%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP052^1 : 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 : n010.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 08:08:07 AM UTC 2026
% Result : Theorem 2.36s 0.68s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 146 ( 7 ~; 4 |; 0 &; 132 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 149 usr; 16 con; 0-5 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_P559422087at_nat: $tType ).
thf(type_def_6,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_7,type,
product_prod_nat_nat: $tType ).
thf(type_def_8,type,
set_nat: $tType ).
thf(type_def_9,type,
capacity: $tType ).
thf(type_def_10,type,
nat: $tType ).
thf(type_def_11,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
augmen887209518pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_1,type,
augmen72931474pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > product_prod_nat_nat > capacity ).
thf(func_def_2,type,
augmen1090971539pacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > $o ).
thf(func_def_3,type,
augmen68920357pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > capacity ).
thf(func_def_4,type,
finite217307323pacity: ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_5,type,
isShor1936442771pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_6,type,
isSimp1359852763pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_7,type,
plus_plus_capacity: capacity > capacity > capacity ).
thf(func_def_8,type,
zero_zero_capacity: capacity ).
thf(func_def_9,type,
inf_in2138576462_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(func_def_10,type,
inf_in586391887at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_11,type,
set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat ).
thf(func_def_12,type,
finite1387368318pacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_13,type,
flow_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_14,type,
val_capacity: ( product_prod_nat_nat > capacity ) > nat > ( product_prod_nat_nat > capacity ) > capacity ).
thf(func_def_15,type,
nCut_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > set_nat > $o ).
thf(func_def_16,type,
cap_capacity: ( product_prod_nat_nat > capacity ) > set_nat > capacity ).
thf(func_def_17,type,
nFlow_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_18,type,
nPreflow_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_19,type,
network_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > $o ).
thf(func_def_20,type,
excess_capacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > nat > capacity ).
thf(func_def_21,type,
isMaxFlow_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_22,type,
is_max2144541363pacity: ( product_prod_nat_nat > capacity ) > nat > nat > capacity > $o ).
thf(func_def_23,type,
preflow_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_24,type,
isMinCut_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > set_nat > $o ).
thf(func_def_25,type,
bot_bot_nat_o: nat > $o ).
thf(func_def_26,type,
bot_bo513358416_nat_o: product_prod_nat_nat > $o ).
thf(func_def_27,type,
bot_bot_o: $o ).
thf(func_def_28,type,
bot_bot_set_nat: set_nat ).
thf(func_def_29,type,
bot_bo2130386637at_nat: set_Pr1986765409at_nat ).
thf(func_def_30,type,
ord_le1015898640_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_31,type,
ord_le116442893at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_32,type,
ord_less_capacity: capacity > capacity > $o ).
thf(func_def_33,type,
ord_le1039616028_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(func_def_34,type,
ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_35,type,
ord_less_eq_capacity: capacity > capacity > $o ).
thf(func_def_36,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_37,type,
product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_38,type,
converse_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(func_def_39,type,
residu1549650759pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_40,type,
residu800046103pacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_41,type,
residu164581374pacity: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > $o ).
thf(func_def_42,type,
residu203630698pacity: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_43,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_44,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_45,type,
member_nat: nat > set_nat > $o ).
thf(func_def_46,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_47,type,
c: product_prod_nat_nat > capacity ).
thf(func_def_48,type,
f: product_prod_nat_nat > capacity ).
thf(func_def_49,type,
p: list_P559422087at_nat ).
thf(func_def_50,type,
s: nat ).
thf(func_def_51,type,
t: nat ).
thf(func_def_53,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_56,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_59,type,
vAND: $o > $o > $o ).
thf(func_def_60,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
vNOT: $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,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
sP0: capacity > capacity > capacity > $o ).
thf(func_def_67,type,
sP1: capacity > capacity > capacity > $o ).
thf(func_def_68,type,
sP2: capacity > capacity > capacity > $o ).
thf(func_def_69,type,
sK3: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_70,type,
sK4: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_71,type,
sK5: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_72,type,
sK6: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_73,type,
sK7: nat > ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_74,type,
sK8: ( product_prod_nat_nat > capacity ) > nat > ( product_prod_nat_nat > capacity ) > nat > set_nat ).
thf(func_def_75,type,
sK9: ( product_prod_nat_nat > capacity ) > nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_76,type,
sK10: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_77,type,
sK11: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_78,type,
sK12: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_79,type,
sK13: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_80,type,
sK14: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_81,type,
sK15: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_82,type,
sK16: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_83,type,
sK17: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_84,type,
sK18: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_85,type,
sK19: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_86,type,
sK20: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > nat > nat > product_prod_nat_nat > capacity ).
thf(func_def_87,type,
sK21: nat > ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_88,type,
sK22: ( capacity > capacity > $o ) > capacity ).
thf(func_def_89,type,
sK23: ( capacity > capacity > $o ) > capacity ).
thf(func_def_90,type,
sK24: ( capacity > capacity > $o ) > capacity ).
thf(func_def_91,type,
sK25: ( capacity > capacity > $o ) > capacity ).
thf(func_def_92,type,
sK26: ( capacity > capacity ) > capacity ).
thf(func_def_93,type,
sK27: ( capacity > capacity ) > capacity ).
