%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG251^2 : 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 : n009.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 07:45:12 AM UTC 2026
% Result : Theorem 2.63s 0.85s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 9
% Syntax : Number of formulae : 127 ( 84 unt; 0 typ; 2 def)
% Number of atoms : 623 ( 193 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1071 ( 34 ~; 62 |; 0 &; 736 @)
% ( 2 <=>; 152 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 149 ( 145 usr; 119 con; 0-4 aty)
% ( 85 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 205 ( 0 sgn 93 !; 0 ?; 205 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_6,type,
subst: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
one: term ).
thf(func_def_1,type,
ap: term > term > term ).
thf(func_def_2,type,
lam: term > term ).
thf(func_def_3,type,
sub: term > subst > term ).
thf(func_def_4,type,
id: subst ).
thf(func_def_5,type,
sh: subst ).
thf(func_def_6,type,
push: term > subst > subst ).
thf(func_def_7,type,
comp: subst > subst > subst ).
thf(func_def_8,type,
var: term > $o ).
thf(func_def_9,type,
pushprop_lem1v2: $o ).
thf(func_def_10,type,
pushprop_lem1_gthm: $o ).
thf(func_def_11,type,
axmap: $o ).
thf(func_def_12,type,
pushprop_lem0_gthm: $o ).
thf(func_def_13,type,
shinj: $o ).
thf(func_def_14,type,
hoasinduction_lem1v2: $o ).
thf(func_def_15,type,
hoasinduction_lem1v2_gthm: $o ).
thf(func_def_16,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_17,type,
induction2lem: $o ).
thf(func_def_18,type,
hoasinduction_lem3v2_f: $o ).
thf(func_def_19,type,
axvarshift: $o ).
thf(func_def_20,type,
hoasapinj2: $o ).
thf(func_def_21,type,
hoasapnotvar_gthm: $o ).
thf(func_def_22,type,
hoasapinj1: $o ).
thf(func_def_23,type,
ulamvar1: $o ).
thf(func_def_24,type,
induction2lem_lthm: $o ).
thf(func_def_25,type,
hoasinduction_lem3v2_gthm: $o ).
thf(func_def_26,type,
apnotvar: $o ).
thf(func_def_27,type,
pushprop_lthm_orig: $o ).
thf(func_def_28,type,
hoasinduction_lem3v2_f_lthm: $o ).
thf(func_def_29,type,
hoasinduction_lthm: $o ).
thf(func_def_30,type,
hoasinduction_no_psi_cond_lthm: $o ).
thf(func_def_31,type,
hoaslaminj: $o ).
thf(func_def_32,type,
hoasinduction_lem3aaa: $o ).
thf(func_def_33,type,
induction2lem_gthm: $o ).
thf(func_def_34,type,
hoasinduction_lem3aa_lthm: $o ).
thf(func_def_35,type,
hoasinduction_lem3: $o ).
thf(func_def_36,type,
hoasinduction_lem2: $o ).
thf(func_def_37,type,
termmset_lthm: $o ).
thf(func_def_38,type,
hoasinduction_lem1: $o ).
thf(func_def_39,type,
hoaslamnotap_lthm: $o ).
thf(func_def_40,type,
pushprop_lem1v2_lthm: $o ).
thf(func_def_41,type,
hoasapnotvar: $o ).
thf(func_def_42,type,
hoasinduction_lem0: $o ).
thf(func_def_43,type,
hoasinduction: $o ).
thf(func_def_44,type,
hoasinduction_gthm: $o ).
thf(func_def_45,type,
axapp: $o ).
thf(func_def_46,type,
hoaslamnotvar_lthm: $o ).
thf(func_def_47,type,
pushprop_lem3v2_lthm: $o ).
thf(func_def_48,type,
hoasinduction_lem3b_lthm: $o ).
thf(func_def_49,type,
ulamvarind: $o ).
thf(func_def_50,type,
induction: $o ).
thf(func_def_51,type,
hoasinduction_lem3a_lthm: $o ).
thf(func_def_52,type,
termmset_gthm: $o ).
thf(func_def_53,type,
hoasinduction_lem3aa: $o ).
thf(func_def_54,type,
pushprop_lem1v2_gthm: $o ).
thf(func_def_55,type,
hoaslamnotap_gthm: $o ).
thf(func_def_56,type,
hoaslamnotvar_gthm: $o ).
thf(func_def_57,type,
hoasinduction_lem3b_gthm: $o ).
thf(func_def_58,type,
pushprop_lem2v2: $o ).
thf(func_def_59,type,
hoasinduction_lem3a_gthm: $o ).
thf(func_def_60,type,
axclos: $o ).
thf(func_def_61,type,
axassoc: $o ).
thf(func_def_62,type,
hoasinduction_lem2v2: $o ).
thf(func_def_63,type,
pushprop_lthm: $o ).
thf(func_def_64,type,
apinj2: $o ).
thf(func_def_65,type,
apinj1: $o ).
thf(func_def_66,type,
hoasapinj2_lthm: $o ).
thf(func_def_67,type,
hoasinduction_lem3v2a: $o ).
thf(func_def_68,type,
hoasapinj1_lthm: $o ).
thf(func_def_69,type,
hoaslaminj_lthm: $o ).
thf(func_def_70,type,
axvarcons: $o ).
thf(func_def_71,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_72,type,
axscons: $o ).
thf(func_def_73,type,
hoasinduction_lem2v2_gthm: $o ).
thf(func_def_74,type,
axidr: $o ).
thf(func_def_75,type,
pushprop_lem1: $o ).
thf(func_def_76,type,
laminj: $o ).
thf(func_def_77,type,
hoasinduction_lem3_lthm: $o ).
thf(func_def_78,type,
pushprop_lem0: $o ).
thf(func_def_79,type,
pushprop_gthm: $o ).
thf(func_def_80,type,
axabs: $o ).
thf(func_def_81,type,
hoasinduction_lem3v2a_lthm: $o ).
thf(func_def_82,type,
hoasinduction_lem2_lthm: $o ).
thf(func_def_83,type,
hoasapinj2_gthm: $o ).
thf(func_def_84,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_85,type,
hoasinduction_lem1_lthm: $o ).
thf(func_def_86,type,
lamnotap: $o ).
thf(func_def_87,type,
hoasapinj1_gthm: $o ).
thf(func_def_88,type,
hoaslamnotvar: $o ).
thf(func_def_89,type,
axidl: $o ).
thf(func_def_90,type,
hoaslaminj_gthm: $o ).
thf(func_def_91,type,
induction2_lthm: $o ).
thf(func_def_92,type,
hoasinduction_lem0_lthm: $o ).
thf(func_def_93,type,
substmonoid_lthm: $o ).
thf(func_def_94,type,
pushprop: $o ).
