%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV751_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:19:25 PM UTC 2026
% Result : Theorem 2.19s 0.72s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 55 ~; 48 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 15 con; 0-4 aty)
% Number of variables : 73 ( 71 !; 2 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
event: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
agent: $tType ).
tff(type_def_9,type,
msg: $tType ).
tff(type_def_10,type,
nat: $tType ).
tff(type_def_11,type,
keymode: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
bad: fun(agent,bool) ).
tff(func_def_1,type,
notes: ( agent * msg ) > event ).
tff(func_def_2,type,
says: ( agent * agent * msg ) > event ).
tff(func_def_3,type,
knows: ( agent * list(event) ) > fun(msg,bool) ).
tff(func_def_4,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_5,type,
set:
!>[X0: $tType] : ( list(X0) > fun(X0,bool) ) ).
tff(func_def_6,type,
server: agent ).
tff(func_def_7,type,
spy: agent ).
tff(func_def_8,type,
analz: fun(msg,bool) > fun(msg,bool) ).
tff(func_def_9,type,
agent1: agent > msg ).
tff(func_def_10,type,
crypt: ( nat * msg ) > msg ).
tff(func_def_11,type,
key: nat > msg ).
tff(func_def_12,type,
mPair: ( msg * msg ) > msg ).
tff(func_def_13,type,
nonce: nat > msg ).
tff(func_def_14,type,
parts: fun(msg,bool) > fun(msg,bool) ).
tff(func_def_15,type,
symKeys: fun(nat,bool) ).
tff(func_def_16,type,
nS_Sha254967238shared: fun(list(event),bool) ).
tff(func_def_17,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_18,type,
publicKey: keymode > fun(agent,nat) ).
tff(func_def_19,type,
shrK: fun(agent,nat) ).
tff(func_def_20,type,
image:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > fun(X1,bool) ) ).
tff(func_def_21,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_22,type,
fFalse: bool ).
tff(func_def_23,type,
fTrue: bool ).
tff(func_def_24,type,
a: agent ).
tff(func_def_25,type,
b: agent ).
tff(func_def_26,type,
k: nat ).
tff(func_def_27,type,
k1: nat ).
tff(func_def_28,type,
na: msg ).
tff(func_def_29,type,
x: msg ).
tff(func_def_30,type,
evs: list(event) ).
tff(func_def_31,type,
sK0: ( list(event) * nat * msg ) > msg ).
tff(func_def_32,type,
sK1: fun(msg,bool) > msg ).
tff(func_def_33,type,
sK2: fun(msg,bool) > nat ).
tff(func_def_34,type,
sK3: fun(msg,bool) > msg ).
tff(func_def_35,type,
sK4: fun(msg,bool) > msg ).
tff(func_def_36,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
nS_Sha993195050haredp: list(event) > $o ).
tff(pred_def_2,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_3,type,
pp: bool > $o ).
tff(f8,axiom,
! [X0: list(event),X1: nat,X2: agent,X3: msg,X4: agent] :
( member(event,says(server,X4,crypt(aa(agent,nat,shrK,X4),mPair(X3,mPair(agent1(X2),mPair(key(X1),crypt(aa(agent,nat,shrK,X2),mPair(key(X1),agent1(X4)))))))),set(event,X0))
=> ( ~ member(agent,X4,bad)
=> ( ~ member(agent,X2,bad)
=> ( member(list(event),X0,nS_Sha254967238shared)
=> ( ! [X5: msg] : ~ member(event,notes(spy,mPair(X3,mPair(X5,key(X1)))),set(event,X0))
=> ~ member(msg,key(X1),analz(knows(spy,X0))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_secrecy__lemma) ).
tff(f92,axiom,
! [X0: list(event),X1: msg,X2: nat,X3: agent,X4: msg,X5: nat,X6: agent] :
( member(event,says(server,X6,crypt(X5,mPair(X4,mPair(agent1(X3),mPair(key(X2),X1))))),set(event,X0))
=> ( member(list(event),X0,nS_Sha254967238shared)
=> ( ~ member(nat,X2,image(agent,nat,shrK,top_top(fun(agent,bool))))
& ( X1 = crypt(aa(agent,nat,shrK,X3),mPair(key(X2),agent1(X6))) )
& ( X5 = aa(agent,nat,shrK,X6) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_Says__Server__message__form) ).
