TSTP Solution File: RNG122+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG122+1 : TPTP v8.2.0. 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 : n029.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 : Tue May 21 02:39:42 EDT 2024

% Result   : Theorem 0.94s 0.87s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   72 (  20 unt;   0 def)
%            Number of atoms       :  239 (  42 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  271 ( 104   ~;  88   |;  58   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-2 aty)
%            Number of variables   :   92 (  76   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4148,plain,
    $false,
    inference(avatar_sat_refutation,[],[f326,f4141]) ).

fof(f4141,plain,
    ~ spl25_7,
    inference(avatar_contradiction_clause,[],[f4140]) ).

fof(f4140,plain,
    ( $false
    | ~ spl25_7 ),
    inference(subsumption_resolution,[],[f4139,f170]) ).

fof(f170,plain,
    aElement0(xr),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | sz00 = xr )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

fof(f4139,plain,
    ( ~ aElement0(xr)
    | ~ spl25_7 ),
    inference(subsumption_resolution,[],[f4124,f257]) ).

fof(f257,plain,
    xr != sF24,
    inference(definition_folding,[],[f176,f256,f255,f254]) ).

fof(f254,plain,
    sdtasdt0(xq,xu) = sF22,
    introduced(function_definition,[new_symbols(definition,[sF22])]) ).

fof(f255,plain,
    smndt0(sF22) = sF23,
    introduced(function_definition,[new_symbols(definition,[sF23])]) ).

fof(f256,plain,
    sdtpldt0(sF23,xb) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f176,plain,
    xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
    inference(flattening,[],[f55]) ).

fof(f55,negated_conjecture,
    xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
    inference(negated_conjecture,[],[f54]) ).

fof(f54,conjecture,
    xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f4124,plain,
    ( xr = sF24
    | ~ aElement0(xr)
    | ~ spl25_7 ),
    inference(superposition,[],[f184,f4071]) ).

fof(f4071,plain,
    ( sF24 = sdtpldt0(sz00,xr)
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f4070,f256]) ).

fof(f4070,plain,
    ( sdtpldt0(sF23,xb) = sdtpldt0(sz00,xr)
    | ~ spl25_7 ),
    inference(forward_demodulation,[],[f4069,f255]) ).

fof(f4069,plain,
    ( sdtpldt0(sz00,xr) = sdtpldt0(smndt0(sF22),xb)
    | ~ spl25_7 ),
    inference(subsumption_resolution,[],[f4068,f296]) ).

fof(f296,plain,
    ( aElement0(sF22)
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl25_7
  <=> aElement0(sF22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).

fof(f4068,plain,
    ( sdtpldt0(sz00,xr) = sdtpldt0(smndt0(sF22),xb)
    | ~ aElement0(sF22) ),
    inference(subsumption_resolution,[],[f3972,f170]) ).

fof(f3972,plain,
    ( sdtpldt0(sz00,xr) = sdtpldt0(smndt0(sF22),xb)
    | ~ aElement0(xr)
    | ~ aElement0(sF22) ),
    inference(superposition,[],[f1214,f286]) ).

fof(f286,plain,
    xb = sdtpldt0(sF22,xr),
    inference(forward_demodulation,[],[f171,f254]) ).

fof(f171,plain,
    xb = sdtpldt0(sdtasdt0(xq,xu),xr),
    inference(cnf_transformation,[],[f50]) ).

fof(f1214,plain,
    ! [X0,X1] :
      ( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(subsumption_resolution,[],[f1205,f245]) ).

fof(f245,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aElement0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).

fof(f1205,plain,
    ! [X0,X1] :
      ( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(smndt0(X0)) ),
    inference(duplicate_literal_removal,[],[f1179]) ).

fof(f1179,plain,
    ! [X0,X1] :
      ( sdtpldt0(sz00,X1) = sdtpldt0(smndt0(X0),sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(superposition,[],[f235,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(smndt0(X0),X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f184,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(f326,plain,
    spl25_7,
    inference(avatar_split_clause,[],[f325,f295]) ).

fof(f325,plain,
    aElement0(sF22),
    inference(subsumption_resolution,[],[f324,f169]) ).

fof(f169,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f50]) ).

fof(f324,plain,
    ( aElement0(sF22)
    | ~ aElement0(xq) ),
    inference(subsumption_resolution,[],[f315,f311]) ).

