%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG269^3 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:45:18 AM UTC 2026
% Result : Theorem 28.68s 4.57s
% Output : Refutation 28.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 26
% Syntax : Number of formulae : 432 ( 122 unt; 0 typ; 14 def)
% Number of atoms : 4268 (1078 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 9522 ( 298 ~; 934 |; 0 &;7190 @)
% ( 16 <=>; 576 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 705 ( 705 >; 0 *; 0 +; 0 <<)
% Number of symbols : 172 ( 167 usr; 130 con; 0-4 aty)
% ( 501 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 1186 ( 13 sgn 575 !; 2 ?;1186 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_6,type,
subst: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
one: term ).
thf(func_def_1,type,
ap: term > term > term ).
thf(func_def_2,type,
lam: term > term ).
thf(func_def_3,type,
sub: term > subst > term ).
thf(func_def_4,type,
id: subst ).
thf(func_def_5,type,
sh: subst ).
thf(func_def_6,type,
push: term > subst > subst ).
thf(func_def_7,type,
comp: subst > subst > subst ).
thf(func_def_8,type,
var: term > $o ).
thf(func_def_9,type,
pushprop_lem1v2: $o ).
thf(func_def_10,type,
pushprop_lem1_gthm: $o ).
thf(func_def_11,type,
axmap: $o ).
thf(func_def_12,type,
pushprop_lem0_gthm: $o ).
thf(func_def_13,type,
shinj: $o ).
thf(func_def_14,type,
hoasinduction_lem1v2: $o ).
thf(func_def_15,type,
hoasinduction_lem1v2_gthm: $o ).
thf(func_def_16,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_17,type,
induction2lem: $o ).
thf(func_def_18,type,
hoasinduction_lem3v2_f: $o ).
thf(func_def_19,type,
axvarshift: $o ).
thf(func_def_20,type,
hoasapinj2: $o ).
thf(func_def_21,type,
hoasapnotvar_gthm: $o ).
thf(func_def_22,type,
hoasapinj1: $o ).
thf(func_def_23,type,
ulamvar1: $o ).
thf(func_def_24,type,
induction2lem_lthm: $o ).
thf(func_def_25,type,
hoasinduction_lem3v2_gthm: $o ).
thf(func_def_26,type,
apnotvar: $o ).
thf(func_def_27,type,
pushprop_lthm_orig: $o ).
thf(func_def_28,type,
hoasinduction_lem3v2_f_lthm: $o ).
thf(func_def_29,type,
hoasinduction_lthm: $o ).
thf(func_def_30,type,
hoasinduction_no_psi_cond_lthm: $o ).
thf(func_def_31,type,
hoaslaminj: $o ).
thf(func_def_32,type,
hoasinduction_lem3aaa: $o ).
thf(func_def_33,type,
induction2lem_gthm: $o ).
thf(func_def_34,type,
hoasinduction_lem3aa_lthm: $o ).
thf(func_def_35,type,
hoasinduction_lem3: $o ).
thf(func_def_36,type,
hoasinduction_lem2: $o ).
thf(func_def_37,type,
termmset_lthm: $o ).
thf(func_def_38,type,
hoasinduction_lem1: $o ).
thf(func_def_39,type,
hoaslamnotap_lthm: $o ).
thf(func_def_40,type,
pushprop_lem1v2_lthm: $o ).
thf(func_def_41,type,
hoasapnotvar: $o ).
thf(func_def_42,type,
hoasinduction_lem0: $o ).
thf(func_def_43,type,
hoasinduction: $o ).
thf(func_def_44,type,
hoasinduction_gthm: $o ).
thf(func_def_45,type,
axapp: $o ).
thf(func_def_46,type,
hoaslamnotvar_lthm: $o ).
thf(func_def_47,type,
pushprop_lem3v2_lthm: $o ).
thf(func_def_48,type,
hoasinduction_lem3b_lthm: $o ).
thf(func_def_49,type,
ulamvarind: $o ).
thf(func_def_50,type,
induction: $o ).
thf(func_def_51,type,
hoasinduction_lem3a_lthm: $o ).
thf(func_def_52,type,
termmset_gthm: $o ).
thf(func_def_53,type,
hoasinduction_lem3aa: $o ).
thf(func_def_54,type,
pushprop_lem1v2_gthm: $o ).
thf(func_def_55,type,
hoaslamnotap_gthm: $o ).
thf(func_def_56,type,
hoaslamnotvar_gthm: $o ).
thf(func_def_57,type,
hoasinduction_lem3b_gthm: $o ).
thf(func_def_58,type,
pushprop_lem2v2: $o ).
thf(func_def_59,type,
hoasinduction_lem3a_gthm: $o ).
thf(func_def_60,type,
axclos: $o ).
thf(func_def_61,type,
axassoc: $o ).
thf(func_def_62,type,
hoasinduction_lem2v2: $o ).
thf(func_def_63,type,
pushprop_lthm: $o ).
thf(func_def_64,type,
apinj2: $o ).
thf(func_def_65,type,
apinj1: $o ).
thf(func_def_66,type,
hoasapinj2_lthm: $o ).
thf(func_def_67,type,
hoasinduction_lem3v2a: $o ).
thf(func_def_68,type,
hoasapinj1_lthm: $o ).
thf(func_def_69,type,
hoaslaminj_lthm: $o ).
thf(func_def_70,type,
axvarcons: $o ).
thf(func_def_71,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_72,type,
axscons: $o ).
thf(func_def_73,type,
hoasinduction_lem2v2_gthm: $o ).
thf(func_def_74,type,
axidr: $o ).
thf(func_def_75,type,
pushprop_lem1: $o ).
thf(func_def_76,type,
laminj: $o ).
thf(func_def_77,type,
hoasinduction_lem3_lthm: $o ).
thf(func_def_78,type,
pushprop_lem0: $o ).
thf(func_def_79,type,
pushprop_gthm: $o ).
thf(func_def_80,type,
axabs: $o ).
thf(func_def_81,type,
hoasinduction_lem3v2a_lthm: $o ).
thf(func_def_82,type,
hoasinduction_lem2_lthm: $o ).
thf(func_def_83,type,
hoasapinj2_gthm: $o ).
thf(func_def_84,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_85,type,
hoasinduction_lem1_lthm: $o ).
thf(func_def_86,type,
lamnotap: $o ).
thf(func_def_87,type,
hoasapinj1_gthm: $o ).
thf(func_def_88,type,
hoaslamnotvar: $o ).
thf(func_def_89,type,
axidl: $o ).
thf(func_def_90,type,
hoaslaminj_gthm: $o ).
thf(func_def_91,type,
induction2_lthm: $o ).
thf(func_def_92,type,
hoasinduction_lem0_lthm: $o ).
thf(func_def_93,type,
substmonoid_lthm: $o ).
thf(func_def_94,type,
pushprop: $o ).
thf(func_def_95,type,
hoasinduction_lem3_gthm: $o ).
thf(func_def_96,type,
hoasinduction_lem2_gthm: $o ).
thf(func_def_97,type,
hoasinduction_lem3b: $o ).
thf(func_def_98,type,
substmonoid: $o ).
thf(func_def_99,type,
lamnotvar: $o ).
thf(func_def_100,type,
hoasinduction_lem3a: $o ).
thf(func_def_101,type,
hoasinduction_lem1_gthm: $o ).
thf(func_def_102,type,
hoasinduction_no_psi_cond: $o ).
thf(func_def_103,type,
induction2_gthm: $o ).
thf(func_def_104,type,
pushprop_lem2v2_lthm: $o ).
thf(func_def_105,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_106,type,
hoaslamnotap: $o ).
thf(func_def_107,type,
substmonoid_gthm: $o ).
thf(func_def_108,type,
ulamvarsh: $o ).
thf(func_def_109,type,
induction2: $o ).
thf(func_def_110,type,
pushprop_lem3v2: $o ).
thf(func_def_111,type,
pushprop_lem2v2_gthm: $o ).
thf(func_def_112,type,
pushprop_lem1_lthm: $o ).
thf(func_def_113,type,
hoasinduction_lem3v2: $o ).
thf(func_def_114,type,
axshiftcons: $o ).
thf(func_def_115,type,
termmset: $o ).
thf(func_def_116,type,
pushprop_lem0_lthm: $o ).
thf(func_def_117,type,
hoasapnotvar_lthm: $o ).
thf(func_def_118,type,
hoasinduction_lem3v2_lthm: $o ).
thf(func_def_119,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_120,type,
axvarid: $o ).
thf(func_def_121,type,
hoasinduction_lthm_3: $o ).
thf(func_def_123,type,
vIMP: $o > $o > $o ).
thf(func_def_124,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_125,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_129,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_131,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_132,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
vNOT: $o > $o ).
thf(func_def_134,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_135,type,
vAND: $o > $o > $o ).
thf(func_def_138,type,
vIFF: $o > $o > $o ).
thf(func_def_139,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_140,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_141,type,
sK0: ( subst > term > subst > $o ) > term > $o ).
thf(func_def_142,type,
sK1: ( term > $o ) > term ).
thf(func_def_143,type,
sK2: ( term > $o ) > term ).
thf(func_def_144,type,
sK3: ( term > $o ) > term ).
thf(func_def_145,type,
sK4: ( term > $o ) > term ).
thf(func_def_146,type,
sK5: ( term > $o ) > ( subst > term > subst > $o ) > term ).
thf(func_def_147,type,
sK6: ( subst > term > subst > $o ) > subst > term > term ).
thf(func_def_148,type,
sK7: term > ( term > $o ) > term ).
thf(func_def_149,type,
sK8: subst > term > subst > $o ).
thf(func_def_150,type,
sK9: term ).
thf(func_def_151,type,
sK10: ( subst > term > term ) > term ).
thf(func_def_152,type,
sK11: ( subst > term > term ) > subst ).
thf(func_def_153,type,
sK12: ( subst > term > term ) > subst ).
thf(func_def_154,type,
sK13: ( subst > term > term ) > term ).
thf(f3,axiom,
( axvarid
= ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f46,axiom,
! [X0: term > $o] :
( ( ! [X1: term] :
( ( var @ X1 )
=> ( X0 @ X1 ) )
=> ( ! [X1: term,X2: term] :
( ( X0 @ X1 )
=> ( ( X0 @ X2 )
=> ( X0 @ ( ap @ X1 @ X2 ) ) ) )
=> ( ! [X1: term] :
( ! [X2: term] :
( ( X0 @ X2 )
=> ( X0 @ ( sub @ X1 @ ( push @ X2 @ id ) ) ) )
=> ( X0 @ ( lam @ X1 ) ) )
=> ! [X1: term] : ( X0 @ X1 ) ) ) )
= induction2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',induction2) ).
thf(f55,axiom,
( ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) )
= hoasap ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasap) ).
thf(f56,axiom,
( hoaslam
= ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoaslam) ).
thf(f57,axiom,
( hoasvar
= ( ^ [X0: subst,X1: term,X2: subst] : ( var @ ( sub @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasvar) ).
thf(f76,axiom,
( hoasinduction_p_and_p_prime
= ( ^ [X0: subst > term > subst > $o,X1: term > $o] :
! [X2: term] :
( ( X1 @ X2 )
<=> ( X0 @ id @ X2 @ id ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_p_and_p_prime) ).
thf(f77,axiom,
( hoasinduction_lem0
= ( ! [X0: subst > term > subst > $o] :
? [X1: term > $o] : ( hoasinduction_p_and_p_prime @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem0) ).
thf(f78,axiom,
hoasinduction_lem0_lthm = hoasinduction_lem0,
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem0_lthm) ).
thf(f88,axiom,
! [X0: subst > term > subst > $o,X1: term > $o] :
( ( ! [X2: subst > term > term] :
( ! [X4: term,X5: subst,X3: subst] :
( ( sub @ ( X2 @ X3 @ X4 ) @ X5 )
= ( X2 @ ( comp @ X3 @ X5 ) @ ( sub @ X4 @ X5 ) ) )
=> ( ! [X4: term] :
( ( X0 @ id @ X4 @ id )
=> ( X0 @ id @ ( X2 @ id @ X4 ) @ id ) )
=> ( X0 @ id
@ ( hoaslam @ id
@ ^ [X3: subst,X4: term] : ( X2 @ X3 @ X4 ) )
@ id ) ) )
=> ( ( hoasinduction_p_and_p_prime @ X0 @ X1 )
=> ! [X4: term] :
( ! [X6: term] :
( ( X1 @ X6 )
=> ( X1 @ ( sub @ X4 @ ( push @ X6 @ id ) ) ) )
=> ( X1 @ ( lam @ X4 ) ) ) ) )
= hoasinduction_lem3v2a ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3v2a) ).
thf(f108,axiom,
( hoasinduction
= ( ! [X0: subst > term > subst > $o] :
( ! [X3: subst,X2: term,X1: subst,X4: subst] :
( ( X0 @ X1 @ X2 @ ( comp @ X4 @ X3 ) )
=> ( X0 @ ( comp @ X1 @ X4 ) @ ( sub @ X2 @ X4 ) @ X3 ) )
=> ( ! [X2: term,X3: subst,X4: subst,X1: subst] :
( ( X0 @ ( comp @ X1 @ X4 ) @ ( sub @ X2 @ X4 ) @ X3 )
=> ( X0 @ X1 @ X2 @ ( comp @ X4 @ X3 ) ) )
=> ( ! [X2: term] :
( ( hoasvar @ id @ X2 @ id )
=> ( X0 @ id @ X2 @ id ) )
=> ( ! [X5: term,X2: term] :
( ( X0 @ id @ X2 @ id )
=> ( ( X0 @ id @ X5 @ id )
=> ( X0 @ id @ ( hoasap @ id @ X2 @ id @ X5 ) @ id ) ) )
=> ( ! [X6: subst > term > term] :
( ! [X3: subst,X1: subst,X2: term] :
( ( sub @ ( X6 @ X1 @ X2 ) @ X3 )
= ( X6 @ ( comp @ X1 @ X3 ) @ ( sub @ X2 @ X3 ) ) )
=> ( ! [X2: term] :
( ( X0 @ id @ X2 @ id )
=> ( X0 @ id @ ( X6 @ id @ X2 ) @ id ) )
=> ( X0 @ id
@ ( hoaslam @ id
@ ^ [X1: subst,X2: term] : ( X6 @ X1 @ X2 ) )
@ id ) ) )
=> ! [X2: term] : ( X0 @ id @ X2 @ id ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction) ).
thf(f111,axiom,
( ( hoasinduction_lthm_3 = hoasinduction_lem0 )
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',hoasinduction_lthm_3) ).
thf(f114,conjecture,
hoasinduction_lthm_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasinduction_lthm_3,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f191,plain,
hoasinduction_lem0 = hoasinduction_lem0_lthm,
inference(fool_elimination,[],[f78]) ).
thf(f194,plain,
~ hoasinduction_lthm_3,
inference(rectify,[],[f115]) ).
thf(f195,plain,
( $true = ( ~ hoasinduction_lthm_3 ) ),
inference(fool_elimination,[],[f194]) ).
thf(f204,plain,
( hoasinduction_lem0
= ( ! [X0: subst > term > subst > $o] :
? [X1: term > $o] : ( hoasinduction_p_and_p_prime @ X0 @ X1 ) ) ),
inference(rectify,[],[f77]) ).
thf(f205,plain,
( hoasinduction_lem0
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] : ( hoasinduction_p_and_p_prime @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f204]) ).
thf(f208,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f209,plain,
! [X0: subst > term > subst > $o,X1: term > $o] :
( ( ! [X2: subst > term > term] :
( ! [X3: term,X4: subst,X5: subst] :
( ( sub @ ( X2 @ X5 @ X3 ) @ X4 )
= ( X2 @ ( comp @ X5 @ X4 ) @ ( sub @ X3 @ X4 ) ) )
=> ( ! [X6: term] :
( ( X0 @ id @ X6 @ id )
=> ( X0 @ id @ ( X2 @ id @ X6 ) @ id ) )
=> ( X0 @ id
@ ( hoaslam @ id
@ ^ [X7: subst,X8: term] : ( X2 @ X7 @ X8 ) )
@ id ) ) )
=> ( ( hoasinduction_p_and_p_prime @ X0 @ X1 )
=> ! [X9: term] :
( ! [X10: term] :
( ( X1 @ X10 )
=> ( X1 @ ( sub @ X9 @ ( push @ X10 @ id ) ) ) )
=> ( X1 @ ( lam @ X9 ) ) ) ) )
= hoasinduction_lem3v2a ),
inference(rectify,[],[f88]) ).
thf(f210,plain,
( hoasinduction_lem3v2a
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id
@ ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y2 @ Y3 @ Y4 ) )
@ id ) ) ) )
=> ( ( hoasinduction_p_and_p_prime @ Y1 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f209]) ).
thf(f211,plain,
( hoasvar
= ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f228,plain,
( hoasinduction
= ( ! [X0: subst > term > subst > $o] :
( ! [X1: subst,X2: term,X3: subst,X4: subst] :
( ( X0 @ X3 @ X2 @ ( comp @ X4 @ X1 ) )
=> ( X0 @ ( comp @ X3 @ X4 ) @ ( sub @ X2 @ X4 ) @ X1 ) )
=> ( ! [X5: term,X6: subst,X7: subst,X8: subst] :
( ( X0 @ ( comp @ X8 @ X7 ) @ ( sub @ X5 @ X7 ) @ X6 )
=> ( X0 @ X8 @ X5 @ ( comp @ X7 @ X6 ) ) )
=> ( ! [X9: term] :
( ( hoasvar @ id @ X9 @ id )
=> ( X0 @ id @ X9 @ id ) )
=> ( ! [X10: term,X11: term] :
( ( X0 @ id @ X11 @ id )
=> ( ( X0 @ id @ X10 @ id )
=> ( X0 @ id @ ( hoasap @ id @ X11 @ id @ X10 ) @ id ) ) )
=> ( ! [X12: subst > term > term] :
( ! [X13: subst,X14: subst,X15: term] :
( ( sub @ ( X12 @ X14 @ X15 ) @ X13 )
= ( X12 @ ( comp @ X14 @ X13 ) @ ( sub @ X15 @ X13 ) ) )
=> ( ! [X16: term] :
( ( X0 @ id @ X16 @ id )
=> ( X0 @ id @ ( X12 @ id @ X16 ) @ id ) )
=> ( X0 @ id
@ ( hoaslam @ id
@ ^ [X17: subst,X18: term] : ( X12 @ X17 @ X18 ) )
@ id ) ) )
=> ! [X19: term] : ( X0 @ id @ X19 @ id ) ) ) ) ) ) ) ),
inference(rectify,[],[f108]) ).
thf(f229,plain,
( hoasinduction
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( hoasvar @ id @ Y1 @ id )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( hoasap @ id @ Y1 @ id @ Y2 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f228]) ).
thf(f261,plain,
! [X0: term > $o] :
( ( ! [X1: term] :
( ( var @ X1 )
=> ( X0 @ X1 ) )
=> ( ! [X2: term,X3: term] :
( ( X0 @ X2 )
=> ( ( X0 @ X3 )
=> ( X0 @ ( ap @ X2 @ X3 ) ) ) )
=> ( ! [X4: term] :
( ! [X5: term] :
( ( X0 @ X5 )
=> ( X0 @ ( sub @ X4 @ ( push @ X5 @ id ) ) ) )
=> ( X0 @ ( lam @ X4 ) ) )
=> ! [X6: term] : ( X0 @ X6 ) ) ) )
= induction2 ),
inference(rectify,[],[f46]) ).
thf(f262,plain,
( induction2
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( ap @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f261]) ).
thf(f266,plain,
( hoasinduction_p_and_p_prime
= ( ^ [X0: subst > term > subst > $o,X1: term > $o] :
! [X2: term] :
( ( X1 @ X2 )
<=> ( X0 @ id @ X2 @ id ) ) ) ),
inference(rectify,[],[f76]) ).
thf(f267,plain,
( hoasinduction_p_and_p_prime
= ( ^ [Y0: subst > term > subst > $o,Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
= ( Y0 @ id @ Y2 @ id ) ) ) ) ),
inference(fool_elimination,[],[f266]) ).
thf(f279,plain,
( ( hoasinduction_lthm_3 = hoasinduction_lem0 )
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ),
inference(rectify,[],[f111]) ).
