%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:13 AM UTC 2026
% Result : Theorem 0.52s 0.41s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 112 ( 11 ~; 3 |; 0 &; 83 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 122 ( 118 usr; 8 con; 0-4 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 22 ( 15 ^; 7 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_se933006839lle_hf: $tType ).
thf(type_def_6,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_7,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_8,type,
set_nat: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
finite1213132899lle_hf: set_HF_Mirabelle_hf > nat ).
thf(func_def_1,type,
finite_card_nat: set_nat > nat ).
thf(func_def_2,type,
finite90088345lle_hf: set_se933006839lle_hf > nat ).
thf(func_def_3,type,
finite586181922lle_hf: set_HF_Mirabelle_hf > $o ).
thf(func_def_4,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_5,type,
finite1450550360lle_hf: set_se933006839lle_hf > $o ).
thf(func_def_6,type,
inj_on755450110lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > $o ).
thf(func_def_7,type,
inj_on1874279374hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > $o ).
thf(func_def_8,type,
inj_on1988990670lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > $o ).
thf(func_def_9,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(func_def_10,type,
inj_on811196232lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > $o ).
thf(func_def_11,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_12,type,
zero_zero_nat: nat ).
thf(func_def_13,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_15,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_16,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_17,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_18,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_19,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_20,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_21,type,
ord_le1310584031lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_22,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_23,type,
ord_le1344122901lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_24,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(func_def_25,type,
ord_le2017230260lle_hf: ( $o > hF_Mirabelle_hf ) > ( $o > hF_Mirabelle_hf ) > $o ).
thf(func_def_26,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(func_def_27,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_28,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_29,type,
ord_le432112161lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_30,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_31,type,
order_1640852850lle_hf: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_32,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_33,type,
order_690706045lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > $o ).
thf(func_def_34,type,
order_557194383hf_nat: ( hF_Mirabelle_hf > nat ) > $o ).
thf(func_def_35,type,
order_671905679lle_hf: ( nat > hF_Mirabelle_hf ) > $o ).
thf(func_def_36,type,
order_1631207636at_nat: ( nat > nat ) > $o ).
thf(func_def_37,type,
orderi1737556723lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > $o ).
thf(func_def_38,type,
ordering_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(func_def_39,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_40,type,
collec1758573718lle_hf: ( set_HF_Mirabelle_hf > $o ) > set_se933006839lle_hf ).
thf(func_def_41,type,
image_1743964010lle_hf: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_42,type,
image_131453538hf_nat: ( hF_Mirabelle_hf > nat ) > set_HF_Mirabelle_hf > set_nat ).
thf(func_def_43,type,
image_246164834lle_hf: ( nat > hF_Mirabelle_hf ) > set_nat > set_HF_Mirabelle_hf ).
thf(func_def_44,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_45,type,
image_899003828lle_hf: ( set_HF_Mirabelle_hf > hF_Mirabelle_hf ) > set_se933006839lle_hf > set_HF_Mirabelle_hf ).
thf(func_def_46,type,
set_or1544565540an_nat: nat > nat > set_nat ).
thf(func_def_47,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_48,type,
member_nat: nat > set_nat > $o ).
thf(func_def_49,type,
member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o ).
thf(func_def_50,type,
a: hF_Mirabelle_hf ).
thf(func_def_51,type,
b: hF_Mirabelle_hf ).
thf(func_def_55,type,
vAND: $o > $o > $o ).
thf(func_def_56,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_58,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_59,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_61,type,
vNOT: $o > $o ).
thf(func_def_62,type,
vOR: $o > $o > $o ).
thf(func_def_63,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_64,type,
vIMP: $o > $o > $o ).
thf(func_def_65,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
sK0: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_67,type,
sK1: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_68,type,
sK2: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_69,type,
sK3: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_70,type,
sK4: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_71,type,
sK5: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_72,type,
sK6: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_73,type,
sK7: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_74,type,
sK8: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_75,type,
sK9: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_76,type,
sK10: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_77,type,
sK11: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_78,type,
sK12: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_79,type,
sK13: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_80,type,
sK14: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_81,type,
sK15: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_82,type,
sK16: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_83,type,
sK17: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_84,type,
sK18: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_85,type,
sK19: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_86,type,
sK20: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_87,type,
sK21: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_88,type,
sK22: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_89,type,
sK23: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_90,type,
sK24: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_91,type,
sK25: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_92,type,
sK26: ( hF_Mirabelle_hf > nat ) > hF_Mirabelle_hf ).
