%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP063^2 : 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 : n011.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 08:08:10 AM UTC 2026
% Result : Theorem 0.51s 0.43s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 25 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 376 ( 17 ~; 9 |; 3 &; 344 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 83 ( 80 usr; 11 con; 0-4 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% 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,
type:
!>[X0: $tType] : $o ).
thf(func_def_1,type,
one:
!>[X0: $tType] : $o ).
thf(func_def_2,type,
ring:
!>[X0: $tType] : $o ).
thf(func_def_3,type,
zero:
!>[X0: $tType] : $o ).
thf(func_def_4,type,
minus:
!>[X0: $tType] : $o ).
thf(func_def_5,type,
semiring:
!>[X0: $tType] : $o ).
thf(func_def_6,type,
neg_numeral:
!>[X0: $tType] : $o ).
thf(func_def_7,type,
mult_zero:
!>[X0: $tType] : $o ).
thf(func_def_8,type,
group_add:
!>[X0: $tType] : $o ).
thf(func_def_9,type,
monoid_add:
!>[X0: $tType] : $o ).
thf(func_def_10,type,
monoid_mult:
!>[X0: $tType] : $o ).
thf(func_def_11,type,
idom_abs_sgn:
!>[X0: $tType] : $o ).
thf(func_def_12,type,
zero_neq_one:
!>[X0: $tType] : $o ).
thf(func_def_13,type,
ab_group_add:
!>[X0: $tType] : $o ).
thf(func_def_14,type,
comm_semiring:
!>[X0: $tType] : $o ).
thf(func_def_15,type,
semigroup_add:
!>[X0: $tType] : $o ).
thf(func_def_16,type,
semigroup_mult:
!>[X0: $tType] : $o ).
thf(func_def_17,type,
linordered_idom:
!>[X0: $tType] : $o ).
thf(func_def_18,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
thf(func_def_19,type,
ordered_semiring:
!>[X0: $tType] : $o ).
thf(func_def_20,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
thf(func_def_21,type,
comm_monoid_diff:
!>[X0: $tType] : $o ).
thf(func_def_22,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
thf(func_def_23,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
thf(func_def_24,type,
linordered_semidom:
!>[X0: $tType] : $o ).
thf(func_def_25,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
thf(func_def_26,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
thf(func_def_27,type,
comm_s1003936772cancel:
!>[X0: $tType] : $o ).
thf(func_def_28,type,
cancel1352612707id_add:
!>[X0: $tType] : $o ).
thf(func_def_29,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
thf(func_def_30,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
thf(func_def_31,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
thf(func_def_32,type,
ordere216010020id_add:
!>[X0: $tType] : $o ).
thf(func_def_33,type,
ordere142940540dd_abs:
!>[X0: $tType] : $o ).
thf(func_def_34,type,
ordere779506340up_add:
!>[X0: $tType] : $o ).
thf(func_def_35,type,
semiri1193490041visors:
!>[X0: $tType] : $o ).
thf(func_def_36,type,
linord1659791738miring:
!>[X0: $tType] : $o ).
thf(func_def_37,type,
canoni770627133id_add:
!>[X0: $tType] : $o ).
thf(func_def_38,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
thf(func_def_39,type,
ordere623563068d_diff:
!>[X0: $tType] : $o ).
thf(func_def_40,type,
semiri1923998003cancel:
!>[X0: $tType] : $o ).
thf(func_def_41,type,
ordere516151231imp_le:
!>[X0: $tType] : $o ).
thf(func_def_42,type,
genClo1161277105lle_PC: nat > real > real ).
thf(func_def_43,type,
genClo1278781456e_beta: real ).
thf(func_def_44,type,
genClo872980712lle_mu: real ).
thf(func_def_45,type,
genClo1144207539le_rho: real ).
thf(func_def_46,type,
genClo1015804716orrect: nat > real > $o ).
thf(func_def_47,type,
genClo293725282kRead2: ( nat > real ) > ( nat > real ) > real > ( nat > $o ) > $o ).
