TSTP Solution File: SET894+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET894+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 18:26:02 EDT 2022

% Result   : Theorem 3.57s 0.89s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  111 (  30 unt;   0 def)
%            Number of atoms       :  357 ( 149 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  393 ( 147   ~; 170   |;  54   &)
%                                         (  13 <=>;   8  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :  208 ( 175   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2016,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1651,f1657,f1667,f1989]) ).

fof(f1989,plain,
    ( ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(subsumption_resolution,[],[f1987,f1649]) ).

fof(f1649,plain,
    ( sF15 != sK1(sF16,sF13)
    | spl17_67 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f1648,plain,
    ( spl17_67
  <=> sF15 = sK1(sF16,sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).

fof(f1987,plain,
    ( sF15 = sK1(sF16,sF13)
    | ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1986,f113]) ).

fof(f113,plain,
    sF15 = unordered_pair(sF11,sF14),
    inference(superposition,[],[f94,f70]) ).

fof(f70,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f94,plain,
    sF15 = unordered_pair(sF14,sF11),
    introduced(function_definition,[]) ).

fof(f1986,plain,
    ( unordered_pair(sF11,sF14) = sK1(sF16,sF13)
    | ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1985,f90]) ).

fof(f90,plain,
    sF11 = singleton(sK9),
    introduced(function_definition,[]) ).

fof(f1985,plain,
    ( unordered_pair(singleton(sK9),sF14) = sK1(sF16,sF13)
    | ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1984,f114]) ).

fof(f114,plain,
    unordered_pair(sK8,sK9) = sF14,
    inference(superposition,[],[f93,f70]) ).

fof(f93,plain,
    unordered_pair(sK9,sK8) = sF14,
    introduced(function_definition,[]) ).

fof(f1984,plain,
    ( unordered_pair(singleton(sK9),unordered_pair(sK8,sK9)) = sK1(sF16,sF13)
    | ~ spl17_66
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1983,f1646]) ).

fof(f1646,plain,
    ( sK5(sF12,sF11,sK1(sF16,sF13)) = sK9
    | ~ spl17_66 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1644,plain,
    ( spl17_66
  <=> sK5(sF12,sF11,sK1(sF16,sF13)) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).

fof(f1983,plain,
    ( unordered_pair(singleton(sK5(sF12,sF11,sK1(sF16,sF13))),unordered_pair(sK8,sK5(sF12,sF11,sK1(sF16,sF13)))) = sK1(sF16,sF13)
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1982,f70]) ).

fof(f1982,plain,
    ( unordered_pair(singleton(sK5(sF12,sF11,sK1(sF16,sF13))),unordered_pair(sK5(sF12,sF11,sK1(sF16,sF13)),sK8)) = sK1(sF16,sF13)
    | spl17_67
    | ~ spl17_68 ),
    inference(forward_demodulation,[],[f1981,f1656]) ).

fof(f1656,plain,
    ( sK6(sF12,sF11,sK1(sF16,sF13)) = sK8
    | ~ spl17_68 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1654,plain,
    ( spl17_68
  <=> sK6(sF12,sF11,sK1(sF16,sF13)) = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).

fof(f1981,plain,
    ( unordered_pair(singleton(sK5(sF12,sF11,sK1(sF16,sF13))),unordered_pair(sK5(sF12,sF11,sK1(sF16,sF13)),sK6(sF12,sF11,sK1(sF16,sF13)))) = sK1(sF16,sF13)
    | spl17_67 ),
    inference(subsumption_resolution,[],[f1980,f96]) ).

fof(f96,plain,
    sF16 != sF13,
    inference(definition_folding,[],[f81,f95,f94,f90,f93,f92,f91,f90]) ).

fof(f91,plain,
    sF12 = singleton(sK8),
    introduced(function_definition,[]) ).

fof(f92,plain,
    sF13 = cartesian_product2(sF11,sF12),
    introduced(function_definition,[]) ).

fof(f95,plain,
    sF16 = singleton(sF15),
    introduced(function_definition,[]) ).

fof(f81,plain,
    cartesian_product2(singleton(sK9),singleton(sK8)) != singleton(unordered_pair(unordered_pair(sK9,sK8),singleton(sK9))),
    inference(definition_unfolding,[],[f71,f69]) ).

