%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG268^4 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 07:45:17 AM UTC 2026
% Result : Theorem 2.47s 0.85s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 57 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 573 ( 19 ~; 16 |; 0 &; 510 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 146 ( 141 usr; 116 con; 0-4 aty)
% ( 22 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 138 ( 110 ^; 26 !; 2 ?; 138 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_124,type,
vIMP: $o > $o > $o ).
thf(func_def_125,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_128,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_129,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_130,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_131,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
vIFF: $o > $o > $o ).
thf(func_def_134,type,
vNOT: $o > $o ).
thf(func_def_137,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_138,type,
vAND: $o > $o > $o ).
thf(func_def_139,type,
sK0: term > subst > term > term ).
thf(func_def_140,type,
sK1: term ).
thf(func_def_141,type,
sK2: ( subst > term > term ) > term ).
thf(func_def_142,type,
sK3: ( subst > term > term ) > subst ).
thf(f83,axiom,
( hoasinduction_lem3v2_f
= ( ! [X0: term] :
? [X1: subst > term > term] :
! [X3: subst,X2: term] :
( ( X1 @ X3 @ X2 )
= ( sub @ X0 @ ( push @ X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3v2_f) ).
thf(f84,axiom,
hoasinduction_lem3v2_f_lthm = hoasinduction_lem3v2_f,
file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3v2_f_lthm) ).
thf(f114,conjecture,
hoasinduction_lem3v2_f_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ hoasinduction_lem3v2_f_lthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f143,plain,
~ hoasinduction_lem3v2_f_lthm,
inference(rectify,[],[f115]) ).
thf(f144,plain,
hoasinduction_lem3v2_f_lthm != $true,
inference(fool_elimination,[],[f143]) ).
thf(f283,plain,
( hoasinduction_lem3v2_f
= ( ! [X0: term] :
? [X1: subst > term > term] :
! [X2: subst,X3: term] :
( ( X1 @ X2 @ X3 )
= ( sub @ X0 @ ( push @ X3 @ X2 ) ) ) ) ),
inference(rectify,[],[f83]) ).
thf(f284,plain,
( hoasinduction_lem3v2_f
= ( !! @ term
@ ^ [Y0: term] :
( ?? @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y1 @ Y3 @ Y2 )
= ( sub @ Y0 @ ( push @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f283]) ).
thf(f321,plain,
hoasinduction_lem3v2_f_lthm != $true,
inference(flattening,[],[f144]) ).
thf(f322,plain,
( hoasinduction_lem3v2_f
= ( !! @ term
@ ^ [Y0: term] :
( ?? @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y1 @ Y3 @ Y2 )
= ( sub @ Y0 @ ( push @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f284]) ).
thf(f323,plain,
hoasinduction_lem3v2_f = hoasinduction_lem3v2_f_lthm,
inference(cnf_transformation,[],[f84]) ).
thf(f324,plain,
hoasinduction_lem3v2_f_lthm != $true,
inference(cnf_transformation,[],[f321]) ).
thf(f327,plain,
( hoasinduction_lem3v2_f_lthm
= ( !! @ term
@ ^ [Y0: term] :
( ?? @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y1 @ Y3 @ Y2 )
= ( sub @ Y0 @ ( push @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f322,f323]) ).
thf(f328,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ?? @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y1 @ Y3 @ Y2 )
= ( sub @ Y0 @ ( push @ Y2 @ Y3 ) ) ) ) ) ) )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(iff_proxy_clausification,[],[f327]) ).
thf(f339,plain,
( ( hoasinduction_lem3v2_f_lthm = $true )
| ( ( ^ [Y0: term] :
( ?? @ ( subst > term > term )
@ ^ [Y1: subst > term > term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ subst
@ ^ [Y3: subst] :
( ( Y1 @ Y3 @ Y2 )
= ( sub @ Y0 @ ( push @ Y2 @ Y3 ) ) ) ) ) )
@ sK1 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f328]) ).
thf(f340,plain,
( ( hoasinduction_lem3v2_f_lthm = $true )
| ( $false
= ( ?? @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( Y0 @ Y2 @ Y1 )
= ( sub @ sK1 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f339]) ).
thf(f341,plain,
! [X1: subst > term > term] :
( ( ( ^ [Y0: subst > term > term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( Y0 @ Y2 @ Y1 )
= ( sub @ sK1 @ ( push @ Y1 @ Y2 ) ) ) ) )
@ X1 )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(pi_proxy_clausification,[],[f340]) ).
