TSTP Solution File: SWC108+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC108+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 : n007.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 18:38:51 EDT 2022

% Result   : Theorem 2.81s 0.73s
% Output   : Refutation 2.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  119 (  12 unt;   0 def)
%            Number of atoms       :  523 ( 139 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  619 ( 215   ~; 221   |; 145   &)
%                                         (  14 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  122 (  81   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2577,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f267,f274,f279,f280,f281,f298,f884,f987,f1710,f2500,f2558]) ).

fof(f2558,plain,
    ( ~ spl11_2
    | ~ spl11_3
    | spl11_5 ),
    inference(avatar_contradiction_clause,[],[f2557]) ).

fof(f2557,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_3
    | spl11_5 ),
    inference(subsumption_resolution,[],[f2556,f2061]) ).

fof(f2061,plain,
    ( segmentP(nil,nil)
    | ~ spl11_2 ),
    inference(backward_demodulation,[],[f1702,f256]) ).

fof(f256,plain,
    ( nil = sK7
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl11_2
  <=> nil = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f1702,plain,
    segmentP(sK7,sK7),
    inference(subsumption_resolution,[],[f1701,f183]) ).

fof(f183,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f1701,plain,
    ( segmentP(sK7,sK7)
    | ~ ssList(nil) ),
    inference(superposition,[],[f550,f303]) ).

fof(f303,plain,
    app(sK7,nil) = sK7,
    inference(resolution,[],[f237,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f237,plain,
    ssList(sK7),
    inference(definition_unfolding,[],[f193,f195]) ).

fof(f195,plain,
    sK5 = sK7,
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ssList(sK6)
    & sK6 = sK4
    & ( ( nil = sK6
        & nil = sK7 )
      | ( neq(sK6,nil)
        & rearsegP(sK7,sK6) ) )
    & ( ( nil = sK5
        & nil != sK4 )
      | ( ( ~ segmentP(sK5,sK4)
          | ~ neq(sK4,nil) )
        & neq(sK5,nil) ) )
    & sK5 = sK7
    & ssList(sK7)
    & ssList(sK5)
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f107,f154,f153,f152,f151]) ).

