%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP064^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:08:11 AM UTC 2026
% Result : Theorem 0.52s 0.42s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 23 unt; 0 typ; 3 def)
% Number of atoms : 152 ( 36 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 318 ( 35 ~; 28 |; 3 &; 246 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 98 ( 95 usr; 18 con; 0-4 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
real: $tType ).
thf(type_def_6,type,
nat: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
genClo1160817912lle_IC: nat > nat > real > real ).
thf(func_def_1,type,
genClo721845095Lambda: real ).
thf(func_def_2,type,
genClo1278781456e_beta: real ).
thf(func_def_3,type,
genClo1400225944_theta: nat > nat > nat > real ).
thf(func_def_4,type,
genClo1015804716orrect: nat > real > $o ).
thf(func_def_5,type,
genClo293725281kRead1: ( nat > real ) > real > ( nat > $o ) > $o ).
thf(func_def_6,type,
genClo293725282kRead2: ( nat > real ) > ( nat > real ) > real > ( nat > $o ) > $o ).
thf(func_def_7,type,
genClo208577157axsync: nat > real > $o ).
thf(func_def_8,type,
genClo1650508560e_rmax: real ).
thf(func_def_9,type,
genClo1651033342e_rmin: real ).
thf(func_def_10,type,
genClo1163638703lle_te: nat > nat > real ).
thf(func_def_11,type,
abs_abs_real: real > real ).
thf(func_def_12,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_13,type,
minus_minus_real: real > real > real ).
thf(func_def_14,type,
one_one_nat: nat ).
thf(func_def_15,type,
one_one_real: real ).
thf(func_def_16,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_17,type,
plus_plus_real: real > real > real ).
thf(func_def_18,type,
zero_zero_nat: nat ).
thf(func_def_19,type,
zero_zero_real: real ).
thf(func_def_20,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_21,type,
if_real: $o > real > real > real ).
thf(func_def_22,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_23,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_24,type,
ord_max_nat: nat > nat > nat ).
thf(func_def_25,type,
ord_max_real: real > real > real ).
thf(func_def_26,type,
delta_S: real ).
thf(func_def_27,type,
i: nat ).
thf(func_def_28,type,
l: nat ).
thf(func_def_29,type,
m: nat ).
thf(func_def_30,type,
p: nat ).
thf(func_def_34,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
vAND: $o > $o > $o ).
thf(func_def_39,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_40,type,
vIMP: $o > $o > $o ).
thf(func_def_41,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
sP0: nat > nat > nat > $o ).
thf(func_def_46,type,
sP1: nat > nat > nat > $o ).
thf(func_def_47,type,
sP2: real > real > real > $o ).
thf(func_def_48,type,
sP3: real > real > real > $o ).
thf(func_def_49,type,
sK4: ( real > real ) > real ).
thf(func_def_50,type,
sK5: ( real > real ) > real ).
thf(func_def_51,type,
sK6: ( nat > nat ) > nat ).
thf(func_def_52,type,
sK7: ( nat > nat ) > nat ).
thf(func_def_53,type,
sK8: ( real > real > $o ) > real ).
thf(func_def_54,type,
sK9: ( real > real > $o ) > real ).
thf(func_def_55,type,
sK10: ( real > real > $o ) > real ).
thf(func_def_56,type,
sK11: ( real > real > $o ) > real ).
thf(func_def_57,type,
sK12: ( nat > real ) > nat ).
thf(func_def_58,type,
sK13: ( nat > real ) > nat ).
thf(func_def_59,type,
sK14: ( nat > real ) > nat ).
thf(func_def_60,type,
sK15: ( nat > real ) > nat ).
thf(func_def_61,type,
sK16: ( real > real ) > real ).
thf(func_def_62,type,
sK17: ( real > real ) > real ).
thf(func_def_63,type,
sK18: ( real > nat ) > real ).
thf(func_def_64,type,
sK19: ( real > nat ) > real ).
thf(func_def_65,type,
sK20: ( real > nat ) > real ).
thf(func_def_66,type,
sK21: ( real > nat ) > real ).