thf(f280,plain,
( hoasinduction_lthm_3
= ( hoasinduction_lem0
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ) ),
inference(fool_elimination,[],[f279]) ).
thf(f291,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f312,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f327,plain,
( hoasvar
= ( ^ [Y0: subst,Y1: term,Y2: subst] : ( var @ ( sub @ Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f211]) ).
thf(f338,plain,
( induction2
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( ap @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f262]) ).
thf(f347,plain,
hoasinduction_lem0 = hoasinduction_lem0_lthm,
inference(cnf_transformation,[],[f191]) ).
thf(f353,plain,
( hoasinduction_p_and_p_prime
= ( ^ [Y0: subst > term > subst > $o,Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
= ( Y0 @ id @ Y2 @ id ) ) ) ) ),
inference(cnf_transformation,[],[f267]) ).
thf(f357,plain,
( $true = ( ~ hoasinduction_lthm_3 ) ),
inference(cnf_transformation,[],[f195]) ).
thf(f360,plain,
( hoasinduction_lem3v2a
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id
@ ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y2 @ Y3 @ Y4 ) )
@ id ) ) ) )
=> ( ( hoasinduction_p_and_p_prime @ Y1 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f210]) ).
thf(f364,plain,
( hoasinduction_lem0
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] : ( hoasinduction_p_and_p_prime @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f205]) ).
thf(f371,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f291]) ).
thf(f373,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf_transformation,[],[f312]) ).
thf(f388,plain,
( hoasinduction_lthm_3
= ( hoasinduction_lem0
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ) ),
inference(cnf_transformation,[],[f280]) ).
thf(f395,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f208]) ).
thf(f437,plain,
( hoasinduction
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( hoasvar @ id @ Y1 @ id )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( hoasap @ id @ Y1 @ id @ Y2 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( hoaslam @ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f229]) ).
thf(f449,plain,
( hoasinduction_lem3v2a
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id
@ ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y2 @ Y3 @ Y4 ) )
@ id ) ) ) )
=> ( ( ^ [Y2: subst > term > subst > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ id @ Y4 @ id ) ) )
@ Y1
@ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f360,f373,f353]) ).
thf(f451,plain,
( hoasinduction_lem0_lthm
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] :
( ^ [Y2: subst > term > subst > $o,Y3: term > $o] :
( !! @ term
@ ^ [Y4: term] :
( ( Y3 @ Y4 )
= ( Y2 @ id @ Y4 @ id ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f364,f347,f353]) ).
thf(f458,plain,
( hoasinduction_lthm_3
= ( hoasinduction_lem0_lthm
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) ) ),
inference(definition_unfolding,[],[f388,f347]) ).
thf(f471,plain,
( hoasinduction
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( ^ [Y2: subst,Y3: term,Y4: subst] : ( var @ ( sub @ Y3 @ Y4 ) )
@ id
@ Y1
@ id )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id
@ ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y1
@ id
@ Y2 )
@ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id
@ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
@ id
@ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
@ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f437,f327,f371,f373]) ).
thf(f473,plain,
( induction2
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( ap @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !! @ term @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f338]) ).
thf(f474,plain,
( hoasinduction_lem3v2a
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id @ ( lam @ ( Y2 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
= ( Y1 @ id @ Y2 @ id ) ) )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f449]) ).
thf(f482,plain,
( hoasinduction
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ ( sub @ Y1 @ id ) )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( ap @ ( sub @ Y1 @ id ) @ Y2 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f471]) ).
thf(f497,plain,
( hoasinduction_lem0_lthm
= ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
= ( Y0 @ id @ Y2 @ id ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f451]) ).
thf(f498,plain,
hoasinduction_lthm_3 = $false,
inference(not_proxy_clausification,[],[f357]) ).
thf(f501,plain,
( ( hoasinduction_lem0_lthm
=> ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) ) )
= $false ),
inference(forward_demodulation,[],[f458,f498]) ).
thf(f502,plain,
( ( induction2
=> ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f501]) ).
thf(f503,plain,
hoasinduction_lem0_lthm = $true,
inference(imp_proxy_clausification,[],[f501]) ).
thf(f504,plain,
( ( axvarid
=> ( hoasinduction_lem3v2a
=> hoasinduction ) )
= $false ),
inference(imp_proxy_clausification,[],[f502]) ).
thf(f505,plain,
induction2 = $true,
inference(imp_proxy_clausification,[],[f502]) ).
thf(f506,plain,
( ( hoasinduction_lem3v2a
=> hoasinduction )
= $false ),
inference(imp_proxy_clausification,[],[f504]) ).
thf(f507,plain,
axvarid = $true,
inference(imp_proxy_clausification,[],[f504]) ).
thf(f508,plain,
hoasinduction = $false,
inference(imp_proxy_clausification,[],[f506]) ).
thf(f509,plain,
hoasinduction_lem3v2a = $true,
inference(imp_proxy_clausification,[],[f506]) ).
thf(f510,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true ),
inference(forward_demodulation,[],[f395,f507]) ).
thf(f511,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f510]) ).
thf(f512,plain,
! [X1: term] :
( ( ( sub @ X1 @ id )
= X1 )
= $true ),
inference(beta-eta_normalization,[],[f511]) ).
thf(f513,plain,
! [X1: term] :
( ( sub @ X1 @ id )
= X1 ),
inference(equality_proxy_clausification,[],[f512]) ).
thf(f524,plain,
( ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
= ( Y0 @ id @ Y2 @ id ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f497,f503]) ).
thf(f525,plain,
! [X1: subst > term > subst > $o] :
( ( ^ [Y0: subst > term > subst > $o] :
( ?? @ ( term > $o )
@ ^ [Y1: term > $o] :
( !! @ term
@ ^ [Y2: term] :
( ( Y1 @ Y2 )
= ( Y0 @ id @ Y2 @ id ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f524]) ).
thf(f526,plain,
! [X1: subst > term > subst > $o] :
( $true
= ( ?? @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
= ( X1 @ id @ Y1 @ id ) ) ) ) ),
inference(beta-eta_normalization,[],[f525]) ).
thf(f527,plain,
! [X1: subst > term > subst > $o] :
( $true
= ( ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( ( Y0 @ Y1 )
= ( X1 @ id @ Y1 @ id ) ) )
@ ( sK0 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f526]) ).
thf(f528,plain,
! [X1: subst > term > subst > $o] :
( ( !! @ term
@ ^ [Y0: term] :
( ( sK0 @ X1 @ Y0 )
= ( X1 @ id @ Y0 @ id ) ) )
= $true ),
inference(beta-eta_normalization,[],[f527]) ).
thf(f529,plain,
! [X2: term,X1: subst > term > subst > $o] :
( ( ^ [Y0: term] :
( ( sK0 @ X1 @ Y0 )
= ( X1 @ id @ Y0 @ id ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f528]) ).
thf(f530,plain,
! [X2: term,X1: subst > term > subst > $o] :
( ( ( sK0 @ X1 @ X2 )
= ( X1 @ id @ X2 @ id ) )
= $true ),
inference(beta-eta_normalization,[],[f529]) ).
thf(f531,plain,
! [X2: term,X1: subst > term > subst > $o] :
( ( sK0 @ X1 @ X2 )
= ( X1 @ id @ X2 @ id ) ),
inference(iff_proxy_clausification,[],[f530]) ).
thf(f534,plain,
( $true
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( ap @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !! @ term @ Y0 ) ) ) ) ) ),
inference(forward_demodulation,[],[f473,f505]) ).
thf(f535,plain,
! [X1: term > $o] :
( ( ^ [Y0: term > $o] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( ap @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !! @ term @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f534]) ).
thf(f536,plain,
! [X1: term > $o] :
( $true
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) )
=> ( !! @ term @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f535]) ).
thf(f537,plain,
! [X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) )
=> ( !! @ term @ X1 ) ) )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f536]) ).
thf(f538,plain,
! [X1: term > $o] :
( ( $true
= ( ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) )
=> ( !! @ term @ X1 ) ) )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f537]) ).
thf(f539,plain,
! [X1: term > $o] :
( ( $true
= ( !! @ term @ X1 ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f538]) ).
thf(f540,plain,
! [X2: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f539]) ).
thf(f541,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f540]) ).
thf(f542,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) ) ) )
| ( ( ( var @ ( sK1 @ X1 ) )
=> ( X1 @ ( sK1 @ X1 ) ) )
= $false )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f541]) ).
thf(f543,plain,
! [X2: term,X1: term > $o] :
( ( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( ap @ Y1 @ Y0 ) ) ) ) )
@ ( sK2 @ X1 ) )
= $false )
| ( ( ( var @ ( sK1 @ X1 ) )
=> ( X1 @ ( sK1 @ X1 ) ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f542]) ).
thf(f544,plain,
! [X2: term,X1: term > $o] :
( ( ( ( var @ ( sK1 @ X1 ) )
=> ( X1 @ ( sK1 @ X1 ) ) )
= $false )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f543]) ).
thf(f545,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f544]) ).
thf(f546,plain,
! [X2: term,X1: term > $o] :
( ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f544]) ).
thf(f547,plain,
! [X2: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( $false
= ( ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) )
@ ( sK3 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f545]) ).
thf(f548,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f547]) ).
thf(f549,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) )
@ ( sK4 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f546]) ).
thf(f550,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f549]) ).
thf(f551,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f548]) ).
thf(f552,plain,
! [X2: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) ) )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f548]) ).
thf(f553,plain,
! [X2: term,X1: term > $o] :
( ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) )
@ ( sK3 @ X1 ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f550]) ).
thf(f554,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f553]) ).
thf(f555,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) )
@ X3 )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f552]) ).
thf(f556,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f555]) ).
thf(f557,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) )
@ ( sK4 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f551]) ).
thf(f558,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f557]) ).
thf(f559,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f554]) ).
thf(f560,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f554]) ).
thf(f561,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) ) )
= $false )
| ( ( X1 @ X3 )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f556]) ).
thf(f562,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f558]) ).
thf(f563,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK4 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f558]) ).
thf(f564,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
= $false )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f559]) ).
thf(f565,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( X1 @ ( sK4 @ X1 ) )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f559]) ).
thf(f566,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ Y0 @ id ) ) ) )
@ X3 )
= $true )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f560]) ).
thf(f567,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f566]) ).
thf(f568,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ Y0 @ ( sK2 @ X1 ) ) ) ) )
@ ( sK4 @ X1 ) )
= $false )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X3 )
= $false )
| ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ X2 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f561]) ).
thf(f569,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ X3 )
= $false )
| ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( ( X1 @ ( sK4 @ X1 ) )
=> ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f568]) ).
thf(f570,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f562]) ).
thf(f571,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK2 @ X1 ) )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f562]) ).
thf(f572,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f564]) ).
thf(f573,plain,
! [X2: term,X1: term > $o] :
( ( $false
= ( X1 @ ( lam @ ( sK3 @ X1 ) ) ) )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( X1 @ ( sK2 @ X1 ) )
= $true )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f564]) ).
thf(f574,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
= $false )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f567]) ).
thf(f575,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) )
| ( ( X1 @ ( sK4 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f567]) ).
thf(f576,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ X3 )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( ( X1 @ ( sK2 @ X1 ) )
=> ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f569]) ).
thf(f577,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ ( sK4 @ X1 ) )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f569]) ).
thf(f578,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ ( sK4 @ X1 ) )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( ( X1 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f575]) ).
thf(f579,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) )
| ( $false
= ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f574]) ).
thf(f580,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK2 @ X1 ) )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) )
| ( $true
= ( ( X1 @ X3 )
=> ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f574]) ).
thf(f581,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ X3 )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( $false
= ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f576]) ).
thf(f582,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ X3 )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ ( sK2 @ X1 ) )
= $true )
| ( ( X1 @ ( sK1 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f576]) ).
thf(f583,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ ( sK2 @ X1 ) )
= $true )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ X3 )
= $false )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f580]) ).
thf(f584,plain,
! [X2: term,X3: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK3 @ X1 ) @ ( push @ X3 @ id ) ) )
= $true )
| ( ( X1 @ X3 )
= $false )
| ( $false
= ( X1 @ ( ap @ ( sK4 @ X1 ) @ ( sK2 @ X1 ) ) ) )
| ( ( X1 @ X2 )
= $true )
| ( $true
= ( var @ ( sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f579]) ).
thf(f588,plain,
( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id @ ( lam @ ( Y2 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
= ( Y1 @ id @ Y2 @ id ) ) )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f474,f509]) ).
thf(f589,plain,
! [X1: term > $o] :
( ( ^ [Y0: term > $o] :
( !! @ ( subst > term > subst > $o )
@ ^ [Y1: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y2: subst > term > term] :
( ( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( !! @ term
@ ^ [Y5: term] :
( ( sub @ ( Y2 @ Y3 @ Y5 ) @ Y4 )
= ( Y2 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y5 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y3: term] :
( ( Y1 @ id @ Y3 @ id )
=> ( Y1 @ id @ ( Y2 @ id @ Y3 ) @ id ) ) )
=> ( Y1 @ id @ ( lam @ ( Y2 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
= ( Y1 @ id @ Y2 @ id ) ) )
=> ( !! @ term
@ ^ [Y2: term] :
( ( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ Y3 )
=> ( Y0 @ ( sub @ Y2 @ ( push @ Y3 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f588]) ).
thf(f590,plain,
! [X1: term > $o] :
( ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( sub @ ( Y1 @ Y2 @ Y4 ) @ Y3 )
= ( Y1 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y4 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
= ( Y0 @ id @ Y1 @ id ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( X1 @ Y2 )
=> ( X1 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y1 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f589]) ).
thf(f591,plain,
! [X2: subst > term > subst > $o,X1: term > $o] :
( ( ^ [Y0: subst > term > subst > $o] :
( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( sub @ ( Y1 @ Y2 @ Y4 ) @ Y3 )
= ( Y1 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y4 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
= ( Y0 @ id @ Y1 @ id ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( !! @ term
@ ^ [Y2: term] :
( ( X1 @ Y2 )
=> ( X1 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y1 ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f590]) ).
thf(f592,plain,
! [X2: subst > term > subst > $o,X1: term > $o] :
( ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f591]) ).
thf(f593,plain,
! [X2: subst > term > subst > $o,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
= $true )
| ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f592]) ).
thf(f594,plain,
! [X2: subst > term > subst > $o,X1: term > $o] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) ) )
= $false )
| ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f593]) ).
thf(f595,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) ) )
= $false )
| ( $true
= ( ^ [Y0: term] :
( ( !! @ term
@ ^ [Y1: term] :
( ( X1 @ Y1 )
=> ( X1 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X1 @ ( lam @ Y0 ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f594]) ).
thf(f596,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) ) )
= $false )
| ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f595]) ).
thf(f597,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
= ( X2 @ id @ Y0 @ id ) )
@ ( sK5 @ X1 @ X2 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f596]) ).
thf(f598,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( ( X1 @ ( sK5 @ X1 @ X2 ) )
= ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id ) )
= $false )
| ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f597]) ).
thf(f599,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( $false
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f598]) ).
thf(f600,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sub @ ( Y0 @ Y1 @ Y3 ) @ Y2 )
= ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y3 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( X2 @ id @ Y1 @ id )
=> ( X2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
@ ( sK6 @ X2 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f599]) ).
thf(f601,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) ) )
=> ( X2 @ id @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) @ id ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f600]) ).
thf(f602,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true ) ),
inference(forward_demodulation,[],[f601,f531]) ).
thf(f603,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f602]) ).
thf(f604,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f602]) ).
thf(f605,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f604]) ).
thf(f606,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f603]) ).
thf(f607,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
=> ( X1 @ ( lam @ X3 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) ) ) ) ),
inference(imp_proxy_clausification,[],[f603]) ).
thf(f608,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) )
@ ( sK7 @ X3 @ X1 ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f605]) ).
thf(f609,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) ) )
= $true )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( ( X1 @ ( sK7 @ X3 @ X1 ) )
=> ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f608]) ).
thf(f610,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f607]) ).
thf(f611,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f606]) ).
thf(f612,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( ( X1 @ ( sK7 @ X3 @ X1 ) )
=> ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) ) )
= $false )
| ( $true
= ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sK6 @ X2 @ Y0 @ Y2 ) @ Y1 )
= ( sK6 @ X2 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y2 @ Y1 ) ) ) ) )
@ X4 ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f609]) ).
thf(f613,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst] :
( ( ( ( X1 @ ( sK7 @ X3 @ X1 ) )
=> ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y1 ) @ Y0 )
= ( sK6 @ X2 @ ( comp @ X4 @ Y0 ) @ ( sub @ Y1 @ Y0 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f612]) ).
thf(f614,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( ( ^ [Y0: term] :
( ( X2 @ id @ Y0 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ Y0 ) @ id ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f610]) ).
thf(f615,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( $true
= ( ( X2 @ id @ X4 @ id )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ X4 ) @ id ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f614]) ).
thf(f616,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) )
@ ( sK7 @ X3 @ X1 ) )
= $false )
| ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f611]) ).
thf(f617,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false )
| ( ( ( X1 @ ( sK7 @ X3 @ X1 ) )
=> ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f616]) ).
thf(f618,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst] :
( ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y1 ) @ Y0 )
= ( sK6 @ X2 @ ( comp @ X4 @ Y0 ) @ ( sub @ Y1 @ Y0 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f613]) ).
thf(f619,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst] :
( ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y1 ) @ Y0 )
= ( sK6 @ X2 @ ( comp @ X4 @ Y0 ) @ ( sub @ Y1 @ Y0 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f613]) ).
thf(f620,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( ( sK0 @ X2 @ X4 )
=> ( X2 @ id @ ( sK6 @ X2 @ id @ X4 ) @ id ) )
= $true ) ),
inference(forward_demodulation,[],[f615,f531]) ).
thf(f621,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f617]) ).
thf(f622,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o] :
( ( ( sK0 @ X2 @ ( lam @ ( sK6 @ X2 @ sh @ one ) ) )
= $false )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f617]) ).
thf(f623,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst,X5: subst] :
( ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y1 ) @ Y0 )
= ( sK6 @ X2 @ ( comp @ X4 @ Y0 ) @ ( sub @ Y1 @ Y0 ) ) ) )
@ X5 ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f618]) ).
thf(f624,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst,X5: subst] :
( ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y0 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ Y0 @ X5 ) ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f623]) ).
thf(f625,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst,X5: subst] :
( ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y1 ) @ Y0 )
= ( sK6 @ X2 @ ( comp @ X4 @ Y0 ) @ ( sub @ Y1 @ Y0 ) ) ) )
@ X5 ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f619]) ).
thf(f626,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: subst,X5: subst] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y0 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ Y0 @ X5 ) ) ) )
= $true )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f625]) ).
thf(f627,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( !! @ term
@ ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( $true
= ( ( sK0 @ X2 @ X4 )
=> ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) ) ) ) ),
inference(forward_demodulation,[],[f620,f531]) ).
thf(f628,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ^ [Y0: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y0 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ Y0 @ X5 ) ) )
@ X6 ) ) ),
inference(pi_proxy_clausification,[],[f624]) ).
thf(f629,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( ( sub @ ( sK6 @ X2 @ X4 @ X6 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ X6 @ X5 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f628]) ).
thf(f630,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( $true
= ( ^ [Y0: term] :
( ( sub @ ( sK6 @ X2 @ X4 @ Y0 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ Y0 @ X5 ) ) )
@ X6 ) )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(pi_proxy_clausification,[],[f626]) ).
thf(f631,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( ( sub @ ( sK6 @ X2 @ X4 @ X6 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ X6 @ X5 ) ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f630]) ).
thf(f632,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( $true
= ( ( sK0 @ X2 @ X4 )
=> ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) ) ) )
| ( ( ^ [Y0: term] :
( ( X1 @ Y0 )
=> ( X1 @ ( sub @ X3 @ ( push @ Y0 @ id ) ) ) )
@ ( sK7 @ X3 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f627]) ).
thf(f633,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( ( X1 @ ( sK7 @ X3 @ X1 ) )
=> ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ( sK0 @ X2 @ X4 )
=> ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) ) ) ) ),
inference(beta-eta_normalization,[],[f632]) ).
thf(f634,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( ( sub @ ( sK6 @ X2 @ X4 @ X6 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ X6 @ X5 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f629]) ).
