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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT112+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:02:24 PM UTC 2026

% Result   : Unsatisfiable 2.73s 1.05s
% Output   : Refutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   48 (  26 unt;   4 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  130 (  67   ~;  52   |;   6   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   38 (   0 sgn  37   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( proh(X0)
        & aee(X0,X1)
        & aer(X0,X2)
        & act(X0,X3)
        & tgt(X0,X4) )
     => ~ ? [X5] :
            ( disability(X5)
            & bearer(X5,X2)
            & cnt(X5,X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_disability_block) ).

fof(f15,axiom,
    disability(db),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disability_db) ).

fof(f19,axiom,
    bearer(db,museen),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_db) ).

fof(f23,axiom,
    cnt(db,read,museum_api),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_db) ).

fof(f25,axiom,
    proh(f2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proh_f2) ).

fof(f26,axiom,
    aee(f2,bibliothek),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_f2) ).

fof(f27,axiom,
    aer(f2,museen),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_f2) ).

fof(f28,axiom,
    act(f2,read),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_f2) ).

fof(f29,axiom,
    tgt(f2,museum_api),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_f2) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5] :
          ( ~ disability(X5)
          | ~ bearer(X5,X2)
          | ~ cnt(X5,X3,X4) )
      | ~ proh(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5] :
          ( ~ disability(X5)
          | ~ bearer(X5,X2)
          | ~ cnt(X5,X3,X4) )
      | ~ proh(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ disability(X5)
      | ~ bearer(X5,X2)
      | ~ cnt(X5,X3,X4)
      | ~ proh(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f47,plain,
    disability(db),
    inference(cnf_transformation,[],[f15]) ).

fof(f51,plain,
    bearer(db,museen),
    inference(cnf_transformation,[],[f19]) ).

fof(f55,plain,
    cnt(db,read,museum_api),
    inference(cnf_transformation,[],[f23]) ).

fof(f56,plain,
    proh(f2),
    inference(cnf_transformation,[],[f25]) ).

fof(f57,plain,
    aee(f2,bibliothek),
    inference(cnf_transformation,[],[f26]) ).

fof(f58,plain,
    aer(f2,museen),
    inference(cnf_transformation,[],[f27]) ).

fof(f59,plain,
    act(f2,read),
    inference(cnf_transformation,[],[f28]) ).

fof(f60,plain,
    tgt(f2,museum_api),
    inference(cnf_transformation,[],[f29]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ tgt(X3,X2)
      | ~ cnt(db,X1,X2)
      | ~ proh(X3)
      | ~ aee(X3,X4)
      | ~ aer(X3,X0)
      | ~ act(X3,X1)
      | ~ bearer(db,X0) ),
    inference(resolution,[],[f46,f47]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ~ cnt(db,X0,museum_api)
      | ~ proh(f2)
      | ~ aee(f2,X1)
      | ~ aer(f2,X2)
      | ~ act(f2,X0)
      | ~ bearer(db,X2) ),
    inference(resolution,[],[f61,f60]) ).

fof(f64,definition,
    ( spl0_1
  <=> ! [X2] :
        ( ~ aer(f2,X2)
        | ~ bearer(db,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f65,plain,
    ( ! [X2] :
        ( ~ aer(f2,X2)
        | ~ bearer(db,X2) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f67,definition,
    ( spl0_2
  <=> ! [X1] : ~ aee(f2,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f68,plain,
    ( ! [X1] : ~ aee(f2,X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f70,definition,
    ( spl0_3
  <=> proh(f2) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f71,plain,
    ( ~ proh(f2)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f73,definition,
    ( spl0_4
  <=> ! [X0] :
        ( ~ cnt(db,X0,museum_api)
        | ~ act(f2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f74,plain,
    ( ! [X0] :
        ( ~ act(f2,X0)
        | ~ cnt(db,X0,museum_api) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f75,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f62,f73,f70,f67,f64]) ).

fof(f76,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f71,f56]) ).

fof(f77,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f76]) ).

fof(f78,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f68,f57]) ).

fof(f79,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f80,plain,
    ( ~ cnt(db,read,museum_api)
    | ~ spl0_4 ),
    inference(resolution,[],[f74,f59]) ).

fof(f81,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f80,f55]) ).

fof(f82,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f83,plain,
    ( ~ bearer(db,museen)
    | ~ spl0_1 ),
    inference(resolution,[],[f65,f58]) ).

fof(f84,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f83,f51]) ).

fof(f85,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f84]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s2,plain,
    spl0_3,
    inference(sat_conversion,[],[f77]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f79]) ).

cnf(s4,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f82]) ).

cnf(s5,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f85]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s4,s2,s3,s5]) ).

fof(f86,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT112+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n015.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 17:43:01 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 2.73/1.05  % (1892734)Detected formulas, will run a generic FOF schedule.
% 2.73/1.05  % (1892740)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=2428461477:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.05  % (1892744)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1381917103:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.05  % (1892739)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=3594768954:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.05  % (1892745)dis-21_1_sil=8000:lcm=predicate:random_seed=669195922: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)
% 2.73/1.05  % (1892741)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=68445046:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.05  % (1892742)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2587163735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.05  % (1892743)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2190888617:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.05  % (1892743)Refutation not found, incomplete strategy
% 2.73/1.05  % (1892743)------------------------------
% 2.73/1.05  % (1892743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05  % (1892743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05  % (1892743)CaDiCaL version: 2.1.3
% 2.73/1.05  % (1892742)Refutation not found, incomplete strategy
% 2.73/1.05  % (1892742)------------------------------
% 2.73/1.05  % (1892742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05  % (1892743)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05  % (1892743)Time elapsed: 0.0000 s
% 2.73/1.05  % (1892743)Peak memory usage: 86 MB
% 2.73/1.05  % (1892742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05  % (1892742)CaDiCaL version: 2.1.3
% 2.73/1.05  % (1892742)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.05  % (1892742)Time elapsed: 0.0000 s
% 2.73/1.05  % (1892742)Peak memory usage: 86 MB
% 2.73/1.05  % (1892744)Also succeeded, but the first one will report.
% 2.73/1.05  % (1892745)First to succeed.
% 2.73/1.05  % (1892745)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1892734"
% 2.73/1.05  % (1892745)Refutation found. Thanks to Tanya!
% 2.73/1.05  % SZS status Unsatisfiable for theBenchmark
% 2.73/1.05  % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.05  % (1892745)------------------------------
% 2.73/1.05  % (1892745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.05  % (1892745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.05  % (1892745)CaDiCaL version: 2.1.3
% 2.73/1.05  % (1892745)Termination reason: Refutation
% 2.73/1.05  % (1892745)Time elapsed: 0.002 s
% 2.73/1.05  % (1892745)Peak memory usage: 89 MB
% 2.73/1.05  % (1892745)Instructions burned: 1 (million)
% 2.73/1.05  % (1892745)------------------------------
% 2.73/1.05  % (1892745)------------------------------
% 2.73/1.05  % (1892734)Success in time 0.34 s
% 2.73/1.05  % Vampire exiting
%------------------------------------------------------------------------------