TSTP Solution File: SWC288+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC288+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 May  1 04:01:09 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   52 (   9 unt;   0 def)
%            Number of atoms       :  372 ( 103 equ)
%            Maximal formula atoms :   22 (   7 avg)
%            Number of connectives :  472 ( 152   ~; 128   |; 163   &)
%                                         (   5 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  124 (  73   !;  51   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f419,plain,
    $false,
    inference(avatar_sat_refutation,[],[f347,f359,f407,f418]) ).

fof(f418,plain,
    ( ~ spl26_1
    | spl26_7 ),
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl26_1
    | spl26_7 ),
    inference(subsumption_resolution,[],[f416,f342]) ).

fof(f342,plain,
    ( sP0(sK7,sK6)
    | ~ spl26_1 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl26_1
  <=> sP0(sK7,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f416,plain,
    ( ~ sP0(sK7,sK6)
    | spl26_7 ),
    inference(resolution,[],[f404,f219]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ssItem(sK1(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( ! [X5] :
            ( ~ lt(X5,sK1(X0,X1))
            | ~ memberP(sK3(X0,X1),X5)
            | ~ ssItem(X5) )
        & ! [X6] :
            ( ~ lt(sK1(X0,X1),X6)
            | ~ memberP(sK2(X0,X1),X6)
            | ~ ssItem(X6) )
        & app(app(sK2(X0,X1),X1),sK3(X0,X1)) = X0
        & cons(sK1(X0,X1),nil) = X1
        & ssList(sK3(X0,X1))
        & ssList(sK2(X0,X1))
        & ssItem(sK1(X0,X1)) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f166,f169,f168,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ! [X5] :
                      ( ~ lt(X5,X2)
                      | ~ memberP(X4,X5)
                      | ~ ssItem(X5) )
                  & ! [X6] :
                      ( ~ lt(X2,X6)
                      | ~ memberP(X3,X6)
                      | ~ ssItem(X6) )
                  & app(app(X3,X1),X4) = X0
                  & cons(X2,nil) = X1
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ! [X5] :
                    ( ~ lt(X5,sK1(X0,X1))
                    | ~ memberP(X4,X5)
                    | ~ ssItem(X5) )
                & ! [X6] :
                    ( ~ lt(sK1(X0,X1),X6)
                    | ~ memberP(X3,X6)
                    | ~ ssItem(X6) )
                & app(app(X3,X1),X4) = X0
                & cons(sK1(X0,X1),nil) = X1
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ? [X4] :
              ( ! [X5] :
                  ( ~ lt(X5,sK1(X0,X1))
                  | ~ memberP(X4,X5)
                  | ~ ssItem(X5) )
              & ! [X6] :
                  ( ~ lt(sK1(X0,X1),X6)
                  | ~ memberP(X3,X6)
                  | ~ ssItem(X6) )
              & app(app(X3,X1),X4) = X0
              & cons(sK1(X0,X1),nil) = X1
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ! [X5] :
                ( ~ lt(X5,sK1(X0,X1))
                | ~ memberP(X4,X5)
                | ~ ssItem(X5) )
            & ! [X6] :
                ( ~ lt(sK1(X0,X1),X6)
                | ~ memberP(sK2(X0,X1),X6)
                | ~ ssItem(X6) )
            & app(app(sK2(X0,X1),X1),X4) = X0
            & cons(sK1(X0,X1),nil) = X1
            & ssList(X4) )
        & ssList(sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ! [X5] :
              ( ~ lt(X5,sK1(X0,X1))
              | ~ memberP(X4,X5)
              | ~ ssItem(X5) )
          & ! [X6] :
              ( ~ lt(sK1(X0,X1),X6)
              | ~ memberP(sK2(X0,X1),X6)
              | ~ ssItem(X6) )
          & app(app(sK2(X0,X1),X1),X4) = X0
          & cons(sK1(X0,X1),nil) = X1
          & ssList(X4) )
     => ( ! [X5] :
            ( ~ lt(X5,sK1(X0,X1))
            | ~ memberP(sK3(X0,X1),X5)
            | ~ ssItem(X5) )
        & ! [X6] :
            ( ~ lt(sK1(X0,X1),X6)
            | ~ memberP(sK2(X0,X1),X6)
            | ~ ssItem(X6) )
        & app(app(sK2(X0,X1),X1),sK3(X0,X1)) = X0
        & cons(sK1(X0,X1),nil) = X1
        & ssList(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ! [X5] :
                      ( ~ lt(X5,X2)
                      | ~ memberP(X4,X5)
                      | ~ ssItem(X5) )
                  & ! [X6] :
                      ( ~ lt(X2,X6)
                      | ~ memberP(X3,X6)
                      | ~ ssItem(X6) )
                  & app(app(X3,X1),X4) = X0
                  & cons(X2,nil) = X1
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f165]) ).