thf(func_def_95,type,
hoasinduction_lem3_gthm: $o ).
thf(func_def_96,type,
hoasinduction_lem2_gthm: $o ).
thf(func_def_97,type,
hoasinduction_lem3b: $o ).
thf(func_def_98,type,
substmonoid: $o ).
thf(func_def_99,type,
lamnotvar: $o ).
thf(func_def_100,type,
hoasinduction_lem3a: $o ).
thf(func_def_101,type,
hoasinduction_lem1_gthm: $o ).
thf(func_def_102,type,
hoasinduction_no_psi_cond: $o ).
thf(func_def_103,type,
induction2_gthm: $o ).
thf(func_def_104,type,
pushprop_lem2v2_lthm: $o ).
thf(func_def_105,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_106,type,
hoaslamnotap: $o ).
thf(func_def_107,type,
substmonoid_gthm: $o ).
thf(func_def_108,type,
ulamvarsh: $o ).
thf(func_def_109,type,
induction2: $o ).
thf(func_def_110,type,
pushprop_lem3v2: $o ).
thf(func_def_111,type,
pushprop_lem2v2_gthm: $o ).
thf(func_def_112,type,
pushprop_lem1_lthm: $o ).
thf(func_def_113,type,
hoasinduction_lem3v2: $o ).
thf(func_def_114,type,
axshiftcons: $o ).
thf(func_def_115,type,
termmset: $o ).
thf(func_def_116,type,
pushprop_lem0_lthm: $o ).
thf(func_def_117,type,
hoasapnotvar_lthm: $o ).
thf(func_def_118,type,
hoasinduction_lem3v2_lthm: $o ).
thf(func_def_119,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_120,type,
axvarid: $o ).
thf(func_def_121,type,
hoasinduction_lthm_3: $o ).
thf(func_def_123,type,
vIMP: $o > $o > $o ).
thf(func_def_124,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_125,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_128,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_131,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_132,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_133,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_134,type,
vNOT: $o > $o ).
thf(func_def_135,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_136,type,
vAND: $o > $o > $o ).
thf(func_def_137,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_138,type,
vIFF: $o > $o > $o ).
thf(func_def_139,type,
sK0: subst > term > ( term > $o ) > term > $o ).
thf(func_def_140,type,
sK1: term > $o ).
thf(func_def_141,type,
sK2: term ).
thf(func_def_142,type,
sK3: subst ).
thf(func_def_143,type,
sK4: term ).
thf(func_def_144,type,
sK5: ( term > $o ) > term ).
thf(f2,axiom,
! [X0: term,X1: subst] :
( ( ( sub @ one @ ( push @ X0 @ X1 ) )
= X0 )
= axvarcons ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axvarcons) ).
thf(f5,axiom,
( axclos
= ( ! [X0: term,X2: subst,X1: subst] :
( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axclos) ).
thf(f7,axiom,
! [X0: term,X1: subst] :
( ( ( comp @ sh @ ( push @ X0 @ X1 ) )
= X1 )
= axshiftcons ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',axshiftcons) ).
thf(f15,axiom,
! [X0: term > $o] :
( ( ( X0 @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( ( X0 @ X1 )
=> ( X0 @ ( sub @ X1 @ sh ) ) ) )
=> ! [X1: term] :
( ( var @ X1 )
=> ( X0 @ X1 ) ) ) )
= ulamvarind ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',ulamvarind) ).
thf(f39,axiom,
( pushprop
= ( ! [X2: subst,X1: term,X0: term > $o] :
( ! [X3: term] :
( ( var @ X3 )
=> ( X0 @ ( sub @ X3 @ X2 ) ) )
=> ( ( X0 @ X1 )
=> ! [X3: term] :
( ( var @ X3 )
=> ( X0 @ ( sub @ X3 @ ( push @ X1 @ X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',pushprop) ).
thf(f42,axiom,
( pushprop_lem0
=> ( ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) )
= pushprop_lthm ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax',pushprop_lthm) ).
thf(f114,conjecture,
pushprop_lthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f115,negated_conjecture,
~ pushprop_lthm,
inference(negated_conjecture,[status(cth)],[f114]) ).
thf(f122,plain,
~ pushprop_lthm,
inference(rectify,[],[f115]) ).
thf(f123,plain,
pushprop_lthm != $true,
inference(fool_elimination,[],[f122]) ).
thf(f128,plain,
( pushprop_lem0
=> ( ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) )
= pushprop_lthm ) ),
inference(rectify,[],[f42]) ).
thf(f129,plain,
( pushprop_lthm
= ( pushprop_lem0
=> ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ) ),
inference(fool_elimination,[],[f128]) ).
thf(f206,plain,
( pushprop
= ( ! [X0: subst,X1: term,X2: term > $o] :
( ! [X3: term] :
( ( var @ X3 )
=> ( X2 @ ( sub @ X3 @ X0 ) ) )
=> ( ( X2 @ X1 )
=> ! [X4: term] :
( ( var @ X4 )
=> ( X2 @ ( sub @ X4 @ ( push @ X1 @ X0 ) ) ) ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f207,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f206]) ).
thf(f214,plain,
( axclos
= ( ! [X0: term,X1: subst,X2: subst] :
( ( sub @ ( sub @ X0 @ X2 ) @ X1 )
= ( sub @ X0 @ ( comp @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f215,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sub @ Y2 @ Y0 ) @ Y1 )
= ( sub @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f214]) ).
thf(f226,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f252,plain,
! [X0: term > $o] :
( ( ( X0 @ one )
=> ( ! [X1: term] :
( ( var @ X1 )
=> ( ( X0 @ X1 )
=> ( X0 @ ( sub @ X1 @ sh ) ) ) )
=> ! [X2: term] :
( ( var @ X2 )
=> ( X0 @ X2 ) ) ) )
= ulamvarind ),
inference(rectify,[],[f15]) ).
thf(f253,plain,
( ulamvarind
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f252]) ).
thf(f272,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f320,plain,
pushprop_lthm != $true,
inference(flattening,[],[f123]) ).
thf(f321,plain,
( axclos
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sub @ Y2 @ Y0 ) @ Y1 )
= ( sub @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f215]) ).
thf(f322,plain,
( pushprop_lthm
= ( pushprop_lem0
=> ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f129]) ).
thf(f323,plain,
( pushprop
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f207]) ).
thf(f324,plain,
pushprop_lthm != $true,
inference(cnf_transformation,[],[f320]) ).
thf(f325,plain,
( ulamvarind
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f253]) ).
thf(f328,plain,
( axshiftcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(cnf_transformation,[],[f272]) ).
thf(f329,plain,
( axvarcons
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(cnf_transformation,[],[f226]) ).
thf(f332,plain,
( ( $true != $true )
| ( pushprop_lthm = $false ) ),
inference(fool_paramodulation,[],[f324]) ).