fof(f69,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(rectify,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f71,plain,
    singleton(ordered_pair(sK9,sK8)) != cartesian_product2(singleton(sK9),singleton(sK8)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    singleton(ordered_pair(sK9,sK8)) != cartesian_product2(singleton(sK9),singleton(sK8)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f23,f45]) ).

fof(f45,plain,
    ( ? [X0,X1] : singleton(ordered_pair(X1,X0)) != cartesian_product2(singleton(X1),singleton(X0))
   => singleton(ordered_pair(sK9,sK8)) != cartesian_product2(singleton(sK9),singleton(sK8)) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1] : singleton(ordered_pair(X1,X0)) != cartesian_product2(singleton(X1),singleton(X0)),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0,X1] : singleton(ordered_pair(X1,X0)) = cartesian_product2(singleton(X1),singleton(X0)),
    inference(rectify,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X1,X0] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1)),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X1,X0] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_zfmisc_1) ).

fof(f1980,plain,
    ( unordered_pair(singleton(sK5(sF12,sF11,sK1(sF16,sF13))),unordered_pair(sK5(sF12,sF11,sK1(sF16,sF13)),sK6(sF12,sF11,sK1(sF16,sF13)))) = sK1(sF16,sF13)
    | sF16 = sF13
    | spl17_67 ),
    inference(subsumption_resolution,[],[f1966,f1649]) ).

fof(f1966,plain,
    ( sF15 = sK1(sF16,sF13)
    | sF16 = sF13
    | unordered_pair(singleton(sK5(sF12,sF11,sK1(sF16,sF13))),unordered_pair(sK5(sF12,sF11,sK1(sF16,sF13)),sK6(sF12,sF11,sK1(sF16,sF13)))) = sK1(sF16,sF13) ),
    inference(resolution,[],[f536,f228]) ).

fof(f228,plain,
    ! [X20] :
      ( in(sK1(sF16,X20),X20)
      | sF16 = X20
      | sF15 = sK1(sF16,X20) ),
    inference(resolution,[],[f50,f119]) ).

fof(f119,plain,
    ! [X2] :
      ( ~ in(X2,sF16)
      | sF15 = X2 ),
    inference(superposition,[],[f89,f95]) ).

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

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

fof(f39,plain,
    ! [X0,X1] :
      ( ( singleton(X1) = X0
        | ( ( sK7(X0,X1) != X1
            | ~ in(sK7(X0,X1),X0) )
          & ( sK7(X0,X1) = X1
            | in(sK7(X0,X1),X0) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X0)
              | X1 != X3 )
            & ( X1 = X3
              | ~ in(X3,X0) ) )
        | singleton(X1) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( X1 != X2
            | ~ in(X2,X0) )
          & ( X1 = X2
            | in(X2,X0) ) )
     => ( ( sK7(X0,X1) != X1
          | ~ in(sK7(X0,X1),X0) )
        & ( sK7(X0,X1) = X1
          | in(sK7(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f36,plain,
    ! [X0,X1] :
      ( ( singleton(X1) = X0
        | ? [X2] :
            ( ( X1 != X2
              | ~ in(X2,X0) )
            & ( X1 = X2
              | in(X2,X0) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X0)
              | X1 != X2 )
            & ( X1 = X2
              | ~ in(X2,X0) ) )
        | singleton(X1) != X0 ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( singleton(X1) = X0
    <=> ! [X2] :
          ( in(X2,X0)
        <=> X1 = X2 ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( X0 = X2
        <=> in(X2,X1) )
    <=> singleton(X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

fof(f50,plain,
    ! [X0,X1] :
      ( in(sK1(X0,X1),X1)
      | in(sK1(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK1(X0,X1),X1)
          | ~ in(sK1(X0,X1),X0) )
        & ( in(sK1(X0,X1),X1)
          | in(sK1(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f26,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK1(X0,X1),X1)
          | ~ in(sK1(X0,X1),X0) )
        & ( in(sK1(X0,X1),X1)
          | in(sK1(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
        <=> in(X2,X0) )
     => X0 = X1 ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
        <=> in(X2,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(f536,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | unordered_pair(singleton(sK5(sF12,sF11,X0)),unordered_pair(sK5(sF12,sF11,X0),sK6(sF12,sF11,X0))) = X0 ),
    inference(forward_demodulation,[],[f534,f70]) ).