fof(f311,plain,
    aElement0(xu),
    inference(subsumption_resolution,[],[f304,f291]) ).

fof(f291,plain,
    aSet0(xI),
    inference(resolution,[],[f194,f152]) ).

fof(f152,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(f194,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ( ( ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
              & aElement0(sK7(X0)) )
            | ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
              & aElementOf0(sK8(X0),X0) ) )
          & aElementOf0(sK6(X0),X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f117,f120,f119,f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ? [X2] :
                ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                & aElement0(X2) )
            | ? [X3] :
                ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                & aElementOf0(X3,X0) ) )
          & aElementOf0(X1,X0) )
     => ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
              & aElementOf0(X3,X0) ) )
        & aElementOf0(sK6(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ aElementOf0(sdtasdt0(X2,sK6(X0)),X0)
          & aElement0(X2) )
     => ( ~ aElementOf0(sdtasdt0(sK7(X0),sK6(X0)),X0)
        & aElement0(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ aElementOf0(sdtpldt0(sK6(X0),X3),X0)
          & aElementOf0(X3,X0) )
     => ( ~ aElementOf0(sdtpldt0(sK6(X0),sK8(X0)),X0)
        & aElementOf0(sK8(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f304,plain,
    ( aElement0(xu)
    | ~ aSet0(xI) ),
    inference(resolution,[],[f225,f160]) ).

fof(f160,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f62]) ).