thf(f333,plain,
pushprop_lthm = $false,
inference(trivial_inequality_removal,[],[f332]) ).
thf(f335,plain,
( ( pushprop_lem0
=> ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f322,f333]) ).
thf(f336,plain,
( ( ulamvar1
=> ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f335]) ).
thf(f338,plain,
( $false
= ( axvarcons
=> ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ) ) ),
inference(imp_proxy_clausification,[],[f336]) ).
thf(f340,plain,
( ( axclos
=> ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f338]) ).
thf(f341,plain,
axvarcons = $true,
inference(imp_proxy_clausification,[],[f338]) ).
thf(f342,plain,
( $false
= ( axshiftcons
=> ( ulamvarind
=> pushprop ) ) ),
inference(imp_proxy_clausification,[],[f340]) ).
thf(f343,plain,
axclos = $true,
inference(imp_proxy_clausification,[],[f340]) ).
thf(f344,plain,
( ( ulamvarind
=> pushprop )
= $false ),
inference(imp_proxy_clausification,[],[f342]) ).
thf(f345,plain,
axshiftcons = $true,
inference(imp_proxy_clausification,[],[f342]) ).
thf(f346,plain,
pushprop = $false,
inference(imp_proxy_clausification,[],[f344]) ).
thf(f347,plain,
ulamvarind = $true,
inference(imp_proxy_clausification,[],[f344]) ).
thf(f359,plain,
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) ) ) ),
inference(backward_demodulation,[],[f329,f341]) ).
thf(f361,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ one @ ( push @ Y1 @ Y0 ) )
= Y1 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f359]) ).
thf(f362,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 ) ) ),
inference(beta-eta_normalization,[],[f361]) ).
thf(f363,plain,
! [X2: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( ( sub @ one @ ( push @ Y0 @ X1 ) )
= Y0 )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f362]) ).
thf(f364,plain,
! [X2: term,X1: subst] :
( $true
= ( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ) ),
inference(beta-eta_normalization,[],[f363]) ).
thf(f365,plain,
! [X2: term,X1: subst] :
( ( sub @ one @ ( push @ X2 @ X1 ) )
= X2 ),
inference(equality_proxy_clausification,[],[f364]) ).
thf(f366,plain,
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sub @ Y2 @ Y0 ) @ Y1 )
= ( sub @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f321,f343]) ).
thf(f368,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sub @ ( sub @ Y2 @ Y0 ) @ Y1 )
= ( sub @ Y2 @ ( comp @ Y0 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f366]) ).
thf(f369,plain,
! [X1: subst] :
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sub @ Y1 @ X1 ) @ Y0 )
= ( sub @ Y1 @ ( comp @ X1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f368]) ).
thf(f370,plain,
! [X2: subst,X1: subst] :
( ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( sub @ ( sub @ Y1 @ X1 ) @ Y0 )
= ( sub @ Y1 @ ( comp @ X1 @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f369]) ).
thf(f371,plain,
! [X2: subst,X1: subst] :
( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ ( sub @ Y0 @ X1 ) @ X2 )
= ( sub @ Y0 @ ( comp @ X1 @ X2 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f370]) ).
thf(f372,plain,
! [X2: subst,X3: term,X1: subst] :
( $true
= ( ^ [Y0: term] :
( ( sub @ ( sub @ Y0 @ X1 ) @ X2 )
= ( sub @ Y0 @ ( comp @ X1 @ X2 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f371]) ).
thf(f373,plain,
! [X2: subst,X3: term,X1: subst] :
( $true
= ( ( sub @ ( sub @ X3 @ X1 ) @ X2 )
= ( sub @ X3 @ ( comp @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f372]) ).
thf(f374,plain,
! [X2: subst,X3: term,X1: subst] :
( ( sub @ ( sub @ X3 @ X1 ) @ X2 )
= ( sub @ X3 @ ( comp @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f373]) ).
thf(f375,plain,
( $true
= ( !! @ subst
@ ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) ) ) ),
inference(backward_demodulation,[],[f328,f345]) ).
thf(f377,plain,
! [X1: subst] :
( $true
= ( ^ [Y0: subst] :
( !! @ term
@ ^ [Y1: term] :
( ( comp @ sh @ ( push @ Y1 @ Y0 ) )
= Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f375]) ).
thf(f378,plain,
! [X1: subst] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 ) ) ),
inference(beta-eta_normalization,[],[f377]) ).
thf(f379,plain,
! [X2: term,X1: subst] :
( ( ^ [Y0: term] :
( ( comp @ sh @ ( push @ Y0 @ X1 ) )
= X1 )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f378]) ).
thf(f380,plain,
! [X2: term,X1: subst] :
( ( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 )
= $true ),
inference(beta-eta_normalization,[],[f379]) ).
thf(f381,plain,
! [X2: term,X1: subst] :
( ( comp @ sh @ ( push @ X2 @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f380]) ).
thf(f382,plain,
( ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[],[f323,f346]) ).
thf(f383,plain,
( $false
= ( ^ [Y0: term > $o] :
( !! @ term
@ ^ [Y1: term] :
( !! @ subst
@ ^ [Y2: subst] :
( ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( ( Y0 @ Y1 )
=> ( !! @ term
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ ( push @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f382]) ).
thf(f384,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK1 @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( ( sK1 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK1 @ ( sub @ Y2 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f383]) ).
thf(f385,plain,
( ( ^ [Y0: term] :
( !! @ subst
@ ^ [Y1: subst] :
( ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK1 @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( ( sK1 @ Y0 )
=> ( !! @ term
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( sK1 @ ( sub @ Y2 @ ( push @ Y0 @ Y1 ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f384]) ).
thf(f386,plain,
( $false
= ( !! @ subst
@ ^ [Y0: subst] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK1 @ ( sub @ Y1 @ Y0 ) ) ) )
=> ( ( sK1 @ sK2 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK1 @ ( sub @ Y1 @ ( push @ sK2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f385]) ).
thf(f387,plain,
( ( ^ [Y0: subst] :
( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK1 @ ( sub @ Y1 @ Y0 ) ) ) )
=> ( ( sK1 @ sK2 )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( sK1 @ ( sub @ Y1 @ ( push @ sK2 @ Y0 ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f386]) ).
thf(f388,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ sK3 ) ) ) )
=> ( ( sK1 @ sK2 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ ( push @ sK2 @ sK3 ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f387]) ).
thf(f389,plain,
( ( ( sK1 @ sK2 )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ ( push @ sK2 @ sK3 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f388]) ).
thf(f390,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ sK3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f388]) ).
thf(f391,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ sK3 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f390]) ).
thf(f392,plain,
! [X1: term] :
( $true
= ( ( var @ X1 )
=> ( sK1 @ ( sub @ X1 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f391]) ).