thf(func_def_93,type,
sK27: hF_Mirabelle_hf > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_94,type,
sK28: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_95,type,
sK29: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_96,type,
sK30: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_97,type,
sK31: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_98,type,
sK32: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_99,type,
sK33: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_100,type,
sK34: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_101,type,
sK35: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_102,type,
sK36: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_103,type,
sK37: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_104,type,
sK38: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_105,type,
sK39: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_106,type,
sK40: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_107,type,
sK41: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_108,type,
sK42: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_109,type,
sK43: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_110,type,
sK44: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_111,type,
sK45: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_112,type,
sK46: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_113,type,
sK47: ( nat > hF_Mirabelle_hf ) > nat ).
thf(func_def_114,type,
sK48: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_115,type,
sK49: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_116,type,
sK50: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_117,type,
sK51: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_118,type,
sK52: ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_119,type,
sK53: hF_Mirabelle_hf ).
thf(f7,axiom,
( ord_le976219883lle_hf
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ X0 )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_less__eq__hf__def) ).
thf(f348,axiom,
! [X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ a )
=> ( hF_Mirabelle_hmem @ X0 @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f349,conjecture,
ord_le976219883lle_hf @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f350,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(negated_conjecture,[status(cth)],[f349]) ).
thf(f577,plain,
( ord_le976219883lle_hf
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ X0 )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f578,plain,
( ord_le976219883lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
=> ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f577]) ).
thf(f761,plain,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(rectify,[],[f350]) ).
thf(f762,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(fool_elimination,[],[f761]) ).
thf(f981,plain,
! [X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ a )
=> ( hF_Mirabelle_hmem @ X0 @ b ) ),
inference(rectify,[],[f348]) ).
thf(f982,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ a )
= $true )
=> ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true ) ),
inference(fool_elimination,[],[f981]) ).
thf(f1027,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(flattening,[],[f762]) ).
thf(f1107,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true )
| ( ( hF_Mirabelle_hmem @ X0 @ a )
!= $true ) ),
inference(ennf_transformation,[],[f982]) ).
thf(f1182,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X0 @ b )
= $true )
| ( ( hF_Mirabelle_hmem @ X0 @ a )
!= $true ) ),
inference(cnf_transformation,[],[f1107]) ).
thf(f1186,plain,
( ord_le976219883lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
=> ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f578]) ).
thf(f1236,plain,
( ( ord_le976219883lle_hf @ a @ b )
!= $true ),
inference(cnf_transformation,[],[f1027]) ).
thf(f1308,plain,
( $true
!= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y2 @ Y0 )
=> ( hF_Mirabelle_hmem @ Y2 @ Y1 ) ) )
@ a
@ b ) ),
inference(definition_unfolding,[],[f1236,f1186]) ).
thf(f1414,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ a )
=> ( hF_Mirabelle_hmem @ Y0 @ b ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f1308]) ).
thf(f1415,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ a )
=> ( hF_Mirabelle_hmem @ Y0 @ b ) )
@ sK53 )
= $false ),
inference(sigma_proxy_clausification,[],[f1414]) ).
thf(f1416,plain,
( ( ( hF_Mirabelle_hmem @ sK53 @ a )
=> ( hF_Mirabelle_hmem @ sK53 @ b ) )
= $false ),
inference(beta-eta_normalization,[],[f1415]) ).
thf(f1417,plain,
( $false
= ( hF_Mirabelle_hmem @ sK53 @ b ) ),
inference(imp_proxy_clausification,[],[f1416]) ).
thf(f1418,plain,
( ( hF_Mirabelle_hmem @ sK53 @ a )
= $true ),
inference(imp_proxy_clausification,[],[f1416]) ).
thf(f1432,plain,
( ( $false = $true )
| ( ( hF_Mirabelle_hmem @ sK53 @ a )
!= $true ) ),
inference(superposition,[],[f1417,f1182]) ).
thf(f1434,plain,
( ( hF_Mirabelle_hmem @ sK53 @ a )
!= $true ),
inference(trivial_inequality_removal,[],[f1432]) ).
thf(f1448,plain,
$false,
inference(forward_subsumption_resolution,[],[f1434,f1418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP073^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:50:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.40 % (4024218)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.40 % (4024228)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3306627182:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.40 % (4024229)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.52/0.40 % (4024229)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.40 % (4024224)lrs+10_16_si=on:nwc=1.5:random_seed=2624308246:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.40 % (4024223)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2418075481:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.40 % (4024225)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1375682669:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.40 % (4024229)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=116483479:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.40 % (4024227)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4186584558:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.40 % (4024226)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=2371994890:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.52/0.40 % (4024225)Instruction limit reached!