thf(f342,plain,
! [X1: subst > term > term] :
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( X1 @ Y1 @ Y0 )
= ( sub @ sK1 @ ( push @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(beta-eta_normalization,[],[f341]) ).
thf(f343,plain,
! [X1: subst > term > term] :
( ( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( X1 @ Y1 @ Y0 )
= ( sub @ sK1 @ ( push @ Y0 @ Y1 ) ) ) )
@ ( sK2 @ X1 ) )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(sigma_proxy_clausification,[],[f342]) ).
thf(f344,plain,
! [X1: subst > term > term] :
( ( hoasinduction_lem3v2_f_lthm = $true )
| ( ( !! @ subst
@ ^ [Y0: subst] :
( ( X1 @ Y0 @ ( sK2 @ X1 ) )
= ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ Y0 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f343]) ).
thf(f345,plain,
! [X1: subst > term > term] :
( ( ( ^ [Y0: subst] :
( ( X1 @ Y0 @ ( sK2 @ X1 ) )
= ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ Y0 ) ) )
@ ( sK3 @ X1 ) )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(sigma_proxy_clausification,[],[f344]) ).
thf(f346,plain,
! [X1: subst > term > term] :
( ( ( ( X1 @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) )
= ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) )
= $false )
| ( hoasinduction_lem3v2_f_lthm = $true ) ),
inference(beta-eta_normalization,[],[f345]) ).
thf(f347,plain,
! [X1: subst > term > term] :
( ( hoasinduction_lem3v2_f_lthm = $true )
| ( ( X1 @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) )
!= ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f346]) ).
thf(f356,plain,
! [X1: subst > term > term] :
( ( X1 @ ( sK3 @ X1 ) @ ( sK2 @ X1 ) )
!= ( sub @ sK1 @ ( push @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) ) ),
inference(forward_subsumption_resolution,[],[f347,f324]) ).
thf(f369,plain,
! [X2: subst > term > subst,X0: subst > term > term,X1: subst > term > term] :
( ( ( X1
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) )
!= ( sK2
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: subst,Y3: term] : ( push @ ( X1 @ Y2 @ Y3 ) @ ( X2 @ Y2 @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
| ( ( X2
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) )
!= ( sK3
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: subst,Y3: term] : ( push @ ( X1 @ Y2 @ Y3 ) @ ( X2 @ Y2 @ Y3 ) )
@ Y0
@ Y1 ) ) ) )
| ( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(equality_resolution,[],[f356]) ).
thf(f370,plain,
! [X2: subst > term > subst,X0: subst > term > term,X1: subst > term > term] :
( ( ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) ) )
| ( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( X2
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) )
!= ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ ( X1 @ Y0 @ Y1 ) @ ( X2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f369]) ).
thf(f371,plain,
! [X0: subst > term > term,X1: subst > term > subst] :
( ( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ ( X1 @ Y0 @ Y1 ) ) ) ) ) )
| ( ( sK3
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sK3
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(equality_resolution,[],[f370]) ).
thf(f373,plain,
! [X0: subst > term > term,X1: subst > term > subst] :
( ( ( X1
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ ( X1 @ Y0 @ Y1 ) ) ) ) )
!= ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ ( X1 @ Y0 @ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ ( X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f371]) ).
thf(f375,plain,
! [X0: subst > term > term] :
( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push @ Y1
@ ( ^ [Y2: subst,Y3: term] : Y2
@ Y0
@ Y1 ) ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] :
( sub @ ( X0 @ Y0 @ Y1 )
@ ( push @ Y1
@ ( ^ [Y2: subst,Y3: term] : Y2
@ Y0
@ Y1 ) ) ) ) ) ),
inference(equality_resolution,[],[f373]) ).
thf(f377,plain,
! [X0: subst > term > term] :
( sK1
!= ( X0
@ ( sK3
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ Y0 ) ) )
@ ( sK2
@ ^ [Y0: subst,Y1: term] : ( sub @ ( X0 @ Y0 @ Y1 ) @ ( push @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f375]) ).
thf(f379,plain,
$false,
inference(equality_resolution,[],[f377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG268^4 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n016.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 17:39:50 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running higher-order theorem proving
% 0.27/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.63 % (668864)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.42/0.63 % (668872)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=2931113856: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)
% 1.42/0.63 % (668875)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.42/0.63 % (668875)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
% 1.42/0.63 % (668871)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2283603143:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.42/0.63 % (668869)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2031271654:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.42/0.63 % (668870)lrs+10_16_si=on:nwc=1.5:random_seed=1696545888:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.42/0.63 % (668873)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1524491971:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.42/0.63 % (668874)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2766783092:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.42/0.63 % (668875)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=307920395:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.42/0.63 % (668871)Instruction limit reached!