thf(f393,plain,
! [X1: term] :
( ( ( sK1 @ ( sub @ X1 @ sK3 ) )
= $true )
| ( ( var @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f392]) ).
thf(f394,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ ( push @ sK2 @ sK3 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f389]) ).
thf(f395,plain,
( $true
= ( sK1 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f389]) ).
thf(f396,plain,
( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( sK1 @ ( sub @ Y0 @ ( push @ sK2 @ sK3 ) ) ) )
@ sK4 )
= $false ),
inference(sigma_proxy_clausification,[],[f394]) ).
thf(f397,plain,
( $false
= ( ( var @ sK4 )
=> ( sK1 @ ( sub @ sK4 @ ( push @ sK2 @ sK3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f398,plain,
( $false
= ( sK1 @ ( sub @ sK4 @ ( push @ sK2 @ sK3 ) ) ) ),
inference(imp_proxy_clausification,[],[f397]) ).
thf(f399,plain,
( ( var @ sK4 )
= $true ),
inference(imp_proxy_clausification,[],[f397]) ).
thf(f400,plain,
( $true
= ( !! @ ( term > $o )
@ ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f325,f347]) ).
thf(f402,plain,
! [X1: term > $o] :
( $true
= ( ^ [Y0: term > $o] :
( ( Y0 @ one )
=> ( ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( ( Y0 @ Y1 )
=> ( Y0 @ ( sub @ Y1 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f400]) ).
thf(f403,plain,
! [X1: term > $o] :
( $true
= ( ( X1 @ one )
=> ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f402]) ).
thf(f404,plain,
! [X1: term > $o] :
( ( $true
= ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) )
| ( ( X1 @ one )
= $false ) ),
inference(imp_proxy_clausification,[],[f403]) ).
thf(f405,plain,
! [X1: term > $o] :
( ( ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) ) )
= $false )
| ( ( X1 @ one )
= $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f404]) ).
thf(f406,plain,
! [X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) )
@ ( sK5 @ X1 ) )
= $false )
| ( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f405]) ).
thf(f407,plain,
! [X2: term,X1: term > $o] :
( ( ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( ( X1 @ Y0 )
=> ( X1 @ ( sub @ Y0 @ sh ) ) ) )
@ ( sK5 @ X1 ) )
= $false )
| ( $true
= ( ^ [Y0: term] :
( ( var @ Y0 )
=> ( X1 @ Y0 ) )
@ X2 ) )
| ( ( X1 @ one )
= $false ) ),
inference(pi_proxy_clausification,[],[f406]) ).
thf(f408,plain,
! [X2: term,X1: term > $o] :
( ( ( ( var @ ( sK5 @ X1 ) )
=> ( ( X1 @ ( sK5 @ X1 ) )
=> ( X1 @ ( sub @ ( sK5 @ X1 ) @ sh ) ) ) )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true )
| ( ( X1 @ one )
= $false ) ),
inference(beta-eta_normalization,[],[f407]) ).
thf(f409,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ( X1 @ ( sK5 @ X1 ) )
=> ( X1 @ ( sub @ ( sK5 @ X1 ) @ sh ) ) )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f410,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ one )
= $false )
| ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true )
| ( $true
= ( var @ ( sK5 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f411,plain,
! [X2: term,X1: term > $o] :
( ( $true
= ( var @ ( sK5 @ X1 ) ) )
| ( ( X1 @ X2 )
= $true )
| ( ( var @ X2 )
= $false )
| ( ( X1 @ one )
= $false ) ),
inference(imp_proxy_clausification,[],[f410]) ).
thf(f412,plain,
! [X2: term,X1: term > $o] :
( ( ( ( var @ X2 )
=> ( X1 @ X2 ) )
= $true )
| ( ( X1 @ one )
= $false )
| ( ( X1 @ ( sub @ ( sK5 @ X1 ) @ sh ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f409]) ).
thf(f415,plain,
! [X2: term,X1: term > $o] :
( ( ( X1 @ ( sub @ ( sK5 @ X1 ) @ sh ) )
= $false )
| ( ( var @ X2 )
= $false )
| ( ( X1 @ X2 )
= $true )
| ( ( X1 @ one )
= $false ) ),
inference(imp_proxy_clausification,[],[f412]) ).
thf(f416,plain,
! [X2: term,X0: subst,X1: term] :
( ( sub @ X1 @ X0 )
= ( sub @ ( sub @ X1 @ sh ) @ ( push @ X2 @ X0 ) ) ),
inference(constrained_superposition,[],[f374,f381]) ).
thf(f425,plain,
! [X0: term > $o] :
( ( $true
= ( var @ ( sK5 @ X0 ) ) )
| ( $true = $false )
| ( ( X0 @ one )
= $false )
| ( $true
= ( X0 @ sK4 ) ) ),
inference(constrained_superposition,[],[f411,f399]) ).
thf(f443,plain,
! [X0: term > $o] :
( ( $true
= ( var @ ( sK5 @ X0 ) ) )
| ( ( X0 @ one )
= $false )
| ( $true
= ( X0 @ sK4 ) ) ),
inference(trivial_inequality_removal,[],[f425]) ).
thf(f478,plain,
( ( one = sK4 )
| ( $true
= ( var
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) ) ) ) ),
inference(leibniz_equality_elimination,[],[f443]) ).
thf(f484,definition,
( spl6_6
<=> ( $true
= ( var
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
thf(f486,plain,
( ( $true
= ( var
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) ) ) )
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f488,definition,
( spl6_7
<=> ( one = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
thf(f489,plain,
( ( one != sK4 )
| spl6_7 ),
inference(avatar_component_clause,[],[f488]) ).
thf(f490,plain,
( ( one = sK4 )
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f488]) ).
thf(f491,plain,
( spl6_6
| spl6_7 ),
inference(avatar_split_clause,[],[f478,f488,f484]) ).
thf(f614,plain,
( ! [X2: term,X1: subst] :
( ( sub @ sK4 @ ( push @ X2 @ X1 ) )
= X2 )
| ~ spl6_7 ),
inference(backward_demodulation,[],[f365,f490]) ).
thf(f621,plain,
( ( ( sK1 @ sK2 )
= $false )
| ~ spl6_7 ),
inference(backward_demodulation,[],[f398,f614]) ).
thf(f622,plain,
( ( $true = $false )
| ~ spl6_7 ),
inference(backward_demodulation,[],[f395,f621]) ).
thf(f623,plain,
( $false
| ~ spl6_7 ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f624,plain,
~ spl6_7,
inference(avatar_contradiction_clause,[],[f623]) ).
