%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP123^1 : 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 : n016.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 08:08:26 AM UTC 2026
% Result : Theorem 0.75s 0.40s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 22 unt; 0 typ; 3 def)
% Number of atoms : 243 ( 65 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 375 ( 47 ~; 41 |; 9 &; 268 @)
% ( 4 <=>; 6 =>; 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 : 90 ( 87 usr; 14 con; 0-6 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_a: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
condit1627435690bove_a: ( a > a > $o ) > set_a > $o ).
thf(func_def_1,type,
condit1001553558elow_a: ( a > a > $o ) > set_a > $o ).
thf(func_def_2,type,
finite40241356em_a_a: ( a > a > a ) > $o ).
thf(func_def_3,type,
abel_semigroup_a: ( a > a > a ) > $o ).
thf(func_def_4,type,
semigroup_a: ( a > a > a ) > $o ).
thf(func_def_5,type,
lattice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > a ) > $o ).
thf(func_def_6,type,
semilattice_a: ( a > a > a ) > $o ).
thf(func_def_7,type,
semilattice_order_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_8,type,
lattic655834328_set_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_9,type,
lattic1885654924_set_a: ( a > a > a ) > $o ).
thf(func_def_10,type,
modula1376131916tice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).
thf(func_def_11,type,
modula397570059tice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).
thf(func_def_12,type,
modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(func_def_13,type,
modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(func_def_14,type,
modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(func_def_15,type,
modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(func_def_16,type,
modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).
thf(func_def_17,type,
modula1727524044comp_a: ( a > a > $o ) > a > a > $o ).
thf(func_def_18,type,
modula1962211574trib_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).
thf(func_def_19,type,
least_a: ( a > a > $o ) > ( a > $o ) > a ).
thf(func_def_20,type,
max_a: ( a > a > $o ) > a > a > a ).
thf(func_def_21,type,
min_a: ( a > a > $o ) > a > a > a ).
thf(func_def_22,type,
greatest_a: ( a > a > $o ) > ( a > $o ) > a ).
thf(func_def_23,type,
ordering_a: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_24,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_25,type,
set_gr1491433118Than_a: ( a > a > $o ) > a > a > set_a ).
thf(func_def_26,type,
member_a: a > set_a > $o ).
thf(func_def_27,type,
inf: a > a > a ).
thf(func_def_28,type,
less: a > a > $o ).
thf(func_def_29,type,
less_eq: a > a > $o ).
thf(func_def_30,type,
sup: a > a > a ).
thf(func_def_31,type,
x: a ).
thf(func_def_32,type,
y: a ).
thf(func_def_33,type,
z: a ).
thf(func_def_37,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_40,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
sK0: a ).
thf(func_def_46,type,
sK1: a ).
thf(func_def_47,type,
sK2: a ).
thf(func_def_48,type,
sK3: ( a > a > a ) > a ).
thf(func_def_49,type,
sK4: ( a > a > a ) > a ).
thf(func_def_50,type,
sK5: ( a > a > a ) > a ).
thf(func_def_51,type,
sK6: ( a > a > a ) > a ).
thf(func_def_52,type,
sK7: ( a > a > a ) > a ).
thf(func_def_53,type,
sK8: ( a > a > a ) > a ).
thf(func_def_54,type,
sK9: ( a > a > a ) > a ).
thf(func_def_55,type,
sK10: ( a > a > a ) > a ).
thf(func_def_56,type,
sK11: ( a > a > a ) > a ).
thf(func_def_57,type,
sK12: ( a > a > a ) > a ).
thf(func_def_58,type,
sK13: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_59,type,
sK14: ( a > $o ) > a > a ).
thf(func_def_60,type,
sK15: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_61,type,
sK16: set_a > a ).
thf(func_def_62,type,
sK17: a > set_a > a ).
thf(func_def_63,type,
sK18: a > ( a > $o ) > a ).
thf(func_def_64,type,
sK19: set_a > a ).
thf(func_def_65,type,
sK20: a > set_a > a ).
thf(func_def_66,type,
sK21: set_a > a > a ).
thf(func_def_67,type,
sK22: ( a > a > a ) > a ).
thf(func_def_68,type,
sK23: ( a > a > a ) > a ).
thf(func_def_69,type,
sK24: ( a > a > a ) > a ).