thf(func_def_94,type,
sK28: set_Pr1986765409at_nat > set_Pr1986765409at_nat > nat ).
thf(func_def_95,type,
sK29: set_Pr1986765409at_nat > set_Pr1986765409at_nat > nat ).
thf(func_def_96,type,
sK30: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_97,type,
sK31: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_98,type,
sK32: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_99,type,
sK33: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_100,type,
sK34: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_101,type,
sK35: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_102,type,
sK36: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_103,type,
sK37: ( capacity > capacity ) > capacity ).
thf(func_def_104,type,
sK38: ( capacity > capacity ) > capacity ).
thf(func_def_105,type,
sK39: product_prod_nat_nat > nat ).
thf(func_def_106,type,
sK40: product_prod_nat_nat > nat ).
thf(func_def_107,type,
sK41: ( capacity > capacity ) > capacity ).
thf(func_def_108,type,
sK42: ( capacity > capacity ) > capacity ).
thf(func_def_109,type,
sK43: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_110,type,
sK44: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_111,type,
sK45: ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_112,type,
sK46: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_113,type,
sK47: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_114,type,
sK48: capacity > product_prod_nat_nat > capacity ).
thf(func_def_115,type,
sK49: list_P559422087at_nat ).
thf(func_def_116,type,
sK50: ( capacity > capacity ) > capacity ).
thf(func_def_117,type,
sK51: ( capacity > capacity ) > capacity ).
thf(func_def_118,type,
sK52: ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_119,type,
sK53: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > product_prod_nat_nat > capacity ).
thf(func_def_120,type,
sK54: set_Pr1986765409at_nat > nat > nat > nat ).
thf(func_def_121,type,
sK55: set_Pr1986765409at_nat > nat > nat > nat ).
thf(func_def_122,type,
sK56: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_123,type,
sK57: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_124,type,
sK58: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_125,type,
sK59: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_126,type,
sK60: set_Pr1986765409at_nat > product_prod_nat_nat > nat ).
thf(func_def_127,type,
sK61: set_Pr1986765409at_nat > product_prod_nat_nat > nat ).
thf(func_def_128,type,
sK62: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_129,type,
sK63: ( set_Pr1986765409at_nat > capacity ) > set_Pr1986765409at_nat ).
thf(func_def_130,type,
sK64: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > set_nat ).
thf(func_def_131,type,
sK65: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_132,type,
sK66: set_nat ).
thf(func_def_133,type,
sK67: list_P559422087at_nat ).
thf(func_def_134,type,
sK68: ( product_prod_nat_nat > capacity ) > nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_135,type,
sK69: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_136,type,
sK70: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_137,type,
sK71: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_138,type,
sK72: ( capacity > set_Pr1986765409at_nat ) > capacity ).
thf(func_def_139,type,
sK73: list_P559422087at_nat ).
thf(func_def_140,type,
sK74: set_nat ).
thf(func_def_141,type,
sK75: list_P559422087at_nat ).
thf(func_def_142,type,
sK76: ( nat > nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_143,type,
sK77: ( nat > nat > $o ) > set_Pr1986765409at_nat > nat ).
thf(func_def_144,type,
sK78: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_145,type,
sK79: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat ) > set_Pr1986765409at_nat ).
thf(func_def_146,type,
sK80: nat > nat > ( product_prod_nat_nat > capacity ) > capacity > product_prod_nat_nat > capacity ).
thf(func_def_147,type,
sK81: list_P559422087at_nat ).
thf(func_def_148,type,
sK82: product_prod_nat_nat > nat ).
thf(func_def_149,type,
sK83: product_prod_nat_nat > nat ).
thf(func_def_150,type,
sK84: ( product_prod_nat_nat > capacity ) > ( product_prod_nat_nat > capacity ) > nat > nat > product_prod_nat_nat > capacity ).
thf(f6,axiom,
! [X0: list_P559422087at_nat] :
( ( augmen1090971539pacity @ c @ s @ t @ f @ X0 )
= ( isSimp1359852763pacity @ ( residu203630698pacity @ c @ f ) @ s @ X0 @ t ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_isAugmentingPath__def) ).
thf(f58,axiom,
! [X1: nat,X3: nat,X0: product_prod_nat_nat > capacity,X2: list_P559422087at_nat] :
( ( isSimp1359852763pacity @ X0 @ X1 @ X2 @ X3 )
=> ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X2 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X2 ) ) )
= bot_bo2130386637at_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_Graph_OisSPath__nt__parallel__pf) ).
thf(f279,axiom,
augmen1090971539pacity @ c @ s @ t @ f @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f280,conjecture,
( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) )
= bot_bo2130386637at_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f281,negated_conjecture,
( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) )
!= bot_bo2130386637at_nat ),
inference(negated_conjecture,[status(cth)],[f280]) ).
thf(f418,plain,
augmen1090971539pacity @ c @ s @ t @ f @ p,
inference(rectify,[],[f279]) ).
thf(f419,plain,
( ( augmen1090971539pacity @ c @ s @ t @ f @ p )
= $true ),
inference(fool_elimination,[],[f418]) ).
