TSTP Solution File: NUM574+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.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 : Wed Aug 31 18:00:42 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   89 (  15 unt;   0 def)
%            Number of atoms       :  267 (  49 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  302 ( 124   ~; 116   |;  41   &)
%                                         (   8 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   57 (  48   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1581,plain,
    $false,
    inference(avatar_sat_refutation,[],[f555,f557,f619,f1323,f1362,f1528,f1580]) ).

fof(f1580,plain,
    ~ spl27_4,
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1579,plain,
    ( $false
    | ~ spl27_4 ),
    inference(subsumption_resolution,[],[f1574,f527]) ).

fof(f527,plain,
    ~ aSubsetOf0(sF25,sF26),
    inference(definition_folding,[],[f383,f526,f525]) ).

fof(f525,plain,
    sdtlpdtrp0(xN,xi) = sF25,
    introduced(function_definition,[]) ).

fof(f526,plain,
    sdtlpdtrp0(xN,xj) = sF26,
    introduced(function_definition,[]) ).

fof(f383,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    & sdtlseqdt0(xj,xi) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,negated_conjecture,
    ~ ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    inference(negated_conjecture,[],[f86]) ).

fof(f86,conjecture,
    ( sdtlseqdt0(xj,xi)
   => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1574,plain,
    ( aSubsetOf0(sF25,sF26)
    | ~ spl27_4 ),
    inference(backward_demodulation,[],[f1534,f526]) ).

fof(f1534,plain,
    ( aSubsetOf0(sF25,sdtlpdtrp0(xN,xj))
    | ~ spl27_4 ),
    inference(forward_demodulation,[],[f547,f525]) ).

fof(f547,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ spl27_4 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f545,plain,
    ( spl27_4
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).

fof(f1528,plain,
    ( ~ spl27_6
    | spl27_25 ),
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | ~ spl27_6
    | spl27_25 ),
    inference(subsumption_resolution,[],[f1520,f969]) ).

fof(f969,plain,
    ( sz00 != xi
    | spl27_25 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl27_25
  <=> sz00 = xi ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).

fof(f1520,plain,
    ( sz00 = xi
    | ~ spl27_6 ),
    inference(trivial_inequality_removal,[],[f1514]) ).

fof(f1514,plain,
    ( xi != xi
    | sz00 = xi
    | ~ spl27_6 ),
    inference(resolution,[],[f1452,f357]) ).

fof(f357,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,axiom,
    ( aElementOf0(xj,szNzAzT0)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).

fof(f1452,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | xi != X0
        | sz00 = X0 )
    | ~ spl27_6 ),
    inference(subsumption_resolution,[],[f1451,f485]) ).

fof(f485,plain,
    ! [X0] :
      ( aElementOf0(sK24(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,plain,
    ! [X0] :
      ( sz00 = X0
      | ( szszuzczcdt0(sK24(X0)) = X0
        & aElementOf0(sK24(X0),szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f128,f314]) ).

fof(f314,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
     => ( szszuzczcdt0(sK24(X0)) = X0
        & aElementOf0(sK24(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ! [X0] :
      ( sz00 = X0
      | ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ? [X1] :
            ( szszuzczcdt0(X1) = X0
            & aElementOf0(X1,szNzAzT0) )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).

fof(f1451,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | xi != X0
        | sz00 = X0
        | ~ aElementOf0(sK24(X0),szNzAzT0) )
    | ~ spl27_6 ),
    inference(superposition,[],[f554,f486]) ).

fof(f486,plain,
    ! [X0] :
      ( szszuzczcdt0(sK24(X0)) = X0
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f554,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | ~ spl27_6 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f553,plain,
    ( spl27_6
  <=> ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | szszuzczcdt0(X0) != xi ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).

fof(f1362,plain,
    ( ~ spl27_7
    | ~ spl27_22
    | ~ spl27_25 ),
    inference(avatar_contradiction_clause,[],[f1361]) ).

fof(f1361,plain,
    ( $false
    | ~ spl27_7
    | ~ spl27_22
    | ~ spl27_25 ),
    inference(subsumption_resolution,[],[f1360,f566]) ).

fof(f566,plain,
    ( aSet0(xS)
    | ~ spl27_7 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl27_7
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).

fof(f1360,plain,
    ( ~ aSet0(xS)
    | ~ spl27_22
    | ~ spl27_25 ),
    inference(resolution,[],[f1348,f390]) ).