thf(f635,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X6: term,X4: subst,X5: subst] :
( ( ( sub @ ( sK6 @ X2 @ X4 @ X6 ) @ X5 )
= ( sK6 @ X2 @ ( comp @ X4 @ X5 ) @ ( sub @ X6 @ X5 ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f631]) ).
thf(f636,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( ( sK0 @ X2 @ X4 )
=> ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) ) ) )
| ( ( X1 @ ( lam @ X3 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f633]) ).
thf(f637,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( $true
= ( ( sK0 @ X2 @ X4 )
=> ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) ) ) )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f633]) ).
thf(f638,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) )
= $true )
| ( ( sK0 @ X2 @ X4 )
= $false )
| ( ( X1 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X1 ) @ id ) ) )
= $false )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f636]) ).
thf(f639,plain,
! [X2: subst > term > subst > $o,X3: term,X1: term > $o,X4: term] :
( ( ( sK0 @ X2 @ ( sK6 @ X2 @ id @ X4 ) )
= $true )
| ( ( X1 @ ( lam @ X3 ) )
= $true )
| ( ( sK0 @ X2 @ X4 )
= $false )
| ( $true
= ( X1 @ ( sK7 @ X3 @ X1 ) ) )
| ( ( X2 @ id @ ( sK5 @ X1 @ X2 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f637]) ).
thf(f643,plain,
! [X0: term > $o,X1: term] :
( ( $true != $true )
| ( ( X0 @ ( sK1 @ X0 ) )
= $false )
| ( $true
= ( X0 @ ( sK4 @ X0 ) ) )
| ( ( X0 @ X1 )
= $false )
| ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true ) ),
inference(equality_factoring,[],[f577]) ).
thf(f644,plain,
! [X0: term > $o,X1: term] :
( ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true )
| ( ( X0 @ X1 )
= $false )
| ( ( X0 @ ( sK1 @ X0 ) )
= $false )
| ( $true
= ( X0 @ ( sK4 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f643]) ).
thf(f645,plain,
( ( !! @ ( subst > term > subst > $o )
@ ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ ( sub @ Y1 @ id ) )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( ap @ ( sub @ Y1 @ id ) @ Y2 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) ) )
= $false ),
inference(forward_demodulation,[],[f482,f508]) ).
thf(f646,plain,
( $false
= ( ^ [Y0: subst > term > subst > $o] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( !! @ subst
@ ^ [Y4: subst] :
( ( Y0 @ Y2 @ Y3 @ ( comp @ Y1 @ Y4 ) )
=> ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y4 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ term
@ ^ [Y4: term] :
( ( Y0 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y4 @ Y2 ) @ Y3 )
=> ( Y0 @ Y1 @ Y4 @ ( comp @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ ( sub @ Y1 @ id ) )
=> ( Y0 @ id @ Y1 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y1 @ id )
=> ( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( ap @ ( sub @ Y1 @ id ) @ Y2 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( ( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( !! @ subst
@ ^ [Y4: subst] :
( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
= ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y2: term] :
( ( Y0 @ id @ Y2 @ id )
=> ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
=> ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] : ( Y0 @ id @ Y1 @ id ) ) ) ) ) ) )
@ sK8 ) ),
inference(sigma_proxy_clausification,[],[f645]) ).
thf(f647,plain,
( $false
= ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sK8 @ Y1 @ Y2 @ ( comp @ Y0 @ Y3 ) )
=> ( sK8 @ ( comp @ Y1 @ Y0 ) @ ( sub @ Y2 @ Y0 ) @ Y3 ) ) ) ) ) )
=> ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sK8 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( sK8 @ Y0 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ ( sub @ Y0 @ id ) )
=> ( sK8 @ id @ Y0 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f646]) ).
thf(f648,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( sK8 @ ( comp @ Y0 @ Y1 ) @ ( sub @ Y3 @ Y1 ) @ Y2 )
=> ( sK8 @ Y0 @ Y3 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ ( sub @ Y0 @ id ) )
=> ( sK8 @ id @ Y0 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f647]) ).
thf(f652,plain,
( $false
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ ( sub @ Y0 @ id ) )
=> ( sK8 @ id @ Y0 @ id ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f648]) ).
thf(f658,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) )
=> ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f652]) ).
thf(f659,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( var @ ( sub @ Y0 @ id ) )
=> ( sK8 @ id @ Y0 @ id ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f652]) ).
thf(f664,plain,
( $false
= ( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) ) ) ),
inference(imp_proxy_clausification,[],[f658]) ).
thf(f665,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f658]) ).
thf(f666,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( ( var @ ( sub @ Y0 @ id ) )
=> ( sK8 @ id @ Y0 @ id ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f659]) ).
thf(f667,plain,
! [X1: term] :
( ( ( var @ ( sub @ X1 @ id ) )
=> ( sK8 @ id @ X1 @ id ) )
= $true ),
inference(beta-eta_normalization,[],[f666]) ).
thf(f672,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ Y0 @ id ) @ Y1 ) @ id ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f665]) ).
thf(f673,plain,
! [X1: term] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ X1 @ id )
=> ( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ X1 @ id ) @ Y0 ) @ id ) ) ) ) ),
inference(beta-eta_normalization,[],[f672]) ).
thf(f674,plain,
( ( !! @ term
@ ^ [Y0: term] : ( sK8 @ id @ Y0 @ id ) )
= $false ),
inference(imp_proxy_clausification,[],[f664]) ).
thf(f675,plain,
( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f664]) ).
thf(f676,plain,
! [X1: term] :
( ( ( var @ X1 )
=> ( sK8 @ id @ X1 @ id ) )
= $true ),
inference(forward_demodulation,[],[f667,f513]) ).
thf(f680,plain,
! [X2: term,X1: term] :
( $true
= ( ^ [Y0: term] :
( ( sK8 @ id @ X1 @ id )
=> ( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ X1 @ id ) @ Y0 ) @ id ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f673]) ).
thf(f681,plain,
! [X2: term,X1: term] :
( ( ( sK8 @ id @ X1 @ id )
=> ( ( sK8 @ id @ X2 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id ) ) )
= $true ),
inference(beta-eta_normalization,[],[f680]) ).
thf(f682,plain,
! [X1: subst > term > term] :
( ( ^ [Y0: subst > term > term] :
( ( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ subst
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
= ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( sK8 @ id @ Y1 @ id )
=> ( sK8 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f675]) ).
thf(f683,plain,
! [X1: subst > term > term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
= ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK8 @ id @ ( lam @ ( X1 @ sh @ one ) ) @ id ) ) )
= $true ),
inference(beta-eta_normalization,[],[f682]) ).
thf(f684,plain,
( $false
= ( ^ [Y0: term] : ( sK8 @ id @ Y0 @ id )
@ sK9 ) ),
inference(sigma_proxy_clausification,[],[f674]) ).
thf(f685,plain,
( ( sK8 @ id @ sK9 @ id )
= $false ),
inference(beta-eta_normalization,[],[f684]) ).
thf(f686,plain,
! [X1: term] :
( ( ( var @ X1 )
=> ( sK0 @ sK8 @ X1 ) )
= $true ),
inference(forward_demodulation,[],[f676,f531]) ).
thf(f688,plain,
! [X2: term,X1: term] :
( ( ( sK0 @ sK8 @ X1 )
=> ( ( sK8 @ id @ X2 @ id )
=> ( sK8 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id ) ) )
= $true ),
inference(forward_demodulation,[],[f681,f531]) ).
thf(f689,plain,
! [X1: subst > term > term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
= ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f683,f531]) ).
thf(f690,plain,
! [X1: term] :
( ( ( sK0 @ sK8 @ X1 )
= $true )
| ( ( var @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f686]) ).
thf(f691,plain,
! [X2: term,X1: term] :
( ( ( sK0 @ sK8 @ X1 )
=> ( ( sK0 @ sK8 @ X2 )
=> ( sK8 @ id @ ( ap @ ( sub @ X1 @ id ) @ X2 ) @ id ) ) )
= $true ),
inference(forward_demodulation,[],[f688,f531]) ).
thf(f692,plain,
! [X1: subst > term > term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
= ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f689]) ).
thf(f693,plain,
! [X2: term,X1: term] :
( ( ( sK0 @ sK8 @ X1 )
=> ( ( sK0 @ sK8 @ X2 )
=> ( sK0 @ sK8 @ ( ap @ ( sub @ X1 @ id ) @ X2 ) ) ) )
= $true ),
inference(forward_demodulation,[],[f691,f531]) ).
thf(f694,plain,
! [X1: subst > term > term] :
( ( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
= ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) )
@ ( sK10 @ X1 ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f692]) ).
thf(f695,plain,
! [X1: subst > term > term] :
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( X1 @ Y0 @ ( sK10 @ X1 ) ) @ Y1 )
= ( X1 @ ( comp @ Y0 @ Y1 ) @ ( sub @ ( sK10 @ X1 ) @ Y1 ) ) ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f694]) ).
thf(f696,plain,
! [X2: term,X1: term] :
( ( ( sK0 @ sK8 @ X1 )
=> ( ( sK0 @ sK8 @ X2 )
=> ( sK0 @ sK8 @ ( ap @ X1 @ X2 ) ) ) )
= $true ),
inference(forward_demodulation,[],[f693,f513]) ).
thf(f697,plain,
! [X1: subst > term > term] :
( ( ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( ( sub @ ( X1 @ Y0 @ ( sK10 @ X1 ) ) @ Y1 )
= ( X1 @ ( comp @ Y0 @ Y1 ) @ ( sub @ ( sK10 @ X1 ) @ Y1 ) ) ) )
@ ( sK11 @ X1 ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f695]) ).
thf(f698,plain,
! [X1: subst > term > term] :
( ( ( !! @ subst
@ ^ [Y0: subst] :
( ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ Y0 )
= ( X1 @ ( comp @ ( sK11 @ X1 ) @ Y0 ) @ ( sub @ ( sK10 @ X1 ) @ Y0 ) ) ) )
= $false )
| ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f697]) ).
thf(f699,plain,
! [X2: term,X1: term] :
( ( ( sK0 @ sK8 @ X1 )
= $false )
| ( ( ( sK0 @ sK8 @ X2 )
=> ( sK0 @ sK8 @ ( ap @ X1 @ X2 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f696]) ).
thf(f700,plain,
! [X1: subst > term > term] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true )
| ( ( ^ [Y0: subst] :
( ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ Y0 )
= ( X1 @ ( comp @ ( sK11 @ X1 ) @ Y0 ) @ ( sub @ ( sK10 @ X1 ) @ Y0 ) ) )
@ ( sK12 @ X1 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f698]) ).
thf(f701,plain,
! [X1: subst > term > term] :
( ( ( ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
=> ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) ) )
= $true )
| ( ( ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) )
= ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f700]) ).
thf(f702,plain,
! [X2: term,X1: term] :
( ( $true
= ( sK0 @ sK8 @ ( ap @ X1 @ X2 ) ) )
| ( ( sK0 @ sK8 @ X2 )
= $false )
| ( ( sK0 @ sK8 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f699]) ).
thf(f703,plain,
! [X1: subst > term > term] :
( ( ( ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) )
= ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) ) )
= $false )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f701]) ).
thf(f704,plain,
! [X1: subst > term > term] :
( ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true )
| ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) ) ) ) ),
inference(equality_proxy_clausification,[],[f703]) ).
thf(f705,plain,
! [X1: subst > term > term] :
( ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( ( ^ [Y0: term] :
( ( sK8 @ id @ Y0 @ id )
=> ( sK8 @ id @ ( X1 @ id @ Y0 ) @ id ) )
@ ( sK13 @ X1 ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f704]) ).
thf(f706,plain,
! [X1: subst > term > term] :
( ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( ( ( sK8 @ id @ ( sK13 @ X1 ) @ id )
=> ( sK8 @ id @ ( X1 @ id @ ( sK13 @ X1 ) ) @ id ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f705]) ).
thf(f707,plain,
! [X1: subst > term > term] :
( ( ( ( sK0 @ sK8 @ ( sK13 @ X1 ) )
=> ( sK8 @ id @ ( X1 @ id @ ( sK13 @ X1 ) ) @ id ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true )
| ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f706,f531]) ).
thf(f708,plain,
! [X1: subst > term > term] :
( ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true )
| ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( ( ( sK0 @ sK8 @ ( sK13 @ X1 ) )
=> ( sK0 @ sK8 @ ( X1 @ id @ ( sK13 @ X1 ) ) ) )
= $false ) ),
inference(forward_demodulation,[],[f707,f531]) ).
thf(f709,plain,
! [X1: subst > term > term] :
( ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( X1 @ id @ ( sK13 @ X1 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f708]) ).
thf(f710,plain,
! [X1: subst > term > term] :
( ( ( X1 @ ( comp @ ( sK11 @ X1 ) @ ( sK12 @ X1 ) ) @ ( sub @ ( sK10 @ X1 ) @ ( sK12 @ X1 ) ) )
!= ( sub @ ( X1 @ ( sK11 @ X1 ) @ ( sK10 @ X1 ) ) @ ( sK12 @ X1 ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( X1 @ sh @ one ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK13 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f708]) ).
thf(f711,plain,
( ( sK0 @ sK8 @ sK9 )
= $false ),
inference(superposition,[],[f685,f531]) ).
thf(f747,definition,
( spl14_2
<=> ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
thf(f749,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f747]) ).
thf(f751,definition,
( spl14_3
<=> ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
thf(f752,plain,
( ( $true
!= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| spl14_3 ),
inference(avatar_component_clause,[],[f751]) ).
thf(f753,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f751]) ).
thf(f755,definition,
( spl14_4
<=> ! [X0: term] :
( ( sK0 @ sK8 @ X0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
thf(f756,plain,
( ! [X0: term] :
( ( sK0 @ sK8 @ X0 )
= $true )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f755]) ).
thf(f763,definition,
( spl14_6
<=> ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_6])],[avatar_definition]) ).
thf(f765,plain,
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f763]) ).
thf(f767,definition,
( spl14_7
<=> ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
thf(f768,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
!= $false )
| spl14_7 ),
inference(avatar_component_clause,[],[f767]) ).
thf(f769,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f767]) ).
thf(f772,definition,
( spl14_8
<=> ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
thf(f773,plain,
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
!= $true )
| spl14_8 ),
inference(avatar_component_clause,[],[f772]) ).
thf(f774,plain,
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f772]) ).
thf(f792,plain,
( ( $true = $false )
| ~ spl14_4 ),
inference(superposition,[],[f711,f756]) ).
thf(f805,plain,
( $false
| ~ spl14_4 ),
inference(trivial_inequality_removal,[],[f792]) ).
thf(f806,plain,
~ spl14_4,
inference(avatar_contradiction_clause,[],[f805]) ).
thf(f844,definition,
( spl14_9
<=> ! [X0: term > $o,X1: term] :
( ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
thf(f845,plain,
( ! [X0: term > $o,X1: term] :
( ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true ) )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f844]) ).
thf(f853,plain,
! [X0: term] :
( ( $true = $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false ) ),
inference(superposition,[],[f702,f570]) ).
thf(f854,plain,
! [X0: term] :
( ( $true = $false )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) ),
inference(superposition,[],[f572,f702]) ).
thf(f858,plain,
! [X0: term] :
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f853]) ).
thf(f859,plain,
! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f854]) ).
thf(f864,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true = $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_8 ),
inference(forward_demodulation,[],[f858,f774]) ).
thf(f865,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_8 ),
inference(trivial_inequality_removal,[],[f864]) ).
thf(f866,plain,
( ! [X0: term] :
( ( $true = $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_8 ),
inference(forward_demodulation,[],[f859,f774]) ).
thf(f867,plain,
( ! [X0: term] :
( ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_8 ),
inference(trivial_inequality_removal,[],[f866]) ).
thf(f872,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) )
| ~ spl14_3
| ~ spl14_8 ),
inference(forward_demodulation,[],[f865,f753]) ).
thf(f873,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) )
| ~ spl14_3
| ~ spl14_8 ),
inference(trivial_inequality_removal,[],[f872]) ).
thf(f874,plain,
( ! [X0: term] :
( ( $true = $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false ) )
| ~ spl14_3
| ~ spl14_8 ),
inference(forward_demodulation,[],[f867,f753]) ).
thf(f875,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $false )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_3
| ~ spl14_8 ),
inference(trivial_inequality_removal,[],[f874]) ).
thf(f878,plain,
( spl14_2
| spl14_7
| spl14_4
| ~ spl14_3
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f873,f772,f751,f755,f767,f747]) ).
thf(f879,plain,
( spl14_4
| spl14_7
| spl14_6
| ~ spl14_3
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f875,f772,f751,f763,f767,f755]) ).
thf(f899,definition,
( spl14_11
<=> ! [X0: term > $o,X1: term] :
( ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_11])],[avatar_definition]) ).
thf(f900,plain,
( ! [X0: term > $o,X1: term] :
( ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false ) )
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f899]) ).
thf(f911,plain,
! [X0: term > $o,X1: term] :
( ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true )
| ( $true
= ( X0 @ ( sK2 @ X0 ) ) )
| ( ( X0 @ X1 )
= $false )
| ( $true != $true )
| ( ( X0 @ ( sK1 @ X0 ) )
= $false ) ),
inference(equality_factoring,[],[f582]) ).
thf(f912,plain,
! [X0: term > $o,X1: term] :
( ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true )
| ( $true
= ( X0 @ ( sK2 @ X0 ) ) )
| ( ( X0 @ ( sK1 @ X0 ) )
= $false )
| ( ( X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f911]) ).
thf(f913,plain,
! [X0: term > $o,X1: term] :
( ( ( var @ ( sK1 @ X0 ) )
= $true )
| ( $true
= ( X0 @ ( sK2 @ X0 ) ) )
| ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true )
| ( $true != $true )
| ( ( X0 @ X1 )
= $false ) ),
inference(equality_factoring,[],[f583]) ).
thf(f914,plain,
! [X0: term > $o,X1: term] :
( ( ( X0 @ ( sub @ ( sK3 @ X0 ) @ ( push @ X1 @ id ) ) )
= $true )
| ( ( var @ ( sK1 @ X0 ) )
= $true )
| ( ( X0 @ X1 )
= $false )
| ( $true
= ( X0 @ ( sK2 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f913]) ).
thf(f920,plain,
( ! [X0: term > $o,X1: term] :
( ( ( sK0 @ sK8 @ ( sK5 @ X0 @ sK8 ) )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true ) )
| ~ spl14_9 ),
inference(superposition,[],[f845,f531]) ).
thf(f926,plain,
( ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) )
= $true ) )
| ~ spl14_9 ),
inference(equality_resolution,[],[f920]) ).
thf(f930,definition,
( spl14_12
<=> ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
thf(f931,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) ) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f930]) ).
thf(f939,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( X1 @ ( sub @ X2 @ ( push @ ( sK7 @ X2 @ X1 ) @ id ) ) )
= $false )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ X0 ) ) ) )
| ( ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) )
!= ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) ) ) ),
inference(superposition,[],[f710,f634]) ).
thf(f940,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( $true
= ( X1 @ ( sK7 @ X2 @ X1 ) ) )
| ( ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) )
!= ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( $true
= ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ X0 ) ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) ) ),
inference(superposition,[],[f710,f635]) ).
thf(f942,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ X0 ) ) ) )
| ( ( X1 @ ( sub @ X2 @ ( push @ ( sK7 @ X2 @ X1 ) @ id ) ) )
= $false )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f939]) ).
thf(f943,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( $true
= ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ X0 ) ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( $true
= ( X1 @ ( sK7 @ X2 @ X1 ) ) )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f957,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) )
!= ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) ) )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( ( sK0 @ sK8 @ ( sK6 @ X0 @ id @ ( sK13 @ ( sK6 @ X0 ) ) ) )
= $false )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( ( X1 @ ( sub @ X2 @ ( push @ ( sK7 @ X2 @ X1 ) @ id ) ) )
= $false ) ),
inference(superposition,[],[f709,f634]) ).