fof(f151,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X0 = X2
                    & ( ( nil = X2
                        & nil = X3 )
                      | ( neq(X2,nil)
                        & rearsegP(X3,X2) ) )
                    & ( ( nil = X1
                        & nil != X0 )
                      | ( ( ~ segmentP(X1,X0)
                          | ~ neq(X0,nil) )
                        & neq(X1,nil) ) )
                    & X1 = X3
                    & ssList(X3) ) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( sK4 = X2
                  & ( ( nil = X2
                      & nil = X3 )
                    | ( neq(X2,nil)
                      & rearsegP(X3,X2) ) )
                  & ( ( nil = X1
                      & nil != sK4 )
                    | ( ( ~ segmentP(X1,sK4)
                        | ~ neq(sK4,nil) )
                      & neq(X1,nil) ) )
                  & X1 = X3
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( sK4 = X2
                & ( ( nil = X2
                    & nil = X3 )
                  | ( neq(X2,nil)
                    & rearsegP(X3,X2) ) )
                & ( ( nil = X1
                    & nil != sK4 )
                  | ( ( ~ segmentP(X1,sK4)
                      | ~ neq(sK4,nil) )
                    & neq(X1,nil) ) )
                & X1 = X3
                & ssList(X3) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK4 = X2
              & ( ( nil = X2
                  & nil = X3 )
                | ( neq(X2,nil)
                  & rearsegP(X3,X2) ) )
              & ( ( nil = sK5
                  & nil != sK4 )
                | ( ( ~ segmentP(sK5,sK4)
                    | ~ neq(sK4,nil) )
                  & neq(sK5,nil) ) )
              & sK5 = X3
              & ssList(X3) ) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK4 = X2
            & ( ( nil = X2
                & nil = X3 )
              | ( neq(X2,nil)
                & rearsegP(X3,X2) ) )
            & ( ( nil = sK5
                & nil != sK4 )
              | ( ( ~ segmentP(sK5,sK4)
                  | ~ neq(sK4,nil) )
                & neq(sK5,nil) ) )
            & sK5 = X3
            & ssList(X3) ) )
   => ( ssList(sK6)
      & ? [X3] :
          ( sK6 = sK4
          & ( ( nil = sK6
              & nil = X3 )
            | ( neq(sK6,nil)
              & rearsegP(X3,sK6) ) )
          & ( ( nil = sK5
              & nil != sK4 )
            | ( ( ~ segmentP(sK5,sK4)
                | ~ neq(sK4,nil) )
              & neq(sK5,nil) ) )
          & sK5 = X3
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( ? [X3] :
        ( sK6 = sK4
        & ( ( nil = sK6
            & nil = X3 )
          | ( neq(sK6,nil)
            & rearsegP(X3,sK6) ) )
        & ( ( nil = sK5
            & nil != sK4 )
          | ( ( ~ segmentP(sK5,sK4)
              | ~ neq(sK4,nil) )
            & neq(sK5,nil) ) )
        & sK5 = X3
        & ssList(X3) )
   => ( sK6 = sK4
      & ( ( nil = sK6
          & nil = sK7 )
        | ( neq(sK6,nil)
          & rearsegP(sK7,sK6) ) )
      & ( ( nil = sK5
          & nil != sK4 )
        | ( ( ~ segmentP(sK5,sK4)
            | ~ neq(sK4,nil) )
          & neq(sK5,nil) ) )
      & sK5 = sK7
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X0 = X2
                  & ( ( nil = X2
                      & nil = X3 )
                    | ( neq(X2,nil)
                      & rearsegP(X3,X2) ) )
                  & ( ( nil = X1
                      & nil != X0 )
                    | ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) ) )
                  & X1 = X3
                  & ssList(X3) ) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ( neq(X2,nil)
                      & rearsegP(X3,X2) ) )
                  & X1 = X3
                  & ( ( nil = X1
                      & nil != X0 )
                    | ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & 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)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ( ~ rearsegP(X3,X2)
                          | ~ neq(X2,nil) ) )
                      | X1 != X3
                      | ( ( ~ neq(X1,nil)
                          | ( neq(X0,nil)
                            & segmentP(X1,X0) ) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | X0 != X2 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f193,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f155]) ).

fof(f550,plain,
    ! [X3] :
      ( segmentP(app(sK7,X3),sK7)
      | ~ ssList(X3) ),
    inference(subsumption_resolution,[],[f549,f301]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ssList(app(sK7,X0)) ),
    inference(resolution,[],[f237,f213]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,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(f549,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | ~ ssList(app(sK7,X3))
      | segmentP(app(sK7,X3),sK7) ),
    inference(subsumption_resolution,[],[f548,f183]) ).

fof(f548,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | segmentP(app(sK7,X3),sK7)
      | ~ ssList(nil)
      | ~ ssList(app(sK7,X3)) ),
    inference(subsumption_resolution,[],[f542,f237]) ).

fof(f542,plain,
    ! [X3] :
      ( segmentP(app(sK7,X3),sK7)
      | ~ ssList(X3)
      | ~ ssList(app(sK7,X3))
      | ~ ssList(sK7)
      | ~ ssList(nil) ),
    inference(superposition,[],[f238,f302]) ).

