(107,plain,
! [SV24: term > $o] :
( ( ~ ( ~ ( SV24 @ ( sK14_A @ SV24 ) )
| ~ ~ ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) ) )
| ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(108,plain,
! [SV1: term] :
( ( var @ ( lam @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(109,plain,
! [SV25: term,SV2: term] :
( ( ~ ( var @ ( ap @ SV2 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(110,plain,
! [SV26: term,SV3: term] :
( ( ! [SY115: term] :
( ( lam @ SV3 )
!= ( ap @ SV26 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(111,plain,
! [SV27: term,SV4: term] :
( ( ( ( sub @ SV4 @ sh )
!= ( sub @ SV27 @ sh ) )
| ( SV4 = SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(112,plain,
! [SV28: term,SV5: term] :
( ( ( ( lam @ SV5 )
!= ( lam @ SV28 ) )
| ( SV5 = SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(113,plain,
! [SV29: term,SV6: term] :
( ( ! [SY116: term,SY117: term] :
( ( ( ap @ SV6 @ SY116 )
!= ( ap @ SV29 @ SY117 ) )
| ( SY116 = SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(114,plain,
! [SV30: term,SV7: term] :
( ( ! [SY118: term,SY119: term] :
( ( ap @ SV7 @ SY118 )
!= ( ap @ SV30 @ SY119 ) )
| ( SV7 = SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(115,plain,
! [SV8: term] :
( ( ( ~ ( var @ SV8 ) )
= $true )
| ( ( var @ ( sub @ SV8 @ sh ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(116,plain,
! [SV31: subst,SV11: term] :
( ( ! [SY120: subst] :
( ( comp @ ( push @ SV11 @ SV31 ) @ SY120 )
= ( push @ ( sub @ SV11 @ SY120 ) @ ( comp @ SV31 @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(117,plain,
! [SV32: subst,SV12: subst] :
( ( ! [SY121: subst] :
( ( comp @ ( comp @ SV12 @ SV32 ) @ SY121 )
= ( comp @ SV12 @ ( comp @ SV32 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(118,plain,
! [SV33: subst,SV13: term] :
( ( ( comp @ sh @ ( push @ SV13 @ SV33 ) )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(119,plain,
! [SV34: subst,SV15: term] :
( ( ! [SY122: subst] :
( ( sub @ ( sub @ SV15 @ SV34 ) @ SY122 )
= ( sub @ SV15 @ ( comp @ SV34 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(120,plain,
! [SV35: subst,SV16: term] :
( ( ( sub @ ( lam @ SV16 ) @ SV35 )
= ( lam @ ( sub @ SV16 @ ( push @ one @ ( comp @ SV35 @ sh ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(121,plain,
! [SV36: subst,SV18: term] :
( ( ( sub @ one @ ( push @ SV18 @ SV36 ) )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(122,plain,
! [SV37: term,SV19: term] :
( ( ! [SY123: subst] :
( ( sub @ ( ap @ SV19 @ SV37 ) @ SY123 )
= ( ap @ ( sub @ SV19 @ SY123 ) @ ( sub @ SV37 @ SY123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(123,plain,
! [SV20: term > $o,SV38: term] :
( ( ! [SY124: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY124 @ SV38 @ SV20 ) )
| ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SY124 @ SV38 @ SV20 ) @ SY124 ) ) )
| ~ ( SV20 @ SV38 )
| ! [SY125: term] :
( ~ ( var @ SY125 )
| ( SV20 @ ( sub @ SY125 @ ( push @ SV38 @ SY124 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK19_A @ SV21 ) )
| ~ ~ ( SV21 @ ( sK19_A @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK10_A @ SV22 ) )
| ~ ~ ( SV22 @ ( sK10_A @ SV22 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV23: term > $o] :
( ( ( ~ ( SV23 @ one ) )
= $true )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV23 ) )
| ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
| ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV24: term > $o] :
( ( ( ~ ( ~ ( SV24 @ ( sK14_A @ SV24 ) )
| ~ ~ ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV25: term,SV2: term] :
( ( var @ ( ap @ SV2 @ SV25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV39: term,SV26: term,SV3: term] :
( ( ( lam @ SV3 )
!= ( ap @ SV26 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV27: term,SV4: term] :
( ( ( ( sub @ SV4 @ sh )
!= ( sub @ SV27 @ sh ) )
= $true )
| ( ( SV4 = SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV28: term,SV5: term] :
( ( ( ( lam @ SV5 )
!= ( lam @ SV28 ) )
= $true )
| ( ( SV5 = SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(132,plain,
! [SV29: term,SV40: term,SV6: term] :
( ( ! [SY126: term] :
( ( ( ap @ SV6 @ SV40 )
!= ( ap @ SV29 @ SY126 ) )
| ( SV40 = SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(133,plain,
! [SV30: term,SV7: term] :
( ( ( ! [SY118: term,SY119: term] :
( ( ap @ SV7 @ SY118 )
!= ( ap @ SV30 @ SY119 ) ) )
= $true )
| ( ( SV7 = SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(134,plain,
! [SV8: term] :
( ( ( var @ SV8 )
= $false )
| ( ( var @ ( sub @ SV8 @ sh ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(135,plain,
! [SV41: subst,SV31: subst,SV11: term] :
( ( ( comp @ ( push @ SV11 @ SV31 ) @ SV41 )
= ( push @ ( sub @ SV11 @ SV41 ) @ ( comp @ SV31 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(136,plain,
! [SV42: subst,SV32: subst,SV12: subst] :
( ( ( comp @ ( comp @ SV12 @ SV32 ) @ SV42 )
= ( comp @ SV12 @ ( comp @ SV32 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(137,plain,
! [SV43: subst,SV34: subst,SV15: term] :
( ( ( sub @ ( sub @ SV15 @ SV34 ) @ SV43 )
= ( sub @ SV15 @ ( comp @ SV34 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(138,plain,
! [SV44: subst,SV37: term,SV19: term] :
( ( ( sub @ ( ap @ SV19 @ SV37 ) @ SV44 )
= ( ap @ ( sub @ SV19 @ SV44 ) @ ( sub @ SV37 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(139,plain,
! [SV20: term > $o,SV38: term,SV45: subst] :
( ( ~ ( ~ ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
| ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) ) )
| ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(140,plain,
! [SV21: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV21 ) )
| ~ ~ ( SV21 @ ( sK19_A @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(141,plain,
! [SV22: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV22 ) )
| ~ ~ ( SV22 @ ( sK10_A @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(142,plain,
! [SV23: term > $o] :
( ( ( SV23 @ one )
= $false )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV23 ) )
| ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
| ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(143,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sK14_A @ SV24 ) )
| ~ ~ ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(144,plain,
! [SV39: term,SV26: term,SV3: term] :
( ( ( lam @ SV3 )
= ( ap @ SV26 @ SV39 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV27: term,SV4: term] :
( ( ( ( sub @ SV4 @ sh )
= ( sub @ SV27 @ sh ) )
= $false )
| ( ( SV4 = SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV28: term,SV5: term] :
( ( ( ( lam @ SV5 )
= ( lam @ SV28 ) )
= $false )
| ( ( SV5 = SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV46: term,SV29: term,SV40: term,SV6: term] :
( ( ( ( ap @ SV6 @ SV40 )
!= ( ap @ SV29 @ SV46 ) )
| ( SV40 = SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV30: term,SV47: term,SV7: term] :
( ( ( ! [SY128: term] :
( ( ap @ SV7 @ SV47 )
!= ( ap @ SV30 @ SY128 ) ) )
= $true )
| ( ( SV7 = SV30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV20: term > $o,SV38: term,SV45: subst] :
( ( ( ~ ( ~ ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
| ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) ) ) )
= $true )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(150,plain,
! [SV21: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(151,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( sK19_A @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(152,plain,
! [SV22: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(153,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( sK10_A @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(154,plain,
! [SV23: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK6_A @ SV23 ) )
| ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) ) )
= $true )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(155,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sK14_A @ SV24 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(156,plain,
! [SV24: term > $o] :
( ( ( ~ ~ ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(157,plain,
! [SV46: term,SV29: term,SV40: term,SV6: term] :
( ( ( ( ap @ SV6 @ SV40 )
!= ( ap @ SV29 @ SV46 ) )
= $true )
| ( ( SV40 = SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV48: term,SV30: term,SV47: term,SV7: term] :
( ( ( ( ap @ SV7 @ SV47 )
!= ( ap @ SV30 @ SV48 ) )
= $true )
| ( ( SV7 = SV30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV20: term > $o,SV38: term,SV45: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
| ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) ) )
= $false )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV21: term > $o] :
( ( ( var @ ( sK19_A @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(161,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK19_A @ SV21 ) ) )
= $true )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(162,plain,
! [SV22: term > $o] :
( ( ( var @ ( sK10_A @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(163,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK10_A @ SV22 ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(164,plain,
! [SV23: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV23 ) )
| ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(166,plain,
! [SV24: term > $o] :
( ( ( ~ ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(167,plain,
! [SV46: term,SV29: term,SV40: term,SV6: term] :
( ( ( ( ap @ SV6 @ SV40 )
= ( ap @ SV29 @ SV46 ) )
= $false )
| ( ( SV40 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV48: term,SV30: term,SV47: term,SV7: term] :
( ( ( ( ap @ SV7 @ SV47 )
= ( ap @ SV30 @ SV48 ) )
= $false )
| ( ( SV7 = SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV20: term > $o,SV38: term,SV45: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) ) )
= $false )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(170,plain,
! [SV38: term,SV45: subst,SV20: term > $o] :
( ( ( ~ ~ ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) ) )
= $false )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(171,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
| ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(174,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
| ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV23: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV23 ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(176,plain,
! [SV23: term > $o] :
( ( ( ~ ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(177,plain,
! [SV24: term > $o] :
( ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(178,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) )
| ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(179,plain,
! [SV20: term > $o,SV38: term,SV45: subst] :
( ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(180,plain,
! [SV38: term,SV45: subst,SV20: term > $o] :
( ( ( ~ ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) ) )
= $true )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(181,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(182,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(183,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(184,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(185,plain,
! [SV23: term > $o] :
( ( ( var @ ( sK6_A @ SV23 ) )
= $true )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(186,plain,
! [SV23: term > $o] :
( ( ( ~ ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) ) )
= $true )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(187,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sK15_SY80 @ SV24 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(189,plain,
! [SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(190,plain,
! [SV45: subst,SV38: term,SV20: term > $o] :
( ( ( ~ ( SV20 @ SV38 ) )
= $true )
| ( ( ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(191,plain,
! [SV38: term,SV45: subst,SV20: term > $o] :
( ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false )
| ( ( ~ ( SV20 @ SV38 )
| ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(192,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK17_A @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(193,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(194,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK17_A @ SV21 ) )
| ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(195,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK8_A @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(196,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(197,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK8_A @ SV22 ) )
| ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV23: term > $o,SV49: term] :
( ( ( ~ ( var @ SV49 )
| ( SV23 @ SV49 ) )
= $true )
| ( ( var @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV23: term > $o] :
( ( ( ~ ( SV23 @ ( sK6_A @ SV23 ) )
| ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(201,plain,
! [SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(202,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(203,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(204,plain,
! [SV45: subst,SV38: term,SV20: term > $o] :
( ( ( SV20 @ SV38 )
= $false )
| ( ( ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(205,plain,
! [SV45: subst,SV38: term,SV20: term > $o] :
( ( ( ~ ( SV20 @ SV38 ) )
= $true )
| ( ( ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true )
| ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(206,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(207,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(208,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK17_A @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(209,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(210,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(211,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(212,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK8_A @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(213,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(214,plain,
! [SV23: term > $o,SV49: term] :
( ( ( ~ ( var @ SV49 ) )
= $true )
| ( ( SV23 @ SV49 )
= $true )
| ( ( var @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(215,plain,
! [SV23: term > $o] :
( ( ( ~ ( SV23 @ ( sK6_A @ SV23 ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(216,plain,
! [SV23: term > $o] :
( ( ( ~ ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(217,plain,
! [SV24: term > $o] :
( ( ( ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(218,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(219,plain,
! [SV24: term > $o] :
( ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
| ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV50: term] :
( ( ( ~ ( var @ SV50 )
| ( SV20 @ ( sub @ SV50 @ ( push @ SV38 @ SV45 ) ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(222,plain,
! [SV45: subst,SV38: term,SV20: term > $o] :
( ( ( SV20 @ SV38 )
= $false )
| ( ( ! [SY127: term] :
( ~ ( var @ SY127 )
| ( SV20 @ ( sub @ SY127 @ ( push @ SV38 @ SV45 ) ) ) ) )
= $true )
| ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(223,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(225,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(226,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(227,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(228,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(229,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(230,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(231,plain,
! [SV23: term > $o,SV49: term] :
( ( ( var @ SV49 )
= $false )
| ( ( SV23 @ SV49 )
= $true )
| ( ( var @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(232,plain,
! [SV23: term > $o] :
( ( ( SV23 @ ( sK6_A @ SV23 ) )
= $true )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(233,plain,
! [SV23: term > $o] :
( ( ( ~ ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) ) )
= $true )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(234,plain,
! [SV51: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV51 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(235,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(236,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(237,plain,
! [SV24: term > $o] :
( ( ( ~ ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(238,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV50: term] :
( ( ( ~ ( var @ SV50 ) )
= $true )
| ( ( SV20 @ ( sub @ SV50 @ ( push @ SV38 @ SV45 ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(239,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV52: term] :
( ( ( ~ ( var @ SV52 )
| ( SV20 @ ( sub @ SV52 @ ( push @ SV38 @ SV45 ) ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(240,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(241,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(242,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(243,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(244,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) )
| ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(245,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(246,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(247,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(248,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(249,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) )
| ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(250,plain,
! [SV23: term > $o,SV53: term] :
( ( ( ~ ( var @ SV53 )
| ( SV23 @ SV53 ) )
= $true )
| ( ( SV23 @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(251,plain,
! [SV23: term > $o] :
( ( ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) )
= $false )
| ( ( ! [SY111: term] :
( ~ ( var @ SY111 )
| ( SV23 @ SY111 ) ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(252,plain,
! [SV51: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV51 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(253,plain,
! [SV24: term > $o,SV54: term] :
( ( ( ! [SY129: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY129 @ SV54 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY129 @ SV54 @ SV24 ) @ SY129 ) ) )
| ( SV24 @ ( sub @ SV54 @ SY129 ) ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(254,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(255,plain,
! [SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(256,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) )
| ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(257,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV50: term] :
( ( ( var @ SV50 )
= $false )
| ( ( SV20 @ ( sub @ SV50 @ ( push @ SV38 @ SV45 ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( var @ ( sK11_B @ SV45 @ SV38 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(258,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV52: term] :
( ( ( ~ ( var @ SV52 ) )
= $true )
| ( ( SV20 @ ( sub @ SV52 @ ( push @ SV38 @ SV45 ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(259,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(260,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(261,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(262,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(263,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(264,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(265,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(266,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(267,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(268,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(269,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(270,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(271,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(272,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(273,plain,
! [SV23: term > $o,SV53: term] :
( ( ( ~ ( var @ SV53 ) )
= $true )
| ( ( SV23 @ SV53 )
= $true )
| ( ( SV23 @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(274,plain,
! [SV23: term > $o,SV55: term] :
( ( ( ~ ( var @ SV55 )
| ( SV23 @ SV55 ) )
= $true )
| ( ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) )
= $false )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(275,plain,
! [SV51: term,SV24: term > $o] :
( ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(276,plain,
! [SV24: term > $o,SV54: term,SV56: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV56 @ SV54 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) ) )
| ( SV24 @ ( sub @ SV54 @ SV56 ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(277,plain,
! [SV24: term > $o] :
( ( ( ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(278,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(279,plain,
! [SV24: term > $o] :
( ( ( ~ ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(280,plain,
! [SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(281,plain,
! [SV45: subst,SV38: term,SV20: term > $o,SV52: term] :
( ( ( var @ SV52 )
= $false )
| ( ( SV20 @ ( sub @ SV52 @ ( push @ SV38 @ SV45 ) ) )
= $true )
| ( ( SV20 @ SV38 )
= $false )
| ( ( SV20 @ ( sub @ ( sK11_B @ SV45 @ SV38 @ SV20 ) @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(282,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(283,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(284,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(285,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(286,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(287,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(288,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(289,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(290,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(291,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(292,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(293,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(294,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(295,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(296,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(297,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(298,plain,
! [SV23: term > $o,SV53: term] :
( ( ( var @ SV53 )
= $false )
| ( ( SV23 @ SV53 )
= $true )
| ( ( SV23 @ ( sK6_A @ SV23 ) )
= $true )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(299,plain,
! [SV23: term > $o,SV55: term] :
( ( ( ~ ( var @ SV55 ) )
= $true )
| ( ( SV23 @ SV55 )
= $true )
| ( ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) )
= $false )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(300,plain,
! [SV51: term,SV24: term > $o,SV57: term] :
( ( ( ! [SY130: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY130 @ SV57 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY130 @ SV57 @ SV24 ) @ SY130 ) ) )
| ( SV24 @ ( sub @ SV57 @ SY130 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(301,plain,
! [SV24: term > $o,SV54: term,SV56: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV56 @ SV54 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(302,plain,
! [SV58: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV58 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(303,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(304,plain,