thf(f1005,plain,
! [X0: term > $o] :
( ( ( X0 @ ( sub @ ( sK5 @ X0 ) @ sh ) )
= $false )
| ( $true
= ( X0 @ sK4 ) )
| ( $true = $false )
| ( ( X0 @ one )
= $false ) ),
inference(constrained_superposition,[],[f399,f415]) ).
thf(f1073,plain,
! [X0: term > $o] :
( ( ( X0 @ ( sub @ ( sK5 @ X0 ) @ sh ) )
= $false )
| ( $true
= ( X0 @ sK4 ) )
| ( ( X0 @ one )
= $false ) ),
inference(trivial_inequality_removal,[],[f1005]) ).
thf(f1092,plain,
( ( sK4
= ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ sh ) )
| ( $false
= ( ^ [Y0: term] : ( Y0 != sK4 )
@ one ) ) ),
inference(leibniz_equality_elimination,[],[f1073]) ).
thf(f1111,plain,
( ( ( one != sK4 )
= $false )
| ( sK4
= ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ sh ) ) ),
inference(beta-eta_normalization,[],[f1092]) ).
thf(f1112,plain,
( ( $true
= ( one = sK4 ) )
| ( sK4
= ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ sh ) ) ),
inference(not_proxy_clausification,[],[f1111]) ).
thf(f1113,plain,
( ( sK4
= ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ sh ) )
| ( one = sK4 ) ),
inference(equality_proxy_clausification,[],[f1112]) ).
thf(f1133,plain,
( ( sK4
= ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ sh ) )
| spl6_7 ),
inference(forward_subsumption_resolution,[],[f1113,f489]) ).
thf(f1136,plain,
( ! [X0: subst,X1: term] :
( ( sub
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) )
@ X0 )
= ( sub @ sK4 @ ( push @ X1 @ X0 ) ) )
| spl6_7 ),
inference(constrained_superposition,[],[f416,f1133]) ).
thf(f1152,plain,
( ! [X0: term] :
( ( $true
= ( sK1 @ ( sub @ sK4 @ ( push @ X0 @ sK3 ) ) ) )
| ( ( var
@ ( sK5
@ ^ [Y0: term] : ( Y0 != sK4 ) ) )
= $false ) )
| spl6_7 ),
inference(constrained_superposition,[],[f393,f1136]) ).
thf(f1170,plain,
( ! [X0: term] :
( ( $true
= ( sK1 @ ( sub @ sK4 @ ( push @ X0 @ sK3 ) ) ) )
| ( $true = $false ) )
| ~ spl6_6
| spl6_7 ),
inference(forward_demodulation,[],[f1152,f486]) ).
thf(f1171,plain,
( ! [X0: term] :
( $true
= ( sK1 @ ( sub @ sK4 @ ( push @ X0 @ sK3 ) ) ) )
| ~ spl6_6
| spl6_7 ),
inference(trivial_inequality_removal,[],[f1170]) ).
thf(f1182,plain,
( ( $true = $false )
| ~ spl6_6
| spl6_7 ),
inference(backward_demodulation,[],[f398,f1171]) ).
thf(f1184,plain,
( $false
| ~ spl6_6
| spl6_7 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1185,plain,
( ~ spl6_6
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
cnf(s4,plain,
( spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f491]) ).
cnf(s10,plain,
~ spl6_7,
inference(sat_conversion,[],[f624]) ).
cnf(s21,plain,
( ~ spl6_6
| spl6_7 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s22,plain,
~ spl6_6,
inference(rat,[],[s21,s10]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s4,s10,s22]) ).
thf(f1186,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG251^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n009.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 17:32:30 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running higher-order theorem proving
% 0.23/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/0.50 % (114166)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.08/0.50 % (114172)lrs+10_16_si=on:nwc=1.5:random_seed=2250043618:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.08/0.50 % (114171)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3200766663:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.08/0.50 % (114172)Instruction limit reached!
% 1.08/0.50 % (114172)------------------------------
% 1.08/0.50 % (114172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.50 % (114172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.50 % (114172)CaDiCaL version: 2.1.3
% 1.08/0.50 % (114172)Termination reason: Instruction limit
% 1.08/0.50 % (114172)Termination phase: shuffling
% 1.08/0.50 % (114172)Time elapsed: 0.009 s
% 1.08/0.50 % (114172)Peak memory usage: 10 MB
% 1.08/0.50 % (114172)Instructions burned: 20 (million)
% 1.08/0.50 % (114173)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=116908116:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.08/0.50 % (114180)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2297995704:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.08/0.50 % (114177)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.08/0.50 % (114177)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
% 1.08/0.50 % (114173)Instruction limit reached!
% 1.08/0.50 % (114173)------------------------------
% 1.08/0.50 % (114173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.50 % (114173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.50 % (114173)CaDiCaL version: 2.1.3
% 1.08/0.50 % (114173)Termination reason: Instruction limit
% 1.08/0.50 % (114173)Termination phase: shuffling
% 1.08/0.50 % (114173)Time elapsed: 0.003 s
% 1.08/0.50 % (114173)Peak memory usage: 10 MB
% 1.08/0.50 % (114173)Instructions burned: 6 (million)
% 1.08/0.50 % (114180)Instruction limit reached!
% 1.08/0.50 % (114180)------------------------------
% 1.08/0.50 % (114180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.50 % (114180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.50 % (114180)CaDiCaL version: 2.1.3
% 1.08/0.50 % (114180)Termination reason: Instruction limit
% 1.08/0.50 % (114180)Termination phase: shuffling
% 1.08/0.50 % (114180)Time elapsed: 0.003 s
% 1.08/0.50 % (114180)Peak memory usage: 10 MB
% 1.08/0.50 % (114180)Instructions burned: 5 (million)
% 1.08/0.50 % (114174)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=235918485: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)
% 1.08/0.50 % (114175)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1353391071:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.08/0.50 % (114176)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3409790627:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.08/0.50 % (114177)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=268406880:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.08/0.50 % (114185)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.50 % (114185)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2778701361:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.50 % (114184)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=344439328:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.08/0.50 % (114184)Instruction limit reached!
% 1.08/0.50 % (114184)------------------------------
% 1.08/0.50 % (114184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114184)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114184)Termination reason: Instruction limit
% 1.08/0.57 % (114184)Termination phase: shuffling
% 1.08/0.57 % (114184)Time elapsed: 0.003 s
% 1.08/0.57 % (114184)Peak memory usage: 10 MB
% 1.08/0.57 % (114184)Instructions burned: 6 (million)
% 1.08/0.57 % (114175)Instruction limit reached!
% 1.08/0.57 % (114175)------------------------------
% 1.08/0.57 % (114175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114175)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114175)Termination reason: Instruction limit
% 1.08/0.57 % (114175)Termination phase: shuffling
% 1.08/0.57 % (114175)Time elapsed: 0.021 s
% 1.08/0.57 % (114175)Peak memory usage: 11 MB
% 1.08/0.57 % (114175)Instructions burned: 24 (million)
% 1.08/0.57 % (114185)Instruction limit reached!