fof(f62,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( sz00 != X0
          & aElementOf0(X0,xI) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f315,plain,
    ( aElement0(sF22)
    | ~ aElement0(xu)
    | ~ aElement0(xq) ),
    inference(superposition,[],[f179,f254]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : RNG122+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.10  % 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
% 0.09/0.30  % Computer : n029.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sat May 18 12:27:53 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a FOF_CAX_RFO_SEQ problem
% 0.09/0.31  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/benchmark/theBenchmark.p
% 0.60/0.77  % (27092)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.77  % (27091)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.77  % (27090)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.77  % (27089)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.77  % (27093)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.77  % (27088)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.77  % (27094)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.77  % (27095)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.78  % (27092)Refutation not found, incomplete strategy% (27092)------------------------------
% 0.60/0.78  % (27092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (27092)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (27092)Memory used [KB]: 1518
% 0.60/0.78  % (27092)Time elapsed: 0.011 s
% 0.60/0.78  % (27092)Instructions burned: 24 (million)
% 0.60/0.78  % (27092)------------------------------
% 0.60/0.78  % (27092)------------------------------
% 0.60/0.78  % (27096)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.78  % (27091)Instruction limit reached!
% 0.60/0.78  % (27091)------------------------------
% 0.60/0.78  % (27091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (27091)Termination reason: Unknown
% 0.60/0.78  % (27091)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (27091)Memory used [KB]: 1703
% 0.60/0.78  % (27091)Time elapsed: 0.016 s
% 0.60/0.78  % (27091)Instructions burned: 34 (million)
% 0.60/0.78  % (27091)------------------------------
% 0.60/0.78  % (27091)------------------------------
% 0.60/0.79  % (27088)Instruction limit reached!
% 0.60/0.79  % (27088)------------------------------
% 0.60/0.79  % (27088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (27088)Termination reason: Unknown
% 0.60/0.79  % (27088)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (27088)Memory used [KB]: 1344
% 0.60/0.79  % (27088)Time elapsed: 0.019 s
% 0.60/0.79  % (27088)Instructions burned: 34 (million)
% 0.60/0.79  % (27088)------------------------------
% 0.60/0.79  % (27088)------------------------------
% 0.60/0.79  % (27097)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.79  % (27098)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.79  % (27093)Instruction limit reached!
% 0.60/0.79  % (27093)------------------------------
% 0.60/0.79  % (27093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (27093)Termination reason: Unknown
% 0.60/0.79  % (27093)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (27093)Memory used [KB]: 1660
% 0.60/0.79  % (27093)Time elapsed: 0.026 s
% 0.60/0.79  % (27093)Instructions burned: 45 (million)
% 0.60/0.79  % (27093)------------------------------
% 0.60/0.79  % (27093)------------------------------
% 0.60/0.80  % (27099)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.80  % (27095)Instruction limit reached!
% 0.60/0.80  % (27095)------------------------------
% 0.60/0.80  % (27095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (27095)Termination reason: Unknown
% 0.60/0.80  % (27095)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27095)Memory used [KB]: 1976
% 0.60/0.80  % (27095)Time elapsed: 0.030 s
% 0.60/0.80  % (27095)Instructions burned: 56 (million)
% 0.60/0.80  % (27095)------------------------------
% 0.60/0.80  % (27095)------------------------------
% 0.60/0.80  % (27089)Instruction limit reached!
% 0.60/0.80  % (27089)------------------------------
% 0.60/0.80  % (27089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (27089)Termination reason: Unknown
% 0.60/0.80  % (27089)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27089)Memory used [KB]: 1867
% 0.60/0.80  % (27089)Time elapsed: 0.031 s
% 0.60/0.80  % (27089)Instructions burned: 52 (million)
% 0.60/0.80  % (27089)------------------------------
% 0.60/0.80  % (27089)------------------------------
% 0.60/0.80  % (27100)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.80  % (27101)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.80  % (27094)Instruction limit reached!
% 0.60/0.80  % (27094)------------------------------
% 0.60/0.80  % (27094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (27094)Termination reason: Unknown
% 0.60/0.80  % (27094)Termination phase: Saturation
% 0.60/0.80  
% 0.60/0.80  % (27094)Memory used [KB]: 2158
% 0.60/0.80  % (27094)Time elapsed: 0.037 s
% 0.60/0.80  % (27094)Instructions burned: 83 (million)
% 0.60/0.80  % (27094)------------------------------
% 0.60/0.80  % (27094)------------------------------
% 0.60/0.81  % (27096)Instruction limit reached!
% 0.60/0.81  % (27096)------------------------------
% 0.60/0.81  % (27096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (27096)Termination reason: Unknown
% 0.60/0.81  % (27096)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (27096)Memory used [KB]: 2652
% 0.60/0.81  % (27096)Time elapsed: 0.025 s
% 0.60/0.81  % (27096)Instructions burned: 57 (million)
% 0.60/0.81  % (27096)------------------------------
% 0.60/0.81  % (27096)------------------------------
% 0.60/0.81  % (27097)Instruction limit reached!
% 0.60/0.81  % (27097)------------------------------
% 0.60/0.81  % (27097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (27097)Termination reason: Unknown