thf(f958,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( ( sK0 @ sK8 @ ( sK6 @ X0 @ id @ ( sK13 @ ( sK6 @ X0 ) ) ) )
= $false )
| ( $true
= ( X1 @ ( sK7 @ X2 @ X1 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) )
!= ( sub @ ( sK6 @ X0 @ ( sK11 @ ( sK6 @ X0 ) ) @ ( sK10 @ ( sK6 @ X0 ) ) ) @ ( sK12 @ ( sK6 @ X0 ) ) ) )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true ) ),
inference(superposition,[],[f709,f635]) ).
thf(f959,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( ( sK0 @ sK8 @ ( sK6 @ X0 @ id @ ( sK13 @ ( sK6 @ X0 ) ) ) )
= $false )
| ( ( X1 @ ( sub @ X2 @ ( push @ ( sK7 @ X2 @ X1 ) @ id ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f957]) ).
thf(f961,plain,
! [X2: term,X0: subst > term > subst > $o,X1: term > $o] :
( ( ( sK0 @ sK8 @ ( sK6 @ X0 @ id @ ( sK13 @ ( sK6 @ X0 ) ) ) )
= $false )
| ( $true
= ( X1 @ ( sK7 @ X2 @ X1 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ X0 @ sh @ one ) ) ) )
| ( ( X1 @ ( lam @ X2 ) )
= $true )
| ( ( X0 @ id @ ( sK5 @ X1 @ X0 ) @ id )
!= ( X1 @ ( sK5 @ X1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f958]) ).
thf(f965,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( $true = $false )
| ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true )
| ( $true
= ( X2 @ ( lam @ X3 ) ) ) ),
inference(superposition,[],[f943,f622]) ).
thf(f973,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) ) ),
inference(trivial_inequality_removal,[],[f965]) ).
thf(f975,definition,
( spl14_16
<=> ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
thf(f977,plain,
( ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f975]) ).
thf(f981,plain,
( spl14_16
| spl14_9
| spl14_9 ),
inference(avatar_split_clause,[],[f973,f844,f844,f975]) ).
thf(f982,plain,
( spl14_12
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f926,f844,f930]) ).
thf(f995,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) ) ),
inference(superposition,[],[f942,f621]) ).
thf(f1002,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $true )
| ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f995]) ).
thf(f1006,plain,
( spl14_11
| spl14_11
| spl14_16 ),
inference(avatar_split_clause,[],[f1002,f975,f899,f899]) ).
thf(f1009,plain,
( ! [X0: term > $o,X1: term] :
( ( ( sK0 @ sK8 @ ( sK5 @ X0 @ sK8 ) )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( X0 @ ( lam @ X1 ) )
= $true ) )
| ~ spl14_11 ),
inference(superposition,[],[f900,f531]) ).
thf(f1015,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sub @ X0 @ ( push @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) @ id ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) ) )
| ~ spl14_11 ),
inference(equality_resolution,[],[f1009]) ).
thf(f1019,definition,
( spl14_17
<=> ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sub @ X0 @ ( push @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) @ id ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
thf(f1020,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sub @ X0 @ ( push @ ( sK7 @ X0 @ ( sK0 @ sK8 ) ) @ id ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( lam @ X0 ) ) ) )
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f1019]) ).
thf(f1024,plain,
( spl14_17
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f1015,f899,f1019]) ).
thf(f1029,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $true = $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) ) ),
inference(superposition,[],[f961,f639]) ).
thf(f1037,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $false )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1029]) ).
thf(f1047,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) )
| ( $true = $false ) ),
inference(superposition,[],[f638,f959]) ).
thf(f1053,plain,
! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( ( sK0 @ sK8 @ ( sK13 @ ( sK6 @ sK8 ) ) )
= $false )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) ) ),
inference(trivial_inequality_removal,[],[f1047]) ).
thf(f1057,plain,
( ! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( $true = $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) ) )
| ~ spl14_16 ),
inference(forward_demodulation,[],[f1053,f977]) ).
thf(f1058,plain,
( ! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $false
= ( X2 @ ( sub @ X3 @ ( push @ ( sK7 @ X3 @ X2 ) @ id ) ) ) )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) ) )
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f1057]) ).
thf(f1060,definition,
( spl14_18
<=> ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
thf(f1062,plain,
( ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f1060]) ).
thf(f1064,plain,
( spl14_11
| spl14_18
| spl14_11
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f1058,f975,f899,f1060,f899]) ).
thf(f1067,plain,
( ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $true = $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false ) )
| ~ spl14_17 ),
inference(superposition,[],[f1020,f578]) ).
thf(f1068,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true = $false ) )
| ~ spl14_17 ),
inference(superposition,[],[f1020,f581]) ).
thf(f1072,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_17 ),
inference(superposition,[],[f1020,f644]) ).
thf(f1075,plain,
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_17 ),
inference(superposition,[],[f1020,f914]) ).
thf(f1084,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_17 ),
inference(superposition,[],[f584,f1020]) ).
thf(f1087,plain,
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $true = $false )
| ~ spl14_17 ),
inference(superposition,[],[f912,f1020]) ).
thf(f1091,plain,
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1075]) ).
thf(f1092,plain,
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1072]) ).
thf(f1100,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1067]) ).
thf(f1106,plain,
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1087]) ).
thf(f1115,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true ) )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1068]) ).
thf(f1116,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false ) )
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1084]) ).
thf(f1129,plain,
( ! [X0: term] :
( ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_7
| ~ spl14_17 ),
inference(forward_demodulation,[],[f1115,f769]) ).
thf(f1130,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false ) )
| ~ spl14_7
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1129]) ).
thf(f1131,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ( $true = $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_7
| ~ spl14_17 ),
inference(forward_demodulation,[],[f1116,f769]) ).
thf(f1132,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) ) )
| ~ spl14_7
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1131]) ).
thf(f1134,definition,
( spl14_19
<=> ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
thf(f1136,plain,
( ( $false
= ( sK0 @ sK8 @ ( ap @ ( sK4 @ ( sK0 @ sK8 ) ) @ ( sK2 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f1134]) ).
thf(f1138,definition,
( spl14_20
<=> ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl14_20])],[avatar_definition]) ).
thf(f1139,plain,
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
!= $false )
| spl14_20 ),
inference(avatar_component_clause,[],[f1138]) ).
thf(f1140,plain,
( ( ( sK0 @ sK8 @ ( sK7 @ ( sK3 @ ( sK0 @ sK8 ) ) @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f1138]) ).
thf(f1147,plain,
( spl14_2
| spl14_20
| spl14_4
| spl14_19
| ~ spl14_7
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f1130,f1019,f767,f1134,f755,f1138,f747]) ).
thf(f1148,plain,
( spl14_6
| spl14_19
| spl14_20
| spl14_4
| ~ spl14_7
| ~ spl14_17 ),
inference(avatar_split_clause,[],[f1132,f1019,f767,f755,f1138,f1134,f763]) ).
thf(f1155,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true = $false )
| ~ spl14_12
| ~ spl14_20 ),
inference(superposition,[],[f931,f1140]) ).
thf(f1158,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ~ spl14_12
| ~ spl14_20 ),
inference(trivial_inequality_removal,[],[f1155]) ).
thf(f1164,plain,
( ( $true = $false )
| ~ spl14_7
| ~ spl14_12
| ~ spl14_20 ),
inference(forward_demodulation,[],[f1158,f769]) ).
thf(f1165,plain,
( $false
| ~ spl14_7
| ~ spl14_12
| ~ spl14_20 ),
inference(trivial_inequality_removal,[],[f1164]) ).
thf(f1166,plain,
( ~ spl14_7
| ~ spl14_12
| ~ spl14_20 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
thf(f1175,plain,
( ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_19 ),
inference(superposition,[],[f1136,f702]) ).
thf(f1179,plain,
( ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_19 ),
inference(trivial_inequality_removal,[],[f1175]) ).
thf(f1183,plain,
( ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $true = $false )
| ~ spl14_8
| ~ spl14_19 ),
inference(forward_demodulation,[],[f1179,f774]) ).
thf(f1184,plain,
( ( $false
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_8
| ~ spl14_19 ),
inference(trivial_inequality_removal,[],[f1183]) ).
thf(f1191,plain,
( ( $true = $false )
| ~ spl14_3
| ~ spl14_8
| ~ spl14_19 ),
inference(superposition,[],[f753,f1184]) ).
thf(f1197,plain,
( $false
| ~ spl14_3
| ~ spl14_8
| ~ spl14_19 ),
inference(trivial_inequality_removal,[],[f1191]) ).
thf(f1198,plain,
( ~ spl14_3
| ~ spl14_8
| ~ spl14_19 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
thf(f1202,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1092,f1139]) ).
thf(f1207,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1100,f1139]) ).
thf(f1248,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true = $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f1202,f769]) ).
thf(f1249,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(trivial_inequality_removal,[],[f1248]) ).
thf(f1251,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1091,f1139]) ).
thf(f1257,plain,
( ( ( sK0 @ sK8 @ ( lam @ ( sK3 @ ( sK0 @ sK8 ) ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1106,f1139]) ).
thf(f1274,plain,
( ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( $true = $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f1207,f769]) ).
thf(f1275,plain,
( ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(trivial_inequality_removal,[],[f1274]) ).
thf(f1282,plain,
( ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f1251,f769]) ).
thf(f1291,plain,
( ( $true = $false )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f1257,f769]) ).
thf(f1292,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(trivial_inequality_removal,[],[f1291]) ).
thf(f1323,plain,
( ! [X0: term > $o,X1: term] :
( ( $true = $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false ) )
| ~ spl14_18 ),
inference(superposition,[],[f621,f1062]) ).
thf(f1324,plain,
( ! [X0: term > $o,X1: term] :
( ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( $true = $false )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) ) )
| ~ spl14_18 ),
inference(superposition,[],[f622,f1062]) ).
thf(f1326,plain,
( ! [X0: term > $o,X1: term] :
( ( ( X0 @ ( sub @ X1 @ ( push @ ( sK7 @ X1 @ X0 ) @ id ) ) )
= $false )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true ) )
| ~ spl14_18 ),
inference(trivial_inequality_removal,[],[f1323]) ).
thf(f1327,plain,
( ! [X0: term > $o,X1: term] :
( ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) ) )
| ~ spl14_18 ),
inference(trivial_inequality_removal,[],[f1324]) ).
thf(f1329,plain,
( spl14_11
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f1326,f1060,f899]) ).
thf(f1337,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( $false != $false ) )
| spl14_7 ),
inference(superposition,[],[f768,f573]) ).
thf(f1338,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $false != $false ) )
| spl14_7 ),
inference(superposition,[],[f768,f571]) ).
thf(f1339,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( $false != $false ) )
| spl14_7 ),
inference(superposition,[],[f768,f565]) ).
thf(f1340,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $false != $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false ) )
| spl14_7 ),
inference(superposition,[],[f768,f563]) ).
thf(f1341,plain,
( ! [X0: term] :
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) ) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f1339]) ).
thf(f1342,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true ) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f1337]) ).
thf(f1343,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f1338]) ).
thf(f1344,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ X0 )
= $true )
| ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ ( sK0 @ sK8 ) ) ) ) )
| spl14_7 ),
inference(trivial_inequality_removal,[],[f1340]) ).
thf(f1345,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f1341,f752]) ).
thf(f1346,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_7
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f1342,f773]) ).
thf(f1347,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_7
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f1343,f773]) ).
thf(f1348,plain,
( ! [X0: term] :
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_3
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f1344,f752]) ).
thf(f1349,plain,
( spl14_4
| spl14_6
| spl14_3
| spl14_7 ),
inference(avatar_split_clause,[],[f1345,f767,f751,f763,f755]) ).
thf(f1350,plain,
( spl14_6
| spl14_4
| spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f1346,f772,f767,f755,f763]) ).
thf(f1351,plain,
( spl14_4
| spl14_2
| spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f1347,f772,f767,f747,f755]) ).
thf(f1352,plain,
( spl14_4
| spl14_2
| spl14_3
| spl14_7 ),
inference(avatar_split_clause,[],[f1348,f767,f751,f747,f755]) ).
thf(f1357,plain,
( spl14_9
| ~ spl14_18 ),
inference(avatar_split_clause,[],[f1327,f1060,f844]) ).
thf(f1358,plain,
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ ( sK2 @ ( sK0 @ sK8 ) ) )
= $true )
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(trivial_inequality_removal,[],[f1282]) ).
thf(f1370,plain,
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1358,f773]) ).
thf(f1371,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| spl14_3
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1249,f752]) ).
thf(f1378,plain,
( ( ( sK0 @ sK8 @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1292,f773]) ).
thf(f1392,plain,
( ! [X0: term] :
( ( $true
= ( var @ ( sK1 @ ( sK0 @ sK8 ) ) ) )
| ( ( sK0 @ sK8 @ X0 )
= $true ) )
| spl14_3
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(forward_subsumption_resolution,[],[f1275,f752]) ).
thf(f1394,plain,
( spl14_6
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f1370,f1138,f1019,f772,f767,f763]) ).
thf(f1395,plain,
( spl14_2
| spl14_3
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f1371,f1138,f1019,f767,f751,f747]) ).
thf(f1397,plain,
( spl14_2
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f1378,f1138,f1019,f772,f767,f747]) ).
thf(f1405,plain,
( spl14_4
| spl14_6
| spl14_3
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f1392,f1138,f1019,f767,f751,f763,f755]) ).
thf(f1406,plain,
( ( $true = $false )
| ( ( var @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_2 ),
inference(superposition,[],[f749,f690]) ).
thf(f1408,plain,
( ( ( var @ ( sK1 @ ( sK0 @ sK8 ) ) )
= $false )
| ~ spl14_2 ),
inference(trivial_inequality_removal,[],[f1406]) ).
thf(f1415,plain,
( ( $true = $false )
| ~ spl14_2
| ~ spl14_6 ),
inference(superposition,[],[f765,f1408]) ).
thf(f1418,plain,
( $false
| ~ spl14_2
| ~ spl14_6 ),
inference(trivial_inequality_removal,[],[f1415]) ).
thf(f1419,plain,
( ~ spl14_2
| ~ spl14_6 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
thf(f1425,plain,
( ! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( $true = $false )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true )
| ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) ) )
| ~ spl14_16 ),
inference(forward_demodulation,[],[f1037,f977]) ).
thf(f1426,plain,
( ! [X2: term > $o,X3: term,X0: term > $o,X1: term] :
( ( $true
= ( X0 @ ( sK7 @ X1 @ X0 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X2 @ sK8 ) @ id )
!= ( X2 @ ( sK5 @ X2 @ sK8 ) ) )
| ( $true
= ( sK0 @ sK8 @ ( lam @ ( sK6 @ sK8 @ sh @ one ) ) ) )
| ( ( X2 @ ( sK7 @ X3 @ X2 ) )
= $true )
| ( $true
= ( X2 @ ( lam @ X3 ) ) )
| ( ( sK8 @ id @ ( sK5 @ X0 @ sK8 ) @ id )
!= ( X0 @ ( sK5 @ X0 @ sK8 ) ) )
| ( ( X0 @ ( lam @ X1 ) )
= $true ) )
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f1425]) ).
thf(f1428,plain,
( spl14_9
| spl14_9
| spl14_18
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f1426,f975,f1060,f844,f844]) ).
cnf(s14,plain,
~ spl14_4,
inference(sat_conversion,[],[f806]) ).
cnf(s19,plain,
( spl14_2
| ~ spl14_3
| spl14_4
| spl14_7
| ~ spl14_8 ),
inference(sat_conversion,[],[f878]) ).
cnf(s20,plain,
( ~ spl14_3
| spl14_4
| spl14_6
| spl14_7
| ~ spl14_8 ),
inference(sat_conversion,[],[f879]) ).
cnf(s31,plain,
( spl14_9
| spl14_9
| spl14_16 ),
inference(sat_conversion,[],[f981]) ).
cnf(s32,plain,
( spl14_9
| spl14_16 ),
inference(rat,[],[s31]) ).
cnf(s33,plain,
( ~ spl14_9
| spl14_12 ),
inference(sat_conversion,[],[f982]) ).
cnf(s34,plain,
( spl14_11
| spl14_11
| spl14_16 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s35,plain,
( spl14_11
| spl14_16 ),
inference(rat,[],[s34]) ).
cnf(s39,plain,
( ~ spl14_11
| spl14_17 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s42,plain,
( spl14_11
| spl14_11
| ~ spl14_16
| spl14_18 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s43,plain,
( spl14_11
| ~ spl14_16
| spl14_18 ),
inference(rat,[],[s42]) ).
cnf(s51,plain,
( spl14_2
| spl14_4
| ~ spl14_7
| ~ spl14_17
| spl14_19
| spl14_20 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s52,plain,
( spl14_4
| spl14_6
| ~ spl14_7
| ~ spl14_17
| spl14_19
| spl14_20 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s54,plain,
( ~ spl14_7
| ~ spl14_12
| ~ spl14_20 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s56,plain,
( ~ spl14_3
| ~ spl14_8
| ~ spl14_19 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s83,plain,
( spl14_11
| ~ spl14_18 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s87,plain,
( spl14_3
| spl14_4
| spl14_6
| spl14_7 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s88,plain,
( spl14_4
| spl14_6
| spl14_7
| spl14_8 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s89,plain,
( spl14_2
| spl14_4
| spl14_7
| spl14_8 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s90,plain,
( spl14_2
| spl14_3
| spl14_4
| spl14_7 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s91,plain,
( spl14_9
| ~ spl14_18 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s95,plain,
( spl14_6
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s96,plain,
( spl14_2
| spl14_3
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(sat_conversion,[],[f1395]) ).
cnf(s103,plain,
( spl14_2
| ~ spl14_7
| spl14_8
| ~ spl14_17
| spl14_20 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s117,plain,
( spl14_3
| spl14_4
| spl14_6
| ~ spl14_7
| ~ spl14_17
| spl14_20 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s120,plain,
( ~ spl14_2
| ~ spl14_6 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s123,plain,
( spl14_9
| spl14_9
| ~ spl14_16
| spl14_18 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s124,plain,
( spl14_9
| ~ spl14_16
| spl14_18 ),
inference(rat,[],[s123]) ).
cnf(s139,plain,
( spl14_7
| ~ spl14_3
| spl14_2 ),
inference(rat,[],[s19,s89,s14]) ).
cnf(s140,plain,
spl14_9,
inference(rat,[],[s124,s32,s91]) ).
cnf(s141,plain,
spl14_12,
inference(rat,[],[s33,s140]) ).
cnf(s142,plain,
( spl14_11
| spl14_18 ),
inference(rat,[],[s35,s43]) ).
cnf(s143,plain,
spl14_11,
inference(rat,[],[s142,s83]) ).
cnf(s144,plain,
spl14_17,
inference(rat,[],[s39,s143]) ).
cnf(s145,plain,
( ~ spl14_3
| spl14_2 ),
inference(rat,[],[s56,s51,s103,s54,s139,s141,s144,s14]) ).
cnf(s146,plain,
( ~ spl14_7
| spl14_3
| spl14_2 ),
inference(rat,[],[s54,s96,s144,s141]) ).
cnf(s147,plain,
( spl14_3
| spl14_2 ),
inference(rat,[],[s146,s90,s14]) ).
cnf(s148,plain,
spl14_2,
inference(rat,[],[s147,s145]) ).
cnf(s149,plain,
~ spl14_6,
inference(rat,[],[s120,s148]) ).
cnf(s150,plain,
( ~ spl14_7
| ~ spl14_3 ),
inference(rat,[],[s56,s52,s95,s54,s14,s144,s149,s141]) ).
cnf(s151,plain,
( spl14_7
| ~ spl14_3 ),
inference(rat,[],[s88,s20,s149,s14]) ).
cnf(s152,plain,
~ spl14_3,
inference(rat,[],[s151,s150]) ).
cnf(s153,plain,
spl14_7,
inference(rat,[],[s87,s149,s14,s152]) ).
cnf(s154,plain,
~ spl14_20,
inference(rat,[],[s54,s141,s153]) ).
cnf(s156,plain,
$false,
inference(rat,[],[s117,s149,s144,s152,s14,s153,s154]) ).
thf(f1429,plain,
$false,
inference(avatar_sat_refutation,[],[s156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG269^3 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n015.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 17:39:03 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.28 Running higher-order theorem proving
% 0.26/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/0.51 % (3861675)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.10/0.51 % (3861687)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.10/0.51 % (3861687)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.10/0.51 % (3861687)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=75924457:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.10/0.51 % (3861683)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3680991359:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.10/0.51 % (3861684)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3510931432:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.10/0.51 % (3861681)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1288468142:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.10/0.51 % (3861685)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4160779778:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.10/0.51 % (3861686)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3352663653:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.10/0.51 % (3861682)lrs+10_16_si=on:nwc=1.5:random_seed=3730201390:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.10/0.51 % (3861683)Instruction limit reached!