thf(func_def_48,type,
genClo1650508560e_rmax: real ).
thf(func_def_49,type,
genClo1651033342e_rmin: real ).
thf(func_def_50,type,
genClo1163638703lle_te: nat > nat > real ).
thf(func_def_51,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_52,type,
minus_minus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_53,type,
one_one:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
plus_plus:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_55,type,
times_times:
!>[X0: $tType] : ( X0 > X0 > X0 ) ).
thf(func_def_56,type,
zero_zero:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
ord_less_eq:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
i: nat ).
thf(func_def_59,type,
l: nat ).
thf(func_def_60,type,
p: nat ).
thf(func_def_61,type,
q: nat ).
thf(func_def_65,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_66,type,
vAND: $o > $o > $o ).
thf(func_def_67,type,
vOR: $o > $o > $o ).
thf(func_def_68,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_73,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_74,type,
vIMP: $o > $o > $o ).
thf(func_def_75,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).
thf(func_def_78,type,
sK1: nat > nat > nat ).
thf(func_def_79,type,
sK2: ( nat > $o ) > nat ).
thf(func_def_80,type,
sK3: ( nat > $o ) > nat > nat ).
thf(func_def_81,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X1: nat,X3: nat,X2: nat] :
( ( ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X3 ) )
& ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X3 ) ) )
=> ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X1 @ X3 ) @ ( genClo1163638703lle_te @ X2 @ X3 ) ) ) @ genClo1278781456e_beta ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_rts2b) ).
thf(f2,axiom,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_corr__p) ).
thf(f3,axiom,
genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_corr__q__tq) ).
thf(f325,conjecture,
ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f326,negated_conjecture,
~ ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta ),
inference(negated_conjecture,[status(cth)],[f325]) ).
thf(f385,plain,
genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ),
inference(rectify,[],[f3]) ).
thf(f386,plain,
( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
= $true ),
inference(fool_elimination,[],[f385]) ).
thf(f510,plain,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ),
inference(rectify,[],[f2]) ).
thf(f511,plain,
( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
= $true ),
inference(fool_elimination,[],[f510]) ).
thf(f711,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) )
& ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) ) )
=> ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) ),
inference(rectify,[],[f1]) ).
thf(f712,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) )
= $true )
& ( ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) )
= $true ) )
=> ( $true
= ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) ) ),
inference(fool_elimination,[],[f711]) ).
thf(f721,plain,
~ ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta ),
inference(rectify,[],[f326]) ).
thf(f722,plain,
( ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta )
!= $true ),
inference(fool_elimination,[],[f721]) ).
thf(f937,plain,
( ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta )
!= $true ),
inference(flattening,[],[f722]) ).
thf(f978,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true
= ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) )
| ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) )
!= $true )
| ( ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) )
!= $true ) ),
inference(ennf_transformation,[],[f712]) ).
thf(f979,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true
= ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) )
| ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) )
!= $true )
| ( ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) )
!= $true ) ),
inference(flattening,[],[f978]) ).
thf(f1086,plain,
( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
= $true ),
inference(cnf_transformation,[],[f511]) ).
thf(f1093,plain,
( ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) ) ) @ genClo1278781456e_beta )
!= $true ),
inference(cnf_transformation,[],[f937]) ).
thf(f1094,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( $true
= ( ord_less_eq @ real @ ( abs_abs @ real @ ( minus_minus @ real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) )
| ( ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) )
!= $true )
| ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f979]) ).
thf(f1139,plain,
( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
= $true ),
inference(cnf_transformation,[],[f386]) ).
thf(f1150,plain,
( ( $true != $true )
| ( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
!= $true )
| ( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
!= $true ) ),
inference(superposition,[],[f1093,f1094]) ).
thf(f1153,plain,
( ( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
!= $true )
| ( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1150]) ).
thf(f1154,plain,
( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus @ nat @ i @ one_one @ nat ) ) )
!= $true ),
inference(forward_subsumption_resolution,[],[f1153,f1139]) ).
thf(f1155,plain,
$false,
inference(forward_subsumption_resolution,[],[f1154,f1086]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP063^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:45:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.43 % (551180)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.51/0.43 % (551189)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=88025805:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.51/0.43 % (551191)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.51/0.43 % (551191)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
% 0.51/0.43 % (551189)Instruction limit reached!
