%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG255^1 : 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 : n005.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 07:45:13 AM UTC 2026
% Result : Theorem 0.63s 0.39s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 79 ( 20 unt; 0 typ; 8 def)
% Number of atoms : 916 ( 301 equ; 0 cnn)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 771 ( 174 ~; 171 |; 73 &; 258 @)
% ( 14 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 160 ( 157 usr; 139 con; 0-4 aty)
% Number of variables : 83 ( 0 sgn 63 !; 20 ?; 83 :)
% 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_125,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_126,type,
vIFF: $o > $o > $o ).
thf(func_def_127,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
db0:
!>[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,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
sK0: subst ).
thf(func_def_134,type,
sK1: subst ).
thf(func_def_135,type,
sK2: subst ).
thf(func_def_136,type,
sK3: subst ).
thf(func_def_137,type,
sK4: subst ).
thf(func_def_138,type,
sK5: subst ).
thf(func_def_139,type,
sK6: subst ).
thf(func_def_140,type,
sK7: term ).
thf(func_def_141,type,
sK8: subst ).
thf(func_def_142,type,
sK9: term ).
thf(func_def_143,type,
sK10: subst ).
thf(func_def_144,type,
sK11: subst ).
thf(func_def_145,type,
sK12: subst ).
thf(func_def_146,type,
sK13: subst ).
thf(func_def_147,type,
sK14: term ).
thf(func_def_148,type,
sK15: subst ).
thf(func_def_149,type,
sK16: subst ).
thf(func_def_150,type,
sK17: term ).
thf(f3,axiom,
! [X0: term] :
( ( ( sub @ X0 @ id )
= X0 )
= axvarid ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axvarid) ).
thf(f5,axiom,
( axclos
= ( ! [X1: subst,X2: subst,X0: term] :
( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axclos) ).
thf(f52,axiom,
( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X0: term,X2: subst] :
( ( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) )
= termmset ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',termmset) ).
thf(f53,axiom,
( axapp
=> ( ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> termmset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= termmset_gthm ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',termmset_gthm) ).
thf(f114,conjecture,
termmset_gthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ termmset_gthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f129,plain,
( axclos
= ( ! [X0: subst,X1: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X0 ) @ X1 )
= ( sub @ X2 @ ( comp @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f130,plain,
( ( axclos = $true )
<=> ! [X1: subst,X2: term,X0: subst] :
( ( sub @ ( sub @ X2 @ X0 ) @ X1 )
= ( sub @ X2 @ ( comp @ X0 @ X1 ) ) ) ),
inference(fool_elimination,[],[f129]) ).
thf(f175,plain,
~ termmset_gthm,
inference(rectify,[],[f115]) ).
thf(f176,plain,
termmset_gthm != $true,
inference(fool_elimination,[],[f175]) ).
thf(f205,plain,
( axapp
=> ( ( axvarcons
=> ( axvarid
=> ( axabs
=> ( axclos
=> ( axidl
=> ( axshiftcons
=> ( axassoc
=> ( axmap
=> ( axidr
=> ( axvarshift
=> ( axscons
=> ( ulamvar1
=> ( ulamvarsh
=> ( ulamvarind
=> ( apinj1
=> ( apinj2
=> ( laminj
=> ( shinj
=> ( lamnotap
=> ( apnotvar
=> ( lamnotvar
=> ( induction
=> ( pushprop
=> ( induction2lem
=> ( induction2
=> ( substmonoid
=> termmset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= termmset_gthm ) ),
inference(rectify,[],[f53]) ).
thf(f206,plain,
( ( ( axapp = $true )
=> ( ( axvarcons = $true )
=> ( ( axvarid = $true )
=> ( ( axabs = $true )
=> ( ( axclos = $true )
=> ( ( axidl = $true )
=> ( ( axshiftcons = $true )
=> ( ( axassoc = $true )
=> ( ( axmap = $true )
=> ( ( axidr = $true )
=> ( ( axvarshift = $true )
=> ( ( axscons = $true )
=> ( ( ulamvar1 = $true )
=> ( ( ulamvarsh = $true )
=> ( ( ulamvarind = $true )
=> ( ( apinj1 = $true )
=> ( ( apinj2 = $true )
=> ( ( laminj = $true )
=> ( ( shinj = $true )
=> ( ( lamnotap = $true )
=> ( ( apnotvar = $true )
=> ( ( lamnotvar = $true )
=> ( ( induction = $true )
=> ( ( pushprop = $true )
=> ( ( induction2lem = $true )
=> ( ( induction2 = $true )
=> ( ( substmonoid = $true )
=> ( termmset = $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
<=> ( termmset_gthm = $true ) ),
inference(fool_elimination,[],[f205]) ).