thf(func_def_67,type,
sK22: ( nat > real ) > nat ).
thf(func_def_68,type,
sK23: ( nat > real ) > nat ).
thf(func_def_69,type,
sK24: nat > nat > nat ).
thf(func_def_70,type,
sK25: ( nat > nat ) > nat ).
thf(func_def_71,type,
sK26: ( nat > nat ) > nat ).
thf(func_def_72,type,
sK27: ( nat > nat ) > nat ).
thf(func_def_73,type,
sK28: ( nat > nat ) > nat ).
thf(func_def_74,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_75,type,
sK30: ( nat > nat > $o ) > nat ).
thf(func_def_76,type,
sK31: ( nat > nat > $o ) > nat ).
thf(func_def_77,type,
sK32: ( nat > nat > $o ) > nat ).
thf(func_def_78,type,
sK33: ( nat > nat ) > nat ).
thf(func_def_79,type,
sK34: ( nat > nat ) > nat ).
thf(func_def_80,type,
sK35: nat > nat > nat ).
thf(func_def_81,type,
sK36: ( real > nat ) > real ).
thf(func_def_82,type,
sK37: ( real > nat ) > real ).
thf(func_def_83,type,
sK38: ( real > nat ) > real ).
thf(func_def_84,type,
sK39: ( real > nat ) > real ).
thf(func_def_85,type,
sK40: ( real > real ) > real ).
thf(func_def_86,type,
sK41: ( real > real ) > real ).
thf(func_def_87,type,
sK42: ( nat > $o ) > nat ).
thf(func_def_88,type,
sK43: ( nat > $o ) > nat > nat ).
thf(func_def_89,type,
sK44: ( real > real ) > real ).
thf(func_def_90,type,
sK45: ( real > real ) > real ).
thf(func_def_91,type,
sK46: ( nat > real ) > nat ).
thf(func_def_92,type,
sK47: ( nat > real ) > nat ).
thf(func_def_93,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: nat,X2: real,X1: real] :
( ( ( genClo1015804716orrect @ X0 @ X2 )
& ( ord_less_eq_real @ X1 @ X2 ) )
=> ( genClo1015804716orrect @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_correct__closed) ).
thf(f2,axiom,
genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_corr__m) ).
thf(f4,axiom,
ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_tml__le__tp) ).
thf(f359,conjecture,
genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f496,plain,
! [X0: nat,X1: real,X2: real] :
( ( ( genClo1015804716orrect @ X0 @ X1 )
& ( ord_less_eq_real @ X2 @ X1 ) )
=> ( genClo1015804716orrect @ X0 @ X2 ) ),
inference(rectify,[],[f1]) ).
thf(f497,plain,
! [X0: nat,X1: real,X2: real] :
( ( ( ( genClo1015804716orrect @ X0 @ X1 )
= $true )
& ( ( ord_less_eq_real @ X2 @ X1 )
= $true ) )
=> ( ( genClo1015804716orrect @ X0 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f496]) ).
thf(f765,plain,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(rectify,[],[f360]) ).
thf(f766,plain,
( ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
!= $true ),
inference(fool_elimination,[],[f765]) ).
thf(f795,plain,
genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(rectify,[],[f2]) ).
thf(f796,plain,
( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(fool_elimination,[],[f795]) ).
thf(f817,plain,
ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(rectify,[],[f4]) ).
thf(f818,plain,
( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(fool_elimination,[],[f817]) ).
thf(f896,plain,
( ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
!= $true ),
inference(flattening,[],[f766]) ).
thf(f1057,plain,
! [X0: nat,X1: real,X2: real] :
( ( ( genClo1015804716orrect @ X0 @ X2 )
= $true )
| ( ( genClo1015804716orrect @ X0 @ X1 )
!= $true )
| ( ( ord_less_eq_real @ X2 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f497]) ).
thf(f1058,plain,
! [X1: real,X0: nat,X2: real] :
( ( ( genClo1015804716orrect @ X0 @ X2 )
= $true )
| ( ( ord_less_eq_real @ X2 @ X1 )
!= $true )
| ( ( genClo1015804716orrect @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f1057]) ).
