%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP063^1 : 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 : 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 08:08:10 AM UTC 2026
% Result : Theorem 0.43s 0.43s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 31 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 337 ( 20 ~; 11 |; 3 &; 300 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 15 con; 0-4 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% 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,
genClo1161277105lle_PC: nat > real > real ).
thf(func_def_1,type,
genClo1278781456e_beta: real ).
thf(func_def_2,type,
genClo872980712lle_mu: real ).
thf(func_def_3,type,
genClo1144207539le_rho: real ).
thf(func_def_4,type,
genClo1015804716orrect: nat > real > $o ).
thf(func_def_5,type,
genClo293725282kRead2: ( nat > real ) > ( nat > real ) > real > ( nat > $o ) > $o ).
thf(func_def_6,type,
genClo1650508560e_rmax: real ).
thf(func_def_7,type,
genClo1651033342e_rmin: real ).
thf(func_def_8,type,
genClo1163638703lle_te: nat > nat > real ).
thf(func_def_9,type,
abs_abs_real: real > real ).
thf(func_def_10,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_11,type,
minus_minus_real: real > real > real ).
thf(func_def_12,type,
one_one_nat: nat ).
thf(func_def_13,type,
one_one_real: real ).
thf(func_def_14,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_15,type,
plus_plus_real: real > real > real ).
thf(func_def_16,type,
times_times_nat: nat > nat > nat ).
thf(func_def_17,type,
times_times_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,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_21,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_22,type,
i: nat ).
thf(func_def_23,type,
l: nat ).
thf(func_def_24,type,
p: nat ).
thf(func_def_25,type,
q: nat ).
thf(func_def_27,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_30,type,
vAND: $o > $o > $o ).
thf(func_def_31,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_34,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_35,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
vOR: $o > $o > $o ).
thf(func_def_37,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vIMP: $o > $o > $o ).
thf(func_def_39,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
sK0: ( nat > $o ) > nat ).
thf(func_def_42,type,
sK1: nat > ( nat > $o ) > nat ).
thf(func_def_43,type,
sK2: nat > nat > nat ).
thf(func_def_44,type,
sK3: nat > nat > nat ).
thf(func_def_45,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: nat,X2: nat,X1: nat] :
( ( ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X2 ) )
& ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X2 ) ) )
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X0 @ X2 ) @ ( genClo1163638703lle_te @ X1 @ X2 ) ) ) @ 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(f177,axiom,
! [X0: real,X1: real] :
( ( abs_abs_real @ ( minus_minus_real @ X0 @ X1 ) )
= ( abs_abs_real @ ( minus_minus_real @ X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_abs__minus__commute) ).
thf(f338,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(f339,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)],[f338]) ).
thf(f344,plain,
genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(rectify,[],[f2]) ).
thf(f345,plain,
( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(fool_elimination,[],[f344]) ).
thf(f435,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,[],[f339]) ).
thf(f436,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,[],[f435]) ).
thf(f480,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(f481,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X1 ) )
= $true )
& ( $true
= ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) ) ) )
=> ( $true
= ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X0 @ X1 ) @ ( genClo1163638703lle_te @ X2 @ X1 ) ) ) @ genClo1278781456e_beta ) ) ),
inference(fool_elimination,[],[f480]) ).
thf(f647,plain,
genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(rectify,[],[f3]) ).
thf(f648,plain,
( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(fool_elimination,[],[f647]) ).
thf(f692,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,[],[f436]) ).
thf(f787,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 )
| ( $true
!= ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) ) ) ),
inference(ennf_transformation,[],[f481]) ).
thf(f788,plain,
! [X1: nat,X0: nat,X2: nat] :
( ( ( 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 ) )
| ( $true
!= ( genClo1015804716orrect @ X0 @ ( genClo1163638703lle_te @ X0 @ X1 ) ) ) ),
inference(flattening,[],[f787]) ).
thf(f865,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( $true
!= ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X0 ) ) )
| ( ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ X0 ) @ ( genClo1163638703lle_te @ X2 @ X0 ) ) ) @ genClo1278781456e_beta )
= $true )
| ( $true
!= ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f788]) ).
thf(f940,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,[],[f692]) ).
thf(f941,plain,
! [X0: real,X1: real] :
( ( abs_abs_real @ ( minus_minus_real @ X0 @ X1 ) )
= ( abs_abs_real @ ( minus_minus_real @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f982,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ X0 ) @ ( genClo1163638703lle_te @ X2 @ X0 ) ) ) @ genClo1278781456e_beta )
= $true )
| ( $true
!= ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X0 ) ) )
| ( $true
!= ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f865]) ).