tff(f103,axiom,
member(event,says(server,a,crypt(k1,mPair(na,mPair(agent1(b),mPair(key(k),x))))),set(event,evs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f104,axiom,
! [X0: msg] : ~ member(event,notes(spy,mPair(na,mPair(X0,key(k)))),set(event,evs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f105,axiom,
~ member(agent,a,bad),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f106,axiom,
~ member(agent,b,bad),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
tff(f107,axiom,
member(list(event),evs,nS_Sha254967238shared),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
tff(f108,conjecture,
~ member(msg,key(k),analz(knows(spy,evs))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
tff(f109,negated_conjecture,
~ ~ member(msg,key(k),analz(knows(spy,evs))),
inference(negated_conjecture,[status(cth)],[f108]) ).
tff(f111,plain,
member(msg,key(k),analz(knows(spy,evs))),
inference(flattening,[],[f109]) ).
tff(f119,plain,
! [X0: list(event),X1: nat,X2: agent,X3: msg,X4: agent] :
( ~ member(msg,key(X1),analz(knows(spy,X0)))
| ? [X5: msg] : member(event,notes(spy,mPair(X3,mPair(X5,key(X1)))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| member(agent,X2,bad)
| member(agent,X4,bad)
| ~ member(event,says(server,X4,crypt(aa(agent,nat,shrK,X4),mPair(X3,mPair(agent1(X2),mPair(key(X1),crypt(aa(agent,nat,shrK,X2),mPair(key(X1),agent1(X4)))))))),set(event,X0)) ),
inference(ennf_transformation,[],[f8]) ).
tff(f120,plain,
! [X0: list(event),X1: nat,X2: agent,X3: msg,X4: agent] :
( ~ member(msg,key(X1),analz(knows(spy,X0)))
| ? [X5: msg] : member(event,notes(spy,mPair(X3,mPair(X5,key(X1)))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| member(agent,X2,bad)
| member(agent,X4,bad)
| ~ member(event,says(server,X4,crypt(aa(agent,nat,shrK,X4),mPair(X3,mPair(agent1(X2),mPair(key(X1),crypt(aa(agent,nat,shrK,X2),mPair(key(X1),agent1(X4)))))))),set(event,X0)) ),
inference(flattening,[],[f119]) ).
tff(f164,plain,
! [X0: list(event),X1: msg,X2: nat,X3: agent,X4: msg,X5: nat,X6: agent] :
( ( ~ member(nat,X2,image(agent,nat,shrK,top_top(fun(agent,bool))))
& ( X1 = crypt(aa(agent,nat,shrK,X3),mPair(key(X2),agent1(X6))) )
& ( X5 = aa(agent,nat,shrK,X6) ) )
| ~ member(list(event),X0,nS_Sha254967238shared)
| ~ member(event,says(server,X6,crypt(X5,mPair(X4,mPair(agent1(X3),mPair(key(X2),X1))))),set(event,X0)) ),
inference(ennf_transformation,[],[f92]) ).
tff(f165,plain,
! [X0: list(event),X1: msg,X2: nat,X3: agent,X4: msg,X5: nat,X6: agent] :
( ( ~ member(nat,X2,image(agent,nat,shrK,top_top(fun(agent,bool))))
& ( X1 = crypt(aa(agent,nat,shrK,X3),mPair(key(X2),agent1(X6))) )
& ( X5 = aa(agent,nat,shrK,X6) ) )
| ~ member(list(event),X0,nS_Sha254967238shared)
| ~ member(event,says(server,X6,crypt(X5,mPair(X4,mPair(agent1(X3),mPair(key(X2),X1))))),set(event,X0)) ),
inference(flattening,[],[f164]) ).
tff(f175,plain,
! [X0: list(event),X1: nat,X2: agent,X3: msg,X4: agent] :
( ~ member(msg,key(X1),analz(knows(spy,X0)))
| member(event,notes(spy,mPair(X3,mPair(sK0(X0,X1,X3),key(X1)))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| member(agent,X2,bad)
| member(agent,X4,bad)
| ~ member(event,says(server,X4,crypt(aa(agent,nat,shrK,X4),mPair(X3,mPair(agent1(X2),mPair(key(X1),crypt(aa(agent,nat,shrK,X2),mPair(key(X1),agent1(X4)))))))),set(event,X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X0,X1,X3))],[f120]) ).
tff(f213,plain,
! [X2: agent,X3: msg,X0: list(event),X1: nat,X4: agent] :
( ~ member(event,says(server,X4,crypt(aa(agent,nat,shrK,X4),mPair(X3,mPair(agent1(X2),mPair(key(X1),crypt(aa(agent,nat,shrK,X2),mPair(key(X1),agent1(X4)))))))),set(event,X0))
| member(event,notes(spy,mPair(X3,mPair(sK0(X0,X1,X3),key(X1)))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| member(agent,X2,bad)
| member(agent,X4,bad)
| ~ member(msg,key(X1),analz(knows(spy,X0))) ),
inference(cnf_transformation,[],[f175]) ).
