TSTP Solution File: SEU178+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU178+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 : n006.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 18:27:08 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   59 (  10 unt;   0 def)
%            Number of atoms       :  240 (  32 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  288 ( 107   ~; 101   |;  51   &)
%                                         (  14 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   1 con; 0-2 aty)
%            Number of variables   :  189 ( 147   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(subsumption_resolution,[],[f252,f111]) ).

fof(f111,plain,
    ~ in(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),cartesian_product2(relation_dom(sK3),relation_rng(sK3))),
    inference(unit_resulting_resolution,[],[f90,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ in(sK7(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ( in(sK7(X0,X1),X1)
          & ~ in(sK7(X0,X1),X0) ) )
      & ( ! [X3] :
            ( ~ in(X3,X1)
            | in(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f70,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X1)
          & ~ in(X2,X0) )
     => ( in(sK7(X0,X1),X1)
        & ~ in(sK7(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( in(X2,X1)
            & ~ in(X2,X0) ) )
      & ( ! [X3] :
            ( ~ in(X3,X1)
            | in(X3,X0) )
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f90,plain,
    ~ subset(sK3,cartesian_product2(relation_dom(sK3),relation_rng(sK3))),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ( relation(sK3)
    & ~ subset(sK3,cartesian_product2(relation_dom(sK3),relation_rng(sK3))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f49,f61]) ).

fof(f61,plain,
    ( ? [X0] :
        ( relation(X0)
        & ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) )
   => ( relation(sK3)
      & ~ subset(sK3,cartesian_product2(relation_dom(sK3),relation_rng(sK3))) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ? [X0] :
      ( relation(X0)
      & ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0] :
      ( relation(X0)
     => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).

fof(f252,plain,
    in(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),cartesian_product2(relation_dom(sK3),relation_rng(sK3))),
    inference(forward_demodulation,[],[f246,f115]) ).

fof(f115,plain,
    ordered_pair(sK5(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),sK6(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3))) = sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),
    inference(unit_resulting_resolution,[],[f91,f110,f93]) ).

fof(f93,plain,
    ! [X0,X4] :
      ( ~ in(X4,X0)
      | ~ relation(X0)
      | ordered_pair(sK5(X4),sK6(X4)) = X4 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ( relation(X0)
        | ( ! [X2,X3] : ordered_pair(X2,X3) != sK4(X0)
          & in(sK4(X0),X0) ) )
      & ( ! [X4] :
            ( ordered_pair(sK5(X4),sK6(X4)) = X4
            | ~ in(X4,X0) )
        | ~ relation(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f65,f67,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2,X3] : ordered_pair(X2,X3) != X1
          & in(X1,X0) )
     => ( ! [X3,X2] : ordered_pair(X2,X3) != sK4(X0)
        & in(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X4] :
      ( ? [X5,X6] : ordered_pair(X5,X6) = X4
     => ordered_pair(sK5(X4),sK6(X4)) = X4 ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ( relation(X0)
        | ? [X1] :
            ( ! [X2,X3] : ordered_pair(X2,X3) != X1
            & in(X1,X0) ) )
      & ( ! [X4] :
            ( ? [X5,X6] : ordered_pair(X5,X6) = X4
            | ~ in(X4,X0) )
        | ~ relation(X0) ) ),
    inference(rectify,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ( relation(X0)
        | ? [X1] :
            ( ! [X2,X3] : ordered_pair(X2,X3) != X1
            & in(X1,X0) ) )
      & ( ! [X1] :
            ( ? [X2,X3] : ordered_pair(X2,X3) = X1
            | ~ in(X1,X0) )
        | ~ relation(X0) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( relation(X0)
    <=> ! [X1] :
          ( ? [X2,X3] : ordered_pair(X2,X3) = X1
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( relation(X0)
    <=> ! [X1] :
          ~ ( ! [X3,X2] : ordered_pair(X2,X3) != X1
            & in(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).

fof(f110,plain,
    in(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),sK3),
    inference(unit_resulting_resolution,[],[f90,f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( in(sK7(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f91,plain,
    relation(sK3),
    inference(cnf_transformation,[],[f62]) ).

