TSTP Solution File: SEU166+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU166+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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:27:02 EDT 2022

% Result   : Theorem 1.37s 0.55s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (   4 unt;   0 def)
%            Number of atoms       :  233 (  40 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  259 (  88   ~;  97   |;  55   &)
%                                         (   9 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  152 ( 117   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f114,f166]) ).

fof(f166,plain,
    spl9_2,
    inference(avatar_contradiction_clause,[],[f165]) ).

fof(f165,plain,
    ( $false
    | spl9_2 ),
    inference(subsumption_resolution,[],[f164,f116]) ).

fof(f116,plain,
    ( ~ in(sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)),cartesian_product2(sK8,sK7))
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f61,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK0(X0,X1),X1)
        & in(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) )
      & ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X0)
          | ~ in(X2,X1) ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) )
    <=> subset(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f61,plain,
    ( ~ subset(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl9_2
  <=> subset(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f164,plain,
    ( in(sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)),cartesian_product2(sK8,sK7))
    | spl9_2 ),
    inference(forward_demodulation,[],[f156,f117]) ).

fof(f117,plain,
    ( ordered_pair(sK4(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))),sK5(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)))) = sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f115,f49]) ).

fof(f49,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8 ),
    inference(equality_resolution,[],[f42]) ).

fof(f42,plain,
    ! [X2,X0,X1,X8] :
      ( ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ( ( ~ in(sK1(X0,X1,X2),X2)
            | ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK1(X0,X1,X2)
                | ~ in(X4,X0)
                | ~ in(X5,X1) ) )
          & ( in(sK1(X0,X1,X2),X2)
            | ( ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)) = sK1(X0,X1,X2)
              & in(sK2(X0,X1,X2),X0)
              & in(sK3(X0,X1,X2),X1) ) ) ) )
      & ( ! [X8] :
            ( ( ( ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8
                & in(sK4(X0,X1,X8),X0)
                & in(sK5(X0,X1,X8),X1) )
              | ~ in(X8,X2) )
            & ( in(X8,X2)
              | ! [X11,X12] :
                  ( ordered_pair(X11,X12) != X8
                  | ~ in(X11,X0)
                  | ~ in(X12,X1) ) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f27,f30,f29,f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X2)
            | ! [X4,X5] :
                ( ordered_pair(X4,X5) != X3
                | ~ in(X4,X0)
                | ~ in(X5,X1) ) )
          & ( in(X3,X2)
            | ? [X6,X7] :
                ( ordered_pair(X6,X7) = X3
                & in(X6,X0)
                & in(X7,X1) ) ) )
     => ( ( ~ in(sK1(X0,X1,X2),X2)
          | ! [X5,X4] :
              ( ordered_pair(X4,X5) != sK1(X0,X1,X2)
              | ~ in(X4,X0)
              | ~ in(X5,X1) ) )
        & ( in(sK1(X0,X1,X2),X2)
          | ? [X7,X6] :
              ( ordered_pair(X6,X7) = sK1(X0,X1,X2)
              & in(X6,X0)
              & in(X7,X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( ordered_pair(X6,X7) = sK1(X0,X1,X2)
          & in(X6,X0)
          & in(X7,X1) )
     => ( ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)) = sK1(X0,X1,X2)
        & in(sK2(X0,X1,X2),X0)
        & in(sK3(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X1,X8] :
      ( ? [X9,X10] :
          ( ordered_pair(X9,X10) = X8
          & in(X9,X0)
          & in(X10,X1) )
     => ( ordered_pair(sK4(X0,X1,X8),sK5(X0,X1,X8)) = X8
        & in(sK4(X0,X1,X8),X0)
        & in(sK5(X0,X1,X8),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X4,X0)
                  | ~ in(X5,X1) ) )
            & ( in(X3,X2)
              | ? [X6,X7] :
                  ( ordered_pair(X6,X7) = X3
                  & in(X6,X0)
                  & in(X7,X1) ) ) ) )
      & ( ! [X8] :
            ( ( ? [X9,X10] :
                  ( ordered_pair(X9,X10) = X8
                  & in(X9,X0)
                  & in(X10,X1) )
              | ~ in(X8,X2) )
            & ( in(X8,X2)
              | ! [X11,X12] :
                  ( ordered_pair(X11,X12) != X8
                  | ~ in(X11,X0)
                  | ~ in(X12,X1) ) ) )
        | cartesian_product2(X0,X1) != X2 ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0,X2] :
      ( ( cartesian_product2(X1,X0) = X2
        | ? [X3] :
            ( ( ~ in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X4,X1)
                  | ~ in(X5,X0) ) )
            & ( in(X3,X2)
              | ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X4,X1)
                  & in(X5,X0) ) ) ) )
      & ( ! [X3] :
            ( ( ? [X4,X5] :
                  ( ordered_pair(X4,X5) = X3
                  & in(X4,X1)
                  & in(X5,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X4,X1)
                  | ~ in(X5,X0) ) ) )
        | cartesian_product2(X1,X0) != X2 ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X1,X0,X2] :
      ( cartesian_product2(X1,X0) = X2
    <=> ! [X3] :
          ( ? [X4,X5] :
              ( ordered_pair(X4,X5) = X3
              & in(X4,X1)
              & in(X5,X0) )
        <=> in(X3,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0,X2] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( ? [X4,X5] :
              ( ordered_pair(X4,X5) = X3
              & in(X4,X0)
              & in(X5,X1) )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f115,plain,
    ( in(sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)),cartesian_product2(sK8,sK6))
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f61,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f156,plain,
    ( in(ordered_pair(sK4(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))),sK5(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7)))),cartesian_product2(sK8,sK7))
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f118,f130,f53]) ).