fof(f302,plain,
    sK7 = app(nil,sK7),
    inference(resolution,[],[f237,f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,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(f238,plain,
    ! [X1,X4,X5] :
      ( ~ ssList(app(app(X4,X1),X5))
      | ~ ssList(X1)
      | segmentP(app(app(X4,X1),X5),X1)
      | ~ ssList(X4)
      | ~ ssList(X5) ),
    inference(equality_resolution,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1,X4,X5] :
      ( ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(X4)
      | app(app(X4,X1),X5) != X0
      | ~ ssList(X5)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( ( ssList(sK0(X0,X1))
                & app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
                & ssList(sK1(X0,X1)) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X4] :
                  ( ~ ssList(X4)
                  | ! [X5] :
                      ( app(app(X4,X1),X5) != X0
                      | ~ ssList(X5) ) ) ) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f141,f143,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( app(app(X2,X1),X3) = X0
              & ssList(X3) ) )
     => ( ssList(sK0(X0,X1))
        & ? [X3] :
            ( app(app(sK0(X0,X1),X1),X3) = X0
            & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(app(sK0(X0,X1),X1),X3) = X0
          & ssList(X3) )
     => ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
        & ssList(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X4] :
                  ( ~ ssList(X4)
                  | ! [X5] :
                      ( app(app(X4,X1),X5) != X0
                      | ~ ssList(X5) ) ) ) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) ) )
              | ~ segmentP(X0,X1) )
            & ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) ) ) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) ) )
          <=> segmentP(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f2556,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl11_2
    | ~ spl11_3
    | spl11_5 ),
    inference(forward_demodulation,[],[f2555,f256]) ).

fof(f2555,plain,
    ( ~ segmentP(sK7,nil)
    | ~ spl11_3
    | spl11_5 ),
    inference(forward_demodulation,[],[f273,f260]) ).

fof(f260,plain,
    ( nil = sK4
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl11_3
  <=> nil = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f273,plain,
    ( ~ segmentP(sK7,sK4)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl11_5
  <=> segmentP(sK7,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f2500,plain,
    ( ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | spl11_4 ),
    inference(avatar_contradiction_clause,[],[f2499]) ).

fof(f2499,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_2
    | ~ spl11_3
    | spl11_4 ),
    inference(subsumption_resolution,[],[f2198,f1712]) ).

fof(f1712,plain,
    ( neq(nil,nil)
    | ~ spl11_1
    | ~ spl11_2 ),
    inference(backward_demodulation,[],[f252,f256]) ).

fof(f252,plain,
    ( neq(sK7,nil)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl11_1
  <=> neq(sK7,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f2198,plain,
    ( ~ neq(nil,nil)
    | ~ spl11_3
    | spl11_4 ),
    inference(backward_demodulation,[],[f265,f260]) ).

fof(f265,plain,
    ( ~ neq(sK4,nil)
    | spl11_4 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl11_4
  <=> neq(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f1710,plain,
    ( spl11_5
    | ~ spl11_34 ),
    inference(avatar_split_clause,[],[f1709,f882,f271]) ).

fof(f882,plain,
    ( spl11_34
  <=> ! [X0] :
        ( segmentP(app(sK7,X0),sK4)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).

fof(f1709,plain,
    ( segmentP(sK7,sK4)
    | ~ spl11_34 ),
    inference(subsumption_resolution,[],[f1705,f183]) ).

fof(f1705,plain,
    ( ~ ssList(nil)
    | segmentP(sK7,sK4)
    | ~ spl11_34 ),
    inference(superposition,[],[f883,f303]) ).

fof(f883,plain,
    ( ! [X0] :
        ( segmentP(app(sK7,X0),sK4)
        | ~ ssList(X0) )
    | ~ spl11_34 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f987,plain,
    ( spl11_33
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f982,f276,f878]) ).

fof(f878,plain,
    ( spl11_33
  <=> ssList(sK8(sK7,sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).

fof(f276,plain,
    ( spl11_6
  <=> rearsegP(sK7,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f982,plain,
    ( ssList(sK8(sK7,sK4))
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f975,f228]) ).

fof(f228,plain,
    ssList(sK4),
    inference(definition_unfolding,[],[f205,f204]) ).

fof(f204,plain,
    sK6 = sK4,
    inference(cnf_transformation,[],[f155]) ).

fof(f205,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f155]) ).

fof(f975,plain,
    ( ~ ssList(sK4)
    | ssList(sK8(sK7,sK4))
    | ~ spl11_6 ),
    inference(resolution,[],[f322,f278]) ).

