TSTP Solution File: NUM610+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM610+1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 08:13:27 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  15 unt;   0 def)
%            Number of atoms       :  108 (   3 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  124 (  54   ~;  46   |;  19   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   37 (  33   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1157,plain,
    $false,
    inference(subsumption_resolution,[],[f1156,f696]) ).

fof(f696,plain,
    ~ aElementOf0(sK10(xO,xP),xO),
    inference(subsumption_resolution,[],[f695,f348]) ).

fof(f348,plain,
    aSet0(xO),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,axiom,
    ( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aSet0(xO) ),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',m__4891) ).

fof(f695,plain,
    ( ~ aElementOf0(sK10(xO,xP),xO)
    | ~ aSet0(xO) ),
    inference(subsumption_resolution,[],[f690,f362]) ).

fof(f362,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,axiom,
    ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
    & aSet0(xP) ),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',m__5164) ).

fof(f690,plain,
    ( ~ aElementOf0(sK10(xO,xP),xO)
    | ~ aSet0(xP)
    | ~ aSet0(xO) ),
    inference(resolution,[],[f367,f378]) ).

fof(f378,plain,
    ! [X0,X1] :
      ( aSubsetOf0(X1,X0)
      | ~ aElementOf0(sK10(X0,X1),X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK10(X0,X1),X0)
              & aElementOf0(sK10(X0,X1),X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f247,f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK10(X0,X1),X0)
        & aElementOf0(sK10(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f247,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X3] :
                  ( aElementOf0(X3,X0)
                  | ~ aElementOf0(X3,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f246]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) )
          & ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',mDefSub) ).

fof(f367,plain,
    ~ aSubsetOf0(xP,xO),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ~ aSubsetOf0(xP,xO),
    inference(flattening,[],[f109]) ).

fof(f109,negated_conjecture,
    ~ aSubsetOf0(xP,xO),
    inference(negated_conjecture,[],[f108]) ).

fof(f108,conjecture,
    aSubsetOf0(xP,xO),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',m__) ).

fof(f1156,plain,
    aElementOf0(sK10(xO,xP),xO),
    inference(resolution,[],[f1125,f742]) ).

fof(f742,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xO) ),
    inference(subsumption_resolution,[],[f730,f348]) ).

fof(f730,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xO)
      | ~ aSet0(xO) ),
    inference(resolution,[],[f357,f376]) ).

fof(f376,plain,
    ! [X3,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f357,plain,
    aSubsetOf0(xQ,xO),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( slcrc0 != xQ
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',m__5093) ).

fof(f1125,plain,
    aElementOf0(sK10(xO,xP),xQ),
    inference(resolution,[],[f760,f694]) ).

fof(f694,plain,
    aElementOf0(sK10(xO,xP),xP),
    inference(subsumption_resolution,[],[f693,f348]) ).

fof(f693,plain,
    ( aElementOf0(sK10(xO,xP),xP)
    | ~ aSet0(xO) ),
    inference(subsumption_resolution,[],[f689,f362]) ).

fof(f689,plain,
    ( aElementOf0(sK10(xO,xP),xP)
    | ~ aSet0(xP)
    | ~ aSet0(xO) ),
    inference(resolution,[],[f367,f377]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( aSubsetOf0(X1,X0)
      | aElementOf0(sK10(X0,X1),X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f760,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xP)
      | aElementOf0(X0,xQ) ),
    inference(subsumption_resolution,[],[f749,f741]) ).

fof(f741,plain,
    aSet0(xQ),
    inference(subsumption_resolution,[],[f729,f348]) ).

fof(f729,plain,
    ( aSet0(xQ)
    | ~ aSet0(xO) ),
    inference(resolution,[],[f357,f375]) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f749,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xP)
      | aElementOf0(X0,xQ)
      | ~ aSet0(xQ) ),
    inference(resolution,[],[f366,f376]) ).

fof(f366,plain,
    aSubsetOf0(xP,xQ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,axiom,
    aSubsetOf0(xP,xQ),
    file('/export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225',m__5195) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM610+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:50:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.oqiMoS1ySv/Vampire---4.8_8225
% 0.52/0.73  % (8340)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)
% 0.52/0.73  % (8335)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.73  % (8336)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)
% 0.52/0.73  % (8334)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)
% 0.52/0.73  % (8338)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)
% 0.52/0.73  % (8337)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)
% 0.52/0.73  % (8339)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)
% 0.58/0.74  % (8340)First to succeed.
% 0.58/0.74  % (8340)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8332"
% 0.58/0.74  % (8340)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (8340)------------------------------
% 0.58/0.74  % (8340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (8340)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (8340)Memory used [KB]: 1481
% 0.58/0.74  % (8340)Time elapsed: 0.012 s
% 0.58/0.74  % (8340)Instructions burned: 33 (million)
% 0.58/0.74  % (8332)Success in time 0.385 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------