%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP056^1 : 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 : n001.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 08:08:08 AM UTC 2026
% Result : Theorem 0.23s 0.37s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 13 unt; 0 typ; 2 def)
% Number of atoms : 39 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 119 ( 13 ~; 11 |; 0 &; 92 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 98 ( 96 usr; 7 con; 0-4 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_c1059388851t_unit: $tType ).
thf(type_def_6,type,
config256849571t_unit: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_1,type,
one_one_nat: nat ).
thf(func_def_2,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_3,type,
prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(func_def_4,type,
last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit ).
thf(func_def_5,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(func_def_6,type,
nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).
thf(func_def_7,type,
size_s1406904903t_unit: list_c1059388851t_unit > nat ).
thf(func_def_8,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_9,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_10,type,
fe: nat > list_c1059388851t_unit ).
thf(func_def_11,type,
n0: nat ).
thf(func_def_12,type,
n: nat ).
thf(func_def_16,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_19,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_20,type,
vAND: $o > $o > $o ).
thf(func_def_21,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_22,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_24,type,
vIMP: $o > $o > $o ).
thf(func_def_25,type,
vNOT: $o > $o ).
thf(func_def_26,type,
vOR: $o > $o > $o ).
thf(func_def_27,type,
sP0: nat > nat > nat > $o ).
thf(func_def_28,type,
sP1: nat > nat > nat > $o ).
thf(func_def_29,type,
sK2: nat > ( nat > config256849571t_unit > $o ) > config256849571t_unit ).
thf(func_def_30,type,
sK3: list_c1059388851t_unit > ( nat > config256849571t_unit > $o ) > nat > nat ).
thf(func_def_31,type,
sK4: ( nat > config256849571t_unit > $o ) > nat > list_c1059388851t_unit ).
thf(func_def_32,type,
sK5: ( nat > config256849571t_unit > $o ) > nat > nat ).
thf(func_def_33,type,
sK6: nat > list_c1059388851t_unit ).
thf(func_def_34,type,
sK7: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_35,type,
sK8: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_36,type,
sK9: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_37,type,
sK10: ( nat > nat ) > nat ).
thf(func_def_38,type,
sK11: ( nat > nat ) > nat ).
thf(func_def_39,type,
sK12: nat > nat ).
thf(func_def_40,type,
sK13: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_41,type,
sK14: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_42,type,
sK15: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_43,type,
sK16: nat > nat ).
thf(func_def_44,type,
sK17: list_c1059388851t_unit > list_c1059388851t_unit > nat ).
thf(func_def_45,type,
sK18: ( nat > nat ) > nat ).
thf(func_def_46,type,
sK19: ( nat > nat ) > nat ).
thf(func_def_47,type,
sK20: nat > nat ).
thf(func_def_48,type,
sK21: nat > nat ).
thf(func_def_49,type,
sK22: ( nat > $o ) > nat ).
thf(func_def_50,type,
sK23: nat > nat ).
thf(func_def_51,type,
sK24: ( list_c1059388851t_unit > $o ) > list_c1059388851t_unit ).
thf(func_def_52,type,
sK25: nat > nat ).
thf(func_def_53,type,
sK26: ( nat > nat ) > nat ).
thf(func_def_54,type,
sK27: ( nat > nat ) > nat ).
thf(func_def_55,type,
sK28: ( nat > nat > $o ) > nat ).
thf(func_def_56,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_57,type,
sK30: ( nat > nat > $o ) > nat ).
thf(func_def_58,type,
sK31: ( nat > nat > $o ) > nat ).
thf(func_def_59,type,
sK32: ( nat > nat > $o ) > nat ).
thf(func_def_60,type,
sK33: ( nat > nat > $o ) > nat ).
thf(func_def_61,type,
sK34: ( nat > nat > $o ) > nat ).
thf(func_def_62,type,
sK35: ( nat > nat > $o ) > nat ).
thf(func_def_63,type,
sK36: ( nat > nat > $o ) > nat ).