fof(f390,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

fof(f1348,plain,
    ( ~ aSubsetOf0(xS,xS)
    | ~ spl27_22
    | ~ spl27_25 ),
    inference(backward_demodulation,[],[f986,f1341]) ).

fof(f1341,plain,
    ( xS = sF26
    | ~ spl27_22 ),
    inference(forward_demodulation,[],[f1334,f411]) ).

fof(f411,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
            & isCountable0(sdtlpdtrp0(xN,X0)) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(f1334,plain,
    ( sdtlpdtrp0(xN,sz00) = sF26
    | ~ spl27_22 ),
    inference(backward_demodulation,[],[f526,f953]) ).

fof(f953,plain,
    ( sz00 = xj
    | ~ spl27_22 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl27_22
  <=> sz00 = xj ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).

fof(f986,plain,
    ( ~ aSubsetOf0(xS,sF26)
    | ~ spl27_25 ),
    inference(backward_demodulation,[],[f527,f984]) ).

fof(f984,plain,
    ( xS = sF25
    | ~ spl27_25 ),
    inference(forward_demodulation,[],[f977,f411]) ).

fof(f977,plain,
    ( sdtlpdtrp0(xN,sz00) = sF25
    | ~ spl27_25 ),
    inference(backward_demodulation,[],[f525,f970]) ).

fof(f970,plain,
    ( sz00 = xi
    | ~ spl27_25 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f1323,plain,
    ( spl27_22
    | ~ spl27_5
    | ~ spl27_25 ),
    inference(avatar_split_clause,[],[f1322,f968,f549,f951]) ).

fof(f549,plain,
    ( spl27_5
  <=> sdtlseqdt0(xj,xi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).

fof(f1322,plain,
    ( sz00 = xj
    | ~ spl27_5
    | ~ spl27_25 ),
    inference(subsumption_resolution,[],[f1319,f358]) ).

fof(f358,plain,
    aElementOf0(xj,szNzAzT0),
    inference(cnf_transformation,[],[f83]) ).

fof(f1319,plain,
    ( sz00 = xj
    | ~ aElementOf0(xj,szNzAzT0)
    | ~ spl27_5
    | ~ spl27_25 ),
    inference(resolution,[],[f1247,f978]) ).

fof(f978,plain,
    ( sdtlseqdt0(xj,sz00)
    | ~ spl27_5
    | ~ spl27_25 ),
    inference(backward_demodulation,[],[f550,f970]) ).

fof(f550,plain,
    ( sdtlseqdt0(xj,xi)
    | ~ spl27_5 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f1247,plain,
    ! [X2] :
      ( ~ sdtlseqdt0(X2,sz00)
      | ~ aElementOf0(X2,szNzAzT0)
      | sz00 = X2 ),
    inference(subsumption_resolution,[],[f1235,f485]) ).

fof(f1235,plain,
    ! [X2] :
      ( sz00 = X2
      | ~ aElementOf0(X2,szNzAzT0)
      | ~ aElementOf0(sK24(X2),szNzAzT0)
      | ~ sdtlseqdt0(X2,sz00) ),
    inference(superposition,[],[f424,f486]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).

fof(f619,plain,
    spl27_7,
    inference(avatar_split_clause,[],[f618,f565]) ).

fof(f618,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f610,f459]) ).

fof(f459,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

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

fof(f610,plain,
    ( ~ aSet0(szNzAzT0)
    | aSet0(xS) ),
    inference(resolution,[],[f378,f393]) ).

fof(f393,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(f378,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK12(X0,X1),X0)
              & aElementOf0(sK12(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,[sK12])],[f266,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,X0)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK12(X0,X1),X0)
        & aElementOf0(sK12(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f266,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,[],[f265]) ).

fof(f265,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,[],[f264]) ).

fof(f264,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,[],[f126]) ).

fof(f126,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)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f557,plain,
    spl27_5,
    inference(avatar_split_clause,[],[f382,f549]) ).

fof(f382,plain,
    sdtlseqdt0(xj,xi),
    inference(cnf_transformation,[],[f162]) ).

fof(f555,plain,
    ( spl27_4
    | ~ spl27_5
    | spl27_6 ),
    inference(avatar_split_clause,[],[f528,f553,f549,f545]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(xj,xi)
      | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | szszuzczcdt0(X0) != xi ),
    inference(duplicate_literal_removal,[],[f473]) ).