thf(func_def_70,type,
sK25: ( a > a > a ) > a ).
thf(func_def_71,type,
sK26: ( a > a > a ) > a ).
thf(func_def_72,type,
sK27: ( a > a > a ) > a ).
thf(func_def_73,type,
sK28: ( a > a > a ) > a ).
thf(func_def_74,type,
sK29: a ).
thf(func_def_75,type,
sK30: a ).
thf(func_def_76,type,
sK31: a ).
thf(func_def_77,type,
sK32: a > ( a > $o ) > a ).
thf(func_def_78,type,
sK33: a > ( a > $o ) > a ).
thf(func_def_79,type,
sK34: a > ( a > $o ) > a ).
thf(func_def_80,type,
sK35: a > ( a > $o ) > a ).
thf(func_def_81,type,
sK36: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_82,type,
sK37: set_a > a > a ).
thf(func_def_83,type,
sK38: a > ( a > $o ) > a ).
thf(func_def_84,type,
sK39: a > ( a > $o ) > a ).
thf(func_def_85,type,
vNOT: $o > $o ).
thf(f12,axiom,
! [X0: a,X2: a,X1: a] :
( ( less_eq @ X0 @ X1 )
=> ( ( less_eq @ X1 @ X2 )
=> ( less_eq @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_local_Oorder_Otrans) ).
thf(f107,axiom,
! [X0: a,X1: a] : ( less_eq @ X0 @ ( sup @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_local_Osup_Ocobounded1) ).
thf(f159,axiom,
! [X2: a,X0: a,X1: a] :
( ( ( less_eq @ X0 @ ( inf @ X1 @ X2 ) )
= ( less_eq @ X0 @ X1 ) )
& ( less_eq @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_local_Ole__inf__iff) ).
thf(f251,axiom,
less_eq @ x @ y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f254,conjecture,
less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
thf(f255,negated_conjecture,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(negated_conjecture,[status(cth)],[f254]) ).
thf(f348,plain,
less_eq @ x @ y,
inference(rectify,[],[f251]) ).
thf(f349,plain,
( ( less_eq @ x @ y )
= $true ),
inference(fool_elimination,[],[f348]) ).
thf(f413,plain,
! [X0: a,X1: a,X2: a] :
( ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
= ( less_eq @ X1 @ X2 ) )
& ( less_eq @ X1 @ X0 ) ),
inference(rectify,[],[f159]) ).
thf(f414,plain,
! [X0: a,X2: a,X1: a] :
( ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
= $true )
<=> ( ( ( less_eq @ X1 @ X0 )
= $true )
& ( ( less_eq @ X1 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f413]) ).
thf(f438,plain,
! [X0: a,X1: a] : ( less_eq @ X0 @ ( sup @ X0 @ X1 ) ),
inference(rectify,[],[f107]) ).
thf(f439,plain,
! [X0: a,X1: a] :
( ( less_eq @ X0 @ ( sup @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f438]) ).
thf(f450,plain,
! [X0: a,X1: a,X2: a] :
( ( less_eq @ X0 @ X2 )
=> ( ( less_eq @ X2 @ X1 )
=> ( less_eq @ X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f451,plain,
! [X2: a,X1: a,X0: a] :
( ( ( less_eq @ X0 @ X2 )
= $true )
=> ( ( ( less_eq @ X2 @ X1 )
= $true )
=> ( ( less_eq @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f450]) ).
thf(f468,plain,
~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
inference(rectify,[],[f255]) ).
thf(f469,plain,
( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true ),
inference(fool_elimination,[],[f468]) ).
thf(f672,plain,
( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true ),
inference(flattening,[],[f469]) ).
thf(f765,plain,
! [X2: a,X1: a,X0: a] :
( ( ( less_eq @ X0 @ X1 )
= $true )
| ( ( less_eq @ X2 @ X1 )
!= $true )
| ( ( less_eq @ X0 @ X2 )
!= $true ) ),
inference(ennf_transformation,[],[f451]) ).
thf(f766,plain,
! [X0: a,X1: a,X2: a] :
( ( ( less_eq @ X0 @ X2 )
!= $true )
| ( ( less_eq @ X2 @ X1 )
!= $true )
| ( ( less_eq @ X0 @ X1 )
= $true ) ),
inference(flattening,[],[f765]) ).