fof(f53,plain,
    ! [X0,X11,X1,X12] :
      ( in(ordered_pair(X11,X12),cartesian_product2(X0,X1))
      | ~ in(X11,X0)
      | ~ in(X12,X1) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X11,X1,X12] :
      ( in(ordered_pair(X11,X12),X2)
      | ~ in(X11,X0)
      | ~ in(X12,X1)
      | cartesian_product2(X0,X1) != X2 ),
    inference(equality_resolution,[],[f39]) ).

fof(f39,plain,
    ! [X2,X0,X11,X1,X8,X12] :
      ( in(X8,X2)
      | ordered_pair(X11,X12) != X8
      | ~ in(X11,X0)
      | ~ in(X12,X1)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f130,plain,
    ( in(sK5(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))),sK7)
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f48,f119,f35]) ).

fof(f35,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | in(X3,X1)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f119,plain,
    ( in(sK5(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))),sK6)
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f115,f51]) ).

fof(f51,plain,
    ! [X0,X1,X8] :
      ( in(sK5(X0,X1,X8),X1)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK5(X0,X1,X8),X1)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f48,plain,
    subset(sK6,sK7),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( subset(sK6,sK7)
    & ( ~ subset(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))
      | ~ subset(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f32,f33]) ).

fof(f33,plain,
    ( ? [X0,X1,X2] :
        ( subset(X0,X1)
        & ( ~ subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
          | ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) )
   => ( subset(sK6,sK7)
      & ( ~ subset(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))
        | ~ subset(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ? [X0,X1,X2] :
      ( subset(X0,X1)
      & ( ~ subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
        | ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ? [X1,X2,X0] :
      ( subset(X1,X2)
      & ( ~ subset(cartesian_product2(X0,X1),cartesian_product2(X0,X2))
        | ~ subset(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X1,X0,X2] :
        ( subset(X1,X2)
       => ( subset(cartesian_product2(X0,X1),cartesian_product2(X0,X2))
          & subset(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( subset(X0,X1)
       => ( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
          & subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X2,X0,X1] :
      ( subset(X0,X1)
     => ( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
        & subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).

fof(f118,plain,
    ( in(sK4(sK8,sK6,sK0(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))),sK8)
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f115,f50]) ).

fof(f50,plain,
    ! [X0,X1,X8] :
      ( in(sK4(X0,X1,X8),X0)
      | ~ in(X8,cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f41]) ).

fof(f41,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK4(X0,X1,X8),X0)
      | ~ in(X8,X2)
      | cartesian_product2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f114,plain,
    spl9_1,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | spl9_1 ),
    inference(subsumption_resolution,[],[f112,f64]) ).