thf(func_def_64,type,
sK37: nat > nat ).
thf(func_def_65,type,
sK38: ( nat > $o ) > nat ).
thf(func_def_66,type,
sK39: ( nat > nat ) > nat ).
thf(func_def_67,type,
sK40: ( nat > nat ) > nat ).
thf(func_def_68,type,
sK41: nat > nat ).
thf(func_def_69,type,
sK42: ( nat > $o ) > nat ).
thf(func_def_70,type,
sK43: ( nat > $o ) > nat > nat ).
thf(func_def_71,type,
sK44: ( nat > $o ) > nat > nat ).
thf(func_def_72,type,
sK45: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_73,type,
sK46: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_74,type,
sK47: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_75,type,
sK48: ( nat > nat ) > nat ).
thf(func_def_76,type,
sK49: ( nat > nat ) > nat ).
thf(func_def_77,type,
sK50: ( nat > nat ) > nat ).
thf(func_def_78,type,
sK51: ( nat > nat ) > nat ).
thf(func_def_79,type,
sK52: ( nat > $o ) > nat > nat ).
thf(func_def_80,type,
sK53: ( nat > $o ) > nat ).
thf(func_def_81,type,
sK54: nat > nat > nat ).
thf(func_def_82,type,
sK55: nat > nat ).
thf(func_def_83,type,
sK56: ( nat > nat ) > nat ).
thf(func_def_84,type,
sK57: ( nat > nat ) > nat ).
thf(func_def_85,type,
sK58: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_86,type,
sK59: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_87,type,
sK60: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_88,type,
sK61: nat > nat > nat ).
thf(func_def_89,type,
sK62: ( nat > nat ) > nat ).
thf(func_def_90,type,
sK63: ( nat > nat ) > nat ).
thf(func_def_91,type,
sK64: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK65: ( nat > nat ) > nat ).
thf(func_def_93,type,
sK66: ( nat > nat ) > nat ).
thf(func_def_94,type,
sK67: ( nat > nat ) > nat ).
thf(func_def_95,type,
sK68: nat > nat ).
thf(f1,axiom,
( ( fe @ n )
!= nil_co1338500125t_unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_FeNNotEmpty) ).
thf(f2,axiom,
! [X0: list_c1059388851t_unit] :
( ( X0 != nil_co1338500125t_unit )
=> ( ( last_c571238084t_unit @ X0 )
= ( nth_co1649820636t_unit @ X0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ X0 ) @ one_one_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_LastIsLastIndex) ).
thf(f215,conjecture,
( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f216,negated_conjecture,
( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
inference(negated_conjecture,[status(cth)],[f215]) ).
thf(f584,plain,
( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
inference(flattening,[],[f216]) ).
thf(f776,plain,
! [X0: list_c1059388851t_unit] :
( ( ( last_c571238084t_unit @ X0 )
= ( nth_co1649820636t_unit @ X0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ X0 ) @ one_one_nat ) ) )
| ( nil_co1338500125t_unit = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f1152,plain,
( ( fe @ n )
!= nil_co1338500125t_unit ),
inference(cnf_transformation,[],[f1]) ).
thf(f1186,plain,
( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
inference(cnf_transformation,[],[f584]) ).
thf(f1294,plain,
! [X0: list_c1059388851t_unit] :
( ( ( last_c571238084t_unit @ X0 )
= ( nth_co1649820636t_unit @ X0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ X0 ) @ one_one_nat ) ) )
| ( nil_co1338500125t_unit = X0 ) ),
inference(cnf_transformation,[],[f776]) ).
thf(f1636,definition,
( spl69_2
<=> ( ( last_c571238084t_unit @ ( fe @ n ) )
= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ) ),
introduced(definition,[new_symbols(definition,[spl69_2])],[avatar_definition]) ).
thf(f1638,plain,
( ( ( last_c571238084t_unit @ ( fe @ n ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
| spl69_2 ),
inference(avatar_component_clause,[],[f1636]) ).
thf(f1639,plain,
~ spl69_2,
inference(avatar_split_clause,[],[f1186,f1636]) ).