thf(f1000,plain,
( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f648]) ).
thf(f1059,plain,
( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) )
= $true ),
inference(cnf_transformation,[],[f345]) ).
thf(f1106,plain,
( ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta )
!= $true ),
inference(forward_demodulation,[],[f940,f941]) ).
thf(f1107,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 )
| ( $true != $true ) ),
inference(superposition,[],[f1106,f982]) ).
thf(f1111,plain,
( ( ( 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(trivial_inequality_removal,[],[f1107]) ).
thf(f1113,plain,
( ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) )
!= $true ),
inference(forward_subsumption_resolution,[],[f1111,f1059]) ).
thf(f1114,plain,
$false,
inference(forward_subsumption_resolution,[],[f1113,f1000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP063^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:43:11 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.20/0.27 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
% 0.43/0.40 % (3826284)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.43/0.40 % (3826295)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.43/0.40 % (3826295)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
% 0.43/0.40 % (3826295)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=3315361474:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.43/0.40 % (3826290)lrs+10_16_si=on:nwc=1.5:random_seed=695585547:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.43/0.40 % (3826289)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2764851791:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.43/0.40 % (3826291)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1022828476:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.43/0.40 % (3826292)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=135772948: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)
% 0.43/0.40 % (3826293)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2248237488:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.43/0.40 % (3826294)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2223557848:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.43/0.40 % (3826291)Instruction limit reached!
% 0.43/0.40 % (3826291)------------------------------
% 0.43/0.40 % (3826291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.40 % (3826291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.40 % (3826291)CaDiCaL version: 2.1.3
% 0.43/0.40 % (3826291)Termination reason: Instruction limit
% 0.43/0.40 % (3826291)Termination phase: shuffling
% 0.43/0.40 % (3826291)Time elapsed: 0.002 s
% 0.43/0.40 % (3826291)Peak memory usage: 10 MB
% 0.43/0.40 % (3826291)Instructions burned: 4 (million)
% 0.43/0.40 % (3826290)Instruction limit reached!
% 0.43/0.40 % (3826290)------------------------------
% 0.43/0.40 % (3826290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.40 % (3826290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.40 % (3826290)CaDiCaL version: 2.1.3
% 0.43/0.40 % (3826290)Termination reason: Instruction limit
% 0.43/0.40 % (3826290)Termination phase: Property scanning
% 0.43/0.40 % (3826290)Time elapsed: 0.009 s
% 0.43/0.40 % (3826290)Peak memory usage: 10 MB
% 0.43/0.40 % (3826290)Instructions burned: 19 (million)
% 0.43/0.40 % (3826293)Instruction limit reached!
% 0.43/0.40 % (3826293)------------------------------
% 0.43/0.40 % (3826293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.40 % (3826293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.40 % (3826293)CaDiCaL version: 2.1.3
% 0.43/0.40 % (3826293)Termination reason: Instruction limit
% 0.43/0.40 % (3826293)Termination phase: Preprocessing 1
% 0.43/0.40 % (3826293)Time elapsed: 0.010 s
% 0.43/0.40 % (3826293)Peak memory usage: 10 MB
% 0.43/0.40 % (3826293)Instructions burned: 25 (million)
% 0.43/0.40 % (3826303)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=396968174:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.43/0.40 % (3826303)Instruction limit reached!
% 0.43/0.40 % (3826303)------------------------------
% 0.43/0.40 % (3826303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.40 % (3826303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.40 % (3826303)CaDiCaL version: 2.1.3
% 0.43/0.40 % (3826303)Termination reason: Instruction limit
% 0.43/0.40 % (3826303)Termination phase: shuffling
% 0.43/0.40 % (3826303)Time elapsed: 0.002 s
% 0.43/0.40 % (3826303)Peak memory usage: 10 MB
% 0.43/0.40 % (3826303)Instructions burned: 3 (million)
% 0.43/0.40 % (3826305)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.43/0.43 % (3826304)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=738568690:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.43/0.43 % (3826305)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=902733411:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.43/0.43 % (3826295)Instruction limit reached!
% 0.43/0.43 % (3826295)------------------------------
% 0.43/0.43 % (3826295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826304)Instruction limit reached!
% 0.43/0.43 % (3826304)------------------------------
% 0.43/0.43 % (3826304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826304)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826304)Termination reason: Instruction limit
% 0.43/0.43 % (3826304)Termination phase: shuffling
% 0.43/0.43 % (3826304)Time elapsed: 0.003 s
% 0.43/0.43 % (3826304)Peak memory usage: 10 MB
% 0.43/0.43 % (3826304)Instructions burned: 5 (million)
% 0.43/0.43 % (3826294)Instruction limit reached!