% 1.08/0.57 % (114185)------------------------------
% 1.08/0.57 % (114185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114185)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114185)Termination reason: Instruction limit
% 1.08/0.57 % (114185)Termination phase: shuffling
% 1.08/0.57 % (114185)Time elapsed: 0.004 s
% 1.08/0.57 % (114185)Peak memory usage: 10 MB
% 1.08/0.57 % (114185)Instructions burned: 9 (million)
% 1.08/0.57 % (114171)Instruction limit reached!
% 1.08/0.57 % (114171)------------------------------
% 1.08/0.57 % (114171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114171)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114171)Termination reason: Instruction limit
% 1.08/0.57 % (114171)Termination phase: Function definition elimination
% 1.08/0.57 % (114171)Time elapsed: 0.066 s
% 1.08/0.57 % (114171)Peak memory usage: 12 MB
% 1.08/0.57 % (114171)Instructions burned: 87 (million)
% 1.08/0.57 % (114192)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
% 1.08/0.57 % (114192)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.57 % (114193)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=1768294751:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.08/0.57 % (114191)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1060154113:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.57 % (114192)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3217539367:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.57 % (114191)Instruction limit reached!
% 1.08/0.57 % (114191)------------------------------
% 1.08/0.57 % (114191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114191)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114191)Termination reason: Instruction limit
% 1.08/0.57 % (114191)Termination phase: shuffling
% 1.08/0.57 % (114191)Time elapsed: 0.006 s
% 1.08/0.57 % (114191)Peak memory usage: 10 MB
% 1.08/0.57 % (114191)Instructions burned: 13 (million)
% 1.08/0.57 % (114198)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.57 % (114176)Instruction limit reached!
% 1.08/0.57 % (114176)------------------------------
% 1.08/0.57 % (114176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.57 % (114176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.57 % (114176)CaDiCaL version: 2.1.3
% 1.08/0.57 % (114176)Termination reason: Instruction limit
% 1.08/0.57 % (114176)Termination phase: Property scanning
% 1.08/0.57 % (114176)Time elapsed: 0.063 s
% 1.08/0.57 % (114176)Peak memory usage: 12 MB
% 1.08/0.57 % (114176)Instructions burned: 75 (million)
% 1.08/0.57 % (114198)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=482607476:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.66/0.62 % (114198)Instruction limit reached!
% 1.66/0.62 % (114198)------------------------------
% 1.66/0.62 % (114198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114198)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114198)Termination reason: Instruction limit
% 1.66/0.62 % (114198)Termination phase: shuffling
% 1.66/0.62 % (114198)Time elapsed: 0.005 s
% 1.66/0.62 % (114198)Peak memory usage: 10 MB
% 1.66/0.62 % (114198)Instructions burned: 11 (million)
% 1.66/0.62 % (114192)Instruction limit reached!
% 1.66/0.62 % (114192)------------------------------
% 1.66/0.62 % (114192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114192)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114192)Termination reason: Instruction limit
% 1.66/0.62 % (114192)Termination phase: Property scanning
% 1.66/0.62 % (114192)Time elapsed: 0.031 s
% 1.66/0.62 % (114192)Peak memory usage: 10 MB
% 1.66/0.62 % (114193)Instruction limit reached!
% 1.66/0.62 % (114193)------------------------------
% 1.66/0.62 % (114193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114192)Instructions burned: 29 (million)
% 1.66/0.62 % (114193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114193)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114193)Termination reason: Instruction limit
% 1.66/0.62 % (114193)Termination phase: Saturation
% 1.66/0.62 % (114193)Time elapsed: 0.035 s
% 1.66/0.62 % (114193)Peak memory usage: 12 MB
% 1.66/0.62 % (114193)Instructions burned: 87 (million)
% 1.66/0.62 % (114194)lrs+10_1_si=on:cs=on:random_seed=2074441631:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.66/0.62 % (114194)Instruction limit reached!
% 1.66/0.62 % (114194)------------------------------
% 1.66/0.62 % (114194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114194)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114194)Termination reason: Instruction limit
% 1.66/0.62 % (114194)Termination phase: shuffling
% 1.66/0.62 % (114194)Time elapsed: 0.008 s
% 1.66/0.62 % (114194)Peak memory usage: 10 MB
% 1.66/0.62 % (114194)Instructions burned: 9 (million)
% 1.66/0.62 % (114201)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=842391837:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.66/0.62 % (114199)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=74642220:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.66/0.62 % (114203)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2291557935:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.66/0.62 % (114202)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2174489283:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.66/0.62 % (114205)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1535103806:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.66/0.62 % (114201)Refutation not found, incomplete strategy
% 1.66/0.62 % (114201)------------------------------
% 1.66/0.62 % (114201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114201)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114201)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.62 % (114201)Time elapsed: 0.021 s
% 1.66/0.62 % (114201)Peak memory usage: 12 MB
% 1.66/0.62 % (114201)Instructions burned: 50 (million)
% 1.66/0.62 % (114201)------------------------------
% 1.66/0.62 % (114201)------------------------------
% 1.66/0.62 % (114203)Instruction limit reached!
% 1.66/0.62 % (114203)------------------------------
% 1.66/0.62 % (114203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.62 % (114203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.62 % (114203)CaDiCaL version: 2.1.3
% 1.66/0.62 % (114203)Termination reason: Instruction limit
% 2.14/0.71 % (114203)Termination phase: shuffling
% 2.14/0.71 % (114203)Time elapsed: 0.013 s
% 2.14/0.71 % (114203)Peak memory usage: 10 MB
% 2.14/0.71 % (114203)Instructions burned: 15 (million)
% 2.14/0.71 % (114199)Refutation not found, incomplete strategy
% 2.14/0.71 % (114199)------------------------------
% 2.14/0.71 % (114199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.71 % (114199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.71 % (114199)CaDiCaL version: 2.1.3
% 2.14/0.71 % (114199)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.71 % (114199)Time elapsed: 0.023 s
% 2.14/0.71 % (114199)Peak memory usage: 12 MB
% 2.14/0.71 % (114199)Instructions burned: 25 (million)
% 2.14/0.71 % (114199)------------------------------
% 2.14/0.71 % (114199)------------------------------
% 2.14/0.71 % (114177)Instruction limit reached!
% 2.14/0.71 % (114177)------------------------------
% 2.14/0.71 % (114177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.71 % (114177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.71 % (114177)CaDiCaL version: 2.1.3
% 2.14/0.71 % (114177)Termination reason: Instruction limit
% 2.14/0.71 % (114177)Termination phase: Saturation
% 2.14/0.71 % (114177)Time elapsed: 0.127 s
% 2.14/0.71 % (114177)Peak memory usage: 13 MB
% 2.14/0.71 % (114177)Instructions burned: 158 (million)
% 2.14/0.71 % (114202)Instruction limit reached!