thf(f922,plain,
! [X0: a,X2: a,X1: a] :
( ( ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
= $true )
| ( ( less_eq @ X1 @ X0 )
!= $true )
| ( ( less_eq @ X1 @ X2 )
!= $true ) )
& ( ( ( ( less_eq @ X1 @ X0 )
= $true )
& ( ( less_eq @ X1 @ X2 )
= $true ) )
| ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
!= $true ) ) ),
inference(nnf_transformation,[],[f414]) ).
thf(f923,plain,
! [X0: a,X2: a,X1: a] :
( ( ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
= $true )
| ( ( less_eq @ X1 @ X0 )
!= $true )
| ( ( less_eq @ X1 @ X2 )
!= $true ) )
& ( ( ( ( less_eq @ X1 @ X0 )
= $true )
& ( ( less_eq @ X1 @ X2 )
= $true ) )
| ( ( less_eq @ X1 @ ( inf @ X2 @ X0 ) )
!= $true ) ) ),
inference(flattening,[],[f922]) ).
thf(f924,plain,
! [X0: a,X1: a,X2: a] :
( ( ( $true
= ( less_eq @ X2 @ ( inf @ X1 @ X0 ) ) )
| ( ( less_eq @ X2 @ X0 )
!= $true )
| ( ( less_eq @ X2 @ X1 )
!= $true ) )
& ( ( ( ( less_eq @ X2 @ X0 )
= $true )
& ( ( less_eq @ X2 @ X1 )
= $true ) )
| ( $true
!= ( less_eq @ X2 @ ( inf @ X1 @ X0 ) ) ) ) ),
inference(rectify,[],[f923]) ).
thf(f1124,plain,
( ( less_eq @ x @ y )
= $true ),
inference(cnf_transformation,[],[f349]) ).
thf(f1155,plain,
! [X2: a,X0: a,X1: a] :
( ( $true
= ( less_eq @ X2 @ ( inf @ X1 @ X0 ) ) )
| ( ( less_eq @ X2 @ X1 )
!= $true )
| ( ( less_eq @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f924]) ).
thf(f1314,plain,
! [X2: a,X0: a,X1: a] :
( ( ( less_eq @ X0 @ X1 )
= $true )
| ( ( less_eq @ X2 @ X1 )
!= $true )
| ( ( less_eq @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f766]) ).
thf(f1327,plain,
! [X0: a,X1: a] :
( ( less_eq @ X0 @ ( sup @ X0 @ X1 ) )
= $true ),
inference(cnf_transformation,[],[f439]) ).
thf(f1444,plain,
( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true ),
inference(cnf_transformation,[],[f672]) ).
thf(f1532,definition,
( spl40_11
<=> ( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl40_11])],[avatar_definition]) ).
thf(f1534,plain,
( ( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true )
| spl40_11 ),
inference(avatar_component_clause,[],[f1532]) ).
thf(f1535,plain,
~ spl40_11,
inference(avatar_split_clause,[],[f1444,f1532]) ).
thf(f1580,definition,
( spl40_21
<=> ( ( less_eq @ x @ y )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl40_21])],[avatar_definition]) ).
thf(f1582,plain,
( ( ( less_eq @ x @ y )
= $true )
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f1580]) ).
thf(f1583,plain,
spl40_21,
inference(avatar_split_clause,[],[f1124,f1580]) ).
thf(f1779,definition,
( spl40_50
<=> ( ( less_eq @ x @ ( inf @ y @ ( sup @ x @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl40_50])],[avatar_definition]) ).
thf(f1781,plain,
( ( ( less_eq @ x @ ( inf @ y @ ( sup @ x @ z ) ) )
!= $true )
| spl40_50 ),
inference(avatar_component_clause,[],[f1779]) ).
thf(f2611,plain,
( ! [X0: a] :
( ( ( less_eq @ X0 @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true )
| ( $true
!= ( less_eq @ x @ X0 ) )
| ( $true != $true ) )
| spl40_11 ),
inference(superposition,[],[f1534,f1314]) ).
thf(f2629,plain,
( ! [X0: a] :
( ( ( less_eq @ X0 @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
!= $true )
| ( $true
!= ( less_eq @ x @ X0 ) ) )
| spl40_11 ),
inference(trivial_inequality_removal,[],[f2611]) ).
