TSTP Solution File: NUM625+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM625+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 : 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 : Wed Aug 31 18:01:18 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   68 (  18 unt;   0 def)
%            Number of atoms       :  285 (  43 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  341 ( 124   ~; 117   |;  75   &)
%                                         (  17 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   5 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   97 (  89   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1069,plain,
    $false,
    inference(avatar_sat_refutation,[],[f787,f845,f1050,f1054,f1068]) ).

fof(f1068,plain,
    ~ spl25_45,
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | ~ spl25_45 ),
    inference(subsumption_resolution,[],[f1065,f337]) ).

fof(f337,plain,
    aElementOf0(xx,xP),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,axiom,
    aElementOf0(xx,xP),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).

fof(f1065,plain,
    ( ~ aElementOf0(xx,xP)
    | ~ spl25_45 ),
    inference(resolution,[],[f1045,f558]) ).

fof(f558,plain,
    ! [X0,X1,X4] :
      ( ~ sP2(X0,X1,X4)
      | ~ aElementOf0(X4,X0) ),
    inference(equality_resolution,[],[f463]) ).

fof(f463,plain,
    ! [X2,X0,X1,X4] :
      ( X2 != X4
      | ~ aElementOf0(X4,X0)
      | ~ sP2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ( ( ~ aElement0(sK11(X0,X1,X2))
            | ~ aElementOf0(sK11(X0,X1,X2),X1)
            | sK11(X0,X1,X2) = X2
            | ~ aElementOf0(sK11(X0,X1,X2),X0) )
          & ( ( aElement0(sK11(X0,X1,X2))
              & aElementOf0(sK11(X0,X1,X2),X1)
              & sK11(X0,X1,X2) != X2 )
            | aElementOf0(sK11(X0,X1,X2),X0) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X1)
                | X2 = X4 )
              & ( ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X2 != X4 )
                | ~ aElementOf0(X4,X0) ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f300,f301]) ).

fof(f301,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ aElement0(X3)
            | ~ aElementOf0(X3,X1)
            | X2 = X3
            | ~ aElementOf0(X3,X0) )
          & ( ( aElement0(X3)
              & aElementOf0(X3,X1)
              & X2 != X3 )
            | aElementOf0(X3,X0) ) )
     => ( ( ~ aElement0(sK11(X0,X1,X2))
          | ~ aElementOf0(sK11(X0,X1,X2),X1)
          | sK11(X0,X1,X2) = X2
          | ~ aElementOf0(sK11(X0,X1,X2),X0) )
        & ( ( aElement0(sK11(X0,X1,X2))
            & aElementOf0(sK11(X0,X1,X2),X1)
            & sK11(X0,X1,X2) != X2 )
          | aElementOf0(sK11(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f300,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | ~ aSet0(X0)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ~ aElementOf0(X3,X1)
              | X2 = X3
              | ~ aElementOf0(X3,X0) )
            & ( ( aElement0(X3)
                & aElementOf0(X3,X1)
                & X2 != X3 )
              | aElementOf0(X3,X0) ) ) )
      & ( ( aSet0(X0)
          & ! [X4] :
              ( ( aElementOf0(X4,X0)
                | ~ aElement0(X4)
                | ~ aElementOf0(X4,X1)
                | X2 = X4 )
              & ( ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X2 != X4 )
                | ~ aElementOf0(X4,X0) ) ) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f299]) ).

fof(f299,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ~ aElementOf0(X3,X1)
              | X0 = X3
              | ~ aElementOf0(X3,X2) )
            & ( ( aElement0(X3)
                & aElementOf0(X3,X1)
                & X0 != X3 )
              | aElementOf0(X3,X2) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X1)
                | X0 = X3 )
              & ( ( aElement0(X3)
                  & aElementOf0(X3,X1)
                  & X0 != X3 )
                | ~ aElementOf0(X3,X2) ) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(flattening,[],[f298]) ).