% 2.14/0.71 % (114202)------------------------------
% 2.14/0.71 % (114202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.71 % (114202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.71 % (114202)CaDiCaL version: 2.1.3
% 2.14/0.71 % (114202)Termination reason: Instruction limit
% 2.14/0.71 % (114202)Termination phase: Preprocessing 1
% 2.14/0.71 % (114202)Time elapsed: 0.022 s
% 2.14/0.71 % (114202)Peak memory usage: 11 MB
% 2.14/0.71 % (114202)Instructions burned: 25 (million)
% 2.14/0.71 % (114214)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=357405094:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.14/0.71 % (114214)Instruction limit reached!
% 2.14/0.71 % (114214)------------------------------
% 2.14/0.71 % (114214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.71 % (114214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.71 % (114214)CaDiCaL version: 2.1.3
% 2.14/0.71 % (114214)Termination reason: Instruction limit
% 2.14/0.71 % (114214)Termination phase: Property scanning
% 2.14/0.71 % (114214)Time elapsed: 0.011 s
% 2.14/0.71 % (114214)Peak memory usage: 10 MB
% 2.14/0.71 % (114214)Instructions burned: 24 (million)
% 2.14/0.71 % (114217)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.14/0.71 % (114217)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.14/0.71 % (114211)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3329597744:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.14/0.71 % (114217)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=3534124988:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.14/0.71 % (114212)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=383557471:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.14/0.71 % (114211)Instruction limit reached!
% 2.14/0.71 % (114211)------------------------------
% 2.14/0.71 % (114211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.71 % (114211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.71 % (114211)CaDiCaL version: 2.1.3
% 2.14/0.71 % (114211)Termination reason: Instruction limit
% 2.14/0.71 % (114211)Termination phase: shuffling
% 2.14/0.71 % (114211)Time elapsed: 0.007 s
% 2.14/0.71 % (114211)Peak memory usage: 10 MB
% 2.14/0.71 % (114211)Instructions burned: 16 (million)
% 2.14/0.71 % (114217)Instruction limit reached!
% 2.14/0.71 % (114217)------------------------------
% 2.14/0.71 % (114217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114217)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114217)Termination reason: Instruction limit
% 2.14/0.77 % (114217)Termination phase: shuffling
% 2.14/0.77 % (114217)Time elapsed: 0.007 s
% 2.14/0.77 % (114217)Peak memory usage: 10 MB
% 2.14/0.77 % (114217)Instructions burned: 14 (million)
% 2.14/0.77 % (114213)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1971989396:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.14/0.77 % (114212)Instruction limit reached!
% 2.14/0.77 % (114212)------------------------------
% 2.14/0.77 % (114212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114212)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114212)Termination reason: Instruction limit
% 2.14/0.77 % (114212)Termination phase: shuffling
% 2.14/0.77 % (114212)Time elapsed: 0.002 s
% 2.14/0.77 % (114212)Peak memory usage: 10 MB
% 2.14/0.77 % (114212)Instructions burned: 2 (million)
% 2.14/0.77 % (114215)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2530079859:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.14/0.77 % (114223)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=1699033590:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.14/0.77 % (114213)Instruction limit reached!
% 2.14/0.77 % (114213)------------------------------
% 2.14/0.77 % (114213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114213)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114213)Termination reason: Instruction limit
% 2.14/0.77 % (114213)Termination phase: Property scanning
% 2.14/0.77 % (114213)Time elapsed: 0.022 s
% 2.14/0.77 % (114213)Peak memory usage: 10 MB
% 2.14/0.77 % (114213)Instructions burned: 27 (million)
% 2.14/0.77 % (114221)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.14/0.77 % (114221)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=1349642274:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.14/0.77 % (114223)Instruction limit reached!
% 2.14/0.77 % (114223)------------------------------
% 2.14/0.77 % (114223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114223)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114223)Termination reason: Instruction limit
% 2.14/0.77 % (114223)Termination phase: Property scanning
% 2.14/0.77 % (114223)Time elapsed: 0.014 s
% 2.14/0.77 % (114223)Peak memory usage: 10 MB
% 2.14/0.77 % (114223)Instructions burned: 33 (million)
% 2.14/0.77 % (114225)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4282067830:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.14/0.77 % (114225)Instruction limit reached!
% 2.14/0.77 % (114225)------------------------------
% 2.14/0.77 % (114225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114225)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114225)Termination reason: Instruction limit
% 2.14/0.77 % (114225)Termination phase: shuffling
% 2.14/0.77 % (114225)Time elapsed: 0.006 s
% 2.14/0.77 % (114225)Peak memory usage: 10 MB
% 2.14/0.77 % (114225)Instructions burned: 8 (million)
% 2.14/0.77 % (114221)Instruction limit reached!
% 2.14/0.77 % (114221)------------------------------
% 2.14/0.77 % (114221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.77 % (114221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.77 % (114221)CaDiCaL version: 2.1.3
% 2.14/0.77 % (114221)Termination reason: Instruction limit
% 2.14/0.77 % (114221)Termination phase: shuffling
% 2.14/0.77 % (114221)Time elapsed: 0.008 s
% 2.14/0.77 % (114221)Peak memory usage: 10 MB
% 2.14/0.77 % (114221)Instructions burned: 8 (million)
% 2.14/0.77 % (114215)Instruction limit reached!
% 2.14/0.77 % (114215)------------------------------
% 2.63/0.85 % (114215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114215)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114215)Termination reason: Instruction limit
% 2.63/0.85 % (114215)Termination phase: Property scanning
% 2.63/0.85 % (114215)Time elapsed: 0.051 s
% 2.63/0.85 % (114215)Peak memory usage: 12 MB
% 2.63/0.85 % (114215)Instructions burned: 60 (million)
% 2.63/0.85 % (114227)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2177922654:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.63/0.85 % (114231)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1511972874:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.63/0.85 % (114230)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1817642099:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.63/0.85 % (114230)Instruction limit reached!
% 2.63/0.85 % (114230)------------------------------
% 2.63/0.85 % (114230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114230)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114230)Termination reason: Instruction limit
% 2.63/0.85 % (114230)Termination phase: shuffling
% 2.63/0.85 % (114230)Time elapsed: 0.017 s
% 2.63/0.85 % (114230)Peak memory usage: 10 MB
% 2.63/0.85 % (114230)Instructions burned: 20 (million)
% 2.63/0.85 % (114227)Instruction limit reached!