tff(f330,plain,
! [X2: nat,X3: agent,X0: list(event),X1: msg,X6: agent,X4: msg,X5: nat] :
( ~ member(event,says(server,X6,crypt(X5,mPair(X4,mPair(agent1(X3),mPair(key(X2),X1))))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| ( aa(agent,nat,shrK,X6) = X5 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f331,plain,
! [X2: nat,X3: agent,X0: list(event),X1: msg,X6: agent,X4: msg,X5: nat] :
( ~ member(event,says(server,X6,crypt(X5,mPair(X4,mPair(agent1(X3),mPair(key(X2),X1))))),set(event,X0))
| ~ member(list(event),X0,nS_Sha254967238shared)
| ( crypt(aa(agent,nat,shrK,X3),mPair(key(X2),agent1(X6))) = X1 ) ),
inference(cnf_transformation,[],[f165]) ).
tff(f345,plain,
member(event,says(server,a,crypt(k1,mPair(na,mPair(agent1(b),mPair(key(k),x))))),set(event,evs)),
inference(cnf_transformation,[],[f103]) ).
tff(f346,plain,
! [X0: msg] : ~ member(event,notes(spy,mPair(na,mPair(X0,key(k)))),set(event,evs)),
inference(cnf_transformation,[],[f104]) ).
tff(f347,plain,
~ member(agent,a,bad),
inference(cnf_transformation,[],[f105]) ).
tff(f348,plain,
~ member(agent,b,bad),
inference(cnf_transformation,[],[f106]) ).
tff(f349,plain,
member(list(event),evs,nS_Sha254967238shared),
inference(cnf_transformation,[],[f107]) ).
tff(f350,plain,
member(msg,key(k),analz(knows(spy,evs))),
inference(cnf_transformation,[],[f111]) ).
tff(f595,plain,
( ~ member(list(event),evs,nS_Sha254967238shared)
| ( k1 = aa(agent,nat,shrK,a) ) ),
inference(resolution,[],[f330,f345]) ).
tff(f596,plain,
k1 = aa(agent,nat,shrK,a),
inference(forward_subsumption_resolution,[],[f595,f349]) ).
tff(f605,plain,
( ~ member(list(event),evs,nS_Sha254967238shared)
| ( x = crypt(aa(agent,nat,shrK,b),mPair(key(k),agent1(a))) ) ),
inference(resolution,[],[f331,f345]) ).
tff(f606,plain,
x = crypt(aa(agent,nat,shrK,b),mPair(key(k),agent1(a))),
inference(forward_subsumption_resolution,[],[f605,f349]) ).
tff(f1675,plain,
! [X0: msg,X1: list(event)] :
( ~ member(event,says(server,a,crypt(aa(agent,nat,shrK,a),mPair(X0,mPair(agent1(b),mPair(key(k),x))))),set(event,X1))
| member(event,notes(spy,mPair(X0,mPair(sK0(X1,k,X0),key(k)))),set(event,X1))
| ~ member(list(event),X1,nS_Sha254967238shared)
| member(agent,b,bad)
| member(agent,a,bad)
| ~ member(msg,key(k),analz(knows(spy,X1))) ),
inference(superposition,[],[f213,f606]) ).
tff(f1687,plain,
! [X0: msg,X1: list(event)] :
( ~ member(event,says(server,a,crypt(aa(agent,nat,shrK,a),mPair(X0,mPair(agent1(b),mPair(key(k),x))))),set(event,X1))
| member(event,notes(spy,mPair(X0,mPair(sK0(X1,k,X0),key(k)))),set(event,X1))
| ~ member(list(event),X1,nS_Sha254967238shared)
| member(agent,a,bad)
| ~ member(msg,key(k),analz(knows(spy,X1))) ),
inference(forward_subsumption_resolution,[],[f1675,f348]) ).
tff(f1688,plain,
! [X0: msg,X1: list(event)] :
( ~ member(event,says(server,a,crypt(aa(agent,nat,shrK,a),mPair(X0,mPair(agent1(b),mPair(key(k),x))))),set(event,X1))
| member(event,notes(spy,mPair(X0,mPair(sK0(X1,k,X0),key(k)))),set(event,X1))
| ~ member(list(event),X1,nS_Sha254967238shared)
| ~ member(msg,key(k),analz(knows(spy,X1))) ),
inference(forward_subsumption_resolution,[],[f1687,f347]) ).
