TSTP Solution File: SEU157+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n003.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 18:26:57 EDT 2022

% Result   : Theorem 0.11s 0.45s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   64 (   1 unt;   0 def)
%            Number of atoms       :  258 (  60 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  307 ( 113   ~; 118   |;  59   &)
%                                         (  10 <=>;   6  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :  194 ( 151   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f118,plain,
    $false,
    inference(avatar_sat_refutation,[],[f65,f66,f67,f94,f112,f117]) ).

fof(f117,plain,
    ( ~ spl9_1
    | spl9_2
    | ~ spl9_3 ),
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl9_1
    | spl9_2
    | ~ spl9_3 ),
    inference(subsumption_resolution,[],[f115,f63]) ).

fof(f63,plain,
    ( in(sK2,sK3)
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl9_3
  <=> in(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f115,plain,
    ( ~ in(sK2,sK3)
    | ~ spl9_1
    | spl9_2 ),
    inference(subsumption_resolution,[],[f114,f55]) ).

fof(f55,plain,
    ( in(sK1,sK0)
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl9_1
  <=> in(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f114,plain,
    ( ~ in(sK1,sK0)
    | ~ in(sK2,sK3)
    | spl9_2 ),
    inference(resolution,[],[f60,f49]) ).

fof(f49,plain,
    ! [X2,X0,X4,X5] :
      ( in(ordered_pair(X5,X4),cartesian_product2(X2,X0))
      | ~ in(X4,X0)
      | ~ in(X5,X2) ),
    inference(equality_resolution,[],[f48]) ).

fof(f48,plain,
    ! [X2,X0,X1,X4,X5] :
      ( in(ordered_pair(X5,X4),X1)
      | ~ in(X4,X0)
      | ~ in(X5,X2)
      | cartesian_product2(X2,X0) != X1 ),
    inference(equality_resolution,[],[f47]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( in(X3,X1)
      | ~ in(X4,X0)
      | ~ in(X5,X2)
      | ordered_pair(X5,X4) != X3
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | ! [X4,X5] :
                  ( ~ in(X4,X0)
                  | ~ in(X5,X2)
                  | ordered_pair(X5,X4) != X3 ) )
            & ( ( in(sK4(X0,X2,X3),X0)
                & in(sK5(X0,X2,X3),X2)
                & ordered_pair(sK5(X0,X2,X3),sK4(X0,X2,X3)) = X3 )
              | ~ in(X3,X1) ) )
        | cartesian_product2(X2,X0) != X1 )
      & ( cartesian_product2(X2,X0) = X1
        | ( ( ! [X9,X10] :
                ( ~ in(X9,X0)
                | ~ in(X10,X2)
                | ordered_pair(X10,X9) != sK6(X0,X1,X2) )
            | ~ in(sK6(X0,X1,X2),X1) )
          & ( ( in(sK7(X0,X1,X2),X0)
              & in(sK8(X0,X1,X2),X2)
              & ordered_pair(sK8(X0,X1,X2),sK7(X0,X1,X2)) = sK6(X0,X1,X2) )
            | in(sK6(X0,X1,X2),X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f29,f32,f31,f30]) ).