! [SV24: term > $o] :
( ( ( ! [SY112: term] :
( ~ ( SV24 @ SY112 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SY112 @ id ) ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(305,plain,
! [SV24: term > $o] :
( ( ( ~ ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(306,plain,
! [SV59: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV59 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV59 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(307,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(308,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(309,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(310,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(311,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(312,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(313,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
| ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(314,plain,
! [SV60: term,SV22: term > $o] :
( ( ( SV22 @ SV60 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(315,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(316,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(317,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(318,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(319,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(320,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(321,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
| ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(322,plain,
! [SV23: term > $o,SV55: term] :
( ( ( var @ SV55 )
= $false )
| ( ( SV23 @ SV55 )
= $true )
| ( ( SV23 @ ( sub @ ( sK6_A @ SV23 ) @ sh ) )
= $false )
| ( ( SV23 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(323,plain,
! [SV51: term,SV24: term > $o,SV57: term,SV61: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV61 @ SV57 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) ) )
| ( SV24 @ ( sub @ SV57 @ SV61 ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(324,plain,
! [SV24: term > $o,SV54: term,SV56: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV56 @ SV54 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(325,plain,
! [SV58: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV58 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(326,plain,
! [SV24: term > $o,SV62: term] :
( ( ( ! [SY131: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY131 @ SV62 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY131 @ SV62 @ SV24 ) @ SY131 ) ) )
| ( SV24 @ ( sub @ SV62 @ SY131 ) ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(327,plain,
! [SV63: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV63 )
| ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(328,plain,
! [SV24: term > $o] :
( ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(329,plain,
! [SV59: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV59 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV59 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(330,plain,
! [SV64: term,SV21: term > $o] :
( ( ( SV21 @ SV64 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(331,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(332,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(333,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(334,plain,
! [SV65: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV65 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV65 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(335,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(336,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(337,plain,
! [SV21: term > $o] :
( ( ( ~ ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(338,plain,
! [SV66: term,SV22: term > $o] :
( ( ( SV22 @ SV66 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(339,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(340,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(341,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(342,plain,
! [SV67: term,SV22: term > $o] :
( ( ( SV22 @ SV67 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(343,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(344,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(345,plain,
! [SV22: term > $o] :
( ( ( ~ ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(346,plain,
! [SV51: term,SV24: term > $o,SV57: term,SV61: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV61 @ SV57 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(347,plain,
! [SV24: term > $o,SV54: term,SV56: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV56 @ SV54 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(348,plain,
! [SV54: term,SV56: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(349,plain,
! [SV58: term,SV24: term > $o] :
( ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(350,plain,
! [SV24: term > $o,SV62: term,SV68: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV68 @ SV62 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) ) )
| ( SV24 @ ( sub @ SV62 @ SV68 ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(351,plain,
! [SV63: term,SV24: term > $o] :
( ( ( ~ ( SV24 @ SV63 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(352,plain,
! [SV24: term > $o,SV69: term] :
( ( ( ! [SY132: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY132 @ SV69 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY132 @ SV69 @ SV24 ) @ SY132 ) ) )
| ( SV24 @ ( sub @ SV69 @ SY132 ) ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(353,plain,
! [SV59: term,SV21: term > $o] :
( ( ( SV21 @ SV59 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV59 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(354,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(355,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(356,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(357,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(358,plain,
! [SV65: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV65 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV65 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(359,plain,
! [SV70: term,SV21: term > $o] :
( ( ( SV21 @ SV70 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(360,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(361,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(362,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) )
| ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(363,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(364,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(365,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(366,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(367,plain,
! [SV71: term,SV22: term > $o] :
( ( ( SV22 @ SV71 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK8_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(368,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(369,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(370,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) )
| ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(371,plain,
! [SV51: term,SV24: term > $o,SV57: term,SV61: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV61 @ SV57 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(372,plain,
! [SV24: term > $o,SV54: term,SV56: subst] :
( ( ( var @ ( sK12_B @ SV56 @ SV54 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(373,plain,
! [SV54: term,SV56: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(374,plain,
! [SV58: term,SV24: term > $o,SV72: term] :
( ( ( ! [SY133: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY133 @ SV72 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY133 @ SV72 @ SV24 ) @ SY133 ) ) )
| ( SV24 @ ( sub @ SV72 @ SY133 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(375,plain,
! [SV24: term > $o,SV62: term,SV68: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV68 @ SV62 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(376,plain,
! [SV63: term,SV24: term > $o] :
( ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( ! [SY113: term,SY114: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY114 @ SY113 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY114 @ SY113 @ SV24 ) @ SY114 ) ) )
| ( SV24 @ ( sub @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(377,plain,
! [SV24: term > $o,SV69: term,SV73: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV73 @ SV69 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) ) )
| ( SV24 @ ( sub @ SV69 @ SV73 ) ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(378,plain,
! [SV59: term,SV74: term,SV21: term > $o] :
( ( ( SV21 @ SV74 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV59 @ id ) ) )
= $true )
| ( ( SV21 @ SV59 )
= $false )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(379,plain,
! [SV75: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV75 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV75 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(380,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(381,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(382,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(383,plain,
! [SV65: term,SV21: term > $o] :
( ( ( SV21 @ SV65 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV65 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(384,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(385,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(386,plain,
! [SV21: term > $o] :
( ( ( ~ ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(387,plain,
! [SV21: term > $o] :
( ( ( ~ ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(388,plain,
! [SV76: term,SV22: term > $o] :
( ( ( SV22 @ SV76 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(389,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(390,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(391,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(392,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(393,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(394,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(395,plain,
! [SV22: term > $o] :
( ( ( ~ ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(396,plain,
! [SV51: term,SV24: term > $o,SV57: term,SV61: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV61 @ SV57 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(397,plain,
! [SV51: term,SV57: term,SV61: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(398,plain,
! [SV54: term,SV56: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV56 @ SV54 @ SV24 ) @ SV56 ) )
= $false )
| ( ( SV24 @ ( sub @ SV54 @ SV56 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(399,plain,
! [SV58: term,SV24: term > $o,SV72: term,SV77: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV77 @ SV72 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) ) )
| ( SV24 @ ( sub @ SV72 @ SV77 ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(400,plain,
! [SV24: term > $o,SV62: term,SV68: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV68 @ SV62 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(401,plain,
! [SV63: term,SV24: term > $o,SV78: term] :
( ( ( ! [SY134: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY134 @ SV78 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SY134 @ SV78 @ SV24 ) @ SY134 ) ) )
| ( SV24 @ ( sub @ SV78 @ SY134 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(402,plain,
! [SV24: term > $o,SV69: term,SV73: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV73 @ SV69 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(403,plain,
! [SV75: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV75 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV75 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(404,plain,
! [SV79: term,SV21: term > $o] :
( ( ( SV21 @ SV79 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(405,plain,
! [SV80: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV80 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV80 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(406,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(407,plain,
! [SV65: term,SV81: term,SV21: term > $o] :
( ( ( SV21 @ SV81 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV65 @ id ) ) )
= $true )
| ( ( SV21 @ SV65 )
= $false )
| ( ( SV21 @ ( sK17_A @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(408,plain,
! [SV82: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV82 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV82 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(409,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(410,plain,
! [SV21: term > $o] :
( ( ( ! [SY108: term] :
( ~ ( SV21 @ SY108 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SY108 @ id ) ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(411,plain,
! [SV21: term > $o] :
( ( ( ~ ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(412,plain,
! [SV83: term,SV22: term > $o] :
( ( ( SV22 @ SV83 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(413,plain,
! [SV84: term,SV22: term > $o] :
( ( ( SV22 @ SV84 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(414,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(415,plain,
! [SV85: term,SV22: term > $o] :
( ( ( SV22 @ SV85 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(416,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(417,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(418,plain,
! [SV22: term > $o] :
( ( ( ~ ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) ) )
= $true )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(419,plain,
! [SV51: term,SV24: term > $o,SV57: term,SV61: subst] :
( ( ( var @ ( sK12_B @ SV61 @ SV57 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(420,plain,
! [SV51: term,SV57: term,SV61: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(421,plain,
! [SV58: term,SV24: term > $o,SV72: term,SV77: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV77 @ SV72 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(422,plain,
! [SV24: term > $o,SV62: term,SV68: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV68 @ SV62 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(423,plain,
! [SV62: term,SV68: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(424,plain,
! [SV63: term,SV24: term > $o,SV78: term,SV86: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV86 @ SV78 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) ) )
| ( SV24 @ ( sub @ SV78 @ SV86 ) ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(425,plain,
! [SV24: term > $o,SV69: term,SV73: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV73 @ SV69 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(426,plain,
! [SV75: term,SV21: term > $o] :
( ( ( SV21 @ SV75 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV75 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(427,plain,
! [SV80: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV80 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV80 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(428,plain,
! [SV87: term,SV21: term > $o] :
( ( ( SV21 @ SV87 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(429,plain,
! [SV82: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV82 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV82 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(430,plain,
! [SV88: term,SV21: term > $o] :
( ( ( SV21 @ SV88 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(431,plain,
! [SV89: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV89 )
| ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV89 @ id ) ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(432,plain,
! [SV21: term > $o] :
( ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(433,plain,
! [SV90: term,SV22: term > $o] :
( ( ( SV22 @ SV90 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(434,plain,
! [SV91: term,SV22: term > $o] :
( ( ( SV22 @ SV91 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK9_SY78 @ SV22 ) )
= $true )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(435,plain,
! [SV92: term,SV22: term > $o] :
( ( ( SV22 @ SV92 )
= $true )
| ( ( SV22 @ ( sK7_A @ SV22 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(436,plain,
! [SV22: term > $o] :
( ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( ! [SY110: term] : ( SV22 @ SY110 ) )
= $true )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(437,plain,
! [SV51: term,SV57: term,SV61: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV61 @ SV57 @ SV24 ) @ SV61 ) )
= $false )
| ( ( SV24 @ ( sub @ SV57 @ SV61 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV51 @ id ) ) )
= $true )
| ( ( SV24 @ SV51 )
= $false )
| ( ( SV24 @ ( sK14_A @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(438,plain,
! [SV58: term,SV24: term > $o,SV72: term,SV77: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV77 @ SV72 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(439,plain,
! [SV24: term > $o,SV62: term,SV68: subst] :
( ( ( var @ ( sK12_B @ SV68 @ SV62 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(440,plain,
! [SV62: term,SV68: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(441,plain,
! [SV63: term,SV24: term > $o,SV78: term,SV86: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV86 @ SV78 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(442,plain,
! [SV24: term > $o,SV69: term,SV73: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV73 @ SV69 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(443,plain,
! [SV69: term,SV73: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(444,plain,
! [SV75: term,SV93: term,SV21: term > $o] :
( ( ( SV21 @ SV93 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV75 @ id ) ) )
= $true )
| ( ( SV21 @ SV75 )
= $false )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV80: term,SV21: term > $o] :
( ( ( SV21 @ SV80 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV80 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(446,plain,
! [SV82: term,SV21: term > $o] :
( ( ( SV21 @ SV82 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV82 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(447,plain,
! [SV89: term,SV21: term > $o] :
( ( ( ~ ( SV21 @ SV89 ) )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV89 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(448,plain,
! [SV94: term,SV21: term > $o] :
( ( ( SV21 @ SV94 )
= $true )
| ( ( SV21 @ ( lam @ ( sK16_A @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(449,plain,
! [SV95: term,SV22: term > $o] :
( ( ( SV22 @ SV95 )
= $true )
| ( ( SV22 @ ( lam @ ( sK7_A @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( ap @ ( sK8_A @ SV22 ) @ ( sK9_SY78 @ SV22 ) ) )
= $false )
| ( ( SV22 @ ( sK10_A @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(450,plain,
! [SV58: term,SV24: term > $o,SV72: term,SV77: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV77 @ SV72 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(451,plain,
! [SV58: term,SV72: term,SV77: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(452,plain,
! [SV62: term,SV68: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV68 @ SV62 @ SV24 ) @ SV68 ) )
= $false )
| ( ( SV24 @ ( sub @ SV62 @ SV68 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(453,plain,
! [SV63: term,SV24: term > $o,SV78: term,SV86: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV86 @ SV78 @ SV24 ) )
| ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(454,plain,
! [SV24: term > $o,SV69: term,SV73: subst] :
( ( ( var @ ( sK12_B @ SV73 @ SV69 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(455,plain,
! [SV69: term,SV73: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(456,plain,
! [SV80: term,SV96: term,SV21: term > $o] :
( ( ( SV21 @ SV96 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV80 @ id ) ) )
= $true )
| ( ( SV21 @ SV80 )
= $false )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(457,plain,
! [SV82: term,SV97: term,SV21: term > $o] :
( ( ( SV21 @ SV97 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV82 @ id ) ) )
= $true )
| ( ( SV21 @ SV82 )
= $false )
| ( ( SV21 @ ( sK18_SY82 @ SV21 ) )
= $true )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(458,plain,
! [SV89: term,SV21: term > $o] :
( ( ( SV21 @ SV89 )
= $false )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV89 @ id ) ) )
= $true )
| ( ( ! [SY109: term] : ( SV21 @ SY109 ) )
= $true )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(459,plain,
! [SV58: term,SV24: term > $o,SV72: term,SV77: subst] :
( ( ( var @ ( sK12_B @ SV77 @ SV72 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(460,plain,
! [SV58: term,SV72: term,SV77: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(461,plain,
! [SV63: term,SV24: term > $o,SV78: term,SV86: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV86 @ SV78 @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(462,plain,
! [SV63: term,SV78: term,SV86: subst,SV24: term > $o] :
( ( ( ~ ~ ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) ) )
= $false )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(463,plain,
! [SV69: term,SV73: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV73 @ SV69 @ SV24 ) @ SV73 ) )
= $false )
| ( ( SV24 @ ( sub @ SV69 @ SV73 ) )
= $true )
| ( ( SV24 @ ( lam @ ( sK13_A @ SV24 ) ) )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(464,plain,
! [SV89: term,SV98: term,SV21: term > $o] :
( ( ( SV21 @ SV98 )
= $true )
| ( ( SV21 @ ( sub @ ( sK16_A @ SV21 ) @ ( push @ SV89 @ id ) ) )
= $true )
| ( ( SV21 @ SV89 )
= $false )
| ( ( SV21 @ ( ap @ ( sK17_A @ SV21 ) @ ( sK18_SY82 @ SV21 ) ) )
= $false )
| ( ( SV21 @ ( sK19_A @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(465,plain,
! [SV58: term,SV72: term,SV77: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV77 @ SV72 @ SV24 ) @ SV77 ) )
= $false )
| ( ( SV24 @ ( sub @ SV72 @ SV77 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV58 @ id ) ) )
= $true )
| ( ( SV24 @ SV58 )
= $false )
| ( ( SV24 @ ( sK15_SY80 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(466,plain,
! [SV63: term,SV24: term > $o,SV78: term,SV86: subst] :
( ( ( var @ ( sK12_B @ SV86 @ SV78 @ SV24 ) )
= $true )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(467,plain,
! [SV63: term,SV78: term,SV86: subst,SV24: term > $o] :
( ( ( ~ ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) ) )
= $true )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(468,plain,
! [SV63: term,SV78: term,SV86: subst,SV24: term > $o] :
( ( ( SV24 @ ( sub @ ( sK12_B @ SV86 @ SV78 @ SV24 ) @ SV86 ) )
= $false )
| ( ( SV24 @ ( sub @ SV78 @ SV86 ) )
= $true )
| ( ( SV24 @ ( sub @ ( sK13_A @ SV24 ) @ ( push @ SV63 @ id ) ) )
= $true )
| ( ( SV24 @ SV63 )
= $false )
| ( ( SV24 @ ( ap @ ( sK14_A @ SV24 ) @ ( sK15_SY80 @ SV24 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(469,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[64,468,466,465,464,463,459,457,456,454,452,449,448,444,439,437,435,434,433,430,428,419,415,413,412,407,404,398,388,378,372,367,359,342,338,330,322,314,298,281,257,231,168,167,146,145,144,138,137,136,135,134,128,121,120,118,108,102,99,96,92,91,66]) ).