thf(f593,plain,
! [X0: nat,X1: nat,X2: product_prod_nat_nat > capacity,X3: list_P559422087at_nat] :
( ( isSimp1359852763pacity @ X2 @ X0 @ X3 @ X1 )
=> ( bot_bo2130386637at_nat
= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X3 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X3 ) ) ) ) ),
inference(rectify,[],[f58]) ).
thf(f594,plain,
! [X3: list_P559422087at_nat,X0: nat,X1: nat,X2: product_prod_nat_nat > capacity] :
( ( ( isSimp1359852763pacity @ X2 @ X0 @ X3 @ X1 )
= $true )
=> ( bot_bo2130386637at_nat
= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X3 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X3 ) ) ) ) ),
inference(fool_elimination,[],[f593]) ).
thf(f740,plain,
( bot_bo2130386637at_nat
!= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) ) ),
inference(flattening,[],[f281]) ).
thf(f980,plain,
! [X0: nat,X3: list_P559422087at_nat,X1: nat,X2: product_prod_nat_nat > capacity] :
( ( bot_bo2130386637at_nat
= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X3 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X3 ) ) ) )
| ( ( isSimp1359852763pacity @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f594]) ).
thf(f1154,plain,
! [X0: nat,X1: list_P559422087at_nat,X2: nat,X3: product_prod_nat_nat > capacity] :
( ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X1 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X1 ) ) )
= bot_bo2130386637at_nat )
| ( ( isSimp1359852763pacity @ X3 @ X0 @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f980]) ).
thf(f1383,plain,
! [X0: list_P559422087at_nat] :
( ( augmen1090971539pacity @ c @ s @ t @ f @ X0 )
= ( isSimp1359852763pacity @ ( residu203630698pacity @ c @ f ) @ s @ X0 @ t ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f1403,plain,
( ( augmen1090971539pacity @ c @ s @ t @ f @ p )
= $true ),
inference(cnf_transformation,[],[f419]) ).
thf(f1479,plain,
! [X2: nat,X3: product_prod_nat_nat > capacity,X0: nat,X1: list_P559422087at_nat] :
( ( ( isSimp1359852763pacity @ X3 @ X0 @ X1 @ X2 )
!= $true )
| ( ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ X1 ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ X1 ) ) )
= bot_bo2130386637at_nat ) ),
inference(cnf_transformation,[],[f1154]) ).
thf(f1609,plain,
( bot_bo2130386637at_nat
!= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) ) ),
inference(cnf_transformation,[],[f740]) ).
thf(f1681,plain,
( ( isSimp1359852763pacity @ ( residu203630698pacity @ c @ f ) @ s @ p @ t )
= $true ),
inference(forward_demodulation,[],[f1403,f1383]) ).
thf(f1715,plain,
( ( bot_bo2130386637at_nat
= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1479,f1681]) ).
thf(f1721,plain,
( bot_bo2130386637at_nat
= ( inf_in586391887at_nat @ ( set_Pr2131844118at_nat @ p ) @ ( converse_nat_nat @ ( set_Pr2131844118at_nat @ p ) ) ) ),
inference(trivial_inequality_removal,[],[f1715]) ).
thf(f1726,plain,
$false,
inference(forward_subsumption_resolution,[],[f1721,f1609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP052^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.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 19:44:03 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
% 0.08/0.25 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
% 0.62/0.39 % (3314917)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.39 % (3314935)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4122500033:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.39 % (3314941)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.39 % (3314941)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
% 0.62/0.39 % (3314936)lrs+10_16_si=on:nwc=1.5:random_seed=1829937557:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.39 % (3314937)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4256533502:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.39 % (3314938)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=3100100168: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)
% 0.62/0.39 % (3314939)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4057295887:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.39 % (3314940)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=311240519:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.39 % (3314941)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=1304053518:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.39 % (3314937)Instruction limit reached!
% 0.62/0.39 % (3314937)------------------------------
% 0.62/0.39 % (3314937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (3314937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (3314937)CaDiCaL version: 2.1.3
% 0.62/0.39 % (3314937)Termination reason: Instruction limit
% 0.62/0.39 % (3314937)Termination phase: shuffling
% 0.62/0.39 % (3314937)Time elapsed: 0.002 s
% 0.62/0.39 % (3314937)Peak memory usage: 10 MB
% 0.62/0.39 % (3314937)Instructions burned: 4 (million)
% 0.62/0.39 % (3314936)Instruction limit reached!
% 0.62/0.39 % (3314936)------------------------------
% 0.62/0.39 % (3314936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (3314936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (3314936)CaDiCaL version: 2.1.3
% 0.62/0.39 % (3314936)Termination reason: Instruction limit
% 0.62/0.39 % (3314936)Termination phase: shuffling
% 0.62/0.39 % (3314936)Time elapsed: 0.008 s
% 0.62/0.39 % (3314936)Peak memory usage: 10 MB
% 0.62/0.39 % (3314936)Instructions burned: 19 (million)
% 0.62/0.39 % (3314939)Instruction limit reached!
% 0.62/0.39 % (3314939)------------------------------
% 0.62/0.39 % (3314939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.39 % (3314939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.39 % (3314939)CaDiCaL version: 2.1.3
% 0.62/0.40 % (3314939)Termination reason: Instruction limit
% 0.62/0.40 % (3314939)Termination phase: shuffling
% 0.62/0.40 % (3314939)Time elapsed: 0.010 s
% 0.62/0.40 % (3314939)Peak memory usage: 10 MB
% 0.62/0.40 % (3314939)Instructions burned: 24 (million)
% 0.62/0.40 % (3314935)Instruction limit reached!