fof(f30,plain,
    ! [X0,X2,X3] :
      ( ? [X6,X7] :
          ( in(X6,X0)
          & in(X7,X2)
          & ordered_pair(X7,X6) = X3 )
     => ( in(sK4(X0,X2,X3),X0)
        & in(sK5(X0,X2,X3),X2)
        & ordered_pair(sK5(X0,X2,X3),sK4(X0,X2,X3)) = X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ? [X8] :
          ( ( ! [X9,X10] :
                ( ~ in(X9,X0)
                | ~ in(X10,X2)
                | ordered_pair(X10,X9) != X8 )
            | ~ in(X8,X1) )
          & ( ? [X11,X12] :
                ( in(X11,X0)
                & in(X12,X2)
                & ordered_pair(X12,X11) = X8 )
            | in(X8,X1) ) )
     => ( ( ! [X10,X9] :
              ( ~ in(X9,X0)
              | ~ in(X10,X2)
              | ordered_pair(X10,X9) != sK6(X0,X1,X2) )
          | ~ in(sK6(X0,X1,X2),X1) )
        & ( ? [X12,X11] :
              ( in(X11,X0)
              & in(X12,X2)
              & ordered_pair(X12,X11) = sK6(X0,X1,X2) )
          | in(sK6(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ? [X12,X11] :
          ( in(X11,X0)
          & in(X12,X2)
          & ordered_pair(X12,X11) = sK6(X0,X1,X2) )
     => ( in(sK7(X0,X1,X2),X0)
        & in(sK8(X0,X1,X2),X2)
        & ordered_pair(sK8(X0,X1,X2),sK7(X0,X1,X2)) = sK6(X0,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | ! [X4,X5] :
                  ( ~ in(X4,X0)
                  | ~ in(X5,X2)
                  | ordered_pair(X5,X4) != X3 ) )
            & ( ? [X6,X7] :
                  ( in(X6,X0)
                  & in(X7,X2)
                  & ordered_pair(X7,X6) = X3 )
              | ~ in(X3,X1) ) )
        | cartesian_product2(X2,X0) != X1 )
      & ( cartesian_product2(X2,X0) = X1
        | ? [X8] :
            ( ( ! [X9,X10] :
                  ( ~ in(X9,X0)
                  | ~ in(X10,X2)
                  | ordered_pair(X10,X9) != X8 )
              | ~ in(X8,X1) )
            & ( ? [X11,X12] :
                  ( in(X11,X0)
                  & in(X12,X2)
                  & ordered_pair(X12,X11) = X8 )
              | in(X8,X1) ) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ( ! [X3] :
            ( ( in(X3,X0)
              | ! [X5,X4] :
                  ( ~ in(X5,X2)
                  | ~ in(X4,X1)
                  | ordered_pair(X4,X5) != X3 ) )
            & ( ? [X5,X4] :
                  ( in(X5,X2)
                  & in(X4,X1)
                  & ordered_pair(X4,X5) = X3 )
              | ~ in(X3,X0) ) )
        | cartesian_product2(X1,X2) != X0 )
      & ( cartesian_product2(X1,X2) = X0
        | ? [X3] :
            ( ( ! [X5,X4] :
                  ( ~ in(X5,X2)
                  | ~ in(X4,X1)
                  | ordered_pair(X4,X5) != X3 )
              | ~ in(X3,X0) )
            & ( ? [X5,X4] :
                  ( in(X5,X2)
                  & in(X4,X1)
                  & ordered_pair(X4,X5) = X3 )
              | in(X3,X0) ) ) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( ! [X3] :
          ( in(X3,X0)
        <=> ? [X5,X4] :
              ( in(X5,X2)
              & in(X4,X1)
              & ordered_pair(X4,X5) = X3 ) )
    <=> cartesian_product2(X1,X2) = X0 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( ? [X4,X5] :
              ( in(X4,X0)
              & in(X5,X1)
              & ordered_pair(X4,X5) = X3 )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f60,plain,
    ( ~ in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl9_2
  <=> in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f112,plain,
    ( spl9_1
    | ~ spl9_2 ),
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f111,plain,
    ( $false
    | spl9_1
    | ~ spl9_2 ),
    inference(subsumption_resolution,[],[f108,f56]) ).

fof(f56,plain,
    ( ~ in(sK1,sK0)
    | spl9_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f108,plain,
    ( in(sK1,sK0)
    | ~ spl9_2 ),
    inference(resolution,[],[f105,f59]) ).

fof(f59,plain,
    ( in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f105,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | in(X11,X8) ),
    inference(duplicate_literal_removal,[],[f104]) ).

fof(f104,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | in(X11,X8) ),
    inference(superposition,[],[f50,f100]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( sK4(X0,X1,ordered_pair(X2,X3)) = X3
      | ~ in(ordered_pair(X2,X3),cartesian_product2(X1,X0)) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X21,X24,X22,X23,X20] :
      ( ordered_pair(X23,X24) != X22
      | sK4(X20,X21,X22) = X24
      | ~ in(X22,cartesian_product2(X21,X20)) ),
    inference(superposition,[],[f34,f52]) ).

