TSTP Solution File: NUM607+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 Apr 30 14:35:04 EDT 2024

% Result   : Theorem 12.39s 2.18s
% Output   : Refutation 12.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   87 (  36 unt;   0 def)
%            Number of atoms       :  276 (  23 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  300 ( 111   ~; 107   |;  60   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :  141 ( 134   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f179890,plain,
    $false,
    inference(subsumption_resolution,[],[f179889,f113284]) ).

fof(f113284,plain,
    ~ sP30(xK,xQ,xS),
    inference(unit_resulting_resolution,[],[f430,f31495,f646]) ).

fof(f646,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP31(X0,X1,X2)
      | ~ sP30(X1,X4,X0)
      | aElementOf0(X4,X2) ),
    inference(cnf_transformation,[],[f409]) ).

fof(f409,plain,
    ! [X0,X1,X2] :
      ( ( sP31(X0,X1,X2)
        | ( ( ~ sP30(X1,sK62(X0,X1,X2),X0)
            | ~ aElementOf0(sK62(X0,X1,X2),X2) )
          & ( sP30(X1,sK62(X0,X1,X2),X0)
            | aElementOf0(sK62(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( aElementOf0(X4,X2)
              | ~ sP30(X1,X4,X0) )
            & ( sP30(X1,X4,X0)
              | ~ aElementOf0(X4,X2) ) )
        | ~ sP31(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f407,f408]) ).

fof(f408,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ sP30(X1,X3,X0)
            | ~ aElementOf0(X3,X2) )
          & ( sP30(X1,X3,X0)
            | aElementOf0(X3,X2) ) )
     => ( ( ~ sP30(X1,sK62(X0,X1,X2),X0)
          | ~ aElementOf0(sK62(X0,X1,X2),X2) )
        & ( sP30(X1,sK62(X0,X1,X2),X0)
          | aElementOf0(sK62(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f407,plain,
    ! [X0,X1,X2] :
      ( ( sP31(X0,X1,X2)
        | ? [X3] :
            ( ( ~ sP30(X1,X3,X0)
              | ~ aElementOf0(X3,X2) )
            & ( sP30(X1,X3,X0)
              | aElementOf0(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( aElementOf0(X4,X2)
              | ~ sP30(X1,X4,X0) )
            & ( sP30(X1,X4,X0)
              | ~ aElementOf0(X4,X2) ) )
        | ~ sP31(X0,X1,X2) ) ),
    inference(rectify,[],[f406]) ).

fof(f406,plain,
    ! [X0,X1,X2] :
      ( ( sP31(X0,X1,X2)
        | ? [X3] :
            ( ( ~ sP30(X1,X3,X0)
              | ~ aElementOf0(X3,X2) )
            & ( sP30(X1,X3,X0)
              | aElementOf0(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( aElementOf0(X3,X2)
              | ~ sP30(X1,X3,X0) )
            & ( sP30(X1,X3,X0)
              | ~ aElementOf0(X3,X2) ) )
        | ~ sP31(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1,X2] :
      ( sP31(X0,X1,X2)
    <=> ! [X3] :
          ( aElementOf0(X3,X2)
        <=> sP30(X1,X3,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f31495,plain,
    sP31(xS,xK,szDzozmdt0(xc)),
    inference(unit_resulting_resolution,[],[f31479,f643]) ).

fof(f643,plain,
    ! [X2,X0,X1] :
      ( ~ sP32(X0,X1,X2)
      | sP31(X2,X1,X0) ),
    inference(cnf_transformation,[],[f405]) ).

fof(f405,plain,
    ! [X0,X1,X2] :
      ( ( sP32(X0,X1,X2)
        | ~ sP31(X2,X1,X0)
        | ~ aSet0(X0) )
      & ( ( sP31(X2,X1,X0)
          & aSet0(X0) )
        | ~ sP32(X0,X1,X2) ) ),
    inference(rectify,[],[f404]) ).

