TSTP Solution File: SWC057+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC057+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 : 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 18:38:28 EDT 2022

% Result   : Theorem 2.92s 0.74s
% Output   : Refutation 2.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  105 (   7 unt;   0 def)
%            Number of atoms       :  532 ( 126 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  688 ( 261   ~; 250   |; 139   &)
%                                         (  14 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  147 ( 108   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f926,plain,
    $false,
    inference(avatar_sat_refutation,[],[f276,f282,f283,f284,f286,f303,f312,f318,f919]) ).

fof(f919,plain,
    ( ~ spl11_3
    | ~ spl11_5
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f918]) ).

fof(f918,plain,
    ( $false
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f917,f184]) ).

fof(f184,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ssList(sK4)
    & sK5 = sK3
    & ssList(sK5)
    & ( ( neq(sK4,nil)
        & frontsegP(sK5,sK4) )
      | ( nil = sK5
        & nil = sK4 ) )
    & ( ( nil != sK2
        & nil = sK3 )
      | ( neq(sK3,nil)
        & ! [X4] :
            ( ~ ssList(X4)
            | ~ segmentP(sK2,X4)
            | ~ neq(X4,nil)
            | ~ segmentP(sK3,X4) ) ) )
    & sK2 = sK4
    & ssList(sK3)
    & ssList(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f101,f150,f149,f148,f147]) ).

fof(f147,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ssList(X3)
                    & ( ( neq(X2,nil)
                        & frontsegP(X3,X2) )
                      | ( nil = X3
                        & nil = X2 ) )
                    & ( ( nil != X0
                        & nil = X1 )
                      | ( neq(X1,nil)
                        & ! [X4] :
                            ( ~ ssList(X4)
                            | ~ segmentP(X0,X4)
                            | ~ neq(X4,nil)
                            | ~ segmentP(X1,X4) ) ) )
                    & X0 = X2 ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & ( ( neq(X2,nil)
                      & frontsegP(X3,X2) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ( ( nil != sK2
                      & nil = X1 )
                    | ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | ~ segmentP(sK2,X4)
                          | ~ neq(X4,nil)
                          | ~ segmentP(X1,X4) ) ) )
                  & sK2 = X2 ) )
          & ssList(X1) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ssList(X3)
                & ( ( neq(X2,nil)
                    & frontsegP(X3,X2) )
                  | ( nil = X3
                    & nil = X2 ) )
                & ( ( nil != sK2
                    & nil = X1 )
                  | ( neq(X1,nil)
                    & ! [X4] :
                        ( ~ ssList(X4)
                        | ~ segmentP(sK2,X4)
                        | ~ neq(X4,nil)
                        | ~ segmentP(X1,X4) ) ) )
                & sK2 = X2 ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK3 = X3
              & ssList(X3)
              & ( ( neq(X2,nil)
                  & frontsegP(X3,X2) )
                | ( nil = X3
                  & nil = X2 ) )
              & ( ( nil != sK2
                  & nil = sK3 )
                | ( neq(sK3,nil)
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ segmentP(sK2,X4)
                      | ~ neq(X4,nil)
                      | ~ segmentP(sK3,X4) ) ) )
              & sK2 = X2 ) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK3 = X3
            & ssList(X3)
            & ( ( neq(X2,nil)
                & frontsegP(X3,X2) )
              | ( nil = X3
                & nil = X2 ) )
            & ( ( nil != sK2
                & nil = sK3 )
              | ( neq(sK3,nil)
                & ! [X4] :
                    ( ~ ssList(X4)
                    | ~ segmentP(sK2,X4)
                    | ~ neq(X4,nil)
                    | ~ segmentP(sK3,X4) ) ) )
            & sK2 = X2 ) )
   => ( ssList(sK4)
      & ? [X3] :
          ( sK3 = X3
          & ssList(X3)
          & ( ( neq(sK4,nil)
              & frontsegP(X3,sK4) )
            | ( nil = X3
              & nil = sK4 ) )
          & ( ( nil != sK2
              & nil = sK3 )
            | ( neq(sK3,nil)
              & ! [X4] :
                  ( ~ ssList(X4)
                  | ~ segmentP(sK2,X4)
                  | ~ neq(X4,nil)
                  | ~ segmentP(sK3,X4) ) ) )
          & sK2 = sK4 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ? [X3] :
        ( sK3 = X3
        & ssList(X3)
        & ( ( neq(sK4,nil)
            & frontsegP(X3,sK4) )
          | ( nil = X3
            & nil = sK4 ) )
        & ( ( nil != sK2
            & nil = sK3 )
          | ( neq(sK3,nil)
            & ! [X4] :
                ( ~ ssList(X4)
                | ~ segmentP(sK2,X4)
                | ~ neq(X4,nil)
                | ~ segmentP(sK3,X4) ) ) )
        & sK2 = sK4 )
   => ( sK5 = sK3
      & ssList(sK5)
      & ( ( neq(sK4,nil)
          & frontsegP(sK5,sK4) )
        | ( nil = sK5
          & nil = sK4 ) )
      & ( ( nil != sK2
          & nil = sK3 )
        | ( neq(sK3,nil)
          & ! [X4] :
              ( ~ ssList(X4)
              | ~ segmentP(sK2,X4)
              | ~ neq(X4,nil)
              | ~ segmentP(sK3,X4) ) ) )
      & sK2 = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ssList(X3)
                  & ( ( neq(X2,nil)
                      & frontsegP(X3,X2) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ( ( nil != X0
                      & nil = X1 )
                    | ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | ~ segmentP(X0,X4)
                          | ~ neq(X4,nil)
                          | ~ segmentP(X1,X4) ) ) )
                  & X0 = X2 ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( ~ neq(X1,nil)
                        | ? [X4] :
                            ( ssList(X4)
                            & neq(X4,nil)
                            & segmentP(X1,X4)
                            & segmentP(X0,X4) ) )
                      & ( nil != X1
                        | nil = X0 ) )
                    | X1 != X3
                    | ~ ssList(X3)
                    | X0 != X2
                    | ( ( ~ neq(X2,nil)
                        | ~ frontsegP(X3,X2) )
                      & ( nil != X3
                        | nil != X2 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( ( ~ neq(X1,nil)
                      | ? [X4] :
                          ( ssList(X4)
                          & neq(X4,nil)
                          & segmentP(X1,X4)
                          & segmentP(X0,X4) ) )
                    & ( nil != X1
                      | nil = X0 ) )
                  | X1 != X3
                  | ~ ssList(X3)
                  | X0 != X2
                  | ( ( ~ neq(X2,nil)
                      | ~ frontsegP(X3,X2) )
                    & ( nil != X3
                      | nil != X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f917,plain,
    ( ~ ssList(sK3)
    | ~ spl11_3
    | ~ spl11_5
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f916,f340]) ).