% 1.10/0.51 % (3861683)------------------------------
% 1.10/0.51 % (3861683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (3861683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (3861683)CaDiCaL version: 2.1.3
% 1.10/0.51 % (3861683)Termination reason: Instruction limit
% 1.10/0.51 % (3861683)Termination phase: shuffling
% 1.10/0.51 % (3861683)Time elapsed: 0.004 s
% 1.10/0.51 % (3861683)Peak memory usage: 10 MB
% 1.10/0.51 % (3861683)Instructions burned: 4 (million)
% 1.10/0.51 % (3861682)Instruction limit reached!
% 1.10/0.51 % (3861682)------------------------------
% 1.10/0.51 % (3861682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (3861682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (3861682)CaDiCaL version: 2.1.3
% 1.10/0.51 % (3861682)Termination reason: Instruction limit
% 1.10/0.51 % (3861682)Termination phase: shuffling
% 1.10/0.51 % (3861682)Time elapsed: 0.016 s
% 1.10/0.51 % (3861682)Peak memory usage: 10 MB
% 1.10/0.51 % (3861682)Instructions burned: 19 (million)
% 1.10/0.51 % (3861685)Instruction limit reached!
% 1.10/0.51 % (3861685)------------------------------
% 1.10/0.51 % (3861685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (3861685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (3861685)CaDiCaL version: 2.1.3
% 1.10/0.51 % (3861685)Termination reason: Instruction limit
% 1.10/0.51 % (3861685)Termination phase: Naming
% 1.10/0.51 % (3861685)Time elapsed: 0.022 s
% 1.10/0.51 % (3861685)Peak memory usage: 11 MB
% 1.10/0.51 % (3861685)Instructions burned: 26 (million)
% 1.10/0.51 % (3861695)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1356832395:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.10/0.51 % (3861695)Instruction limit reached!
% 1.10/0.51 % (3861695)------------------------------
% 1.10/0.51 % (3861695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.51 % (3861695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.51 % (3861695)CaDiCaL version: 2.1.3
% 1.10/0.51 % (3861695)Termination reason: Instruction limit
% 1.10/0.51 % (3861695)Termination phase: shuffling
% 1.10/0.51 % (3861695)Time elapsed: 0.003 s
% 1.10/0.51 % (3861695)Peak memory usage: 10 MB
% 1.10/0.51 % (3861695)Instructions burned: 3 (million)
% 1.10/0.51 % (3861698)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.56 % (3861698)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3229169026:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.10/0.56 % (3861697)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3805611327:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.10/0.56 % (3861698)Instruction limit reached!
% 1.10/0.56 % (3861698)------------------------------
% 1.10/0.56 % (3861698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861698)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861698)Termination reason: Instruction limit
% 1.10/0.56 % (3861698)Termination phase: shuffling
% 1.10/0.56 % (3861698)Time elapsed: 0.004 s
% 1.10/0.56 % (3861698)Peak memory usage: 10 MB
% 1.10/0.56 % (3861698)Instructions burned: 7 (million)
% 1.10/0.56 % (3861697)Instruction limit reached!
% 1.10/0.56 % (3861697)------------------------------
% 1.10/0.56 % (3861697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861697)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861697)Termination reason: Instruction limit
% 1.10/0.56 % (3861697)Termination phase: shuffling
% 1.10/0.56 % (3861697)Time elapsed: 0.005 s
% 1.10/0.56 % (3861697)Peak memory usage: 10 MB
% 1.10/0.56 % (3861697)Instructions burned: 6 (million)
% 1.10/0.56 % (3861687)Instruction limit reached!
% 1.10/0.56 % (3861687)------------------------------
% 1.10/0.56 % (3861687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861687)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861687)Termination reason: Instruction limit
% 1.10/0.56 % (3861687)Termination phase: Saturation
% 1.10/0.56 % (3861687)Time elapsed: 0.066 s
% 1.10/0.56 % (3861687)Peak memory usage: 13 MB
% 1.10/0.56 % (3861687)Instructions burned: 159 (million)
% 1.10/0.56 % (3861686)Instruction limit reached!
% 1.10/0.56 % (3861686)------------------------------
% 1.10/0.56 % (3861686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861686)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861686)Termination reason: Instruction limit
% 1.10/0.56 % (3861686)Termination phase: Property scanning
% 1.10/0.56 % (3861686)Time elapsed: 0.063 s
% 1.10/0.56 % (3861686)Peak memory usage: 12 MB
% 1.10/0.56 % (3861686)Instructions burned: 75 (million)
% 1.10/0.56 % (3861706)lrs+10_1_si=on:cs=on:random_seed=2324458341:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.10/0.56 % (3861701)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3781586438:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.10/0.56 % (3861681)Instruction limit reached!
% 1.10/0.56 % (3861681)------------------------------
% 1.10/0.56 % (3861681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861681)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861681)Termination reason: Instruction limit
% 1.10/0.56 % (3861681)Termination phase: Function definition elimination
% 1.10/0.56 % (3861681)Time elapsed: 0.073 s
% 1.10/0.56 % (3861681)Peak memory usage: 12 MB
% 1.10/0.56 % (3861681)Instructions burned: 87 (million)
% 1.10/0.56 % (3861704)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.10/0.56 % (3861704)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.10/0.56 % (3861706)Instruction limit reached!
% 1.10/0.56 % (3861706)------------------------------
% 1.10/0.56 % (3861706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.56 % (3861706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.56 % (3861706)CaDiCaL version: 2.1.3
% 1.10/0.56 % (3861706)Termination reason: Instruction limit
% 1.10/0.56 % (3861706)Termination phase: shuffling
% 1.10/0.56 % (3861706)Time elapsed: 0.004 s
% 1.10/0.56 % (3861706)Peak memory usage: 10 MB
% 1.84/0.62 % (3861706)Instructions burned: 10 (million)
% 1.84/0.62 % (3861704)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3673083037:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.84/0.62 % (3861701)Instruction limit reached!
% 1.84/0.62 % (3861701)------------------------------
% 1.84/0.62 % (3861701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.62 % (3861701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.62 % (3861701)CaDiCaL version: 2.1.3
% 1.84/0.62 % (3861701)Termination reason: Instruction limit
% 1.84/0.62 % (3861701)Termination phase: shuffling
% 1.84/0.62 % (3861701)Time elapsed: 0.011 s
% 1.84/0.62 % (3861701)Peak memory usage: 10 MB
% 1.84/0.62 % (3861701)Instructions burned: 12 (million)
% 1.84/0.62 % (3861705)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=990402120:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.84/0.62 % (3861707)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.84/0.62 % (3861707)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1685125461:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.84/0.62 % (3861711)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=268344571:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.84/0.62 % (3861707)Instruction limit reached!
% 1.84/0.62 % (3861707)------------------------------
% 1.84/0.62 % (3861707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.62 % (3861707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.62 % (3861707)CaDiCaL version: 2.1.3
% 1.84/0.62 % (3861707)Termination reason: Instruction limit
% 1.84/0.62 % (3861707)Termination phase: shuffling
% 1.84/0.62 % (3861707)Time elapsed: 0.003 s
% 1.84/0.62 % (3861707)Peak memory usage: 10 MB
% 1.84/0.62 % (3861707)Instructions burned: 3 (million)
% 1.84/0.62 % (3861704)Instruction limit reached!
% 1.84/0.62 % (3861704)------------------------------
% 1.84/0.62 % (3861704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.62 % (3861704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.62 % (3861704)CaDiCaL version: 2.1.3
% 1.84/0.62 % (3861704)Termination reason: Instruction limit
% 1.84/0.62 % (3861704)Termination phase: Property scanning
% 1.84/0.62 % (3861704)Time elapsed: 0.026 s
% 1.84/0.62 % (3861704)Peak memory usage: 10 MB
% 1.84/0.62 % (3861704)Instructions burned: 30 (million)
% 1.84/0.62 % (3861710)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1959537126:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.84/0.62 % (3861713)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=221309229:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.84/0.62 % (3861711)Refutation not found, incomplete strategy
% 1.84/0.62 % (3861711)------------------------------
% 1.84/0.62 % (3861711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.62 % (3861711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.62 % (3861711)CaDiCaL version: 2.1.3
% 1.84/0.62 % (3861711)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.62 % (3861711)Time elapsed: 0.021 s
% 1.84/0.62 % (3861711)Peak memory usage: 12 MB
% 1.84/0.62 % (3861711)Instructions burned: 50 (million)
% 1.84/0.62 % (3861711)------------------------------
% 1.84/0.62 % (3861711)------------------------------
% 1.84/0.62 % (3861717)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=193729280:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.84/0.62 % (3861717)Instruction limit reached!
% 1.84/0.62 % (3861717)------------------------------
% 1.84/0.62 % (3861717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.62 % (3861717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.62 % (3861717)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861717)Termination reason: Instruction limit
% 2.23/0.69 % (3861717)Termination phase: shuffling
% 2.23/0.69 % (3861717)Time elapsed: 0.007 s
% 2.23/0.69 % (3861717)Peak memory usage: 10 MB
% 2.23/0.69 % (3861717)Instructions burned: 14 (million)
% 2.23/0.69 % (3861713)Instruction limit reached!
% 2.23/0.69 % (3861713)------------------------------
% 2.23/0.69 % (3861713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861713)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861713)Termination reason: Instruction limit
% 2.23/0.69 % (3861713)Termination phase: SInE selection
% 2.23/0.69 % (3861713)Time elapsed: 0.021 s
% 2.23/0.69 % (3861713)Peak memory usage: 11 MB
% 2.23/0.69 % (3861713)Instructions burned: 25 (million)
% 2.23/0.69 % (3861718)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1859452256:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.23/0.69 % (3861710)Instruction limit reached!
% 2.23/0.69 % (3861710)------------------------------
% 2.23/0.69 % (3861710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861710)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861710)Termination reason: Instruction limit
% 2.23/0.69 % (3861710)Termination phase: shuffling
% 2.23/0.69 % (3861710)Time elapsed: 0.033 s
% 2.23/0.69 % (3861710)Peak memory usage: 11 MB
% 2.23/0.69 % (3861710)Instructions burned: 39 (million)
% 2.23/0.69 % (3861705)Instruction limit reached!
% 2.23/0.69 % (3861705)------------------------------
% 2.23/0.69 % (3861705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861705)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861705)Termination reason: Instruction limit
% 2.23/0.69 % (3861705)Termination phase: Saturation
% 2.23/0.69 % (3861705)Time elapsed: 0.068 s
% 2.23/0.69 % (3861705)Peak memory usage: 12 MB
% 2.23/0.69 % (3861705)Instructions burned: 86 (million)
% 2.23/0.69 % (3861721)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2370781603:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.23/0.69 % (3861723)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3489826623:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.23/0.69 % (3861725)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3512346798:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.23/0.69 % (3861723)Instruction limit reached!
% 2.23/0.69 % (3861723)------------------------------
% 2.23/0.69 % (3861723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861723)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861723)Termination reason: Instruction limit
% 2.23/0.69 % (3861723)Termination phase: shuffling
% 2.23/0.69 % (3861723)Time elapsed: 0.002 s
% 2.23/0.69 % (3861723)Peak memory usage: 10 MB
% 2.23/0.69 % (3861723)Instructions burned: 3 (million)
% 2.23/0.69 % (3861721)Instruction limit reached!
% 2.23/0.69 % (3861721)------------------------------
% 2.23/0.69 % (3861721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861721)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861721)Termination reason: Instruction limit
% 2.23/0.69 % (3861721)Termination phase: shuffling
% 2.23/0.69 % (3861721)Time elapsed: 0.013 s
% 2.23/0.69 % (3861721)Peak memory usage: 10 MB
% 2.23/0.69 % (3861721)Instructions burned: 15 (million)
% 2.23/0.69 % (3861725)Instruction limit reached!
% 2.23/0.69 % (3861725)------------------------------
% 2.23/0.69 % (3861725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.69 % (3861725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.69 % (3861725)CaDiCaL version: 2.1.3
% 2.23/0.69 % (3861725)Termination reason: Instruction limit
% 2.23/0.69 % (3861725)Termination phase: Property scanning
% 2.23/0.69 % (3861725)Time elapsed: 0.012 s
% 2.23/0.69 % (3861725)Peak memory usage: 10 MB
% 2.23/0.69 % (3861725)Instructions burned: 27 (million)
% 2.23/0.69 % (3861726)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3600982282:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.44/0.78 % (3861731)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.44/0.78 % (3861731)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.44/0.78 % (3861728)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2802596882:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.44/0.78 % (3861733)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2885782993:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.44/0.78 % (3861731)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2079923662:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.44/0.78 % (3861732)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.44/0.78 % (3861726)Instruction limit reached!
% 2.44/0.78 % (3861726)------------------------------
% 2.44/0.78 % (3861726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.78 % (3861726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.78 % (3861726)CaDiCaL version: 2.1.3
% 2.44/0.78 % (3861726)Termination reason: Instruction limit
% 2.44/0.78 % (3861726)Termination phase: Property scanning
% 2.44/0.78 % (3861726)Time elapsed: 0.021 s
% 2.44/0.78 % (3861726)Peak memory usage: 10 MB
% 2.44/0.78 % (3861726)Instructions burned: 24 (million)
% 2.44/0.78 % (3861732)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3749184161:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.44/0.78 % (3861731)Instruction limit reached!
% 2.44/0.78 % (3861731)------------------------------
% 2.44/0.78 % (3861731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.78 % (3861731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.78 % (3861731)CaDiCaL version: 2.1.3
% 2.44/0.78 % (3861731)Termination reason: Instruction limit
% 2.44/0.78 % (3861731)Termination phase: shuffling
% 2.44/0.78 % (3861731)Time elapsed: 0.013 s
% 2.44/0.78 % (3861731)Peak memory usage: 10 MB
% 2.44/0.78 % (3861731)Instructions burned: 15 (million)
% 2.44/0.78 % (3861733)Instruction limit reached!
% 2.44/0.78 % (3861733)------------------------------
% 2.44/0.78 % (3861733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.78 % (3861733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.78 % (3861733)CaDiCaL version: 2.1.3
% 2.44/0.78 % (3861733)Termination reason: Instruction limit
% 2.44/0.78 % (3861733)Termination phase: Property scanning
% 2.44/0.78 % (3861733)Time elapsed: 0.014 s
% 2.44/0.78 % (3861733)Peak memory usage: 10 MB
% 2.44/0.78 % (3861733)Instructions burned: 32 (million)
% 2.44/0.78 % (3861732)Instruction limit reached!
% 2.44/0.78 % (3861732)------------------------------
% 2.44/0.78 % (3861732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.78 % (3861732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.78 % (3861732)CaDiCaL version: 2.1.3
% 2.44/0.78 % (3861732)Termination reason: Instruction limit
% 2.44/0.78 % (3861732)Termination phase: shuffling
% 2.44/0.78 % (3861732)Time elapsed: 0.008 s
% 2.44/0.78 % (3861732)Peak memory usage: 10 MB
% 2.44/0.78 % (3861732)Instructions burned: 9 (million)
% 2.44/0.78 % (3861741)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3199582575:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.44/0.78 % (3861738)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1885331523:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.44/0.78 % (3861740)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1252948635:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.44/0.78 % (3861728)Instruction limit reached!
% 3.44/0.94 % (3861728)------------------------------
% 3.44/0.94 % (3861728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861728)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861728)Termination reason: Instruction limit
% 3.44/0.94 % (3861728)Termination phase: Property scanning
% 3.44/0.94 % (3861728)Time elapsed: 0.051 s
% 3.44/0.94 % (3861728)Peak memory usage: 12 MB
% 3.44/0.94 % (3861728)Instructions burned: 60 (million)
% 3.44/0.94 % (3861741)Instruction limit reached!
% 3.44/0.94 % (3861741)------------------------------
% 3.44/0.94 % (3861741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861741)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861741)Termination reason: Instruction limit
% 3.44/0.94 % (3861741)Termination phase: shuffling
% 3.44/0.94 % (3861741)Time elapsed: 0.010 s
% 3.44/0.94 % (3861741)Peak memory usage: 10 MB
% 3.44/0.94 % (3861741)Instructions burned: 20 (million)
% 3.44/0.94 % (3861738)Instruction limit reached!
% 3.44/0.94 % (3861738)------------------------------
% 3.44/0.94 % (3861738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861738)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861738)Termination reason: Instruction limit
% 3.44/0.94 % (3861738)Termination phase: shuffling
% 3.44/0.94 % (3861738)Time elapsed: 0.006 s
% 3.44/0.94 % (3861738)Peak memory usage: 10 MB
% 3.44/0.94 % (3861738)Instructions burned: 7 (million)
% 3.44/0.94 % (3861742)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3708683770:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.44/0.94 % (3861740)Instruction limit reached!
% 3.44/0.94 % (3861740)------------------------------
% 3.44/0.94 % (3861740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861740)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861740)Termination reason: Instruction limit
% 3.44/0.94 % (3861740)Termination phase: Property scanning
% 3.44/0.94 % (3861740)Time elapsed: 0.020 s
% 3.44/0.94 % (3861740)Peak memory usage: 10 MB
% 3.44/0.94 % (3861740)Instructions burned: 24 (million)
% 3.44/0.94 % (3861746)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1581693355:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.44/0.94 % (3861748)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4128290084:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 3.44/0.94 % (3861747)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=386530957:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 3.44/0.94 % (3861750)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.44/0.94 % (3861750)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4028403986:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.44/0.94 % (3861750)Instruction limit reached!
% 3.44/0.94 % (3861750)------------------------------
% 3.44/0.94 % (3861750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861750)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861750)Termination reason: Instruction limit
% 3.44/0.94 % (3861750)Termination phase: shuffling
% 3.44/0.94 % (3861750)Time elapsed: 0.005 s
% 3.44/0.94 % (3861750)Peak memory usage: 10 MB
% 3.44/0.94 % (3861750)Instructions burned: 8 (million)
% 3.44/0.94 % (3861748)Instruction limit reached!
% 3.44/0.94 % (3861748)------------------------------
% 3.44/0.94 % (3861748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/0.94 % (3861748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/0.94 % (3861748)CaDiCaL version: 2.1.3
% 3.44/0.94 % (3861748)Termination reason: Instruction limit
% 3.44/0.94 % (3861748)Termination phase: Property scanning
% 3.44/0.94 % (3861748)Time elapsed: 0.034 s
% 3.44/0.94 % (3861748)Peak memory usage: 10 MB
% 3.44/0.94 % (3861748)Instructions burned: 42 (million)
% 3.44/1.04 % (3861755)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1441503421:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.44/1.04 % (3861747)Refutation not found, incomplete strategy
% 3.44/1.04 % (3861747)------------------------------
% 3.44/1.04 % (3861747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/1.04 % (3861747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.04 % (3861747)CaDiCaL version: 2.1.3
% 3.44/1.04 % (3861747)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.04 % (3861747)Time elapsed: 0.049 s
% 3.44/1.04 % (3861747)Peak memory usage: 13 MB
% 3.44/1.04 % (3861747)Instructions burned: 60 (million)
% 3.44/1.04 % (3861746)Instruction limit reached!
% 3.44/1.04 % (3861746)------------------------------
% 3.44/1.04 % (3861746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/1.04 % (3861746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.04 % (3861746)CaDiCaL version: 2.1.3
% 3.44/1.04 % (3861746)Termination reason: Instruction limit
% 3.44/1.04 % (3861746)Termination phase: Saturation
% 3.44/1.04 % (3861746)Time elapsed: 0.062 s
% 3.44/1.04 % (3861746)Peak memory usage: 13 MB
% 3.44/1.04 % (3861746)Instructions burned: 143 (million)
% 3.44/1.04 % (3861747)------------------------------
% 3.44/1.04 % (3861747)------------------------------
% 3.44/1.04 % (3861756)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3685635822:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.44/1.04 % (3861758)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.44/1.04 % (3861759)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4202159353:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.44/1.04 % (3861758)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2914832964:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.44/1.04 % (3861758)Instruction limit reached!