fof(f52,plain,
    ! [X2,X3,X0] :
      ( ordered_pair(sK5(X0,X2,X3),sK4(X0,X2,X3)) = X3
      | ~ in(X3,cartesian_product2(X2,X0)) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(sK5(X0,X2,X3),sK4(X0,X2,X3)) = X3
      | ~ in(X3,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X3,X2)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( ( X0 = X3
        & X1 = X2 )
      | ordered_pair(X0,X1) != ordered_pair(X3,X2) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X2,X0,X3,X1] :
      ( ( X1 = X2
        & X0 = X3 )
      | ordered_pair(X1,X3) != ordered_pair(X2,X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X2,X3,X1] :
      ( ordered_pair(X1,X3) = ordered_pair(X2,X0)
     => ( X1 = X2
        & X0 = X3 ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X0,X2,X1] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X0 = X2
        & X1 = X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_zfmisc_1) ).

fof(f50,plain,
    ! [X2,X3,X0] :
      ( in(sK4(X0,X2,X3),X0)
      | ~ in(X3,cartesian_product2(X2,X0)) ),
    inference(equality_resolution,[],[f46]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK4(X0,X2,X3),X0)
      | ~ in(X3,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f94,plain,
    ( spl9_3
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f89,f58,f62]) ).

fof(f89,plain,
    ( in(sK2,sK3)
    | ~ spl9_2 ),
    inference(resolution,[],[f87,f59]) ).

fof(f87,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | in(X10,X9) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f85,plain,
    ! [X10,X11,X8,X9] :
      ( ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | ~ in(ordered_pair(X10,X11),cartesian_product2(X9,X8))
      | in(X10,X9) ),
    inference(superposition,[],[f51,f81]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1] :
      ( sK5(X0,X1,ordered_pair(X2,X3)) = X2
      | ~ in(ordered_pair(X2,X3),cartesian_product2(X1,X0)) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X10,X11,X14,X12,X13] :
      ( ordered_pair(X13,X14) != X12
      | sK5(X10,X11,X12) = X13
      | ~ in(X12,cartesian_product2(X11,X10)) ),
    inference(superposition,[],[f35,f52]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X3,X2)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f51,plain,
    ! [X2,X3,X0] :
      ( in(sK5(X0,X2,X3),X2)
      | ~ in(X3,cartesian_product2(X2,X0)) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( in(sK5(X0,X2,X3),X2)
      | ~ in(X3,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f67,plain,
    ( spl9_3
    | spl9_2 ),
    inference(avatar_split_clause,[],[f36,f58,f62]) ).

fof(f36,plain,
    ( in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
    | in(sK2,sK3) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( ( ~ in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
      | ~ in(sK1,sK0)
      | ~ in(sK2,sK3) )
    & ( in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
      | ( in(sK1,sK0)
        & in(sK2,sK3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f25,f26]) ).

fof(f26,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( ~ in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
          | ~ in(X1,X0)
          | ~ in(X2,X3) )
        & ( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
          | ( in(X1,X0)
            & in(X2,X3) ) ) )
   => ( ( ~ in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
        | ~ in(sK1,sK0)
        | ~ in(sK2,sK3) )
      & ( in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
        | ( in(sK1,sK0)
          & in(sK2,sK3) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ? [X0,X1,X2,X3] :
      ( ( ~ in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
        | ~ in(X1,X0)
        | ~ in(X2,X3) )
      & ( in(ordered_pair(X2,X1),cartesian_product2(X3,X0))
        | ( in(X1,X0)
          & in(X2,X3) ) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ? [X0,X1,X3,X2] :
      ( ( ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
        | ~ in(X1,X0)
        | ~ in(X3,X2) )
      & ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
        | ( in(X1,X0)
          & in(X3,X2) ) ) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ? [X0,X1,X3,X2] :
      ( ( ~ in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
        | ~ in(X1,X0)
        | ~ in(X3,X2) )
      & ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
        | ( in(X1,X0)
          & in(X3,X2) ) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ? [X0,X1,X3,X2] :
      ( ( in(X1,X0)
        & in(X3,X2) )
    <~> in(ordered_pair(X3,X1),cartesian_product2(X2,X0)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ! [X1,X2,X3,X0] :
        ( in(ordered_pair(X3,X1),cartesian_product2(X2,X0))
      <=> ( in(X1,X0)
          & in(X3,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,negated_conjecture,
    ~ ! [X3,X1,X2,X0] :
        ( ( in(X1,X3)
          & in(X0,X2) )
      <=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f10,conjecture,
    ! [X3,X1,X2,X0] :
      ( ( in(X1,X3)
        & in(X0,X2) )
    <=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).