thf(f2647,plain,
( ( $true != $true )
| ( ( less_eq @ x @ ( inf @ y @ ( sup @ x @ z ) ) )
!= $true )
| spl40_11 ),
inference(superposition,[],[f2629,f1327]) ).
thf(f2664,plain,
( ( ( less_eq @ x @ ( inf @ y @ ( sup @ x @ z ) ) )
!= $true )
| spl40_11 ),
inference(trivial_inequality_removal,[],[f2647]) ).
thf(f3086,plain,
( ( $true != $true )
| ( ( less_eq @ x @ y )
!= $true )
| ( $true
!= ( less_eq @ x @ ( sup @ x @ z ) ) )
| spl40_50 ),
inference(superposition,[],[f1781,f1155]) ).
thf(f3093,plain,
( ( ( less_eq @ x @ y )
!= $true )
| ( $true
!= ( less_eq @ x @ ( sup @ x @ z ) ) )
| spl40_50 ),
inference(trivial_inequality_removal,[],[f3086]) ).
thf(f3094,plain,
( ( $true
!= ( less_eq @ x @ ( sup @ x @ z ) ) )
| ~ spl40_21
| spl40_50 ),
inference(forward_subsumption_resolution,[],[f3093,f1582]) ).
thf(f3095,plain,
( $false
| ~ spl40_21
| spl40_50 ),
inference(forward_subsumption_resolution,[],[f3094,f1327]) ).
thf(f3096,plain,
( ~ spl40_21
| spl40_50 ),
inference(avatar_contradiction_clause,[],[f3095]) ).
thf(f3098,plain,
( ~ spl40_50
| spl40_11 ),
inference(avatar_split_clause,[],[f2664,f1532,f1779]) ).
cnf(s10,plain,
~ spl40_11,
inference(sat_conversion,[],[f1535]) ).
cnf(s19,plain,
spl40_21,
inference(sat_conversion,[],[f1583]) ).
cnf(s152,plain,
( ~ spl40_21
| spl40_50 ),
inference(sat_conversion,[],[f3096]) ).
cnf(s154,plain,
( spl40_11
| ~ spl40_50 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s156,plain,
spl40_50,
inference(rat,[],[s152,s19]) ).
cnf(s157,plain,
spl40_11,
inference(rat,[],[s154,s156]) ).
cnf(s159,plain,
$false,
inference(rat,[],[s10,s157]) ).
thf(f3099,plain,
$false,
inference(avatar_sat_refutation,[],[s159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP123^1 : 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 : n016.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 20:01:50 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 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
% 0.75/0.39 % (832076)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.39 % (832082)lrs+10_16_si=on:nwc=1.5:random_seed=678468650:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.39 % (832081)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1049902753:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.39 % (832083)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3312497101:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.39 % (832085)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2446484615:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.39 % (832084)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=3319600347: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)
% 0.75/0.39 % (832087)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.39 % (832087)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
% 0.75/0.39 % (832086)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1469194055:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.39 % (832083)Instruction limit reached!
% 0.75/0.39 % (832083)------------------------------
% 0.75/0.39 % (832083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.39 % (832083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.39 % (832083)CaDiCaL version: 2.1.3
% 0.75/0.39 % (832083)Termination reason: Instruction limit
% 0.75/0.39 % (832083)Termination phase: shuffling
% 0.75/0.39 % (832083)Time elapsed: 0.003 s
% 0.75/0.39 % (832083)Peak memory usage: 10 MB
% 0.75/0.39 % (832083)Instructions burned: 8 (million)
% 0.75/0.39 % (832087)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=2318375657:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.39 % (832082)Instruction limit reached!
% 0.75/0.39 % (832082)------------------------------
% 0.75/0.39 % (832082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.39 % (832082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.39 % (832082)CaDiCaL version: 2.1.3
% 0.75/0.39 % (832082)Termination reason: Instruction limit
% 0.75/0.39 % (832082)Termination phase: Property scanning
% 0.75/0.39 % (832082)Time elapsed: 0.008 s
% 0.75/0.39 % (832082)Peak memory usage: 10 MB
% 0.75/0.39 % (832082)Instructions burned: 19 (million)
% 0.75/0.39 % (832085)Instruction limit reached!
