TSTP Solution File: SET935+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET935+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n026.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 18:22:47 EDT 2022

% Result   : Theorem 1.58s 0.55s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   96 (  29 unt;   0 def)
%            Number of atoms       :  288 (  53 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  304 ( 112   ~; 118   |;  50   &)
%                                         (  16 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  134 ( 121   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f670,plain,
    $false,
    inference(avatar_sat_refutation,[],[f598,f650,f660,f663,f669]) ).

fof(f669,plain,
    ~ spl11_18,
    inference(avatar_contradiction_clause,[],[f668]) ).

fof(f668,plain,
    ( $false
    | ~ spl11_18 ),
    inference(subsumption_resolution,[],[f664,f132]) ).

fof(f132,plain,
    ~ subset(sK4,sK3),
    inference(resolution,[],[f87,f84]) ).

fof(f84,plain,
    ~ inclusion_comparable(sK3,sK4),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ~ inclusion_comparable(sK3,sK4)
    & set_union2(powerset(sK3),powerset(sK4)) = powerset(set_union2(sK3,sK4)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f53,f54]) ).

fof(f54,plain,
    ( ? [X0,X1] :
        ( ~ inclusion_comparable(X0,X1)
        & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) )
   => ( ~ inclusion_comparable(sK3,sK4)
      & set_union2(powerset(sK3),powerset(sK4)) = powerset(set_union2(sK3,sK4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1] :
      ( ~ inclusion_comparable(X0,X1)
      & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ? [X1,X0] :
      ( ~ inclusion_comparable(X1,X0)
      & powerset(set_union2(X1,X0)) = set_union2(powerset(X1),powerset(X0)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ~ ! [X1,X0] :
        ( powerset(set_union2(X1,X0)) = set_union2(powerset(X1),powerset(X0))
       => inclusion_comparable(X1,X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ ! [X1,X0] :
        ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
       => inclusion_comparable(X0,X1) ),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    ! [X1,X0] :
      ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
     => inclusion_comparable(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_zfmisc_1) ).

fof(f87,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X1,X0)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X1,X0) ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X1,X0)
        | ( ~ subset(X1,X0)
          & ~ subset(X0,X1) ) )
      & ( subset(X1,X0)
        | subset(X0,X1)
        | ~ inclusion_comparable(X1,X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X1,X0)
    <=> ( subset(X1,X0)
        | subset(X0,X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] :
      ( inclusion_comparable(X0,X1)
    <=> ( subset(X1,X0)
        | subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_xboole_0) ).

fof(f664,plain,
    ( subset(sK4,sK3)
    | ~ spl11_18 ),
    inference(backward_demodulation,[],[f146,f322]) ).

fof(f322,plain,
    ( sK3 = sF9
    | ~ spl11_18 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl11_18
  <=> sK3 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).

fof(f146,plain,
    subset(sK4,sF9),
    inference(superposition,[],[f138,f99]) ).

fof(f99,plain,
    set_union2(sK3,sK4) = sF9,
    introduced(function_definition,[]) ).

fof(f138,plain,
    ! [X6,X5] : subset(X5,set_union2(X6,X5)),
    inference(superposition,[],[f77,f71]) ).

fof(f71,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f77,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0] : subset(X1,set_union2(X1,X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X1,X0] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(f663,plain,
    ( spl11_17
    | ~ spl11_16 ),
    inference(avatar_split_clause,[],[f662,f311,f315]) ).

fof(f315,plain,
    ( spl11_17
  <=> sK4 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).

fof(f311,plain,
    ( spl11_16
  <=> subset(sF9,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).

fof(f662,plain,
    ( ~ subset(sF9,sK4)
    | sK4 = sF9 ),
    inference(resolution,[],[f146,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f660,plain,
    ( ~ spl11_10
    | spl11_18 ),
    inference(avatar_split_clause,[],[f659,f320,f235]) ).

fof(f235,plain,
    ( spl11_10
  <=> subset(sF9,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

fof(f659,plain,
    ( sK3 = sF9
    | ~ subset(sF9,sK3) ),
    inference(resolution,[],[f105,f80]) ).