fof(f246,plain,
    in(ordered_pair(sK5(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),sK6(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3))),cartesian_product2(relation_dom(sK3),relation_rng(sK3))),
    inference(unit_resulting_resolution,[],[f174,f175,f89]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
      | ~ in(X0,X1)
      | ~ in(X3,X2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2,X3] :
      ( ( in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
        | ~ in(X3,X2)
        | ~ in(X0,X1) )
      & ( ( in(X3,X2)
          & in(X0,X1) )
        | ~ in(ordered_pair(X3,X0),cartesian_product2(X2,X1)) ) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X3,X1,X0,X2] :
      ( ( in(ordered_pair(X2,X3),cartesian_product2(X0,X1))
        | ~ in(X2,X0)
        | ~ in(X3,X1) )
      & ( ( in(X2,X0)
          & in(X3,X1) )
        | ~ in(ordered_pair(X2,X3),cartesian_product2(X0,X1)) ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X3,X1,X0,X2] :
      ( ( in(ordered_pair(X2,X3),cartesian_product2(X0,X1))
        | ~ in(X2,X0)
        | ~ in(X3,X1) )
      & ( ( in(X2,X0)
          & in(X3,X1) )
        | ~ in(ordered_pair(X2,X3),cartesian_product2(X0,X1)) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X3,X1,X0,X2] :
      ( in(ordered_pair(X2,X3),cartesian_product2(X0,X1))
    <=> ( in(X2,X0)
        & in(X3,X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1] :
      ( ( in(X1,X3)
        & in(X0,X2) )
    <=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f175,plain,
    in(sK6(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),relation_rng(sK3)),
    inference(unit_resulting_resolution,[],[f91,f110,f146]) ).

fof(f146,plain,
    ! [X2] :
      ( in(sK6(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),relation_rng(X2))
      | ~ relation(X2)
      | ~ in(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),X2) ),
    inference(superposition,[],[f106,f115]) ).

fof(f106,plain,
    ! [X2,X3,X0] :
      ( ~ in(ordered_pair(X3,X2),X0)
      | ~ relation(X0)
      | in(X2,relation_rng(X0)) ),
    inference(equality_resolution,[],[f86]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X3,X2),X0)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( in(ordered_pair(sK0(X0,X2),X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ! [X6] : ~ in(ordered_pair(X6,sK1(X0,X1)),X0)
                | ~ in(sK1(X0,X1),X1) )
              & ( in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
                | in(sK1(X0,X1),X1) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f56,f55,f54]) ).

fof(f54,plain,
    ! [X0,X2] :
      ( ? [X4] : in(ordered_pair(X4,X2),X0)
     => in(ordered_pair(sK0(X0,X2),X2),X0) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
            | ~ in(X5,X1) )
          & ( ? [X7] : in(ordered_pair(X7,X5),X0)
            | in(X5,X1) ) )
     => ( ( ! [X6] : ~ in(ordered_pair(X6,sK1(X0,X1)),X0)
          | ~ in(sK1(X0,X1),X1) )
        & ( ? [X7] : in(ordered_pair(X7,sK1(X0,X1)),X0)
          | in(sK1(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(X7,sK1(X0,X1)),X0)
     => in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | ~ in(X5,X1) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | in(X5,X1) ) ) ) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) ) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f174,plain,
    in(sK5(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),relation_dom(sK3)),
    inference(unit_resulting_resolution,[],[f91,f110,f145]) ).

fof(f145,plain,
    ! [X1] :
      ( in(sK5(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3)),relation_dom(X1))
      | ~ relation(X1)
      | ~ in(sK7(cartesian_product2(relation_dom(sK3),relation_rng(sK3)),sK3),X1) ),
    inference(superposition,[],[f108,f115]) ).

fof(f108,plain,
    ! [X2,X3,X0] :
      ( ~ in(ordered_pair(X2,X3),X0)
      | in(X2,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | in(X2,X1)
      | ~ in(ordered_pair(X2,X3),X0)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(ordered_pair(X2,sK9(X0,X2)),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ( ( ! [X6] : ~ in(ordered_pair(sK10(X0,X1),X6),X0)
                | ~ in(sK10(X0,X1),X1) )
              & ( in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0)
                | in(sK10(X0,X1),X1) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f76,f79,f78,f77]) ).