fof(f66,plain,
    ( spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f37,f58,f54]) ).

fof(f37,plain,
    ( in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
    | in(sK1,sK0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f65,plain,
    ( ~ spl9_1
    | ~ spl9_2
    | ~ spl9_3 ),
    inference(avatar_split_clause,[],[f38,f62,f58,f54]) ).

fof(f38,plain,
    ( ~ in(sK2,sK3)
    | ~ in(ordered_pair(sK2,sK1),cartesian_product2(sK3,sK0))
    | ~ in(sK1,sK0) ),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem    : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.08  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.26  % Computer : n003.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Tue Aug 30 14:42:52 EDT 2022
% 0.07/0.26  % CPUTime    : 
% 0.11/0.43  % (2208)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)
% 0.11/0.43  % (2200)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)
% 0.11/0.44  % (2200)Instruction limit reached!
% 0.11/0.44  % (2200)------------------------------
% 0.11/0.44  % (2200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.44  % (2200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.44  % (2200)Termination reason: Unknown
% 0.11/0.44  % (2200)Termination phase: Saturation
% 0.11/0.44  
% 0.11/0.44  % (2200)Memory used [KB]: 5884
% 0.11/0.44  % (2200)Time elapsed: 0.005 s
% 0.11/0.44  % (2200)Instructions burned: 3 (million)
% 0.11/0.44  % (2200)------------------------------
% 0.11/0.44  % (2200)------------------------------
% 0.11/0.44  % (2196)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)
% 0.11/0.44  % (2192)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)
% 0.11/0.44  % (2215)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)
% 0.11/0.44  % (2207)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)
% 0.11/0.44  % (2196)Refutation not found, incomplete strategy% (2196)------------------------------
% 0.11/0.44  % (2196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.44  % (2190)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)
% 0.11/0.44  % (2187)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)
% 0.11/0.44  % (2186)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)
% 0.11/0.44  % (2196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.44  % (2196)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.44  
% 0.11/0.44  % (2196)Memory used [KB]: 5884
% 0.11/0.44  % (2196)Time elapsed: 0.121 s
% 0.11/0.44  % (2196)Instructions burned: 3 (million)
% 0.11/0.44  % (2196)------------------------------
% 0.11/0.44  % (2196)------------------------------
% 0.11/0.45  % (2209)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)
% 0.11/0.45  % (2192)First to succeed.
% 0.11/0.45  % (2212)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)
% 0.11/0.45  % (2192)Refutation found. Thanks to Tanya!
% 0.11/0.45  % SZS status Theorem for theBenchmark
% 0.11/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45  % (2192)------------------------------
% 0.11/0.45  % (2192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.45  % (2192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.45  % (2192)Termination reason: Refutation
% 0.11/0.45  
% 0.11/0.45  % (2192)Memory used [KB]: 6012
% 0.11/0.45  % (2192)Time elapsed: 0.078 s
% 0.11/0.45  % (2192)Instructions burned: 5 (million)
% 0.11/0.45  % (2192)------------------------------
% 0.11/0.45  % (2192)------------------------------
% 0.11/0.45  % (2184)Success in time 0.176 s
%------------------------------------------------------------------------------