fof(f340,plain,
    ( ~ segmentP(sK3,sK4)
    | ~ spl11_3
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f339,f196]) ).

fof(f196,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f151]) ).

fof(f339,plain,
    ( ~ segmentP(sK3,sK4)
    | ~ ssList(sK4)
    | ~ spl11_3
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f338,f281]) ).

fof(f281,plain,
    ( neq(sK4,nil)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl11_6
  <=> neq(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f338,plain,
    ( ~ neq(sK4,nil)
    | ~ segmentP(sK3,sK4)
    | ~ ssList(sK4)
    | ~ spl11_3 ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f337,plain,
    ( ~ segmentP(sK3,sK4)
    | ~ neq(sK4,nil)
    | ~ ssList(sK4)
    | ~ ssList(sK4)
    | ~ spl11_3 ),
    inference(resolution,[],[f265,f219]) ).

fof(f219,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

fof(f265,plain,
    ( ! [X4] :
        ( ~ segmentP(sK4,X4)
        | ~ segmentP(sK3,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl11_3
  <=> ! [X4] :
        ( ~ neq(X4,nil)
        | ~ segmentP(sK3,X4)
        | ~ ssList(X4)
        | ~ segmentP(sK4,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f916,plain,
    ( segmentP(sK3,sK4)
    | ~ ssList(sK3)
    | ~ spl11_5 ),
    inference(subsumption_resolution,[],[f909,f196]) ).

fof(f909,plain,
    ( ~ ssList(sK4)
    | segmentP(sK3,sK4)
    | ~ ssList(sK3)
    | ~ spl11_5 ),
    inference(resolution,[],[f898,f275]) ).