% 0.43/0.43 % (3826294)------------------------------
% 0.43/0.43 % (3826294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826294)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826294)Termination reason: Instruction limit
% 0.43/0.43 % (3826294)Termination phase: Property scanning
% 0.43/0.43 % (3826294)Time elapsed: 0.032 s
% 0.43/0.43 % (3826294)Peak memory usage: 12 MB
% 0.43/0.43 % (3826294)Instructions burned: 76 (million)
% 0.43/0.43 % (3826295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826295)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826295)Termination reason: Instruction limit
% 0.43/0.43 % (3826295)Termination phase: Saturation
% 0.43/0.43 % (3826295)Time elapsed: 0.040 s
% 0.43/0.43 % (3826295)Peak memory usage: 13 MB
% 0.43/0.43 % (3826295)Instructions burned: 162 (million)
% 0.43/0.43 % (3826305)Instruction limit reached!
% 0.43/0.43 % (3826305)------------------------------
% 0.43/0.43 % (3826305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826305)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826305)Termination reason: Instruction limit
% 0.43/0.43 % (3826305)Termination phase: shuffling
% 0.43/0.43 % (3826305)Time elapsed: 0.004 s
% 0.43/0.43 % (3826305)Peak memory usage: 10 MB
% 0.43/0.43 % (3826305)Instructions burned: 9 (million)
% 0.43/0.43 % (3826289)Instruction limit reached!
% 0.43/0.43 % (3826289)------------------------------
% 0.43/0.43 % (3826289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826289)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826289)Termination reason: Instruction limit
% 0.43/0.43 % (3826289)Termination phase: Saturation
% 0.43/0.43 % (3826289)Time elapsed: 0.037 s
% 0.43/0.43 % (3826289)Peak memory usage: 12 MB
% 0.43/0.43 % (3826289)Instructions burned: 87 (million)
% 0.43/0.43 % (3826310)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
% 0.43/0.43 % (3826310)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.43/0.43 % (3826307)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3054226162:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.43/0.43 % (3826310)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=344067326:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.43/0.43 % (3826307)Instruction limit reached!
% 0.43/0.43 % (3826307)------------------------------
% 0.43/0.43 % (3826307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826307)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826307)Termination reason: Instruction limit
% 0.43/0.43 % (3826307)Termination phase: Property scanning
% 0.43/0.43 % (3826307)Time elapsed: 0.006 s
% 0.43/0.43 % (3826307)Peak memory usage: 10 MB
% 0.43/0.43 % (3826307)Instructions burned: 14 (million)
% 0.43/0.43 % (3826313)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.43/0.43 % (3826310)Instruction limit reached!
% 0.43/0.43 % (3826310)------------------------------
% 0.43/0.43 % (3826310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826310)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826310)Termination reason: Instruction limit
% 0.43/0.43 % (3826310)Termination phase: Property scanning
% 0.43/0.43 % (3826310)Time elapsed: 0.007 s
% 0.43/0.43 % (3826310)Peak memory usage: 10 MB
% 0.43/0.43 % (3826310)Instructions burned: 33 (million)
% 0.43/0.43 % (3826311)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=3010559264:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.43/0.43 % (3826312)lrs+10_1_si=on:cs=on:random_seed=3018414979:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.43/0.43 % (3826313)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=1332015504:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.43/0.43 % (3826313)Instruction limit reached!
% 0.43/0.43 % (3826313)------------------------------
% 0.43/0.43 % (3826313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826313)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826313)Termination reason: Instruction limit
% 0.43/0.43 % (3826313)Termination phase: shuffling
% 0.43/0.43 % (3826313)Time elapsed: 0.002 s
% 0.43/0.43 % (3826313)Peak memory usage: 10 MB
% 0.43/0.43 % (3826313)Instructions burned: 4 (million)
% 0.43/0.43 % (3826312)Instruction limit reached!
% 0.43/0.43 % (3826312)------------------------------
% 0.43/0.43 % (3826312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826314)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=596229004:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.43/0.43 % (3826312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826312)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826312)Termination reason: Instruction limit
% 0.43/0.43 % (3826312)Termination phase: shuffling
% 0.43/0.43 % (3826312)Time elapsed: 0.004 s
% 0.43/0.43 % (3826312)Peak memory usage: 10 MB
% 0.43/0.43 % (3826312)Instructions burned: 9 (million)
% 0.43/0.43 % (3826319)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1806448075:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.43/0.43 % (3826317)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3912864961:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.43/0.43 % (3826319)Instruction limit reached!