thf(f1174,plain,
! [X0: real,X1: nat,X2: real] :
( ( ( genClo1015804716orrect @ X1 @ X2 )
= $true )
| ( ( ord_less_eq_real @ X2 @ X0 )
!= $true )
| ( ( genClo1015804716orrect @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f1058]) ).
thf(f1464,plain,
! [X2: real,X0: real,X1: nat] :
( ( ( genClo1015804716orrect @ X1 @ X2 )
= $true )
| ( ( ord_less_eq_real @ X2 @ X0 )
!= $true )
| ( ( genClo1015804716orrect @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1174]) ).
thf(f1494,plain,
( ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
!= $true ),
inference(cnf_transformation,[],[f896]) ).
thf(f1558,plain,
( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f818]) ).
thf(f1767,plain,
( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f796]) ).
thf(f2171,definition,
( spl48_20
<=> ( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl48_20])],[avatar_definition]) ).
thf(f2173,plain,
( ( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true )
| ~ spl48_20 ),
inference(avatar_component_clause,[],[f2171]) ).
thf(f2174,plain,
spl48_20,
inference(avatar_split_clause,[],[f1558,f2171]) ).
thf(f2191,definition,
( spl48_24
<=> ( ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl48_24])],[avatar_definition]) ).
thf(f2193,plain,
( ( ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
!= $true )
| spl48_24 ),
inference(avatar_component_clause,[],[f2191]) ).
thf(f2194,plain,
~ spl48_24,
inference(avatar_split_clause,[],[f1494,f2191]) ).
thf(f2246,definition,
( spl48_35
<=> ( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl48_35])],[avatar_definition]) ).
thf(f2248,plain,
( ( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true )
| ~ spl48_35 ),
inference(avatar_component_clause,[],[f2246]) ).
thf(f2249,plain,
spl48_35,
inference(avatar_split_clause,[],[f1767,f2246]) ).
thf(f2376,plain,
( ! [X0: real] :
( ( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( genClo1015804716orrect @ m @ X0 )
!= $true ) )
| spl48_24 ),
inference(superposition,[],[f2193,f1464]) ).
thf(f2378,plain,
( ! [X0: real] :
( ( ( ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ X0 )
!= $true )
| ( ( genClo1015804716orrect @ m @ X0 )
!= $true ) )
| spl48_24 ),
inference(trivial_inequality_removal,[],[f2376]) ).
thf(f2751,plain,
( ( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
!= $true )
| ( $true != $true )
| ~ spl48_20
| spl48_24 ),
inference(superposition,[],[f2378,f2173]) ).
thf(f2758,plain,
( ( ( genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
!= $true )
| ~ spl48_20
| spl48_24 ),
inference(trivial_inequality_removal,[],[f2751]) ).
thf(f2768,plain,
( $false
| ~ spl48_20
| spl48_24
| ~ spl48_35 ),
inference(forward_subsumption_resolution,[],[f2758,f2248]) ).
thf(f2769,plain,
( ~ spl48_20
| spl48_24
| ~ spl48_35 ),
inference(avatar_contradiction_clause,[],[f2768]) ).
cnf(s24,plain,
spl48_20,
inference(sat_conversion,[],[f2174]) ).
cnf(s30,plain,
~ spl48_24,
inference(sat_conversion,[],[f2194]) ).
cnf(s44,plain,
spl48_35,
inference(sat_conversion,[],[f2249]) ).
cnf(s59,plain,
( ~ spl48_20
| spl48_24
| ~ spl48_35 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s60,plain,
~ spl48_20,
inference(rat,[],[s59,s44,s30]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s24,s60]) ).
thf(f2770,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP064^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:43:26 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.40 % (3827013)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.52/0.40 % (3827032)lrs+10_16_si=on:nwc=1.5:random_seed=2109597926:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.52/0.40 % (3827032)Instruction limit reached!