% 0.51/0.43 % (551189)------------------------------
% 0.51/0.43 % (551189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551189)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551189)Termination reason: Instruction limit
% 0.51/0.43 % (551189)Termination phase: Property scanning
% 0.51/0.43 % (551189)Time elapsed: 0.006 s
% 0.51/0.43 % (551189)Peak memory usage: 10 MB
% 0.51/0.43 % (551189)Instructions burned: 25 (million)
% 0.51/0.43 % (551186)lrs+10_16_si=on:nwc=1.5:random_seed=3954006963:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.51/0.43 % (551187)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4192279941:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.51/0.43 % (551188)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=3939685238: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)
% 0.51/0.43 % (551190)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2555181987:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.51/0.43 % (551191)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=2058881550:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.51/0.43 % (551187)Instruction limit reached!
% 0.51/0.43 % (551187)------------------------------
% 0.51/0.43 % (551187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551187)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551187)Termination reason: Instruction limit
% 0.51/0.43 % (551187)Termination phase: shuffling
% 0.51/0.43 % (551187)Time elapsed: 0.003 s
% 0.51/0.43 % (551187)Peak memory usage: 10 MB
% 0.51/0.43 % (551187)Instructions burned: 6 (million)
% 0.51/0.43 % (551186)Instruction limit reached!
% 0.51/0.43 % (551186)------------------------------
% 0.51/0.43 % (551186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551186)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551186)Termination reason: Instruction limit
% 0.51/0.43 % (551186)Termination phase: Property scanning
% 0.51/0.43 % (551186)Time elapsed: 0.009 s
% 0.51/0.43 % (551186)Peak memory usage: 10 MB
% 0.51/0.43 % (551186)Instructions burned: 18 (million)
% 0.51/0.43 % (551193)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4007729237:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.43 % (551193)Instruction limit reached!
% 0.51/0.43 % (551193)------------------------------
% 0.51/0.43 % (551193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551193)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551193)Termination reason: Instruction limit
% 0.51/0.43 % (551193)Termination phase: shuffling
% 0.51/0.43 % (551193)Time elapsed: 0.001 s
% 0.51/0.43 % (551193)Peak memory usage: 10 MB
% 0.51/0.43 % (551193)Instructions burned: 3 (million)
% 0.51/0.43 % (551185)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3653966793:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.51/0.43 % (551202)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.43 % (551202)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=372744335:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.51/0.43 % (551202)Instruction limit reached!
% 0.51/0.43 % (551202)------------------------------
% 0.51/0.43 % (551202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551202)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551202)Termination reason: Instruction limit
% 0.51/0.43 % (551202)Termination phase: shuffling
% 0.51/0.43 % (551202)Time elapsed: 0.002 s
% 0.51/0.43 % (551202)Peak memory usage: 10 MB
% 0.51/0.43 % (551202)Instructions burned: 8 (million)
% 0.51/0.43 % (551205)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
% 0.51/0.43 % (551205)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.51/0.43 % (551190)Instruction limit reached!
% 0.51/0.43 % (551190)------------------------------
% 0.51/0.43 % (551190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551190)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551190)Termination reason: Instruction limit
% 0.51/0.43 % (551190)Termination phase: Saturation
% 0.51/0.43 % (551190)Time elapsed: 0.035 s
% 0.51/0.43 % (551190)Peak memory usage: 13 MB
% 0.51/0.43 % (551190)Instructions burned: 76 (million)
% 0.51/0.43 % (551205)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=886137106:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.51/0.43 % (551199)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2964182259:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.51/0.43 % (551205)Instruction limit reached!