% 3.44/1.04 % (3861758)------------------------------
% 3.44/1.04 % (3861758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/1.04 % (3861758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.04 % (3861758)CaDiCaL version: 2.1.3
% 3.44/1.04 % (3861758)Termination reason: Instruction limit
% 3.44/1.04 % (3861758)Termination phase: shuffling
% 3.44/1.04 % (3861758)Time elapsed: 0.004 s
% 3.44/1.04 % (3861758)Peak memory usage: 10 MB
% 3.44/1.04 % (3861758)Instructions burned: 7 (million)
% 3.44/1.04 % (3861759)Instruction limit reached!
% 3.44/1.04 % (3861759)------------------------------
% 3.44/1.04 % (3861759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/1.04 % (3861759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.04 % (3861759)CaDiCaL version: 2.1.3
% 3.44/1.04 % (3861759)Termination reason: Instruction limit
% 3.44/1.04 % (3861759)Termination phase: Property scanning
% 3.44/1.04 % (3861759)Time elapsed: 0.009 s
% 3.44/1.04 % (3861759)Peak memory usage: 10 MB
% 3.44/1.04 % (3861759)Instructions burned: 22 (million)
% 3.44/1.04 % (3861764)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2393034913:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.44/1.04 % (3861763)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1792630350:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.44/1.04 % (3861763)Instruction limit reached!
% 3.44/1.04 % (3861763)------------------------------
% 3.44/1.04 % (3861763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.44/1.04 % (3861763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.04 % (3861763)CaDiCaL version: 2.1.3
% 3.44/1.04 % (3861763)Termination reason: Instruction limit
% 3.44/1.04 % (3861763)Termination phase: shuffling
% 3.44/1.04 % (3861763)Time elapsed: 0.019 s
% 3.44/1.04 % (3861763)Peak memory usage: 10 MB
% 3.44/1.04 % (3861763)Instructions burned: 19 (million)
% 5.47/1.16 % (3861718)Instruction limit reached!
% 5.47/1.16 % (3861718)------------------------------
% 5.47/1.16 % (3861718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.16 % (3861718)CaDiCaL version: 2.1.3
% 5.47/1.16 % (3861718)Termination reason: Instruction limit
% 5.47/1.16 % (3861718)Termination phase: Saturation
% 5.47/1.16 % (3861718)Time elapsed: 0.271 s
% 5.47/1.16 % (3861718)Peak memory usage: 16 MB
% 5.47/1.16 % (3861718)Instructions burned: 328 (million)
% 5.47/1.16 % (3861767)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1404886522:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.47/1.16 % (3861768)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1777065626:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.47/1.16 % (3861755)Instruction limit reached!
% 5.47/1.16 % (3861755)------------------------------
% 5.47/1.16 % (3861755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.16 % (3861755)CaDiCaL version: 2.1.3
% 5.47/1.16 % (3861755)Termination reason: Instruction limit
% 5.47/1.16 % (3861755)Termination phase: Saturation
% 5.47/1.16 % (3861755)Time elapsed: 0.155 s
% 5.47/1.16 % (3861755)Peak memory usage: 14 MB
% 5.47/1.16 % (3861755)Instructions burned: 181 (million)
% 5.47/1.16 % (3861768)Instruction limit reached!
% 5.47/1.16 % (3861768)------------------------------
% 5.47/1.16 % (3861768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.16 % (3861768)CaDiCaL version: 2.1.3
% 5.47/1.16 % (3861768)Termination reason: Instruction limit
% 5.47/1.16 % (3861768)Termination phase: Preprocessing 3
% 5.47/1.16 % (3861768)Time elapsed: 0.038 s
% 5.47/1.16 % (3861768)Peak memory usage: 11 MB
% 5.47/1.16 % (3861768)Instructions burned: 45 (million)
% 5.47/1.16 % (3861756)Instruction limit reached!
% 5.47/1.16 % (3861756)------------------------------
% 5.47/1.16 % (3861756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.16 % (3861756)CaDiCaL version: 2.1.3
% 5.47/1.16 % (3861756)Termination reason: Instruction limit
% 5.47/1.16 % (3861756)Termination phase: Saturation
% 5.47/1.16 % (3861756)Time elapsed: 0.145 s
% 5.47/1.16 % (3861756)Peak memory usage: 13 MB
% 5.47/1.16 % (3861756)Instructions burned: 169 (million)
% 5.47/1.16 % (3861771)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3136308014:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.47/1.16 % (3861773)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.47/1.16 % (3861772)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2553905094:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.47/1.16 % (3861773)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1286143326:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.47/1.16 % (3861772)Instruction limit reached!
% 5.47/1.16 % (3861772)------------------------------
% 5.47/1.16 % (3861772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.16 % (3861772)CaDiCaL version: 2.1.3
% 5.47/1.16 % (3861772)Termination reason: Instruction limit
% 5.47/1.16 % (3861772)Termination phase: Property scanning
% 5.47/1.16 % (3861772)Time elapsed: 0.018 s
% 5.47/1.16 % (3861772)Peak memory usage: 10 MB
% 5.47/1.16 % (3861772)Instructions burned: 21 (million)
% 5.47/1.16 % (3861684)Instruction limit reached!
% 5.47/1.16 % (3861684)------------------------------
% 5.47/1.16 % (3861684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.16 % (3861684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861684)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861684)Termination reason: Instruction limit
% 6.30/1.30 % (3861684)Termination phase: Saturation
% 6.30/1.30 % (3861684)Time elapsed: 0.566 s
% 6.30/1.30 % (3861684)Peak memory usage: 18 MB
% 6.30/1.30 % (3861684)Instructions burned: 635 (million)
% 6.30/1.30 % (3861777)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=869304272:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.30/1.30 % (3861777)Instruction limit reached!
% 6.30/1.30 % (3861777)------------------------------
% 6.30/1.30 % (3861777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861777)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861777)Termination reason: Instruction limit
% 6.30/1.30 % (3861777)Termination phase: shuffling
% 6.30/1.30 % (3861777)Time elapsed: 0.012 s
% 6.30/1.30 % (3861777)Peak memory usage: 10 MB
% 6.30/1.30 % (3861777)Instructions burned: 13 (million)
% 6.30/1.30 % (3861764)Instruction limit reached!
% 6.30/1.30 % (3861764)------------------------------
% 6.30/1.30 % (3861764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861764)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861764)Termination reason: Instruction limit
% 6.30/1.30 % (3861764)Termination phase: Saturation
% 6.30/1.30 % (3861764)Time elapsed: 0.222 s
% 6.30/1.30 % (3861764)Peak memory usage: 15 MB
% 6.30/1.30 % (3861764)Instructions burned: 316 (million)
% 6.30/1.30 % (3861778)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3869361441:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 6.30/1.30 % (3861780)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=951435750:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.30/1.30 % (3861781)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2988304968:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.30/1.30 % (3861771)Refutation not found, incomplete strategy
% 6.30/1.30 % (3861771)------------------------------
% 6.30/1.30 % (3861771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861771)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861771)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.30 % (3861771)Time elapsed: 0.132 s
% 6.30/1.30 % (3861771)Peak memory usage: 15 MB
% 6.30/1.30 % (3861771)Instructions burned: 172 (million)
% 6.30/1.30 % (3861771)------------------------------
% 6.30/1.30 % (3861771)------------------------------
% 6.30/1.30 % (3861781)Instruction limit reached!
% 6.30/1.30 % (3861781)------------------------------
% 6.30/1.30 % (3861781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861781)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861781)Termination reason: Instruction limit
% 6.30/1.30 % (3861781)Termination phase: Property scanning
% 6.30/1.30 % (3861781)Time elapsed: 0.025 s
% 6.30/1.30 % (3861781)Peak memory usage: 10 MB
% 6.30/1.30 % (3861781)Instructions burned: 32 (million)
% 6.30/1.30 % (3861780)Instruction limit reached!
% 6.30/1.30 % (3861780)------------------------------
% 6.30/1.30 % (3861780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861780)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861780)Termination reason: Instruction limit
% 6.30/1.30 % (3861780)Termination phase: Property scanning
% 6.30/1.30 % (3861780)Time elapsed: 0.047 s
% 6.30/1.30 % (3861780)Peak memory usage: 11 MB
% 6.30/1.30 % (3861780)Instructions burned: 52 (million)
% 6.30/1.30 % (3861778)Instruction limit reached!
% 6.30/1.30 % (3861778)------------------------------
% 6.30/1.30 % (3861778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.30 % (3861778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.30 % (3861778)CaDiCaL version: 2.1.3
% 6.30/1.30 % (3861778)Termination reason: Instruction limit
% 6.30/1.30 % (3861778)Termination phase: Property scanning
% 6.81/1.47 % (3861778)Time elapsed: 0.053 s
% 6.81/1.47 % (3861778)Peak memory usage: 11 MB
% 6.81/1.47 % (3861778)Instructions burned: 68 (million)
% 6.81/1.47 % (3861785)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3967393882:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.81/1.47 % (3861786)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=962569047:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.81/1.47 % (3861773)Instruction limit reached!
% 6.81/1.47 % (3861773)------------------------------
% 6.81/1.47 % (3861773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.47 % (3861773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.47 % (3861773)CaDiCaL version: 2.1.3
% 6.81/1.47 % (3861773)Termination reason: Instruction limit
% 6.81/1.47 % (3861773)Termination phase: Saturation
% 6.81/1.47 % (3861773)Time elapsed: 0.161 s
% 6.81/1.47 % (3861773)Peak memory usage: 14 MB
% 6.81/1.47 % (3861773)Instructions burned: 200 (million)
% 6.81/1.47 % (3861788)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.81/1.47 % (3861788)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3845538565:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 6.81/1.47 % (3861787)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1003349542:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 6.81/1.47 % (3861786)Instruction limit reached!
% 6.81/1.47 % (3861786)------------------------------
% 6.81/1.47 % (3861786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.47 % (3861786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.47 % (3861786)CaDiCaL version: 2.1.3
% 6.81/1.47 % (3861786)Termination reason: Instruction limit
% 6.81/1.47 % (3861786)Termination phase: Property scanning
% 6.81/1.47 % (3861786)Time elapsed: 0.028 s
% 6.81/1.47 % (3861786)Peak memory usage: 10 MB
% 6.81/1.47 % (3861786)Instructions burned: 34 (million)
% 6.81/1.47 % (3861791)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2235913753:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 6.81/1.47 % (3861794)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1812186540:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 6.81/1.47 % (3861787)Instruction limit reached!
% 6.81/1.47 % (3861787)------------------------------
% 6.81/1.47 % (3861787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.47 % (3861787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.47 % (3861787)CaDiCaL version: 2.1.3
% 6.81/1.47 % (3861787)Termination reason: Instruction limit
% 6.81/1.47 % (3861787)Termination phase: Property scanning
% 6.81/1.47 % (3861787)Time elapsed: 0.053 s
% 6.81/1.47 % (3861787)Peak memory usage: 11 MB
% 6.81/1.47 % (3861787)Instructions burned: 68 (million)
% 6.81/1.47 % (3861785)Instruction limit reached!
% 6.81/1.47 % (3861785)------------------------------
% 6.81/1.47 % (3861785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.47 % (3861785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.47 % (3861785)CaDiCaL version: 2.1.3
% 6.81/1.47 % (3861785)Termination reason: Instruction limit
% 6.81/1.47 % (3861785)Termination phase: Saturation
% 6.81/1.47 % (3861785)Time elapsed: 0.111 s
% 6.81/1.47 % (3861785)Peak memory usage: 13 MB
% 6.81/1.47 % (3861785)Instructions burned: 137 (million)
% 6.81/1.47 % (3861797)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1219021347:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 6.81/1.47 % (3861794)Instruction limit reached!
% 6.81/1.47 % (3861794)------------------------------
% 6.81/1.47 % (3861794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.47 % (3861794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.47 % (3861794)CaDiCaL version: 2.1.3
% 6.81/1.47 % (3861794)Termination reason: Instruction limit
% 6.81/1.47 % (3861794)Termination phase: Saturation
% 6.81/1.47 % (3861794)Time elapsed: 0.050 s
% 6.81/1.47 % (3861794)Peak memory usage: 12 MB
% 7.72/1.66 % (3861794)Instructions burned: 96 (million)
% 7.72/1.66 % (3861798)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=609215696:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 7.72/1.66 % (3861767)Instruction limit reached!
% 7.72/1.66 % (3861767)------------------------------
% 7.72/1.66 % (3861767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (3861767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (3861767)CaDiCaL version: 2.1.3
% 7.72/1.66 % (3861767)Termination reason: Instruction limit
% 7.72/1.66 % (3861767)Termination phase: Saturation
% 7.72/1.66 % (3861767)Time elapsed: 0.376 s
% 7.72/1.66 % (3861767)Peak memory usage: 20 MB
% 7.72/1.66 % (3861767)Instructions burned: 853 (million)
% 7.72/1.66 % (3861797)Refutation not found, incomplete strategy
% 7.72/1.66 % (3861797)------------------------------
% 7.72/1.66 % (3861797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (3861797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (3861797)CaDiCaL version: 2.1.3
% 7.72/1.66 % (3861797)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.66 % (3861797)Time elapsed: 0.038 s
% 7.72/1.66 % (3861797)Peak memory usage: 13 MB
% 7.72/1.66 % (3861797)Instructions burned: 47 (million)
% 7.72/1.66 % (3861797)------------------------------
% 7.72/1.66 % (3861797)------------------------------
% 7.72/1.66 % (3861800)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4125115614:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 7.72/1.66 % (3861802)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2278694874:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.72/1.66 % (3861788)Instruction limit reached!
% 7.72/1.66 % (3861788)------------------------------
% 7.72/1.66 % (3861788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (3861788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (3861788)CaDiCaL version: 2.1.3
% 7.72/1.66 % (3861788)Termination reason: Instruction limit
% 7.72/1.66 % (3861788)Termination phase: Saturation
% 7.72/1.66 % (3861788)Time elapsed: 0.148 s
% 7.72/1.66 % (3861788)Peak memory usage: 14 MB
% 7.72/1.66 % (3861788)Instructions burned: 180 (million)
% 7.72/1.66 % (3861804)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3581394173:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 7.72/1.66 % (3861806)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3079662623:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 7.72/1.66 % (3861802)Instruction limit reached!
% 7.72/1.66 % (3861802)------------------------------
% 7.72/1.66 % (3861802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (3861802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (3861802)CaDiCaL version: 2.1.3
% 7.72/1.66 % (3861802)Termination reason: Instruction limit
% 7.72/1.66 % (3861802)Termination phase: Saturation
% 7.72/1.66 % (3861802)Time elapsed: 0.058 s
% 7.72/1.66 % (3861802)Peak memory usage: 13 MB
% 7.72/1.66 % (3861802)Instructions burned: 130 (million)
% 7.72/1.66 % (3861804)Instruction limit reached!
% 7.72/1.66 % (3861804)------------------------------
% 7.72/1.66 % (3861804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.72/1.66 % (3861804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.72/1.66 % (3861804)CaDiCaL version: 2.1.3
% 7.72/1.66 % (3861804)Termination reason: Instruction limit
% 7.72/1.66 % (3861804)Termination phase: Property scanning
% 7.72/1.66 % (3861804)Time elapsed: 0.035 s
% 7.72/1.66 % (3861804)Peak memory usage: 11 MB
% 7.72/1.66 % (3861804)Instructions burned: 44 (million)
% 7.72/1.66 % (3861809)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1361199602:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 7.72/1.66 % (3861810)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1792084119:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 7.72/1.66 % (3861791)Instruction limit reached!
% 7.72/1.66 % (3861791)------------------------------
% 7.72/1.66 % (3861791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861791)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861791)Termination reason: Instruction limit
% 8.48/1.80 % (3861791)Termination phase: Saturation
% 8.48/1.80 % (3861791)Time elapsed: 0.210 s
% 8.48/1.80 % (3861791)Peak memory usage: 15 MB
% 8.48/1.80 % (3861791)Instructions burned: 246 (million)
% 8.48/1.80 % (3861813)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3781413268:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 8.48/1.80 % (3861813)Instruction limit reached!
% 8.48/1.80 % (3861813)------------------------------
% 8.48/1.80 % (3861813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861813)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861813)Termination reason: Instruction limit
% 8.48/1.80 % (3861813)Termination phase: Function definition elimination
% 8.48/1.80 % (3861813)Time elapsed: 0.031 s
% 8.48/1.80 % (3861813)Peak memory usage: 11 MB
% 8.48/1.80 % (3861813)Instructions burned: 66 (million)
% 8.48/1.80 % (3861810)Instruction limit reached!
% 8.48/1.80 % (3861810)------------------------------
% 8.48/1.80 % (3861810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861810)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861810)Termination reason: Instruction limit
% 8.48/1.80 % (3861810)Termination phase: Saturation
% 8.48/1.80 % (3861810)Time elapsed: 0.073 s
% 8.48/1.80 % (3861810)Peak memory usage: 12 MB
% 8.48/1.80 % (3861810)Instructions burned: 95 (million)
% 8.48/1.80 % (3861815)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3222518275:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 8.48/1.80 % (3861806)Refutation not found, incomplete strategy
% 8.48/1.80 % (3861806)------------------------------
% 8.48/1.80 % (3861806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861806)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861806)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.80 % (3861806)Time elapsed: 0.166 s
% 8.48/1.80 % (3861806)Peak memory usage: 16 MB
% 8.48/1.80 % (3861806)Instructions burned: 197 (million)
% 8.48/1.80 % (3861806)------------------------------
% 8.48/1.80 % (3861806)------------------------------
% 8.48/1.80 % (3861817)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1349596458:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 8.48/1.80 % (3861809)Instruction limit reached!
% 8.48/1.80 % (3861809)------------------------------
% 8.48/1.80 % (3861809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861809)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861809)Termination reason: Instruction limit
% 8.48/1.80 % (3861809)Termination phase: Saturation
% 8.48/1.80 % (3861809)Time elapsed: 0.160 s
% 8.48/1.80 % (3861809)Peak memory usage: 18 MB
% 8.48/1.80 % (3861809)Instructions burned: 451 (million)
% 8.48/1.80 % (3861821)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3069174629:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/375Mi)
% 8.48/1.80 % (3861823)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2569265866:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/495Mi)
% 8.48/1.80 % (3861815)Instruction limit reached!
% 8.48/1.80 % (3861815)------------------------------
% 8.48/1.80 % (3861815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.80 % (3861815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.80 % (3861815)CaDiCaL version: 2.1.3
% 8.48/1.80 % (3861815)Termination reason: Instruction limit
% 9.33/1.99 % (3861815)Termination phase: Saturation
% 9.33/1.99 % (3861815)Time elapsed: 0.083 s
% 9.33/1.99 % (3861815)Peak memory usage: 12 MB
% 9.33/1.99 % (3861815)Instructions burned: 106 (million)
% 9.33/1.99 % (3861827)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2287499791:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 9.33/1.99 % (3861827)Instruction limit reached!
% 9.33/1.99 % (3861827)------------------------------
% 9.33/1.99 % (3861827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861827)CaDiCaL version: 2.1.3
% 9.33/1.99 % (3861827)Termination reason: Instruction limit
% 9.33/1.99 % (3861827)Termination phase: Property scanning
% 9.33/1.99 % (3861827)Time elapsed: 0.032 s
% 9.33/1.99 % (3861827)Peak memory usage: 10 MB
% 9.33/1.99 % (3861827)Instructions burned: 34 (million)
% 9.33/1.99 % (3861831)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3453628701:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/91Mi)
% 9.33/1.99 % (3861823)Instruction limit reached!
% 9.33/1.99 % (3861823)------------------------------
% 9.33/1.99 % (3861823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861823)CaDiCaL version: 2.1.3
% 9.33/1.99 % (3861823)Termination reason: Instruction limit
% 9.33/1.99 % (3861823)Termination phase: Saturation
% 9.33/1.99 % (3861823)Time elapsed: 0.139 s
% 9.33/1.99 % (3861823)Peak memory usage: 17 MB
% 9.33/1.99 % (3861823)Instructions burned: 507 (million)
% 9.33/1.99 % (3861834)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3632984381:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 9.33/1.99 % (3861800)Instruction limit reached!