fof(f298,plain,
    ! [X2,X1,X0] :
      ( ( sP2(X2,X1,X0)
        | ~ aSet0(X2)
        | ? [X3] :
            ( ( ~ aElement0(X3)
              | ~ aElementOf0(X3,X1)
              | X0 = X3
              | ~ aElementOf0(X3,X2) )
            & ( ( aElement0(X3)
                & aElementOf0(X3,X1)
                & X0 != X3 )
              | aElementOf0(X3,X2) ) ) )
      & ( ( aSet0(X2)
          & ! [X3] :
              ( ( aElementOf0(X3,X2)
                | ~ aElement0(X3)
                | ~ aElementOf0(X3,X1)
                | X0 = X3 )
              & ( ( aElement0(X3)
                  & aElementOf0(X3,X1)
                  & X0 != X3 )
                | ~ aElementOf0(X3,X2) ) ) )
        | ~ sP2(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X2,X1,X0] :
      ( sP2(X2,X1,X0)
    <=> ( aSet0(X2)
        & ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ( aElement0(X3)
              & aElementOf0(X3,X1)
              & X0 != X3 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f1045,plain,
    ( sP2(xP,xQ,xx)
    | ~ spl25_45 ),
    inference(avatar_component_clause,[],[f1043]) ).

fof(f1043,plain,
    ( spl25_45
  <=> sP2(xP,xQ,xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_45])]) ).

fof(f1054,plain,
    ( ~ spl25_23
    | ~ spl25_24
    | spl25_46 ),
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1053,plain,
    ( $false
    | ~ spl25_23
    | ~ spl25_24
    | spl25_46 ),
    inference(subsumption_resolution,[],[f1052,f754]) ).

fof(f754,plain,
    ( aSet0(xQ)
    | ~ spl25_23 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f753,plain,
    ( spl25_23
  <=> aSet0(xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).

fof(f1052,plain,
    ( ~ aSet0(xQ)
    | ~ spl25_24
    | spl25_46 ),
    inference(subsumption_resolution,[],[f1051,f759]) ).

fof(f759,plain,
    ( aElement0(xx)
    | ~ spl25_24 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl25_24
  <=> aElement0(xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).

fof(f1051,plain,
    ( ~ aElement0(xx)
    | ~ aSet0(xQ)
    | spl25_46 ),
    inference(resolution,[],[f1049,f472]) ).

fof(f472,plain,
    ! [X0,X1] :
      ( sP3(X0,X1)
      | ~ aElement0(X0)
      | ~ aSet0(X1) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | sP3(X0,X1)
      | ~ aElement0(X0) ),
    inference(definition_folding,[],[f160,f258,f257]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> sP2(X2,X1,X0) )
      | ~ sP3(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ aSet0(X1)
      | ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X1)
                  & X0 != X3 ) ) ) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X1)
                  & X0 != X3 ) ) ) )
      | ~ aSet0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ( aSet0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( sdtmndt0(X1,X0) = X2
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & aElementOf0(X3,X1)
                  & X0 != X3 ) ) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X0] :
      ( ( aSet0(X0)
        & aElement0(X1) )
     => ! [X2] :
          ( ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElement0(X3)
                  & X1 != X3
                  & aElementOf0(X3,X0) ) )
            & aSet0(X2) )
        <=> sdtmndt0(X0,X1) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f1049,plain,
    ( ~ sP3(xx,xQ)
    | spl25_46 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl25_46
  <=> sP3(xx,xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_46])]) ).

fof(f1050,plain,
    ( spl25_45
    | ~ spl25_46 ),
    inference(avatar_split_clause,[],[f1041,f1047,f1043]) ).

fof(f1041,plain,
    ( ~ sP3(xx,xQ)
    | sP2(xP,xQ,xx) ),
    inference(superposition,[],[f557,f592]) ).

fof(f592,plain,
    xP = sdtmndt0(xQ,xx),
    inference(forward_demodulation,[],[f341,f540]) ).

fof(f540,plain,
    szmzizndt0(xQ) = xx,
    inference(definition_unfolding,[],[f433,f531]) ).

fof(f531,plain,
    xp = xx,
    inference(cnf_transformation,[],[f120]) ).

fof(f120,axiom,
    xp = xx,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5496) ).

fof(f433,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,axiom,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).

fof(f341,plain,
    xP = sdtmndt0(xQ,szmzizndt0(xQ)),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,axiom,
    ( aSet0(xP)
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).