thf(470,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK19_A @ P ) )
& ~ ( P @ ( sK19_A @ P ) ) )
| ( ( P @ ( sK17_A @ P ) )
& ( P @ ( sK18_SY82 @ P ) )
& ~ ( P @ ( ap @ ( sK17_A @ P ) @ ( sK18_SY82 @ P ) ) ) )
| ( ! [SY81: term] :
( ~ ( P @ SY81 )
| ( P @ ( sub @ ( sK16_A @ P ) @ ( push @ SY81 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK16_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(471,plain,
( ( ! [P: term > $o] :
( ( ( P @ ( sK14_A @ P ) )
& ( P @ ( sK15_SY80 @ P ) )
& ~ ( P @ ( ap @ ( sK14_A @ P ) @ ( sK15_SY80 @ P ) ) ) )
| ( ! [SY79: term] :
( ~ ( P @ SY79 )
| ( P @ ( sub @ ( sK13_A @ P ) @ ( push @ SY79 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK13_A @ P ) ) ) )
| ! [A: term,M: subst] :
( ( ( var @ ( sK12_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK12_B @ M @ A @ P ) @ M ) ) )
| ( P @ ( sub @ A @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(472,plain,
( ( ! [P: term > $o,A: term,M: subst] :
( ( ( var @ ( sK11_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK11_B @ M @ A @ P ) @ M ) ) )
| ~ ( P @ A )
| ! [B: term] :
( ~ ( var @ B )
| ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(473,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK10_A @ P ) )
& ~ ( P @ ( sK10_A @ P ) ) )
| ( ( P @ ( sK8_A @ P ) )
& ( P @ ( sK9_SY78 @ P ) )
& ~ ( P @ ( ap @ ( sK8_A @ P ) @ ( sK9_SY78 @ P ) ) ) )
| ( ( P @ ( sK7_A @ P ) )
& ~ ( P @ ( lam @ ( sK7_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(474,plain,
( ( ! [A: term] :
~ ( var @ ( lam @ A ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(475,plain,
( ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(476,plain,
( ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(477,plain,
( ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
!= ( sub @ B @ sh ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(478,plain,
( ( ! [A: term,B: term] :
( ( ( lam @ A )
!= ( lam @ B ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(479,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( C = D ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(480,plain,
( ( ! [A: term,B: term] :
( ! [C: term,D: term] :
( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(481,plain,
( ( ! [P: term > $o] :
( ~ ( P @ one )
| ( ( var @ ( sK6_A @ P ) )
& ( P @ ( sK6_A @ P ) )
& ~ ( P @ ( sub @ ( sK6_A @ P ) @ sh ) ) )
| ! [A: term] :
( ~ ( var @ A )
| ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(482,plain,
( ( ! [A: term] :
( ~ ( var @ A )
| ( var @ ( sub @ A @ sh ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(483,plain,
( ( var @ one )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(484,plain,
( ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(485,plain,
( ( ( push @ one @ sh )
= id )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(486,plain,
( ( ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(487,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(488,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(489,plain,
( ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(490,plain,
( ( ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(491,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(492,plain,
( ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(493,plain,
( ( ! [A: term] :
( ( sub @ A @ id )
= A ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(494,plain,
( ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(495,plain,
( ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(496,plain,
( ( ( comp @ id @ sK4_M )
!= sK4_M )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(497,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( SX0 @ ( sK14_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK15_SY80 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK14_A @ SX0 ) @ ( sK15_SY80 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK13_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK13_A @ SX0 ) ) ) )
| ! [SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK12_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0 @ ( sub @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(498,plain,
( ( ! [SX0: term > $o,SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK11_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( SX0 @ SX1 )
| ! [SX3: term] :
( ~ ( var @ SX3 )
| ( SX0 @ ( sub @ SX3 @ ( push @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(499,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK10_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK10_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK8_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK9_SY78 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK8_A @ SX0 ) @ ( sK9_SY78 @ SX0 ) ) ) ) )
| ~ ( ~ ( SX0 @ ( sK7_A @ SX0 ) )
| ~ ~ ( SX0 @ ( lam @ ( sK7_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(500,plain,
( ( ! [SX0: term > $o] :
( ~ ( SX0 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK6_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK6_A @ SX0 ) @ sh ) ) ) )
| ! [SX1: term] :
( ~ ( var @ SX1 )
| ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(501,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK19_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK19_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK17_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK18_SY82 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK17_A @ SX0 ) @ ( sK18_SY82 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK16_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK16_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(502,plain,
! [SV99: term] :
( ( ~ ( var @ ( lam @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(503,plain,
! [SV100: term] :
( ( ! [SY135: term] :
~ ( var @ ( ap @ SV100 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(504,plain,
! [SV101: term] :
( ( ! [SY136: term,SY137: term] :
( ( lam @ SV101 )
!= ( ap @ SY136 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(505,plain,
! [SV102: term] :
( ( ! [SY138: term] :
( ( ( sub @ SV102 @ sh )
!= ( sub @ SY138 @ sh ) )
| ( SV102 = SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(506,plain,
! [SV103: term] :
( ( ! [SY139: term] :
( ( ( lam @ SV103 )
!= ( lam @ SY139 ) )
| ( SV103 = SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(507,plain,
! [SV104: term] :
( ( ! [SY140: term,SY141: term,SY142: term] :
( ( ( ap @ SV104 @ SY141 )
!= ( ap @ SY140 @ SY142 ) )
| ( SY141 = SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(508,plain,
! [SV105: term] :
( ( ! [SY143: term] :
( ! [SY144: term,SY145: term] :
( ( ap @ SV105 @ SY144 )
!= ( ap @ SY143 @ SY145 ) )
| ( SV105 = SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(509,plain,
! [SV106: term] :
( ( ~ ( var @ SV106 )
| ( var @ ( sub @ SV106 @ sh ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(510,plain,
! [SV107: subst] :
( ( ( push @ ( sub @ one @ SV107 ) @ ( comp @ sh @ SV107 ) )
= SV107 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(511,plain,
! [SV108: subst] :
( ( ( comp @ SV108 @ id )
= SV108 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(512,plain,
! [SV109: term] :
( ( ! [SY146: subst,SY147: subst] :
( ( comp @ ( push @ SV109 @ SY146 ) @ SY147 )
= ( push @ ( sub @ SV109 @ SY147 ) @ ( comp @ SY146 @ SY147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(513,plain,
! [SV110: subst] :
( ( ! [SY148: subst,SY149: subst] :
( ( comp @ ( comp @ SV110 @ SY148 ) @ SY149 )
= ( comp @ SV110 @ ( comp @ SY148 @ SY149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(514,plain,
! [SV111: term] :
( ( ! [SY150: subst] :
( ( comp @ sh @ ( push @ SV111 @ SY150 ) )
= SY150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(515,plain,
! [SV112: subst] :
( ( ( comp @ id @ SV112 )
= SV112 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(516,plain,
! [SV113: term] :
( ( ! [SY151: subst,SY152: subst] :
( ( sub @ ( sub @ SV113 @ SY151 ) @ SY152 )
= ( sub @ SV113 @ ( comp @ SY151 @ SY152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(517,plain,
! [SV114: term] :
( ( ! [SY153: subst] :
( ( sub @ ( lam @ SV114 ) @ SY153 )
= ( lam @ ( sub @ SV114 @ ( push @ one @ ( comp @ SY153 @ sh ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(518,plain,
! [SV115: term] :
( ( ( sub @ SV115 @ id )
= SV115 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(519,plain,
! [SV116: term] :
( ( ! [SY154: subst] :
( ( sub @ one @ ( push @ SV116 @ SY154 ) )
= SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(520,plain,
! [SV117: term] :
( ( ! [SY155: term,SY156: subst] :
( ( sub @ ( ap @ SV117 @ SY155 ) @ SY156 )
= ( ap @ ( sub @ SV117 @ SY156 ) @ ( sub @ SY155 @ SY156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(521,plain,
( ( ( comp @ id @ sK4_M )
= sK4_M )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(522,plain,
! [SV118: term > $o] :
( ( ~ ( ~ ( SV118 @ ( sK14_A @ SV118 ) )
| ~ ~ ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) ) )
| ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(523,plain,
! [SV119: term > $o] :
( ( ! [SY160: term,SY161: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY161 @ SY160 @ SV119 ) )
| ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SY161 @ SY160 @ SV119 ) @ SY161 ) ) )
| ~ ( SV119 @ SY160 )
| ! [SY162: term] :
( ~ ( var @ SY162 )
| ( SV119 @ ( sub @ SY162 @ ( push @ SY160 @ SY161 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(524,plain,
! [SV120: term > $o] :
( ( ~ ( ~ ( var @ ( sK10_A @ SV120 ) )
| ~ ~ ( SV120 @ ( sK10_A @ SV120 ) ) )
| ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(525,plain,
! [SV121: term > $o] :
( ( ~ ( SV121 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SV121 ) )
| ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
| ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(526,plain,
! [SV122: term > $o] :
( ( ~ ( ~ ( var @ ( sK19_A @ SV122 ) )
| ~ ~ ( SV122 @ ( sK19_A @ SV122 ) ) )
| ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(527,plain,
! [SV99: term] :
( ( var @ ( lam @ SV99 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(528,plain,
! [SV123: term,SV100: term] :
( ( ~ ( var @ ( ap @ SV100 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(529,plain,
! [SV124: term,SV101: term] :
( ( ! [SY167: term] :
( ( lam @ SV101 )
!= ( ap @ SV124 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(530,plain,
! [SV125: term,SV102: term] :
( ( ( ( sub @ SV102 @ sh )
!= ( sub @ SV125 @ sh ) )
| ( SV102 = SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(531,plain,
! [SV126: term,SV103: term] :
( ( ( ( lam @ SV103 )
!= ( lam @ SV126 ) )
| ( SV103 = SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(532,plain,
! [SV127: term,SV104: term] :
( ( ! [SY168: term,SY169: term] :
( ( ( ap @ SV104 @ SY168 )
!= ( ap @ SV127 @ SY169 ) )
| ( SY168 = SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(533,plain,
! [SV128: term,SV105: term] :
( ( ! [SY170: term,SY171: term] :
( ( ap @ SV105 @ SY170 )
!= ( ap @ SV128 @ SY171 ) )
| ( SV105 = SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(534,plain,
! [SV106: term] :
( ( ( ~ ( var @ SV106 ) )
= $true )
| ( ( var @ ( sub @ SV106 @ sh ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(535,plain,
! [SV129: subst,SV109: term] :
( ( ! [SY172: subst] :
( ( comp @ ( push @ SV109 @ SV129 ) @ SY172 )
= ( push @ ( sub @ SV109 @ SY172 ) @ ( comp @ SV129 @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(536,plain,
! [SV130: subst,SV110: subst] :
( ( ! [SY173: subst] :
( ( comp @ ( comp @ SV110 @ SV130 ) @ SY173 )
= ( comp @ SV110 @ ( comp @ SV130 @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(537,plain,
! [SV131: subst,SV111: term] :
( ( ( comp @ sh @ ( push @ SV111 @ SV131 ) )
= SV131 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(538,plain,
! [SV132: subst,SV113: term] :
( ( ! [SY174: subst] :
( ( sub @ ( sub @ SV113 @ SV132 ) @ SY174 )
= ( sub @ SV113 @ ( comp @ SV132 @ SY174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(539,plain,
! [SV133: subst,SV114: term] :
( ( ( sub @ ( lam @ SV114 ) @ SV133 )
= ( lam @ ( sub @ SV114 @ ( push @ one @ ( comp @ SV133 @ sh ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(540,plain,
! [SV134: subst,SV116: term] :
( ( ( sub @ one @ ( push @ SV116 @ SV134 ) )
= SV116 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(541,plain,
! [SV135: term,SV117: term] :
( ( ! [SY175: subst] :
( ( sub @ ( ap @ SV117 @ SV135 ) @ SY175 )
= ( ap @ ( sub @ SV117 @ SY175 ) @ ( sub @ SV135 @ SY175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(542,plain,
! [SV118: term > $o] :
( ( ( ~ ( ~ ( SV118 @ ( sK14_A @ SV118 ) )
| ~ ~ ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(543,plain,
! [SV119: term > $o,SV136: term] :
( ( ! [SY176: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY176 @ SV136 @ SV119 ) )
| ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SY176 @ SV136 @ SV119 ) @ SY176 ) ) )
| ~ ( SV119 @ SV136 )
| ! [SY177: term] :
( ~ ( var @ SY177 )
| ( SV119 @ ( sub @ SY177 @ ( push @ SV136 @ SY176 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(544,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK10_A @ SV120 ) )
| ~ ~ ( SV120 @ ( sK10_A @ SV120 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(545,plain,
! [SV121: term > $o] :
( ( ( ~ ( SV121 @ one ) )
= $true )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV121 ) )
| ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
| ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(546,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK19_A @ SV122 ) )
| ~ ~ ( SV122 @ ( sK19_A @ SV122 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(547,plain,
! [SV123: term,SV100: term] :
( ( var @ ( ap @ SV100 @ SV123 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(548,plain,
! [SV137: term,SV124: term,SV101: term] :
( ( ( lam @ SV101 )
!= ( ap @ SV124 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(549,plain,
! [SV125: term,SV102: term] :
( ( ( ( sub @ SV102 @ sh )
!= ( sub @ SV125 @ sh ) )
= $true )
| ( ( SV102 = SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(550,plain,
! [SV126: term,SV103: term] :
( ( ( ( lam @ SV103 )
!= ( lam @ SV126 ) )
= $true )
| ( ( SV103 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(551,plain,
! [SV127: term,SV138: term,SV104: term] :
( ( ! [SY178: term] :
( ( ( ap @ SV104 @ SV138 )
!= ( ap @ SV127 @ SY178 ) )
| ( SV138 = SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(552,plain,
! [SV128: term,SV105: term] :
( ( ( ! [SY170: term,SY171: term] :
( ( ap @ SV105 @ SY170 )
!= ( ap @ SV128 @ SY171 ) ) )
= $true )
| ( ( SV105 = SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(553,plain,
! [SV106: term] :
( ( ( var @ SV106 )
= $false )
| ( ( var @ ( sub @ SV106 @ sh ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(554,plain,
! [SV139: subst,SV129: subst,SV109: term] :
( ( ( comp @ ( push @ SV109 @ SV129 ) @ SV139 )
= ( push @ ( sub @ SV109 @ SV139 ) @ ( comp @ SV129 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(555,plain,
! [SV140: subst,SV130: subst,SV110: subst] :
( ( ( comp @ ( comp @ SV110 @ SV130 ) @ SV140 )
= ( comp @ SV110 @ ( comp @ SV130 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(556,plain,
! [SV141: subst,SV132: subst,SV113: term] :
( ( ( sub @ ( sub @ SV113 @ SV132 ) @ SV141 )
= ( sub @ SV113 @ ( comp @ SV132 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(557,plain,
! [SV142: subst,SV135: term,SV117: term] :
( ( ( sub @ ( ap @ SV117 @ SV135 ) @ SV142 )
= ( ap @ ( sub @ SV117 @ SV142 ) @ ( sub @ SV135 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(558,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sK14_A @ SV118 ) )
| ~ ~ ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(559,plain,
! [SV119: term > $o,SV136: term,SV143: subst] :
( ( ~ ( ~ ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
| ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) ) )
| ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(560,plain,
! [SV120: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV120 ) )
| ~ ~ ( SV120 @ ( sK10_A @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(561,plain,
! [SV121: term > $o] :
( ( ( SV121 @ one )
= $false )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV121 ) )
| ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
| ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(562,plain,
! [SV122: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV122 ) )
| ~ ~ ( SV122 @ ( sK19_A @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(563,plain,
! [SV137: term,SV124: term,SV101: term] :
( ( ( lam @ SV101 )
= ( ap @ SV124 @ SV137 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(564,plain,
! [SV125: term,SV102: term] :
( ( ( ( sub @ SV102 @ sh )
= ( sub @ SV125 @ sh ) )
= $false )
| ( ( SV102 = SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(565,plain,
! [SV126: term,SV103: term] :
( ( ( ( lam @ SV103 )
= ( lam @ SV126 ) )
= $false )
| ( ( SV103 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(566,plain,
! [SV144: term,SV127: term,SV138: term,SV104: term] :
( ( ( ( ap @ SV104 @ SV138 )
!= ( ap @ SV127 @ SV144 ) )
| ( SV138 = SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(567,plain,
! [SV128: term,SV145: term,SV105: term] :
( ( ( ! [SY180: term] :
( ( ap @ SV105 @ SV145 )
!= ( ap @ SV128 @ SY180 ) ) )
= $true )
| ( ( SV105 = SV128 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(568,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sK14_A @ SV118 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(569,plain,
! [SV118: term > $o] :
( ( ( ~ ~ ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(570,plain,
! [SV119: term > $o,SV136: term,SV143: subst] :
( ( ( ~ ( ~ ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
| ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) ) ) )
= $true )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(571,plain,
! [SV120: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(572,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( sK10_A @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(573,plain,
! [SV121: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK6_A @ SV121 ) )
| ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) ) )
= $true )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(574,plain,
! [SV122: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(575,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( sK19_A @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(576,plain,
! [SV144: term,SV127: term,SV138: term,SV104: term] :
( ( ( ( ap @ SV104 @ SV138 )
!= ( ap @ SV127 @ SV144 ) )
= $true )
| ( ( SV138 = SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(577,plain,
! [SV146: term,SV128: term,SV145: term,SV105: term] :
( ( ( ( ap @ SV105 @ SV145 )
!= ( ap @ SV128 @ SV146 ) )
= $true )
| ( ( SV105 = SV128 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(578,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(579,plain,
! [SV118: term > $o] :
( ( ( ~ ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(580,plain,
! [SV119: term > $o,SV136: term,SV143: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
| ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) ) )
= $false )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(581,plain,
! [SV120: term > $o] :
( ( ( var @ ( sK10_A @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(582,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK10_A @ SV120 ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(583,plain,