fof(f534,plain,
    ! [X0] :
      ( unordered_pair(unordered_pair(sK5(sF12,sF11,X0),sK6(sF12,sF11,X0)),singleton(sK5(sF12,sF11,X0))) = X0
      | ~ in(X0,sF13) ),
    inference(superposition,[],[f85,f92]) ).

fof(f85,plain,
    ! [X2,X0,X8] :
      ( ~ in(X8,cartesian_product2(X2,X0))
      | unordered_pair(unordered_pair(sK5(X0,X2,X8),sK6(X0,X2,X8)),singleton(sK5(X0,X2,X8))) = X8 ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X2,X0,X1,X8] :
      ( unordered_pair(unordered_pair(sK5(X0,X2,X8),sK6(X0,X2,X8)),singleton(sK5(X0,X2,X8))) = X8
      | ~ in(X8,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(definition_unfolding,[],[f53,f69]) ).

fof(f53,plain,
    ! [X2,X0,X1,X8] :
      ( ordered_pair(sK5(X0,X2,X8),sK6(X0,X2,X8)) = X8
      | ~ in(X8,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X2,X0) = X1
        | ( ( ! [X4,X5] :
                ( ~ in(X4,X2)
                | ordered_pair(X4,X5) != sK2(X0,X1,X2)
                | ~ in(X5,X0) )
            | ~ in(sK2(X0,X1,X2),X1) )
          & ( ( in(sK3(X0,X1,X2),X2)
              & ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)) = sK2(X0,X1,X2)
              & in(sK4(X0,X1,X2),X0) )
            | in(sK2(X0,X1,X2),X1) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X1)
              | ! [X9,X10] :
                  ( ~ in(X9,X2)
                  | ordered_pair(X9,X10) != X8
                  | ~ in(X10,X0) ) )
            & ( ( in(sK5(X0,X2,X8),X2)
                & ordered_pair(sK5(X0,X2,X8),sK6(X0,X2,X8)) = X8
                & in(sK6(X0,X2,X8),X0) )
              | ~ in(X8,X1) ) )
        | cartesian_product2(X2,X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f30,f33,f32,f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ! [X4,X5] :
                ( ~ in(X4,X2)
                | ordered_pair(X4,X5) != X3
                | ~ in(X5,X0) )
            | ~ in(X3,X1) )
          & ( ? [X6,X7] :
                ( in(X6,X2)
                & ordered_pair(X6,X7) = X3
                & in(X7,X0) )
            | in(X3,X1) ) )
     => ( ( ! [X5,X4] :
              ( ~ in(X4,X2)
              | ordered_pair(X4,X5) != sK2(X0,X1,X2)
              | ~ in(X5,X0) )
          | ~ in(sK2(X0,X1,X2),X1) )
        & ( ? [X7,X6] :
              ( in(X6,X2)
              & ordered_pair(X6,X7) = sK2(X0,X1,X2)
              & in(X7,X0) )
          | in(sK2(X0,X1,X2),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ? [X7,X6] :
          ( in(X6,X2)
          & ordered_pair(X6,X7) = sK2(X0,X1,X2)
          & in(X7,X0) )
     => ( in(sK3(X0,X1,X2),X2)
        & ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)) = sK2(X0,X1,X2)
        & in(sK4(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X2,X8] :
      ( ? [X11,X12] :
          ( in(X11,X2)
          & ordered_pair(X11,X12) = X8
          & in(X12,X0) )
     => ( in(sK5(X0,X2,X8),X2)
        & ordered_pair(sK5(X0,X2,X8),sK6(X0,X2,X8)) = X8
        & in(sK6(X0,X2,X8),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X2,X0) = X1
        | ? [X3] :
            ( ( ! [X4,X5] :
                  ( ~ in(X4,X2)
                  | ordered_pair(X4,X5) != X3
                  | ~ in(X5,X0) )
              | ~ in(X3,X1) )
            & ( ? [X6,X7] :
                  ( in(X6,X2)
                  & ordered_pair(X6,X7) = X3
                  & in(X7,X0) )
              | in(X3,X1) ) ) )
      & ( ! [X8] :
            ( ( in(X8,X1)
              | ! [X9,X10] :
                  ( ~ in(X9,X2)
                  | ordered_pair(X9,X10) != X8
                  | ~ in(X10,X0) ) )
            & ( ? [X11,X12] :
                  ( in(X11,X2)
                  & ordered_pair(X11,X12) = X8
                  & in(X12,X0) )
              | ~ in(X8,X1) ) )
        | cartesian_product2(X2,X0) != X1 ) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X2,X1,X0] :
      ( ( cartesian_product2(X0,X2) = X1
        | ? [X3] :
            ( ( ! [X5,X4] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X2) )
              | ~ in(X3,X1) )
            & ( ? [X5,X4] :
                  ( in(X5,X0)
                  & ordered_pair(X5,X4) = X3
                  & in(X4,X2) )
              | in(X3,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ! [X5,X4] :
                  ( ~ in(X5,X0)
                  | ordered_pair(X5,X4) != X3
                  | ~ in(X4,X2) ) )
            & ( ? [X5,X4] :
                  ( in(X5,X0)
                  & ordered_pair(X5,X4) = X3
                  & in(X4,X2) )
              | ~ in(X3,X1) ) )
        | cartesian_product2(X0,X2) != X1 ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X2,X1,X0] :
      ( cartesian_product2(X0,X2) = X1
    <=> ! [X3] :
          ( in(X3,X1)
        <=> ? [X5,X4] :
              ( in(X5,X0)
              & ordered_pair(X5,X4) = X3
              & in(X4,X2) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X2,X1] :
      ( cartesian_product2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ? [X5,X4] :
              ( ordered_pair(X4,X5) = X3
              & in(X4,X0)
              & in(X5,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f1667,plain,
    ~ spl17_67,
    inference(avatar_contradiction_clause,[],[f1666]) ).