% 1.42/0.63 % (668871)------------------------------
% 1.42/0.63 % (668871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.63 % (668871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.63 % (668871)CaDiCaL version: 2.1.3
% 1.42/0.63 % (668871)Termination reason: Instruction limit
% 1.42/0.63 % (668871)Termination phase: shuffling
% 1.42/0.63 % (668871)Time elapsed: 0.004 s
% 1.42/0.63 % (668871)Peak memory usage: 10 MB
% 1.42/0.63 % (668871)Instructions burned: 3 (million)
% 1.42/0.63 % (668870)Instruction limit reached!
% 1.42/0.63 % (668870)------------------------------
% 1.42/0.63 % (668870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.63 % (668870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.63 % (668870)CaDiCaL version: 2.1.3
% 1.42/0.63 % (668870)Termination reason: Instruction limit
% 1.42/0.63 % (668870)Termination phase: shuffling
% 1.42/0.63 % (668870)Time elapsed: 0.016 s
% 1.42/0.63 % (668870)Peak memory usage: 10 MB
% 1.42/0.63 % (668870)Instructions burned: 18 (million)
% 1.42/0.63 % (668873)Instruction limit reached!
% 1.42/0.63 % (668873)------------------------------
% 1.42/0.63 % (668873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.63 % (668873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.63 % (668873)CaDiCaL version: 2.1.3
% 1.42/0.63 % (668873)Termination reason: Instruction limit
% 1.42/0.63 % (668873)Termination phase: Naming
% 1.42/0.63 % (668873)Time elapsed: 0.021 s
% 1.42/0.63 % (668873)Peak memory usage: 11 MB
% 1.42/0.63 % (668873)Instructions burned: 25 (million)
% 1.42/0.63 % (668883)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=921555340:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.42/0.63 % (668883)Instruction limit reached!
% 1.42/0.63 % (668883)------------------------------
% 1.42/0.63 % (668883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.63 % (668883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.63 % (668883)CaDiCaL version: 2.1.3
% 1.42/0.63 % (668883)Termination reason: Instruction limit
% 1.42/0.63 % (668883)Termination phase: shuffling
% 1.42/0.63 % (668883)Time elapsed: 0.003 s
% 1.42/0.63 % (668883)Peak memory usage: 10 MB
% 1.42/0.63 % (668883)Instructions burned: 3 (million)
% 1.42/0.63 % (668884)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1814630523:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.42/0.63 % (668885)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.76/0.70 % (668884)Instruction limit reached!
% 1.76/0.70 % (668884)------------------------------
% 1.76/0.70 % (668884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.70 % (668884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.70 % (668884)CaDiCaL version: 2.1.3
% 1.76/0.70 % (668884)Termination reason: Instruction limit
% 1.76/0.70 % (668884)Termination phase: shuffling
% 1.76/0.70 % (668884)Time elapsed: 0.005 s
% 1.76/0.70 % (668884)Peak memory usage: 10 MB
% 1.76/0.70 % (668884)Instructions burned: 6 (million)
% 1.76/0.70 % (668885)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2999987967:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.76/0.70 % (668885)Instruction limit reached!
% 1.76/0.70 % (668885)------------------------------
% 1.76/0.70 % (668885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.70 % (668885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.70 % (668885)CaDiCaL version: 2.1.3
% 1.76/0.70 % (668885)Termination reason: Instruction limit
% 1.76/0.70 % (668885)Termination phase: shuffling
% 1.76/0.70 % (668885)Time elapsed: 0.007 s
% 1.76/0.70 % (668885)Peak memory usage: 10 MB
% 1.76/0.70 % (668885)Instructions burned: 8 (million)
% 1.76/0.70 % (668874)Instruction limit reached!