fof(f165,plain,
    ! [X3,X2] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ! [X7] :
                      ( ~ lt(X7,X4)
                      | ~ memberP(X6,X7)
                      | ~ ssItem(X7) )
                  & ! [X8] :
                      ( ~ lt(X4,X8)
                      | ~ memberP(X5,X8)
                      | ~ ssItem(X8) )
                  & app(app(X5,X2),X6) = X3
                  & cons(X4,nil) = X2
                  & ssList(X6) )
              & ssList(X5) )
          & ssItem(X4) )
      | ~ sP0(X3,X2) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X3,X2] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ! [X7] :
                      ( ~ lt(X7,X4)
                      | ~ memberP(X6,X7)
                      | ~ ssItem(X7) )
                  & ! [X8] :
                      ( ~ lt(X4,X8)
                      | ~ memberP(X5,X8)
                      | ~ ssItem(X8) )
                  & app(app(X5,X2),X6) = X3
                  & cons(X4,nil) = X2
                  & ssList(X6) )
              & ssList(X5) )
          & ssItem(X4) )
      | ~ sP0(X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f404,plain,
    ( ~ ssItem(sK1(sK7,sK6))
    | spl26_7 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f402,plain,
    ( spl26_7
  <=> ssItem(sK1(sK7,sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f407,plain,
    ( ~ spl26_7
    | ~ spl26_1 ),
    inference(avatar_split_clause,[],[f406,f340,f402]) ).

fof(f406,plain,
    ( ~ ssItem(sK1(sK7,sK6))
    | ~ spl26_1 ),
    inference(subsumption_resolution,[],[f396,f322]) ).

fof(f322,plain,
    ~ strictorderedP(sK6),
    inference(definition_unfolding,[],[f232,f231]) ).

fof(f231,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ( ( nil = sK6
        & nil = sK7 )
      | sP0(sK7,sK6) )
    & ~ strictorderedP(sK4)
    & sK4 = sK6
    & sK5 = sK7
    & ssList(sK7)
    & ssList(sK6)
    & ssList(sK5)
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f164,f174,f173,f172,f171]) ).

fof(f171,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil = X2
                        & nil = X3 )
                      | sP0(X3,X2) )
                    & ~ strictorderedP(X0)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | sP0(X3,X2) )
                  & ~ strictorderedP(sK4)
                  & sK4 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f172,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil = X2
                    & nil = X3 )
                  | sP0(X3,X2) )
                & ~ strictorderedP(sK4)
                & sK4 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil = X2
                  & nil = X3 )
                | sP0(X3,X2) )
              & ~ strictorderedP(sK4)
              & sK4 = X2
              & sK5 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil = X2
                & nil = X3 )
              | sP0(X3,X2) )
            & ~ strictorderedP(sK4)
            & sK4 = X2
            & sK5 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil = sK6
              & nil = X3 )
            | sP0(X3,sK6) )
          & ~ strictorderedP(sK4)
          & sK4 = sK6
          & sK5 = X3
          & ssList(X3) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ( ? [X3] :
        ( ( ( nil = sK6
            & nil = X3 )
          | sP0(X3,sK6) )
        & ~ strictorderedP(sK4)
        & sK4 = sK6
        & sK5 = X3
        & ssList(X3) )
   => ( ( ( nil = sK6
          & nil = sK7 )
        | sP0(sK7,sK6) )
      & ~ strictorderedP(sK4)
      & sK4 = sK6
      & sK5 = sK7
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | sP0(X3,X2) )
                  & ~ strictorderedP(X0)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(definition_folding,[],[f99,f163]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ~ lt(X7,X4)
                                    | ~ memberP(X6,X7)
                                    | ~ ssItem(X7) )
                                & ! [X8] :
                                    ( ~ lt(X4,X8)
                                    | ~ memberP(X5,X8)
                                    | ~ ssItem(X8) )
                                & app(app(X5,X2),X6) = X3
                                & cons(X4,nil) = X2
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ~ strictorderedP(X0)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ? [X7] :
                                      ( lt(X7,X4)
                                      & memberP(X6,X7)
                                      & ssItem(X7) )
                                  | ? [X8] :
                                      ( lt(X4,X8)
                                      & memberP(X5,X8)
                                      & ssItem(X8) )
                                  | app(app(X5,X2),X6) != X3
                                  | cons(X4,nil) != X2
                                  | ~ ssList(X6) ) ) ) )
                    | strictorderedP(X0)
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ? [X8] :
                                      ( lt(X8,X4)
                                      & memberP(X6,X8)
                                      & ssItem(X8) )
                                  | ? [X7] :
                                      ( lt(X4,X7)
                                      & memberP(X5,X7)
                                      & ssItem(X7) )
                                  | app(app(X5,X2),X6) != X3
                                  | cons(X4,nil) != X2
                                  | ~ ssList(X6) ) ) ) )
                    | strictorderedP(X0)
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( ( nil != X2
                      | nil != X3 )
                    & ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ! [X6] :
                                ( ? [X8] :
                                    ( lt(X8,X4)
                                    & memberP(X6,X8)
                                    & ssItem(X8) )
                                | ? [X7] :
                                    ( lt(X4,X7)
                                    & memberP(X5,X7)
                                    & ssItem(X7) )
                                | app(app(X5,X2),X6) != X3
                                | cons(X4,nil) != X2
                                | ~ ssList(X6) ) ) ) )
                  | strictorderedP(X0)
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8DwUprxUhm/Vampire---4.8_4274',co1) ).