fof(f473,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
      | ~ sdtlseqdt0(xj,xi)
      | ~ sdtlseqdt0(xj,xi)
      | ~ aElementOf0(X0,szNzAzT0)
      | szszuzczcdt0(X0) != xi ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) )
    | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ~ sdtlseqdt0(xj,xi) ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
    | ~ sdtlseqdt0(xj,xi)
    | ~ sdtlseqdt0(xj,xi)
    | ! [X0] :
        ( szszuzczcdt0(X0) != xi
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ( ( sdtlseqdt0(xj,xi)
      & ? [X0] :
          ( aElementOf0(X0,szNzAzT0)
          & szszuzczcdt0(X0) = xi ) )
   => ( sdtlseqdt0(xj,xi)
     => aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 07:27:46 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (12811)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.48  % (12835)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (12818)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49  % (12826)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (12834)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.50  % (12813)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (12826)Instruction limit reached!
% 0.18/0.51  % (12826)------------------------------
% 0.18/0.51  % (12826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (12826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (12826)Termination reason: Unknown
% 0.18/0.51  % (12826)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (12826)Memory used [KB]: 1663
% 0.18/0.51  % (12826)Time elapsed: 0.006 s
% 0.18/0.51  % (12826)Instructions burned: 8 (million)
% 0.18/0.51  % (12826)------------------------------
% 0.18/0.51  % (12826)------------------------------
% 0.18/0.51  % (12817)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.52  % (12833)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52  % (12814)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (12816)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (12813)Instruction limit reached!
% 0.18/0.52  % (12813)------------------------------
% 0.18/0.52  % (12813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (12813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (12813)Termination reason: Unknown
% 0.18/0.52  % (12813)Termination phase: Naming
% 0.18/0.52  
% 0.18/0.52  % (12813)Memory used [KB]: 1535
% 0.18/0.52  % (12813)Time elapsed: 0.003 s
% 0.18/0.52  % (12813)Instructions burned: 3 (million)
% 0.18/0.52  % (12813)------------------------------
% 0.18/0.52  % (12813)------------------------------
% 0.18/0.52  % (12812)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52  % (12821)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.52  % (12819)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52  % (12831)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.53  % (12812)Instruction limit reached!
% 0.18/0.53  % (12812)------------------------------
% 0.18/0.53  % (12812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12837)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (12824)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (12830)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53  % (12839)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53  % (12829)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (12836)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.53  % (12811)First to succeed.
% 0.18/0.53  % (12829)Instruction limit reached!
% 0.18/0.53  % (12829)------------------------------
% 0.18/0.53  % (12829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (12829)Termination reason: Unknown
% 0.18/0.53  % (12829)Termination phase: Preprocessing 2
% 0.18/0.53  
% 0.18/0.53  % (12829)Memory used [KB]: 1535
% 0.18/0.53  % (12829)Time elapsed: 0.003 s
% 0.18/0.53  % (12829)Instructions burned: 3 (million)
% 0.18/0.53  % (12829)------------------------------
% 0.18/0.53  % (12829)------------------------------
% 0.18/0.53  % (12825)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53  % (12838)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53  % (12832)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (12825)Instruction limit reached!
% 0.18/0.53  % (12825)------------------------------
% 0.18/0.53  % (12825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (12825)Termination reason: Unknown
% 0.18/0.53  % (12825)Termination phase: shuffling
% 0.18/0.53  
% 0.18/0.53  % (12825)Memory used [KB]: 1535
% 0.18/0.53  % (12825)Time elapsed: 0.003 s
% 0.18/0.53  % (12825)Instructions burned: 3 (million)
% 0.18/0.53  % (12825)------------------------------
% 0.18/0.53  % (12825)------------------------------
% 0.18/0.53  % (12811)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Theorem for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (12811)------------------------------
% 0.18/0.53  % (12811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (12811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (12811)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (12811)Memory used [KB]: 6652
% 0.18/0.53  % (12811)Time elapsed: 0.136 s
% 0.18/0.53  % (12811)Instructions burned: 40 (million)
% 0.18/0.53  % (12811)------------------------------
% 0.18/0.53  % (12811)------------------------------
% 0.18/0.53  % (12810)Success in time 0.19 s
%------------------------------------------------------------------------------