TSTP Solution File: SWC101+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n023.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 18:38:48 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   57 (  13 unt;   0 def)
%            Number of atoms       :  390 ( 152 equ)
%            Maximal formula atoms :   40 (   6 avg)
%            Number of connectives :  521 ( 188   ~; 154   |; 151   &)
%                                         (   8 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  123 (  77   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f698,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f259,f260,f597,f690]) ).

fof(f690,plain,
    spl14_1,
    inference(avatar_contradiction_clause,[],[f689]) ).

fof(f689,plain,
    ( $false
    | spl14_1 ),
    inference(subsumption_resolution,[],[f688,f245]) ).

fof(f245,plain,
    ( ~ frontsegP(sK9,sK8)
    | spl14_1 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl14_1
  <=> frontsegP(sK9,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f688,plain,
    frontsegP(sK9,sK8),
    inference(subsumption_resolution,[],[f687,f226]) ).

fof(f226,plain,
    ssList(sK9),
    inference(definition_unfolding,[],[f198,f192]) ).

fof(f192,plain,
    sK7 = sK9,
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ssList(sK7)
    & ssList(sK8)
    & equalelemsP(sK8)
    & ssList(sK10)
    & app(sK8,sK10) = sK9
    & ! [X5] :
        ( ~ ssItem(X5)
        | ! [X6] :
            ( app(cons(X5,nil),X6) != sK10
            | ! [X7] :
                ( app(X7,cons(X5,nil)) != sK8
                | ~ ssList(X7) )
            | ~ ssList(X6) ) )
    & sK7 = sK9
    & ssList(sK9)
    & ( ~ neq(sK6,nil)
      | ~ frontsegP(sK7,sK6) )
    & sK6 = sK8
    & ( nil != sK7
      | nil != sK6 )
    & ( nil = sK9
      | nil != sK8 )
    & ssList(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f100,f150,f149,f148,f147,f146]) ).