% 0.52/0.40 % (4024225)------------------------------
% 0.52/0.40 % (4024225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (4024225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (4024225)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024225)Termination reason: Instruction limit
% 0.52/0.41 % (4024225)Termination phase: shuffling
% 0.52/0.41 % (4024225)Time elapsed: 0.004 s
% 0.52/0.41 % (4024225)Peak memory usage: 10 MB
% 0.52/0.41 % (4024225)Instructions burned: 9 (million)
% 0.52/0.41 % (4024224)Instruction limit reached!
% 0.52/0.41 % (4024224)------------------------------
% 0.52/0.41 % (4024224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024224)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024224)Termination reason: Instruction limit
% 0.52/0.41 % (4024224)Termination phase: shuffling
% 0.52/0.41 % (4024224)Time elapsed: 0.010 s
% 0.52/0.41 % (4024224)Peak memory usage: 10 MB
% 0.52/0.41 % (4024224)Instructions burned: 18 (million)
% 0.52/0.41 % (4024228)Instruction limit reached!
% 0.52/0.41 % (4024228)------------------------------
% 0.52/0.41 % (4024228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024228)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024228)Termination reason: Instruction limit
% 0.52/0.41 % (4024228)Termination phase: Property scanning
% 0.52/0.41 % (4024228)Time elapsed: 0.019 s
% 0.52/0.41 % (4024228)Peak memory usage: 12 MB
% 0.52/0.41 % (4024228)Instructions burned: 77 (million)
% 0.52/0.41 % (4024227)Instruction limit reached!
% 0.52/0.41 % (4024227)------------------------------
% 0.52/0.41 % (4024227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024227)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024227)Termination reason: Instruction limit
% 0.52/0.41 % (4024227)Termination phase: Property scanning
% 0.52/0.41 % (4024227)Time elapsed: 0.012 s
% 0.52/0.41 % (4024227)Peak memory usage: 10 MB
% 0.52/0.41 % (4024227)Instructions burned: 26 (million)
% 0.52/0.41 % (4024238)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2898106332:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.41 % (4024238)Instruction limit reached!
% 0.52/0.41 % (4024238)------------------------------
% 0.52/0.41 % (4024238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024238)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024238)Termination reason: Instruction limit
% 0.52/0.41 % (4024238)Termination phase: shuffling
% 0.52/0.41 % (4024238)Time elapsed: 0.002 s
% 0.52/0.41 % (4024238)Peak memory usage: 10 MB
% 0.52/0.41 % (4024238)Instructions burned: 7 (million)
% 0.52/0.41 % (4024237)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1611396426:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.41 % (4024237)Instruction limit reached!
% 0.52/0.41 % (4024237)------------------------------
% 0.52/0.41 % (4024237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024237)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024237)Termination reason: Instruction limit
% 0.52/0.41 % (4024237)Termination phase: shuffling
% 0.52/0.41 % (4024237)Time elapsed: 0.002 s
% 0.52/0.41 % (4024237)Peak memory usage: 10 MB
% 0.52/0.41 % (4024237)Instructions burned: 3 (million)
% 0.52/0.41 % (4024239)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.41 % (4024239)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3964347659:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.52/0.41 % (4024240)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4267796605:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.41 % (4024243)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.52/0.41 % (4024243)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.52/0.41 % (4024243)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1310832613:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.52/0.41 % (4024239)Instruction limit reached!
% 0.52/0.41 % (4024239)------------------------------
% 0.52/0.41 % (4024239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024239)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024239)Termination reason: Instruction limit
% 0.52/0.41 % (4024239)Termination phase: shuffling
% 0.52/0.41 % (4024239)Time elapsed: 0.004 s
% 0.52/0.41 % (4024239)Peak memory usage: 10 MB
% 0.52/0.41 % (4024239)Instructions burned: 7 (million)
% 0.52/0.41 % (4024240)Instruction limit reached!