% 9.33/1.99 % (3861800)------------------------------
% 9.33/1.99 % (3861800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861800)CaDiCaL version: 2.1.3
% 9.33/1.99 % (3861800)Termination reason: Instruction limit
% 9.33/1.99 % (3861800)Termination phase: Saturation
% 9.33/1.99 % (3861800)Time elapsed: 0.429 s
% 9.33/1.99 % (3861800)Peak memory usage: 17 MB
% 9.33/1.99 % (3861800)Instructions burned: 516 (million)
% 9.33/1.99 % (3861834)Instruction limit reached!
% 9.33/1.99 % (3861834)------------------------------
% 9.33/1.99 % (3861834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861834)CaDiCaL version: 2.1.3
% 9.33/1.99 % (3861834)Termination reason: Instruction limit
% 9.33/1.99 % (3861834)Termination phase: Saturation
% 9.33/1.99 % (3861834)Time elapsed: 0.029 s
% 9.33/1.99 % (3861834)Peak memory usage: 13 MB
% 9.33/1.99 % (3861834)Instructions burned: 66 (million)
% 9.33/1.99 % (3861837)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2868331028:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 9.33/1.99 % (3861831)Instruction limit reached!
% 9.33/1.99 % (3861831)------------------------------
% 9.33/1.99 % (3861831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861831)CaDiCaL version: 2.1.3
% 9.33/1.99 % (3861831)Termination reason: Instruction limit
% 9.33/1.99 % (3861831)Termination phase: Property scanning
% 9.33/1.99 % (3861831)Time elapsed: 0.072 s
% 9.33/1.99 % (3861831)Peak memory usage: 12 MB
% 9.33/1.99 % (3861831)Instructions burned: 92 (million)
% 9.33/1.99 % (3861838)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1112860705:i=338:bd=all:ins=4:rtra=on_2986 on theBenchmark for (2986ds/338Mi)
% 9.33/1.99 % (3861837)Instruction limit reached!
% 9.33/1.99 % (3861837)------------------------------
% 9.33/1.99 % (3861837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.33/1.99 % (3861837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/1.99 % (3861837)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861837)Termination reason: Instruction limit
% 12.06/2.09 % (3861837)Termination phase: Property scanning
% 12.06/2.09 % (3861837)Time elapsed: 0.012 s
% 12.06/2.09 % (3861837)Peak memory usage: 10 MB
% 12.06/2.09 % (3861837)Instructions burned: 25 (million)
% 12.06/2.09 % (3861842)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 12.06/2.09 % (3861742)Instruction limit reached!
% 12.06/2.09 % (3861742)------------------------------
% 12.06/2.09 % (3861742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.06/2.09 % (3861742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.09 % (3861742)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861742)Termination reason: Instruction limit
% 12.06/2.09 % (3861742)Termination phase: Saturation
% 12.06/2.09 % (3861742)Time elapsed: 1.057 s
% 12.06/2.09 % (3861742)Peak memory usage: 21 MB
% 12.06/2.09 % (3861742)Instructions burned: 1241 (million)
% 12.06/2.09 % (3861842)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3633113434:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2986 on theBenchmark for (2986ds/137Mi)
% 12.06/2.09 % (3861840)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3282478462:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/28Mi)
% 12.06/2.09 % (3861840)Instruction limit reached!
% 12.06/2.09 % (3861840)------------------------------
% 12.06/2.09 % (3861840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.06/2.09 % (3861840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.09 % (3861840)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861840)Termination reason: Instruction limit
% 12.06/2.09 % (3861840)Termination phase: Property scanning
% 12.06/2.09 % (3861840)Time elapsed: 0.026 s
% 12.06/2.09 % (3861840)Peak memory usage: 10 MB
% 12.06/2.09 % (3861840)Instructions burned: 28 (million)
% 12.06/2.09 % (3861845)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3771167381:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 12.06/2.09 % (3861842)Instruction limit reached!
% 12.06/2.09 % (3861842)------------------------------
% 12.06/2.09 % (3861842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.06/2.09 % (3861842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.09 % (3861842)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861842)Termination reason: Instruction limit
% 12.06/2.09 % (3861842)Termination phase: Saturation
% 12.06/2.09 % (3861842)Time elapsed: 0.064 s
% 12.06/2.09 % (3861842)Peak memory usage: 12 MB
% 12.06/2.09 % (3861842)Instructions burned: 139 (million)
% 12.06/2.09 % (3861849)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2809224146:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 12.06/2.09 % (3861850)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 12.06/2.09 % (3861850)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1482621422:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/373Mi)
% 12.06/2.09 % (3861821)Instruction limit reached!
% 12.06/2.09 % (3861821)------------------------------
% 12.06/2.09 % (3861821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.06/2.09 % (3861821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.09 % (3861821)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861821)Termination reason: Instruction limit
% 12.06/2.09 % (3861821)Termination phase: Saturation
% 12.06/2.09 % (3861821)Time elapsed: 0.335 s
% 12.06/2.09 % (3861821)Peak memory usage: 14 MB
% 12.06/2.09 % (3861821)Instructions burned: 376 (million)
% 12.06/2.09 % (3861849)Refutation not found, incomplete strategy
% 12.06/2.09 % (3861849)------------------------------
% 12.06/2.09 % (3861849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.06/2.09 % (3861849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.06/2.09 % (3861849)CaDiCaL version: 2.1.3
% 12.06/2.09 % (3861849)Termination reason: Refutation not found, incomplete strategy
% 12.06/2.09 % (3861849)Time elapsed: 0.041 s
% 12.06/2.09 % (3861849)Peak memory usage: 13 MB
% 12.06/2.09 % (3861849)Instructions burned: 47 (million)
% 12.06/2.09 % (3861849)------------------------------
% 13.21/2.35 % (3861849)------------------------------
% 13.21/2.35 % (3861854)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1874265078:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 13.21/2.35 % (3861838)Instruction limit reached!
% 13.21/2.35 % (3861838)------------------------------
% 13.21/2.35 % (3861838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.35 % (3861838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.35 % (3861838)CaDiCaL version: 2.1.3
% 13.21/2.35 % (3861838)Termination reason: Instruction limit
% 13.21/2.35 % (3861838)Termination phase: Saturation
% 13.21/2.35 % (3861838)Time elapsed: 0.146 s
% 13.21/2.35 % (3861838)Peak memory usage: 16 MB
% 13.21/2.35 % (3861838)Instructions burned: 339 (million)
% 13.21/2.35 % (3861855)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3579708143:i=575:rtra=on_2985 on theBenchmark for (2985ds/575Mi)
% 13.21/2.35 % (3861857)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4011457279:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 13.21/2.35 % (3861854)Instruction limit reached!
% 13.21/2.35 % (3861854)------------------------------
% 13.21/2.35 % (3861854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.35 % (3861854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.35 % (3861854)CaDiCaL version: 2.1.3
% 13.21/2.35 % (3861854)Termination reason: Instruction limit
% 13.21/2.35 % (3861854)Termination phase: Property scanning
% 13.21/2.35 % (3861854)Time elapsed: 0.056 s
% 13.21/2.35 % (3861854)Peak memory usage: 12 MB
% 13.21/2.35 % (3861854)Instructions burned: 118 (million)
% 13.21/2.35 % (3861861)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=241211073:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2984 on theBenchmark for (2984ds/9840Mi)
% 13.21/2.35 % (3861798)Instruction limit reached!
% 13.21/2.35 % (3861798)------------------------------
% 13.21/2.35 % (3861798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.35 % (3861798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.35 % (3861798)CaDiCaL version: 2.1.3
% 13.21/2.35 % (3861798)Termination reason: Instruction limit
% 13.21/2.35 % (3861798)Termination phase: Saturation
% 13.21/2.35 % (3861798)Time elapsed: 0.734 s
% 13.21/2.35 % (3861798)Peak memory usage: 19 MB
% 13.21/2.35 % (3861798)Instructions burned: 875 (million)
% 13.21/2.35 % (3861855)Refutation not found, incomplete strategy
% 13.21/2.35 % (3861855)------------------------------
% 13.21/2.35 % (3861855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.35 % (3861855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.35 % (3861855)CaDiCaL version: 2.1.3
% 13.21/2.35 % (3861855)Termination reason: Refutation not found, incomplete strategy
% 13.21/2.35 % (3861855)Time elapsed: 0.104 s
% 13.21/2.35 % (3861855)Peak memory usage: 14 MB
% 13.21/2.35 % (3861855)Instructions burned: 129 (million)
% 13.21/2.35 % (3861855)------------------------------
% 13.21/2.35 % (3861855)------------------------------
% 13.21/2.35 % (3861864)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1863833710:i=421:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/421Mi)
% 13.21/2.35 % (3861866)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.21/2.35 % (3861866)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2711432358:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/270Mi)
% 13.21/2.35 % (3861845)Instruction limit reached!
% 13.21/2.35 % (3861845)------------------------------
% 13.21/2.35 % (3861845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.21/2.35 % (3861845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.35 % (3861845)CaDiCaL version: 2.1.3
% 13.21/2.35 % (3861845)Termination reason: Instruction limit
% 14.89/2.67 % (3861845)Termination phase: Saturation
% 14.89/2.67 % (3861845)Time elapsed: 0.269 s
% 14.89/2.67 % (3861845)Peak memory usage: 16 MB
% 14.89/2.67 % (3861845)Instructions burned: 340 (million)
% 14.89/2.67 % (3861864)Refutation not found, incomplete strategy
% 14.89/2.67 % (3861864)------------------------------
% 14.89/2.67 % (3861864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.67 % (3861864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.67 % (3861864)CaDiCaL version: 2.1.3
% 14.89/2.67 % (3861864)Termination reason: Refutation not found, incomplete strategy
% 14.89/2.67 % (3861864)Time elapsed: 0.053 s
% 14.89/2.67 % (3861864)Peak memory usage: 12 MB
% 14.89/2.67 % (3861864)Instructions burned: 65 (million)
% 14.89/2.67 % (3861864)------------------------------
% 14.89/2.67 % (3861864)------------------------------
% 14.89/2.67 % (3861869)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=83327344:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 14.89/2.67 % (3861870)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 14.89/2.67 % (3861870)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.89/2.67 % (3861870)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3793632191:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 14.89/2.67 % (3861869)Instruction limit reached!
% 14.89/2.67 % (3861869)------------------------------
% 14.89/2.67 % (3861869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.67 % (3861869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.67 % (3861869)CaDiCaL version: 2.1.3
% 14.89/2.67 % (3861869)Termination reason: Instruction limit
% 14.89/2.67 % (3861869)Termination phase: Property scanning
% 14.89/2.67 % (3861869)Time elapsed: 0.026 s
% 14.89/2.67 % (3861869)Peak memory usage: 10 MB
% 14.89/2.67 % (3861869)Instructions burned: 32 (million)
% 14.89/2.67 % (3861866)Refutation not found, incomplete strategy
% 14.89/2.67 % (3861866)------------------------------
% 14.89/2.67 % (3861866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.67 % (3861866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.67 % (3861866)CaDiCaL version: 2.1.3
% 14.89/2.67 % (3861866)Termination reason: Refutation not found, incomplete strategy
% 14.89/2.67 % (3861866)Time elapsed: 0.094 s
% 14.89/2.67 % (3861866)Peak memory usage: 14 MB
% 14.89/2.67 % (3861866)Instructions burned: 212 (million)
% 14.89/2.67 % (3861866)------------------------------
% 14.89/2.67 % (3861866)------------------------------
% 14.89/2.67 % (3861857)Instruction limit reached!
% 14.89/2.67 % (3861857)------------------------------
% 14.89/2.67 % (3861857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.67 % (3861857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.67 % (3861857)CaDiCaL version: 2.1.3
% 14.89/2.67 % (3861857)Termination reason: Instruction limit
% 14.89/2.67 % (3861857)Termination phase: Saturation
% 14.89/2.67 % (3861857)Time elapsed: 0.213 s
% 14.89/2.67 % (3861857)Peak memory usage: 14 MB
% 14.89/2.67 % (3861857)Instructions burned: 270 (million)
% 14.89/2.67 % (3861850)Instruction limit reached!
% 14.89/2.67 % (3861850)------------------------------
% 14.89/2.67 % (3861850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.67 % (3861850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.67 % (3861850)CaDiCaL version: 2.1.3
% 14.89/2.67 % (3861850)Termination reason: Instruction limit
% 14.89/2.67 % (3861850)Termination phase: Saturation
% 14.89/2.67 % (3861850)Time elapsed: 0.294 s
% 14.89/2.67 % (3861850)Peak memory usage: 14 MB
% 14.89/2.67 % (3861850)Instructions burned: 374 (million)
% 14.89/2.67 % (3861873)dis+10_2_sil=128000:si=on:random_seed=2398492656:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2982 on theBenchmark for (2982ds/339Mi)
% 14.89/2.67 % (3861876)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1754352375:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/136Mi)
% 14.89/2.67 % (3861875)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=16875524:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 16.24/2.98 % (3861874)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3738681063:i=111:add=on:fgj=on:rtra=on:fdi=1024_2982 on theBenchmark for (2982ds/111Mi)
% 16.24/2.98 % (3861876)Refutation not found, incomplete strategy
% 16.24/2.98 % (3861876)------------------------------
% 16.24/2.98 % (3861876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.98 % (3861876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.98 % (3861876)CaDiCaL version: 2.1.3
% 16.24/2.98 % (3861876)Termination reason: Refutation not found, incomplete strategy
% 16.24/2.98 % (3861876)Time elapsed: 0.054 s
% 16.24/2.98 % (3861876)Peak memory usage: 14 MB
% 16.24/2.98 % (3861876)Instructions burned: 126 (million)
% 16.24/2.98 % (3861876)------------------------------
% 16.24/2.98 % (3861876)------------------------------
% 16.24/2.98 % (3861881)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2217225327:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 16.24/2.98 % (3861874)Instruction limit reached!
% 16.24/2.98 % (3861874)------------------------------
% 16.24/2.98 % (3861874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.98 % (3861874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.98 % (3861874)CaDiCaL version: 2.1.3
% 16.24/2.98 % (3861874)Termination reason: Instruction limit
% 16.24/2.98 % (3861874)Termination phase: Saturation
% 16.24/2.98 % (3861874)Time elapsed: 0.090 s
% 16.24/2.98 % (3861874)Peak memory usage: 12 MB
% 16.24/2.98 % (3861874)Instructions burned: 112 (million)
% 16.24/2.98 % (3861875)Instruction limit reached!
% 16.24/2.98 % (3861875)------------------------------
% 16.24/2.98 % (3861875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.98 % (3861875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.98 % (3861875)CaDiCaL version: 2.1.3
% 16.24/2.98 % (3861875)Termination reason: Instruction limit
% 16.24/2.98 % (3861875)Termination phase: Saturation
% 16.24/2.98 % (3861875)Time elapsed: 0.104 s
% 16.24/2.98 % (3861875)Peak memory usage: 13 MB
% 16.24/2.98 % (3861875)Instructions burned: 122 (million)
% 16.24/2.98 % (3861884)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.24/2.98 % (3861883)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=330393197:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/1254Mi)
% 16.24/2.98 % (3861884)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=400620791:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2981 on theBenchmark for (2981ds/281Mi)
% 16.24/2.98 % (3861881)Instruction limit reached!
% 16.24/2.98 % (3861881)------------------------------
% 16.24/2.98 % (3861881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.98 % (3861881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.98 % (3861881)CaDiCaL version: 2.1.3
% 16.24/2.98 % (3861881)Termination reason: Instruction limit
% 16.24/2.98 % (3861881)Termination phase: Saturation
% 16.24/2.98 % (3861881)Time elapsed: 0.126 s
% 16.24/2.98 % (3861881)Peak memory usage: 15 MB
% 16.24/2.98 % (3861881)Instructions burned: 233 (million)
% 16.24/2.98 % (3861887)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3805167218:i=619:add=on:rtra=on_2980 on theBenchmark for (2980ds/619Mi)
% 16.24/2.98 % (3861873)Instruction limit reached!
% 16.24/2.98 % (3861873)------------------------------
% 16.24/2.98 % (3861873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.98 % (3861873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.98 % (3861873)CaDiCaL version: 2.1.3
% 16.24/2.98 % (3861873)Termination reason: Instruction limit
% 16.24/2.98 % (3861873)Termination phase: Saturation
% 16.24/2.98 % (3861873)Time elapsed: 0.240 s
% 16.24/2.98 % (3861873)Peak memory usage: 14 MB
% 16.24/2.98 % (3861873)Instructions burned: 339 (million)
% 16.24/2.98 % (3861884)Instruction limit reached!
% 20.01/3.30 % (3861884)------------------------------
% 20.01/3.30 % (3861884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.30 % (3861884)CaDiCaL version: 2.1.3
% 20.01/3.30 % (3861884)Termination reason: Instruction limit
% 20.01/3.30 % (3861884)Termination phase: Saturation
% 20.01/3.30 % (3861884)Time elapsed: 0.130 s
% 20.01/3.30 % (3861884)Peak memory usage: 14 MB
% 20.01/3.30 % (3861884)Instructions burned: 282 (million)
% 20.01/3.30 % (3861889)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2512023566:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 20.01/3.30 % (3861890)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3056069623:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/212Mi)
% 20.01/3.30 % (3861890)Refutation not found, incomplete strategy
% 20.01/3.30 % (3861890)------------------------------
% 20.01/3.30 % (3861890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.30 % (3861890)CaDiCaL version: 2.1.3
% 20.01/3.30 % (3861890)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.30 % (3861890)Time elapsed: 0.024 s
% 20.01/3.30 % (3861890)Peak memory usage: 13 MB
% 20.01/3.30 % (3861890)Instructions burned: 48 (million)
% 20.01/3.30 % (3861890)------------------------------
% 20.01/3.30 % (3861890)------------------------------
% 20.01/3.30 % (3861893)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2356084218:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/130Mi)
% 20.01/3.30 % (3861893)Refutation not found, incomplete strategy
% 20.01/3.30 % (3861893)------------------------------
% 20.01/3.30 % (3861893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.30 % (3861893)CaDiCaL version: 2.1.3
% 20.01/3.30 % (3861893)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.30 % (3861893)Time elapsed: 0.042 s
% 20.01/3.30 % (3861893)Peak memory usage: 13 MB
% 20.01/3.30 % (3861893)Instructions burned: 50 (million)
% 20.01/3.30 % (3861893)------------------------------
% 20.01/3.30 % (3861893)------------------------------
% 20.01/3.30 % (3861895)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3100268563:st=1.5:i=346:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/346Mi)
% 20.01/3.30 % (3861889)Refutation not found, incomplete strategy
% 20.01/3.30 % (3861889)------------------------------
% 20.01/3.30 % (3861889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.30 % (3861889)CaDiCaL version: 2.1.3
% 20.01/3.30 % (3861889)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.30 % (3861889)Time elapsed: 0.193 s
% 20.01/3.30 % (3861889)Peak memory usage: 14 MB
% 20.01/3.30 % (3861889)Instructions burned: 238 (million)
% 20.01/3.30 % (3861889)------------------------------
% 20.01/3.30 % (3861889)------------------------------
% 20.01/3.30 % (3861897)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2730270014:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2977 on theBenchmark for (2977ds/152Mi)
% 20.01/3.30 % (3861887)Instruction limit reached!
% 20.01/3.30 % (3861887)------------------------------
% 20.01/3.30 % (3861887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.30 % (3861887)CaDiCaL version: 2.1.3
% 20.01/3.30 % (3861887)Termination reason: Instruction limit
% 20.01/3.30 % (3861887)Termination phase: Saturation
% 20.01/3.30 % (3861887)Time elapsed: 0.265 s
% 20.01/3.30 % (3861887)Peak memory usage: 15 MB
% 20.01/3.30 % (3861887)Instructions burned: 621 (million)
% 20.01/3.30 % (3861899)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1654606266:i=75:ep=R:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/75Mi)
% 20.01/3.30 % (3861899)Instruction limit reached!