fof(f275,plain,
    ( frontsegP(sK3,sK4)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f273,plain,
    ( spl11_5
  <=> frontsegP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f898,plain,
    ! [X2,X1] :
      ( ~ frontsegP(X2,X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(X2,X1) ),
    inference(subsumption_resolution,[],[f890,f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ssList(sK10(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK10(X0,X1)) = X0
                & ssList(sK10(X0,X1)) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f163,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK10(X0,X1)) = X0
        & ssList(sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f890,plain,
    ! [X2,X1] :
      ( ~ ssList(X2)
      | segmentP(X2,X1)
      | ~ ssList(X1)
      | ~ ssList(sK10(X2,X1))
      | ~ frontsegP(X2,X1) ),
    inference(duplicate_literal_removal,[],[f881]) ).

fof(f881,plain,
    ! [X2,X1] :
      ( segmentP(X2,X1)
      | ~ ssList(sK10(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ frontsegP(X2,X1) ),
    inference(superposition,[],[f854,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( app(X1,sK10(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f854,plain,
    ! [X19,X20] :
      ( segmentP(app(X19,X20),X19)
      | ~ ssList(X20)
      | ~ ssList(X19) ),
    inference(subsumption_resolution,[],[f853,f221]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f853,plain,
    ! [X19,X20] :
      ( segmentP(app(X19,X20),X19)
      | ~ ssList(app(X19,X20))
      | ~ ssList(X20)
      | ~ ssList(X19) ),
    inference(subsumption_resolution,[],[f831,f197]) ).

fof(f197,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f831,plain,
    ! [X19,X20] :
      ( ~ ssList(app(X19,X20))
      | segmentP(app(X19,X20),X19)
      | ~ ssList(X19)
      | ~ ssList(nil)
      | ~ ssList(X20) ),
    inference(duplicate_literal_removal,[],[f826]) ).

fof(f826,plain,
    ! [X19,X20] :
      ( segmentP(app(X19,X20),X19)
      | ~ ssList(X19)
      | ~ ssList(app(X19,X20))
      | ~ ssList(X20)
      | ~ ssList(nil)
      | ~ ssList(X19) ),
    inference(superposition,[],[f245,f199]) ).

fof(f199,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f245,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f206]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X2,X1),X3) != X0 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ( ssList(sK6(X0,X1))
                & ssList(sK7(X0,X1))
                & app(app(sK6(X0,X1),X1),sK7(X0,X1)) = X0 )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f153,f155,f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( ssList(X5)
              & app(app(X4,X1),X5) = X0 ) )
     => ( ssList(sK6(X0,X1))
        & ? [X5] :
            ( ssList(X5)
            & app(app(sK6(X0,X1),X1),X5) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ssList(X5)
          & app(app(sK6(X0,X1),X1),X5) = X0 )
     => ( ssList(sK7(X0,X1))
        & app(app(sK6(X0,X1),X1),sK7(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X1),X5) = X0 ) )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(rectify,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & app(app(X2,X1),X3) = X0 ) )
              | ~ segmentP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f318,plain,
    ( ~ spl11_4
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f316,f197]) ).

fof(f316,plain,
    ( ~ ssList(nil)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(resolution,[],[f307,f252]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f242]) ).

fof(f242,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f307,plain,
    ( neq(nil,nil)
    | ~ spl11_4
    | ~ spl11_6 ),
    inference(superposition,[],[f281,f268]) ).

fof(f268,plain,
    ( nil = sK4
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl11_4
  <=> nil = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f312,plain,
    ( ~ spl11_1
    | ~ spl11_2 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_2 ),
    inference(subsumption_resolution,[],[f310,f197]) ).

fof(f310,plain,
    ( ~ ssList(nil)
    | ~ spl11_1
    | ~ spl11_2 ),
    inference(resolution,[],[f305,f252]) ).

fof(f305,plain,
    ( neq(nil,nil)
    | ~ spl11_1
    | ~ spl11_2 ),
    inference(forward_demodulation,[],[f257,f261]) ).

fof(f261,plain,
    ( nil = sK3
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl11_2
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f257,plain,
    ( neq(sK3,nil)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl11_1
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f303,plain,
    ( spl11_4
    | ~ spl11_2
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f300,f273,f259,f267]) ).

fof(f300,plain,
    ( nil = sK4
    | ~ spl11_2
    | ~ spl11_5 ),
    inference(subsumption_resolution,[],[f294,f196]) ).