thf(f278,plain,
( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X2: term,X3: subst] :
( ( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) )
= termmset ) ),
inference(rectify,[],[f52]) ).
thf(f279,plain,
( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X3: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ) )
<=> ( termmset = $true ) ),
inference(fool_elimination,[],[f278]) ).
thf(f311,plain,
( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
<=> ( axvarid = $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f317,plain,
termmset_gthm != $true,
inference(flattening,[],[f176]) ).
thf(f318,plain,
( ( ( termmset = $true )
| ( substmonoid != $true )
| ( induction2 != $true )
| ( induction2lem != $true )
| ( pushprop != $true )
| ( induction != $true )
| ( lamnotvar != $true )
| ( apnotvar != $true )
| ( lamnotap != $true )
| ( shinj != $true )
| ( laminj != $true )
| ( apinj2 != $true )
| ( apinj1 != $true )
| ( ulamvarind != $true )
| ( ulamvarsh != $true )
| ( ulamvar1 != $true )
| ( axscons != $true )
| ( axvarshift != $true )
| ( axidr != $true )
| ( axmap != $true )
| ( axassoc != $true )
| ( axshiftcons != $true )
| ( axidl != $true )
| ( axclos != $true )
| ( axabs != $true )
| ( axvarid != $true )
| ( axvarcons != $true )
| ( axapp != $true ) )
<=> ( termmset_gthm = $true ) ),
inference(ennf_transformation,[],[f206]) ).
thf(f319,plain,
( ( ( axclos != $true )
| ( ulamvarind != $true )
| ( pushprop != $true )
| ( axidl != $true )
| ( axmap != $true )
| ( axassoc != $true )
| ( laminj != $true )
| ( lamnotap != $true )
| ( apinj2 != $true )
| ( axidr != $true )
| ( ulamvarsh != $true )
| ( induction2lem != $true )
| ( axvarshift != $true )
| ( ulamvar1 != $true )
| ( axvarcons != $true )
| ( axapp != $true )
| ( axvarid != $true )
| ( axshiftcons != $true )
| ( apnotvar != $true )
| ( shinj != $true )
| ( axscons != $true )
| ( induction != $true )
| ( apinj1 != $true )
| ( lamnotvar != $true )
| ( induction2 != $true )
| ( termmset = $true )
| ( axabs != $true )
| ( substmonoid != $true ) )
<=> ( termmset_gthm = $true ) ),
inference(flattening,[],[f318]) ).
thf(f327,plain,
( ( ( axclos = $true )
| ? [X1: subst,X2: term,X0: subst] :
( ( sub @ ( sub @ X2 @ X0 ) @ X1 )
!= ( sub @ X2 @ ( comp @ X0 @ X1 ) ) ) )
& ( ! [X1: subst,X2: term,X0: subst] :
( ( sub @ ( sub @ X2 @ X0 ) @ X1 )
= ( sub @ X2 @ ( comp @ X0 @ X1 ) ) )
| ( axclos != $true ) ) ),
inference(nnf_transformation,[],[f130]) ).
thf(f328,plain,
( ( ( axclos = $true )
| ? [X0: subst,X1: term,X2: subst] :
( ( sub @ X1 @ ( comp @ X2 @ X0 ) )
!= ( sub @ ( sub @ X1 @ X2 ) @ X0 ) ) )
& ( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( sub @ X4 @ X5 ) @ X3 )
= ( sub @ X4 @ ( comp @ X5 @ X3 ) ) )
| ( axclos != $true ) ) ),
inference(rectify,[],[f327]) ).
thf(f329,plain,
( ( ( axclos = $true )
| ( ( sub @ sK7 @ ( comp @ sK8 @ sK6 ) )
!= ( sub @ ( sub @ sK7 @ sK8 ) @ sK6 ) ) )
& ( ! [X3: subst,X4: term,X5: subst] :
( ( sub @ ( sub @ X4 @ X5 ) @ X3 )
= ( sub @ X4 @ ( comp @ X5 @ X3 ) ) )
| ( axclos != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f328]) ).