fof(f146,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ? [X4] :
                        ( equalelemsP(X2)
                        & ssList(X4)
                        & app(X2,X4) = X3
                        & ! [X5] :
                            ( ~ ssItem(X5)
                            | ! [X6] :
                                ( app(cons(X5,nil),X6) != X4
                                | ! [X7] :
                                    ( app(X7,cons(X5,nil)) != X2
                                    | ~ ssList(X7) )
                                | ~ ssList(X6) ) ) )
                    & X1 = X3
                    & ssList(X3)
                    & ( ~ neq(X0,nil)
                      | ~ frontsegP(X1,X0) )
                    & X0 = X2
                    & ( nil != X1
                      | nil != X0 )
                    & ( nil = X3
                      | nil != X2 ) ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( equalelemsP(X2)
                      & ssList(X4)
                      & app(X2,X4) = X3
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6) ) ) )
                  & X1 = X3
                  & ssList(X3)
                  & ( ~ neq(sK6,nil)
                    | ~ frontsegP(X1,sK6) )
                  & sK6 = X2
                  & ( nil != X1
                    | nil != sK6 )
                  & ( nil = X3
                    | nil != X2 ) ) ) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ? [X4] :
                    ( equalelemsP(X2)
                    & ssList(X4)
                    & app(X2,X4) = X3
                    & ! [X5] :
                        ( ~ ssItem(X5)
                        | ! [X6] :
                            ( app(cons(X5,nil),X6) != X4
                            | ! [X7] :
                                ( app(X7,cons(X5,nil)) != X2
                                | ~ ssList(X7) )
                            | ~ ssList(X6) ) ) )
                & X1 = X3
                & ssList(X3)
                & ( ~ neq(sK6,nil)
                  | ~ frontsegP(X1,sK6) )
                & sK6 = X2
                & ( nil != X1
                  | nil != sK6 )
                & ( nil = X3
                  | nil != X2 ) ) ) )
   => ( ssList(sK7)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( equalelemsP(X2)
                  & ssList(X4)
                  & app(X2,X4) = X3
                  & ! [X5] :
                      ( ~ ssItem(X5)
                      | ! [X6] :
                          ( app(cons(X5,nil),X6) != X4
                          | ! [X7] :
                              ( app(X7,cons(X5,nil)) != X2
                              | ~ ssList(X7) )
                          | ~ ssList(X6) ) ) )
              & sK7 = X3
              & ssList(X3)
              & ( ~ neq(sK6,nil)
                | ~ frontsegP(sK7,sK6) )
              & sK6 = X2
              & ( nil != sK7
                | nil != sK6 )
              & ( nil = X3
                | nil != X2 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ? [X4] :
                ( equalelemsP(X2)
                & ssList(X4)
                & app(X2,X4) = X3
                & ! [X5] :
                    ( ~ ssItem(X5)
                    | ! [X6] :
                        ( app(cons(X5,nil),X6) != X4
                        | ! [X7] :
                            ( app(X7,cons(X5,nil)) != X2
                            | ~ ssList(X7) )
                        | ~ ssList(X6) ) ) )
            & sK7 = X3
            & ssList(X3)
            & ( ~ neq(sK6,nil)
              | ~ frontsegP(sK7,sK6) )
            & sK6 = X2
            & ( nil != sK7
              | nil != sK6 )
            & ( nil = X3
              | nil != X2 ) ) )
   => ( ssList(sK8)
      & ? [X3] :
          ( ? [X4] :
              ( equalelemsP(sK8)
              & ssList(X4)
              & app(sK8,X4) = X3
              & ! [X5] :
                  ( ~ ssItem(X5)
                  | ! [X6] :
                      ( app(cons(X5,nil),X6) != X4
                      | ! [X7] :
                          ( app(X7,cons(X5,nil)) != sK8
                          | ~ ssList(X7) )
                      | ~ ssList(X6) ) ) )
          & sK7 = X3
          & ssList(X3)
          & ( ~ neq(sK6,nil)
            | ~ frontsegP(sK7,sK6) )
          & sK6 = sK8
          & ( nil != sK7
            | nil != sK6 )
          & ( nil = X3
            | nil != sK8 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( equalelemsP(sK8)
            & ssList(X4)
            & app(sK8,X4) = X3
            & ! [X5] :
                ( ~ ssItem(X5)
                | ! [X6] :
                    ( app(cons(X5,nil),X6) != X4
                    | ! [X7] :
                        ( app(X7,cons(X5,nil)) != sK8
                        | ~ ssList(X7) )
                    | ~ ssList(X6) ) ) )
        & sK7 = X3
        & ssList(X3)
        & ( ~ neq(sK6,nil)
          | ~ frontsegP(sK7,sK6) )
        & sK6 = sK8
        & ( nil != sK7
          | nil != sK6 )
        & ( nil = X3
          | nil != sK8 ) )
   => ( ? [X4] :
          ( equalelemsP(sK8)
          & ssList(X4)
          & app(sK8,X4) = sK9
          & ! [X5] :
              ( ~ ssItem(X5)
              | ! [X6] :
                  ( app(cons(X5,nil),X6) != X4
                  | ! [X7] :
                      ( app(X7,cons(X5,nil)) != sK8
                      | ~ ssList(X7) )
                  | ~ ssList(X6) ) ) )
      & sK7 = sK9
      & ssList(sK9)
      & ( ~ neq(sK6,nil)
        | ~ frontsegP(sK7,sK6) )
      & sK6 = sK8
      & ( nil != sK7
        | nil != sK6 )
      & ( nil = sK9
        | nil != sK8 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ? [X4] :
        ( equalelemsP(sK8)
        & ssList(X4)
        & app(sK8,X4) = sK9
        & ! [X5] :
            ( ~ ssItem(X5)
            | ! [X6] :
                ( app(cons(X5,nil),X6) != X4
                | ! [X7] :
                    ( app(X7,cons(X5,nil)) != sK8
                    | ~ ssList(X7) )
                | ~ ssList(X6) ) ) )
   => ( equalelemsP(sK8)
      & ssList(sK10)
      & app(sK8,sK10) = sK9
      & ! [X5] :
          ( ~ ssItem(X5)
          | ! [X6] :
              ( app(cons(X5,nil),X6) != sK10
              | ! [X7] :
                  ( app(X7,cons(X5,nil)) != sK8
                  | ~ ssList(X7) )
              | ~ ssList(X6) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( equalelemsP(X2)
                      & ssList(X4)
                      & app(X2,X4) = X3
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6) ) ) )
                  & X1 = X3
                  & ssList(X3)
                  & ( ~ neq(X0,nil)
                    | ~ frontsegP(X1,X0) )
                  & X0 = X2
                  & ( nil != X1
                    | nil != X0 )
                  & ( nil = X3
                    | nil != X2 ) ) ) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( ~ neq(X0,nil)
                    | ~ frontsegP(X1,X0) )
                  & X1 = X3
                  & ? [X4] :
                      ( ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | ~ ssList(X6) ) )
                      & equalelemsP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & ( nil = X3
                    | nil != X2 )
                  & ( nil != X1
                    | nil != X0 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X0 != X2
                      | ( neq(X0,nil)
                        & frontsegP(X1,X0) )
                      | X1 != X3
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( app(X7,cons(X5,nil)) = X2
                                        & ssList(X7) )
                                    & ssList(X6)
                                    & app(cons(X5,nil),X6) = X4 )
                                & ssItem(X5) )
                            | ~ equalelemsP(X2)
                            | app(X2,X4) != X3 ) )
                      | ( nil != X3
                        & nil = X2 )
                      | ( nil = X1
                        & nil = X0 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | ( neq(X0,nil)
                      & frontsegP(X1,X0) )
                    | X1 != X3
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( app(X7,cons(X5,nil)) = X2
                                      & ssList(X7) )
                                  & ssList(X6)
                                  & app(cons(X5,nil),X6) = X4 )
                              & ssItem(X5) )
                          | ~ equalelemsP(X2)
                          | app(X2,X4) != X3 ) )
                    | ( nil != X3
                      & nil = X2 )
                    | ( nil = X1
                      & nil = X0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f198,plain,
    ssList(sK7),
    inference(cnf_transformation,[],[f151]) ).