fof(f278,plain,
    ( rearsegP(sK7,sK4)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f322,plain,
    ! [X2] :
      ( ~ rearsegP(sK7,X2)
      | ~ ssList(X2)
      | ssList(sK8(sK7,X2)) ),
    inference(resolution,[],[f211,f237]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(sK8(X0,X1))
      | ~ rearsegP(X0,X1) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( ssList(sK8(X0,X1))
                & app(sK8(X0,X1),X1) = X0 )
              | ~ rearsegP(X0,X1) )
            & ( rearsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X3,X1) != X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f158,f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssList(X2)
          & app(X2,X1) = X0 )
     => ( ssList(sK8(X0,X1))
        & app(sK8(X0,X1),X1) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X2,X1) = X0 )
              | ~ rearsegP(X0,X1) )
            & ( rearsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X3,X1) != X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X2,X1) = X0 )
              | ~ rearsegP(X0,X1) )
            & ( rearsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X2,X1) != X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 )
          <=> rearsegP(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 )
          <=> rearsegP(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f884,plain,
    ( ~ spl11_33
    | spl11_34
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f876,f276,f882,f878]) ).

fof(f876,plain,
    ( ! [X0] :
        ( segmentP(app(sK7,X0),sK4)
        | ~ ssList(sK8(sK7,sK4))
        | ~ ssList(X0) )
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f875,f301]) ).

fof(f875,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(sK7,X0),sK4)
        | ~ ssList(sK8(sK7,sK4))
        | ~ ssList(app(sK7,X0)) )
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f874,f228]) ).

fof(f874,plain,
    ( ! [X0] :
        ( ~ ssList(app(sK7,X0))
        | segmentP(app(sK7,X0),sK4)
        | ~ ssList(X0)
        | ~ ssList(sK4)
        | ~ ssList(sK8(sK7,sK4)) )
    | ~ spl11_6 ),
    inference(superposition,[],[f238,f441]) ).

fof(f441,plain,
    ( sK7 = app(sK8(sK7,sK4),sK4)
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f440,f237]) ).

fof(f440,plain,
    ( ~ ssList(sK7)
    | sK7 = app(sK8(sK7,sK4),sK4)
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f436,f228]) ).

fof(f436,plain,
    ( ~ ssList(sK4)
    | ~ ssList(sK7)
    | sK7 = app(sK8(sK7,sK4),sK4)
    | ~ spl11_6 ),
    inference(resolution,[],[f210,f278]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | app(sK8(X0,X1),X1) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f298,plain,
    ( ~ spl11_2
    | spl11_3
    | ~ spl11_6 ),
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | ~ spl11_2
    | spl11_3
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f296,f261]) ).

fof(f261,plain,
    ( nil != sK4
    | spl11_3 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f296,plain,
    ( nil = sK4
    | ~ spl11_2
    | ~ spl11_6 ),
    inference(subsumption_resolution,[],[f294,f282]) ).

fof(f282,plain,
    ( rearsegP(nil,sK4)
    | ~ spl11_2
    | ~ spl11_6 ),
    inference(backward_demodulation,[],[f278,f256]) ).

fof(f294,plain,
    ( ~ rearsegP(nil,sK4)
    | nil = sK4 ),
    inference(resolution,[],[f221,f228]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ~ rearsegP(nil,X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).

fof(f281,plain,
    ( spl11_2
    | spl11_6 ),
    inference(avatar_split_clause,[],[f232,f276,f254]) ).

fof(f232,plain,
    ( rearsegP(sK7,sK4)
    | nil = sK7 ),
    inference(definition_unfolding,[],[f200,f204]) ).

fof(f200,plain,
    ( nil = sK7
    | rearsegP(sK7,sK6) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f280,plain,
    ( ~ spl11_4
    | ~ spl11_3
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f235,f271,f259,f264]) ).

fof(f235,plain,
    ( ~ segmentP(sK7,sK4)
    | nil != sK4
    | ~ neq(sK4,nil) ),
    inference(definition_unfolding,[],[f197,f195]) ).

fof(f197,plain,
    ( nil != sK4
    | ~ segmentP(sK5,sK4)
    | ~ neq(sK4,nil) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f279,plain,
    ( spl11_3
    | spl11_6 ),
    inference(avatar_split_clause,[],[f230,f276,f259]) ).