thf(f330,plain,
( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
| ( axvarid != $true ) )
& ( ( axvarid = $true )
| ? [X0: term] :
( ( sub @ X0 @ id )
!= X0 ) ) ),
inference(nnf_transformation,[],[f311]) ).
thf(f331,plain,
( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
| ( axvarid != $true ) )
& ( ( axvarid = $true )
| ? [X1: term] :
( ( sub @ X1 @ id )
!= X1 ) ) ),
inference(rectify,[],[f330]) ).
thf(f332,plain,
( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
| ( axvarid != $true ) )
& ( ( axvarid = $true )
| ( sK9
!= ( sub @ sK9 @ id ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9)],[f331]) ).
thf(f333,plain,
( ( ( axclos != $true )
| ( ulamvarind != $true )
| ( pushprop != $true )
| ( axidl != $true )
| ( axmap != $true )
| ( axassoc != $true )
| ( laminj != $true )
| ( lamnotap != $true )
| ( apinj2 != $true )
| ( axidr != $true )
| ( ulamvarsh != $true )
| ( induction2lem != $true )
| ( axvarshift != $true )
| ( ulamvar1 != $true )
| ( axvarcons != $true )
| ( axapp != $true )
| ( axvarid != $true )
| ( axshiftcons != $true )
| ( apnotvar != $true )
| ( shinj != $true )
| ( axscons != $true )
| ( induction != $true )
| ( apinj1 != $true )
| ( lamnotvar != $true )
| ( induction2 != $true )
| ( termmset = $true )
| ( axabs != $true )
| ( substmonoid != $true )
| ( termmset_gthm != $true ) )
& ( ( termmset_gthm = $true )
| ( ( axclos = $true )
& ( ulamvarind = $true )
& ( pushprop = $true )
& ( axidl = $true )
& ( axmap = $true )
& ( axassoc = $true )
& ( laminj = $true )
& ( lamnotap = $true )
& ( apinj2 = $true )
& ( axidr = $true )
& ( ulamvarsh = $true )
& ( induction2lem = $true )
& ( axvarshift = $true )
& ( ulamvar1 = $true )
& ( axvarcons = $true )
& ( axapp = $true )
& ( axvarid = $true )
& ( axshiftcons = $true )
& ( apnotvar = $true )
& ( shinj = $true )
& ( axscons = $true )
& ( induction = $true )
& ( apinj1 = $true )
& ( lamnotvar = $true )
& ( induction2 = $true )
& ( termmset != $true )
& ( axabs = $true )
& ( substmonoid = $true ) ) ) ),
inference(nnf_transformation,[],[f319]) ).
thf(f334,plain,
( ( ( axclos != $true )
| ( ulamvarind != $true )
| ( pushprop != $true )
| ( axidl != $true )
| ( axmap != $true )
| ( axassoc != $true )
| ( laminj != $true )
| ( lamnotap != $true )
| ( apinj2 != $true )
| ( axidr != $true )
| ( ulamvarsh != $true )
| ( induction2lem != $true )
| ( axvarshift != $true )
| ( ulamvar1 != $true )
| ( axvarcons != $true )
| ( axapp != $true )
| ( axvarid != $true )
| ( axshiftcons != $true )
| ( apnotvar != $true )
| ( shinj != $true )
| ( axscons != $true )
| ( induction != $true )
| ( apinj1 != $true )
| ( lamnotvar != $true )
| ( induction2 != $true )
| ( termmset = $true )
| ( axabs != $true )
| ( substmonoid != $true )
| ( termmset_gthm != $true ) )
& ( ( termmset_gthm = $true )
| ( ( axclos = $true )
& ( ulamvarind = $true )
& ( pushprop = $true )
& ( axidl = $true )
& ( axmap = $true )
& ( axassoc = $true )
& ( laminj = $true )
& ( lamnotap = $true )
& ( apinj2 = $true )
& ( axidr = $true )
& ( ulamvarsh = $true )
& ( induction2lem = $true )
& ( axvarshift = $true )
& ( ulamvar1 = $true )
& ( axvarcons = $true )
& ( axapp = $true )
& ( axvarid = $true )
& ( axshiftcons = $true )
& ( apnotvar = $true )
& ( shinj = $true )
& ( axscons = $true )
& ( induction = $true )
& ( apinj1 = $true )
& ( lamnotvar = $true )
& ( induction2 = $true )
& ( termmset != $true )
& ( axabs = $true )
& ( substmonoid = $true ) ) ) ),
inference(flattening,[],[f333]) ).
