%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Tue Sep 29 12:47:47 PM UTC 2026
% Result : Theorem 0.51s 0.80s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 81 ( 15 unt; 4 def)
% Number of atoms : 315 ( 33 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 388 ( 154 ~; 161 |; 44 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f18,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f35,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f54,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f66,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f65]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = apply(X0,X1)
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) )
& ( ( ( X2 = apply(X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f62]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7))
& in(sK7,relation_dom(sK8))
& relation(sK9)
& function(sK9)
& relation(sK8)
& function(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f66]) ).
fof(f88,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f125,plain,
function(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f126,plain,
relation(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
function(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f128,plain,
relation(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f129,plain,
in(sK7,relation_dom(sK8)),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)),
inference(cnf_transformation,[],[f82]) ).
fof(f136,plain,
! [X0,X1] :
( apply(X0,X1) = empty_set
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f88]) ).
fof(f197,plain,
( empty_set != apply(sK9,apply(sK8,sK7))
| in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ relation(relation_composition(sK8,sK9))
| ~ function(relation_composition(sK8,sK9)) ),
inference(superposition,[],[f130,f136]) ).
fof(f199,definition,
( spl10_1
<=> function(relation_composition(sK8,sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f201,plain,
( ~ function(relation_composition(sK8,sK9))
| spl10_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl10_2
<=> relation(relation_composition(sK8,sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f205,plain,
( ~ relation(relation_composition(sK8,sK9))
| spl10_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f207,definition,
( spl10_3
<=> in(sK7,relation_dom(relation_composition(sK8,sK9))) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f209,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f211,definition,
( spl10_4
<=> empty_set = apply(sK9,apply(sK8,sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f213,plain,
( empty_set != apply(sK9,apply(sK8,sK7))
| spl10_4 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f197,f211,f207,f203,f199]) ).
fof(f215,plain,
( ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| spl10_1 ),
inference(resolution,[],[f201,f98]) ).
fof(f217,plain,
( ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f215,f126]) ).
fof(f218,plain,
( ~ relation(sK9)
| ~ function(sK9)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f217,f125]) ).
fof(f219,plain,
( ~ function(sK9)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f218,f128]) ).
fof(f220,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f219,f127]) ).
fof(f221,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f230,plain,
( ~ relation(sK8)
| ~ relation(sK9)
| spl10_2 ),
inference(resolution,[],[f205,f92]) ).
fof(f232,plain,
( ~ relation(sK9)
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f230,f126]) ).
fof(f234,plain,
( $false
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f232,f128]) ).
fof(f235,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f241,plain,
( empty_set != empty_set
| in(apply(sK8,sK7),relation_dom(sK9))
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(superposition,[],[f213,f136]) ).
fof(f242,plain,
( in(apply(sK8,sK7),relation_dom(sK9))
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f243,plain,
( in(apply(sK8,sK7),relation_dom(sK9))
| ~ function(sK9)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f242,f128]) ).
fof(f244,plain,
( in(apply(sK8,sK7),relation_dom(sK9))
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f243,f127]) ).
fof(f250,plain,
( ~ in(sK7,relation_dom(sK8))
| in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(resolution,[],[f123,f244]) ).
fof(f257,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f250,f129]) ).
fof(f266,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f257,f126]) ).
fof(f267,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ relation(sK9)
| ~ function(sK9)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f266,f125]) ).
fof(f268,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| ~ function(sK9)
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f267,f128]) ).
fof(f269,plain,
( in(sK7,relation_dom(relation_composition(sK8,sK9)))
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f268,f127]) ).
fof(f270,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f269,f211,f207]) ).
fof(f274,plain,
( apply(relation_composition(sK8,sK9),sK7) = apply(sK9,apply(sK8,sK7))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| ~ spl10_3 ),
inference(resolution,[],[f209,f124]) ).
fof(f279,plain,
( ~ relation(sK8)
| ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f274,f130]) ).
fof(f280,plain,
( ~ function(sK8)
| ~ relation(sK9)
| ~ function(sK9)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f279,f126]) ).
fof(f281,plain,
( ~ relation(sK9)
| ~ function(sK9)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f280,f125]) ).
fof(f282,plain,
( ~ function(sK9)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f281,f128]) ).
fof(f283,plain,
( $false
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f282,f127]) ).