fof(f230,plain,
    ( rearsegP(sK7,sK4)
    | nil = sK4 ),
    inference(definition_unfolding,[],[f202,f204,f204]) ).

fof(f202,plain,
    ( nil = sK6
    | rearsegP(sK7,sK6) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f274,plain,
    ( ~ spl11_4
    | spl11_2
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f233,f271,f254,f264]) ).

fof(f233,plain,
    ( ~ segmentP(sK7,sK4)
    | nil = sK7
    | ~ neq(sK4,nil) ),
    inference(definition_unfolding,[],[f199,f195,f195]) ).

fof(f199,plain,
    ( nil = sK5
    | ~ segmentP(sK5,sK4)
    | ~ neq(sK4,nil) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f267,plain,
    ( spl11_2
    | spl11_4 ),
    inference(avatar_split_clause,[],[f231,f264,f254]) ).

fof(f231,plain,
    ( neq(sK4,nil)
    | nil = sK7 ),
    inference(definition_unfolding,[],[f201,f204]) ).

fof(f201,plain,
    ( nil = sK7
    | neq(sK6,nil) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f262,plain,
    ( spl11_1
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f236,f259,f250]) ).

fof(f236,plain,
    ( nil != sK4
    | neq(sK7,nil) ),
    inference(definition_unfolding,[],[f196,f195]) ).