fof(f294,plain,
    ( ~ ssList(sK4)
    | nil = sK4
    | ~ spl11_2
    | ~ spl11_5 ),
    inference(resolution,[],[f226,f288]) ).

fof(f288,plain,
    ( frontsegP(nil,sK4)
    | ~ spl11_2
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f275,f261]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f286,plain,
    ( spl11_1
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f237,f267,f255]) ).

fof(f237,plain,
    ( nil != sK4
    | neq(sK3,nil) ),
    inference(definition_unfolding,[],[f189,f185]) ).

fof(f185,plain,
    sK2 = sK4,
    inference(cnf_transformation,[],[f151]) ).

fof(f189,plain,
    ( nil != sK2
    | neq(sK3,nil) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f284,plain,
    ( spl11_6
    | spl11_4 ),
    inference(avatar_split_clause,[],[f192,f267,f279]) ).

fof(f192,plain,
    ( nil = sK4
    | neq(sK4,nil) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f283,plain,
    ( spl11_3
    | spl11_2 ),
    inference(avatar_split_clause,[],[f239,f259,f264]) ).

fof(f239,plain,
    ! [X4] :
      ( nil = sK3
      | ~ segmentP(sK3,X4)
      | ~ segmentP(sK4,X4)
      | ~ ssList(X4)
      | ~ neq(X4,nil) ),
    inference(definition_unfolding,[],[f186,f185]) ).

fof(f186,plain,
    ! [X4] :
      ( nil = sK3
      | ~ ssList(X4)
      | ~ segmentP(sK2,X4)
      | ~ neq(X4,nil)
      | ~ segmentP(sK3,X4) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f282,plain,
    ( spl11_6
    | spl11_2 ),
    inference(avatar_split_clause,[],[f234,f259,f279]) ).

fof(f234,plain,
    ( nil = sK3
    | neq(sK4,nil) ),
    inference(definition_unfolding,[],[f193,f195]) ).

fof(f195,plain,
    sK5 = sK3,
    inference(cnf_transformation,[],[f151]) ).

fof(f193,plain,
    ( neq(sK4,nil)
    | nil = sK5 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f276,plain,
    ( spl11_4
    | spl11_5 ),
    inference(avatar_split_clause,[],[f236,f273,f267]) ).

fof(f236,plain,
    ( frontsegP(sK3,sK4)
    | nil = sK4 ),
    inference(definition_unfolding,[],[f190,f195]) ).