fof(f1666,plain,
    ( $false
    | ~ spl17_67 ),
    inference(subsumption_resolution,[],[f1665,f96]) ).

fof(f1665,plain,
    ( sF16 = sF13
    | ~ spl17_67 ),
    inference(subsumption_resolution,[],[f1664,f100]) ).

fof(f100,plain,
    in(sF15,sF16),
    inference(superposition,[],[f88,f95]) ).

fof(f88,plain,
    ! [X3] : in(X3,singleton(X3)),
    inference(equality_resolution,[],[f87]) ).

fof(f87,plain,
    ! [X3,X0] :
      ( in(X3,X0)
      | singleton(X3) != X0 ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X3,X0,X1] :
      ( in(X3,X0)
      | X1 != X3
      | singleton(X1) != X0 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f1664,plain,
    ( ~ in(sF15,sF16)
    | sF16 = sF13
    | ~ spl17_67 ),
    inference(subsumption_resolution,[],[f1661,f506]) ).

fof(f506,plain,
    in(sF15,sF13),
    inference(subsumption_resolution,[],[f505,f98]) ).

fof(f98,plain,
    in(sK9,sF11),
    inference(superposition,[],[f88,f90]) ).

fof(f505,plain,
    ( in(sF15,sF13)
    | ~ in(sK9,sF11) ),
    inference(subsumption_resolution,[],[f494,f99]) ).

fof(f99,plain,
    in(sK8,sF12),
    inference(superposition,[],[f88,f91]) ).

fof(f494,plain,
    ( in(sF15,sF13)
    | ~ in(sK8,sF12)
    | ~ in(sK9,sF11) ),
    inference(superposition,[],[f370,f92]) ).

fof(f370,plain,
    ! [X10,X11] :
      ( in(sF15,cartesian_product2(X10,X11))
      | ~ in(sK9,X10)
      | ~ in(sK8,X11) ),
    inference(forward_demodulation,[],[f369,f94]) ).

fof(f369,plain,
    ! [X10,X11] :
      ( ~ in(sK8,X11)
      | in(unordered_pair(sF14,sF11),cartesian_product2(X10,X11))
      | ~ in(sK9,X10) ),
    inference(forward_demodulation,[],[f357,f90]) ).

fof(f357,plain,
    ! [X10,X11] :
      ( ~ in(sK9,X10)
      | ~ in(sK8,X11)
      | in(unordered_pair(sF14,singleton(sK9)),cartesian_product2(X10,X11)) ),
    inference(superposition,[],[f83,f93]) ).