% 0.52/0.40 % (3827032)------------------------------
% 0.52/0.40 % (3827032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (3827037)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 % (3827032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (3827037)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 % (3827032)CaDiCaL version: 2.1.3
% 0.52/0.40 % (3827032)Termination reason: Instruction limit
% 0.52/0.40 % (3827032)Termination phase: Property scanning
% 0.52/0.40 % (3827032)Time elapsed: 0.005 s
% 0.52/0.40 % (3827032)Peak memory usage: 10 MB
% 0.52/0.40 % (3827032)Instructions burned: 22 (million)
% 0.52/0.40 % (3827033)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=281553636:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.52/0.40 % (3827031)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=836853168:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.52/0.40 % (3827034)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=3688705597: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 % (3827036)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1888772757:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.52/0.40 % (3827035)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=951858994:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.52/0.40 % (3827037)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=451623192:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.52/0.40 % (3827033)Instruction limit reached!
% 0.52/0.40 % (3827033)------------------------------
% 0.52/0.40 % (3827033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (3827033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (3827033)CaDiCaL version: 2.1.3
% 0.52/0.40 % (3827033)Termination reason: Instruction limit
% 0.52/0.40 % (3827033)Termination phase: shuffling
% 0.52/0.40 % (3827033)Time elapsed: 0.002 s
% 0.52/0.40 % (3827033)Peak memory usage: 10 MB
% 0.52/0.40 % (3827033)Instructions burned: 4 (million)
% 0.52/0.40 % (3827047)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2738375539:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.40 % (3827047)Instruction limit reached!
% 0.52/0.40 % (3827047)------------------------------
% 0.52/0.40 % (3827047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (3827047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (3827047)CaDiCaL version: 2.1.3
% 0.52/0.40 % (3827047)Termination reason: Instruction limit
% 0.52/0.40 % (3827047)Termination phase: shuffling
% 0.52/0.40 % (3827047)Time elapsed: 0.002 s
% 0.52/0.40 % (3827047)Peak memory usage: 10 MB
% 0.52/0.40 % (3827047)Instructions burned: 8 (million)
% 0.52/0.40 % (3827035)Instruction limit reached!
% 0.52/0.40 % (3827035)------------------------------
% 0.52/0.40 % (3827035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.40 % (3827035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.40 % (3827035)CaDiCaL version: 2.1.3
% 0.52/0.40 % (3827035)Termination reason: Instruction limit
% 0.52/0.40 % (3827035)Termination phase: Property scanning
% 0.52/0.40 % (3827035)Time elapsed: 0.011 s
% 0.52/0.40 % (3827035)Peak memory usage: 10 MB
% 0.52/0.40 % (3827035)Instructions burned: 26 (million)
% 0.52/0.40 % (3827060)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 % (3827060)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1147022308: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 % (3827057)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1260720661:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.52/0.41 % (3827060)Instruction limit reached!
% 0.52/0.41 % (3827060)------------------------------
% 0.52/0.41 % (3827060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827060)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827060)Termination reason: Instruction limit
% 0.52/0.41 % (3827060)Termination phase: shuffling
% 0.52/0.41 % (3827060)Time elapsed: 0.002 s
% 0.52/0.41 % (3827060)Peak memory usage: 10 MB
% 0.52/0.41 % (3827060)Instructions burned: 11 (million)
% 0.52/0.41 % (3827057)Instruction limit reached!
% 0.52/0.41 % (3827057)------------------------------
% 0.52/0.41 % (3827057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827057)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827057)Termination reason: Instruction limit
% 0.52/0.41 % (3827057)Termination phase: shuffling
% 0.52/0.41 % (3827057)Time elapsed: 0.003 s
% 0.52/0.41 % (3827057)Peak memory usage: 10 MB
% 0.52/0.41 % (3827057)Instructions burned: 6 (million)
% 0.52/0.41 % (3827067)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 % (3827067)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 % (3827061)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=35285049:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.52/0.41 % (3827067)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3578582903: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 % (3827036)Instruction limit reached!