! [SV121: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV121 ) )
| ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(584,plain,
! [SV122: term > $o] :
( ( ( var @ ( sK19_A @ SV122 ) )
= $true )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(585,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK19_A @ SV122 ) ) )
= $true )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(586,plain,
! [SV144: term,SV127: term,SV138: term,SV104: term] :
( ( ( ( ap @ SV104 @ SV138 )
= ( ap @ SV127 @ SV144 ) )
= $false )
| ( ( SV138 = SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(587,plain,
! [SV146: term,SV128: term,SV145: term,SV105: term] :
( ( ( ( ap @ SV105 @ SV145 )
= ( ap @ SV128 @ SV146 ) )
= $false )
| ( ( SV105 = SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(588,plain,
! [SV118: term > $o] :
( ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(589,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) )
| ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(590,plain,
! [SV119: term > $o,SV136: term,SV143: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) ) )
= $false )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(591,plain,
! [SV136: term,SV143: subst,SV119: term > $o] :
( ( ( ~ ~ ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) ) )
= $false )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(592,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(593,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
| ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(594,plain,
! [SV121: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV121 ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(595,plain,
! [SV121: term > $o] :
( ( ( ~ ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(596,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(597,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false )
| ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
| ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(598,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(599,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sK15_SY80 @ SV118 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(600,plain,
! [SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(601,plain,
! [SV119: term > $o,SV136: term,SV143: subst] :
( ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(602,plain,
! [SV136: term,SV143: subst,SV119: term > $o] :
( ( ( ~ ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) ) )
= $true )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(603,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(604,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(605,plain,
! [SV121: term > $o] :
( ( ( var @ ( sK6_A @ SV121 ) )
= $true )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(606,plain,
! [SV121: term > $o] :
( ( ( ~ ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) ) )
= $true )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(607,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(608,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(609,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(610,plain,
! [SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(611,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(612,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(613,plain,
! [SV143: subst,SV136: term,SV119: term > $o] :
( ( ( ~ ( SV119 @ SV136 ) )
= $true )
| ( ( ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(614,plain,
! [SV136: term,SV143: subst,SV119: term > $o] :
( ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false )
| ( ( ~ ( SV119 @ SV136 )
| ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(615,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK8_A @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(616,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(617,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK8_A @ SV120 ) )
| ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(618,plain,
! [SV121: term > $o,SV147: term] :
( ( ( ~ ( var @ SV147 )
| ( SV121 @ SV147 ) )
= $true )
| ( ( var @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(619,plain,
! [SV121: term > $o] :
( ( ( ~ ( SV121 @ ( sK6_A @ SV121 ) )
| ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(620,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK17_A @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(621,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(622,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK17_A @ SV122 ) )
| ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(623,plain,
! [SV118: term > $o] :
( ( ( ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(624,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(625,plain,
! [SV118: term > $o] :
( ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(626,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
| ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(627,plain,
! [SV143: subst,SV136: term,SV119: term > $o] :
( ( ( SV119 @ SV136 )
= $false )
| ( ( ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(628,plain,
! [SV143: subst,SV136: term,SV119: term > $o] :
( ( ( ~ ( SV119 @ SV136 ) )
= $true )
| ( ( ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true )
| ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(629,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(630,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(631,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK8_A @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(632,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(633,plain,
! [SV121: term > $o,SV147: term] :
( ( ( ~ ( var @ SV147 ) )
= $true )
| ( ( SV121 @ SV147 )
= $true )
| ( ( var @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(634,plain,
! [SV121: term > $o] :
( ( ( ~ ( SV121 @ ( sK6_A @ SV121 ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(635,plain,
! [SV121: term > $o] :
( ( ( ~ ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(636,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(637,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(638,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK17_A @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(639,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(640,plain,
! [SV148: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV148 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(641,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(642,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(643,plain,
! [SV118: term > $o] :
( ( ( ~ ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(644,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV149: term] :
( ( ( ~ ( var @ SV149 )
| ( SV119 @ ( sub @ SV149 @ ( push @ SV136 @ SV143 ) ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(645,plain,
! [SV143: subst,SV136: term,SV119: term > $o] :
( ( ( SV119 @ SV136 )
= $false )
| ( ( ! [SY179: term] :
( ~ ( var @ SY179 )
| ( SV119 @ ( sub @ SY179 @ ( push @ SV136 @ SV143 ) ) ) ) )
= $true )
| ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(646,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(647,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(648,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(649,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(650,plain,
! [SV121: term > $o,SV147: term] :
( ( ( var @ SV147 )
= $false )
| ( ( SV121 @ SV147 )
= $true )
| ( ( var @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(651,plain,
! [SV121: term > $o] :
( ( ( SV121 @ ( sK6_A @ SV121 ) )
= $true )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(652,plain,
! [SV121: term > $o] :
( ( ( ~ ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) ) )
= $true )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(653,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(654,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(655,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(656,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(657,plain,
! [SV148: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV148 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(658,plain,
! [SV118: term > $o,SV150: term] :
( ( ( ! [SY181: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY181 @ SV150 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY181 @ SV150 @ SV118 ) @ SY181 ) ) )
| ( SV118 @ ( sub @ SV150 @ SY181 ) ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(659,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(660,plain,
! [SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(661,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) )
| ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(662,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV149: term] :
( ( ( ~ ( var @ SV149 ) )
= $true )
| ( ( SV119 @ ( sub @ SV149 @ ( push @ SV136 @ SV143 ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(663,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV151: term] :
( ( ( ~ ( var @ SV151 )
| ( SV119 @ ( sub @ SV151 @ ( push @ SV136 @ SV143 ) ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(664,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(665,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(666,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(667,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(668,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) )
| ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(669,plain,
! [SV121: term > $o,SV152: term] :
( ( ( ~ ( var @ SV152 )
| ( SV121 @ SV152 ) )
= $true )
| ( ( SV121 @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(670,plain,
! [SV121: term > $o] :
( ( ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) )
= $false )
| ( ( ! [SY164: term] :
( ~ ( var @ SY164 )
| ( SV121 @ SY164 ) ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(671,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(672,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(673,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(674,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(675,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) )
| ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(676,plain,
! [SV148: term,SV118: term > $o] :
( ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(677,plain,
! [SV118: term > $o,SV150: term,SV153: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV153 @ SV150 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) ) )
| ( SV118 @ ( sub @ SV150 @ SV153 ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(678,plain,
! [SV118: term > $o] :
( ( ( ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(679,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(680,plain,
! [SV118: term > $o] :
( ( ( ~ ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(681,plain,
! [SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(682,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV149: term] :
( ( ( var @ SV149 )
= $false )
| ( ( SV119 @ ( sub @ SV149 @ ( push @ SV136 @ SV143 ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( var @ ( sK11_B @ SV143 @ SV136 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(683,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV151: term] :
( ( ( ~ ( var @ SV151 ) )
= $true )
| ( ( SV119 @ ( sub @ SV151 @ ( push @ SV136 @ SV143 ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(684,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(685,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(686,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(687,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(688,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(689,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(690,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(691,plain,
! [SV121: term > $o,SV152: term] :
( ( ( ~ ( var @ SV152 ) )
= $true )
| ( ( SV121 @ SV152 )
= $true )
| ( ( SV121 @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(692,plain,
! [SV121: term > $o,SV154: term] :
( ( ( ~ ( var @ SV154 )
| ( SV121 @ SV154 ) )
= $true )
| ( ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) )
= $false )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(693,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(694,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(695,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(696,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(697,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(698,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(699,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(700,plain,
! [SV148: term,SV118: term > $o,SV155: term] :
( ( ( ! [SY182: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY182 @ SV155 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY182 @ SV155 @ SV118 ) @ SY182 ) ) )
| ( SV118 @ ( sub @ SV155 @ SY182 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(701,plain,
! [SV118: term > $o,SV150: term,SV153: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV153 @ SV150 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(702,plain,
! [SV156: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV156 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(703,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(704,plain,
! [SV118: term > $o] :
( ( ( ! [SY157: term] :
( ~ ( SV118 @ SY157 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SY157 @ id ) ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(705,plain,
! [SV118: term > $o] :
( ( ( ~ ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(706,plain,
! [SV143: subst,SV136: term,SV119: term > $o,SV151: term] :
( ( ( var @ SV151 )
= $false )
| ( ( SV119 @ ( sub @ SV151 @ ( push @ SV136 @ SV143 ) ) )
= $true )
| ( ( SV119 @ SV136 )
= $false )
| ( ( SV119 @ ( sub @ ( sK11_B @ SV143 @ SV136 @ SV119 ) @ SV143 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(707,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(708,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(709,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(710,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(711,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(712,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(713,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(714,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(715,plain,
! [SV121: term > $o,SV152: term] :
( ( ( var @ SV152 )
= $false )
| ( ( SV121 @ SV152 )
= $true )
| ( ( SV121 @ ( sK6_A @ SV121 ) )
= $true )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(716,plain,
! [SV121: term > $o,SV154: term] :
( ( ( ~ ( var @ SV154 ) )
= $true )
| ( ( SV121 @ SV154 )
= $true )
| ( ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) )
= $false )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(717,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(718,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(719,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(720,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(721,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(722,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(723,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(724,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(725,plain,
! [SV148: term,SV118: term > $o,SV155: term,SV157: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV157 @ SV155 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) ) )
| ( SV118 @ ( sub @ SV155 @ SV157 ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(726,plain,
! [SV118: term > $o,SV150: term,SV153: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV153 @ SV150 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(727,plain,
! [SV156: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV156 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(728,plain,
! [SV118: term > $o,SV158: term] :
( ( ( ! [SY183: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY183 @ SV158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY183 @ SV158 @ SV118 ) @ SY183 ) ) )
| ( SV118 @ ( sub @ SV158 @ SY183 ) ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(729,plain,
! [SV159: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV159 )
| ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(730,plain,
! [SV118: term > $o] :
( ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(731,plain,
! [SV160: term,SV120: term > $o] :
( ( ( SV120 @ SV160 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(732,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(733,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(734,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(735,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(736,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(737,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(738,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
| ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(739,plain,
! [SV121: term > $o,SV154: term] :
( ( ( var @ SV154 )
= $false )
| ( ( SV121 @ SV154 )
= $true )
| ( ( SV121 @ ( sub @ ( sK6_A @ SV121 ) @ sh ) )
= $false )
| ( ( SV121 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(740,plain,
! [SV161: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV161 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV161 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(741,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(742,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(743,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(744,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(745,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(746,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(747,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
| ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(748,plain,
! [SV148: term,SV118: term > $o,SV155: term,SV157: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV157 @ SV155 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(749,plain,
! [SV118: term > $o,SV150: term,SV153: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV153 @ SV150 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(750,plain,
! [SV150: term,SV153: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(751,plain,
! [SV156: term,SV118: term > $o] :
( ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(752,plain,
! [SV118: term > $o,SV158: term,SV162: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV162 @ SV158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) ) )
| ( SV118 @ ( sub @ SV158 @ SV162 ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(753,plain,
! [SV159: term,SV118: term > $o] :
( ( ( ~ ( SV118 @ SV159 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(754,plain,
! [SV118: term > $o,SV163: term] :
( ( ( ! [SY184: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY184 @ SV163 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY184 @ SV163 @ SV118 ) @ SY184 ) ) )
| ( SV118 @ ( sub @ SV163 @ SY184 ) ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(755,plain,
! [SV164: term,SV120: term > $o] :
( ( ( SV120 @ SV164 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(756,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(757,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(758,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(759,plain,
! [SV165: term,SV120: term > $o] :