fof(f190,plain,
    ( frontsegP(sK5,sK4)
    | nil = sK4 ),
    inference(cnf_transformation,[],[f151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 30 18:02:24 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (9030)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)
% 0.15/0.46  % (9032)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)
% 0.15/0.46  % (9043)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)
% 0.15/0.46  % (9031)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)
% 0.15/0.46  % (9035)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)
% 0.15/0.46  % (9040)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)
% 0.15/0.46  % (9046)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.46  % (9051)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)
% 0.15/0.47  % (9048)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47  % (9043)Instruction limit reached!
% 0.15/0.47  % (9043)------------------------------
% 0.15/0.47  % (9043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (9038)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)
% 0.15/0.47  % (9039)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)
% 0.15/0.48  % (9035)Instruction limit reached!
% 0.15/0.48  % (9035)------------------------------
% 0.15/0.48  % (9035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (9039)Instruction limit reached!
% 0.15/0.48  % (9039)------------------------------
% 0.15/0.48  % (9039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (9047)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)
% 0.15/0.49  % (9035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (9035)Termination reason: Unknown
% 0.15/0.49  % (9035)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (9035)Memory used [KB]: 6140
% 0.15/0.49  % (9035)Time elapsed: 0.114 s
% 0.15/0.49  % (9035)Instructions burned: 7 (million)
% 0.15/0.49  % (9035)------------------------------
% 0.15/0.49  % (9035)------------------------------
% 0.15/0.49  % (9043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (9043)Termination reason: Unknown
% 0.15/0.49  % (9043)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (9043)Memory used [KB]: 6268
% 0.15/0.49  % (9043)Time elapsed: 0.107 s
% 0.15/0.49  % (9043)Instructions burned: 12 (million)
% 0.15/0.49  % (9043)------------------------------
% 0.15/0.49  % (9043)------------------------------
% 0.15/0.49  % (9038)Instruction limit reached!
% 0.15/0.49  % (9038)------------------------------
% 0.15/0.49  % (9038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (9038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (9038)Termination reason: Unknown
% 0.15/0.49  % (9038)Termination phase: Preprocessing 3
% 0.15/0.49  
% 0.15/0.49  % (9038)Memory used [KB]: 1535
% 0.15/0.49  % (9038)Time elapsed: 0.005 s
% 0.15/0.49  % (9038)Instructions burned: 3 (million)
% 0.15/0.49  % (9038)------------------------------
% 0.15/0.49  % (9038)------------------------------
% 0.15/0.49  % (9051)Instruction limit reached!
% 0.15/0.49  % (9051)------------------------------
% 0.15/0.49  % (9051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (9051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (9051)Termination reason: Unknown
% 0.15/0.49  % (9051)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (9051)Memory used [KB]: 6652
% 0.15/0.49  % (9051)Time elapsed: 0.126 s
% 0.15/0.50  % (9051)Instructions burned: 25 (million)
% 0.15/0.50  % (9051)------------------------------
% 0.15/0.50  % (9051)------------------------------
% 0.15/0.50  % (9039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (9039)Termination reason: Unknown
% 0.15/0.50  % (9039)Termination phase: Equality resolution with deletion
% 0.15/0.50  
% 0.15/0.50  % (9039)Memory used [KB]: 1791
% 0.15/0.50  % (9039)Time elapsed: 0.006 s
% 0.15/0.50  % (9039)Instructions burned: 8 (million)
% 0.15/0.50  % (9039)------------------------------
% 0.15/0.50  % (9039)------------------------------
% 0.15/0.51  % (9031)Instruction limit reached!
% 0.15/0.51  % (9031)------------------------------
% 0.15/0.51  % (9031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (9031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (9031)Termination reason: Unknown
% 0.15/0.51  % (9031)Termination phase: Saturation
% 0.15/0.51  
% 0.15/0.51  % (9031)Memory used [KB]: 6652
% 0.15/0.51  % (9031)Time elapsed: 0.148 s
% 0.15/0.51  % (9031)Instructions burned: 40 (million)
% 0.15/0.51  % (9031)------------------------------
% 0.15/0.51  % (9031)------------------------------
% 0.15/0.52  % (9044)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)
% 0.15/0.52  % (9028)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)
% 0.15/0.52  % (9029)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)
% 0.15/0.53  % (9052)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)
% 0.15/0.53  % (9053)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)
% 0.15/0.53  % (9052)Instruction limit reached!
% 0.15/0.53  % (9052)------------------------------