fof(f557,plain,
    ! [X0,X1] :
      ( sP2(sdtmndt0(X1,X0),X1,X0)
      | ~ sP3(X0,X1) ),
    inference(equality_resolution,[],[f461]) ).

fof(f461,plain,
    ! [X2,X0,X1] :
      ( sP2(X2,X1,X0)
      | sdtmndt0(X1,X0) != X2
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f297]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtmndt0(X1,X0) = X2
            | ~ sP2(X2,X1,X0) )
          & ( sP2(X2,X1,X0)
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sP3(X0,X1) ),
    inference(nnf_transformation,[],[f258]) ).

fof(f845,plain,
    spl25_23,
    inference(avatar_split_clause,[],[f844,f753]) ).

fof(f844,plain,
    aSet0(xQ),
    inference(subsumption_resolution,[],[f825,f394]) ).

fof(f394,plain,
    aSet0(xO),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,axiom,
    ( aSet0(xO)
    & isCountable0(xO) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).

fof(f825,plain,
    ( aSet0(xQ)
    | ~ aSet0(xO) ),
    inference(resolution,[],[f517,f421]) ).

fof(f421,plain,
    aSubsetOf0(xQ,xO),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    ( slcrc0 != xQ
    & aSubsetOf0(xQ,xO) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f328]) ).

fof(f328,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK22(X0,X1),X0)
              & aElementOf0(sK22(X0,X1),X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f326,f327]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ aElementOf0(X3,X0)
          & aElementOf0(X3,X1) )
     => ( ~ aElementOf0(sK22(X0,X1),X0)
        & aElementOf0(sK22(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f326,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X3] :
                ( ~ aElementOf0(X3,X0)
                & aElementOf0(X3,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f325]) ).

fof(f325,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f324]) ).

fof(f324,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) )
        <=> aSubsetOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) )
        <=> aSubsetOf0(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f787,plain,
    spl25_24,
    inference(avatar_split_clause,[],[f751,f757]) ).

fof(f751,plain,
    aElement0(xx),
    inference(subsumption_resolution,[],[f726,f342]) ).

fof(f342,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f104]) ).

fof(f726,plain,
    ( aElement0(xx)
    | ~ aSet0(xP) ),
    inference(resolution,[],[f496,f337]) ).