fof(f77,plain,
    ! [X0,X2] :
      ( ? [X4] : in(ordered_pair(X2,X4),X0)
     => in(ordered_pair(X2,sK9(X0,X2)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
            | ~ in(X5,X1) )
          & ( ? [X7] : in(ordered_pair(X5,X7),X0)
            | in(X5,X1) ) )
     => ( ( ! [X6] : ~ in(ordered_pair(sK10(X0,X1),X6),X0)
          | ~ in(sK10(X0,X1),X1) )
        & ( ? [X7] : in(ordered_pair(sK10(X0,X1),X7),X0)
          | in(sK10(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(sK10(X0,X1),X7),X0)
     => in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ? [X5] :
                ( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
                  | ~ in(X5,X1) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | in(X5,X1) ) ) ) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) ) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) )
        <=> relation_dom(X0) = X1 ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) )
        <=> relation_dom(X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU178+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 14:45:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (19214)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)
% 0.20/0.51  % (19225)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)
% 0.20/0.52  % (19204)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)
% 0.20/0.52  % (19209)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)
% 0.20/0.52  % (19206)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)
% 0.20/0.52  % (19216)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)
% 0.20/0.52  % (19213)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)
% 0.20/0.52  % (19201)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (19213)Refutation not found, incomplete strategy% (19213)------------------------------
% 0.20/0.52  % (19213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19213)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (19213)Memory used [KB]: 1535
% 0.20/0.52  % (19213)Time elapsed: 0.115 s
% 0.20/0.52  % (19213)Instructions burned: 4 (million)
% 0.20/0.52  % (19213)------------------------------
% 0.20/0.52  % (19213)------------------------------
% 0.20/0.52  % (19203)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)
% 0.20/0.52  % (19208)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)
% 0.20/0.52  % (19206)Instruction limit reached!
% 0.20/0.52  % (19206)------------------------------
% 0.20/0.52  % (19206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19217)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)
% 0.20/0.53  % (19205)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)
% 0.20/0.53  % (19215)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)
% 0.20/0.53  % (19216)Instruction limit reached!
% 0.20/0.53  % (19216)------------------------------
% 0.20/0.53  % (19216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19216)Termination reason: Unknown
% 0.20/0.53  % (19216)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (19216)Memory used [KB]: 6140
% 0.20/0.53  % (19216)Time elapsed: 0.082 s
% 0.20/0.53  % (19216)Instructions burned: 7 (million)
% 0.20/0.53  % (19216)------------------------------
% 0.20/0.53  % (19216)------------------------------
% 0.20/0.53  % (19212)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)
% 0.20/0.53  % (19215)Instruction limit reached!
% 0.20/0.53  % (19215)------------------------------
% 0.20/0.53  % (19215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19203)Instruction limit reached!
% 0.20/0.53  % (19203)------------------------------
% 0.20/0.53  % (19203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19227)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)
% 0.20/0.53  % (19203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19203)Termination reason: Unknown
% 0.20/0.53  % (19203)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (19212)Instruction limit reached!
% 0.20/0.53  % (19212)------------------------------
% 0.20/0.53  % (19212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19212)Termination reason: Unknown
% 0.20/0.53  % (19212)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (19212)Memory used [KB]: 6140
% 0.20/0.53  % (19212)Time elapsed: 0.132 s
% 0.20/0.53  % (19212)Instructions burned: 7 (million)
% 0.20/0.53  % (19212)------------------------------
% 0.20/0.53  % (19212)------------------------------
% 0.20/0.53  % (19203)Memory used [KB]: 1535
% 0.20/0.53  % (19203)Time elapsed: 0.004 s
% 0.20/0.53  % (19203)Instructions burned: 3 (million)
% 0.20/0.53  % (19203)------------------------------
% 0.20/0.53  % (19203)------------------------------
% 0.20/0.53  % (19222)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)
% 0.20/0.53  % (19202)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)
% 0.20/0.53  % (19230)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)
% 0.20/0.54  % (19229)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)
% 0.20/0.54  % (19202)Refutation not found, incomplete strategy% (19202)------------------------------
% 0.20/0.54  % (19202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19202)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (19202)Memory used [KB]: 6012
% 0.20/0.54  % (19202)Time elapsed: 0.118 s
% 0.20/0.54  % (19202)Instructions burned: 3 (million)
% 0.20/0.54  % (19202)------------------------------
% 0.20/0.54  % (19202)------------------------------
% 0.20/0.54  % (19230)Refutation not found, incomplete strategy% (19230)------------------------------
% 0.20/0.54  % (19230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19230)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (19230)Memory used [KB]: 6012
% 0.20/0.54  % (19230)Time elapsed: 0.128 s
% 0.20/0.54  % (19230)Instructions burned: 3 (million)
% 0.20/0.54  % (19230)------------------------------
% 0.20/0.54  % (19230)------------------------------
% 0.20/0.54  % (19207)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)
% 0.20/0.54  % (19215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19215)Termination reason: Unknown
% 0.20/0.54  % (19215)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (19215)Memory used [KB]: 6012
% 0.20/0.54  % (19215)Time elapsed: 0.004 s
% 0.20/0.54  % (19215)Instructions burned: 4 (million)
% 0.20/0.54  % (19215)------------------------------
% 0.20/0.54  % (19215)------------------------------
% 0.20/0.54  % (19220)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)
% 0.20/0.54  % (19206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19206)Termination reason: Unknown
% 0.20/0.54  % (19206)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (19206)Memory used [KB]: 1663
% 0.20/0.54  % (19206)Time elapsed: 0.121 s
% 0.20/0.54  % (19206)Instructions burned: 15 (million)
% 0.20/0.54  % (19206)------------------------------
% 0.20/0.54  % (19206)------------------------------
% 0.20/0.54  % (19221)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)
% 0.20/0.54  % (19204)First to succeed.
% 0.20/0.54  % (19219)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)
% 0.20/0.54  % (19204)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Theorem for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (19204)------------------------------
% 0.20/0.54  % (19204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19204)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (19204)Memory used [KB]: 6268
% 0.20/0.54  % (19204)Time elapsed: 0.123 s
% 0.20/0.54  % (19204)Instructions burned: 10 (million)
% 0.20/0.54  % (19204)------------------------------
% 0.20/0.54  % (19204)------------------------------
% 0.20/0.54  % (19200)Success in time 0.188 s
%------------------------------------------------------------------------------