fof(f687,plain,
    ( ~ ssList(sK9)
    | frontsegP(sK9,sK8) ),
    inference(subsumption_resolution,[],[f686,f229]) ).

fof(f229,plain,
    ssList(sK8),
    inference(definition_unfolding,[],[f186,f189]) ).

fof(f189,plain,
    sK6 = sK8,
    inference(cnf_transformation,[],[f151]) ).

fof(f186,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f151]) ).

fof(f686,plain,
    ( ~ ssList(sK8)
    | ~ ssList(sK9)
    | frontsegP(sK9,sK8) ),
    inference(subsumption_resolution,[],[f675,f195]) ).

fof(f195,plain,
    ssList(sK10),
    inference(cnf_transformation,[],[f151]) ).

fof(f675,plain,
    ( ~ ssList(sK10)
    | ~ ssList(sK8)
    | ~ ssList(sK9)
    | frontsegP(sK9,sK8) ),
    inference(superposition,[],[f237,f194]) ).

fof(f194,plain,
    app(sK8,sK10) = sK9,
    inference(cnf_transformation,[],[f151]) ).

fof(f237,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(app(X1,X2))
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f221]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | frontsegP(X0,X1)
      | ~ ssList(X2)
      | app(X1,X2) != X0
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK13(X0,X1))
                & app(X1,sK13(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f161,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ssList(X3)
          & app(X1,X3) = X0 )
     => ( ssList(sK13(X0,X1))
        & app(X1,sK13(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(rectify,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f597,plain,
    ( spl14_2
    | spl14_4 ),
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | spl14_2
    | spl14_4 ),
    inference(subsumption_resolution,[],[f595,f258]) ).