% 1.76/0.70 % (668874)------------------------------
% 1.76/0.70 % (668874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.70 % (668874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.70 % (668874)CaDiCaL version: 2.1.3
% 1.76/0.70 % (668874)Termination reason: Instruction limit
% 1.76/0.70 % (668874)Termination phase: Property scanning
% 1.76/0.70 % (668874)Time elapsed: 0.067 s
% 1.76/0.70 % (668874)Peak memory usage: 12 MB
% 1.76/0.70 % (668874)Instructions burned: 76 (million)
% 1.76/0.70 % (668869)Instruction limit reached!
% 1.76/0.70 % (668869)------------------------------
% 1.76/0.70 % (668869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.70 % (668869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.70 % (668869)CaDiCaL version: 2.1.3
% 1.76/0.70 % (668869)Termination reason: Instruction limit
% 1.76/0.70 % (668869)Termination phase: Function definition elimination
% 1.76/0.70 % (668869)Time elapsed: 0.075 s
% 1.76/0.70 % (668869)Peak memory usage: 12 MB
% 1.76/0.70 % (668869)Instructions burned: 87 (million)
% 1.76/0.70 % (668887)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4111254569:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.76/0.70 % (668889)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
% 1.76/0.70 % (668889)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.76/0.70 % (668887)Instruction limit reached!
% 1.76/0.70 % (668887)------------------------------
% 1.76/0.70 % (668887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.76/0.70 % (668887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/0.70 % (668887)CaDiCaL version: 2.1.3
% 1.76/0.70 % (668887)Termination reason: Instruction limit
% 1.76/0.70 % (668887)Termination phase: shuffling
% 1.76/0.70 % (668887)Time elapsed: 0.011 s
% 1.76/0.70 % (668887)Peak memory usage: 10 MB
% 1.76/0.70 % (668887)Instructions burned: 12 (million)
% 1.76/0.70 % (668889)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1150857779:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.76/0.70 % (668891)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=3170948402:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.76/0.70 % (668892)lrs+10_1_si=on:cs=on:random_seed=1771544804:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.76/0.70 % (668894)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.99/0.74 % (668892)Instruction limit reached!
% 1.99/0.74 % (668892)------------------------------
% 1.99/0.74 % (668892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668892)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668892)Termination reason: Instruction limit
% 1.99/0.74 % (668892)Termination phase: shuffling
% 1.99/0.74 % (668892)Time elapsed: 0.008 s
% 1.99/0.74 % (668892)Peak memory usage: 10 MB
% 1.99/0.74 % (668892)Instructions burned: 8 (million)
% 1.99/0.74 % (668894)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=1993450976:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.99/0.74 % (668894)Instruction limit reached!
% 1.99/0.74 % (668894)------------------------------
% 1.99/0.74 % (668894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668894)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668894)Termination reason: Instruction limit
% 1.99/0.74 % (668894)Termination phase: shuffling
% 1.99/0.74 % (668894)Time elapsed: 0.005 s
% 1.99/0.74 % (668894)Peak memory usage: 10 MB
% 1.99/0.74 % (668894)Instructions burned: 5 (million)
% 1.99/0.74 % (668889)Instruction limit reached!
% 1.99/0.74 % (668889)------------------------------
% 1.99/0.74 % (668889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668889)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668889)Termination reason: Instruction limit
% 1.99/0.74 % (668889)Termination phase: Property scanning
% 1.99/0.74 % (668889)Time elapsed: 0.024 s
% 1.99/0.74 % (668889)Peak memory usage: 10 MB
% 1.99/0.74 % (668889)Instructions burned: 28 (million)
% 1.99/0.74 % (668895)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4283449026:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.99/0.74 % (668875)Instruction limit reached!
% 1.99/0.74 % (668875)------------------------------
% 1.99/0.74 % (668875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668875)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668875)Termination reason: Instruction limit
% 1.99/0.74 % (668875)Termination phase: Saturation
% 1.99/0.74 % (668875)Time elapsed: 0.127 s
% 1.99/0.74 % (668875)Peak memory usage: 14 MB
% 1.99/0.74 % (668875)Instructions burned: 158 (million)
% 1.99/0.74 % (668900)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3913455906:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.99/0.74 % (668895)Refutation not found, incomplete strategy
% 1.99/0.74 % (668895)------------------------------
% 1.99/0.74 % (668895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668895)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668895)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.74 % (668895)Time elapsed: 0.027 s
% 1.99/0.74 % (668895)Peak memory usage: 13 MB
% 1.99/0.74 % (668895)Instructions burned: 29 (million)
% 1.99/0.74 % (668901)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=673463240:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.99/0.74 % (668895)------------------------------
% 1.99/0.74 % (668895)------------------------------
% 1.99/0.74 % (668902)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2955352006:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.99/0.74 % (668902)Instruction limit reached!
