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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 12:02:16 PM UTC 2026

% Result   : Theorem 2.31s 1.22s
% Output   : Refutation 2.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  18 unt;   4 def)
%            Number of atoms       :  212 (  31 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  214 (  79   ~;  75   |;  45   &)
%                                         (   6 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn  68   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( smaller(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).

fof(f4,axiom,
    ! [X0,X1] :
      ~ ( greater(X0,X1)
        & greater(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( smaller(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(eta,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/sandbox2/benchmark/theBenchmark.p',theorem_6) ).

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(eta,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(X0,X1)
      | ~ greater(X1,X0) ),
    inference(ennf_transformation,[],[f4]) ).

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] :
      ( 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(f18,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,[],[f17]) ).

fof(f19,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(f20,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,[],[f19]) ).

fof(f21,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(eta,zero) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f22,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(eta,zero) ),
    inference(flattening,[],[f21]) ).

fof(f23,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(f24,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,[],[f23]) ).

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(eta,zero) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f22]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ greater(age(X0,X1),eta)
      | ~ has_endowment(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ has_endowment(X0)
      | ~ smaller_or_equal(age(X0,X1),eta)
      | has_immunity(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
      | ~ has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f40,plain,
    greater(eta,zero),
    inference(cnf_transformation,[],[f26]) ).

fof(f41,plain,
    greater(age(sK0,sK3),eta),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    smaller_or_equal(age(sK0,sK2),eta),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    zero = age(sK0,sK1),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    has_endowment(sK0),
    inference(cnf_transformation,[],[f26]) ).

fof(f45,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f26]) ).

fof(f46,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f49,definition,
    ( spl4_1
  <=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f51,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f53,definition,
    ( spl4_2
  <=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f55,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f56,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f46,f53,f49]) ).

fof(f58,plain,
    ~ greater(zero,eta),
    inference(resolution,[],[f32,f40]) ).

fof(f61,plain,
    ! [X0] : ~ greater(X0,X0),
    inference(factoring,[],[f32]) ).

fof(f73,definition,
    ( spl4_4
  <=> eta = zero ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f75,plain,
    ( eta = zero
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f78,plain,
    ( eta = zero
    | smaller(zero,eta) ),
    inference(resolution,[],[f34,f58]) ).

fof(f80,definition,
    ( spl4_5
  <=> smaller(zero,eta) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f82,plain,
    ( smaller(zero,eta)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f83,plain,
    ( spl4_5
    | spl4_4 ),
    inference(avatar_split_clause,[],[f78,f73,f80]) ).

fof(f87,plain,
    ( greater(eta,eta)
    | ~ spl4_4 ),
    inference(superposition,[],[f40,f75]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ smaller_or_equal(age(sK0,X0),eta)
      | has_immunity(sK0,X0) ),
    inference(resolution,[],[f36,f44]) ).

fof(f91,plain,
    ( smaller_or_equal(zero,eta)
    | ~ spl4_5 ),
    inference(resolution,[],[f82,f29]) ).

fof(f112,plain,
    has_immunity(sK0,sK2),
    inference(resolution,[],[f90,f42]) ).

fof(f113,plain,
    ( ~ smaller_or_equal(zero,eta)
    | has_immunity(sK0,sK1) ),
    inference(superposition,[],[f90,f43]) ).

fof(f114,plain,
    ( has_immunity(sK0,sK1)
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f113,f91]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ organization(sK0)
      | greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK2))
      | has_immunity(sK0,X0) ),
    inference(resolution,[],[f112,f39]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ organization(sK0)
      | hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0)
      | ~ has_immunity(sK0,X0) ),
    inference(resolution,[],[f112,f38]) ).

fof(f119,plain,
    ! [X0] :
      ( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0)
      | ~ has_immunity(sK0,X0) ),
    inference(forward_subsumption_resolution,[],[f116,f45]) ).

fof(f120,plain,
    ! [X0] :
      ( has_immunity(sK0,X0)
      | greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK2)) ),
    inference(forward_subsumption_resolution,[],[f115,f45]) ).

fof(f255,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK2)
    | ~ has_immunity(sK0,sK1)
    | spl4_1 ),
    inference(superposition,[],[f51,f119]) ).

fof(f256,plain,
    ( ~ has_immunity(sK0,sK1)
    | spl4_1 ),
    inference(trivial_inequality_removal,[],[f255]) ).

fof(f257,plain,
    ( $false
    | spl4_1
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f256,f114]) ).