% 0.62/0.40 % (3314935)------------------------------
% 0.62/0.40 % (3314935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.40 % (3314935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.40 % (3314935)CaDiCaL version: 2.1.3
% 0.62/0.40 % (3314935)Termination reason: Instruction limit
% 0.62/0.40 % (3314935)Termination phase: Property scanning
% 0.62/0.40 % (3314935)Time elapsed: 0.021 s
% 0.62/0.40 % (3314935)Peak memory usage: 12 MB
% 0.62/0.40 % (3314935)Instructions burned: 90 (million)
% 0.62/0.40 % (3314958)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3982596368:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.40 % (3314958)Instruction limit reached!
% 0.62/0.40 % (3314958)------------------------------
% 0.62/0.40 % (3314958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314958)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314958)Termination reason: Instruction limit
% 0.62/0.43 % (3314958)Termination phase: shuffling
% 0.62/0.43 % (3314958)Time elapsed: 0.002 s
% 0.62/0.43 % (3314958)Peak memory usage: 10 MB
% 0.62/0.43 % (3314958)Instructions burned: 7 (million)
% 0.62/0.43 % (3314965)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.43 % (3314962)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1587997715:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.43 % (3314965)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=195432699:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.43 % (3314962)Instruction limit reached!
% 0.62/0.43 % (3314962)------------------------------
% 0.62/0.43 % (3314962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314962)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314962)Termination reason: Instruction limit
% 0.62/0.43 % (3314962)Termination phase: shuffling
% 0.62/0.43 % (3314962)Time elapsed: 0.003 s
% 0.62/0.43 % (3314962)Peak memory usage: 10 MB
% 0.62/0.43 % (3314962)Instructions burned: 5 (million)
% 0.62/0.43 % (3314975)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
% 0.62/0.43 % (3314975)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.43 % (3314967)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1353394010:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.43 % (3314975)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2712665853:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.43 % (3314965)Instruction limit reached!
% 0.62/0.43 % (3314965)------------------------------
% 0.62/0.43 % (3314965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314965)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314965)Termination reason: Instruction limit
% 0.62/0.43 % (3314965)Termination phase: shuffling
% 0.62/0.43 % (3314965)Time elapsed: 0.004 s
% 0.62/0.43 % (3314965)Peak memory usage: 10 MB
% 0.62/0.43 % (3314965)Instructions burned: 7 (million)
% 0.62/0.43 % (3314940)Instruction limit reached!
% 0.62/0.43 % (3314940)------------------------------
% 0.62/0.43 % (3314940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314940)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314940)Termination reason: Instruction limit
% 0.62/0.43 % (3314940)Termination phase: Property scanning
% 0.62/0.43 % (3314940)Time elapsed: 0.034 s
% 0.62/0.43 % (3314940)Peak memory usage: 12 MB
% 0.62/0.43 % (3314940)Instructions burned: 76 (million)
% 0.62/0.43 % (3314967)Instruction limit reached!
% 0.62/0.43 % (3314967)------------------------------
% 0.62/0.43 % (3314967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314967)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314967)Termination reason: Instruction limit
% 0.62/0.43 % (3314967)Termination phase: shuffling
% 0.62/0.43 % (3314967)Time elapsed: 0.007 s
% 0.62/0.43 % (3314967)Peak memory usage: 10 MB
% 0.62/0.43 % (3314967)Instructions burned: 16 (million)
% 0.62/0.43 % (3314975)Instruction limit reached!
% 0.62/0.43 % (3314975)------------------------------
% 0.62/0.43 % (3314975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.43 % (3314975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.43 % (3314975)CaDiCaL version: 2.1.3
% 0.62/0.43 % (3314975)Termination reason: Instruction limit
% 0.62/0.46 % (3314975)Termination phase: shuffling
% 0.62/0.46 % (3314975)Time elapsed: 0.007 s
% 0.62/0.46 % (3314975)Peak memory usage: 10 MB
% 0.62/0.46 % (3314975)Instructions burned: 29 (million)
% 0.62/0.46 % (3314984)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=3148558103:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.46 % (3314996)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2574459052:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.62/0.46 % (3314991)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.46 % (3314989)lrs+10_1_si=on:cs=on:random_seed=640071642:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.46 % (3314991)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=133484535:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.46 % (3314991)Instruction limit reached!
% 0.62/0.46 % (3314991)------------------------------
% 0.62/0.46 % (3314991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (3314991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (3314991)CaDiCaL version: 2.1.3
% 0.62/0.46 % (3314991)Termination reason: Instruction limit
% 0.62/0.46 % (3314991)Termination phase: shuffling
% 0.62/0.46 % (3314991)Time elapsed: 0.002 s
% 0.62/0.46 % (3314991)Peak memory usage: 10 MB
% 0.62/0.46 % (3314991)Instructions burned: 4 (million)
% 0.62/0.46 % (3314994)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1028960418:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.62/0.46 % (3314989)Instruction limit reached!