thf(f341,plain,
( ( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X3: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ) )
| ( termmset != $true ) )
& ( ( termmset = $true )
| ? [X0: term] :
( ( sub @ X0 @ id )
!= X0 )
| ? [X1: subst,X3: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
!= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ) ) ),
inference(nnf_transformation,[],[f279]) ).
thf(f342,plain,
( ( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X3: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ) )
| ( termmset != $true ) )
& ( ( termmset = $true )
| ? [X0: term] :
( ( sub @ X0 @ id )
!= X0 )
| ? [X1: subst,X3: subst,X2: term] :
( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
!= ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ) ) ),
inference(flattening,[],[f341]) ).
thf(f343,plain,
( ( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X2: subst,X3: term] :
( ( sub @ X3 @ ( comp @ X1 @ X2 ) )
= ( sub @ ( sub @ X3 @ X1 ) @ X2 ) ) )
| ( termmset != $true ) )
& ( ( termmset = $true )
| ? [X4: term] :
( ( sub @ X4 @ id )
!= X4 )
| ? [X5: subst,X6: subst,X7: term] :
( ( sub @ X7 @ ( comp @ X5 @ X6 ) )
!= ( sub @ ( sub @ X7 @ X5 ) @ X6 ) ) ) ),
inference(rectify,[],[f342]) ).
thf(f344,plain,
( ( ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
& ! [X1: subst,X2: subst,X3: term] :
( ( sub @ X3 @ ( comp @ X1 @ X2 ) )
= ( sub @ ( sub @ X3 @ X1 ) @ X2 ) ) )
| ( termmset != $true ) )
& ( ( termmset = $true )
| ( ( sub @ sK14 @ id )
!= sK14 )
| ( ( sub @ ( sub @ sK17 @ sK15 ) @ sK16 )
!= ( sub @ sK17 @ ( comp @ sK15 @ sK16 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X4,sK14),skolemize(X5,sK15),skolemize(X6,sK16),skolemize(X7,sK17)],[f343]) ).
thf(f351,plain,
! [X3: subst,X4: term,X5: subst] :
( ( ( sub @ ( sub @ X4 @ X5 ) @ X3 )
= ( sub @ X4 @ ( comp @ X5 @ X3 ) ) )
| ( axclos != $true ) ),
inference(cnf_transformation,[],[f329]) ).
thf(f354,plain,
! [X0: term] :
( ( ( sub @ X0 @ id )
= X0 )
| ( axvarid != $true ) ),
inference(cnf_transformation,[],[f332]) ).
thf(f357,plain,
( ( termmset != $true )
| ( termmset_gthm = $true ) ),
inference(cnf_transformation,[],[f334]) ).
thf(f366,plain,
( ( termmset_gthm = $true )
| ( axvarid = $true ) ),
inference(cnf_transformation,[],[f334]) ).
thf(f382,plain,
( ( termmset_gthm = $true )
| ( axclos = $true ) ),
inference(cnf_transformation,[],[f334]) ).
thf(f384,plain,
termmset_gthm != $true,
inference(cnf_transformation,[],[f317]) ).
thf(f389,plain,
( ( ( sub @ ( sub @ sK17 @ sK15 ) @ sK16 )
!= ( sub @ sK17 @ ( comp @ sK15 @ sK16 ) ) )
| ( ( sub @ sK14 @ id )
!= sK14 )
| ( termmset = $true ) ),
inference(cnf_transformation,[],[f344]) ).
thf(f399,definition,
( spl18_2
<=> ( termmset_gthm = $true ) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
thf(f409,definition,
( spl18_4
<=> ( axvarid = $true ) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
thf(f412,plain,
( spl18_2
| spl18_4 ),
inference(avatar_split_clause,[],[f366,f409,f399]) ).
thf(f414,definition,
( spl18_5
<=> ( axclos = $true ) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
thf(f417,plain,
( spl18_2
| spl18_5 ),
inference(avatar_split_clause,[],[f382,f414,f399]) ).
thf(f480,definition,
( spl18_19
<=> ( termmset = $true ) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
thf(f484,definition,
( spl18_20
<=> ! [X2: subst,X1: subst,X3: term] :
( ( sub @ X3 @ ( comp @ X1 @ X2 ) )
= ( sub @ ( sub @ X3 @ X1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
thf(f485,plain,
( ! [X2: subst,X3: term,X1: subst] :
( ( sub @ X3 @ ( comp @ X1 @ X2 ) )
= ( sub @ ( sub @ X3 @ X1 ) @ X2 ) )
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f507,plain,
( ~ spl18_5
| spl18_20 ),
inference(avatar_split_clause,[],[f351,f484,f414]) ).