% 0.15/0.53  % (9052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (9052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (9052)Termination reason: Unknown
% 0.15/0.53  % (9052)Termination phase: Property scanning
% 0.15/0.53  
% 0.15/0.53  % (9052)Memory used [KB]: 1791
% 0.15/0.53  % (9052)Time elapsed: 0.006 s
% 0.15/0.53  % (9052)Instructions burned: 9 (million)
% 0.15/0.53  % (9052)------------------------------
% 0.15/0.53  % (9052)------------------------------
% 0.15/0.53  % (9030)Instruction limit reached!
% 0.15/0.53  % (9030)------------------------------
% 0.15/0.53  % (9030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (9030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (9030)Termination reason: Unknown
% 0.15/0.53  % (9030)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (9030)Memory used [KB]: 6524
% 0.15/0.53  % (9030)Time elapsed: 0.165 s
% 0.15/0.53  % (9030)Instructions burned: 39 (million)
% 0.15/0.53  % (9030)------------------------------
% 0.15/0.53  % (9030)------------------------------
% 0.15/0.54  % (9036)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)
% 0.15/0.54  % (9037)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)
% 0.15/0.54  % (9045)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)
% 0.15/0.55  % (9028)Instruction limit reached!
% 0.15/0.55  % (9028)------------------------------
% 0.15/0.55  % (9028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (9028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (9028)Termination reason: Unknown
% 0.15/0.55  % (9028)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (9028)Memory used [KB]: 6268
% 0.15/0.55  % (9028)Time elapsed: 0.181 s
% 0.15/0.55  % (9028)Instructions burned: 13 (million)
% 0.15/0.55  % (9028)------------------------------
% 0.15/0.55  % (9028)------------------------------
% 0.15/0.55  % (9029)Instruction limit reached!
% 0.15/0.55  % (9029)------------------------------
% 0.15/0.55  % (9029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (9029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (9029)Termination reason: Unknown
% 0.15/0.55  % (9029)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (9029)Memory used [KB]: 1791
% 0.15/0.55  % (9029)Time elapsed: 0.182 s
% 0.15/0.55  % (9029)Instructions burned: 15 (million)
% 0.15/0.55  % (9029)------------------------------
% 0.15/0.55  % (9029)------------------------------
% 0.15/0.55  % (9027)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)
% 0.15/0.55  % (9032)Instruction limit reached!
% 0.15/0.55  % (9032)------------------------------
% 0.15/0.55  % (9032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (9032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (9032)Termination reason: Unknown
% 0.15/0.55  % (9032)Termination phase: Saturation
% 0.15/0.55  
% 0.15/0.55  % (9032)Memory used [KB]: 6780
% 0.15/0.55  % (9032)Time elapsed: 0.164 s
% 0.15/0.55  % (9032)Instructions burned: 50 (million)
% 0.15/0.55  % (9032)------------------------------
% 0.15/0.55  % (9032)------------------------------
% 0.15/0.56  % (9048)Instruction limit reached!
% 0.15/0.56  % (9048)------------------------------
% 0.15/0.56  % (9048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (9048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (9048)Termination reason: Unknown
% 0.15/0.56  % (9048)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (9048)Memory used [KB]: 6652
% 0.15/0.56  % (9048)Time elapsed: 0.196 s
% 0.15/0.56  % (9048)Instructions burned: 50 (million)
% 0.15/0.56  % (9048)------------------------------
% 0.15/0.56  % (9048)------------------------------
% 0.15/0.56  % (9047)Instruction limit reached!
% 0.15/0.56  % (9047)------------------------------
% 0.15/0.56  % (9047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (9047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (9047)Termination reason: Unknown
% 0.15/0.56  % (9047)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (9047)Memory used [KB]: 2046
% 0.15/0.56  % (9047)Time elapsed: 0.174 s
% 0.15/0.56  % (9047)Instructions burned: 45 (million)
% 0.15/0.56  % (9047)------------------------------
% 0.15/0.56  % (9047)------------------------------
% 0.15/0.56  % (9040)Instruction limit reached!
% 0.15/0.56  % (9040)------------------------------
% 0.15/0.56  % (9040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (9040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (9040)Termination reason: Unknown
% 0.15/0.56  % (9040)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (9040)Memory used [KB]: 7036
% 0.15/0.56  % (9040)Time elapsed: 0.176 s
% 0.15/0.56  % (9040)Instructions burned: 50 (million)
% 0.15/0.56  % (9040)------------------------------
% 0.15/0.56  % (9040)------------------------------
% 0.15/0.57  % (9025)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)
% 0.15/0.58  % (9049)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)
% 0.15/0.58  % (9050)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.58  % (9036)Instruction limit reached!