( ( ( SV120 @ SV165 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(760,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(761,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(762,plain,
! [SV120: term > $o] :
( ( ( ~ ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(763,plain,
! [SV161: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV161 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV161 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(764,plain,
! [SV166: term,SV122: term > $o] :
( ( ( SV122 @ SV166 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(765,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(766,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(767,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(768,plain,
! [SV167: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV167 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV167 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(769,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(770,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(771,plain,
! [SV122: term > $o] :
( ( ( ~ ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(772,plain,
! [SV148: term,SV118: term > $o,SV155: term,SV157: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV157 @ SV155 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(773,plain,
! [SV118: term > $o,SV150: term,SV153: subst] :
( ( ( var @ ( sK12_B @ SV153 @ SV150 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(774,plain,
! [SV150: term,SV153: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(775,plain,
! [SV156: term,SV118: term > $o,SV168: term] :
( ( ( ! [SY185: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY185 @ SV168 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY185 @ SV168 @ SV118 ) @ SY185 ) ) )
| ( SV118 @ ( sub @ SV168 @ SY185 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(776,plain,
! [SV118: term > $o,SV158: term,SV162: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV162 @ SV158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(777,plain,
! [SV159: term,SV118: term > $o] :
( ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( ! [SY158: term,SY159: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY159 @ SY158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY159 @ SY158 @ SV118 ) @ SY159 ) ) )
| ( SV118 @ ( sub @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(778,plain,
! [SV118: term > $o,SV163: term,SV169: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV169 @ SV163 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) ) )
| ( SV118 @ ( sub @ SV163 @ SV169 ) ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(779,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(780,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(781,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(782,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(783,plain,
! [SV170: term,SV120: term > $o] :
( ( ( SV120 @ SV170 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK8_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(784,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(785,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(786,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) )
| ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(787,plain,
! [SV161: term,SV122: term > $o] :
( ( ( SV122 @ SV161 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV161 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(788,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(789,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(790,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(791,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(792,plain,
! [SV167: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV167 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV167 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(793,plain,
! [SV171: term,SV122: term > $o] :
( ( ( SV122 @ SV171 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(794,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(795,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(796,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) )
| ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(797,plain,
! [SV148: term,SV118: term > $o,SV155: term,SV157: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV157 @ SV155 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(798,plain,
! [SV148: term,SV155: term,SV157: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(799,plain,
! [SV150: term,SV153: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV153 @ SV150 @ SV118 ) @ SV153 ) )
= $false )
| ( ( SV118 @ ( sub @ SV150 @ SV153 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(800,plain,
! [SV156: term,SV118: term > $o,SV168: term,SV172: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV172 @ SV168 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) ) )
| ( SV118 @ ( sub @ SV168 @ SV172 ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(801,plain,
! [SV118: term > $o,SV158: term,SV162: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV162 @ SV158 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(802,plain,
! [SV159: term,SV118: term > $o,SV173: term] :
( ( ( ! [SY186: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY186 @ SV173 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SY186 @ SV173 @ SV118 ) @ SY186 ) ) )
| ( SV118 @ ( sub @ SV173 @ SY186 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(803,plain,
! [SV118: term > $o,SV163: term,SV169: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV169 @ SV163 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(804,plain,
! [SV174: term,SV120: term > $o] :
( ( ( SV120 @ SV174 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(805,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(806,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(807,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(808,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(809,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(810,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(811,plain,
! [SV120: term > $o] :
( ( ( ~ ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(812,plain,
! [SV161: term,SV175: term,SV122: term > $o] :
( ( ( SV122 @ SV175 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV161 @ id ) ) )
= $true )
| ( ( SV122 @ SV161 )
= $false )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(813,plain,
! [SV176: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV176 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV176 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(814,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(815,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(816,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(817,plain,
! [SV167: term,SV122: term > $o] :
( ( ( SV122 @ SV167 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV167 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(818,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(819,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(820,plain,
! [SV122: term > $o] :
( ( ( ~ ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(821,plain,
! [SV122: term > $o] :
( ( ( ~ ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(822,plain,
! [SV148: term,SV118: term > $o,SV155: term,SV157: subst] :
( ( ( var @ ( sK12_B @ SV157 @ SV155 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(823,plain,
! [SV148: term,SV155: term,SV157: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(824,plain,
! [SV156: term,SV118: term > $o,SV168: term,SV172: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV172 @ SV168 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(825,plain,
! [SV118: term > $o,SV158: term,SV162: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV162 @ SV158 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(826,plain,
! [SV158: term,SV162: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(827,plain,
! [SV159: term,SV118: term > $o,SV173: term,SV177: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV177 @ SV173 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) ) )
| ( SV118 @ ( sub @ SV173 @ SV177 ) ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(828,plain,
! [SV118: term > $o,SV163: term,SV169: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV169 @ SV163 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(829,plain,
! [SV178: term,SV120: term > $o] :
( ( ( SV120 @ SV178 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(830,plain,
! [SV179: term,SV120: term > $o] :
( ( ( SV120 @ SV179 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(831,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(832,plain,
! [SV180: term,SV120: term > $o] :
( ( ( SV120 @ SV180 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(833,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(834,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(835,plain,
! [SV120: term > $o] :
( ( ( ~ ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) ) )
= $true )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(836,plain,
! [SV176: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV176 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV176 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(837,plain,
! [SV181: term,SV122: term > $o] :
( ( ( SV122 @ SV181 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(838,plain,
! [SV182: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV182 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV182 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(839,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(840,plain,
! [SV167: term,SV183: term,SV122: term > $o] :
( ( ( SV122 @ SV183 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV167 @ id ) ) )
= $true )
| ( ( SV122 @ SV167 )
= $false )
| ( ( SV122 @ ( sK17_A @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(841,plain,
! [SV184: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV184 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV184 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(842,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(843,plain,
! [SV122: term > $o] :
( ( ( ! [SY165: term] :
( ~ ( SV122 @ SY165 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SY165 @ id ) ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(844,plain,
! [SV122: term > $o] :
( ( ( ~ ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(845,plain,
! [SV148: term,SV155: term,SV157: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV157 @ SV155 @ SV118 ) @ SV157 ) )
= $false )
| ( ( SV118 @ ( sub @ SV155 @ SV157 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV148 @ id ) ) )
= $true )
| ( ( SV118 @ SV148 )
= $false )
| ( ( SV118 @ ( sK14_A @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(846,plain,
! [SV156: term,SV118: term > $o,SV168: term,SV172: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV172 @ SV168 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(847,plain,
! [SV118: term > $o,SV158: term,SV162: subst] :
( ( ( var @ ( sK12_B @ SV162 @ SV158 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(848,plain,
! [SV158: term,SV162: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(849,plain,
! [SV159: term,SV118: term > $o,SV173: term,SV177: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV177 @ SV173 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(850,plain,
! [SV118: term > $o,SV163: term,SV169: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV169 @ SV163 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(851,plain,
! [SV163: term,SV169: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[828]) ).
thf(852,plain,
! [SV185: term,SV120: term > $o] :
( ( ( SV120 @ SV185 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV120 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(853,plain,
! [SV186: term,SV120: term > $o] :
( ( ( SV120 @ SV186 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK9_SY78 @ SV120 ) )
= $true )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(854,plain,
! [SV187: term,SV120: term > $o] :
( ( ( SV120 @ SV187 )
= $true )
| ( ( SV120 @ ( sK7_A @ SV120 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(855,plain,
! [SV120: term > $o] :
( ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( ! [SY163: term] : ( SV120 @ SY163 ) )
= $true )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(856,plain,
! [SV176: term,SV122: term > $o] :
( ( ( SV122 @ SV176 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV176 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(857,plain,
! [SV182: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV182 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV182 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(858,plain,
! [SV188: term,SV122: term > $o] :
( ( ( SV122 @ SV188 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(859,plain,
! [SV184: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV184 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV184 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(860,plain,
! [SV189: term,SV122: term > $o] :
( ( ( SV122 @ SV189 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(861,plain,
! [SV190: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV190 )
| ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV190 @ id ) ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(862,plain,
! [SV122: term > $o] :
( ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(863,plain,
! [SV156: term,SV118: term > $o,SV168: term,SV172: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV172 @ SV168 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(864,plain,
! [SV156: term,SV168: term,SV172: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(865,plain,
! [SV158: term,SV162: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV162 @ SV158 @ SV118 ) @ SV162 ) )
= $false )
| ( ( SV118 @ ( sub @ SV158 @ SV162 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(866,plain,
! [SV159: term,SV118: term > $o,SV173: term,SV177: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV177 @ SV173 @ SV118 ) )
| ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(867,plain,
! [SV118: term > $o,SV163: term,SV169: subst] :
( ( ( var @ ( sK12_B @ SV169 @ SV163 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(868,plain,
! [SV163: term,SV169: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(869,plain,
! [SV191: term,SV120: term > $o] :
( ( ( SV120 @ SV191 )
= $true )
| ( ( SV120 @ ( lam @ ( sK7_A @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( ap @ ( sK8_A @ SV120 ) @ ( sK9_SY78 @ SV120 ) ) )
= $false )
| ( ( SV120 @ ( sK10_A @ SV120 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(870,plain,
! [SV176: term,SV192: term,SV122: term > $o] :
( ( ( SV122 @ SV192 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV176 @ id ) ) )
= $true )
| ( ( SV122 @ SV176 )
= $false )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(871,plain,
! [SV182: term,SV122: term > $o] :
( ( ( SV122 @ SV182 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV182 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(872,plain,
! [SV184: term,SV122: term > $o] :
( ( ( SV122 @ SV184 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV184 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(873,plain,
! [SV190: term,SV122: term > $o] :
( ( ( ~ ( SV122 @ SV190 ) )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV190 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(874,plain,
! [SV193: term,SV122: term > $o] :
( ( ( SV122 @ SV193 )
= $true )
| ( ( SV122 @ ( lam @ ( sK16_A @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(875,plain,
! [SV156: term,SV118: term > $o,SV168: term,SV172: subst] :
( ( ( var @ ( sK12_B @ SV172 @ SV168 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(876,plain,
! [SV156: term,SV168: term,SV172: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(877,plain,
! [SV159: term,SV118: term > $o,SV173: term,SV177: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV177 @ SV173 @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(878,plain,
! [SV159: term,SV173: term,SV177: subst,SV118: term > $o] :
( ( ( ~ ~ ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) ) )
= $false )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(879,plain,
! [SV163: term,SV169: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV169 @ SV163 @ SV118 ) @ SV169 ) )
= $false )
| ( ( SV118 @ ( sub @ SV163 @ SV169 ) )
= $true )
| ( ( SV118 @ ( lam @ ( sK13_A @ SV118 ) ) )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(880,plain,
! [SV182: term,SV194: term,SV122: term > $o] :
( ( ( SV122 @ SV194 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV182 @ id ) ) )
= $true )
| ( ( SV122 @ SV182 )
= $false )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV122 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(881,plain,
! [SV184: term,SV195: term,SV122: term > $o] :
( ( ( SV122 @ SV195 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV184 @ id ) ) )
= $true )
| ( ( SV122 @ SV184 )
= $false )
| ( ( SV122 @ ( sK18_SY82 @ SV122 ) )
= $true )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(882,plain,
! [SV190: term,SV122: term > $o] :
( ( ( SV122 @ SV190 )
= $false )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV190 @ id ) ) )
= $true )
| ( ( ! [SY166: term] : ( SV122 @ SY166 ) )
= $true )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(883,plain,
! [SV156: term,SV168: term,SV172: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV172 @ SV168 @ SV118 ) @ SV172 ) )
= $false )
| ( ( SV118 @ ( sub @ SV168 @ SV172 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV156 @ id ) ) )
= $true )
| ( ( SV118 @ SV156 )
= $false )
| ( ( SV118 @ ( sK15_SY80 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(884,plain,
! [SV159: term,SV118: term > $o,SV173: term,SV177: subst] :
( ( ( var @ ( sK12_B @ SV177 @ SV173 @ SV118 ) )
= $true )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(885,plain,
! [SV159: term,SV173: term,SV177: subst,SV118: term > $o] :
( ( ( ~ ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) ) )
= $true )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(886,plain,
! [SV190: term,SV196: term,SV122: term > $o] :
( ( ( SV122 @ SV196 )
= $true )
| ( ( SV122 @ ( sub @ ( sK16_A @ SV122 ) @ ( push @ SV190 @ id ) ) )
= $true )
| ( ( SV122 @ SV190 )
= $false )
| ( ( SV122 @ ( ap @ ( sK17_A @ SV122 ) @ ( sK18_SY82 @ SV122 ) ) )
= $false )
| ( ( SV122 @ ( sK19_A @ SV122 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(887,plain,
! [SV159: term,SV173: term,SV177: subst,SV118: term > $o] :
( ( ( SV118 @ ( sub @ ( sK12_B @ SV177 @ SV173 @ SV118 ) @ SV177 ) )
= $false )
| ( ( SV118 @ ( sub @ SV173 @ SV177 ) )
= $true )
| ( ( SV118 @ ( sub @ ( sK13_A @ SV118 ) @ ( push @ SV159 @ id ) ) )
= $true )
| ( ( SV118 @ SV159 )
= $false )
| ( ( SV118 @ ( ap @ ( sK14_A @ SV118 ) @ ( sK15_SY80 @ SV118 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(888,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[483,887,886,884,883,881,880,879,875,874,870,869,867,865,860,858,854,853,852,847,845,840,837,832,830,829,822,812,804,799,793,783,773,764,759,755,739,731,715,706,682,650,587,586,565,564,563,557,556,555,554,553,547,540,539,537,527,521,518,515,511,510,485]) ).