% 0.52/0.41 % (3827036)------------------------------
% 0.52/0.41 % (3827036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827036)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827036)Termination reason: Instruction limit
% 0.52/0.41 % (3827036)Termination phase: Function definition elimination
% 0.52/0.41 % (3827036)Time elapsed: 0.034 s
% 0.52/0.41 % (3827036)Peak memory usage: 12 MB
% 0.52/0.41 % (3827036)Instructions burned: 77 (million)
% 0.52/0.41 % (3827061)Instruction limit reached!
% 0.52/0.41 % (3827061)------------------------------
% 0.52/0.41 % (3827061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827061)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827061)Termination reason: Instruction limit
% 0.52/0.41 % (3827061)Termination phase: shuffling
% 0.52/0.41 % (3827061)Time elapsed: 0.005 s
% 0.52/0.41 % (3827061)Peak memory usage: 10 MB
% 0.52/0.41 % (3827061)Instructions burned: 12 (million)
% 0.52/0.41 % (3827031)Instruction limit reached!
% 0.52/0.41 % (3827031)------------------------------
% 0.52/0.41 % (3827031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827031)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827031)Termination reason: Instruction limit
% 0.52/0.41 % (3827031)Termination phase: Property scanning
% 0.52/0.41 % (3827031)Time elapsed: 0.038 s
% 0.52/0.41 % (3827031)Peak memory usage: 12 MB
% 0.52/0.41 % (3827031)Instructions burned: 87 (million)
% 0.52/0.41 % (3827067)Instruction limit reached!
% 0.52/0.41 % (3827067)------------------------------
% 0.52/0.41 % (3827067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827067)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827067)Termination reason: Instruction limit
% 0.52/0.41 % (3827067)Termination phase: shuffling
% 0.52/0.41 % (3827067)Time elapsed: 0.007 s
% 0.52/0.41 % (3827067)Peak memory usage: 10 MB
% 0.52/0.41 % (3827067)Instructions burned: 30 (million)
% 0.52/0.41 % (3827068)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=133316466:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.52/0.41 % (3827078)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4078459147:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.52/0.41 % (3827075)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 % (3827074)lrs+10_1_si=on:cs=on:random_seed=2738902810:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.52/0.41 % (3827075)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=652956136:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.52/0.41 % (3827074)Instruction limit reached!
% 0.52/0.41 % (3827074)------------------------------
% 0.52/0.41 % (3827074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827074)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827074)Termination reason: Instruction limit
% 0.52/0.41 % (3827074)Termination phase: shuffling
% 0.52/0.41 % (3827074)Time elapsed: 0.004 s
% 0.52/0.41 % (3827077)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3457430176:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.52/0.41 % (3827074)Peak memory usage: 10 MB
% 0.52/0.41 % (3827074)Instructions burned: 9 (million)
% 0.52/0.41 % (3827075)Instruction limit reached!
% 0.52/0.41 % (3827075)------------------------------
% 0.52/0.41 % (3827075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827075)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827075)Termination reason: Instruction limit
% 0.52/0.41 % (3827075)Termination phase: shuffling
% 0.52/0.41 % (3827075)Time elapsed: 0.002 s
% 0.52/0.41 % (3827075)Peak memory usage: 10 MB
% 0.52/0.41 % (3827075)Instructions burned: 4 (million)
% 0.52/0.41 % (3827037)Instruction limit reached!
% 0.52/0.41 % (3827037)------------------------------
% 0.52/0.41 % (3827037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827037)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827037)Termination reason: Instruction limit
% 0.52/0.41 % (3827037)Termination phase: Saturation
% 0.52/0.41 % (3827037)Time elapsed: 0.069 s
% 0.52/0.41 % (3827037)Peak memory usage: 13 MB
% 0.52/0.41 % (3827037)Instructions burned: 157 (million)
% 0.52/0.41 % (3827078)Refutation not found, incomplete strategy
% 0.52/0.41 % (3827078)------------------------------
% 0.52/0.41 % (3827078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827078)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827078)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.41 % (3827078)Time elapsed: 0.021 s
% 0.52/0.41 % (3827078)Peak memory usage: 13 MB
% 0.52/0.41 % (3827078)Instructions burned: 88 (million)
% 0.52/0.41 % (3827078)------------------------------
% 0.52/0.41 % (3827078)------------------------------
% 0.52/0.41 % (3827077)Instruction limit reached!