% 0.15/0.58  % (9036)------------------------------
% 0.15/0.58  % (9036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (9036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (9036)Termination reason: Unknown
% 0.15/0.58  % (9036)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (9036)Memory used [KB]: 2046
% 0.15/0.58  % (9036)Time elapsed: 0.189 s
% 0.15/0.58  % (9036)Instructions burned: 16 (million)
% 0.15/0.58  % (9036)------------------------------
% 0.15/0.58  % (9036)------------------------------
% 0.15/0.59  % (9041)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.59  % (9033)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)
% 0.15/0.59  % (9042)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)
% 0.15/0.59  % (9044)Instruction limit reached!
% 0.15/0.59  % (9044)------------------------------
% 0.15/0.59  % (9044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59  % (9044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (9044)Termination reason: Unknown
% 0.15/0.59  % (9044)Termination phase: Saturation
% 0.15/0.59  
% 0.15/0.59  % (9044)Memory used [KB]: 6524
% 0.15/0.59  % (9044)Time elapsed: 0.209 s
% 0.15/0.59  % (9044)Instructions burned: 31 (million)
% 0.15/0.59  % (9044)------------------------------
% 0.15/0.59  % (9044)------------------------------
% 0.15/0.59  % (9042)Instruction limit reached!
% 0.15/0.59  % (9042)------------------------------
% 0.15/0.59  % (9042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59  % (9042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (9042)Termination reason: Unknown
% 0.15/0.59  % (9042)Termination phase: Preprocessing 3
% 0.15/0.59  
% 0.15/0.59  % (9042)Memory used [KB]: 1535
% 0.15/0.59  % (9042)Time elapsed: 0.003 s
% 0.15/0.59  % (9042)Instructions burned: 3 (million)
% 0.15/0.59  % (9042)------------------------------
% 0.15/0.59  % (9042)------------------------------
% 0.15/0.59  % (9026)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)
% 0.15/0.59  % (9026)Instruction limit reached!
% 0.15/0.59  % (9026)------------------------------
% 0.15/0.59  % (9026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.59  % (9026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.59  % (9026)Termination reason: Unknown
% 0.15/0.59  % (9026)Termination phase: Preprocessing 2
% 0.15/0.59  
% 0.15/0.59  % (9026)Memory used [KB]: 1535
% 0.15/0.59  % (9026)Time elapsed: 0.003 s
% 0.15/0.59  % (9026)Instructions burned: 3 (million)
% 0.15/0.59  % (9026)------------------------------
% 0.15/0.59  % (9026)------------------------------
% 0.15/0.60  % (9055)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.15/0.60  % (9041)Instruction limit reached!
% 0.15/0.60  % (9041)------------------------------
% 0.15/0.60  % (9041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60  % (9041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60  % (9041)Termination reason: Unknown
% 0.15/0.60  % (9041)Termination phase: Naming
% 0.15/0.60  
% 0.15/0.60  % (9041)Memory used [KB]: 1535
% 0.15/0.60  % (9041)Time elapsed: 0.004 s
% 0.15/0.60  % (9041)Instructions burned: 3 (million)
% 0.15/0.60  % (9041)------------------------------
% 0.15/0.60  % (9041)------------------------------
% 0.15/0.61  % (9055)Instruction limit reached!
% 0.15/0.61  % (9055)------------------------------
% 0.15/0.61  % (9055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.61  % (9055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.61  % (9055)Termination reason: Unknown
% 0.15/0.61  % (9055)Termination phase: Saturation
% 0.15/0.61  
% 0.15/0.61  % (9055)Memory used [KB]: 10618
% 0.15/0.61  % (9055)Time elapsed: 0.014 s
% 0.15/0.61  % (9055)Instructions burned: 7 (million)
% 0.15/0.61  % (9055)------------------------------
% 0.15/0.61  % (9055)------------------------------
% 0.15/0.61  % (9053)Instruction limit reached!
% 0.15/0.61  % (9053)------------------------------
% 0.15/0.61  % (9053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.61  % (9053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.61  % (9053)Termination reason: Unknown
% 0.15/0.61  % (9053)Termination phase: Saturation
% 0.15/0.61  
% 0.15/0.61  % (9053)Memory used [KB]: 6396
% 0.15/0.61  % (9053)Time elapsed: 0.216 s
% 0.15/0.61  % (9053)Instructions burned: 24 (million)
% 0.15/0.61  % (9053)------------------------------
% 0.15/0.61  % (9053)------------------------------
% 0.15/0.61  % (9057)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 0.15/0.61  % (9034)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)
% 0.15/0.62  % (9024)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.24/0.63  % (9025)Instruction limit reached!
% 2.24/0.63  % (9025)------------------------------
% 2.24/0.63  % (9025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.63  % (9025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.63  % (9025)Termination reason: Unknown
% 2.24/0.63  % (9025)Termination phase: Saturation
% 2.24/0.63  
% 2.24/0.63  % (9025)Memory used [KB]: 6268
% 2.24/0.63  % (9025)Time elapsed: 0.243 s