thf(889,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK19_A @ P ) )
& ~ ( P @ ( sK19_A @ P ) ) )
| ( ( P @ ( sK17_A @ P ) )
& ( P @ ( sK18_SY82 @ P ) )
& ~ ( P @ ( ap @ ( sK17_A @ P ) @ ( sK18_SY82 @ P ) ) ) )
| ( ! [SY81: term] :
( ~ ( P @ SY81 )
| ( P @ ( sub @ ( sK16_A @ P ) @ ( push @ SY81 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK16_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(890,plain,
( ( ! [P: term > $o] :
( ( ( P @ ( sK14_A @ P ) )
& ( P @ ( sK15_SY80 @ P ) )
& ~ ( P @ ( ap @ ( sK14_A @ P ) @ ( sK15_SY80 @ P ) ) ) )
| ( ! [SY79: term] :
( ~ ( P @ SY79 )
| ( P @ ( sub @ ( sK13_A @ P ) @ ( push @ SY79 @ id ) ) ) )
& ~ ( P @ ( lam @ ( sK13_A @ P ) ) ) )
| ! [A: term,M: subst] :
( ( ( var @ ( sK12_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK12_B @ M @ A @ P ) @ M ) ) )
| ( P @ ( sub @ A @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(891,plain,
( ( ! [P: term > $o,A: term,M: subst] :
( ( ( var @ ( sK11_B @ M @ A @ P ) )
& ~ ( P @ ( sub @ ( sK11_B @ M @ A @ P ) @ M ) ) )
| ~ ( P @ A )
| ! [B: term] :
( ~ ( var @ B )
| ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(892,plain,
( ( ! [P: term > $o] :
( ( ( var @ ( sK10_A @ P ) )
& ~ ( P @ ( sK10_A @ P ) ) )
| ( ( P @ ( sK8_A @ P ) )
& ( P @ ( sK9_SY78 @ P ) )
& ~ ( P @ ( ap @ ( sK8_A @ P ) @ ( sK9_SY78 @ P ) ) ) )
| ( ( P @ ( sK7_A @ P ) )
& ~ ( P @ ( lam @ ( sK7_A @ P ) ) ) )
| ! [A: term] : ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(893,plain,
( ( ! [A: term] :
~ ( var @ ( lam @ A ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(894,plain,
( ( ! [A: term,B: term] :
~ ( var @ ( ap @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(895,plain,
( ( ! [A: term,B: term,C: term] :
( ( lam @ A )
!= ( ap @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(896,plain,
( ( ! [A: term,B: term] :
( ( ( sub @ A @ sh )
!= ( sub @ B @ sh ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(897,plain,
( ( ! [A: term,B: term] :
( ( ( lam @ A )
!= ( lam @ B ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(898,plain,
( ( ! [A: term,B: term,C: term,D: term] :
( ( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( C = D ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(899,plain,
( ( ! [A: term,B: term] :
( ! [C: term,D: term] :
( ( ap @ A @ C )
!= ( ap @ B @ D ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(900,plain,
( ( ! [P: term > $o] :
( ~ ( P @ one )
| ( ( var @ ( sK6_A @ P ) )
& ( P @ ( sK6_A @ P ) )
& ~ ( P @ ( sub @ ( sK6_A @ P ) @ sh ) ) )
| ! [A: term] :
( ~ ( var @ A )
| ( P @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(901,plain,
( ( ! [A: term] :
( ~ ( var @ A )
| ( var @ ( sub @ A @ sh ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(902,plain,
( ( var @ one )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(903,plain,
( ( ! [M: subst] :
( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(904,plain,
( ( ( push @ one @ sh )
= id )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(905,plain,
( ( ! [M: subst] :
( ( comp @ M @ id )
= M ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(906,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(907,plain,
( ( ! [M: subst,N: subst,K: subst] :
( ( comp @ ( comp @ M @ N ) @ K )
= ( comp @ M @ ( comp @ N @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(908,plain,
( ( ! [A: term,M: subst] :
( ( comp @ sh @ ( push @ A @ M ) )
= M ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(909,plain,
( ( ! [M: subst] :
( ( comp @ id @ M )
= M ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(910,plain,
( ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(911,plain,
( ( ! [A: term,M: subst] :
( ( sub @ ( lam @ A ) @ M )
= ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(912,plain,
( ( ! [A: term] :
( ( sub @ A @ id )
= A ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(913,plain,
( ( ! [A: term,M: subst] :
( ( sub @ one @ ( push @ A @ M ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(914,plain,
( ( ! [A: term,B: term,M: subst] :
( ( sub @ ( ap @ A @ B ) @ M )
= ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(915,plain,
( ( ( comp @ sK5_M @ id )
!= sK5_M )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(916,plain,
( ( ! [SX0: term > $o,SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK11_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( SX0 @ SX1 )
| ! [SX3: term] :
( ~ ( var @ SX3 )
| ( SX0 @ ( sub @ SX3 @ ( push @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[891,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(917,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( SX0 @ ( sK14_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK15_SY80 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK14_A @ SX0 ) @ ( sK15_SY80 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK13_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK13_A @ SX0 ) ) ) )
| ! [SX1: term,SX2: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK12_B @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0 @ ( sub @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[890,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(918,plain,
( ( ! [SX0: term > $o] :
( ~ ( SX0 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK6_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sub @ ( sK6_A @ SX0 ) @ sh ) ) ) )
| ! [SX1: term] :
( ~ ( var @ SX1 )
| ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[900,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(919,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK10_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK10_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK8_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK9_SY78 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK8_A @ SX0 ) @ ( sK9_SY78 @ SX0 ) ) ) ) )
| ~ ( ~ ( SX0 @ ( sK7_A @ SX0 ) )
| ~ ~ ( SX0 @ ( lam @ ( sK7_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[892,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(920,plain,
( ( ! [SX0: term > $o] :
( ~ ( ~ ( var @ ( sK19_A @ SX0 ) )
| ~ ~ ( SX0 @ ( sK19_A @ SX0 ) ) )
| ~ ( ~ ( SX0 @ ( sK17_A @ SX0 ) )
| ~ ~ ( ~ ( SX0 @ ( sK18_SY82 @ SX0 ) )
| ~ ~ ( SX0 @ ( ap @ ( sK17_A @ SX0 ) @ ( sK18_SY82 @ SX0 ) ) ) ) )
| ~ ( ~ ! [SX1: term] :
( ~ ( SX0 @ SX1 )
| ( SX0 @ ( sub @ ( sK16_A @ SX0 ) @ ( push @ SX1 @ id ) ) ) )
| ~ ~ ( SX0 @ ( lam @ ( sK16_A @ SX0 ) ) ) )
| ! [SX1: term] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[889,apinj1,apinj2,apnotvar,axabs,axapp,axassoc,axclos,axidl,axidr,axmap,axscons,axshiftcons,axvarcons,axvarid,axvarshift,hoasap,hoasapinj1,hoasapinj1_gthm,hoasapinj1_lthm,hoasapinj2,hoasapinj2_gthm,hoasapinj2_lthm,hoasapnotvar,hoasapnotvar_gthm,hoasapnotvar_lthm,hoasinduction,hoasinduction_gthm,hoasinduction_lem0,hoasinduction_lem0_lthm,hoasinduction_lem1,hoasinduction_lem1_gthm,hoasinduction_lem1_lthm,hoasinduction_lem1v2,hoasinduction_lem1v2_gthm,hoasinduction_lem2,hoasinduction_lem2_gthm,hoasinduction_lem2_lthm,hoasinduction_lem2v2,hoasinduction_lem2v2_gthm,hoasinduction_lem3,hoasinduction_lem3_gthm,hoasinduction_lem3_lthm,hoasinduction_lem3a,hoasinduction_lem3a_gthm,hoasinduction_lem3a_lthm,hoasinduction_lem3aa,hoasinduction_lem3aa_lthm,hoasinduction_lem3aaa,hoasinduction_lem3b,hoasinduction_lem3b_gthm,hoasinduction_lem3b_lthm,hoasinduction_lem3v2,hoasinduction_lem3v2_f,hoasinduction_lem3v2_f_lthm,hoasinduction_lem3v2_gthm,hoasinduction_lem3v2_lthm,hoasinduction_lem3v2a,hoasinduction_lem3v2a_lthm,hoasinduction_lthm,hoasinduction_lthm_3,hoasinduction_no_psi_cond,hoasinduction_no_psi_cond_lthm,hoasinduction_p_and_p_prime,hoaslam,hoaslaminj,hoaslaminj_gthm,hoaslaminj_lthm,hoaslamnotap,hoaslamnotap_gthm,hoaslamnotap_lthm,hoaslamnotvar,hoaslamnotvar_gthm,hoaslamnotvar_lthm,hoasvar,induction,induction2,induction2_gthm,induction2_lthm,induction2lem,induction2lem_gthm,induction2lem_lthm,laminj,lamnotap,lamnotvar,pushprop,pushprop_gthm,pushprop_lem0,pushprop_lem0_gthm,pushprop_lem0_lthm,pushprop_lem1,pushprop_lem1_gthm,pushprop_lem1_lthm,pushprop_lem1v2,pushprop_lem1v2_gthm,pushprop_lem1v2_lthm,pushprop_lem2v2,pushprop_lem2v2_gthm,pushprop_lem2v2_lthm,pushprop_lem3v2,pushprop_lem3v2_lthm,pushprop_lthm,pushprop_lthm_orig,pushprop_p_and_p_prime,shinj,substmonoid,substmonoid_gthm,substmonoid_lthm,termmset,termmset_gthm,termmset_lthm,ulamvar1,ulamvarind,ulamvarsh]) ).
thf(921,plain,
! [SV197: term] :
( ( ~ ( var @ ( lam @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(922,plain,
! [SV198: term] :
( ( ! [SY187: term] :
~ ( var @ ( ap @ SV198 @ SY187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(923,plain,
! [SV199: term] :
( ( ! [SY188: term,SY189: term] :
( ( lam @ SV199 )
!= ( ap @ SY188 @ SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(924,plain,
! [SV200: term] :
( ( ! [SY190: term] :
( ( ( sub @ SV200 @ sh )
!= ( sub @ SY190 @ sh ) )
| ( SV200 = SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(925,plain,
! [SV201: term] :
( ( ! [SY191: term] :
( ( ( lam @ SV201 )
!= ( lam @ SY191 ) )
| ( SV201 = SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(926,plain,
! [SV202: term] :
( ( ! [SY192: term,SY193: term,SY194: term] :
( ( ( ap @ SV202 @ SY193 )
!= ( ap @ SY192 @ SY194 ) )
| ( SY193 = SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(927,plain,
! [SV203: term] :
( ( ! [SY195: term] :
( ! [SY196: term,SY197: term] :
( ( ap @ SV203 @ SY196 )
!= ( ap @ SY195 @ SY197 ) )
| ( SV203 = SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(928,plain,
! [SV204: term] :
( ( ~ ( var @ SV204 )
| ( var @ ( sub @ SV204 @ sh ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(929,plain,
! [SV205: subst] :
( ( ( push @ ( sub @ one @ SV205 ) @ ( comp @ sh @ SV205 ) )
= SV205 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(930,plain,
! [SV206: subst] :
( ( ( comp @ SV206 @ id )
= SV206 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(931,plain,
! [SV207: term] :
( ( ! [SY198: subst,SY199: subst] :
( ( comp @ ( push @ SV207 @ SY198 ) @ SY199 )
= ( push @ ( sub @ SV207 @ SY199 ) @ ( comp @ SY198 @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(932,plain,
! [SV208: subst] :
( ( ! [SY200: subst,SY201: subst] :
( ( comp @ ( comp @ SV208 @ SY200 ) @ SY201 )
= ( comp @ SV208 @ ( comp @ SY200 @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(933,plain,
! [SV209: term] :
( ( ! [SY202: subst] :
( ( comp @ sh @ ( push @ SV209 @ SY202 ) )
= SY202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(934,plain,
! [SV210: subst] :
( ( ( comp @ id @ SV210 )
= SV210 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(935,plain,
! [SV211: term] :
( ( ! [SY203: subst,SY204: subst] :
( ( sub @ ( sub @ SV211 @ SY203 ) @ SY204 )
= ( sub @ SV211 @ ( comp @ SY203 @ SY204 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(936,plain,
! [SV212: term] :
( ( ! [SY205: subst] :
( ( sub @ ( lam @ SV212 ) @ SY205 )
= ( lam @ ( sub @ SV212 @ ( push @ one @ ( comp @ SY205 @ sh ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(937,plain,
! [SV213: term] :
( ( ( sub @ SV213 @ id )
= SV213 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(938,plain,
! [SV214: term] :
( ( ! [SY206: subst] :
( ( sub @ one @ ( push @ SV214 @ SY206 ) )
= SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(939,plain,
! [SV215: term] :
( ( ! [SY207: term,SY208: subst] :
( ( sub @ ( ap @ SV215 @ SY207 ) @ SY208 )
= ( ap @ ( sub @ SV215 @ SY208 ) @ ( sub @ SY207 @ SY208 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(940,plain,
( ( ( comp @ sK5_M @ id )
= sK5_M )
= $false ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(941,plain,
! [SV216: term > $o] :
( ( ! [SY209: term,SY210: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY210 @ SY209 @ SV216 ) )
| ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SY210 @ SY209 @ SV216 ) @ SY210 ) ) )
| ~ ( SV216 @ SY209 )
| ! [SY211: term] :
( ~ ( var @ SY211 )
| ( SV216 @ ( sub @ SY211 @ ( push @ SY209 @ SY210 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(942,plain,
! [SV217: term > $o] :
( ( ~ ( ~ ( SV217 @ ( sK14_A @ SV217 ) )
| ~ ~ ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) ) )
| ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(943,plain,
! [SV218: term > $o] :
( ( ~ ( SV218 @ one )
| ~ ( ~ ( var @ ( sK6_A @ SV218 ) )
| ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
| ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(944,plain,
! [SV219: term > $o] :
( ( ~ ( ~ ( var @ ( sK10_A @ SV219 ) )
| ~ ~ ( SV219 @ ( sK10_A @ SV219 ) ) )
| ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(945,plain,
! [SV220: term > $o] :
( ( ~ ( ~ ( var @ ( sK19_A @ SV220 ) )
| ~ ~ ( SV220 @ ( sK19_A @ SV220 ) ) )
| ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(946,plain,
! [SV197: term] :
( ( var @ ( lam @ SV197 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(947,plain,
! [SV221: term,SV198: term] :
( ( ~ ( var @ ( ap @ SV198 @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(948,plain,
! [SV222: term,SV199: term] :
( ( ! [SY219: term] :
( ( lam @ SV199 )
!= ( ap @ SV222 @ SY219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(949,plain,
! [SV223: term,SV200: term] :
( ( ( ( sub @ SV200 @ sh )
!= ( sub @ SV223 @ sh ) )
| ( SV200 = SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(950,plain,
! [SV224: term,SV201: term] :
( ( ( ( lam @ SV201 )
!= ( lam @ SV224 ) )
| ( SV201 = SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(951,plain,
! [SV225: term,SV202: term] :
( ( ! [SY220: term,SY221: term] :
( ( ( ap @ SV202 @ SY220 )
!= ( ap @ SV225 @ SY221 ) )
| ( SY220 = SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(952,plain,
! [SV226: term,SV203: term] :
( ( ! [SY222: term,SY223: term] :
( ( ap @ SV203 @ SY222 )
!= ( ap @ SV226 @ SY223 ) )
| ( SV203 = SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(953,plain,
! [SV204: term] :
( ( ( ~ ( var @ SV204 ) )
= $true )
| ( ( var @ ( sub @ SV204 @ sh ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(954,plain,
! [SV227: subst,SV207: term] :
( ( ! [SY224: subst] :
( ( comp @ ( push @ SV207 @ SV227 ) @ SY224 )
= ( push @ ( sub @ SV207 @ SY224 ) @ ( comp @ SV227 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(955,plain,
! [SV228: subst,SV208: subst] :
( ( ! [SY225: subst] :
( ( comp @ ( comp @ SV208 @ SV228 ) @ SY225 )
= ( comp @ SV208 @ ( comp @ SV228 @ SY225 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(956,plain,
! [SV229: subst,SV209: term] :
( ( ( comp @ sh @ ( push @ SV209 @ SV229 ) )
= SV229 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(957,plain,
! [SV230: subst,SV211: term] :
( ( ! [SY226: subst] :
( ( sub @ ( sub @ SV211 @ SV230 ) @ SY226 )
= ( sub @ SV211 @ ( comp @ SV230 @ SY226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(958,plain,
! [SV231: subst,SV212: term] :
( ( ( sub @ ( lam @ SV212 ) @ SV231 )
= ( lam @ ( sub @ SV212 @ ( push @ one @ ( comp @ SV231 @ sh ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(959,plain,
! [SV232: subst,SV214: term] :
( ( ( sub @ one @ ( push @ SV214 @ SV232 ) )
= SV214 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(960,plain,
! [SV233: term,SV215: term] :
( ( ! [SY227: subst] :
( ( sub @ ( ap @ SV215 @ SV233 ) @ SY227 )
= ( ap @ ( sub @ SV215 @ SY227 ) @ ( sub @ SV233 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(961,plain,
! [SV216: term > $o,SV234: term] :
( ( ! [SY228: subst] :
( ~ ( ~ ( var @ ( sK11_B @ SY228 @ SV234 @ SV216 ) )
| ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SY228 @ SV234 @ SV216 ) @ SY228 ) ) )
| ~ ( SV216 @ SV234 )
| ! [SY229: term] :
( ~ ( var @ SY229 )
| ( SV216 @ ( sub @ SY229 @ ( push @ SV234 @ SY228 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(962,plain,
! [SV217: term > $o] :
( ( ( ~ ( ~ ( SV217 @ ( sK14_A @ SV217 ) )
| ~ ~ ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(963,plain,
! [SV218: term > $o] :
( ( ( ~ ( SV218 @ one ) )
= $true )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV218 ) )
| ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
| ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(964,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK10_A @ SV219 ) )
| ~ ~ ( SV219 @ ( sK10_A @ SV219 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(965,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK19_A @ SV220 ) )
| ~ ~ ( SV220 @ ( sK19_A @ SV220 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(966,plain,
! [SV221: term,SV198: term] :
( ( var @ ( ap @ SV198 @ SV221 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(967,plain,
! [SV235: term,SV222: term,SV199: term] :
( ( ( lam @ SV199 )
!= ( ap @ SV222 @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(968,plain,
! [SV223: term,SV200: term] :
( ( ( ( sub @ SV200 @ sh )
!= ( sub @ SV223 @ sh ) )
= $true )
| ( ( SV200 = SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(969,plain,
! [SV224: term,SV201: term] :
( ( ( ( lam @ SV201 )
!= ( lam @ SV224 ) )
= $true )
| ( ( SV201 = SV224 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(970,plain,
! [SV225: term,SV236: term,SV202: term] :
( ( ! [SY230: term] :
( ( ( ap @ SV202 @ SV236 )
!= ( ap @ SV225 @ SY230 ) )
| ( SV236 = SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(971,plain,
! [SV226: term,SV203: term] :
( ( ( ! [SY222: term,SY223: term] :
( ( ap @ SV203 @ SY222 )
!= ( ap @ SV226 @ SY223 ) ) )
= $true )
| ( ( SV203 = SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(972,plain,
! [SV204: term] :
( ( ( var @ SV204 )
= $false )
| ( ( var @ ( sub @ SV204 @ sh ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(973,plain,
! [SV237: subst,SV227: subst,SV207: term] :
( ( ( comp @ ( push @ SV207 @ SV227 ) @ SV237 )
= ( push @ ( sub @ SV207 @ SV237 ) @ ( comp @ SV227 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(974,plain,
! [SV238: subst,SV228: subst,SV208: subst] :
( ( ( comp @ ( comp @ SV208 @ SV228 ) @ SV238 )
= ( comp @ SV208 @ ( comp @ SV228 @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(975,plain,
! [SV239: subst,SV230: subst,SV211: term] :
( ( ( sub @ ( sub @ SV211 @ SV230 ) @ SV239 )
= ( sub @ SV211 @ ( comp @ SV230 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(976,plain,
! [SV240: subst,SV233: term,SV215: term] :
( ( ( sub @ ( ap @ SV215 @ SV233 ) @ SV240 )
= ( ap @ ( sub @ SV215 @ SV240 ) @ ( sub @ SV233 @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(977,plain,
! [SV216: term > $o,SV234: term,SV241: subst] :
( ( ~ ( ~ ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
| ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) ) )
| ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(978,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sK14_A @ SV217 ) )
| ~ ~ ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(979,plain,
! [SV218: term > $o] :
( ( ( SV218 @ one )
= $false )
| ( ( ~ ( ~ ( var @ ( sK6_A @ SV218 ) )
| ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
| ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(980,plain,
! [SV219: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV219 ) )
| ~ ~ ( SV219 @ ( sK10_A @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(981,plain,
! [SV220: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV220 ) )
| ~ ~ ( SV220 @ ( sK19_A @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(982,plain,
! [SV235: term,SV222: term,SV199: term] :
( ( ( lam @ SV199 )
= ( ap @ SV222 @ SV235 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(983,plain,
! [SV223: term,SV200: term] :
( ( ( ( sub @ SV200 @ sh )
= ( sub @ SV223 @ sh ) )
= $false )
| ( ( SV200 = SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(984,plain,
! [SV224: term,SV201: term] :
( ( ( ( lam @ SV201 )
= ( lam @ SV224 ) )
= $false )
| ( ( SV201 = SV224 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(985,plain,
! [SV242: term,SV225: term,SV236: term,SV202: term] :
( ( ( ( ap @ SV202 @ SV236 )
!= ( ap @ SV225 @ SV242 ) )
| ( SV236 = SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(986,plain,
! [SV226: term,SV243: term,SV203: term] :
( ( ( ! [SY232: term] :
( ( ap @ SV203 @ SV243 )
!= ( ap @ SV226 @ SY232 ) ) )
= $true )
| ( ( SV203 = SV226 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(987,plain,
! [SV216: term > $o,SV234: term,SV241: subst] :
( ( ( ~ ( ~ ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
| ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) ) ) )
= $true )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(988,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sK14_A @ SV217 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(989,plain,
! [SV217: term > $o] :
( ( ( ~ ~ ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(990,plain,
! [SV218: term > $o] :
( ( ( ~ ( ~ ( var @ ( sK6_A @ SV218 ) )
| ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) ) )
= $true )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(991,plain,
! [SV219: term > $o] :
( ( ( ~ ( var @ ( sK10_A @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(992,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( sK10_A @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(993,plain,
! [SV220: term > $o] :
( ( ( ~ ( var @ ( sK19_A @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(994,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( sK19_A @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(995,plain,