fof(f284,plain,
~ spl10_3,
inference(avatar_contradiction_clause,[],[f283]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3
| ~ spl10_4 ),
inference(sat_conversion,[],[f214]) ).
cnf(s2,plain,
spl10_1,
inference(sat_conversion,[],[f221]) ).
cnf(s3,plain,
spl10_2,
inference(sat_conversion,[],[f235]) ).
cnf(s5,plain,
( spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f270]) ).
cnf(s6,plain,
~ spl10_3,
inference(sat_conversion,[],[f284]) ).
cnf(s7,plain,
spl10_4,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s6,s3,s2]) ).
fof(f285,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 04:04:49 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.34 Running first-order theorem proving
% 0.06/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.80 % (3005680)Detected formulas, will run a generic FOF schedule.
% 0.51/0.80 % (3005687)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1215750560:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.51/0.80 % (3005685)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3956093788:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.51/0.80 % (3005686)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2216429973:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.51/0.80 % (3005688)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3974696626:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.51/0.80 % (3005690)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2709812496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.51/0.80 % (3005689)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2714503350:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.51/0.80 % (3005691)dis-21_1_sil=8000:lcm=predicate:random_seed=753807150:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.51/0.80 % (3005688)Refutation not found, incomplete strategy
% 0.51/0.80 % (3005688)------------------------------
% 0.51/0.80 % (3005688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.51/0.80 % (3005688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.80 % (3005688)CaDiCaL version: 2.1.3
% 0.51/0.80 % (3005688)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.80 % (3005688)Time elapsed: 0.001 s
% 0.51/0.80 % (3005688)Peak memory usage: 88 MB
% 0.51/0.80 % (3005688)Instructions burned: 2 (million)
% 0.51/0.80 % (3005690)First to succeed.
% 0.51/0.80 % (3005690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3005680"
% 0.51/0.80 % (3005689)Instruction limit reached!
% 0.51/0.80 % (3005689)------------------------------
% 0.51/0.80 % (3005689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.51/0.80 % (3005689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.80 % (3005689)CaDiCaL version: 2.1.3
% 0.51/0.80 % (3005689)Termination reason: Instruction limit
% 0.51/0.80 % (3005689)Termination phase: Saturation
% 0.51/0.80 % (3005689)Time elapsed: 0.034 s
% 0.51/0.80 % (3005689)Peak memory usage: 88 MB
% 0.51/0.80 % (3005689)Instructions burned: 121 (million)
% 0.51/0.80 % (3005691)Instruction limit reached!
% 0.51/0.80 % (3005691)------------------------------
% 0.51/0.80 % (3005691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.51/0.80 % (3005691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.80 % (3005691)CaDiCaL version: 2.1.3
% 0.51/0.80 % (3005691)Termination reason: Instruction limit
% 0.51/0.80 % (3005691)Termination phase: Saturation
% 0.51/0.80 % (3005691)Time elapsed: 0.036 s
% 0.51/0.80 % (3005691)Peak memory usage: 89 MB
% 0.51/0.80 % (3005691)Instructions burned: 131 (million)
% 0.51/0.80 % (3005699)lrs+10_1_sil=8000:sp=occurrence:random_seed=532339906:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.51/0.80 % (3005700)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2240576770:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.51/0.80 % (3005688)------------------------------
% 0.51/0.80 % (3005688)------------------------------
% 0.51/0.80 % (3005690)Refutation found. Thanks to Tanya!
% 0.51/0.80 % SZS status Theorem for theBenchmark
% 0.51/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.90 % (3005690)------------------------------
% 0.06/0.90 % (3005690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.06/0.90 % (3005690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.90 % (3005690)CaDiCaL version: 2.1.3
% 0.06/0.90 % (3005690)Termination reason: Refutation
% 0.06/0.90 % (3005690)Time elapsed: 0.004 s
% 0.06/0.90 % (3005690)Peak memory usage: 90 MB
% 0.06/0.90 % (3005690)Instructions burned: 10 (million)
% 0.06/0.90 % (3005690)------------------------------
% 0.06/0.90 % (3005690)------------------------------
% 0.06/0.90 % (3005680)Success in time 0.267 s
% 0.06/0.90 % Vampire exiting
%------------------------------------------------------------------------------