fof(f196,plain,
    ( nil != sK4
    | neq(sK5,nil) ),
    inference(cnf_transformation,[],[f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SWC108+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.26  % Computer : n007.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Tue Aug 30 20:27:31 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.39  % (24170)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)
% 0.10/0.40  % (24178)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)
% 0.10/0.41  % (24170)Instruction limit reached!
% 0.10/0.41  % (24170)------------------------------
% 0.10/0.41  % (24170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41  % (24170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41  % (24170)Termination reason: Unknown
% 0.10/0.41  % (24170)Termination phase: Function definition elimination
% 0.10/0.41  
% 0.10/0.41  % (24170)Memory used [KB]: 1791
% 0.10/0.41  % (24170)Time elapsed: 0.011 s
% 0.10/0.41  % (24170)Instructions burned: 8 (million)
% 0.10/0.41  % (24170)------------------------------
% 0.10/0.41  % (24170)------------------------------
% 0.10/0.46  % (24162)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)
% 0.10/0.46  % (24178)Instruction limit reached!
% 0.10/0.46  % (24178)------------------------------
% 0.10/0.46  % (24178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (24178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (24178)Termination reason: Unknown
% 0.10/0.46  % (24178)Termination phase: Saturation
% 0.10/0.46  
% 0.10/0.46  % (24178)Memory used [KB]: 2046
% 0.10/0.46  % (24178)Time elapsed: 0.110 s
% 0.10/0.46  % (24178)Instructions burned: 45 (million)
% 0.10/0.46  % (24178)------------------------------
% 0.10/0.46  % (24178)------------------------------
% 0.10/0.46  % (24169)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)
% 0.10/0.46  % (24169)Instruction limit reached!
% 0.10/0.46  % (24169)------------------------------
% 0.10/0.46  % (24169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46  % (24169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (24169)Termination reason: Unknown
% 0.10/0.46  % (24169)Termination phase: Preprocessing 3
% 0.10/0.46  
% 0.10/0.46  % (24169)Memory used [KB]: 1663
% 0.10/0.46  % (24169)Time elapsed: 0.004 s
% 0.10/0.46  % (24169)Instructions burned: 4 (million)
% 0.10/0.46  % (24169)------------------------------
% 0.10/0.46  % (24169)------------------------------
% 0.10/0.47  % (24177)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)
% 0.10/0.50  % (24155)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.10/0.51  % (24159)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)
% 0.10/0.51  % (24174)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)
% 0.10/0.52  % (24160)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)
% 0.10/0.52  % (24156)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)
% 0.10/0.52  % (24158)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)
% 0.10/0.52  % (24171)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)
% 0.10/0.52  % (24184)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)
% 0.10/0.52  % (24183)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)
% 0.10/0.52  % (24165)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)
% 0.10/0.53  % (24167)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)
% 0.10/0.53  % (24173)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)
% 0.10/0.53  % (24176)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)
% 0.10/0.53  % (24173)Instruction limit reached!
% 0.10/0.53  % (24173)------------------------------
% 0.10/0.53  % (24173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.53  % (24173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.53  % (24173)Termination reason: Unknown
% 0.10/0.53  % (24173)Termination phase: Preprocessing 2
% 0.10/0.53  
% 0.10/0.53  % (24173)Memory used [KB]: 1407
% 0.10/0.53  % (24173)Time elapsed: 0.004 s
% 0.10/0.53  % (24173)Instructions burned: 2 (million)
% 0.10/0.53  % (24173)------------------------------
% 0.10/0.53  % (24173)------------------------------
% 0.10/0.53  % (24181)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)
% 0.10/0.53  % (24163)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)
% 0.10/0.53  % (24175)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)
% 0.10/0.53  % (24204)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)
% 0.10/0.54  % (24179)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)
% 0.10/0.54  % (24168)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)
% 0.10/0.54  % (24156)Instruction limit reached!
% 0.10/0.54  % (24156)------------------------------
% 0.10/0.54  % (24156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.54  % (24156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54  % (24156)Termination reason: Unknown
% 0.10/0.54  % (24156)Termination phase: Saturation
% 0.10/0.54  
% 0.10/0.54  % (24156)Memory used [KB]: 6268
% 0.10/0.54  % (24156)Time elapsed: 0.191 s
% 0.10/0.54  % (24156)Instructions burned: 13 (million)
% 0.10/0.54  % (24156)------------------------------
% 0.10/0.54  % (24156)------------------------------