fof(f232,plain,
    ~ strictorderedP(sK4),
    inference(cnf_transformation,[],[f175]) ).

fof(f396,plain,
    ( strictorderedP(sK6)
    | ~ ssItem(sK1(sK7,sK6))
    | ~ spl26_1 ),
    inference(superposition,[],[f353,f392]) ).

fof(f392,plain,
    ( sK6 = cons(sK1(sK7,sK6),nil)
    | ~ spl26_1 ),
    inference(resolution,[],[f342,f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | cons(sK1(X0,X1),nil) = X1 ),
    inference(cnf_transformation,[],[f170]) ).

fof(f353,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f330,f257]) ).

fof(f257,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.8DwUprxUhm/Vampire---4.8_4274',ax17) ).

fof(f330,plain,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssList(nil)
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( strictorderedP(cons(X0,X1))
      | nil != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( strictorderedP(cons(X0,X1))
              | ( ( ~ lt(X0,hd(X1))
                  | ~ strictorderedP(X1)
                  | nil = X1 )
                & nil != X1 ) )
            & ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1
              | ~ strictorderedP(cons(X0,X1)) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( strictorderedP(cons(X0,X1))
              | ( ( ~ lt(X0,hd(X1))
                  | ~ strictorderedP(X1)
                  | nil = X1 )
                & nil != X1 ) )
            & ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1
              | ~ strictorderedP(cons(X0,X1)) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( strictorderedP(cons(X0,X1))
          <=> ( ( lt(X0,hd(X1))
                & strictorderedP(X1)
                & nil != X1 )
              | nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8DwUprxUhm/Vampire---4.8_4274',ax70) ).

fof(f359,plain,
    ~ spl26_2,
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | ~ spl26_2 ),
    inference(subsumption_resolution,[],[f357,f282]) ).

fof(f282,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/tmp/tmp.8DwUprxUhm/Vampire---4.8_4274',ax69) ).

fof(f357,plain,
    ( ~ strictorderedP(nil)
    | ~ spl26_2 ),
    inference(backward_demodulation,[],[f322,f346]) ).

fof(f346,plain,
    ( nil = sK6
    | ~ spl26_2 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl26_2
  <=> nil = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).

fof(f347,plain,
    ( spl26_1
    | spl26_2 ),
    inference(avatar_split_clause,[],[f234,f344,f340]) ).

fof(f234,plain,
    ( nil = sK6
    | sP0(sK7,sK6) ),
    inference(cnf_transformation,[],[f175]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC288+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:12:49 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.8DwUprxUhm/Vampire---4.8_4274
% 0.58/0.75  % (4539)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75  % (4533)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (4535)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (4534)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (4537)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (4538)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (4540)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75  % (4538)Refutation not found, incomplete strategy% (4538)------------------------------
% 0.58/0.75  % (4538)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (4538)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (4538)Memory used [KB]: 1151
% 0.58/0.75  % (4538)Time elapsed: 0.005 s
% 0.58/0.75  % (4538)Instructions burned: 7 (million)
% 0.58/0.75  % (4538)------------------------------
% 0.58/0.75  % (4538)------------------------------
% 0.58/0.76  % (4536)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76  % (4535)First to succeed.
% 0.58/0.76  % (4534)Also succeeded, but the first one will report.
% 0.58/0.76  % (4535)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (4535)------------------------------
% 0.58/0.76  % (4535)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (4535)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (4535)Memory used [KB]: 1324
% 0.58/0.76  % (4535)Time elapsed: 0.011 s
% 0.58/0.76  % (4535)Instructions burned: 15 (million)
% 0.58/0.76  % (4535)------------------------------
% 0.58/0.76  % (4535)------------------------------
% 0.58/0.76  % (4529)Success in time 0.382 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------