% 20.01/3.30 % (3861899)------------------------------
% 20.01/3.30 % (3861899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.30 % (3861899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861899)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861899)Termination reason: Instruction limit
% 23.11/3.92 % (3861899)Termination phase: Property scanning
% 23.11/3.92 % (3861899)Time elapsed: 0.059 s
% 23.11/3.92 % (3861899)Peak memory usage: 11 MB
% 23.11/3.92 % (3861899)Instructions burned: 75 (million)
% 23.11/3.92 % (3861895)Instruction limit reached!
% 23.11/3.92 % (3861895)------------------------------
% 23.11/3.92 % (3861895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.92 % (3861895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861895)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861895)Termination reason: Instruction limit
% 23.11/3.92 % (3861895)Termination phase: Saturation
% 23.11/3.92 % (3861895)Time elapsed: 0.183 s
% 23.11/3.92 % (3861895)Peak memory usage: 15 MB
% 23.11/3.92 % (3861895)Instructions burned: 347 (million)
% 23.11/3.92 % (3861897)Instruction limit reached!
% 23.11/3.92 % (3861897)------------------------------
% 23.11/3.92 % (3861897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.92 % (3861897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861897)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861897)Termination reason: Instruction limit
% 23.11/3.92 % (3861897)Termination phase: Saturation
% 23.11/3.92 % (3861897)Time elapsed: 0.123 s
% 23.11/3.92 % (3861897)Peak memory usage: 13 MB
% 23.11/3.92 % (3861897)Instructions burned: 153 (million)
% 23.11/3.92 % (3861902)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3897374160:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2976 on theBenchmark for (2976ds/148Mi)
% 23.11/3.92 % (3861901)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2000584113:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/387Mi)
% 23.11/3.92 % (3861904)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3280236008:i=161:piset=and:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/161Mi)
% 23.11/3.92 % (3861902)Instruction limit reached!
% 23.11/3.92 % (3861902)------------------------------
% 23.11/3.92 % (3861902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.92 % (3861902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861902)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861902)Termination reason: Instruction limit
% 23.11/3.92 % (3861902)Termination phase: Saturation
% 23.11/3.92 % (3861902)Time elapsed: 0.073 s
% 23.11/3.92 % (3861902)Peak memory usage: 13 MB
% 23.11/3.92 % (3861902)Instructions burned: 149 (million)
% 23.11/3.92 % (3861904)Instruction limit reached!
% 23.11/3.92 % (3861904)------------------------------
% 23.11/3.92 % (3861904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.92 % (3861904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861904)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861904)Termination reason: Instruction limit
% 23.11/3.92 % (3861904)Termination phase: Saturation
% 23.11/3.92 % (3861904)Time elapsed: 0.078 s
% 23.11/3.92 % (3861904)Peak memory usage: 14 MB
% 23.11/3.92 % (3861904)Instructions burned: 163 (million)
% 23.11/3.92 % (3861907)lrs+10_1_sil=128000:si=on:random_seed=1219948407:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/888Mi)
% 23.11/3.92 % (3861908)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=3802466060:i=136:add=on:ins=4:rtra=on:sup=off_2975 on theBenchmark for (2975ds/136Mi)
% 23.11/3.92 % (3861908)Instruction limit reached!
% 23.11/3.92 % (3861908)------------------------------
% 23.11/3.92 % (3861908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.92 % (3861908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.92 % (3861908)CaDiCaL version: 2.1.3
% 23.11/3.92 % (3861908)Termination reason: Instruction limit
% 23.11/3.92 % (3861908)Termination phase: Saturation
% 23.11/3.92 % (3861908)Time elapsed: 0.064 s
% 23.11/3.92 % (3861908)Peak memory usage: 13 MB
% 23.11/3.92 % (3861908)Instructions burned: 137 (million)
% 23.11/3.92 % (3861911)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=73931961:i=88:s2at=3:nm=2:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/88Mi)
% 23.11/3.92 % (3861911)Instruction limit reached!
% 23.11/3.92 % (3861911)------------------------------
% 26.25/4.13 % (3861911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861911)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861911)Termination reason: Instruction limit
% 26.25/4.13 % (3861911)Termination phase: Property scanning
% 26.25/4.13 % (3861911)Time elapsed: 0.056 s
% 26.25/4.13 % (3861911)Peak memory usage: 11 MB
% 26.25/4.13 % (3861911)Instructions burned: 90 (million)
% 26.25/4.13 % (3861913)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=703306853:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2973 on theBenchmark for (2973ds/93Mi)
% 26.25/4.13 % (3861901)Instruction limit reached!
% 26.25/4.13 % (3861901)------------------------------
% 26.25/4.13 % (3861901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861901)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861901)Termination reason: Instruction limit
% 26.25/4.13 % (3861901)Termination phase: Saturation
% 26.25/4.13 % (3861901)Time elapsed: 0.333 s
% 26.25/4.13 % (3861901)Peak memory usage: 16 MB
% 26.25/4.13 % (3861901)Instructions burned: 387 (million)
% 26.25/4.13 % (3861913)Instruction limit reached!
% 26.25/4.13 % (3861913)------------------------------
% 26.25/4.13 % (3861913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861913)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861913)Termination reason: Instruction limit
% 26.25/4.13 % (3861913)Termination phase: Saturation
% 26.25/4.13 % (3861913)Time elapsed: 0.042 s
% 26.25/4.13 % (3861913)Peak memory usage: 12 MB
% 26.25/4.13 % (3861913)Instructions burned: 94 (million)
% 26.25/4.13 % (3861915)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2308343663:i=2186:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/2186Mi)
% 26.25/4.13 % (3861916)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=584298170:s2a=on:i=240:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/240Mi)
% 26.25/4.13 % (3861883)Instruction limit reached!
% 26.25/4.13 % (3861883)------------------------------
% 26.25/4.13 % (3861883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861883)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861883)Termination reason: Instruction limit
% 26.25/4.13 % (3861883)Termination phase: Saturation
% 26.25/4.13 % (3861883)Time elapsed: 1.009 s
% 26.25/4.13 % (3861883)Peak memory usage: 20 MB
% 26.25/4.13 % (3861883)Instructions burned: 1255 (million)
% 26.25/4.13 % (3861919)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3506402308:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2971 on theBenchmark for (2971ds/805Mi)
% 26.25/4.13 % (3861870)Instruction limit reached!
% 26.25/4.13 % (3861870)------------------------------
% 26.25/4.13 % (3861870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861870)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861870)Termination reason: Instruction limit
% 26.25/4.13 % (3861870)Termination phase: Saturation
% 26.25/4.13 % (3861870)Time elapsed: 1.233 s
% 26.25/4.13 % (3861870)Peak memory usage: 22 MB
% 26.25/4.13 % (3861870)Instructions burned: 1440 (million)
% 26.25/4.13 % (3861916)Instruction limit reached!
% 26.25/4.13 % (3861916)------------------------------
% 26.25/4.13 % (3861916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.13 % (3861916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.13 % (3861916)CaDiCaL version: 2.1.3
% 26.25/4.13 % (3861916)Termination reason: Instruction limit
% 26.25/4.13 % (3861916)Termination phase: Saturation
% 26.25/4.13 % (3861916)Time elapsed: 0.200 s
% 26.25/4.13 % (3861916)Peak memory usage: 15 MB
% 26.25/4.13 % (3861916)Instructions burned: 240 (million)
% 26.25/4.13 % (3861921)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 26.25/4.13 % (3861922)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=215988354:i=355:av=off:fsr=off:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/355Mi)
% 27.58/4.31 % (3861921)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2689957633:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2970 on theBenchmark for (2970ds/391Mi)
% 27.58/4.31 % (3861922)Instruction limit reached!
% 27.58/4.31 % (3861922)------------------------------
% 27.58/4.31 % (3861922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.31 % (3861922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.31 % (3861922)CaDiCaL version: 2.1.3
% 27.58/4.31 % (3861922)Termination reason: Instruction limit
% 27.58/4.31 % (3861922)Termination phase: Saturation
% 27.58/4.31 % (3861922)Time elapsed: 0.240 s
% 27.58/4.31 % (3861922)Peak memory usage: 15 MB
% 27.58/4.31 % (3861922)Instructions burned: 356 (million)
% 27.58/4.31 % (3861907)Instruction limit reached!
% 27.58/4.31 % (3861907)------------------------------
% 27.58/4.31 % (3861907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.31 % (3861907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.31 % (3861907)CaDiCaL version: 2.1.3
% 27.58/4.31 % (3861907)Termination reason: Instruction limit
% 27.58/4.31 % (3861907)Termination phase: Saturation
% 27.58/4.31 % (3861907)Time elapsed: 0.753 s
% 27.58/4.31 % (3861907)Peak memory usage: 19 MB
% 27.58/4.31 % (3861907)Instructions burned: 889 (million)
% 27.58/4.31 % (3861925)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4162377189:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/314Mi)
% 27.58/4.31 % (3861925)Refutation not found, incomplete strategy
% 27.58/4.31 % (3861925)------------------------------
% 27.58/4.31 % (3861925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.31 % (3861925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.31 % (3861925)CaDiCaL version: 2.1.3
% 27.58/4.31 % (3861925)Termination reason: Refutation not found, incomplete strategy
% 27.58/4.31 % (3861925)Time elapsed: 0.029 s
% 27.58/4.31 % (3861925)Peak memory usage: 13 MB
% 27.58/4.31 % (3861925)Instructions burned: 54 (million)
% 27.58/4.31 % (3861925)------------------------------
% 27.58/4.31 % (3861925)------------------------------
% 27.58/4.31 % (3861926)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=745381169:s2a=on:i=251:fsr=off:rtra=on_2967 on theBenchmark for (2967ds/251Mi)
% 27.58/4.31 % (3861921)Instruction limit reached!
% 27.58/4.31 % (3861921)------------------------------
% 27.58/4.31 % (3861921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.31 % (3861921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.31 % (3861921)CaDiCaL version: 2.1.3
% 27.58/4.31 % (3861921)Termination reason: Instruction limit
% 27.58/4.31 % (3861921)Termination phase: Saturation
% 27.58/4.31 % (3861921)Time elapsed: 0.323 s
% 27.58/4.31 % (3861921)Peak memory usage: 15 MB
% 27.58/4.31 % (3861921)Instructions burned: 392 (million)
% 27.58/4.31 % (3861928)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=4179017352:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2967 on theBenchmark for (2967ds/2470Mi)
% 27.58/4.31 % (3861931)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=434833578:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2966 on theBenchmark for (2966ds/673Mi)
% 27.58/4.31 % (3861926)Instruction limit reached!
% 27.58/4.31 % (3861926)------------------------------
% 27.58/4.31 % (3861926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.31 % (3861926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.31 % (3861926)CaDiCaL version: 2.1.3
% 27.58/4.31 % (3861926)Termination reason: Instruction limit
% 27.58/4.31 % (3861926)Termination phase: Saturation
% 27.58/4.31 % (3861926)Time elapsed: 0.208 s
% 27.58/4.31 % (3861926)Peak memory usage: 15 MB
% 27.58/4.31 % (3861926)Instructions burned: 251 (million)
% 27.58/4.31 % (3861933)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2224707301:i=116:ep=RSTC:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/116Mi)
% 27.58/4.31 % (3861919)Instruction limit reached!
% 27.58/4.31 % (3861919)------------------------------
% 28.68/4.57 % (3861919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861919)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861919)Termination reason: Instruction limit
% 28.68/4.57 % (3861919)Termination phase: Saturation
% 28.68/4.57 % (3861919)Time elapsed: 0.666 s
% 28.68/4.57 % (3861919)Peak memory usage: 19 MB
% 28.68/4.57 % (3861919)Instructions burned: 805 (million)
% 28.68/4.57 % (3861933)Instruction limit reached!
% 28.68/4.57 % (3861933)------------------------------
% 28.68/4.57 % (3861933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861933)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861933)Termination reason: Instruction limit
% 28.68/4.57 % (3861933)Termination phase: Property scanning
% 28.68/4.57 % (3861933)Time elapsed: 0.078 s
% 28.68/4.57 % (3861933)Peak memory usage: 12 MB
% 28.68/4.57 % (3861933)Instructions burned: 116 (million)
% 28.68/4.57 % (3861935)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1368665356:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2964 on theBenchmark for (2964ds/270Mi)
% 28.68/4.57 % (3861936)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1341196122:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/30Mi)
% 28.68/4.57 % (3861936)Instruction limit reached!
% 28.68/4.57 % (3861936)------------------------------
% 28.68/4.57 % (3861936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861936)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861936)Termination reason: Instruction limit
% 28.68/4.57 % (3861936)Termination phase: SInE selection
% 28.68/4.57 % (3861936)Time elapsed: 0.017 s
% 28.68/4.57 % (3861936)Peak memory usage: 10 MB
% 28.68/4.57 % (3861936)Instructions burned: 30 (million)
% 28.68/4.57 % (3861939)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 28.68/4.57 % (3861939)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=769240933:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2963 on theBenchmark for (2963ds/39Mi)
% 28.68/4.57 % (3861939)Instruction limit reached!
% 28.68/4.57 % (3861939)------------------------------
% 28.68/4.57 % (3861939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861939)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861939)Termination reason: Instruction limit
% 28.68/4.57 % (3861939)Termination phase: Property scanning
% 28.68/4.57 % (3861939)Time elapsed: 0.025 s
% 28.68/4.57 % (3861939)Peak memory usage: 10 MB
% 28.68/4.57 % (3861939)Instructions burned: 40 (million)
% 28.68/4.57 % (3861915)Instruction limit reached!
% 28.68/4.57 % (3861915)------------------------------
% 28.68/4.57 % (3861915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861915)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861915)Termination reason: Instruction limit
% 28.68/4.57 % (3861915)Termination phase: Saturation
% 28.68/4.57 % (3861915)Time elapsed: 0.986 s
% 28.68/4.57 % (3861915)Peak memory usage: 25 MB
% 28.68/4.57 % (3861915)Instructions burned: 2186 (million)
% 28.68/4.57 % (3861941)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1224903977:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/365Mi)
% 28.68/4.57 % (3861942)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4193609126:i=158:av=off:rtra=on_2962 on theBenchmark for (2962ds/158Mi)
% 28.68/4.57 % (3861931)Instruction limit reached!
% 28.68/4.57 % (3861931)------------------------------
% 28.68/4.57 % (3861931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861931)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861931)Termination reason: Instruction limit
% 28.68/4.57 % (3861931)Termination phase: Saturation
% 28.68/4.57 % (3861931)Time elapsed: 0.474 s
% 28.68/4.57 % (3861931)Peak memory usage: 18 MB
% 28.68/4.57 % (3861931)Instructions burned: 674 (million)
% 28.68/4.57 % (3861942)Instruction limit reached!
% 28.68/4.57 % (3861942)------------------------------
% 28.68/4.57 % (3861942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861942)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861942)Termination reason: Instruction limit
% 28.68/4.57 % (3861942)Termination phase: Saturation
% 28.68/4.57 % (3861942)Time elapsed: 0.078 s
% 28.68/4.57 % (3861942)Peak memory usage: 14 MB
% 28.68/4.57 % (3861942)Instructions burned: 159 (million)
% 28.68/4.57 % (3861945)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.68/4.57 % (3861945)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2669098778:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/252Mi)
% 28.68/4.57 % (3861935)Instruction limit reached!
% 28.68/4.57 % (3861935)------------------------------
% 28.68/4.57 % (3861935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861935)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861935)Termination reason: Instruction limit
% 28.68/4.57 % (3861935)Termination phase: Saturation
% 28.68/4.57 % (3861935)Time elapsed: 0.213 s
% 28.68/4.57 % (3861935)Peak memory usage: 14 MB
% 28.68/4.57 % (3861935)Instructions burned: 270 (million)
% 28.68/4.57 % (3861946)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2916453880:i=213:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/213Mi)
% 28.68/4.57 % (3861948)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=691204684:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2961 on theBenchmark for (2961ds/160Mi)
% 28.68/4.57 % (3861946)Refutation not found, incomplete strategy
% 28.68/4.57 % (3861946)------------------------------
% 28.68/4.57 % (3861946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861946)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861946)Termination reason: Refutation not found, incomplete strategy
% 28.68/4.57 % (3861946)Time elapsed: 0.036 s
% 28.68/4.57 % (3861946)Peak memory usage: 12 MB
% 28.68/4.57 % (3861946)Instructions burned: 65 (million)
% 28.68/4.57 % (3861946)------------------------------
% 28.68/4.57 % (3861946)------------------------------
% 28.68/4.57 % (3861951)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2915700634:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/763Mi)
% 28.68/4.57 % (3861945)Refutation not found, incomplete strategy
% 28.68/4.57 % (3861945)------------------------------
% 28.68/4.57 % (3861945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861945)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861945)Termination reason: Refutation not found, incomplete strategy
% 28.68/4.57 % (3861945)Time elapsed: 0.094 s
% 28.68/4.57 % (3861945)Peak memory usage: 13 MB
% 28.68/4.57 % (3861945)Instructions burned: 212 (million)
% 28.68/4.57 % (3861945)------------------------------
% 28.68/4.57 % (3861945)------------------------------
% 28.68/4.57 % (3861953)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 28.68/4.57 % (3861953)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=712089690:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2960 on theBenchmark for (2960ds/237Mi)
% 28.68/4.57 % (3861948)Refutation not found, incomplete strategy
% 28.68/4.57 % (3861948)------------------------------
% 28.68/4.57 % (3861948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861948)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861948)Termination reason: Refutation not found, incomplete strategy
% 28.68/4.57 % (3861948)Time elapsed: 0.112 s
% 28.68/4.57 % (3861948)Peak memory usage: 14 MB
% 28.68/4.57 % (3861948)Instructions burned: 138 (million)
% 28.68/4.57 % (3861948)------------------------------
% 28.68/4.57 % (3861948)------------------------------
% 28.68/4.57 % (3861955)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1160867651:s2a=on:i=386:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/386Mi)
% 28.68/4.57 % (3861941)Instruction limit reached!
% 28.68/4.57 % (3861941)------------------------------
% 28.68/4.57 % (3861941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861941)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861941)Termination reason: Instruction limit
% 28.68/4.57 % (3861941)Termination phase: Saturation
% 28.68/4.57 % (3861941)Time elapsed: 0.301 s
% 28.68/4.57 % (3861941)Peak memory usage: 17 MB
% 28.68/4.57 % (3861941)Instructions burned: 365 (million)
% 28.68/4.57 % (3861957)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2004400898:i=300:piset=and:nm=32:rtra=on_2959 on theBenchmark for (2959ds/300Mi)
% 28.68/4.57 % (3861953)Instruction limit reached!
% 28.68/4.57 % (3861953)------------------------------
% 28.68/4.57 % (3861953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.57 % (3861953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.57 % (3861953)CaDiCaL version: 2.1.3
% 28.68/4.57 % (3861953)Termination reason: Instruction limit
% 28.68/4.57 % (3861953)Termination phase: Saturation
% 28.68/4.57 % (3861953)Time elapsed: 0.216 s
% 28.68/4.57 % (3861953)Peak memory usage: 15 MB
% 28.68/4.57 % (3861953)Instructions burned: 238 (million)
% 28.68/4.57 % (3861955) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3861675-3861955"...
% 28.68/4.57 % (3861959)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2796537603:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/567Mi)
% 28.68/4.57 % (3861955)...printing done.
% 28.68/4.57 % (3861955)Refutation found. Thanks to Tanya!
% 28.68/4.57 % SZS status Theorem for theBenchmark
% 28.68/4.57 % SZS output start Proof for theBenchmark
% See solution above
% 28.68/4.58 % (3861955)------------------------------
% 28.68/4.58 % (3861955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.68/4.58 % (3861955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.68/4.58 % (3861955)CaDiCaL version: 2.1.3
% 28.68/4.58 % (3861955)Termination reason: Refutation
% 28.68/4.58 % (3861955)Time elapsed: 0.217 s
% 28.68/4.58 % (3861955)Peak memory usage: 15 MB
% 28.68/4.58 % (3861955)Instructions burned: 314 (million)
% 28.68/4.58 % (3861675)Success in time 4.235 s
% 28.68/4.58 % Vampire exiting
%------------------------------------------------------------------------------