tff(f1689,plain,
! [X0: msg,X1: list(event)] :
( ~ member(event,says(server,a,crypt(k1,mPair(X0,mPair(agent1(b),mPair(key(k),x))))),set(event,X1))
| member(event,notes(spy,mPair(X0,mPair(sK0(X1,k,X0),key(k)))),set(event,X1))
| ~ member(list(event),X1,nS_Sha254967238shared)
| ~ member(msg,key(k),analz(knows(spy,X1))) ),
inference(forward_demodulation,[],[f1688,f596]) ).
tff(f2194,plain,
( member(event,notes(spy,mPair(na,mPair(sK0(evs,k,na),key(k)))),set(event,evs))
| ~ member(list(event),evs,nS_Sha254967238shared)
| ~ member(msg,key(k),analz(knows(spy,evs))) ),
inference(resolution,[],[f1689,f345]) ).
tff(f2195,plain,
( ~ member(list(event),evs,nS_Sha254967238shared)
| ~ member(msg,key(k),analz(knows(spy,evs))) ),
inference(forward_subsumption_resolution,[],[f2194,f346]) ).
tff(f2196,plain,
~ member(msg,key(k),analz(knows(spy,evs))),
inference(forward_subsumption_resolution,[],[f2195,f349]) ).
tff(f2197,plain,
$false,
inference(forward_subsumption_resolution,[],[f2196,f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV751_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n009.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:26:30 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.19/0.72 % (2998095)Detected formulas, will run a generic FOF schedule.
% 2.19/0.72 % (2998105)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1036270598:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.19/0.72 % (2998100)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=1982496257:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.19/0.72 % (2998101)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=270799074:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.19/0.72 % (2998103)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1690857306:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.19/0.72 % (2998104)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2660477231:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.19/0.72 % (2998102)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=1471728786:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.19/0.72 % (2998106)dis-21_1_sil=8000:lcm=predicate:random_seed=125159595: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)
% 2.19/0.72 % (2998103)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.19/0.72 % (2998102)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.19/0.72 % (2998103)Refutation not found, incomplete strategy
% 2.19/0.72 % (2998103)------------------------------
% 2.19/0.72 % (2998103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/0.72 % (2998103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.72 % (2998103)CaDiCaL version: 2.1.3
% 2.19/0.72 % (2998103)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.72 % (2998103)Time elapsed: 0.005 s
% 2.19/0.72 % (2998103)Peak memory usage: 88 MB
% 2.19/0.72 % (2998103)Instructions burned: 7 (million)
% 2.19/0.72 % (2998105)First to succeed.
% 2.19/0.72 % (2998105)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2998095"
% 2.19/0.72 % (2998104)Refutation not found, incomplete strategy
% 2.19/0.72 % (2998104)------------------------------
% 2.19/0.72 % (2998104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/0.72 % (2998104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.72 % (2998104)CaDiCaL version: 2.1.3
% 2.19/0.72 % (2998104)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.72 % (2998104)Time elapsed: 0.022 s
% 2.19/0.72 % (2998104)Peak memory usage: 88 MB
% 2.19/0.72 % (2998104)Instructions burned: 35 (million)
% 2.19/0.72 % (2998106)Instruction limit reached!
% 2.19/0.72 % (2998106)------------------------------
% 2.19/0.72 % (2998106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/0.72 % (2998106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.72 % (2998106)CaDiCaL version: 2.1.3
% 2.19/0.72 % (2998106)Termination reason: Instruction limit
% 2.19/0.72 % (2998106)Termination phase: Saturation
% 2.19/0.72 % (2998106)Time elapsed: 0.068 s
% 2.19/0.72 % (2998106)Peak memory usage: 89 MB
% 2.19/0.72 % (2998106)Instructions burned: 130 (million)
% 2.19/0.72 % (2998105)Refutation found. Thanks to Tanya!
% 2.19/0.72 % SZS status Theorem for theBenchmark
% 2.19/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/0.92 % (2998105)------------------------------
% 2.62/0.92 % (2998105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/0.92 % (2998105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.92 % (2998105)CaDiCaL version: 2.1.3
% 2.62/0.92 % (2998105)Termination reason: Refutation
% 2.62/0.92 % (2998105)Time elapsed: 0.038 s
% 2.62/0.92 % (2998105)Peak memory usage: 90 MB
% 2.62/0.92 % (2998105)Instructions burned: 126 (million)
% 2.62/0.92 % (2998105)------------------------------
% 2.62/0.92 % (2998105)------------------------------
% 2.62/0.92 % (2998095)Success in time 0.313 s
% 2.62/0.92 % Vampire exiting
%------------------------------------------------------------------------------