% 0.51/0.43 % (551205)------------------------------
% 0.51/0.43 % (551205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551205)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551205)Termination reason: Instruction limit
% 0.51/0.43 % (551205)Termination phase: Property scanning
% 0.51/0.43 % (551205)Time elapsed: 0.008 s
% 0.51/0.43 % (551205)Peak memory usage: 10 MB
% 0.51/0.43 % (551205)Instructions burned: 31 (million)
% 0.51/0.43 % (551199)Instruction limit reached!
% 0.51/0.43 % (551199)------------------------------
% 0.51/0.43 % (551199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551199)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551199)Termination reason: Instruction limit
% 0.51/0.43 % (551199)Termination phase: shuffling
% 0.51/0.43 % (551199)Time elapsed: 0.007 s
% 0.51/0.43 % (551199)Peak memory usage: 10 MB
% 0.51/0.43 % (551199)Instructions burned: 7 (million)
% 0.51/0.43 % (551203)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1165984831:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.51/0.43 % (551203)Instruction limit reached!
% 0.51/0.43 % (551203)------------------------------
% 0.51/0.43 % (551203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551203)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551203)Termination reason: Instruction limit
% 0.51/0.43 % (551203)Termination phase: shuffling
% 0.51/0.43 % (551203)Time elapsed: 0.006 s
% 0.51/0.43 % (551203)Peak memory usage: 10 MB
% 0.51/0.43 % (551203)Instructions burned: 13 (million)
% 0.51/0.43 % (551209)lrs+10_1_si=on:cs=on:random_seed=4191586796:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.51/0.43 % (551207)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=893362350:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.51/0.43 % (551209)Instruction limit reached!
% 0.51/0.43 % (551209)------------------------------
% 0.51/0.43 % (551209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551209)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551209)Termination reason: Instruction limit
% 0.51/0.43 % (551209)Termination phase: shuffling
% 0.51/0.43 % (551209)Time elapsed: 0.003 s
% 0.51/0.43 % (551209)Peak memory usage: 10 MB
% 0.51/0.43 % (551209)Instructions burned: 12 (million)
% 0.51/0.43 % (551210)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.51/0.43 % (551210)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=2134876213:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.51/0.43 % (551215)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2675911823:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.51/0.43 % (551210)Instruction limit reached!
% 0.51/0.43 % (551210)------------------------------
% 0.51/0.43 % (551210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551210)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551210)Termination reason: Instruction limit
% 0.51/0.43 % (551210)Termination phase: shuffling
% 0.51/0.43 % (551210)Time elapsed: 0.002 s
% 0.51/0.43 % (551210)Peak memory usage: 10 MB
% 0.51/0.43 % (551210)Instructions burned: 4 (million)
% 0.51/0.43 % (551213)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=424223227:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.51/0.43 % (551215) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-551180-551215"...
% 0.51/0.43 % (551215)...printing done.
% 0.51/0.43 % (551191)Instruction limit reached!
% 0.51/0.43 % (551191)------------------------------
% 0.51/0.43 % (551191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551191)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551191)Termination reason: Instruction limit
% 0.51/0.43 % (551191)Termination phase: Saturation
% 0.51/0.43 % (551191)Time elapsed: 0.083 s
% 0.51/0.43 % (551191)Peak memory usage: 13 MB
% 0.51/0.43 % (551191)Instructions burned: 158 (million)
% 0.51/0.43 % (551215)Refutation found. Thanks to Tanya!
% 0.51/0.43 % SZS status Theorem for theBenchmark
% 0.51/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.43 % (551215)------------------------------
% 0.51/0.43 % (551215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.43 % (551215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.43 % (551215)CaDiCaL version: 2.1.3
% 0.51/0.43 % (551215)Termination reason: Refutation
% 0.51/0.43 % (551215)Time elapsed: 0.013 s
% 0.51/0.43 % (551215)Peak memory usage: 13 MB
% 0.51/0.43 % (551215)Instructions burned: 52 (million)
% 0.51/0.43 % (551180)Success in time 0.137 s
% 0.51/0.43 % Vampire exiting
%------------------------------------------------------------------------------