fof(f64,plain,
    ( ~ in(sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)),cartesian_product2(sK7,sK8))
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f57,f37]) ).

fof(f57,plain,
    ( ~ subset(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl9_1
  <=> subset(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f112,plain,
    ( in(sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)),cartesian_product2(sK7,sK8))
    | spl9_1 ),
    inference(forward_demodulation,[],[f111,f65]) ).

fof(f65,plain,
    ( sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)) = ordered_pair(sK4(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))),sK5(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))))
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f63,f49]) ).

fof(f63,plain,
    ( in(sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)),cartesian_product2(sK6,sK8))
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f57,f36]) ).

fof(f111,plain,
    ( in(ordered_pair(sK4(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))),sK5(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)))),cartesian_product2(sK7,sK8))
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f67,f73,f53]) ).

fof(f73,plain,
    ( in(sK4(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))),sK7)
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f48,f66,f35]) ).

fof(f66,plain,
    ( in(sK4(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))),sK6)
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f63,f50]) ).

fof(f67,plain,
    ( in(sK5(sK6,sK8,sK0(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8))),sK8)
    | spl9_1 ),
    inference(unit_resulting_resolution,[],[f63,f51]) ).

fof(f62,plain,
    ( ~ spl9_1
    | ~ spl9_2 ),
    inference(avatar_split_clause,[],[f47,f59,f55]) ).