% 1.99/0.74 % (668902)------------------------------
% 1.99/0.74 % (668902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.74 % (668902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.74 % (668902)CaDiCaL version: 2.1.3
% 1.99/0.74 % (668902)Termination reason: Instruction limit
% 1.99/0.74 % (668902)Termination phase: shuffling
% 1.99/0.74 % (668902)Time elapsed: 0.012 s
% 1.99/0.74 % (668902)Peak memory usage: 10 MB
% 1.99/0.74 % (668902)Instructions burned: 14 (million)
% 1.99/0.79 % (668904)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1610167386:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.99/0.79 % (668891)Instruction limit reached!
% 1.99/0.79 % (668891)------------------------------
% 1.99/0.79 % (668891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.79 % (668891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.79 % (668891)CaDiCaL version: 2.1.3
% 1.99/0.79 % (668891)Termination reason: Instruction limit
% 1.99/0.79 % (668891)Termination phase: Saturation
% 1.99/0.79 % (668891)Time elapsed: 0.070 s
% 1.99/0.79 % (668891)Peak memory usage: 11 MB
% 1.99/0.79 % (668891)Instructions burned: 86 (million)
% 1.99/0.79 % (668901)Instruction limit reached!
% 1.99/0.79 % (668901)------------------------------
% 1.99/0.79 % (668901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.79 % (668901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.79 % (668901)CaDiCaL version: 2.1.3
% 1.99/0.79 % (668901)Termination reason: Instruction limit
% 1.99/0.79 % (668901)Termination phase: SInE selection
% 1.99/0.79 % (668901)Time elapsed: 0.022 s
% 1.99/0.79 % (668901)Peak memory usage: 11 MB
% 1.99/0.79 % (668901)Instructions burned: 25 (million)
% 1.99/0.79 % (668900)Refutation not found, incomplete strategy
% 1.99/0.79 % (668900)------------------------------
% 1.99/0.79 % (668900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.79 % (668900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.79 % (668900)CaDiCaL version: 2.1.3
% 1.99/0.79 % (668900)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.79 % (668900)Time elapsed: 0.040 s
% 1.99/0.79 % (668900)Peak memory usage: 12 MB
% 1.99/0.79 % (668900)Instructions burned: 50 (million)
% 1.99/0.79 % (668908)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=923175555:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.99/0.79 % (668900)------------------------------
% 1.99/0.79 % (668900)------------------------------
% 1.99/0.79 % (668908)Instruction limit reached!
% 1.99/0.79 % (668908)------------------------------
% 1.99/0.79 % (668908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.80 % (668908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.80 % (668908)CaDiCaL version: 2.1.3
% 1.99/0.80 % (668908)Termination reason: Instruction limit
% 1.99/0.80 % (668908)Termination phase: shuffling
% 1.99/0.80 % (668908)Time elapsed: 0.012 s
% 1.99/0.80 % (668908)Peak memory usage: 10 MB
% 1.99/0.80 % (668908)Instructions burned: 14 (million)
% 1.99/0.80 % (668909)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2162116306:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.99/0.80 % (668909)Instruction limit reached!
% 1.99/0.80 % (668909)------------------------------
% 1.99/0.80 % (668909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.80 % (668909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.80 % (668909)CaDiCaL version: 2.1.3
% 1.99/0.80 % (668909)Termination reason: Instruction limit
% 1.99/0.80 % (668909)Termination phase: shuffling
% 1.99/0.80 % (668909)Time elapsed: 0.003 s
% 1.99/0.80 % (668909)Peak memory usage: 10 MB
% 1.99/0.80 % (668909)Instructions burned: 3 (million)
% 1.99/0.80 % (668911)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3615624221:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.99/0.80 % (668912)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1565159436:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.99/0.80 % (668914)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1482558333:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.99/0.80 % (668916)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
% 1.99/0.80 % (668916)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.99/0.80 % (668911)Instruction limit reached!
% 2.47/0.85 % (668911)------------------------------
% 2.47/0.85 % (668911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668911)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668911)Termination reason: Instruction limit
% 2.47/0.85 % (668911)Termination phase: Property scanning
% 2.47/0.85 % (668911)Time elapsed: 0.022 s
% 2.47/0.85 % (668911)Peak memory usage: 10 MB
% 2.47/0.85 % (668911)Instructions burned: 27 (million)
% 2.47/0.85 % (668917)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.47/0.85 % (668912)Instruction limit reached!