fof(f83,plain,
    ! [X2,X10,X0,X9] :
      ( in(unordered_pair(unordered_pair(X9,X10),singleton(X9)),cartesian_product2(X2,X0))
      | ~ in(X9,X2)
      | ~ in(X10,X0) ),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X10,X0,X1,X9] :
      ( in(unordered_pair(unordered_pair(X9,X10),singleton(X9)),X1)
      | ~ in(X9,X2)
      | ~ in(X10,X0)
      | cartesian_product2(X2,X0) != X1 ),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( in(X8,X1)
      | ~ in(X9,X2)
      | unordered_pair(unordered_pair(X9,X10),singleton(X9)) != X8
      | ~ in(X10,X0)
      | cartesian_product2(X2,X0) != X1 ),
    inference(definition_unfolding,[],[f55,f69]) ).

fof(f55,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( in(X8,X1)
      | ~ in(X9,X2)
      | ordered_pair(X9,X10) != X8
      | ~ in(X10,X0)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f1661,plain,
    ( ~ in(sF15,sF13)
    | ~ in(sF15,sF16)
    | sF16 = sF13
    | ~ spl17_67 ),
    inference(superposition,[],[f51,f1650]) ).

fof(f1650,plain,
    ( sF15 = sK1(sF16,sF13)
    | ~ spl17_67 ),
    inference(avatar_component_clause,[],[f1648]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ in(sK1(X0,X1),X1)
      | X0 = X1
      | ~ in(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f1657,plain,
    ( spl17_68
    | spl17_67 ),
    inference(avatar_split_clause,[],[f1652,f1648,f1654]) ).

fof(f1652,plain,
    ( sF15 = sK1(sF16,sF13)
    | sK6(sF12,sF11,sK1(sF16,sF13)) = sK8 ),
    inference(subsumption_resolution,[],[f1635,f96]) ).

fof(f1635,plain,
    ( sF15 = sK1(sF16,sF13)
    | sF16 = sF13
    | sK6(sF12,sF11,sK1(sF16,sF13)) = sK8 ),
    inference(resolution,[],[f228,f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | sK6(sF12,sF11,X0) = sK8 ),
    inference(superposition,[],[f152,f92]) ).

fof(f152,plain,
    ! [X8,X9] :
      ( ~ in(X8,cartesian_product2(X9,sF12))
      | sK6(sF12,X9,X8) = sK8 ),
    inference(resolution,[],[f86,f118]) ).

fof(f118,plain,
    ! [X1] :
      ( ~ in(X1,sF12)
      | sK8 = X1 ),
    inference(superposition,[],[f89,f91]) ).

fof(f86,plain,
    ! [X2,X0,X8] :
      ( in(sK6(X0,X2,X8),X0)
      | ~ in(X8,cartesian_product2(X2,X0)) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK6(X0,X2,X8),X0)
      | ~ in(X8,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f1651,plain,
    ( spl17_66
    | spl17_67 ),
    inference(avatar_split_clause,[],[f1642,f1648,f1644]) ).

fof(f1642,plain,
    ( sF15 = sK1(sF16,sF13)
    | sK5(sF12,sF11,sK1(sF16,sF13)) = sK9 ),
    inference(subsumption_resolution,[],[f1636,f96]) ).

fof(f1636,plain,
    ( sF15 = sK1(sF16,sF13)
    | sF16 = sF13
    | sK5(sF12,sF11,sK1(sF16,sF13)) = sK9 ),
    inference(resolution,[],[f228,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ in(X0,sF13)
      | sK9 = sK5(sF12,sF11,X0) ),
    inference(superposition,[],[f142,f92]) ).

fof(f142,plain,
    ! [X6,X7] :
      ( ~ in(X6,cartesian_product2(sF11,X7))
      | sK9 = sK5(X7,sF11,X6) ),
    inference(resolution,[],[f84,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ in(X0,sF11)
      | sK9 = X0 ),
    inference(superposition,[],[f89,f90]) ).

fof(f84,plain,
    ! [X2,X0,X8] :
      ( in(sK5(X0,X2,X8),X2)
      | ~ in(X8,cartesian_product2(X2,X0)) ),
    inference(equality_resolution,[],[f54]) ).