% 0.75/0.39 % (832085)------------------------------
% 0.75/0.39 % (832085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.39 % (832085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.39 % (832085)CaDiCaL version: 2.1.3
% 0.75/0.39 % (832085)Termination reason: Instruction limit
% 0.75/0.39 % (832085)Termination phase: shuffling
% 0.75/0.39 % (832085)Time elapsed: 0.011 s
% 0.75/0.39 % (832085)Peak memory usage: 10 MB
% 0.75/0.39 % (832085)Instructions burned: 25 (million)
% 0.75/0.39 % (832094)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4008800213:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.39 % (832094)Instruction limit reached!
% 0.75/0.39 % (832094)------------------------------
% 0.75/0.39 % (832094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.39 % (832094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.39 % (832094)CaDiCaL version: 2.1.3
% 0.75/0.39 % (832094)Termination reason: Instruction limit
% 0.75/0.39 % (832094)Termination phase: shuffling
% 0.75/0.39 % (832094)Time elapsed: 0.001 s
% 0.75/0.39 % (832094)Peak memory usage: 10 MB
% 0.75/0.39 % (832094)Instructions burned: 2 (million)
% 0.75/0.39 % (832096)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1845557028:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.75/0.39 % (832097)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.40 % (832096)Instruction limit reached!
% 0.75/0.40 % (832096)------------------------------
% 0.75/0.40 % (832096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832096)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832096)Termination reason: Instruction limit
% 0.75/0.40 % (832096)Termination phase: shuffling
% 0.75/0.40 % (832096)Time elapsed: 0.003 s
% 0.75/0.40 % (832096)Peak memory usage: 10 MB
% 0.75/0.40 % (832096)Instructions burned: 6 (million)
% 0.75/0.40 % (832097)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2640945833:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.75/0.40 % (832097)Instruction limit reached!
% 0.75/0.40 % (832097)------------------------------
% 0.75/0.40 % (832097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832097)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832097)Termination reason: Instruction limit
% 0.75/0.40 % (832097)Termination phase: shuffling
% 0.75/0.40 % (832097)Time elapsed: 0.004 s
% 0.75/0.40 % (832097)Peak memory usage: 10 MB
% 0.75/0.40 % (832097)Instructions burned: 9 (million)
% 0.75/0.40 % (832099)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=499187730:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.75/0.40 % (832102)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
% 0.75/0.40 % (832102)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.40 % (832087)Instruction limit reached!
% 0.75/0.40 % (832087)------------------------------
% 0.75/0.40 % (832087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832087)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832087)Termination reason: Instruction limit
% 0.75/0.40 % (832087)Termination phase: Saturation
% 0.75/0.40 % (832087)Time elapsed: 0.042 s
% 0.75/0.40 % (832087)Peak memory usage: 13 MB
% 0.75/0.40 % (832087)Instructions burned: 160 (million)
% 0.75/0.40 % (832102)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=874348843:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.75/0.40 % (832099)Instruction limit reached!
% 0.75/0.40 % (832099)------------------------------
% 0.75/0.40 % (832099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832099)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832099)Termination reason: Instruction limit
% 0.75/0.40 % (832099)Termination phase: shuffling
% 0.75/0.40 % (832099)Time elapsed: 0.006 s
% 0.75/0.40 % (832099)Peak memory usage: 10 MB
% 0.75/0.40 % (832099)Instructions burned: 13 (million)
% 0.75/0.40 % (832081)Instruction limit reached!
% 0.75/0.40 % (832081)------------------------------
% 0.75/0.40 % (832081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832081)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832081)Termination reason: Instruction limit
% 0.75/0.40 % (832081)Termination phase: Saturation
% 0.75/0.40 % (832081)Time elapsed: 0.052 s
% 0.75/0.40 % (832081)Peak memory usage: 13 MB
% 0.75/0.40 % (832081)Instructions burned: 87 (million)
% 0.75/0.40 % (832103)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=4032272856:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.75/0.40 % (832086)Instruction limit reached!
% 0.75/0.40 % (832086)------------------------------
% 0.75/0.40 % (832086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832086)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832086)Termination reason: Instruction limit
% 0.75/0.40 % (832086)Termination phase: Saturation
% 0.75/0.40 % (832086)Time elapsed: 0.056 s
% 0.75/0.40 % (832086)Peak memory usage: 12 MB
% 0.75/0.40 % (832086)Instructions burned: 76 (million)
% 0.75/0.40 % (832102)Instruction limit reached!
