%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:02:15 PM UTC 2026
% Result : Theorem 2.67s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 18 unt; 0 def)
% Number of atoms : 241 ( 40 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 267 ( 105 ~; 95 |; 52 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 106 ( 98 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& has_immunity(X0,X2) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f13,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( greater(X0,X1)
| X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f14,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(ennf_transformation,[],[f11]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f22,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f26,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& has_endowment(sK0)
& zero = age(sK0,sK1)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),eta)
& greater_or_equal(eta,sigma)
& greater(sigma,zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f15]) ).
fof(f27,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f30,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f26]) ).
fof(f31,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f26]) ).
fof(f32,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f33,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f34,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f35,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f36,plain,
organization(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f37,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f38,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f44,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f45,plain,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f42]) ).
fof(f53,plain,
~ greater(zero,sigma),
inference(resolution,[],[f48,f30]) ).
fof(f69,plain,
! [X0] :
( ~ greater(zero,X0)
| ~ greater(X0,sigma) ),
inference(resolution,[],[f47,f53]) ).
fof(f80,plain,
! [X0] :
( smaller(zero,X0)
| zero = X0
| ~ greater(X0,sigma) ),
inference(resolution,[],[f49,f69]) ).
fof(f82,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f38,f32]) ).
fof(f89,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f82,f35]) ).
fof(f90,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f39,f33]) ).
fof(f91,plain,
! [X0,X1] :
( ~ smaller(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
inference(resolution,[],[f39,f43]) ).
fof(f92,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f39,f34]) ).
fof(f93,plain,
( has_immunity(sK0,sK1)
| ~ smaller_or_equal(zero,eta) ),
inference(forward_subsumption_resolution,[],[f92,f35]) ).
fof(f94,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f90,f35]) ).
fof(f108,plain,
! [X0] :
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,X0)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0))
| ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| ~ has_immunity(sK0,sK2) ),
inference(superposition,[],[f37,f45]) ).
fof(f119,plain,
! [X0] :
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,X0)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0))
| ~ has_immunity(sK0,X0)
| ~ has_immunity(sK0,sK2) ),
inference(forward_subsumption_resolution,[],[f108,f36]) ).
fof(f121,plain,
! [X0] :
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,X0)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0))
| ~ has_immunity(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f119,f94]) ).
fof(f129,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ has_immunity(sK0,sK1) ),
inference(equality_resolution,[],[f121]) ).
fof(f202,plain,
( ~ smaller(zero,eta)
| ~ has_endowment(sK0)
| has_immunity(sK0,sK1) ),
inference(superposition,[],[f91,f34]) ).
fof(f203,plain,
( has_immunity(sK0,sK1)
| ~ smaller(zero,eta) ),
inference(forward_subsumption_resolution,[],[f202,f35]) ).
fof(f259,plain,
( ~ has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3) ),
inference(resolution,[],[f129,f44]) ).
fof(f270,plain,
( ~ has_immunity(sK0,sK1)
| ~ organization(sK0)
| has_immunity(sK0,sK3) ),
inference(duplicate_literal_removal,[],[f259]) ).
fof(f273,plain,
( ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f270,f36]) ).
fof(f274,plain,
~ has_immunity(sK0,sK1),
inference(forward_subsumption_resolution,[],[f273,f89]) ).
fof(f275,plain,
~ smaller(zero,eta),
inference(resolution,[],[f274,f203]) ).
fof(f276,plain,
~ smaller_or_equal(zero,eta),
inference(resolution,[],[f274,f93]) ).
fof(f278,plain,
( ~ greater(eta,sigma)
| eta = zero ),
inference(resolution,[],[f275,f80]) ).
fof(f280,plain,
~ greater(eta,zero),
inference(resolution,[],[f275,f51]) ).
fof(f288,plain,
( eta = zero
| eta = sigma
| ~ greater_or_equal(eta,sigma) ),
inference(resolution,[],[f278,f46]) ).
fof(f290,plain,
( eta = sigma
| eta = zero ),
inference(forward_subsumption_resolution,[],[f288,f31]) ).
fof(f345,plain,
( ~ greater(sigma,zero)
| eta = zero ),
inference(superposition,[],[f280,f290]) ).
fof(f352,plain,
eta = zero,
inference(forward_subsumption_resolution,[],[f345,f30]) ).
fof(f375,plain,
~ smaller_or_equal(zero,zero),
inference(superposition,[],[f276,f352]) ).
fof(f379,plain,
$false,
inference(forward_subsumption_resolution,[],[f375,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:29:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.67/1.30 % (43218)Detected formulas, will run a generic FOF schedule.
% 2.67/1.30 % (43326)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=322348176:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.30 % (43330)dis-21_1_sil=8000:lcm=predicate:random_seed=3516893988: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)
% 2.67/1.30 % (43324)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=3084354583:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.30 % (43328)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1551514158:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.30 % (43325)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=2980466:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.30 % (43329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=218300254:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.30 % (43327)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1075047041:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.30 % (43327)Refutation not found, incomplete strategy
% 2.67/1.30 % (43327)------------------------------
% 2.67/1.30 % (43327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.30 % (43327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.30 % (43327)CaDiCaL version: 2.1.3
% 2.67/1.30 % (43327)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.30 % (43327)Time elapsed: 0.004 s
% 2.67/1.30 % (43327)Peak memory usage: 88 MB
% 2.67/1.30 % (43327)Instructions burned: 4 (million)
% 2.67/1.30 % (43328)First to succeed.
% 2.67/1.30 % (43328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-43218"
% 2.67/1.30 % (43329)Also succeeded, but the first one will report.
% 2.67/1.30 % (43330)Instruction limit reached!
% 2.67/1.30 % (43330)------------------------------
% 2.67/1.30 % (43330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.30 % (43330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.30 % (43330)CaDiCaL version: 2.1.3
% 2.67/1.30 % (43330)Termination reason: Instruction limit
% 2.67/1.30 % (43330)Termination phase: Saturation
% 2.67/1.30 % (43330)Time elapsed: 0.077 s
% 2.67/1.30 % (43330)Peak memory usage: 88 MB
% 2.67/1.30 % (43330)Instructions burned: 130 (million)
% 2.67/1.30 % (43327)------------------------------
% 2.67/1.30 % (43327)------------------------------
% 2.67/1.30 % (43328)Refutation found. Thanks to Tanya!
% 2.67/1.30 % SZS status Theorem for theBenchmark
% 2.67/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.41 % (43328)------------------------------
% 0.18/1.41 % (43328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.41 % (43328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.41 % (43328)CaDiCaL version: 2.1.3
% 0.18/1.41 % (43328)Termination reason: Refutation
% 0.18/1.41 % (43328)Time elapsed: 0.010 s
% 0.18/1.41 % (43328)Peak memory usage: 88 MB
% 0.18/1.41 % (43328)Instructions burned: 12 (million)
% 0.18/1.41 % (43328)------------------------------
% 0.18/1.41 % (43328)------------------------------
% 0.18/1.41 % (43218)Success in time 0.427 s
% 0.18/1.41 % Vampire exiting
%------------------------------------------------------------------------------