fof(f258,plain,
    ( nil != sK8
    | spl14_4 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl14_4
  <=> nil = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f595,plain,
    ( nil = sK8
    | spl14_2 ),
    inference(unit_resulting_resolution,[],[f229,f224,f249,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f249,plain,
    ( ~ neq(sK8,nil)
    | spl14_2 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl14_2
  <=> neq(sK8,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f224,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f260,plain,
    ( spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f187,f256,f252]) ).

fof(f252,plain,
    ( spl14_3
  <=> nil = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f187,plain,
    ( nil != sK8
    | nil = sK9 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f259,plain,
    ( ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f228,f256,f252]) ).

fof(f228,plain,
    ( nil != sK8
    | nil != sK9 ),
    inference(definition_unfolding,[],[f188,f192,f189]) ).

fof(f188,plain,
    ( nil != sK7
    | nil != sK6 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f250,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f227,f247,f243]) ).

fof(f227,plain,
    ( ~ neq(sK8,nil)
    | ~ frontsegP(sK9,sK8) ),
    inference(definition_unfolding,[],[f190,f189,f192,f189]) ).

fof(f190,plain,
    ( ~ neq(sK6,nil)
    | ~ frontsegP(sK7,sK6) ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:38:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (5650)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)
% 0.20/0.52  % (5664)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  % (5656)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)
% 0.20/0.53  % (5648)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)
% 0.20/0.53  % (5643)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)
% 0.20/0.53  % (5658)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (5641)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  % (5653)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)
% 0.20/0.53  % (5656)Instruction limit reached!
% 0.20/0.53  % (5656)------------------------------
% 0.20/0.53  % (5656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (5656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (5656)Termination reason: Unknown
% 0.20/0.53  % (5656)Termination phase: Function definition elimination
% 0.20/0.53  
% 0.20/0.53  % (5656)Memory used [KB]: 1791
% 0.20/0.53  % (5656)Time elapsed: 0.009 s
% 0.20/0.53  % (5656)Instructions burned: 8 (million)
% 0.20/0.53  % (5656)------------------------------
% 0.20/0.53  % (5656)------------------------------
% 0.20/0.53  % (5640)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53  % (5641)Instruction limit reached!
% 0.20/0.53  % (5641)------------------------------
% 0.20/0.53  % (5641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5658)Instruction limit reached!
% 0.20/0.54  % (5658)------------------------------
% 0.20/0.54  % (5658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5658)Termination reason: Unknown
% 0.20/0.54  % (5658)Termination phase: Naming
% 0.20/0.54  
% 0.20/0.54  % (5658)Memory used [KB]: 1535
% 0.20/0.54  % (5658)Time elapsed: 0.003 s
% 0.20/0.54  % (5658)Instructions burned: 3 (million)
% 0.20/0.54  % (5658)------------------------------
% 0.20/0.54  % (5658)------------------------------
% 0.20/0.54  % (5641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5641)Termination reason: Unknown
% 0.20/0.54  % (5641)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (5641)Memory used [KB]: 6396
% 0.20/0.54  % (5641)Time elapsed: 0.109 s
% 0.20/0.54  % (5641)Instructions burned: 13 (million)
% 0.20/0.54  % (5641)------------------------------
% 0.20/0.54  % (5641)------------------------------
% 0.20/0.54  % (5653)Instruction limit reached!
% 0.20/0.54  % (5653)------------------------------
% 0.20/0.54  % (5653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5650)First to succeed.
% 0.20/0.54  % (5651)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)
% 0.20/0.54  % (5669)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)
% 0.20/0.55  % (5660)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)
% 0.20/0.55  % (5670)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)
% 0.20/0.55  % (5644)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)
% 0.20/0.55  % (5650)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (5650)------------------------------
% 0.20/0.55  % (5650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5650)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (5650)Memory used [KB]: 6524
% 0.20/0.55  % (5650)Time elapsed: 0.109 s
% 0.20/0.55  % (5650)Instructions burned: 25 (million)
% 0.20/0.55  % (5650)------------------------------
% 0.20/0.55  % (5650)------------------------------
% 0.20/0.55  % (5635)Success in time 0.184 s
%------------------------------------------------------------------------------