% 0.10/0.54  % (24162)Refutation not found, non-redundant clauses discarded% (24162)------------------------------
% 0.10/0.54  % (24162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.54  % (24162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54  % (24162)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.10/0.54  
% 0.10/0.54  % (24162)Memory used [KB]: 6524
% 0.10/0.54  % (24162)Time elapsed: 0.204 s
% 0.10/0.54  % (24162)Instructions burned: 37 (million)
% 0.10/0.54  % (24162)------------------------------
% 0.10/0.54  % (24162)------------------------------
% 0.10/0.54  % (24166)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)
% 0.10/0.54  % (24159)Instruction limit reached!
% 0.10/0.54  % (24159)------------------------------
% 0.10/0.54  % (24159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.54  % (24159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54  % (24159)Termination reason: Unknown
% 0.10/0.54  % (24159)Termination phase: Saturation
% 0.10/0.54  
% 0.10/0.54  % (24159)Memory used [KB]: 6268
% 0.10/0.54  % (24159)Time elapsed: 0.191 s
% 0.10/0.54  % (24159)Instructions burned: 13 (million)
% 0.10/0.54  % (24159)------------------------------
% 0.10/0.54  % (24159)------------------------------
% 0.10/0.55  % (24182)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)
% 0.10/0.55  % (24160)Instruction limit reached!
% 0.10/0.55  % (24160)------------------------------
% 0.10/0.55  % (24160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (24160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (24160)Termination reason: Unknown
% 0.10/0.55  % (24160)Termination phase: Saturation
% 0.10/0.55  
% 0.10/0.55  % (24160)Memory used [KB]: 1663
% 0.10/0.55  % (24160)Time elapsed: 0.216 s
% 0.10/0.55  % (24183)Instruction limit reached!
% 0.10/0.55  % (24183)------------------------------
% 0.10/0.55  % (24183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (24160)Instructions burned: 15 (million)
% 0.10/0.55  % (24160)------------------------------
% 0.10/0.55  % (24160)------------------------------
% 0.10/0.55  % (24183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (24183)Termination reason: Unknown
% 0.10/0.55  % (24183)Termination phase: Property scanning
% 0.10/0.55  
% 0.10/0.55  % (24183)Memory used [KB]: 1791
% 0.10/0.55  % (24183)Time elapsed: 0.007 s
% 0.10/0.55  % (24183)Instructions burned: 9 (million)
% 0.10/0.55  % (24183)------------------------------
% 0.10/0.55  % (24183)------------------------------
% 0.10/0.55  % (24165)Instruction limit reached!
% 0.10/0.55  % (24165)------------------------------
% 0.10/0.55  % (24165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (24165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (24165)Termination reason: Unknown
% 0.10/0.55  % (24165)Termination phase: Saturation
% 0.10/0.55  
% 0.10/0.55  % (24165)Memory used [KB]: 6268
% 0.10/0.55  % (24165)Time elapsed: 0.200 s
% 0.10/0.55  % (24165)Instructions burned: 13 (million)
% 0.10/0.55  % (24165)------------------------------
% 0.10/0.55  % (24165)------------------------------
% 0.10/0.55  % (24167)Instruction limit reached!
% 0.10/0.55  % (24167)------------------------------
% 0.10/0.55  % (24167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (24167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (24167)Termination reason: Unknown
% 0.10/0.55  % (24167)Termination phase: Saturation
% 0.10/0.55  
% 0.10/0.55  % (24167)Memory used [KB]: 2046
% 0.10/0.55  % (24167)Time elapsed: 0.216 s
% 0.10/0.55  % (24167)Instructions burned: 16 (million)
% 0.10/0.55  % (24167)------------------------------
% 0.10/0.55  % (24167)------------------------------
% 0.10/0.56  % (24174)Refutation not found, incomplete strategy% (24174)------------------------------
% 0.10/0.56  % (24174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (24174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (24174)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.56  
% 0.10/0.56  % (24174)Memory used [KB]: 6140
% 0.10/0.56  % (24174)Time elapsed: 0.225 s
% 0.10/0.56  % (24174)Instructions burned: 5 (million)
% 0.10/0.56  % (24174)------------------------------
% 0.10/0.56  % (24174)------------------------------
% 0.10/0.56  % (24166)Instruction limit reached!
% 0.10/0.56  % (24166)------------------------------
% 0.10/0.56  % (24166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (24166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (24166)Termination reason: Unknown
% 0.10/0.56  % (24166)Termination phase: Saturation
% 0.10/0.56  
% 0.10/0.56  % (24166)Memory used [KB]: 6140
% 0.10/0.56  % (24166)Time elapsed: 0.225 s
% 0.10/0.56  % (24166)Instructions burned: 7 (million)
% 0.10/0.56  % (24166)------------------------------
% 0.10/0.56  % (24166)------------------------------
% 0.10/0.56  % (24164)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)
% 0.10/0.56  % (24161)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)
% 2.10/0.56  % (24157)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)
% 2.10/0.56  % (24157)Instruction limit reached!
% 2.10/0.56  % (24157)------------------------------
