TSTP Solution File: NUM618+3 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM618+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:13:30 EDT 2024

% Result   : Theorem 0.13s 0.69s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   4 unt;   0 def)
%            Number of atoms       :   85 (  30 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   90 (  28   ~;  19   |;  39   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   28 (  19   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1329,plain,
    $false,
    inference(resolution,[],[f1328,f1066]) ).

fof(f1066,plain,
    aElementOf0(xx,xO),
    inference(resolution,[],[f854,f894]) ).

fof(f894,plain,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,axiom,
    ( aElementOf0(xx,xP)
    & szmzizndt0(xQ) != xx
    & aElementOf0(xx,xQ)
    & aElement0(xx) ),
    file('/export/starexec/sandbox2/tmp/tmp.I4BH4NotLn/Vampire---4.8_27396',m__5348) ).

fof(f854,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xO)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
    & xK = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xO)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/tmp/tmp.I4BH4NotLn/Vampire---4.8_27396',m__5078) ).

fof(f1328,plain,
    ~ aElementOf0(xx,xO),
    inference(equality_resolution,[],[f1327]) ).

fof(f1327,plain,
    ! [X0] :
      ( xx != X0
      | ~ aElementOf0(X0,xO) ),
    inference(duplicate_literal_removal,[],[f1326]) ).

fof(f1326,plain,
    ! [X0] :
      ( xx != X0
      | ~ aElementOf0(X0,xO)
      | ~ aElementOf0(X0,xO) ),
    inference(resolution,[],[f1325,f844]) ).

fof(f844,plain,
    ! [X0] :
      ( aElementOf0(sK54(X0),szNzAzT0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,sK54(X0)) = X0
        & aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & szDzizrdt0(xd) = sdtlpdtrp0(xd,sK54(X0))
        & aElementOf0(sK54(X0),szNzAzT0) )
      | ( ~ aElementOf0(X0,xO)
        & ! [X2] :
            ( sdtlpdtrp0(xe,X2) != X0
            | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f452,f453]) ).

fof(f453,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
          & aElementOf0(X1,szNzAzT0) )
     => ( sdtlpdtrp0(xe,sK54(X0)) = X0
        & aElementOf0(sK54(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & szDzizrdt0(xd) = sdtlpdtrp0(xd,sK54(X0))
        & aElementOf0(sK54(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f452,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
          & aElementOf0(X1,szNzAzT0) )
      | ( ~ aElementOf0(X0,xO)
        & ! [X2] :
            ( sdtlpdtrp0(xe,X2) != X0
            | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
    inference(rectify,[],[f265]) ).

fof(f265,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtlpdtrp0(xe,X2) = X0
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
          & aElementOf0(X2,szNzAzT0) )
      | ( ~ aElementOf0(X0,xO)
        & ! [X1] :
            ( sdtlpdtrp0(xe,X1) != X0
            | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ( aElementOf0(X0,xO)
        | ? [X1] :
            ( sdtlpdtrp0(xe,X1) = X0
            & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
     => ? [X2] :
          ( sdtlpdtrp0(xe,X2) = X0
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
          & aElementOf0(X2,szNzAzT0) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( ( aElementOf0(X0,xO)
        | ? [X1] :
            ( sdtlpdtrp0(xe,X1) = X0
            & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.I4BH4NotLn/Vampire---4.8_27396',m__4982) ).

fof(f1325,plain,
    ! [X0] :
      ( ~ aElementOf0(sK54(X0),szNzAzT0)
      | xx != X0
      | ~ aElementOf0(X0,xO) ),
    inference(superposition,[],[f900,f850]) ).

fof(f850,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK54(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f454]) ).

fof(f900,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xx
        & aElementOf0(X0,szNzAzT0) ),
    inference(negated_conjecture,[],[f115]) ).

fof(f115,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xx
      & aElementOf0(X0,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/tmp.I4BH4NotLn/Vampire---4.8_27396',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : NUM618+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Fri May  3 15:33:22 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.27  This is a FOF_THM_RFO_SEQ problem
% 0.08/0.28  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.I4BH4NotLn/Vampire---4.8_27396
% 0.13/0.67  % (27706)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.13/0.67  % (27710)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.13/0.67  % (27711)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.13/0.67  % (27712)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.13/0.67  % (27707)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.13/0.67  % (27708)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.13/0.67  % (27709)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.13/0.67  % (27705)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.13/0.68  % (27706)First to succeed.
% 0.13/0.68  % (27706)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27597"
% 0.13/0.69  % (27706)Refutation found. Thanks to Tanya!
% 0.13/0.69  % SZS status Theorem for Vampire---4
% 0.13/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.69  % (27706)------------------------------
% 0.13/0.69  % (27706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.69  % (27706)Termination reason: Refutation
% 0.13/0.69  
% 0.13/0.69  % (27706)Memory used [KB]: 1775
% 0.13/0.69  % (27706)Time elapsed: 0.014 s
% 0.13/0.69  % (27706)Instructions burned: 43 (million)
% 0.13/0.69  % (27597)Success in time 0.407 s
% 0.13/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------