% 0.62/0.46 % (3314989)------------------------------
% 0.62/0.46 % (3314989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (3314989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (3314989)CaDiCaL version: 2.1.3
% 0.62/0.46 % (3314989)Termination reason: Instruction limit
% 0.62/0.46 % (3314989)Termination phase: shuffling
% 0.62/0.46 % (3314989)Time elapsed: 0.004 s
% 0.62/0.46 % (3314989)Peak memory usage: 10 MB
% 0.62/0.46 % (3314989)Instructions burned: 9 (million)
% 0.62/0.46 % (3314941)Instruction limit reached!
% 0.62/0.46 % (3314941)------------------------------
% 0.62/0.46 % (3314941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (3314941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (3314941)CaDiCaL version: 2.1.3
% 0.62/0.46 % (3314941)Termination reason: Instruction limit
% 0.62/0.46 % (3314941)Termination phase: Saturation
% 0.62/0.46 % (3314941)Time elapsed: 0.073 s
% 0.62/0.46 % (3314941)Peak memory usage: 13 MB
% 0.62/0.46 % (3314941)Instructions burned: 159 (million)
% 0.62/0.46 % (3314994)Instruction limit reached!
% 0.62/0.46 % (3314994)------------------------------
% 0.62/0.46 % (3314994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (3314994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (3314994)CaDiCaL version: 2.1.3
% 0.62/0.46 % (3314994)Termination reason: Instruction limit
% 0.62/0.46 % (3314994)Termination phase: SInE selection
% 0.62/0.46 % (3314994)Time elapsed: 0.016 s
% 0.62/0.46 % (3314994)Peak memory usage: 11 MB
% 0.62/0.46 % (3314994)Instructions burned: 38 (million)
% 0.62/0.46 % (3315007)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3156753904:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.62/0.46 % (3315008)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=795279035:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.46 % (3315008)Instruction limit reached!
% 0.62/0.46 % (3315008)------------------------------
% 0.62/0.46 % (3315008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.46 % (3315008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.46 % (3315008)CaDiCaL version: 2.1.3
% 0.62/0.46 % (3315008)Termination reason: Instruction limit
% 0.62/0.46 % (3315008)Termination phase: shuffling
% 0.62/0.46 % (3315008)Time elapsed: 0.007 s
% 1.37/0.51 % (3315008)Peak memory usage: 10 MB
% 1.37/0.51 % (3315008)Instructions burned: 16 (million)
% 1.37/0.51 % (3314984)Instruction limit reached!
% 1.37/0.51 % (3314984)------------------------------
% 1.37/0.51 % (3314984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3314984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3314984)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3314984)Termination reason: Instruction limit
% 1.37/0.51 % (3314984)Termination phase: Function definition elimination
% 1.37/0.51 % (3314984)Time elapsed: 0.037 s
% 1.37/0.51 % (3314984)Peak memory usage: 11 MB
% 1.37/0.51 % (3314984)Instructions burned: 88 (million)
% 1.37/0.51 % (3315007)Instruction limit reached!
% 1.37/0.51 % (3315007)------------------------------
% 1.37/0.51 % (3315007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3315007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3315007)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3315007)Termination reason: Instruction limit
% 1.37/0.51 % (3315007)Termination phase: Property scanning
% 1.37/0.51 % (3315007)Time elapsed: 0.011 s
% 1.37/0.51 % (3315007)Peak memory usage: 10 MB
% 1.37/0.51 % (3315007)Instructions burned: 26 (million)
% 1.37/0.51 % (3315013)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1271930529:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.37/0.51 % (3315014)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3964107123:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.51 % (3315014)Instruction limit reached!
% 1.37/0.51 % (3315014)------------------------------
% 1.37/0.51 % (3315014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3315014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3315014)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3315014)Termination reason: Instruction limit
% 1.37/0.51 % (3315014)Termination phase: shuffling
% 1.37/0.51 % (3315014)Time elapsed: 0.006 s
% 1.37/0.51 % (3315014)Peak memory usage: 10 MB
% 1.37/0.51 % (3315014)Instructions burned: 14 (million)
% 1.37/0.51 % (3315017)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3791310174: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)
% 1.37/0.51 % (3315018)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3956386775:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.37/0.51 % (3315017)Instruction limit reached!
% 1.37/0.51 % (3315017)------------------------------
% 1.37/0.51 % (3315017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3315017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3315017)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3315017)Termination reason: Instruction limit
% 1.37/0.51 % (3315017)Termination phase: shuffling
% 1.37/0.51 % (3315017)Time elapsed: 0.002 s
% 1.37/0.51 % (3315017)Peak memory usage: 10 MB
% 1.37/0.51 % (3315017)Instructions burned: 3 (million)
% 1.37/0.51 % (3315019)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1037222692:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.51 % (3314996)Instruction limit reached!
% 1.37/0.51 % (3314996)------------------------------
% 1.37/0.51 % (3314996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3314996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3314996)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3314996)Termination reason: Instruction limit
% 1.37/0.51 % (3314996)Termination phase: Saturation
% 1.37/0.51 % (3314996)Time elapsed: 0.065 s
% 1.37/0.51 % (3314996)Peak memory usage: 14 MB
% 1.37/0.51 % (3314996)Instructions burned: 249 (million)
% 1.37/0.51 % (3315018)Instruction limit reached!