fof(f105,plain,
    subset(sK3,sF9),
    inference(superposition,[],[f77,f99]) ).

fof(f650,plain,
    ~ spl11_17,
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | ~ spl11_17 ),
    inference(subsumption_resolution,[],[f621,f133]) ).

fof(f133,plain,
    ~ subset(sK3,sK4),
    inference(resolution,[],[f87,f127]) ).

fof(f127,plain,
    ~ inclusion_comparable(sK4,sK3),
    inference(resolution,[],[f72,f84]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X1,X0)
      | ~ inclusion_comparable(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ inclusion_comparable(X0,X1)
      | inclusion_comparable(X1,X0) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ~ inclusion_comparable(X1,X0)
      | inclusion_comparable(X0,X1) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( inclusion_comparable(X1,X0)
     => inclusion_comparable(X0,X1) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X0] :
      ( inclusion_comparable(X0,X1)
     => inclusion_comparable(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r3_xboole_0) ).

fof(f621,plain,
    ( subset(sK3,sK4)
    | ~ spl11_17 ),
    inference(backward_demodulation,[],[f105,f317]) ).

fof(f317,plain,
    ( sK4 = sF9
    | ~ spl11_17 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f598,plain,
    ( spl11_10
    | spl11_16 ),
    inference(avatar_contradiction_clause,[],[f597]) ).

fof(f597,plain,
    ( $false
    | spl11_10
    | spl11_16 ),
    inference(subsumption_resolution,[],[f596,f325]) ).

fof(f325,plain,
    ( ~ in(sF9,sF6)
    | spl11_10 ),
    inference(resolution,[],[f237,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( subset(X0,sK3)
      | ~ in(X0,sF6) ),
    inference(superposition,[],[f90,f96]) ).

fof(f96,plain,
    powerset(sK3) = sF6,
    introduced(function_definition,[]) ).

fof(f90,plain,
    ! [X3,X1] :
      ( ~ in(X3,powerset(X1))
      | subset(X3,X1) ),
    inference(equality_resolution,[],[f60]) ).

fof(f60,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X1)
      | ~ in(X3,X0)
      | powerset(X1) != X0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( powerset(X1) = X0
        | ( ( ~ subset(sK0(X0,X1),X1)
            | ~ in(sK0(X0,X1),X0) )
          & ( subset(sK0(X0,X1),X1)
            | in(sK0(X0,X1),X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ~ subset(X3,X1) )
            & ( subset(X3,X1)
              | ~ in(X3,X0) ) )
        | powerset(X1) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ subset(X2,X1)
            | ~ in(X2,X0) )
          & ( subset(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ subset(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( subset(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( powerset(X1) = X0
        | ? [X2] :
            ( ( ~ subset(X2,X1)
              | ~ in(X2,X0) )
            & ( subset(X2,X1)
              | in(X2,X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | ~ subset(X3,X1) )
            & ( subset(X3,X1)
              | ~ in(X3,X0) ) )
        | powerset(X1) != X0 ) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( powerset(X1) = X0
        | ? [X2] :
            ( ( ~ subset(X2,X1)
              | ~ in(X2,X0) )
            & ( subset(X2,X1)
              | in(X2,X0) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X0)
              | ~ subset(X2,X1) )
            & ( subset(X2,X1)
              | ~ in(X2,X0) ) )
        | powerset(X1) != X0 ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( powerset(X1) = X0
    <=> ! [X2] :
          ( in(X2,X0)
        <=> subset(X2,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( powerset(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f237,plain,
    ( ~ subset(sF9,sK3)
    | spl11_10 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f596,plain,
    ( in(sF9,sF6)
    | spl11_16 ),
    inference(subsumption_resolution,[],[f589,f151]) ).

fof(f151,plain,
    in(sF9,sF8),
    inference(resolution,[],[f150,f75]) ).

fof(f75,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f150,plain,
    ! [X2] :
      ( ~ subset(X2,sF9)
      | in(X2,sF8) ),
    inference(superposition,[],[f89,f102]) ).