% 0.75/0.40 % (832102)------------------------------
% 0.75/0.40 % (832102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832102)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832102)Termination reason: Instruction limit
% 0.75/0.40 % (832102)Termination phase: Property scanning
% 0.75/0.40 % (832102)Time elapsed: 0.013 s
% 0.75/0.40 % (832102)Peak memory usage: 10 MB
% 0.75/0.40 % (832102)Instructions burned: 30 (million)
% 0.75/0.40 % (832106)lrs+10_1_si=on:cs=on:random_seed=1138680425:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.75/0.40 % (832107)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.75/0.40 % (832107)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=2118452228:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.40 % (832106)Instruction limit reached!
% 0.75/0.40 % (832106)------------------------------
% 0.75/0.40 % (832106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832106)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832106)Termination reason: Instruction limit
% 0.75/0.40 % (832106)Termination phase: Property scanning
% 0.75/0.40 % (832106)Time elapsed: 0.004 s
% 0.75/0.40 % (832106)Peak memory usage: 10 MB
% 0.75/0.40 % (832106)Instructions burned: 17 (million)
% 0.75/0.40 % (832107)Instruction limit reached!
% 0.75/0.40 % (832107)------------------------------
% 0.75/0.40 % (832107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832107)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832107)Termination reason: Instruction limit
% 0.75/0.40 % (832107)Termination phase: shuffling
% 0.75/0.40 % (832107)Time elapsed: 0.003 s
% 0.75/0.40 % (832107)Peak memory usage: 10 MB
% 0.75/0.40 % (832107)Instructions burned: 6 (million)
% 0.75/0.40 % (832108)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2645908569:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.75/0.40 % (832111)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2165296080:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.75/0.40 % (832114)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1216715656:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.75/0.40 % (832114)Instruction limit reached!
% 0.75/0.40 % (832114)------------------------------
% 0.75/0.40 % (832114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832114)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832114)Termination reason: Instruction limit
% 0.75/0.40 % (832114)Termination phase: Property scanning
% 0.75/0.40 % (832114)Time elapsed: 0.007 s
% 0.75/0.40 % (832114)Peak memory usage: 10 MB
% 0.75/0.40 % (832114)Instructions burned: 19 (million)
% 0.75/0.40 % (832103)Instruction limit reached!
% 0.75/0.40 % (832103)------------------------------
% 0.75/0.40 % (832103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832103)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832103)Termination reason: Instruction limit
% 0.75/0.40 % (832103)Termination phase: Property scanning
% 0.75/0.40 % (832103)Time elapsed: 0.036 s
% 0.75/0.40 % (832103)Peak memory usage: 11 MB
% 0.75/0.40 % (832103)Instructions burned: 88 (million)
% 0.75/0.40 % (832110)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3083864776:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.75/0.40 % (832111)Instruction limit reached!
% 0.75/0.40 % (832111)------------------------------
% 0.75/0.40 % (832111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832111)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832111)Termination reason: Instruction limit
% 0.75/0.40 % (832111)Termination phase: SInE selection
% 0.75/0.40 % (832111)Time elapsed: 0.011 s
% 0.75/0.40 % (832111)Peak memory usage: 10 MB
% 0.75/0.40 % (832111)Instructions burned: 25 (million)
% 0.75/0.40 % (832084) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-832076-832084"...
% 0.75/0.40 % (832084)...printing done.
% 0.75/0.40 % (832115)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=159912954:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.75/0.40 % (832084)Refutation found. Thanks to Tanya!
% 0.75/0.40 % SZS status Theorem for theBenchmark
% 0.75/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.40 % (832084)------------------------------
% 0.75/0.40 % (832084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.40 % (832084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.40 % (832084)CaDiCaL version: 2.1.3
% 0.75/0.40 % (832084)Termination reason: Refutation
% 0.75/0.40 % (832084)Time elapsed: 0.095 s
% 0.75/0.40 % (832084)Peak memory usage: 14 MB
% 0.75/0.40 % (832084)Instructions burned: 186 (million)
% 0.75/0.40 % (832076)Success in time 0.14 s
% 0.75/0.40 % Vampire exiting
%------------------------------------------------------------------------------