thf(f536,plain,
~ spl18_2,
inference(avatar_split_clause,[],[f384,f399]) ).
thf(f563,definition,
( spl18_36
<=> ! [X0: term] :
( ( sub @ X0 @ id )
= X0 ) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
thf(f564,plain,
( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 )
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f563]) ).
thf(f565,plain,
( spl18_36
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f354,f409,f563]) ).
thf(f568,plain,
( spl18_2
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f357,f480,f399]) ).
thf(f581,definition,
( spl18_39
<=> ( ( sub @ ( sub @ sK17 @ sK15 ) @ sK16 )
= ( sub @ sK17 @ ( comp @ sK15 @ sK16 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
thf(f583,plain,
( ( ( sub @ ( sub @ sK17 @ sK15 ) @ sK16 )
!= ( sub @ sK17 @ ( comp @ sK15 @ sK16 ) ) )
| spl18_39 ),
inference(avatar_component_clause,[],[f581]) ).
thf(f585,definition,
( spl18_40
<=> ( ( sub @ sK14 @ id )
= sK14 ) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
thf(f587,plain,
( ( ( sub @ sK14 @ id )
!= sK14 )
| spl18_40 ),
inference(avatar_component_clause,[],[f585]) ).
thf(f588,plain,
( spl18_19
| ~ spl18_39
| ~ spl18_40 ),
inference(avatar_split_clause,[],[f389,f585,f581,f480]) ).
thf(f617,plain,
( $false
| ~ spl18_20
| spl18_39 ),
inference(forward_subsumption_resolution,[],[f583,f485]) ).
thf(f618,plain,
( ~ spl18_20
| spl18_39 ),
inference(avatar_contradiction_clause,[],[f617]) ).
thf(f631,plain,
( ( sK14 != sK14 )
| ~ spl18_36
| spl18_40 ),
inference(backward_demodulation,[],[f587,f564]) ).
thf(f632,plain,
( $false
| ~ spl18_36
| spl18_40 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f633,plain,
( ~ spl18_36
| spl18_40 ),
inference(avatar_contradiction_clause,[],[f632]) ).
cnf(s3,plain,
( spl18_2
| spl18_4 ),
inference(sat_conversion,[],[f412]) ).
cnf(s4,plain,
( spl18_2
| spl18_5 ),
inference(sat_conversion,[],[f417]) ).
cnf(s22,plain,
( ~ spl18_5
| spl18_20 ),
inference(sat_conversion,[],[f507]) ).
cnf(s27,plain,
~ spl18_2,
inference(sat_conversion,[],[f536]) ).
cnf(s33,plain,
( ~ spl18_4
| spl18_36 ),
inference(sat_conversion,[],[f565]) ).
cnf(s36,plain,
( spl18_2
| ~ spl18_19 ),
inference(sat_conversion,[],[f568]) ).
cnf(s40,plain,
( spl18_19
| ~ spl18_39
| ~ spl18_40 ),
inference(sat_conversion,[],[f588]) ).
cnf(s50,plain,
( ~ spl18_20
| spl18_39 ),
inference(sat_conversion,[],[f618]) ).
cnf(s55,plain,
( ~ spl18_36
| spl18_40 ),
inference(sat_conversion,[],[f633]) ).
cnf(s65,plain,
~ spl18_19,
inference(rat,[],[s36,s27]) ).
cnf(s92,plain,
spl18_5,
inference(rat,[],[s4,s27]) ).
cnf(s93,plain,
spl18_20,
inference(rat,[],[s22,s92]) ).
cnf(s94,plain,
spl18_39,
inference(rat,[],[s50,s93]) ).
cnf(s96,plain,
~ spl18_40,
inference(rat,[],[s40,s65,s94]) ).
cnf(s97,plain,
~ spl18_36,
inference(rat,[],[s55,s96]) ).
cnf(s98,plain,
~ spl18_4,
inference(rat,[],[s33,s97]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s3,s98,s27]) ).
thf(f638,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG255^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:32:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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
% 0.63/0.39 % (1971598)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.39 % (1971608)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2037852831:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.39 % (1971609)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.39 % (1971609)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
% 0.63/0.39 % (1971605)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3751935748:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.39 % (1971604)lrs+10_16_si=on:nwc=1.5:random_seed=3600284799:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.39 % (1971603)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2346569851:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.39 % (1971607)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1734879140:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.39 % (1971606)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=3716042394: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)
% 0.63/0.39 % (1971609)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=1534783425:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.39 % (1971605)Instruction limit reached!