fof(f404,plain,
    ! [X2,X1,X0] :
      ( ( sP32(X2,X1,X0)
        | ~ sP31(X0,X1,X2)
        | ~ aSet0(X2) )
      & ( ( sP31(X0,X1,X2)
          & aSet0(X2) )
        | ~ sP32(X2,X1,X0) ) ),
    inference(flattening,[],[f403]) ).

fof(f403,plain,
    ! [X2,X1,X0] :
      ( ( sP32(X2,X1,X0)
        | ~ sP31(X0,X1,X2)
        | ~ aSet0(X2) )
      & ( ( sP31(X0,X1,X2)
          & aSet0(X2) )
        | ~ sP32(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X2,X1,X0] :
      ( sP32(X2,X1,X0)
    <=> ( sP31(X0,X1,X2)
        & aSet0(X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f31479,plain,
    sP32(szDzozmdt0(xc),xK,xS),
    inference(forward_demodulation,[],[f31105,f448]) ).

fof(f448,plain,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    ( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aFunction0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).

fof(f31105,plain,
    sP32(slbdtsldtrb0(xS,xK),xK,xS),
    inference(unit_resulting_resolution,[],[f8415,f699]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( ~ sP33(X0,X1)
      | sP32(slbdtsldtrb0(X0,X1),X1,X0) ),
    inference(equality_resolution,[],[f640]) ).

fof(f640,plain,
    ! [X2,X0,X1] :
      ( sP32(X2,X1,X0)
      | slbdtsldtrb0(X0,X1) != X2
      | ~ sP33(X0,X1) ),
    inference(cnf_transformation,[],[f402]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( slbdtsldtrb0(X0,X1) = X2
            | ~ sP32(X2,X1,X0) )
          & ( sP32(X2,X1,X0)
            | slbdtsldtrb0(X0,X1) != X2 ) )
      | ~ sP33(X0,X1) ),
    inference(nnf_transformation,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> sP32(X2,X1,X0) )
      | ~ sP33(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f8415,plain,
    sP33(xS,xK),
    inference(unit_resulting_resolution,[],[f4594,f435,f652]) ).

fof(f652,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | sP33(X0,X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( sP33(X0,X1)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(definition_folding,[],[f212,f282,f281,f280,f279]) ).

fof(f279,plain,
    ! [X1,X3,X0] :
      ( sP30(X1,X3,X0)
    <=> ( sbrdtbr0(X3) = X1
        & aSubsetOf0(X3,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) )
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aSet0(X0) )
     => ! [X2] :
          ( slbdtsldtrb0(X0,X1) = X2
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( sbrdtbr0(X3) = X1
                  & aSubsetOf0(X3,X0) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

fof(f435,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

fof(f4594,plain,
    aSet0(xS),
    inference(unit_resulting_resolution,[],[f4567,f516]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( ~ sP4(X0,X1)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | ( ~ aElementOf0(sK46(X0,X1),X0)
          & aElementOf0(sK46(X0,X1),X1) )
        | ~ aSet0(X1) )
      & ( ( ! [X3] :
              ( aElementOf0(X3,X0)
              | ~ aElementOf0(X3,X1) )
          & aSet0(X1) )
        | ~ sP4(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f315,f316]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK46(X0,X1),X0)
        & aElementOf0(sK46(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | ? [X2] :
            ( ~ aElementOf0(X2,X0)
            & aElementOf0(X2,X1) )
        | ~ aSet0(X1) )
      & ( ( ! [X3] :
              ( aElementOf0(X3,X0)
              | ~ aElementOf0(X3,X1) )
          & aSet0(X1) )
        | ~ sP4(X0,X1) ) ),
    inference(rectify,[],[f314]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | ? [X2] :
            ( ~ aElementOf0(X2,X0)
            & aElementOf0(X2,X1) )
        | ~ aSet0(X1) )
      & ( ( ! [X2] :
              ( aElementOf0(X2,X0)
              | ~ aElementOf0(X2,X1) )
          & aSet0(X1) )
        | ~ sP4(X0,X1) ) ),
    inference(flattening,[],[f313]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ( sP4(X0,X1)
        | ? [X2] :
            ( ~ aElementOf0(X2,X0)
            & aElementOf0(X2,X1) )
        | ~ aSet0(X1) )
      & ( ( ! [X2] :
              ( aElementOf0(X2,X0)
              | ~ aElementOf0(X2,X1) )
          & aSet0(X1) )
        | ~ sP4(X0,X1) ) ),
    inference(nnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( sP4(X0,X1)
    <=> ( ! [X2] :
            ( aElementOf0(X2,X0)
            | ~ aElementOf0(X2,X1) )
        & aSet0(X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f4567,plain,
    sP4(szNzAzT0,xS),
    inference(unit_resulting_resolution,[],[f706,f466,f514]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | sP4(X0,X1)
      | ~ sP5(X0) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f312,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ~ sP4(X0,X1) )
          & ( sP4(X0,X1)
            | ~ aSubsetOf0(X1,X0) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> sP4(X0,X1) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f466,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(f706,plain,
    sP5(szNzAzT0),
    inference(unit_resulting_resolution,[],[f498,f520]) ).