! [SV242: term,SV225: term,SV236: term,SV202: term] :
( ( ( ( ap @ SV202 @ SV236 )
!= ( ap @ SV225 @ SV242 ) )
= $true )
| ( ( SV236 = SV242 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(996,plain,
! [SV244: term,SV226: term,SV243: term,SV203: term] :
( ( ( ( ap @ SV203 @ SV243 )
!= ( ap @ SV226 @ SV244 ) )
= $true )
| ( ( SV203 = SV226 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(997,plain,
! [SV216: term > $o,SV234: term,SV241: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
| ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) ) )
= $false )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(998,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(999,plain,
! [SV217: term > $o] :
( ( ( ~ ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1000,plain,
! [SV218: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV218 ) )
| ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1001,plain,
! [SV219: term > $o] :
( ( ( var @ ( sK10_A @ SV219 ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1002,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK10_A @ SV219 ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1003,plain,
! [SV220: term > $o] :
( ( ( var @ ( sK19_A @ SV220 ) )
= $true )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1004,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK19_A @ SV220 ) ) )
= $true )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1005,plain,
! [SV242: term,SV225: term,SV236: term,SV202: term] :
( ( ( ( ap @ SV202 @ SV236 )
= ( ap @ SV225 @ SV242 ) )
= $false )
| ( ( SV236 = SV242 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1006,plain,
! [SV244: term,SV226: term,SV243: term,SV203: term] :
( ( ( ( ap @ SV203 @ SV243 )
= ( ap @ SV226 @ SV244 ) )
= $false )
| ( ( SV203 = SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1007,plain,
! [SV216: term > $o,SV234: term,SV241: subst] :
( ( ( ~ ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) ) )
= $false )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1008,plain,
! [SV234: term,SV241: subst,SV216: term > $o] :
( ( ( ~ ~ ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) ) )
= $false )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1009,plain,
! [SV217: term > $o] :
( ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1010,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) )
| ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1011,plain,
! [SV218: term > $o] :
( ( ( ~ ( var @ ( sK6_A @ SV218 ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1012,plain,
! [SV218: term > $o] :
( ( ( ~ ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1013,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1014,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
| ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1015,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1016,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false )
| ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
| ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1017,plain,
! [SV216: term > $o,SV234: term,SV241: subst] :
( ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1018,plain,
! [SV234: term,SV241: subst,SV216: term > $o] :
( ( ( ~ ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) ) )
= $true )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1019,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1020,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sK15_SY80 @ SV217 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1021,plain,
! [SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1022,plain,
! [SV218: term > $o] :
( ( ( var @ ( sK6_A @ SV218 ) )
= $true )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1023,plain,
! [SV218: term > $o] :
( ( ( ~ ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) ) )
= $true )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1024,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1025,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1026,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1027,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1028,plain,
! [SV241: subst,SV234: term,SV216: term > $o] :
( ( ( ~ ( SV216 @ SV234 ) )
= $true )
| ( ( ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1029,plain,
! [SV234: term,SV241: subst,SV216: term > $o] :
( ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false )
| ( ( ~ ( SV216 @ SV234 )
| ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1030,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1031,plain,
! [SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1032,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1033,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1034,plain,
! [SV218: term > $o,SV245: term] :
( ( ( ~ ( var @ SV245 )
| ( SV218 @ SV245 ) )
= $true )
| ( ( var @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1035,plain,
! [SV218: term > $o] :
( ( ( ~ ( SV218 @ ( sK6_A @ SV218 ) )
| ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1036,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK8_A @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1037,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1038,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK8_A @ SV219 ) )
| ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1039,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK17_A @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1040,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1026]) ).
thf(1041,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK17_A @ SV220 ) )
| ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1042,plain,
! [SV241: subst,SV234: term,SV216: term > $o] :
( ( ( SV216 @ SV234 )
= $false )
| ( ( ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true )
| ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1043,plain,
! [SV241: subst,SV234: term,SV216: term > $o] :
( ( ( ~ ( SV216 @ SV234 ) )
= $true )
| ( ( ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true )
| ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1044,plain,
! [SV217: term > $o] :
( ( ( ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1045,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1046,plain,
! [SV217: term > $o] :
( ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1047,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
| ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1048,plain,
! [SV218: term > $o,SV245: term] :
( ( ( ~ ( var @ SV245 ) )
= $true )
| ( ( SV218 @ SV245 )
= $true )
| ( ( var @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1049,plain,
! [SV218: term > $o] :
( ( ( ~ ( SV218 @ ( sK6_A @ SV218 ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1050,plain,
! [SV218: term > $o] :
( ( ( ~ ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1051,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1052,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1053,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK8_A @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1054,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1055,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1056,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1057,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK17_A @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1058,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1059,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV246: term] :
( ( ( ~ ( var @ SV246 )
| ( SV216 @ ( sub @ SV246 @ ( push @ SV234 @ SV241 ) ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1060,plain,
! [SV241: subst,SV234: term,SV216: term > $o] :
( ( ( SV216 @ SV234 )
= $false )
| ( ( ! [SY231: term] :
( ~ ( var @ SY231 )
| ( SV216 @ ( sub @ SY231 @ ( push @ SV234 @ SV241 ) ) ) ) )
= $true )
| ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1061,plain,
! [SV247: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV247 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1062,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1063,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1064,plain,
! [SV217: term > $o] :
( ( ( ~ ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1065,plain,
! [SV218: term > $o,SV245: term] :
( ( ( var @ SV245 )
= $false )
| ( ( SV218 @ SV245 )
= $true )
| ( ( var @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1066,plain,
! [SV218: term > $o] :
( ( ( SV218 @ ( sK6_A @ SV218 ) )
= $true )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1067,plain,
! [SV218: term > $o] :
( ( ( ~ ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) ) )
= $true )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1068,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1069,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1070,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1071,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1072,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1073,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1074,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1075,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1076,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV246: term] :
( ( ( ~ ( var @ SV246 ) )
= $true )
| ( ( SV216 @ ( sub @ SV246 @ ( push @ SV234 @ SV241 ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1077,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV248: term] :
( ( ( ~ ( var @ SV248 )
| ( SV216 @ ( sub @ SV248 @ ( push @ SV234 @ SV241 ) ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1078,plain,
! [SV247: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV247 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1079,plain,
! [SV217: term > $o,SV249: term] :
( ( ( ! [SY233: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY233 @ SV249 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY233 @ SV249 @ SV217 ) @ SY233 ) ) )
| ( SV217 @ ( sub @ SV249 @ SY233 ) ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1080,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1081,plain,
! [SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1082,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) )
| ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1083,plain,
! [SV218: term > $o,SV250: term] :
( ( ( ~ ( var @ SV250 )
| ( SV218 @ SV250 ) )
= $true )
| ( ( SV218 @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1084,plain,
! [SV218: term > $o] :
( ( ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) )
= $false )
| ( ( ! [SY215: term] :
( ~ ( var @ SY215 )
| ( SV218 @ SY215 ) ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1085,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1086,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1087,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1088,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1089,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) )
| ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1090,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1091,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1092,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1093,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1094,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) )
| ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1095,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV246: term] :
( ( ( var @ SV246 )
= $false )
| ( ( SV216 @ ( sub @ SV246 @ ( push @ SV234 @ SV241 ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( var @ ( sK11_B @ SV241 @ SV234 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1096,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV248: term] :
( ( ( ~ ( var @ SV248 ) )
= $true )
| ( ( SV216 @ ( sub @ SV248 @ ( push @ SV234 @ SV241 ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1097,plain,
! [SV247: term,SV217: term > $o] :
( ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1098,plain,
! [SV217: term > $o,SV249: term,SV251: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV251 @ SV249 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) ) )
| ( SV217 @ ( sub @ SV249 @ SV251 ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1099,plain,
! [SV217: term > $o] :
( ( ( ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1100,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1101,plain,
! [SV217: term > $o] :
( ( ( ~ ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1102,plain,
! [SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1103,plain,
! [SV218: term > $o,SV250: term] :
( ( ( ~ ( var @ SV250 ) )
= $true )
| ( ( SV218 @ SV250 )
= $true )
| ( ( SV218 @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1104,plain,
! [SV218: term > $o,SV252: term] :
( ( ( ~ ( var @ SV252 )
| ( SV218 @ SV252 ) )
= $true )
| ( ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) )
= $false )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1105,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1106,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1107,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1086]) ).
thf(1108,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1109,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1110,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1111,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1112,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1113,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1114,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1115,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1116,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1117,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1118,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1119,plain,
! [SV241: subst,SV234: term,SV216: term > $o,SV248: term] :
( ( ( var @ SV248 )
= $false )
| ( ( SV216 @ ( sub @ SV248 @ ( push @ SV234 @ SV241 ) ) )
= $true )
| ( ( SV216 @ SV234 )
= $false )
| ( ( SV216 @ ( sub @ ( sK11_B @ SV241 @ SV234 @ SV216 ) @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1120,plain,
! [SV247: term,SV217: term > $o,SV253: term] :
( ( ( ! [SY234: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY234 @ SV253 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY234 @ SV253 @ SV217 ) @ SY234 ) ) )
| ( SV217 @ ( sub @ SV253 @ SY234 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1121,plain,
! [SV217: term > $o,SV249: term,SV251: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV251 @ SV249 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1122,plain,
! [SV254: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV254 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1123,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1124,plain,
! [SV217: term > $o] :
( ( ( ! [SY212: term] :
( ~ ( SV217 @ SY212 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SY212 @ id ) ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1125,plain,
! [SV217: term > $o] :
( ( ( ~ ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1126,plain,
! [SV218: term > $o,SV250: term] :
( ( ( var @ SV250 )
= $false )
| ( ( SV218 @ SV250 )
= $true )
| ( ( SV218 @ ( sK6_A @ SV218 ) )
= $true )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1127,plain,
! [SV218: term > $o,SV252: term] :
( ( ( ~ ( var @ SV252 ) )
= $true )
| ( ( SV218 @ SV252 )
= $true )
| ( ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) )
= $false )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1128,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1129,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1130,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1131,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1132,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1133,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1134,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1135,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1136,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1137,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1138,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1139,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1140,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1141,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1142,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1143,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1144,plain,
! [SV247: term,SV217: term > $o,SV253: term,SV255: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV255 @ SV253 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) ) )
| ( SV217 @ ( sub @ SV253 @ SV255 ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1145,plain,
! [SV217: term > $o,SV249: term,SV251: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV251 @ SV249 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1146,plain,
! [SV254: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV254 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1147,plain,
! [SV217: term > $o,SV256: term] :
( ( ( ! [SY235: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY235 @ SV256 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY235 @ SV256 @ SV217 ) @ SY235 ) ) )
| ( SV217 @ ( sub @ SV256 @ SY235 ) ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1148,plain,
! [SV257: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV257 )
| ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1149,plain,
! [SV217: term > $o] :
( ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1150,plain,
! [SV218: term > $o,SV252: term] :
( ( ( var @ SV252 )
= $false )
| ( ( SV218 @ SV252 )
= $true )
| ( ( SV218 @ ( sub @ ( sK6_A @ SV218 ) @ sh ) )
= $false )
| ( ( SV218 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1151,plain,
! [SV258: term,SV219: term > $o] :
( ( ( SV219 @ SV258 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1152,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1153,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1154,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1155,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1156,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1157,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1158,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
| ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1159,plain,
! [SV259: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV259 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV259 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1160,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1161,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1162,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1163,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1164,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1165,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1166,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
| ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1167,plain,
! [SV247: term,SV217: term > $o,SV253: term,SV255: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV255 @ SV253 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1168,plain,
! [SV217: term > $o,SV249: term,SV251: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV251 @ SV249 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1169,plain,
! [SV249: term,SV251: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1170,plain,
! [SV254: term,SV217: term > $o] :
( ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1171,plain,
! [SV217: term > $o,SV256: term,SV260: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV260 @ SV256 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) ) )
| ( SV217 @ ( sub @ SV256 @ SV260 ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1172,plain,
! [SV257: term,SV217: term > $o] :
( ( ( ~ ( SV217 @ SV257 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1173,plain,
! [SV217: term > $o,SV261: term] :
( ( ( ! [SY236: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY236 @ SV261 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY236 @ SV261 @ SV217 ) @ SY236 ) ) )
| ( SV217 @ ( sub @ SV261 @ SY236 ) ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1174,plain,
! [SV262: term,SV219: term > $o] :
( ( ( SV219 @ SV262 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1175,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1176,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1177,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1178,plain,
! [SV263: term,SV219: term > $o] :
( ( ( SV219 @ SV263 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1179,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1180,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1181,plain,
! [SV219: term > $o] :
( ( ( ~ ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1182,plain,
! [SV259: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV259 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV259 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1183,plain,
! [SV264: term,SV220: term > $o] :
( ( ( SV220 @ SV264 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1184,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1185,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1161]) ).