% 1.37/0.51 % (3315018)------------------------------
% 1.37/0.51 % (3315018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51 % (3315018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51 % (3315018)CaDiCaL version: 2.1.3
% 1.37/0.51 % (3315018)Termination reason: Instruction limit
% 1.37/0.51 % (3315018)Termination phase: shuffling
% 1.37/0.51 % (3315018)Time elapsed: 0.012 s
% 1.37/0.51 % (3315018)Peak memory usage: 10 MB
% 2.04/0.57 % (3315018)Instructions burned: 27 (million)
% 2.04/0.57 % (3315019)Instruction limit reached!
% 2.04/0.57 % (3315019)------------------------------
% 2.04/0.57 % (3315019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (3315019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (3315019)CaDiCaL version: 2.1.3
% 2.04/0.57 % (3315019)Termination reason: Instruction limit
% 2.04/0.57 % (3315019)Termination phase: shuffling
% 2.04/0.57 % (3315019)Time elapsed: 0.010 s
% 2.04/0.57 % (3315019)Peak memory usage: 10 MB
% 2.04/0.57 % (3315019)Instructions burned: 25 (million)
% 2.04/0.57 % (3315022)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2748558116:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.57 % (3315025)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
% 2.04/0.57 % (3315025)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.57 % (3315027)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.57 % (3315025)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=2925084627:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.57 % (3315027)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=2650911715:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.57 % (3315027)Instruction limit reached!
% 2.04/0.57 % (3315027)------------------------------
% 2.04/0.57 % (3315027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (3315027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (3315027)CaDiCaL version: 2.1.3
% 2.04/0.57 % (3315027)Termination reason: Instruction limit
% 2.04/0.57 % (3315027)Termination phase: shuffling
% 2.04/0.57 % (3315027)Time elapsed: 0.002 s
% 2.04/0.57 % (3315027)Peak memory usage: 10 MB
% 2.04/0.57 % (3315027)Instructions burned: 9 (million)
% 2.04/0.57 % (3315025)Instruction limit reached!
% 2.04/0.57 % (3315025)------------------------------
% 2.04/0.57 % (3315025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (3315025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (3315025)CaDiCaL version: 2.1.3
% 2.04/0.57 % (3315025)Termination reason: Instruction limit
% 2.04/0.57 % (3315025)Termination phase: shuffling
% 2.04/0.57 % (3315025)Time elapsed: 0.007 s
% 2.04/0.57 % (3315025)Peak memory usage: 10 MB
% 2.04/0.57 % (3315025)Instructions burned: 15 (million)
% 2.04/0.57 % (3315028)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=4175995852:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.04/0.57 % (3315030)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2976416820:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.04/0.57 % (3315033)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4097597167:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.04/0.57 % (3315030)Instruction limit reached!
% 2.04/0.57 % (3315030)------------------------------
% 2.04/0.57 % (3315030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (3315030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (3315030)CaDiCaL version: 2.1.3
% 2.04/0.57 % (3315030)Termination reason: Instruction limit
% 2.04/0.57 % (3315030)Termination phase: shuffling
% 2.04/0.57 % (3315030)Time elapsed: 0.004 s
% 2.04/0.57 % (3315030)Peak memory usage: 10 MB
% 2.04/0.57 % (3315030)Instructions burned: 7 (million)
% 2.04/0.57 % (3315022)Instruction limit reached!
% 2.04/0.57 % (3315022)------------------------------
% 2.04/0.57 % (3315022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (3315022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315022)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315022)Termination reason: Instruction limit
% 2.36/0.64 % (3315022)Termination phase: Property scanning
% 2.36/0.64 % (3315022)Time elapsed: 0.026 s
% 2.36/0.64 % (3315022)Peak memory usage: 11 MB
% 2.36/0.64 % (3315022)Instructions burned: 61 (million)
% 2.36/0.64 % (3315033)Instruction limit reached!
% 2.36/0.64 % (3315033)------------------------------
% 2.36/0.64 % (3315033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.64 % (3315033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315033)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315033)Termination reason: Instruction limit
% 2.36/0.64 % (3315033)Termination phase: shuffling
% 2.36/0.64 % (3315033)Time elapsed: 0.006 s
% 2.36/0.64 % (3315033)Peak memory usage: 10 MB
% 2.36/0.64 % (3315033)Instructions burned: 27 (million)
% 2.36/0.64 % (3315028)Instruction limit reached!
% 2.36/0.64 % (3315028)------------------------------
% 2.36/0.64 % (3315028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.64 % (3315034)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3979795695:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.36/0.64 % (3315028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315028)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315028)Termination reason: Instruction limit
% 2.36/0.64 % (3315028)Termination phase: shuffling
% 2.36/0.64 % (3315028)Time elapsed: 0.015 s
% 2.36/0.64 % (3315028)Peak memory usage: 10 MB
% 2.36/0.64 % (3315028)Instructions burned: 33 (million)
% 2.36/0.64 % (3315040)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4089658961:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.36/0.64 % (3315034)Instruction limit reached!