fof(f496,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 07:36:57 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (29769)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)
% 0.19/0.49  % (29768)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (29784)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)
% 0.19/0.50  % (29769)Instruction limit reached!
% 0.19/0.50  % (29769)------------------------------
% 0.19/0.50  % (29769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (29769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (29769)Termination reason: Unknown
% 0.19/0.50  % (29769)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (29769)Memory used [KB]: 1918
% 0.19/0.50  % (29769)Time elapsed: 0.009 s
% 0.19/0.50  % (29769)Instructions burned: 15 (million)
% 0.19/0.50  % (29769)------------------------------
% 0.19/0.50  % (29769)------------------------------
% 0.19/0.50  % (29767)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)
% 0.19/0.50  % (29792)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)
% 0.19/0.50  % (29766)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)
% 0.19/0.50  % (29766)Instruction limit reached!
% 0.19/0.50  % (29766)------------------------------
% 0.19/0.50  % (29766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (29766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (29766)Termination reason: Unknown
% 0.19/0.50  % (29766)Termination phase: Preprocessing 3
% 0.19/0.50  
% 0.19/0.50  % (29766)Memory used [KB]: 1663
% 0.19/0.50  % (29766)Time elapsed: 0.003 s
% 0.19/0.50  % (29766)Instructions burned: 4 (million)
% 0.19/0.50  % (29766)------------------------------
% 0.19/0.50  % (29766)------------------------------
% 0.19/0.50  % (29776)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51  % (29785)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)
% 0.19/0.51  % (29790)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)
% 0.19/0.51  % (29794)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51  % (29779)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)
% 0.19/0.51  % (29783)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)
% 0.19/0.51  % (29776)Instruction limit reached!
% 0.19/0.51  % (29776)------------------------------
% 0.19/0.51  % (29776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29777)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)
% 0.19/0.51  % (29793)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)
% 0.19/0.52  % (29775)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (29791)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)
% 0.19/0.52  % (29770)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)
% 0.19/0.52  % (29765)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)
% 0.19/0.52  % (29768)Instruction limit reached!
% 0.19/0.52  % (29768)------------------------------
% 0.19/0.52  % (29768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29768)Termination reason: Unknown
% 0.19/0.52  % (29768)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29768)Memory used [KB]: 6268
% 0.19/0.52  % (29768)Time elapsed: 0.010 s
% 0.19/0.52  % (29768)Instructions burned: 13 (million)
% 0.19/0.52  % (29768)------------------------------
% 0.19/0.52  % (29768)------------------------------
% 0.19/0.52  % (29776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29776)Termination reason: Unknown
% 0.19/0.52  % (29776)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29776)Memory used [KB]: 1918
% 0.19/0.52  % (29776)Time elapsed: 0.009 s
% 0.19/0.52  % (29776)Instructions burned: 16 (million)
% 0.19/0.52  % (29776)------------------------------
% 0.19/0.52  % (29776)------------------------------
% 0.19/0.52  % (29778)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)
% 0.19/0.52  % (29788)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)
% 0.19/0.52  % (29778)Instruction limit reached!
% 0.19/0.52  % (29778)------------------------------
% 0.19/0.52  % (29778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29778)Termination reason: Unknown
% 0.19/0.52  % (29778)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (29778)Memory used [KB]: 1663
% 0.19/0.52  % (29778)Time elapsed: 0.004 s
% 0.19/0.52  % (29778)Instructions burned: 4 (million)
% 0.19/0.52  % (29778)------------------------------
% 0.19/0.52  % (29778)------------------------------
% 0.19/0.52  % (29780)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (29773)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (29771)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)
% 0.19/0.53  % (29764)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53  % (29793)Instruction limit reached!
% 0.19/0.53  % (29793)------------------------------
% 0.19/0.53  % (29793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29793)Termination reason: Unknown
% 0.19/0.53  % (29793)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (29793)Memory used [KB]: 1791
% 0.19/0.53  % (29793)Time elapsed: 0.006 s
% 0.19/0.53  % (29793)Instructions burned: 8 (million)
% 0.19/0.53  % (29793)------------------------------
% 0.19/0.53  % (29793)------------------------------
% 0.19/0.53  % (29786)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)
% 0.19/0.53  % (29789)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)
% 0.19/0.53  % (29781)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (29774)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)
% 0.19/0.53  % (29779)Instruction limit reached!
% 0.19/0.53  % (29779)------------------------------
% 0.19/0.53  % (29779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29779)Termination reason: Unknown
% 0.19/0.53  % (29779)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (29779)Memory used [KB]: 1791
% 0.19/0.53  % (29779)Time elapsed: 0.006 s