thf(f1641,definition,
( spl69_3
<=> ( ( fe @ n )
= nil_co1338500125t_unit ) ),
introduced(definition,[new_symbols(definition,[spl69_3])],[avatar_definition]) ).
thf(f1643,plain,
( ( ( fe @ n )
!= nil_co1338500125t_unit )
| spl69_3 ),
inference(avatar_component_clause,[],[f1641]) ).
thf(f1644,plain,
~ spl69_3,
inference(avatar_split_clause,[],[f1152,f1641]) ).
thf(f1727,plain,
( ( ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) )
!= ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) )
| ( ( fe @ n )
= nil_co1338500125t_unit )
| spl69_2 ),
inference(superposition,[],[f1638,f1294]) ).
thf(f1728,plain,
( ( ( fe @ n )
= nil_co1338500125t_unit )
| spl69_2 ),
inference(trivial_inequality_removal,[],[f1727]) ).
thf(f1729,plain,
( $false
| spl69_2
| spl69_3 ),
inference(forward_subsumption_resolution,[],[f1728,f1643]) ).
thf(f1730,plain,
( spl69_2
| spl69_3 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
cnf(s2,plain,
~ spl69_2,
inference(sat_conversion,[],[f1639]) ).
cnf(s3,plain,
~ spl69_3,
inference(sat_conversion,[],[f1644]) ).
cnf(s24,plain,
( spl69_2
| spl69_3 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s25,plain,
spl69_2,
inference(rat,[],[s24,s3]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s2,s25]) ).
thf(f1731,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP056^1 : 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 : n001.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 19:50:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.26 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
% 0.23/0.37 % (1729477)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.37 % (1729483)lrs+10_16_si=on:nwc=1.5:random_seed=3875317796:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.37 % (1729488)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.37 % (1729488)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
% 0.23/0.37 % (1729483)Instruction limit reached!
% 0.23/0.37 % (1729483)------------------------------
% 0.23/0.37 % (1729483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729483)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729483)Termination reason: Instruction limit
% 0.23/0.37 % (1729483)Termination phase: Unused predicate definition removal
% 0.23/0.37 % (1729483)Time elapsed: 0.005 s
% 0.23/0.37 % (1729483)Peak memory usage: 10 MB
% 0.23/0.37 % (1729483)Instructions burned: 22 (million)
% 0.23/0.37 % (1729482)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3404987919:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.37 % (1729485)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=174153089: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)
% 0.23/0.37 % (1729484)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3092613117:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.37 % (1729486)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2141314896:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.37 % (1729487)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=443388924:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.37 % (1729488)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=2123116754:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.37 % (1729484)Instruction limit reached!
% 0.23/0.37 % (1729484)------------------------------
% 0.23/0.37 % (1729484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729484)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729484)Termination reason: Instruction limit
% 0.23/0.37 % (1729484)Termination phase: shuffling
% 0.23/0.37 % (1729484)Time elapsed: 0.002 s
% 0.23/0.37 % (1729484)Peak memory usage: 10 MB
% 0.23/0.37 % (1729484)Instructions burned: 4 (million)
% 0.23/0.37 % (1729490)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4290754520:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.37 % (1729486)Instruction limit reached!
% 0.23/0.37 % (1729486)------------------------------
% 0.23/0.37 % (1729486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729486)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729486)Termination reason: Instruction limit
% 0.23/0.37 % (1729486)Termination phase: Preprocessing 3
% 0.23/0.37 % (1729486)Time elapsed: 0.012 s
% 0.23/0.37 % (1729486)Peak memory usage: 10 MB
% 0.23/0.37 % (1729486)Instructions burned: 26 (million)
% 0.23/0.37 % (1729490)Instruction limit reached!