% 2.36/0.64 % (3315034)------------------------------
% 2.36/0.64 % (3315034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.64 % (3315034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315034)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315034)Termination reason: Instruction limit
% 2.36/0.64 % (3315034)Termination phase: shuffling
% 2.36/0.64 % (3315034)Time elapsed: 0.009 s
% 2.36/0.64 % (3315034)Peak memory usage: 10 MB
% 2.36/0.64 % (3315034)Instructions burned: 22 (million)
% 2.36/0.64 % (3315038)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3962564778:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.36/0.64 % (3315039)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4079848480:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.36/0.64 % (3315042)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1363982778:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.36/0.64 % (3315045)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.36/0.64 % (3315045)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2240985367:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.36/0.64 % (3315045)Instruction limit reached!
% 2.36/0.64 % (3315045)------------------------------
% 2.36/0.64 % (3315045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.64 % (3315045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315045)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315045)Termination reason: Instruction limit
% 2.36/0.64 % (3315045)Termination phase: shuffling
% 2.36/0.64 % (3315045)Time elapsed: 0.004 s
% 2.36/0.64 % (3315045)Peak memory usage: 10 MB
% 2.36/0.64 % (3315045)Instructions burned: 9 (million)
% 2.36/0.64 % (3315042)Instruction limit reached!
% 2.36/0.64 % (3315042)------------------------------
% 2.36/0.64 % (3315042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.64 % (3315042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.64 % (3315042)CaDiCaL version: 2.1.3
% 2.36/0.64 % (3315042)Termination reason: Instruction limit
% 2.36/0.64 % (3315042)Termination phase: Preprocessing 3
% 2.36/0.64 % (3315042)Time elapsed: 0.019 s
% 2.36/0.64 % (3315042)Peak memory usage: 11 MB
% 2.36/0.64 % (3315042)Instructions burned: 44 (million)
% 2.36/0.64 % (3315049)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2073839496:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.36/0.68 % (3315040)Instruction limit reached!
% 2.36/0.68 % (3315040)------------------------------
% 2.36/0.68 % (3315040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315040)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315040)Termination reason: Instruction limit
% 2.36/0.68 % (3315040)Termination phase: Saturation
% 2.36/0.68 % (3315040)Time elapsed: 0.050 s
% 2.36/0.68 % (3315040)Peak memory usage: 14 MB
% 2.36/0.68 % (3315040)Instructions burned: 194 (million)
% 2.36/0.68 % (3315050)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=246850546:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.36/0.68 % (3315053)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.36/0.68 % (3315053)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1183293593:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.36/0.68 % (3315053)Instruction limit reached!
% 2.36/0.68 % (3315053)------------------------------
% 2.36/0.68 % (3315053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315053)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315053)Termination reason: Instruction limit
% 2.36/0.68 % (3315053)Termination phase: shuffling
% 2.36/0.68 % (3315053)Time elapsed: 0.004 s
% 2.36/0.68 % (3315053)Peak memory usage: 10 MB
% 2.36/0.68 % (3315053)Instructions burned: 19 (million)
% 2.36/0.68 % (3315039)Instruction limit reached!
% 2.36/0.68 % (3315039)------------------------------
% 2.36/0.68 % (3315039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315039)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315039)Termination reason: Instruction limit
% 2.36/0.68 % (3315039)Termination phase: Saturation
% 2.36/0.68 % (3315039)Time elapsed: 0.064 s
% 2.36/0.68 % (3315039)Peak memory usage: 14 MB
% 2.36/0.68 % (3315039)Instructions burned: 144 (million)
% 2.36/0.68 % (3315055)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=750919737:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.36/0.68 % (3315055)Instruction limit reached!
% 2.36/0.68 % (3315055)------------------------------
% 2.36/0.68 % (3315055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315055)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315055)Termination reason: Instruction limit
% 2.36/0.68 % (3315055)Termination phase: Property scanning
% 2.36/0.68 % (3315055)Time elapsed: 0.005 s
% 2.36/0.68 % (3315055)Peak memory usage: 10 MB
% 2.36/0.68 % (3315055)Instructions burned: 25 (million)
% 2.36/0.68 % (3315013)Instruction limit reached!
% 2.36/0.68 % (3315013)------------------------------
% 2.36/0.68 % (3315013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315013)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315013)Termination reason: Instruction limit
% 2.36/0.68 % (3315013)Termination phase: Saturation
% 2.36/0.68 % (3315013)Time elapsed: 0.151 s
% 2.36/0.68 % (3315013)Peak memory usage: 14 MB
% 2.36/0.68 % (3315013)Instructions burned: 328 (million)
% 2.36/0.68 % (3315056)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2632787491:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.36/0.68 % (3315058)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=352905546:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.36/0.68 % (3315056)Instruction limit reached!
% 2.36/0.68 % (3315056)------------------------------
% 2.36/0.68 % (3315056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315056)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315056)Termination reason: Instruction limit
% 2.36/0.68 % (3315056)Termination phase: shuffling
% 2.36/0.68 % (3315056)Time elapsed: 0.009 s
% 2.36/0.68 % (3315056)Peak memory usage: 10 MB
% 2.36/0.68 % (3315056)Instructions burned: 20 (million)
% 2.36/0.68 % (3315059)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=3791186396:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.36/0.68 % (3315062)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=4194789764:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.36/0.68 % (3315050)Instruction limit reached!