fof(f520,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sP5(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aSet0(X0) ),
    inference(definition_folding,[],[f154,f244,f243]) ).

fof(f154,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/benchmark/theBenchmark.p',mDefSub) ).

fof(f498,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(f430,plain,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    inference(flattening,[],[f103]) ).

fof(f103,negated_conjecture,
    ~ aElementOf0(xQ,szDzozmdt0(xc)),
    inference(negated_conjecture,[],[f102]) ).

fof(f102,conjecture,
    aElementOf0(xQ,szDzozmdt0(xc)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f179889,plain,
    sP30(xK,xQ,xS),
    inference(forward_demodulation,[],[f179882,f111874]) ).

fof(f111874,plain,
    xK = sbrdtbr0(xQ),
    inference(unit_resulting_resolution,[],[f111862,f650]) ).

fof(f650,plain,
    ! [X2,X0,X1] :
      ( ~ sP30(X0,X1,X2)
      | sbrdtbr0(X1) = X0 ),
    inference(cnf_transformation,[],[f412]) ).

fof(f412,plain,
    ! [X0,X1,X2] :
      ( ( sP30(X0,X1,X2)
        | sbrdtbr0(X1) != X0
        | ~ aSubsetOf0(X1,X2) )
      & ( ( sbrdtbr0(X1) = X0
          & aSubsetOf0(X1,X2) )
        | ~ sP30(X0,X1,X2) ) ),
    inference(rectify,[],[f411]) ).

fof(f411,plain,
    ! [X1,X3,X0] :
      ( ( sP30(X1,X3,X0)
        | sbrdtbr0(X3) != X1
        | ~ aSubsetOf0(X3,X0) )
      & ( ( sbrdtbr0(X3) = X1
          & aSubsetOf0(X3,X0) )
        | ~ sP30(X1,X3,X0) ) ),
    inference(flattening,[],[f410]) ).

fof(f410,plain,
    ! [X1,X3,X0] :
      ( ( sP30(X1,X3,X0)
        | sbrdtbr0(X3) != X1
        | ~ aSubsetOf0(X3,X0) )
      & ( ( sbrdtbr0(X3) = X1
          & aSubsetOf0(X3,X0) )
        | ~ sP30(X1,X3,X0) ) ),
    inference(nnf_transformation,[],[f279]) ).

fof(f111862,plain,
    sP30(xK,xQ,xO),
    inference(unit_resulting_resolution,[],[f436,f35019,f645]) ).

fof(f645,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP31(X0,X1,X2)
      | ~ aElementOf0(X4,X2)
      | sP30(X1,X4,X0) ),
    inference(cnf_transformation,[],[f409]) ).

fof(f35019,plain,
    sP31(xO,xK,slbdtsldtrb0(xO,xK)),
    inference(unit_resulting_resolution,[],[f31106,f643]) ).

fof(f31106,plain,
    sP32(slbdtsldtrb0(xO,xK),xK,xO),
    inference(unit_resulting_resolution,[],[f8416,f699]) ).