fof(f54,plain,
    ! [X2,X0,X1,X8] :
      ( in(sK5(X0,X2,X8),X2)
      | ~ in(X8,X1)
      | cartesian_product2(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET894+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:30:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.54  % (12482)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.54  % (12473)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.43/0.55  % (12481)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.43/0.55  % (12474)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.43/0.56  % (12489)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 1.43/0.56  % (12474)Instruction limit reached!
% 1.43/0.56  % (12474)------------------------------
% 1.43/0.56  % (12474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56  TRYING [1]
% 1.43/0.56  % (12490)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.69/0.57  TRYING [2]
% 1.69/0.57  % (12474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (12474)Termination reason: Unknown
% 1.69/0.57  % (12474)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (12474)Memory used [KB]: 5500
% 1.69/0.57  % (12474)Time elapsed: 0.143 s
% 1.69/0.57  % (12474)Instructions burned: 7 (million)
% 1.69/0.57  % (12474)------------------------------
% 1.69/0.57  % (12474)------------------------------
% 1.69/0.57  TRYING [3]
% 1.69/0.60  % (12472)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.69/0.60  % (12467)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 1.69/0.60  TRYING [1]
% 1.69/0.61  % (12471)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.69/0.61  % (12492)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.69/0.61  % (12494)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.69/0.61  % (12491)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.69/0.61  % (12495)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.69/0.61  % (12496)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.69/0.61  % (12470)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.69/0.62  % (12476)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.69/0.62  % (12488)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.69/0.62  % (12487)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.69/0.62  % (12475)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.69/0.62  % (12483)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.69/0.62  % (12486)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.69/0.62  % (12484)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.69/0.62  % (12469)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.69/0.62  % (12480)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.69/0.62  % (12479)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.69/0.62  TRYING [1]
% 1.69/0.63  TRYING [2]
% 1.69/0.63  TRYING [2]
% 1.69/0.63  % (12468)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.69/0.63  % (12473)Instruction limit reached!
% 1.69/0.63  % (12473)------------------------------
% 1.69/0.63  % (12473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63  % (12478)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.69/0.63  % (12485)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.69/0.63  % (12473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63  % (12473)Termination reason: Unknown
% 1.69/0.63  % (12473)Termination phase: Finite model building SAT solving
% 1.69/0.63  
% 1.69/0.63  % (12473)Memory used [KB]: 7419
% 1.69/0.63  % (12473)Time elapsed: 0.175 s
% 1.69/0.63  % (12473)Instructions burned: 51 (million)
% 1.69/0.63  % (12473)------------------------------
% 1.69/0.63  % (12473)------------------------------
% 1.69/0.63  % (12468)Refutation not found, incomplete strategy% (12468)------------------------------
% 1.69/0.63  % (12468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63  % (12468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63  % (12468)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.63  
% 1.69/0.63  % (12468)Memory used [KB]: 5500
% 1.69/0.63  % (12468)Time elapsed: 0.165 s
% 1.69/0.63  % (12468)Instructions burned: 5 (million)
% 1.69/0.63  % (12468)------------------------------
% 1.69/0.63  % (12468)------------------------------
% 1.69/0.63  TRYING [3]
% 1.69/0.64  % (12493)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.69/0.64  % (12475)Instruction limit reached!
% 1.69/0.64  % (12475)------------------------------