% 0.19/0.53  % (29779)Instructions burned: 9 (million)
% 0.19/0.53  % (29779)------------------------------
% 0.19/0.53  % (29779)------------------------------
% 0.19/0.53  % (29784)Instruction limit reached!
% 0.19/0.53  % (29784)------------------------------
% 0.19/0.53  % (29784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29784)Termination reason: Unknown
% 0.19/0.53  % (29784)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (29783)Instruction limit reached!
% 0.19/0.53  % (29783)------------------------------
% 0.19/0.53  % (29783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29784)Memory used [KB]: 6780
% 0.19/0.53  % (29783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29784)Time elapsed: 0.123 s
% 0.19/0.53  % (29783)Termination reason: Unknown
% 0.19/0.53  % (29784)Instructions burned: 31 (million)
% 0.19/0.53  % (29783)Termination phase: Property scanning
% 0.19/0.53  % (29784)------------------------------
% 0.19/0.53  % (29784)------------------------------
% 0.19/0.53  
% 0.19/0.53  % (29783)Memory used [KB]: 1791
% 0.19/0.53  % (29783)Time elapsed: 0.007 s
% 0.19/0.53  % (29783)Instructions burned: 11 (million)
% 0.19/0.53  % (29783)------------------------------
% 0.19/0.53  % (29783)------------------------------
% 0.19/0.54  % (29775)Instruction limit reached!
% 0.19/0.54  % (29775)------------------------------
% 0.19/0.54  % (29775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29775)Termination reason: Unknown
% 0.19/0.54  % (29775)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (29775)Memory used [KB]: 1791
% 0.19/0.54  % (29775)Time elapsed: 0.004 s
% 0.19/0.54  % (29775)Instructions burned: 8 (million)
% 0.19/0.54  % (29775)------------------------------
% 0.19/0.54  % (29775)------------------------------
% 0.19/0.54  % (29782)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)
% 0.19/0.54  % (29772)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)
% 0.19/0.54  % (29781)Instruction limit reached!
% 0.19/0.54  % (29781)------------------------------
% 0.19/0.54  % (29781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29781)Termination reason: Unknown
% 0.19/0.54  % (29781)Termination phase: Naming
% 0.19/0.54  
% 0.19/0.54  % (29781)Memory used [KB]: 1663
% 0.19/0.54  % (29781)Time elapsed: 0.003 s
% 0.19/0.54  % (29781)Instructions burned: 3 (million)
% 0.19/0.54  % (29781)------------------------------
% 0.19/0.54  % (29781)------------------------------
% 0.19/0.54  % (29765)Instruction limit reached!
% 0.19/0.54  % (29765)------------------------------
% 0.19/0.54  % (29765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29765)Termination reason: Unknown
% 0.19/0.54  % (29765)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (29765)Memory used [KB]: 1918
% 0.19/0.54  % (29765)Time elapsed: 0.009 s
% 0.19/0.54  % (29765)Instructions burned: 14 (million)
% 0.19/0.54  % (29765)------------------------------
% 0.19/0.54  % (29765)------------------------------
% 0.19/0.54  % (29782)Instruction limit reached!
% 0.19/0.54  % (29782)------------------------------
% 0.19/0.54  % (29782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29782)Termination reason: Unknown
% 0.19/0.54  % (29782)Termination phase: Preprocessing 2
% 0.19/0.54  
% 0.19/0.54  % (29782)Memory used [KB]: 1535
% 0.19/0.54  % (29782)Time elapsed: 0.003 s
% 0.19/0.54  % (29782)Instructions burned: 3 (million)
% 0.19/0.54  % (29782)------------------------------
% 0.19/0.54  % (29782)------------------------------
% 0.19/0.55  % (29770)First to succeed.
% 0.19/0.55  % (29774)Instruction limit reached!
% 0.19/0.55  % (29774)------------------------------
% 0.19/0.55  % (29774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29774)Termination reason: Unknown
% 0.19/0.55  % (29774)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (29774)Memory used [KB]: 1791
% 0.19/0.55  % (29774)Time elapsed: 0.007 s
% 0.19/0.55  % (29774)Instructions burned: 12 (million)
% 0.19/0.55  % (29774)------------------------------
% 0.19/0.55  % (29774)------------------------------
% 0.19/0.55  % (29792)Instruction limit reached!
% 0.19/0.55  % (29792)------------------------------
% 0.19/0.55  % (29792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29792)Termination reason: Unknown
% 0.19/0.55  % (29792)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (29792)Memory used [KB]: 6652
% 0.19/0.55  % (29792)Time elapsed: 0.149 s
% 0.19/0.55  % (29792)Instructions burned: 26 (million)
% 0.19/0.55  % (29792)------------------------------
% 0.19/0.55  % (29792)------------------------------
% 0.19/0.56  % (29794)Instruction limit reached!
% 0.19/0.56  % (29794)------------------------------
% 0.19/0.56  % (29794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (29794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (29794)Termination reason: Unknown
% 0.19/0.56  % (29794)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (29794)Memory used [KB]: 6524
% 0.19/0.56  % (29794)Time elapsed: 0.154 s
% 0.19/0.56  % (29794)Instructions burned: 24 (million)
% 0.19/0.56  % (29794)------------------------------
% 0.19/0.56  % (29794)------------------------------
% 0.19/0.57  % (29770)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (29770)------------------------------
% 0.19/0.57  % (29770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (29770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (29770)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (29770)Memory used [KB]: 6652
% 0.19/0.57  % (29770)Time elapsed: 0.142 s
% 0.19/0.57  % (29770)Instructions burned: 24 (million)
% 0.19/0.57  % (29770)------------------------------
% 0.19/0.57  % (29770)------------------------------
% 0.19/0.57  % (29759)Success in time 0.215 s
%------------------------------------------------------------------------------