fof(f102,plain,
    sF8 = powerset(sF9),
    inference(forward_demodulation,[],[f100,f101]) ).

fof(f101,plain,
    sF8 = sF10,
    inference(definition_folding,[],[f83,f100,f99,f98,f97,f96]) ).

fof(f97,plain,
    sF7 = powerset(sK4),
    introduced(function_definition,[]) ).

fof(f98,plain,
    sF8 = set_union2(sF6,sF7),
    introduced(function_definition,[]) ).

fof(f83,plain,
    set_union2(powerset(sK3),powerset(sK4)) = powerset(set_union2(sK3,sK4)),
    inference(cnf_transformation,[],[f55]) ).

fof(f100,plain,
    sF10 = powerset(sF9),
    introduced(function_definition,[]) ).

fof(f89,plain,
    ! [X3,X1] :
      ( in(X3,powerset(X1))
      | ~ subset(X3,X1) ),
    inference(equality_resolution,[],[f61]) ).

fof(f61,plain,
    ! [X3,X0,X1] :
      ( in(X3,X0)
      | ~ subset(X3,X1)
      | powerset(X1) != X0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f589,plain,
    ( ~ in(sF9,sF8)
    | in(sF9,sF6)
    | spl11_16 ),
    inference(resolution,[],[f455,f326]) ).

fof(f326,plain,
    ( ~ in(sF9,sF7)
    | spl11_16 ),
    inference(resolution,[],[f313,f156]) ).

fof(f156,plain,
    ! [X1] :
      ( subset(X1,sK4)
      | ~ in(X1,sF7) ),
    inference(superposition,[],[f90,f97]) ).

fof(f313,plain,
    ( ~ subset(sF9,sK4)
    | spl11_16 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f455,plain,
    ! [X8] :
      ( in(X8,sF7)
      | ~ in(X8,sF8)
      | in(X8,sF6) ),
    inference(superposition,[],[f91,f98]) ).