% 0.52/0.41 % (3827077)------------------------------
% 0.52/0.41 % (3827077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827077)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827077)Termination reason: Instruction limit
% 0.52/0.41 % (3827077)Termination phase: shuffling
% 0.52/0.41 % (3827077)Time elapsed: 0.017 s
% 0.52/0.41 % (3827077)Peak memory usage: 11 MB
% 0.52/0.41 % (3827077)Instructions burned: 40 (million)
% 0.52/0.41 % (3827093)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1805286991:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.41 % (3827092)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=43562130:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.52/0.41 % (3827068)Instruction limit reached!
% 0.52/0.41 % (3827068)------------------------------
% 0.52/0.41 % (3827068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827068)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827068)Termination reason: Instruction limit
% 0.52/0.41 % (3827068)Termination phase: Property scanning
% 0.52/0.41 % (3827068)Time elapsed: 0.036 s
% 0.52/0.41 % (3827068)Peak memory usage: 11 MB
% 0.52/0.41 % (3827068)Instructions burned: 88 (million)
% 0.52/0.41 % (3827099)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1210692290:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.52/0.41 % (3827093)Instruction limit reached!
% 0.52/0.41 % (3827093)------------------------------
% 0.52/0.41 % (3827093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827093)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827093)Termination reason: Instruction limit
% 0.52/0.41 % (3827093)Termination phase: shuffling
% 0.52/0.41 % (3827093)Time elapsed: 0.007 s
% 0.52/0.41 % (3827093)Peak memory usage: 10 MB
% 0.52/0.41 % (3827093)Instructions burned: 16 (million)
% 0.52/0.41 % (3827034) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3827013-3827034"...
% 0.52/0.41 % (3827099)Instruction limit reached!
% 0.52/0.41 % (3827099)------------------------------
% 0.52/0.41 % (3827099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.41 % (3827099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.41 % (3827099)CaDiCaL version: 2.1.3
% 0.52/0.41 % (3827099)Termination reason: Instruction limit
% 0.52/0.41 % (3827099)Termination phase: shuffling
% 0.52/0.41 % (3827099)Time elapsed: 0.004 s
% 0.52/0.41 % (3827099)Peak memory usage: 10 MB
% 0.52/0.41 % (3827099)Instructions burned: 18 (million)
% 0.52/0.41 % (3827034)...printing done.
% 0.52/0.42 % (3827092)Instruction limit reached!
% 0.52/0.42 % (3827092)------------------------------
% 0.52/0.42 % (3827092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (3827092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (3827092)CaDiCaL version: 2.1.3
% 0.52/0.42 % (3827092)Termination reason: Instruction limit
% 0.52/0.42 % (3827092)Termination phase: Property scanning
% 0.52/0.42 % (3827092)Time elapsed: 0.011 s
% 0.52/0.42 % (3827092)Peak memory usage: 10 MB
% 0.52/0.42 % (3827092)Instructions burned: 26 (million)
% 0.52/0.42 % (3827034)Refutation found. Thanks to Tanya!
% 0.52/0.42 % SZS status Theorem for theBenchmark
% 0.52/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.42 % (3827034)------------------------------
% 0.52/0.42 % (3827034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.42 % (3827034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.42 % (3827034)CaDiCaL version: 2.1.3
% 0.52/0.42 % (3827034)Termination reason: Refutation
% 0.52/0.42 % (3827034)Time elapsed: 0.086 s
% 0.52/0.42 % (3827034)Peak memory usage: 14 MB
% 0.52/0.42 % (3827034)Instructions burned: 180 (million)
% 0.52/0.42 % (3827013)Success in time 0.145 s
% 0.52/0.42 % Vampire exiting
%------------------------------------------------------------------------------