fof(f47,plain,
    ( ~ subset(cartesian_product2(sK8,sK6),cartesian_product2(sK8,sK7))
    | ~ subset(cartesian_product2(sK6,sK8),cartesian_product2(sK7,sK8)) ),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU166+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:29:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (14824)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (14848)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)
% 0.19/0.51  % (14831)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)
% 0.19/0.51  % (14848)Refutation not found, incomplete strategy% (14848)------------------------------
% 0.19/0.51  % (14848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (14848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (14848)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (14848)Memory used [KB]: 1535
% 0.19/0.51  % (14848)Time elapsed: 0.079 s
% 0.19/0.51  % (14848)Instructions burned: 6 (million)
% 0.19/0.51  % (14848)------------------------------
% 0.19/0.51  % (14848)------------------------------
% 0.19/0.51  % (14832)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)
% 0.19/0.52  % (14841)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  % (14826)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  % (14836)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  % (14849)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  % (14826)Instruction limit reached!
% 0.19/0.52  % (14826)------------------------------
% 0.19/0.52  % (14826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (14826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (14826)Termination reason: Unknown
% 0.19/0.52  % (14826)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (14826)Memory used [KB]: 5884
% 0.19/0.52  % (14826)Time elapsed: 0.127 s
% 0.19/0.52  % (14826)Instructions burned: 3 (million)
% 0.19/0.52  % (14826)------------------------------
% 0.19/0.52  % (14826)------------------------------
% 0.19/0.53  % (14853)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)
% 0.19/0.53  % (14852)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  % (14844)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)
% 0.19/0.53  % (14827)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)
% 0.19/0.53  % (14830)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)
% 0.19/0.53  % (14828)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)
% 0.19/0.53  % (14825)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)
% 0.19/0.53  % (14843)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  % (14844)Refutation not found, incomplete strategy% (14844)------------------------------
% 0.19/0.53  % (14844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (14844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (14844)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (14844)Memory used [KB]: 5884
% 0.19/0.53  % (14844)Time elapsed: 0.138 s
% 0.19/0.53  % (14844)Instructions burned: 2 (million)
% 0.19/0.53  % (14844)------------------------------
% 0.19/0.53  % (14844)------------------------------
% 0.19/0.53  % (14843)Instruction limit reached!
% 0.19/0.53  % (14843)------------------------------
% 0.19/0.53  % (14843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (14843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (14843)Termination reason: Unknown
% 0.19/0.53  % (14843)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (14843)Memory used [KB]: 5884
% 0.19/0.53  % (14843)Time elapsed: 0.003 s
% 0.19/0.53  % (14843)Instructions burned: 3 (million)
% 0.19/0.53  % (14843)------------------------------
% 0.19/0.53  % (14843)------------------------------
% 0.19/0.53  % (14825)Refutation not found, incomplete strategy% (14825)------------------------------
% 0.19/0.53  % (14825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (14825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (14825)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (14825)Memory used [KB]: 6012
% 0.19/0.53  % (14825)Time elapsed: 0.133 s
% 0.19/0.53  % (14825)Instructions burned: 3 (million)
% 0.19/0.53  % (14825)------------------------------
% 0.19/0.53  % (14825)------------------------------
% 0.19/0.53  % (14847)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)
% 0.19/0.54  % (14836)Instruction limit reached!
% 0.19/0.54  % (14836)------------------------------
% 0.19/0.54  % (14836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (14836)Termination reason: Unknown
% 0.19/0.54  % (14836)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (14836)Memory used [KB]: 6012
% 0.19/0.54  % (14836)Time elapsed: 0.142 s
% 0.19/0.54  % (14836)Instructions burned: 8 (million)
% 0.19/0.54  % (14836)------------------------------
% 0.19/0.54  % (14836)------------------------------
% 0.19/0.54  % (14845)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)
% 0.19/0.54  % (14842)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54  % (14829)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)
% 0.19/0.54  % (14839)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)
% 0.19/0.54  % (14835)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)
% 0.19/0.54  % (14839)Instruction limit reached!
% 0.19/0.54  % (14839)------------------------------
% 0.19/0.54  % (14839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (14839)Termination reason: Unknown
% 0.19/0.54  % (14839)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (14839)Memory used [KB]: 6012
% 0.19/0.54  % (14839)Time elapsed: 0.003 s
% 0.19/0.54  % (14839)Instructions burned: 3 (million)
% 0.19/0.54  % (14839)------------------------------
% 0.19/0.54  % (14839)------------------------------
% 0.19/0.54  % (14835)Refutation not found, incomplete strategy% (14835)------------------------------
% 0.19/0.54  % (14835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (14835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (14835)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (14835)Memory used [KB]: 6012
% 0.19/0.54  % (14835)Time elapsed: 0.150 s
% 0.19/0.54  % (14835)Instructions burned: 4 (million)
% 0.19/0.54  % (14835)------------------------------
% 0.19/0.54  % (14835)------------------------------
% 0.19/0.54  % (14837)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)
% 0.19/0.54  % (14833)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)
% 0.19/0.55  % (14837)Refutation not found, incomplete strategy% (14837)------------------------------
% 0.19/0.55  % (14837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (14837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (14837)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (14837)Memory used [KB]: 1407
% 0.19/0.55  % (14837)Time elapsed: 0.148 s
% 0.19/0.55  % (14837)Instructions burned: 3 (million)
% 0.19/0.55  % (14837)------------------------------
% 0.19/0.55  % (14837)------------------------------
% 0.19/0.55  % (14854)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)
% 0.19/0.55  % (14827)First to succeed.
% 0.19/0.55  % (14854)Refutation not found, incomplete strategy% (14854)------------------------------
% 0.19/0.55  % (14854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (14854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (14854)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55  
% 0.19/0.55  % (14854)Memory used [KB]: 5884
% 0.19/0.55  % (14854)Time elapsed: 0.147 s
% 0.19/0.55  % (14854)Instructions burned: 2 (million)
% 0.19/0.55  % (14854)------------------------------
% 0.19/0.55  % (14854)------------------------------
% 0.19/0.55  % (14855)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)
% 0.19/0.55  % (14850)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)
% 0.19/0.55  % (14824)Also succeeded, but the first one will report.
% 1.37/0.55  % (14827)Refutation found. Thanks to Tanya!
% 1.37/0.55  % SZS status Theorem for theBenchmark
% 1.37/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55  % (14827)------------------------------
% 1.37/0.55  % (14827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (14827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (14827)Termination reason: Refutation
% 1.37/0.55  
% 1.37/0.55  % (14827)Memory used [KB]: 6140
% 1.37/0.55  % (14827)Time elapsed: 0.137 s
% 1.37/0.55  % (14827)Instructions burned: 7 (million)
% 1.37/0.55  % (14827)------------------------------
% 1.37/0.55  % (14827)------------------------------
% 1.37/0.55  % (14820)Success in time 0.194 s
%------------------------------------------------------------------------------