fof(f91,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_union2(X0,X1))
      | in(X3,X0)
      | in(X3,X1) ),
    inference(equality_resolution,[],[f69]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | in(X3,X0)
      | ~ in(X3,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) )
            & ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | set_union2(X0,X1) != X2 )
      & ( set_union2(X0,X1) = X2
        | ( ( ~ in(sK1(X0,X1,X2),X2)
            | ( ~ in(sK1(X0,X1,X2),X1)
              & ~ in(sK1(X0,X1,X2),X0) ) )
          & ( in(sK1(X0,X1,X2),X2)
            | in(sK1(X0,X1,X2),X1)
            | in(sK1(X0,X1,X2),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f42,f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X2)
            | ( ~ in(X4,X1)
              & ~ in(X4,X0) ) )
          & ( in(X4,X2)
            | in(X4,X1)
            | in(X4,X0) ) )
     => ( ( ~ in(sK1(X0,X1,X2),X2)
          | ( ~ in(sK1(X0,X1,X2),X1)
            & ~ in(sK1(X0,X1,X2),X0) ) )
        & ( in(sK1(X0,X1,X2),X2)
          | in(sK1(X0,X1,X2),X1)
          | in(sK1(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) )
            & ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | set_union2(X0,X1) != X2 )
      & ( set_union2(X0,X1) = X2
        | ? [X4] :
            ( ( ~ in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X2)
              | in(X4,X1)
              | in(X4,X0) ) ) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X0,X2) != X1 )
      & ( set_union2(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) ) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X0)
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) ) )
        | set_union2(X0,X2) != X1 )
      & ( set_union2(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ( ~ in(X3,X2)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X2)
              | in(X3,X0) ) ) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( ( in(X3,X2)
            | in(X3,X0) )
        <=> in(X3,X1) )
    <=> set_union2(X0,X2) = X1 ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X2,X1] :
      ( ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            | in(X3,X1) ) )
    <=> set_union2(X0,X1) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET935+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % 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 : n026.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 14:45:36 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (21198)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)
% 0.19/0.49  % (21208)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (21196)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  % (21208)Instruction limit reached!
% 0.19/0.49  % (21208)------------------------------
% 0.19/0.49  % (21208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (21208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (21208)Termination reason: Unknown
% 0.19/0.49  % (21208)Termination phase: Finite model building preprocessing
% 0.19/0.49  
% 0.19/0.49  % (21208)Memory used [KB]: 1407
% 0.19/0.49  % (21208)Time elapsed: 0.003 s
% 0.19/0.49  % (21208)Instructions burned: 3 (million)
% 0.19/0.49  % (21208)------------------------------
% 0.19/0.49  % (21208)------------------------------
% 0.19/0.50  % (21203)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)
% 0.19/0.50  % (21210)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)
% 0.19/0.50  % (21203)Refutation not found, incomplete strategy% (21203)------------------------------
% 0.19/0.50  % (21203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (21203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (21203)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (21203)Memory used [KB]: 1407
% 0.19/0.50  % (21203)Time elapsed: 0.104 s
% 0.19/0.50  % (21203)Instructions burned: 3 (million)
% 0.19/0.50  % (21203)------------------------------
% 0.19/0.50  % (21203)------------------------------
% 0.19/0.50  % (21210)Refutation not found, incomplete strategy% (21210)------------------------------
% 0.19/0.50  % (21210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (21210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (21210)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (21210)Memory used [KB]: 5884
% 0.19/0.50  % (21210)Time elapsed: 0.111 s
% 0.19/0.50  % (21210)Instructions burned: 2 (million)
% 0.19/0.50  % (21210)------------------------------
% 0.19/0.50  % (21210)------------------------------
% 0.19/0.50  % (21213)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)
% 0.19/0.50  % (21195)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  % (21194)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)
% 0.19/0.51  % (21191)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (21196)Refutation not found, incomplete strategy% (21196)------------------------------
% 0.19/0.51  % (21196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21196)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (21196)Memory used [KB]: 1407
% 0.19/0.51  % (21196)Time elapsed: 0.113 s
% 0.19/0.51  % (21196)Instructions burned: 2 (million)
% 0.19/0.51  % (21196)------------------------------
% 0.19/0.51  % (21196)------------------------------
% 0.19/0.51  % (21205)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)
% 0.19/0.51  % (21205)Instruction limit reached!
% 0.19/0.51  % (21205)------------------------------
% 0.19/0.51  % (21205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21205)Termination reason: Unknown
% 0.19/0.51  % (21205)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (21205)Memory used [KB]: 5884
% 0.19/0.51  % (21205)Time elapsed: 0.004 s
% 0.19/0.51  % (21205)Instructions burned: 3 (million)
% 0.19/0.51  % (21205)------------------------------
% 0.19/0.51  % (21205)------------------------------
% 0.19/0.52  % (21202)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  % (21204)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)
% 0.19/0.52  % (21207)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  % (21193)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)