% 0.23/0.37 % (1729490)------------------------------
% 0.23/0.37 % (1729490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729490)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729490)Termination reason: Instruction limit
% 0.23/0.37 % (1729490)Termination phase: shuffling
% 0.23/0.37 % (1729490)Time elapsed: 0.002 s
% 0.23/0.37 % (1729490)Peak memory usage: 10 MB
% 0.23/0.37 % (1729490)Instructions burned: 11 (million)
% 0.23/0.37 % (1729499)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.37 % (1729497)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4037686447:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.37 % (1729499)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=497406524:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.37 % (1729497)Instruction limit reached!
% 0.23/0.37 % (1729497)------------------------------
% 0.23/0.37 % (1729497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729497)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729497)Termination reason: Instruction limit
% 0.23/0.37 % (1729497)Termination phase: shuffling
% 0.23/0.37 % (1729497)Time elapsed: 0.003 s
% 0.23/0.37 % (1729497)Peak memory usage: 10 MB
% 0.23/0.37 % (1729497)Instructions burned: 6 (million)
% 0.23/0.37 % (1729499)Instruction limit reached!
% 0.23/0.37 % (1729499)------------------------------
% 0.23/0.37 % (1729499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729499)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729499)Termination reason: Instruction limit
% 0.23/0.37 % (1729499)Termination phase: shuffling
% 0.23/0.37 % (1729499)Time elapsed: 0.003 s
% 0.23/0.37 % (1729499)Peak memory usage: 10 MB
% 0.23/0.37 % (1729499)Instructions burned: 15 (million)
% 0.23/0.37 % (1729500)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3756747480:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.37 % (1729487)Instruction limit reached!
% 0.23/0.37 % (1729487)------------------------------
% 0.23/0.37 % (1729487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729487)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729487)Termination reason: Instruction limit
% 0.23/0.37 % (1729487)Termination phase: Property scanning
% 0.23/0.37 % (1729487)Time elapsed: 0.032 s
% 0.23/0.37 % (1729487)Peak memory usage: 11 MB
% 0.23/0.37 % (1729487)Instructions burned: 76 (million)
% 0.23/0.37 % (1729500)Instruction limit reached!
% 0.23/0.37 % (1729500)------------------------------
% 0.23/0.37 % (1729500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729500)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729500)Termination reason: Instruction limit
% 0.23/0.37 % (1729500)Termination phase: Property scanning
% 0.23/0.37 % (1729500)Time elapsed: 0.005 s
% 0.23/0.37 % (1729500)Peak memory usage: 10 MB
% 0.23/0.37 % (1729500)Instructions burned: 12 (million)
% 0.23/0.37 % (1729504)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=2928413080:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.23/0.37 % (1729503)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
% 0.23/0.37 % (1729503)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.37 % (1729503)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3461743544:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.23/0.37 % (1729485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1729477-1729485"...
% 0.23/0.37 % (1729506)lrs+10_1_si=on:cs=on:random_seed=1239774109:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.23/0.37 % (1729508)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.23/0.37 % (1729485)...printing done.
% 0.23/0.37 % (1729482)Instruction limit reached!
% 0.23/0.37 % (1729482)------------------------------
% 0.23/0.37 % (1729482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729482)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729482)Termination reason: Instruction limit
% 0.23/0.37 % (1729482)Termination phase: Property scanning
% 0.23/0.37 % (1729482)Time elapsed: 0.054 s
% 0.23/0.37 % (1729482)Peak memory usage: 11 MB
% 0.23/0.37 % (1729482)Instructions burned: 87 (million)
% 0.23/0.37 % (1729485)Refutation found. Thanks to Tanya!
% 0.23/0.37 % SZS status Theorem for theBenchmark
% 0.23/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.37 % (1729485)------------------------------
% 0.23/0.37 % (1729485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1729485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1729485)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1729485)Termination reason: Refutation
% 0.23/0.37 % (1729485)Time elapsed: 0.052 s
% 0.23/0.37 % (1729485)Peak memory usage: 14 MB
% 0.23/0.37 % (1729485)Instructions burned: 112 (million)
% 0.23/0.37 % (1729477)Success in time 0.101 s
% 0.23/0.37 % Vampire exiting
%------------------------------------------------------------------------------