% 1.69/0.64  % (12475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.64  % (12475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.64  % (12475)Termination reason: Unknown
% 1.69/0.64  % (12475)Termination phase: Property scanning
% 1.69/0.64  
% 1.69/0.64  % (12475)Memory used [KB]: 895
% 1.69/0.64  % (12475)Time elapsed: 0.003 s
% 1.69/0.64  % (12475)Instructions burned: 2 (million)
% 1.69/0.64  % (12475)------------------------------
% 1.69/0.64  % (12475)------------------------------
% 1.69/0.64  % (12477)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 2.32/0.65  TRYING [3]
% 2.55/0.70  % (12481)Instruction limit reached!
% 2.55/0.70  % (12481)------------------------------
% 2.55/0.70  % (12481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.70  % (12481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.70  % (12481)Termination reason: Unknown
% 2.55/0.70  % (12481)Termination phase: Saturation
% 2.55/0.70  
% 2.55/0.70  % (12481)Memory used [KB]: 6652
% 2.55/0.70  % (12481)Time elapsed: 0.083 s
% 2.55/0.70  % (12481)Instructions burned: 68 (million)
% 2.55/0.70  % (12481)------------------------------
% 2.55/0.70  % (12481)------------------------------
% 2.55/0.73  % (12469)Instruction limit reached!
% 2.55/0.73  % (12469)------------------------------
% 2.55/0.73  % (12469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73  % (12469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73  % (12469)Termination reason: Unknown
% 2.55/0.73  % (12469)Termination phase: Saturation
% 2.55/0.73  
% 2.55/0.73  % (12469)Memory used [KB]: 1407
% 2.55/0.73  % (12469)Time elapsed: 0.310 s
% 2.55/0.73  % (12469)Instructions burned: 38 (million)
% 2.55/0.73  % (12469)------------------------------
% 2.55/0.73  % (12469)------------------------------
% 2.55/0.73  % (12482)Instruction limit reached!
% 2.55/0.73  % (12482)------------------------------
% 2.55/0.73  % (12482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73  % (12482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73  % (12482)Termination reason: Unknown
% 2.55/0.73  % (12482)Termination phase: Saturation
% 2.55/0.73  
% 2.55/0.73  % (12482)Memory used [KB]: 2302
% 2.55/0.73  % (12482)Time elapsed: 0.276 s
% 2.55/0.73  % (12482)Instructions burned: 75 (million)
% 2.55/0.73  % (12482)------------------------------
% 2.55/0.73  % (12482)------------------------------
% 2.77/0.73  % (12484)Instruction limit reached!
% 2.77/0.73  % (12484)------------------------------
% 2.77/0.73  % (12484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73  % (12484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73  % (12484)Termination reason: Unknown
% 2.77/0.73  % (12484)Termination phase: Finite model building SAT solving
% 2.77/0.73  
% 2.77/0.73  % (12484)Memory used [KB]: 7931
% 2.77/0.73  % (12484)Time elapsed: 0.212 s
% 2.77/0.73  % (12484)Instructions burned: 61 (million)
% 2.77/0.73  % (12484)------------------------------
% 2.77/0.73  % (12484)------------------------------
% 2.77/0.74  % (12472)Instruction limit reached!
% 2.77/0.74  % (12472)------------------------------
% 2.77/0.74  % (12472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.74  % (12472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.74  % (12472)Termination reason: Unknown
% 2.77/0.74  % (12472)Termination phase: Saturation
% 2.77/0.74  
% 2.77/0.74  % (12472)Memory used [KB]: 5756
% 2.77/0.74  % (12472)Time elapsed: 0.307 s
% 2.77/0.74  % (12472)Instructions burned: 48 (million)
% 2.77/0.74  % (12472)------------------------------
% 2.77/0.74  % (12472)------------------------------
% 3.01/0.75  % (12470)Instruction limit reached!
% 3.01/0.75  % (12470)------------------------------
% 3.01/0.75  % (12470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.75  % (12470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.75  % (12470)Termination reason: Unknown
% 3.01/0.75  % (12470)Termination phase: Saturation
% 3.01/0.75  
% 3.01/0.75  % (12470)Memory used [KB]: 6012
% 3.01/0.75  % (12470)Time elapsed: 0.314 s
% 3.01/0.75  % (12470)Instructions burned: 52 (million)
% 3.01/0.75  % (12470)------------------------------
% 3.01/0.75  % (12470)------------------------------
% 3.01/0.75  % (12476)Instruction limit reached!
% 3.01/0.75  % (12476)------------------------------
% 3.01/0.75  % (12476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.75  % (12476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.75  % (12476)Termination reason: Unknown