% 0.19/0.52  % (21215)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  % (21217)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)
% 0.19/0.52  % (21193)Instruction limit reached!
% 0.19/0.52  % (21193)------------------------------
% 0.19/0.52  % (21193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (21193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (21193)Termination reason: Unknown
% 0.19/0.52  % (21193)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (21193)Memory used [KB]: 6012
% 0.19/0.52  % (21193)Time elapsed: 0.123 s
% 0.19/0.52  % (21193)Instructions burned: 4 (million)
% 0.19/0.52  % (21193)------------------------------
% 0.19/0.52  % (21193)------------------------------
% 0.19/0.52  % (21219)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)
% 0.19/0.52  % (21221)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)
% 0.19/0.52  % (21206)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)
% 0.19/0.52  % (21192)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  % (21216)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)
% 0.19/0.52  % (21218)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)
% 0.19/0.53  % (21206)Instruction limit reached!
% 0.19/0.53  % (21206)------------------------------
% 0.19/0.53  % (21206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21206)Termination reason: Unknown
% 0.19/0.53  % (21206)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (21206)Memory used [KB]: 6012
% 0.19/0.53  % (21206)Time elapsed: 0.093 s
% 0.19/0.53  % (21206)Instructions burned: 8 (million)
% 0.19/0.53  % (21206)------------------------------
% 0.19/0.53  % (21206)------------------------------
% 0.19/0.53  % (21192)Instruction limit reached!
% 0.19/0.53  % (21192)------------------------------
% 0.19/0.53  % (21192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21192)Termination reason: Unknown
% 0.19/0.53  % (21192)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (21192)Memory used [KB]: 6140
% 0.19/0.53  % (21192)Time elapsed: 0.130 s
% 0.19/0.53  % (21192)Instructions burned: 13 (million)
% 0.19/0.53  % (21192)------------------------------
% 0.19/0.53  % (21192)------------------------------
% 0.19/0.53  % (21220)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)
% 0.19/0.53  % (21195)Instruction limit reached!
% 0.19/0.53  % (21195)------------------------------
% 0.19/0.53  % (21195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21195)Termination reason: Unknown
% 0.19/0.53  % (21195)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (21195)Memory used [KB]: 6012
% 0.19/0.53  % (21195)Time elapsed: 0.136 s
% 0.19/0.53  % (21195)Instructions burned: 15 (million)
% 0.19/0.53  % (21195)------------------------------
% 0.19/0.53  % (21195)------------------------------
% 0.19/0.53  % (21211)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)
% 0.19/0.53  % (21220)Refutation not found, incomplete strategy% (21220)------------------------------
% 0.19/0.53  % (21220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21220)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (21220)Memory used [KB]: 5884
% 0.19/0.53  % (21220)Time elapsed: 0.113 s
% 0.19/0.53  % (21220)Instructions burned: 2 (million)
% 0.19/0.53  % (21220)------------------------------
% 0.19/0.53  % (21220)------------------------------
% 0.19/0.53  % (21209)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)
% 0.19/0.53  % (21201)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  % (21209)Instruction limit reached!
% 0.19/0.53  % (21209)------------------------------
% 0.19/0.53  % (21209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21209)Termination reason: Unknown
% 0.19/0.53  % (21209)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (21209)Memory used [KB]: 1407
% 0.19/0.53  % (21209)Time elapsed: 0.002 s
% 0.19/0.53  % (21209)Instructions burned: 2 (million)
% 0.19/0.53  % (21209)------------------------------
% 0.19/0.53  % (21209)------------------------------
% 0.19/0.53  % (21214)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  % (21201)Refutation not found, incomplete strategy% (21201)------------------------------
% 0.19/0.53  % (21201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21201)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (21201)Memory used [KB]: 5884
% 0.19/0.53  % (21201)Time elapsed: 0.105 s
% 0.19/0.53  % (21201)Instructions burned: 1 (million)
% 0.19/0.53  % (21201)------------------------------
% 0.19/0.53  % (21201)------------------------------
% 0.19/0.54  % (21199)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  % (21215)Refutation not found, incomplete strategy% (21215)------------------------------
% 0.19/0.54  % (21215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21215)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (21215)Memory used [KB]: 1535
% 0.19/0.54  % (21215)Time elapsed: 0.093 s
% 0.19/0.54  % (21215)Instructions burned: 8 (million)
% 0.19/0.54  % (21215)------------------------------
% 0.19/0.54  % (21215)------------------------------
% 0.19/0.54  % (21202)Instruction limit reached!
% 0.19/0.54  % (21202)------------------------------
% 0.19/0.54  % (21202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21191)First to succeed.
% 1.58/0.55  % (21191)Refutation found. Thanks to Tanya!
% 1.58/0.55  % SZS status Theorem for theBenchmark
% 1.58/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.55  % (21191)------------------------------
% 1.58/0.55  % (21191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (21191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (21191)Termination reason: Refutation
% 1.58/0.55  
% 1.58/0.55  % (21191)Memory used [KB]: 6140
% 1.58/0.55  % (21191)Time elapsed: 0.155 s
% 1.58/0.55  % (21191)Instructions burned: 19 (million)
% 1.58/0.55  % (21191)------------------------------
% 1.58/0.55  % (21191)------------------------------
% 1.58/0.55  % (21187)Success in time 0.2 s
%------------------------------------------------------------------------------