% 2.47/0.85 % (668912)------------------------------
% 2.47/0.85 % (668912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668912)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668912)Termination reason: Instruction limit
% 2.47/0.85 % (668912)Termination phase: Property scanning
% 2.47/0.85 % (668912)Time elapsed: 0.020 s
% 2.47/0.85 % (668912)Peak memory usage: 10 MB
% 2.47/0.85 % (668912)Instructions burned: 24 (million)
% 2.47/0.85 % (668916)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=3666563670:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.47/0.85 % (668917)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=1044227495:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.47/0.85 % (668917)Instruction limit reached!
% 2.47/0.85 % (668917)------------------------------
% 2.47/0.85 % (668917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668917)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668917)Termination reason: Instruction limit
% 2.47/0.85 % (668917)Termination phase: shuffling
% 2.47/0.85 % (668917)Time elapsed: 0.007 s
% 2.47/0.85 % (668917)Peak memory usage: 10 MB
% 2.47/0.85 % (668917)Instructions burned: 9 (million)
% 2.47/0.85 % (668916)Instruction limit reached!
% 2.47/0.85 % (668916)------------------------------
% 2.47/0.85 % (668916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668916)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668916)Termination reason: Instruction limit
% 2.47/0.85 % (668916)Termination phase: shuffling
% 2.47/0.85 % (668916)Time elapsed: 0.013 s
% 2.47/0.85 % (668916)Peak memory usage: 10 MB
% 2.47/0.85 % (668916)Instructions burned: 15 (million)
% 2.47/0.85 % (668921)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=2081182457:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.47/0.85 % (668923)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3081467132:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.47/0.85 % (668914)Instruction limit reached!
% 2.47/0.85 % (668914)------------------------------
% 2.47/0.85 % (668914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668914)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668914)Termination reason: Instruction limit
% 2.47/0.85 % (668914)Termination phase: Property scanning
% 2.47/0.85 % (668914)Time elapsed: 0.051 s
% 2.47/0.85 % (668914)Peak memory usage: 12 MB
% 2.47/0.85 % (668914)Instructions burned: 60 (million)
% 2.47/0.85 % (668923)Instruction limit reached!
% 2.47/0.85 % (668923)------------------------------
% 2.47/0.85 % (668923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668923)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668923)Termination reason: Instruction limit
% 2.47/0.85 % (668923)Termination phase: shuffling
% 2.47/0.85 % (668923)Time elapsed: 0.006 s
% 2.47/0.85 % (668923)Peak memory usage: 10 MB
% 2.47/0.85 % (668923)Instructions burned: 7 (million)
% 2.47/0.85 % (668926)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3065015619:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.47/0.85 % (668925)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1231872358:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.47/0.85 % (668872)Instruction limit reached!
% 2.47/0.85 % (668872)------------------------------
% 2.47/0.85 % (668872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668872)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668872)Termination reason: Instruction limit
% 2.47/0.85 % (668872)Termination phase: Saturation
% 2.47/0.85 % (668872)Time elapsed: 0.288 s
% 2.47/0.85 % (668872)Peak memory usage: 18 MB
% 2.47/0.85 % (668872)Instructions burned: 635 (million)
% 2.47/0.85 % (668921)Instruction limit reached!
% 2.47/0.85 % (668921)------------------------------
% 2.47/0.85 % (668921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668921)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668921)Termination reason: Instruction limit
% 2.47/0.85 % (668921)Termination phase: Property scanning
% 2.47/0.85 % (668921)Time elapsed: 0.026 s
% 2.47/0.85 % (668921)Peak memory usage: 10 MB
% 2.47/0.85 % (668921)Instructions burned: 31 (million)
% 2.47/0.85 % (668926)Instruction limit reached!
% 2.47/0.85 % (668926)------------------------------
% 2.47/0.85 % (668926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668926)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668926)Termination reason: Instruction limit
% 2.47/0.85 % (668926)Termination phase: shuffling
% 2.47/0.85 % (668926)Time elapsed: 0.017 s
% 2.47/0.85 % (668926)Peak memory usage: 10 MB
% 2.47/0.85 % (668926)Instructions burned: 20 (million)
% 2.47/0.85 % (668925)Instruction limit reached!