% 3.01/0.75  % (12476)Termination phase: Saturation
% 3.01/0.75  
% 3.01/0.75  % (12476)Memory used [KB]: 1791
% 3.01/0.75  % (12476)Time elapsed: 0.295 s
% 3.01/0.75  % (12476)Instructions burned: 52 (million)
% 3.01/0.75  % (12476)------------------------------
% 3.01/0.75  % (12476)------------------------------
% 3.01/0.76  TRYING [4]
% 3.01/0.77  % (12471)Instruction limit reached!
% 3.01/0.77  % (12471)------------------------------
% 3.01/0.77  % (12471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.77  % (12471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.77  % (12471)Termination reason: Unknown
% 3.01/0.77  % (12471)Termination phase: Saturation
% 3.01/0.77  
% 3.01/0.77  % (12471)Memory used [KB]: 6140
% 3.01/0.77  % (12471)Time elapsed: 0.333 s
% 3.01/0.77  % (12471)Instructions burned: 51 (million)
% 3.01/0.77  % (12471)------------------------------
% 3.01/0.77  % (12471)------------------------------
% 3.01/0.77  % (12501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.01/0.79  % (12477)Instruction limit reached!
% 3.01/0.79  % (12477)------------------------------
% 3.01/0.79  % (12477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.79  % (12477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.79  % (12477)Termination reason: Unknown
% 3.01/0.79  % (12477)Termination phase: Saturation
% 3.01/0.79  
% 3.01/0.79  % (12477)Memory used [KB]: 6396
% 3.01/0.79  % (12477)Time elapsed: 0.347 s
% 3.01/0.79  % (12477)Instructions burned: 51 (million)
% 3.01/0.79  % (12477)------------------------------
% 3.01/0.79  % (12477)------------------------------
% 3.01/0.79  % (12502)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.01/0.81  % (12493)Instruction limit reached!
% 3.01/0.81  % (12493)------------------------------
% 3.01/0.81  % (12493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.81  % (12493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.81  % (12493)Termination reason: Unknown
% 3.01/0.81  % (12493)Termination phase: Saturation
% 3.01/0.81  
% 3.01/0.81  % (12493)Memory used [KB]: 6780
% 3.01/0.81  % (12493)Time elapsed: 0.053 s
% 3.01/0.81  % (12493)Instructions burned: 68 (million)
% 3.01/0.81  % (12493)------------------------------
% 3.01/0.81  % (12493)------------------------------
% 3.34/0.84  % (12483)Instruction limit reached!
% 3.34/0.84  % (12483)------------------------------
% 3.34/0.84  % (12483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.84  % (12483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.84  % (12483)Termination reason: Unknown
% 3.34/0.84  % (12483)Termination phase: Saturation
% 3.34/0.84  
% 3.34/0.84  % (12483)Memory used [KB]: 6012
% 3.34/0.84  % (12483)Time elapsed: 0.422 s
% 3.34/0.84  % (12483)Instructions burned: 99 (million)
% 3.34/0.84  % (12483)------------------------------
% 3.34/0.84  % (12483)------------------------------
% 3.57/0.87  % (12486)Instruction limit reached!
% 3.57/0.87  % (12486)------------------------------
% 3.57/0.87  % (12486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.87  % (12486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.87  % (12486)Termination reason: Unknown
% 3.57/0.87  % (12486)Termination phase: Saturation
% 3.57/0.87  
% 3.57/0.87  % (12486)Memory used [KB]: 2558
% 3.57/0.87  % (12486)Time elapsed: 0.450 s
% 3.57/0.87  % (12486)Instructions burned: 101 (million)
% 3.57/0.87  % (12486)------------------------------
% 3.57/0.87  % (12486)------------------------------
% 3.57/0.88  % (12503)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.57/0.88  % (12492)First to succeed.
% 3.57/0.88  % (12504)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.57/0.89  % (12492)Refutation found. Thanks to Tanya!
% 3.57/0.89  % SZS status Theorem for theBenchmark
% 3.57/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 3.57/0.89  % (12492)------------------------------
% 3.57/0.89  % (12492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.89  % (12492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.89  % (12492)Termination reason: Refutation
% 3.57/0.89  
% 3.57/0.89  % (12492)Memory used [KB]: 6908
% 3.57/0.89  % (12492)Time elapsed: 0.400 s
% 3.57/0.89  % (12492)Instructions burned: 99 (million)
% 3.57/0.89  % (12492)------------------------------
% 3.57/0.89  % (12492)------------------------------
% 3.57/0.89  % (12466)Success in time 0.525 s
%------------------------------------------------------------------------------