% 0.52/0.41 % (4024240)------------------------------
% 0.52/0.41 % (4024240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024240)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024240)Termination reason: Instruction limit
% 0.52/0.41 % (4024240)Termination phase: shuffling
% 0.52/0.41 % (4024240)Time elapsed: 0.006 s
% 0.52/0.41 % (4024240)Peak memory usage: 10 MB
% 0.52/0.41 % (4024240)Instructions burned: 12 (million)
% 0.52/0.41 % (4024223)Instruction limit reached!
% 0.52/0.41 % (4024223)------------------------------
% 0.52/0.41 % (4024223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024223)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024223)Termination reason: Instruction limit
% 0.52/0.41 % (4024223)Termination phase: Property scanning
% 0.52/0.41 % (4024223)Time elapsed: 0.039 s
% 0.52/0.41 % (4024223)Peak memory usage: 12 MB
% 0.52/0.41 % (4024223)Instructions burned: 88 (million)
% 0.52/0.41 % (4024243)Instruction limit reached!
% 0.52/0.41 % (4024243)------------------------------
% 0.52/0.41 % (4024243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024243)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024243)Termination reason: Instruction limit
% 0.52/0.41 % (4024243)Termination phase: shuffling
% 0.52/0.41 % (4024243)Time elapsed: 0.007 s
% 0.52/0.41 % (4024243)Peak memory usage: 10 MB
% 0.52/0.41 % (4024243)Instructions burned: 31 (million)
% 0.52/0.41 % (4024244)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=307426466:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.41 % (4024251)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1891176328:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.52/0.41 % (4024249)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.52/0.41 % (4024248)lrs+10_1_si=on:cs=on:random_seed=1390762962:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.41 % (4024249)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=251255912:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.41 % (4024250)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1570238799:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.52/0.41 % (4024248)Instruction limit reached!
% 0.52/0.41 % (4024248)------------------------------
% 0.52/0.41 % (4024248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024248)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024248)Termination reason: Instruction limit
% 0.52/0.41 % (4024248)Termination phase: shuffling
% 0.52/0.41 % (4024248)Time elapsed: 0.004 s
% 0.52/0.41 % (4024248)Peak memory usage: 10 MB
% 0.52/0.41 % (4024248)Instructions burned: 8 (million)
% 0.52/0.41 % (4024249)Instruction limit reached!
% 0.52/0.41 % (4024249)------------------------------
% 0.52/0.41 % (4024249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024249)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024249)Termination reason: Instruction limit
% 0.52/0.41 % (4024249)Termination phase: shuffling
% 0.52/0.41 % (4024249)Time elapsed: 0.002 s
% 0.52/0.41 % (4024249)Peak memory usage: 10 MB
% 0.52/0.41 % (4024249)Instructions burned: 3 (million)
% 0.52/0.41 % (4024229)Instruction limit reached!
% 0.52/0.41 % (4024229)------------------------------
% 0.52/0.41 % (4024229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024229)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024229)Termination reason: Instruction limit
% 0.52/0.41 % (4024229)Termination phase: Property scanning
% 0.52/0.41 % (4024229)Time elapsed: 0.066 s
% 0.52/0.41 % (4024229)Peak memory usage: 12 MB
% 0.52/0.41 % (4024229)Instructions burned: 157 (million)
% 0.52/0.41 % (4024251) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4024218-4024251"...
% 0.52/0.41 % (4024251)...printing done.
% 0.52/0.41 % (4024251)Refutation found. Thanks to Tanya!
% 0.52/0.41 % SZS status Theorem for theBenchmark
% 0.52/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.41 % (4024251)------------------------------
% 0.52/0.41 % (4024251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (4024251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (4024251)CaDiCaL version: 2.1.3
% 0.52/0.41 % (4024251)Termination reason: Refutation
% 0.52/0.41 % (4024251)Time elapsed: 0.020 s
% 0.52/0.41 % (4024251)Peak memory usage: 13 MB
% 0.52/0.41 % (4024251)Instructions burned: 84 (million)
% 0.52/0.41 % (4024218)Success in time 0.121 s
% 0.52/0.41 % Vampire exiting
%------------------------------------------------------------------------------