% 2.47/0.85 % (668925)------------------------------
% 2.47/0.85 % (668925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668925)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668925)Termination reason: Instruction limit
% 2.47/0.85 % (668925)Termination phase: Property scanning
% 2.47/0.85 % (668925)Time elapsed: 0.019 s
% 2.47/0.85 % (668925)Peak memory usage: 10 MB
% 2.47/0.85 % (668933)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3788680140:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.47/0.85 % (668925)Instructions burned: 23 (million)
% 2.47/0.85 % (668929)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1620381190:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.47/0.85 % (668930)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1207908063:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.47/0.85 % (668935)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.47/0.85 % (668934)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2415363759:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.47/0.85 % (668933)Refutation not found, incomplete strategy
% 2.47/0.85 % (668933)------------------------------
% 2.47/0.85 % (668933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668933)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668933)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.85 % (668933)Time elapsed: 0.025 s
% 2.47/0.85 % (668933)Peak memory usage: 13 MB
% 2.47/0.85 % (668933)Instructions burned: 59 (million)
% 2.47/0.85 % (668933)------------------------------
% 2.47/0.85 % (668933)------------------------------
% 2.47/0.85 % (668935)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3540476630:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.47/0.85 % (668937)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=679377942:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.47/0.85 % (668935)Instruction limit reached!
% 2.47/0.85 % (668935)------------------------------
% 2.47/0.85 % (668935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668935)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668935)Termination reason: Instruction limit
% 2.47/0.85 % (668935)Termination phase: shuffling
% 2.47/0.85 % (668935)Time elapsed: 0.007 s
% 2.47/0.85 % (668935)Peak memory usage: 10 MB
% 2.47/0.85 % (668935)Instructions burned: 8 (million)
% 2.47/0.85 % (668941)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=3538510893: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)
% 2.47/0.85 % (668934)Instruction limit reached!
% 2.47/0.85 % (668934)------------------------------
% 2.47/0.85 % (668934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668934)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668934)Termination reason: Instruction limit
% 2.47/0.85 % (668934)Termination phase: Property scanning
% 2.47/0.85 % (668934)Time elapsed: 0.035 s
% 2.47/0.85 % (668934)Peak memory usage: 10 MB
% 2.47/0.85 % (668934)Instructions burned: 43 (million)
% 2.47/0.85 % (668944)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.85 % (668941)Refutation not found, incomplete strategy
% 2.47/0.85 % (668941)------------------------------
% 2.47/0.85 % (668941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668941)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668941)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.85 % (668941)Time elapsed: 0.022 s
% 2.47/0.85 % (668941)Peak memory usage: 13 MB
% 2.47/0.85 % (668941)Instructions burned: 53 (million)
% 2.47/0.85 % (668941)------------------------------
% 2.47/0.85 % (668941)------------------------------
% 2.47/0.85 % (668944)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1879349889:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.47/0.85 % (668944)Instruction limit reached!
% 2.47/0.85 % (668944)------------------------------
% 2.47/0.85 % (668944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.85 % (668944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.85 % (668944)CaDiCaL version: 2.1.3
% 2.47/0.85 % (668944)Termination reason: Instruction limit
% 2.47/0.85 % (668944)Termination phase: shuffling
% 2.47/0.85 % (668944)Time elapsed: 0.006 s
% 2.47/0.85 % (668944)Peak memory usage: 10 MB
% 2.47/0.85 % (668944)Instructions burned: 7 (million)
% 2.47/0.85 % (668937) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-668864-668937"...
% 2.47/0.85 % (668947)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=381590519:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.47/0.85 % (668937)...printing done.
% 2.47/0.85 % (668937)Refutation found. Thanks to Tanya!
% 2.47/0.85 % SZS status Theorem for theBenchmark
% 2.47/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.86 % (668937)------------------------------
% 2.47/0.86 % (668937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.86 % (668937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.86 % (668937)CaDiCaL version: 2.1.3
% 2.47/0.86 % (668937)Termination reason: Refutation
% 2.47/0.86 % (668937)Time elapsed: 0.052 s
% 2.47/0.86 % (668937)Peak memory usage: 13 MB
% 2.47/0.86 % (668937)Instructions burned: 62 (million)
% 2.47/0.86 % (668864)Success in time 0.449 s
% 2.47/0.86 % Vampire exiting
%------------------------------------------------------------------------------