fof(f258,plain,
    ( spl4_1
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f274,plain,
    ( $false
    | ~ spl4_4 ),
    inference(forward_subsumption_resolution,[],[f87,f61]) ).

fof(f275,plain,
    ~ spl4_4,
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f353,plain,
    ! [X0] :
      ( greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK2))
      | ~ greater(age(sK0,X0),eta)
      | ~ has_endowment(sK0) ),
    inference(resolution,[],[f120,f35]) ).

fof(f354,plain,
    ! [X0] :
      ( ~ greater(age(sK0,X0),eta)
      | greater(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,sK2)) ),
    inference(forward_subsumption_resolution,[],[f353,f44]) ).

fof(f767,plain,
    greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
    inference(resolution,[],[f354,f41]) ).

fof(f772,plain,
    ( $false
    | spl4_2 ),
    inference(forward_subsumption_resolution,[],[f767,f55]) ).

fof(f773,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f772]) ).

cnf(s1,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s3,plain,
    ( spl4_4
    | spl4_5 ),
    inference(sat_conversion,[],[f83]) ).

cnf(s11,plain,
    ( spl4_1
    | ~ spl4_5 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s13,plain,
    ~ spl4_4,
    inference(sat_conversion,[],[f275]) ).

cnf(s40,plain,
    spl4_2,
    inference(sat_conversion,[],[f773]) ).

cnf(s42,plain,
    spl4_5,
    inference(rat,[],[s3,s13]) ).

cnf(s45,plain,
    spl4_1,
    inference(rat,[],[s11,s42]) ).

cnf(s46,plain,
    $false,
    inference(rat,[],[s1,s40,s45]) ).

fof(f774,plain,
    $false,
    inference(avatar_sat_refutation,[],[s46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n005.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 17:29:32 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45  Running first-order theorem proving
% 0.11/0.45  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
% 2.31/1.22  % (43347)Detected formulas, will run a generic FOF schedule.
% 2.31/1.22  % (43365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3266126865:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.31/1.22  % (43365)First to succeed.
% 2.31/1.22  % (43365)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-43347"
% 2.31/1.22  % (43363)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2024710942:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.31/1.22  % (43366)dis-21_1_sil=8000:lcm=predicate:random_seed=4003989005: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)
% 2.31/1.22  % (43360)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=2781331590:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.31/1.22  % (43358)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=763194336:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.31/1.22  % (43359)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=4064667949:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.31/1.22  % (43361)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1293701492:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.31/1.22  % (43363)Also succeeded, but the first one will report.
% 2.31/1.22  % (43361)Refutation not found, incomplete strategy
% 2.31/1.22  % (43361)------------------------------
% 2.31/1.22  % (43361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.22  % (43361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.22  % (43361)CaDiCaL version: 2.1.3
% 2.31/1.22  % (43361)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.22  % (43361)Time elapsed: 0.003 s
% 2.31/1.22  % (43361)Peak memory usage: 88 MB
% 2.31/1.22  % (43361)Instructions burned: 3 (million)
% 2.31/1.22  % (43366)Instruction limit reached! 
% 2.31/1.22  % (43366)------------------------------
% 2.31/1.22  % (43366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.22  % (43366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.22  % (43366)CaDiCaL version: 2.1.3
% 2.31/1.22  % (43366)Termination reason: Instruction limit
% 2.31/1.22  % (43366)Termination phase: Saturation
% 2.31/1.22  % (43366)Time elapsed: 0.052 s
% 2.31/1.22  % (43366)Peak memory usage: 88 MB
% 2.31/1.22  % (43366)Instructions burned: 132 (million)
% 2.31/1.22  % (43365)Refutation found. Thanks to Tanya!
% 2.31/1.22  % SZS status Theorem for theBenchmark
% 2.31/1.22  % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.41  % (43365)------------------------------
% 2.72/1.41  % (43365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.41  % (43365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.41  % (43365)CaDiCaL version: 2.1.3
% 2.72/1.41  % (43365)Termination reason: Refutation
% 2.72/1.41  % (43365)Time elapsed: 0.013 s
% 2.72/1.41  % (43365)Peak memory usage: 90 MB
% 2.72/1.41  % (43365)Instructions burned: 28 (million)
% 2.72/1.41  % (43365)------------------------------
% 2.72/1.41  % (43365)------------------------------
% 2.72/1.41  % (43347)Success in time 0.278 s
% 2.72/1.41  % Vampire exiting
%------------------------------------------------------------------------------