fof(f8416,plain,
    sP33(xO,xK),
    inference(unit_resulting_resolution,[],[f438,f435,f652]) ).

fof(f438,plain,
    aSet0(xO),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,axiom,
    ( isCountable0(xO)
    & aSet0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).

fof(f436,plain,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,axiom,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

fof(f179882,plain,
    sP30(sbrdtbr0(xQ),xQ,xS),
    inference(unit_resulting_resolution,[],[f179235,f700]) ).

fof(f700,plain,
    ! [X2,X1] :
      ( ~ aSubsetOf0(X1,X2)
      | sP30(sbrdtbr0(X1),X1,X2) ),
    inference(equality_resolution,[],[f651]) ).

fof(f651,plain,
    ! [X2,X0,X1] :
      ( sP30(X0,X1,X2)
      | sbrdtbr0(X1) != X0
      | ~ aSubsetOf0(X1,X2) ),
    inference(cnf_transformation,[],[f412]) ).

fof(f179235,plain,
    aSubsetOf0(xQ,xS),
    inference(unit_resulting_resolution,[],[f4748,f438,f4594,f464,f434,f681]) ).

fof(f681,plain,
    ! [X2,X0,X1] :
      ( ~ aSubsetOf0(X1,X2)
      | aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( aSubsetOf0(X0,X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aSubsetOf0(X0,X1)
      | ~ aSet0(X2)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aSet0(X2)
        & aSet0(X1)
        & aSet0(X0) )
     => ( ( aSubsetOf0(X1,X2)
          & aSubsetOf0(X0,X1) )
       => aSubsetOf0(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).

fof(f434,plain,
    aSubsetOf0(xO,xS),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,axiom,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

fof(f464,plain,
    aSubsetOf0(xQ,xO),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( slcrc0 != xQ
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

fof(f4748,plain,
    aSet0(xQ),
    inference(unit_resulting_resolution,[],[f4569,f516]) ).

fof(f4569,plain,
    sP4(szNzAzT0,xQ),
    inference(unit_resulting_resolution,[],[f706,f433,f514]) ).

fof(f433,plain,
    aSubsetOf0(xQ,szNzAzT0),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,axiom,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM607+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 23:30:47 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (20105)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (20108)WARNING: value z3 for option sas not known
% 0.14/0.38  % (20109)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (20107)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (20106)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (20110)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (20108)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (20111)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (20112)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.14/0.41  TRYING [2]
% 0.20/0.42  TRYING [3]
% 0.20/0.43  TRYING [3]
% 0.20/0.50  TRYING [4]
% 0.20/0.51  TRYING [4]
% 1.67/0.62  TRYING [5]
% 2.07/0.68  TRYING [5]
% 3.77/0.92  TRYING [6]
% 5.17/1.09  TRYING [6]
% 7.90/1.49  TRYING [1]
% 7.90/1.49  TRYING [2]
% 8.09/1.50  TRYING [3]
% 8.09/1.52  TRYING [7]
% 8.29/1.55  TRYING [4]
% 9.56/1.71  TRYING [5]
% 11.57/2.02  TRYING [7]
% 12.33/2.10  TRYING [6]
% 12.39/2.17  % (20112)First to succeed.
% 12.39/2.18  % (20112)Refutation found. Thanks to Tanya!
% 12.39/2.18  % SZS status Theorem for theBenchmark
% 12.39/2.18  % SZS output start Proof for theBenchmark
% See solution above
% 12.39/2.18  % (20112)------------------------------
% 12.39/2.18  % (20112)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 12.39/2.18  % (20112)Termination reason: Refutation
% 12.39/2.18  
% 12.39/2.18  % (20112)Memory used [KB]: 67738
% 12.39/2.18  % (20112)Time elapsed: 1.797 s
% 12.39/2.18  % (20112)Instructions burned: 5978 (million)
% 12.39/2.18  % (20112)------------------------------
% 12.39/2.18  % (20112)------------------------------
% 12.39/2.18  % (20105)Success in time 1.823 s
%------------------------------------------------------------------------------