thf(1186,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1187,plain,
! [SV265: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV265 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV265 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1188,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1189,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1190,plain,
! [SV220: term > $o] :
( ( ( ~ ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1191,plain,
! [SV247: term,SV217: term > $o,SV253: term,SV255: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV255 @ SV253 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1192,plain,
! [SV217: term > $o,SV249: term,SV251: subst] :
( ( ( var @ ( sK12_B @ SV251 @ SV249 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1193,plain,
! [SV249: term,SV251: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1194,plain,
! [SV254: term,SV217: term > $o,SV266: term] :
( ( ( ! [SY237: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY237 @ SV266 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY237 @ SV266 @ SV217 ) @ SY237 ) ) )
| ( SV217 @ ( sub @ SV266 @ SY237 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1195,plain,
! [SV217: term > $o,SV256: term,SV260: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV260 @ SV256 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1196,plain,
! [SV257: term,SV217: term > $o] :
( ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( ! [SY213: term,SY214: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY214 @ SY213 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY214 @ SY213 @ SV217 ) @ SY214 ) ) )
| ( SV217 @ ( sub @ SY213 @ SY214 ) ) ) )
= $true )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1197,plain,
! [SV217: term > $o,SV261: term,SV267: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV267 @ SV261 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) ) )
| ( SV217 @ ( sub @ SV261 @ SV267 ) ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1198,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1199,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1200,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1201,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1202,plain,
! [SV268: term,SV219: term > $o] :
( ( ( SV219 @ SV268 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK8_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1203,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1204,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1205,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) )
| ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1206,plain,
! [SV259: term,SV220: term > $o] :
( ( ( SV220 @ SV259 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV259 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1207,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1208,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1209,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1210,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1211,plain,
! [SV265: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV265 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV265 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1212,plain,
! [SV269: term,SV220: term > $o] :
( ( ( SV220 @ SV269 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1213,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1214,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1215,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) )
| ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1216,plain,
! [SV247: term,SV217: term > $o,SV253: term,SV255: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV255 @ SV253 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1191]) ).
thf(1217,plain,
! [SV247: term,SV253: term,SV255: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1191]) ).
thf(1218,plain,
! [SV249: term,SV251: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV251 @ SV249 @ SV217 ) @ SV251 ) )
= $false )
| ( ( SV217 @ ( sub @ SV249 @ SV251 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1219,plain,
! [SV254: term,SV217: term > $o,SV266: term,SV270: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV270 @ SV266 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) ) )
| ( SV217 @ ( sub @ SV266 @ SV270 ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1220,plain,
! [SV217: term > $o,SV256: term,SV260: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV260 @ SV256 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1221,plain,
! [SV257: term,SV217: term > $o,SV271: term] :
( ( ( ! [SY238: subst] :
( ~ ( ~ ( var @ ( sK12_B @ SY238 @ SV271 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SY238 @ SV271 @ SV217 ) @ SY238 ) ) )
| ( SV217 @ ( sub @ SV271 @ SY238 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1222,plain,
! [SV217: term > $o,SV261: term,SV267: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV267 @ SV261 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1223,plain,
! [SV272: term,SV219: term > $o] :
( ( ( SV219 @ SV272 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1224,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1225,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1226,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1227,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1228,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1229,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1230,plain,
! [SV219: term > $o] :
( ( ( ~ ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1231,plain,
! [SV259: term,SV273: term,SV220: term > $o] :
( ( ( SV220 @ SV273 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV259 @ id ) ) )
= $true )
| ( ( SV220 @ SV259 )
= $false )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1232,plain,
! [SV274: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV274 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV274 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1233,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1234,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1235,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1236,plain,
! [SV265: term,SV220: term > $o] :
( ( ( SV220 @ SV265 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV265 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1237,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1238,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1239,plain,
! [SV220: term > $o] :
( ( ( ~ ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1240,plain,
! [SV220: term > $o] :
( ( ( ~ ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1241,plain,
! [SV247: term,SV217: term > $o,SV253: term,SV255: subst] :
( ( ( var @ ( sK12_B @ SV255 @ SV253 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1242,plain,
! [SV247: term,SV253: term,SV255: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1243,plain,
! [SV254: term,SV217: term > $o,SV266: term,SV270: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV270 @ SV266 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1244,plain,
! [SV217: term > $o,SV256: term,SV260: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV260 @ SV256 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1245,plain,
! [SV256: term,SV260: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1246,plain,
! [SV257: term,SV217: term > $o,SV271: term,SV275: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV275 @ SV271 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) ) )
| ( SV217 @ ( sub @ SV271 @ SV275 ) ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1247,plain,
! [SV217: term > $o,SV261: term,SV267: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV267 @ SV261 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1248,plain,
! [SV276: term,SV219: term > $o] :
( ( ( SV219 @ SV276 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1249,plain,
! [SV277: term,SV219: term > $o] :
( ( ( SV219 @ SV277 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1250,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1251,plain,
! [SV278: term,SV219: term > $o] :
( ( ( SV219 @ SV278 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1252,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1253,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1254,plain,
! [SV219: term > $o] :
( ( ( ~ ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) ) )
= $true )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1255,plain,
! [SV274: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV274 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV274 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1256,plain,
! [SV279: term,SV220: term > $o] :
( ( ( SV220 @ SV279 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1257,plain,
! [SV280: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV280 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV280 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1258,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1259,plain,
! [SV265: term,SV281: term,SV220: term > $o] :
( ( ( SV220 @ SV281 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV265 @ id ) ) )
= $true )
| ( ( SV220 @ SV265 )
= $false )
| ( ( SV220 @ ( sK17_A @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1260,plain,
! [SV282: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV282 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV282 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1261,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1262,plain,
! [SV220: term > $o] :
( ( ( ! [SY217: term] :
( ~ ( SV220 @ SY217 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SY217 @ id ) ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1263,plain,
! [SV220: term > $o] :
( ( ( ~ ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1264,plain,
! [SV247: term,SV253: term,SV255: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV255 @ SV253 @ SV217 ) @ SV255 ) )
= $false )
| ( ( SV217 @ ( sub @ SV253 @ SV255 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV247 @ id ) ) )
= $true )
| ( ( SV217 @ SV247 )
= $false )
| ( ( SV217 @ ( sK14_A @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1265,plain,
! [SV254: term,SV217: term > $o,SV266: term,SV270: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV270 @ SV266 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1266,plain,
! [SV217: term > $o,SV256: term,SV260: subst] :
( ( ( var @ ( sK12_B @ SV260 @ SV256 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1267,plain,
! [SV256: term,SV260: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1268,plain,
! [SV257: term,SV217: term > $o,SV271: term,SV275: subst] :
( ( ( ~ ( ~ ( var @ ( sK12_B @ SV275 @ SV271 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1269,plain,
! [SV217: term > $o,SV261: term,SV267: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV267 @ SV261 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1270,plain,
! [SV261: term,SV267: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1247]) ).
thf(1271,plain,
! [SV283: term,SV219: term > $o] :
( ( ( SV219 @ SV283 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( var @ ( sK10_A @ SV219 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1272,plain,
! [SV284: term,SV219: term > $o] :
( ( ( SV219 @ SV284 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK9_SY78 @ SV219 ) )
= $true )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1273,plain,
! [SV285: term,SV219: term > $o] :
( ( ( SV219 @ SV285 )
= $true )
| ( ( SV219 @ ( sK7_A @ SV219 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1274,plain,
! [SV219: term > $o] :
( ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( ! [SY216: term] : ( SV219 @ SY216 ) )
= $true )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1275,plain,
! [SV274: term,SV220: term > $o] :
( ( ( SV220 @ SV274 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV274 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1276,plain,
! [SV280: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV280 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV280 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1277,plain,
! [SV286: term,SV220: term > $o] :
( ( ( SV220 @ SV286 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1278,plain,
! [SV282: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV282 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV282 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1279,plain,
! [SV287: term,SV220: term > $o] :
( ( ( SV220 @ SV287 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1280,plain,
! [SV288: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV288 )
| ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV288 @ id ) ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1281,plain,
! [SV220: term > $o] :
( ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1282,plain,
! [SV254: term,SV217: term > $o,SV266: term,SV270: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV270 @ SV266 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1283,plain,
! [SV254: term,SV266: term,SV270: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1284,plain,
! [SV256: term,SV260: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV260 @ SV256 @ SV217 ) @ SV260 ) )
= $false )
| ( ( SV217 @ ( sub @ SV256 @ SV260 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1285,plain,
! [SV257: term,SV217: term > $o,SV271: term,SV275: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV275 @ SV271 @ SV217 ) )
| ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1286,plain,
! [SV217: term > $o,SV261: term,SV267: subst] :
( ( ( var @ ( sK12_B @ SV267 @ SV261 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1287,plain,
! [SV261: term,SV267: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1288,plain,
! [SV289: term,SV219: term > $o] :
( ( ( SV219 @ SV289 )
= $true )
| ( ( SV219 @ ( lam @ ( sK7_A @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( ap @ ( sK8_A @ SV219 ) @ ( sK9_SY78 @ SV219 ) ) )
= $false )
| ( ( SV219 @ ( sK10_A @ SV219 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1289,plain,
! [SV274: term,SV290: term,SV220: term > $o] :
( ( ( SV220 @ SV290 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV274 @ id ) ) )
= $true )
| ( ( SV220 @ SV274 )
= $false )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1290,plain,
! [SV280: term,SV220: term > $o] :
( ( ( SV220 @ SV280 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV280 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1291,plain,
! [SV282: term,SV220: term > $o] :
( ( ( SV220 @ SV282 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV282 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1292,plain,
! [SV288: term,SV220: term > $o] :
( ( ( ~ ( SV220 @ SV288 ) )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV288 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1280]) ).
thf(1293,plain,
! [SV291: term,SV220: term > $o] :
( ( ( SV220 @ SV291 )
= $true )
| ( ( SV220 @ ( lam @ ( sK16_A @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1294,plain,
! [SV254: term,SV217: term > $o,SV266: term,SV270: subst] :
( ( ( var @ ( sK12_B @ SV270 @ SV266 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1295,plain,
! [SV254: term,SV266: term,SV270: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1296,plain,
! [SV257: term,SV217: term > $o,SV271: term,SV275: subst] :
( ( ( ~ ( var @ ( sK12_B @ SV275 @ SV271 @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1297,plain,
! [SV257: term,SV271: term,SV275: subst,SV217: term > $o] :
( ( ( ~ ~ ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) ) )
= $false )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1298,plain,
! [SV261: term,SV267: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV267 @ SV261 @ SV217 ) @ SV267 ) )
= $false )
| ( ( SV217 @ ( sub @ SV261 @ SV267 ) )
= $true )
| ( ( SV217 @ ( lam @ ( sK13_A @ SV217 ) ) )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1299,plain,
! [SV280: term,SV292: term,SV220: term > $o] :
( ( ( SV220 @ SV292 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV280 @ id ) ) )
= $true )
| ( ( SV220 @ SV280 )
= $false )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( var @ ( sK19_A @ SV220 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1300,plain,
! [SV282: term,SV293: term,SV220: term > $o] :
( ( ( SV220 @ SV293 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV282 @ id ) ) )
= $true )
| ( ( SV220 @ SV282 )
= $false )
| ( ( SV220 @ ( sK18_SY82 @ SV220 ) )
= $true )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1301,plain,
! [SV288: term,SV220: term > $o] :
( ( ( SV220 @ SV288 )
= $false )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV288 @ id ) ) )
= $true )
| ( ( ! [SY218: term] : ( SV220 @ SY218 ) )
= $true )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1302,plain,
! [SV254: term,SV266: term,SV270: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV270 @ SV266 @ SV217 ) @ SV270 ) )
= $false )
| ( ( SV217 @ ( sub @ SV266 @ SV270 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV254 @ id ) ) )
= $true )
| ( ( SV217 @ SV254 )
= $false )
| ( ( SV217 @ ( sK15_SY80 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1303,plain,
! [SV257: term,SV217: term > $o,SV271: term,SV275: subst] :
( ( ( var @ ( sK12_B @ SV275 @ SV271 @ SV217 ) )
= $true )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1304,plain,
! [SV257: term,SV271: term,SV275: subst,SV217: term > $o] :
( ( ( ~ ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) ) )
= $true )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1305,plain,
! [SV288: term,SV294: term,SV220: term > $o] :
( ( ( SV220 @ SV294 )
= $true )
| ( ( SV220 @ ( sub @ ( sK16_A @ SV220 ) @ ( push @ SV288 @ id ) ) )
= $true )
| ( ( SV220 @ SV288 )
= $false )
| ( ( SV220 @ ( ap @ ( sK17_A @ SV220 ) @ ( sK18_SY82 @ SV220 ) ) )
= $false )
| ( ( SV220 @ ( sK19_A @ SV220 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1306,plain,
! [SV257: term,SV271: term,SV275: subst,SV217: term > $o] :
( ( ( SV217 @ ( sub @ ( sK12_B @ SV275 @ SV271 @ SV217 ) @ SV275 ) )
= $false )
| ( ( SV217 @ ( sub @ SV271 @ SV275 ) )
= $true )
| ( ( SV217 @ ( sub @ ( sK13_A @ SV217 ) @ ( push @ SV257 @ id ) ) )
= $true )
| ( ( SV217 @ SV257 )
= $false )
| ( ( SV217 @ ( ap @ ( sK14_A @ SV217 ) @ ( sK15_SY80 @ SV217 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1307,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[902,1306,1305,1303,1302,1300,1299,1298,1294,1293,1289,1288,1286,1284,1279,1277,1273,1272,1271,1266,1264,1259,1256,1251,1249,1248,1241,1231,1223,1218,1212,1202,1192,1183,1178,1174,1151,1150,1126,1119,1095,1065,1006,1005,984,983,982,976,975,974,973,972,966,959,958,956,946,940,937,934,930,929,904]) ).
thf(1308,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1307,469,888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG254^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n013.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 18:09:06 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.66/1.16
% 5.66/1.16 No.of.Axioms: 0
% 5.66/1.16
% 5.66/1.16 Length.of.Defs: 38092
% 5.66/1.16
% 5.66/1.16 Contains.Choice.Funs: false
% 5.66/1.16 ...............................
% 5.66/1.16
% 5.66/1.16 ********************************
% 5.66/1.16 * All subproblems solved! *
% 5.66/1.16 ********************************
% 5.66/1.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1307,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.66/1.16
% 5.66/1.16 %**** Beginning of derivation protocol ****
% 5.66/1.16 % SZS output start CNFRefutation
% See solution above
% 5.66/1.17
% 5.66/1.17 %**** End of derivation protocol ****
% 5.66/1.17 %**** no. of clauses in derivation: 1308 ****
% 5.66/1.17 %**** clause counter: 1307 ****
% 5.66/1.17
% 5.66/1.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1307,loop_count:0,foatp_calls:1,translation:fof_full)
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