% 2.36/0.68 % (3315050)------------------------------
% 2.36/0.68 % (3315050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315050)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315050)Termination reason: Instruction limit
% 2.36/0.68 % (3315050)Termination phase: Saturation
% 2.36/0.68 % (3315050)Time elapsed: 0.081 s
% 2.36/0.68 % (3315050)Peak memory usage: 14 MB
% 2.36/0.68 % (3315050)Instructions burned: 170 (million)
% 2.36/0.68 % (3315049)Instruction limit reached!
% 2.36/0.68 % (3315049)------------------------------
% 2.36/0.68 % (3315049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315049)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315049)Termination reason: Instruction limit
% 2.36/0.68 % (3315049)Termination phase: Saturation
% 2.36/0.68 % (3315049)Time elapsed: 0.090 s
% 2.36/0.68 % (3315049)Peak memory usage: 14 MB
% 2.36/0.68 % (3315049)Instructions burned: 181 (million)
% 2.36/0.68 % (3315062)Instruction limit reached!
% 2.36/0.68 % (3315062)------------------------------
% 2.36/0.68 % (3315062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315062)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315062)Termination reason: Instruction limit
% 2.36/0.68 % (3315062)Termination phase: Property scanning
% 2.36/0.68 % (3315062)Time elapsed: 0.019 s
% 2.36/0.68 % (3315062)Peak memory usage: 10 MB
% 2.36/0.68 % (3315062)Instructions burned: 46 (million)
% 2.36/0.68 % (3315065)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3012350038:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.36/0.68 % (3315067)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.36/0.68 % (3315066)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=241389705:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.36/0.68 % (3315067)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3349860301:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.36/0.68 % (3315066)Instruction limit reached!
% 2.36/0.68 % (3315066)------------------------------
% 2.36/0.68 % (3315066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315066)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315066)Termination reason: Instruction limit
% 2.36/0.68 % (3315066)Termination phase: shuffling
% 2.36/0.68 % (3315066)Time elapsed: 0.009 s
% 2.36/0.68 % (3315066)Peak memory usage: 10 MB
% 2.36/0.68 % (3315066)Instructions burned: 21 (million)
% 2.36/0.68 % (3314938)Instruction limit reached!
% 2.36/0.68 % (3314938)------------------------------
% 2.36/0.68 % (3314938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3314938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3314938)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3314938)Termination reason: Instruction limit
% 2.36/0.68 % (3314938)Termination phase: Saturation
% 2.36/0.68 % (3314938)Time elapsed: 0.327 s
% 2.36/0.68 % (3314938)Peak memory usage: 15 MB
% 2.36/0.68 % (3314938)Instructions burned: 636 (million)
% 2.36/0.68 % (3315058)Instruction limit reached!
% 2.36/0.68 % (3315058)------------------------------
% 2.36/0.68 % (3315058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315058)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315058)Termination reason: Instruction limit
% 2.36/0.68 % (3315058)Termination phase: Saturation
% 2.36/0.68 % (3315058)Time elapsed: 0.083 s
% 2.36/0.68 % (3315058)Peak memory usage: 16 MB
% 2.36/0.68 % (3315058)Instructions burned: 318 (million)
% 2.36/0.68 % (3315071)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3041614112:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.36/0.68 % (3315073)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3368171763:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.36/0.68 % (3315072)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2721525729:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.36/0.68 % (3315071)Instruction limit reached!
% 2.36/0.68 % (3315071)------------------------------
% 2.36/0.68 % (3315071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315071)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315071)Termination reason: Instruction limit
% 2.36/0.68 % (3315071)Termination phase: shuffling
% 2.36/0.68 % (3315071)Time elapsed: 0.006 s
% 2.36/0.68 % (3315071)Peak memory usage: 10 MB
% 2.36/0.68 % (3315071)Instructions burned: 14 (million)
% 2.36/0.68 % (3315073)Instruction limit reached!
% 2.36/0.68 % (3315073)------------------------------
% 2.36/0.68 % (3315073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315073)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315073)Termination reason: Instruction limit
% 2.36/0.68 % (3315073)Termination phase: Property scanning
% 2.36/0.68 % (3315073)Time elapsed: 0.013 s
% 2.36/0.68 % (3315073)Peak memory usage: 11 MB
% 2.36/0.68 % (3315073)Instructions burned: 55 (million)
% 2.36/0.68 % (3315065) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3314917-3315065"...
% 2.36/0.68 % (3315077)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4047213034:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.36/0.68 % (3315078)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2536751382:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.36/0.68 % (3315065)...printing done.
% 2.36/0.68 % (3315065)Refutation found. Thanks to Tanya!
% 2.36/0.68 % SZS status Theorem for theBenchmark
% 2.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.68 % (3315065)------------------------------
% 2.36/0.68 % (3315065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.68 % (3315065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.68 % (3315065)CaDiCaL version: 2.1.3
% 2.36/0.68 % (3315065)Termination reason: Refutation
% 2.36/0.68 % (3315065)Time elapsed: 0.057 s
% 2.36/0.68 % (3315065)Peak memory usage: 14 MB
% 2.36/0.68 % (3315065)Instructions burned: 123 (million)
% 2.36/0.68 % (3314917)Success in time 0.426 s
% 2.36/0.68 % Vampire exiting
%------------------------------------------------------------------------------