% 2.24/0.63  % (9025)Instructions burned: 13 (million)
% 2.24/0.63  % (9025)------------------------------
% 2.24/0.63  % (9025)------------------------------
% 2.24/0.64  % (9034)Instruction limit reached!
% 2.24/0.64  % (9034)------------------------------
% 2.24/0.64  % (9034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (9034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (9034)Termination reason: Unknown
% 2.24/0.64  % (9034)Termination phase: Saturation
% 2.24/0.64  
% 2.24/0.64  % (9034)Memory used [KB]: 6268
% 2.24/0.64  % (9034)Time elapsed: 0.259 s
% 2.24/0.64  % (9034)Instructions burned: 13 (million)
% 2.24/0.64  % (9034)------------------------------
% 2.24/0.64  % (9034)------------------------------
% 2.60/0.65  % (9046)Instruction limit reached!
% 2.60/0.65  % (9046)------------------------------
% 2.60/0.65  % (9046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.65  % (9046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.65  % (9046)Termination reason: Unknown
% 2.60/0.65  % (9046)Termination phase: Saturation
% 2.60/0.65  
% 2.60/0.65  % (9046)Memory used [KB]: 8315
% 2.60/0.65  % (9046)Time elapsed: 0.286 s
% 2.60/0.65  % (9046)Instructions burned: 82 (million)
% 2.60/0.65  % (9046)------------------------------
% 2.60/0.65  % (9046)------------------------------
% 2.60/0.66  % (9059)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.60/0.67  % (9037)Instruction limit reached!
% 2.60/0.67  % (9037)------------------------------
% 2.60/0.67  % (9037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (9037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (9037)Termination reason: Unknown
% 2.60/0.67  % (9037)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (9037)Memory used [KB]: 7291
% 2.60/0.67  % (9037)Time elapsed: 0.299 s
% 2.60/0.67  % (9037)Instructions burned: 51 (million)
% 2.60/0.67  % (9037)------------------------------
% 2.60/0.67  % (9037)------------------------------
% 2.60/0.67  % (9058)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.60/0.68  % (9054)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.60/0.70  % (9033)Instruction limit reached!
% 2.60/0.70  % (9033)------------------------------
% 2.60/0.70  % (9033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.70  % (9033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.70  % (9033)Termination reason: Unknown
% 2.60/0.70  % (9033)Termination phase: Saturation
% 2.60/0.70  
% 2.60/0.70  % (9033)Memory used [KB]: 6652
% 2.60/0.70  % (9033)Time elapsed: 0.273 s
% 2.60/0.70  % (9033)Instructions burned: 33 (million)
% 2.60/0.70  % (9033)------------------------------
% 2.60/0.70  % (9033)------------------------------
% 2.92/0.70  % (9057)Instruction limit reached!
% 2.92/0.70  % (9057)------------------------------
% 2.92/0.70  % (9057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.70  % (9057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.70  % (9057)Termination reason: Unknown
% 2.92/0.70  % (9057)Termination phase: Saturation
% 2.92/0.70  
% 2.92/0.70  % (9057)Memory used [KB]: 2814
% 2.92/0.70  % (9057)Time elapsed: 0.115 s
% 2.92/0.70  % (9057)Instructions burned: 69 (million)
% 2.92/0.70  % (9057)------------------------------
% 2.92/0.70  % (9057)------------------------------
% 2.92/0.70  % (9027)Instruction limit reached!
% 2.92/0.70  % (9027)------------------------------
% 2.92/0.70  % (9027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.70  % (9027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.70  % (9027)Termination reason: Unknown
% 2.92/0.70  % (9027)Termination phase: Saturation
% 2.92/0.70  
% 2.92/0.70  % (9027)Memory used [KB]: 7164
% 2.92/0.70  % (9027)Time elapsed: 0.298 s
% 2.92/0.70  % (9027)Instructions burned: 51 (million)
% 2.92/0.70  % (9027)------------------------------
% 2.92/0.70  % (9027)------------------------------
% 2.92/0.71  % (9056)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.92/0.71  % (9059)First to succeed.
% 2.92/0.72  % (9065)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.92/0.72  % (9066)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.92/0.72  % (9073)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.92/0.73  % (9064)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.92/0.74  % (9059)Refutation found. Thanks to Tanya!
% 2.92/0.74  % SZS status Theorem for theBenchmark
% 2.92/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.74  % (9059)------------------------------
% 2.92/0.74  % (9059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.74  % (9059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.74  % (9059)Termination reason: Refutation
% 2.92/0.74  
% 2.92/0.74  % (9059)Memory used [KB]: 6524
% 2.92/0.74  % (9059)Time elapsed: 0.165 s
% 2.92/0.74  % (9059)Instructions burned: 35 (million)
% 2.92/0.74  % (9059)------------------------------
% 2.92/0.74  % (9059)------------------------------
% 2.92/0.74  % (9023)Success in time 0.426 s
%------------------------------------------------------------------------------