% 0.60/0.81  % (27097)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (27097)Memory used [KB]: 1769
% 0.60/0.81  % (27097)Time elapsed: 0.022 s
% 0.60/0.81  % (27097)Instructions burned: 51 (million)
% 0.60/0.81  % (27097)------------------------------
% 0.60/0.81  % (27097)------------------------------
% 0.60/0.81  % (27102)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.81  % (27103)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.81  % (27104)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.60/0.81  % (27090)Instruction limit reached!
% 0.60/0.81  % (27090)------------------------------
% 0.60/0.81  % (27090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (27090)Termination reason: Unknown
% 0.60/0.81  % (27090)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (27090)Memory used [KB]: 1944
% 0.60/0.81  % (27090)Time elapsed: 0.043 s
% 0.60/0.81  % (27090)Instructions burned: 79 (million)
% 0.60/0.81  % (27090)------------------------------
% 0.60/0.81  % (27090)------------------------------
% 0.60/0.81  % (27105)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.60/0.82  % (27101)Instruction limit reached!
% 0.60/0.82  % (27101)------------------------------
% 0.60/0.82  % (27101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (27101)Termination reason: Unknown
% 0.60/0.82  % (27101)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (27101)Memory used [KB]: 1643
% 0.60/0.82  % (27101)Time elapsed: 0.023 s
% 0.60/0.82  % (27101)Instructions burned: 43 (million)
% 0.60/0.82  % (27101)------------------------------
% 0.60/0.82  % (27101)------------------------------
% 0.89/0.82  % (27099)Instruction limit reached!
% 0.89/0.82  % (27099)------------------------------
% 0.89/0.82  % (27099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.82  % (27099)Termination reason: Unknown
% 0.89/0.82  % (27099)Termination phase: Saturation
% 0.89/0.82  
% 0.89/0.82  % (27099)Memory used [KB]: 1850
% 0.89/0.82  % (27099)Time elapsed: 0.030 s
% 0.89/0.82  % (27099)Instructions burned: 52 (million)
% 0.89/0.82  % (27099)------------------------------
% 0.89/0.82  % (27099)------------------------------
% 0.89/0.83  % (27106)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.89/0.83  % (27107)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.89/0.84  % (27107)Instruction limit reached!
% 0.89/0.84  % (27107)------------------------------
% 0.89/0.84  % (27107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.84  % (27107)Termination reason: Unknown
% 0.89/0.84  % (27107)Termination phase: Saturation
% 0.89/0.84  
% 0.89/0.84  % (27107)Memory used [KB]: 1563
% 0.89/0.84  % (27107)Time elapsed: 0.018 s
% 0.89/0.84  % (27107)Instructions burned: 32 (million)
% 0.89/0.84  % (27107)------------------------------
% 0.89/0.84  % (27107)------------------------------
% 0.89/0.85  % (27108)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.94/0.85  % (27103)Instruction limit reached!
% 0.94/0.85  % (27103)------------------------------
% 0.94/0.85  % (27103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.85  % (27103)Termination reason: Unknown
% 0.94/0.85  % (27103)Termination phase: Saturation
% 0.94/0.85  
% 0.94/0.85  % (27103)Memory used [KB]: 1751
% 0.94/0.85  % (27103)Time elapsed: 0.046 s
% 0.94/0.85  % (27103)Instructions burned: 117 (million)
% 0.94/0.85  % (27103)------------------------------
% 0.94/0.85  % (27103)------------------------------
% 0.94/0.85  % (27106)Instruction limit reached!
% 0.94/0.85  % (27106)------------------------------
% 0.94/0.85  % (27106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.85  % (27106)Termination reason: Unknown
% 0.94/0.85  % (27106)Termination phase: Saturation
% 0.94/0.85  
% 0.94/0.85  % (27106)Memory used [KB]: 2405
% 0.94/0.85  % (27106)Time elapsed: 0.030 s
% 0.94/0.85  % (27106)Instructions burned: 62 (million)
% 0.94/0.85  % (27106)------------------------------
% 0.94/0.85  % (27106)------------------------------
% 0.94/0.86  % (27109)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.94/0.86  % (27110)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.94/0.86  % (27105)Instruction limit reached!
% 0.94/0.86  % (27105)------------------------------
% 0.94/0.86  % (27105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.86  % (27105)Termination reason: Unknown
% 0.94/0.86  % (27105)Termination phase: Saturation
% 0.94/0.86  
% 0.94/0.86  % (27105)Memory used [KB]: 2171
% 0.94/0.86  % (27105)Time elapsed: 0.051 s
% 0.94/0.86  % (27105)Instructions burned: 93 (million)
% 0.94/0.86  % (27105)------------------------------
% 0.94/0.86  % (27105)------------------------------
% 0.94/0.87  % (27111)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.94/0.87  % (27104)Instruction limit reached!
% 0.94/0.87  % (27104)------------------------------
% 0.94/0.87  % (27104)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.87  % (27104)Termination reason: Unknown
% 0.94/0.87  % (27104)Termination phase: Saturation
% 0.94/0.87  
% 0.94/0.87  % (27104)Memory used [KB]: 2115
% 0.94/0.87  % (27104)Time elapsed: 0.061 s
% 0.94/0.87  % (27104)Instructions burned: 144 (million)
% 0.94/0.87  % (27104)------------------------------
% 0.94/0.87  % (27104)------------------------------
% 0.94/0.87  % (27098)First to succeed.
% 0.94/0.87  % (27098)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27087"
% 0.94/0.87  % (27112)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.94/0.87  % (27098)Refutation found. Thanks to Tanya!
% 0.94/0.87  % SZS status Theorem for theBenchmark
% 0.94/0.87  % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.87  % (27098)------------------------------
% 0.94/0.87  % (27098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.87  % (27098)Termination reason: Refutation
% 0.94/0.87  
% 0.94/0.87  % (27098)Memory used [KB]: 2311
% 0.94/0.87  % (27098)Time elapsed: 0.085 s
% 0.94/0.87  % (27098)Instructions burned: 160 (million)
% 0.94/0.87  % (27087)Success in time 0.555 s
% 0.94/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------