% 0.63/0.39 % (1971605)------------------------------
% 0.63/0.39 % (1971605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971605)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971605)Termination reason: Instruction limit
% 0.63/0.39 % (1971605)Termination phase: shuffling
% 0.63/0.39 % (1971605)Time elapsed: 0.002 s
% 0.63/0.39 % (1971605)Peak memory usage: 10 MB
% 0.63/0.39 % (1971605)Instructions burned: 4 (million)
% 0.63/0.39 % (1971604)Instruction limit reached!
% 0.63/0.39 % (1971604)------------------------------
% 0.63/0.39 % (1971604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971604)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971604)Termination reason: Instruction limit
% 0.63/0.39 % (1971604)Termination phase: shuffling
% 0.63/0.39 % (1971604)Time elapsed: 0.008 s
% 0.63/0.39 % (1971604)Peak memory usage: 10 MB
% 0.63/0.39 % (1971604)Instructions burned: 18 (million)
% 0.63/0.39 % (1971608)Instruction limit reached!
% 0.63/0.39 % (1971608)------------------------------
% 0.63/0.39 % (1971608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971608)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971608)Termination reason: Instruction limit
% 0.63/0.39 % (1971608)Termination phase: Property scanning
% 0.63/0.39 % (1971608)Time elapsed: 0.020 s
% 0.63/0.39 % (1971608)Peak memory usage: 12 MB
% 0.63/0.39 % (1971608)Instructions burned: 79 (million)
% 0.63/0.39 % (1971607)Instruction limit reached!
% 0.63/0.39 % (1971607)------------------------------
% 0.63/0.39 % (1971607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971607)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971607)Termination reason: Instruction limit
% 0.63/0.39 % (1971607)Termination phase: Naming
% 0.63/0.39 % (1971607)Time elapsed: 0.012 s
% 0.63/0.39 % (1971607)Peak memory usage: 11 MB
% 0.63/0.39 % (1971607)Instructions burned: 25 (million)
% 0.63/0.39 % (1971619)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.39 % (1971617)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4160226006:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (1971617)Instruction limit reached!
% 0.63/0.39 % (1971617)------------------------------
% 0.63/0.39 % (1971617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971619)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2507609727:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.39 % (1971617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971617)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971617)Termination reason: Instruction limit
% 0.63/0.39 % (1971617)Termination phase: shuffling
% 0.63/0.39 % (1971617)Time elapsed: 0.001 s
% 0.63/0.39 % (1971617)Peak memory usage: 10 MB
% 0.63/0.39 % (1971617)Instructions burned: 2 (million)
% 0.63/0.39 % (1971619)Instruction limit reached!
% 0.63/0.39 % (1971619)------------------------------
% 0.63/0.39 % (1971619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971619)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971619)Termination reason: Instruction limit
% 0.63/0.39 % (1971619)Termination phase: shuffling
% 0.63/0.39 % (1971619)Time elapsed: 0.002 s
% 0.63/0.39 % (1971619)Peak memory usage: 10 MB
% 0.63/0.39 % (1971619)Instructions burned: 7 (million)
% 0.63/0.39 % (1971618)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2948024899:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.39 % (1971618)Instruction limit reached!
% 0.63/0.39 % (1971618)------------------------------
% 0.63/0.39 % (1971618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971618)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971618)Termination reason: Instruction limit
% 0.63/0.39 % (1971618)Termination phase: shuffling
% 0.63/0.39 % (1971618)Time elapsed: 0.003 s
% 0.63/0.39 % (1971618)Peak memory usage: 10 MB
% 0.63/0.39 % (1971618)Instructions burned: 6 (million)
% 0.63/0.39 % (1971620)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4218965348:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.39 % (1971624)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=1738378007:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.39 % (1971620)Instruction limit reached!