% 0.43/0.43 % (3826319)------------------------------
% 0.43/0.43 % (3826319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826319)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826319)Termination reason: Instruction limit
% 0.43/0.43 % (3826319)Termination phase: SInE selection
% 0.43/0.43 % (3826319)Time elapsed: 0.006 s
% 0.43/0.43 % (3826319)Peak memory usage: 10 MB
% 0.43/0.43 % (3826319)Instructions burned: 28 (million)
% 0.43/0.43 % (3826314)Instruction limit reached!
% 0.43/0.43 % (3826314)------------------------------
% 0.43/0.43 % (3826314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826314)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826314)Termination reason: Instruction limit
% 0.43/0.43 % (3826314)Termination phase: Property scanning
% 0.43/0.43 % (3826314)Time elapsed: 0.017 s
% 0.43/0.43 % (3826314)Peak memory usage: 11 MB
% 0.43/0.43 % (3826314)Instructions burned: 39 (million)
% 0.43/0.43 % (3826324)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2780553955:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.43/0.43 % (3826323)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1820083768:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.43/0.43 % (3826327)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3661171654:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.43/0.43 % (3826323)Instruction limit reached!
% 0.43/0.43 % (3826323)------------------------------
% 0.43/0.43 % (3826323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826323)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826323)Termination reason: Instruction limit
% 0.43/0.43 % (3826323)Termination phase: Property scanning
% 0.43/0.43 % (3826323)Time elapsed: 0.006 s
% 0.43/0.43 % (3826323)Peak memory usage: 10 MB
% 0.43/0.43 % (3826323)Instructions burned: 15 (million)
% 0.43/0.43 % (3826327)Instruction limit reached!
% 0.43/0.43 % (3826327)------------------------------
% 0.43/0.43 % (3826327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826327)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826327)Termination reason: Instruction limit
% 0.43/0.43 % (3826327)Termination phase: Property scanning
% 0.43/0.43 % (3826327)Time elapsed: 0.004 s
% 0.43/0.43 % (3826327)Peak memory usage: 10 MB
% 0.43/0.43 % (3826327)Instructions burned: 19 (million)
% 0.43/0.43 % (3826311)Instruction limit reached!
% 0.43/0.43 % (3826311)------------------------------
% 0.43/0.43 % (3826311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826311)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826311)Termination reason: Instruction limit
% 0.43/0.43 % (3826311)Termination phase: Function definition elimination
% 0.43/0.43 % (3826311)Time elapsed: 0.035 s
% 0.43/0.43 % (3826311)Peak memory usage: 11 MB
% 0.43/0.43 % (3826311)Instructions burned: 87 (million)
% 0.43/0.43 % (3826328)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3338061065: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)
% 0.43/0.43 % (3826333)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=971197828:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.43/0.43 % (3826328)Instruction limit reached!
% 0.43/0.43 % (3826328)------------------------------
% 0.43/0.43 % (3826328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826328)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826328)Termination reason: Instruction limit
% 0.43/0.43 % (3826328)Termination phase: shuffling
% 0.43/0.43 % (3826328)Time elapsed: 0.002 s
% 0.43/0.43 % (3826328)Peak memory usage: 10 MB
% 0.43/0.43 % (3826328)Instructions burned: 3 (million)
% 0.43/0.43 % (3826317) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3826284-3826317"...
% 0.43/0.43 % (3826333)Instruction limit reached!
% 0.43/0.43 % (3826333)------------------------------
% 0.43/0.43 % (3826333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826333)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826333)Termination reason: Instruction limit
% 0.43/0.43 % (3826333)Termination phase: Property scanning
% 0.43/0.43 % (3826333)Time elapsed: 0.005 s
% 0.43/0.43 % (3826333)Peak memory usage: 10 MB
% 0.43/0.43 % (3826333)Instructions burned: 24 (million)
% 0.43/0.43 % (3826332)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1894489408:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.43/0.43 % (3826317)...printing done.
% 0.43/0.43 % (3826317)Refutation found. Thanks to Tanya!
% 0.43/0.43 % SZS status Theorem for theBenchmark
% 0.43/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.43 % (3826317)------------------------------
% 0.43/0.43 % (3826317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.43 % (3826317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.43 % (3826317)CaDiCaL version: 2.1.3
% 0.43/0.43 % (3826317)Termination reason: Refutation
% 0.43/0.43 % (3826317)Time elapsed: 0.031 s
% 0.43/0.43 % (3826317)Peak memory usage: 13 MB
% 0.43/0.43 % (3826317)Instructions burned: 67 (million)
% 0.43/0.43 % (3826284)Success in time 0.147 s
% 0.43/0.43 % Vampire exiting
%------------------------------------------------------------------------------