% 2.63/0.85 % (114227)------------------------------
% 2.63/0.85 % (114227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114227)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114227)Termination reason: Instruction limit
% 2.63/0.85 % (114227)Termination phase: Property scanning
% 2.63/0.85 % (114227)Time elapsed: 0.023 s
% 2.63/0.85 % (114227)Peak memory usage: 10 MB
% 2.63/0.85 % (114227)Instructions burned: 24 (million)
% 2.63/0.85 % (114232)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1807654067:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.63/0.85 % (114233)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2188344114:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.63/0.85 % (114238)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.63/0.85 % (114238)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=908701939:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.63/0.85 % (114238)Instruction limit reached!
% 2.63/0.85 % (114238)------------------------------
% 2.63/0.85 % (114238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114238)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114238)Termination reason: Instruction limit
% 2.63/0.85 % (114238)Termination phase: shuffling
% 2.63/0.85 % (114238)Time elapsed: 0.004 s
% 2.63/0.85 % (114238)Peak memory usage: 10 MB
% 2.63/0.85 % (114238)Instructions burned: 8 (million)
% 2.63/0.85 % (114237)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3190440289:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.63/0.85 % (114242)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=748658484:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.63/0.85 % (114237)Instruction limit reached!
% 2.63/0.85 % (114237)------------------------------
% 2.63/0.85 % (114237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114237)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114237)Termination reason: Instruction limit
% 2.63/0.85 % (114237)Termination phase: Property scanning
% 2.63/0.85 % (114237)Time elapsed: 0.034 s
% 2.63/0.85 % (114237)Peak memory usage: 10 MB
% 2.63/0.85 % (114237)Instructions burned: 42 (million)
% 2.63/0.85 % (114232)Instruction limit reached!
% 2.63/0.85 % (114232)------------------------------
% 2.63/0.85 % (114232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114232)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114232)Termination reason: Instruction limit
% 2.63/0.85 % (114232)Termination phase: Saturation
% 2.63/0.85 % (114232)Time elapsed: 0.063 s
% 2.63/0.85 % (114232)Peak memory usage: 13 MB
% 2.63/0.85 % (114232)Instructions burned: 145 (million)
% 2.63/0.85 % (114242)Refutation not found, incomplete strategy
% 2.63/0.85 % (114242)------------------------------
% 2.63/0.85 % (114242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114242)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114242)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.85 % (114242)Time elapsed: 0.023 s
% 2.63/0.85 % (114242)Peak memory usage: 13 MB
% 2.63/0.85 % (114242)Instructions burned: 49 (million)
% 2.63/0.85 % (114242)------------------------------
% 2.63/0.85 % (114242)------------------------------
% 2.63/0.85 % (114246)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.85 % (114247)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3707424727:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.63/0.85 % (114246)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3673807117:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 2.63/0.85 % (114246)Instruction limit reached!
% 2.63/0.85 % (114246)------------------------------
% 2.63/0.85 % (114246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114246)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114246)Termination reason: Instruction limit
% 2.63/0.85 % (114246)Termination phase: shuffling
% 2.63/0.85 % (114246)Time elapsed: 0.003 s
% 2.63/0.85 % (114246)Peak memory usage: 9 MB
% 2.63/0.85 % (114246)Instructions burned: 6 (million)
% 2.63/0.85 % (114245)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=862923574:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 2.63/0.85 % (114247)Instruction limit reached!
% 2.63/0.85 % (114247)------------------------------
% 2.63/0.85 % (114247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114247)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114247)Termination reason: Instruction limit
% 2.63/0.85 % (114247)Termination phase: Property scanning
% 2.63/0.85 % (114247)Time elapsed: 0.010 s
% 2.63/0.85 % (114247)Peak memory usage: 10 MB
% 2.63/0.85 % (114247)Instructions burned: 23 (million)
% 2.63/0.85 % (114250)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3461316859:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.63/0.85 % (114205)Instruction limit reached!
% 2.63/0.85 % (114205)------------------------------
% 2.63/0.85 % (114205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114205)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114205)Termination reason: Instruction limit
% 2.63/0.85 % (114205)Termination phase: Saturation
% 2.63/0.85 % (114205)Time elapsed: 0.280 s
% 2.63/0.85 % (114205)Peak memory usage: 15 MB
% 2.63/0.85 % (114205)Instructions burned: 328 (million)
% 2.63/0.85 % (114252)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2891804815:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.63/0.85 % (114250)Instruction limit reached!
% 2.63/0.85 % (114250)------------------------------
% 2.63/0.85 % (114250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114250)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114250)Termination reason: Instruction limit
% 2.63/0.85 % (114250)Termination phase: Property scanning
% 2.63/0.85 % (114250)Time elapsed: 0.009 s
% 2.63/0.85 % (114250)Peak memory usage: 10 MB
% 2.63/0.85 % (114250)Instructions burned: 21 (million)
% 2.63/0.85 % (114256)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1775272720:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.63/0.85 % (114255)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1866716898:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.63/0.85 % (114233)Instruction limit reached!
% 2.63/0.85 % (114233)------------------------------
% 2.63/0.85 % (114233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114233)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114233)Termination reason: Instruction limit
% 2.63/0.85 % (114233)Termination phase: Saturation
% 2.63/0.85 % (114233)Time elapsed: 0.151 s
% 2.63/0.85 % (114233)Peak memory usage: 14 MB
% 2.63/0.85 % (114233)Instructions burned: 194 (million)
% 2.63/0.85 % (114256)Instruction limit reached!
% 2.63/0.85 % (114256)------------------------------
% 2.63/0.85 % (114256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114256)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114256)Termination reason: Instruction limit
% 2.63/0.85 % (114256)Termination phase: Preprocessing 3
% 2.63/0.85 % (114256)Time elapsed: 0.028 s
% 2.63/0.85 % (114256)Peak memory usage: 11 MB
% 2.63/0.85 % (114256)Instructions burned: 46 (million)
% 2.63/0.85 % (114259)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3992696101:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.63/0.85 % (114245) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-114166-114245"...
% 2.63/0.85 % (114245)...printing done.
% 2.63/0.85 % (114245)Refutation found. Thanks to Tanya!
% 2.63/0.85 % SZS status Theorem for theBenchmark
% 2.63/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/0.85 % (114245)------------------------------
% 2.63/0.85 % (114245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.85 % (114245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.85 % (114245)CaDiCaL version: 2.1.3
% 2.63/0.85 % (114245)Termination reason: Refutation
% 2.63/0.85 % (114245)Time elapsed: 0.095 s
% 2.63/0.85 % (114245)Peak memory usage: 14 MB
% 2.63/0.85 % (114245)Instructions burned: 105 (million)
% 2.63/0.85 % (114166)Success in time 0.543 s
% 2.63/0.85 % Vampire exiting
%------------------------------------------------------------------------------