% 0.63/0.39 % (1971620)------------------------------
% 0.63/0.39 % (1971620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971620)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971620)Termination reason: Instruction limit
% 0.63/0.39 % (1971620)Termination phase: shuffling
% 0.63/0.39 % (1971620)Time elapsed: 0.006 s
% 0.63/0.39 % (1971620)Peak memory usage: 10 MB
% 0.63/0.39 % (1971620)Instructions burned: 13 (million)
% 0.63/0.39 % (1971623)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
% 0.63/0.39 % (1971623)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.39 % (1971623)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4291918895:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.39 % (1971627)lrs+10_1_si=on:cs=on:random_seed=1917654675:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.39 % (1971624)Instruction limit reached!
% 0.63/0.39 % (1971624)------------------------------
% 0.63/0.39 % (1971624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971624)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971624)Termination reason: Instruction limit
% 0.63/0.39 % (1971624)Termination phase: Saturation
% 0.63/0.39 % (1971624)Time elapsed: 0.018 s
% 0.63/0.39 % (1971624)Peak memory usage: 11 MB
% 0.63/0.39 % (1971624)Instructions burned: 86 (million)
% 0.63/0.39 % (1971623)Instruction limit reached!
% 0.63/0.39 % (1971623)------------------------------
% 0.63/0.39 % (1971623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971623)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971623)Termination reason: Instruction limit
% 0.63/0.39 % (1971623)Termination phase: Property scanning
% 0.63/0.39 % (1971623)Time elapsed: 0.013 s
% 0.63/0.39 % (1971623)Peak memory usage: 10 MB
% 0.63/0.39 % (1971623)Instructions burned: 29 (million)
% 0.63/0.39 % (1971627)Instruction limit reached!
% 0.63/0.39 % (1971627)------------------------------
% 0.63/0.39 % (1971627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971627)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971627)Termination reason: Instruction limit
% 0.63/0.39 % (1971627)Termination phase: shuffling
% 0.63/0.39 % (1971627)Time elapsed: 0.005 s
% 0.63/0.39 % (1971627)Peak memory usage: 10 MB
% 0.63/0.39 % (1971627)Instructions burned: 10 (million)
% 0.63/0.39 % (1971630)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.39 % (1971603)Instruction limit reached!
% 0.63/0.39 % (1971603)------------------------------
% 0.63/0.39 % (1971603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971603)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971603)Termination reason: Instruction limit
% 0.63/0.39 % (1971603)Termination phase: Function definition elimination
% 0.63/0.39 % (1971603)Time elapsed: 0.062 s
% 0.63/0.39 % (1971603)Peak memory usage: 12 MB
% 0.63/0.39 % (1971603)Instructions burned: 87 (million)
% 0.63/0.39 % (1971630)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=3756925383:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (1971632)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3561465206:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.39 % (1971630)Instruction limit reached!
% 0.63/0.39 % (1971630)------------------------------
% 0.63/0.39 % (1971630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971630)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971630)Termination reason: Instruction limit
% 0.63/0.39 % (1971630)Termination phase: shuffling
% 0.63/0.39 % (1971630)Time elapsed: 0.002 s
% 0.63/0.39 % (1971630)Peak memory usage: 10 MB
% 0.63/0.39 % (1971630)Instructions burned: 4 (million)
% 0.63/0.39 % (1971609)Instruction limit reached!
% 0.63/0.39 % (1971609)------------------------------
% 0.63/0.39 % (1971609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971609)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971609)Termination reason: Instruction limit
% 0.63/0.39 % (1971609)Termination phase: Saturation
% 0.63/0.39 % (1971609)Time elapsed: 0.066 s
% 0.63/0.39 % (1971609)Peak memory usage: 13 MB
% 0.63/0.39 % (1971609)Instructions burned: 157 (million)
% 0.63/0.39 % (1971632) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1971598-1971632"...
% 0.63/0.39 % (1971633)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3301103674:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.39 % (1971634)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3286436460:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.39 % (1971632)...printing done.
% 0.63/0.39 % (1971632)Refutation found. Thanks to Tanya!
% 0.63/0.39 % SZS status Theorem for theBenchmark
% 0.63/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.39 % (1971632)------------------------------
% 0.63/0.39 % (1971632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1971632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1971632)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1971632)Termination reason: Refutation
% 0.63/0.39 % (1971632)Time elapsed: 0.009 s
% 0.63/0.39 % (1971632)Peak memory usage: 13 MB
% 0.63/0.39 % (1971632)Instructions burned: 34 (million)
% 0.63/0.39 % (1971598)Success in time 0.127 s
% 0.63/0.39 % Vampire exiting
%------------------------------------------------------------------------------