% 2.10/0.56  % (24157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.56  % (24157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.56  % (24157)Termination reason: Unknown
% 2.10/0.56  % (24157)Termination phase: Naming
% 2.10/0.56  
% 2.10/0.56  % (24157)Memory used [KB]: 1535
% 2.10/0.56  % (24157)Time elapsed: 0.003 s
% 2.10/0.56  % (24157)Instructions burned: 3 (million)
% 2.10/0.56  % (24157)------------------------------
% 2.10/0.56  % (24157)------------------------------
% 2.10/0.56  % (24171)Refutation not found, incomplete strategy% (24171)------------------------------
% 2.10/0.56  % (24171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.56  % (24171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.56  % (24171)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.56  
% 2.10/0.56  % (24171)Memory used [KB]: 6524
% 2.10/0.56  % (24171)Time elapsed: 0.226 s
% 2.10/0.56  % (24171)Instructions burned: 15 (million)
% 2.10/0.56  % (24171)------------------------------
% 2.10/0.56  % (24171)------------------------------
% 2.10/0.57  % (24180)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)
% 2.10/0.58  % (24172)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.33/0.58  % (24175)Instruction limit reached!
% 2.33/0.58  % (24175)------------------------------
% 2.33/0.58  % (24175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.58  % (24175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.58  % (24175)Termination reason: Unknown
% 2.33/0.58  % (24175)Termination phase: Saturation
% 2.33/0.58  
% 2.33/0.58  % (24175)Memory used [KB]: 6524
% 2.33/0.58  % (24175)Time elapsed: 0.251 s
% 2.33/0.58  % (24175)Instructions burned: 30 (million)
% 2.33/0.58  % (24175)------------------------------
% 2.33/0.58  % (24175)------------------------------
% 2.33/0.59  % (24172)Instruction limit reached!
% 2.33/0.59  % (24172)------------------------------
% 2.33/0.59  % (24172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.59  % (24172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.59  % (24172)Termination reason: Unknown
% 2.33/0.59  % (24172)Termination phase: Preprocessing 3
% 2.33/0.59  
% 2.33/0.59  % (24172)Memory used [KB]: 1663
% 2.33/0.59  % (24172)Time elapsed: 0.004 s
% 2.33/0.59  % (24172)Instructions burned: 5 (million)
% 2.33/0.59  % (24172)------------------------------
% 2.33/0.59  % (24172)------------------------------
% 2.33/0.59  % (24182)Instruction limit reached!
% 2.33/0.59  % (24182)------------------------------
% 2.33/0.59  % (24182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.59  % (24182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.59  % (24182)Termination reason: Unknown
% 2.33/0.59  % (24182)Termination phase: Saturation
% 2.33/0.59  
% 2.33/0.59  % (24182)Memory used [KB]: 6652
% 2.33/0.59  % (24182)Time elapsed: 0.246 s
% 2.33/0.59  % (24182)Instructions burned: 26 (million)
% 2.33/0.59  % (24182)------------------------------
% 2.33/0.59  % (24182)------------------------------
% 2.33/0.59  % (24184)Instruction limit reached!
% 2.33/0.59  % (24184)------------------------------
% 2.33/0.59  % (24184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.60  % (24184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.60  % (24184)Termination reason: Unknown
% 2.33/0.60  % (24184)Termination phase: Saturation
% 2.33/0.60  
% 2.33/0.60  % (24184)Memory used [KB]: 6396
% 2.33/0.60  % (24184)Time elapsed: 0.258 s
% 2.33/0.60  % (24184)Instructions burned: 24 (million)
% 2.33/0.60  % (24184)------------------------------
% 2.33/0.60  % (24184)------------------------------
% 2.33/0.61  % (24158)Instruction limit reached!
% 2.33/0.61  % (24158)------------------------------
% 2.33/0.61  % (24158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.61  % (24158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.61  % (24158)Termination reason: Unknown
% 2.33/0.61  % (24158)Termination phase: Saturation
% 2.33/0.61  
% 2.33/0.61  % (24158)Memory used [KB]: 6908
% 2.33/0.61  % (24158)Time elapsed: 0.260 s
% 2.33/0.61  % (24158)Instructions burned: 51 (million)
% 2.33/0.61  % (24158)------------------------------
% 2.33/0.61  % (24158)------------------------------
% 2.33/0.61  % (24209)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)
% 2.33/0.61  % (24179)Instruction limit reached!
% 2.33/0.61  % (24179)------------------------------
% 2.33/0.61  % (24179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.61  % (24209)Instruction limit reached!
% 2.33/0.61  % (24209)------------------------------
% 2.33/0.61  % (24209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.62  % (24168)Instruction limit reached!
% 2.33/0.62  % (24168)------------------------------
% 2.33/0.62  % (24168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.62  % (24209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.62  % (24209)Termination reason: Unknown
% 2.33/0.62  % (24209)Termination phase: Saturation
% 2.33/0.62  
% 2.33/0.62  % (24209)Memory used [KB]: 10618
% 2.33/0.62  % (24209)Time elapsed: 0.058 s
% 2.33/0.62  % (24209)Instructions burned: 7 (million)
% 2.33/0.62  % (24209)------------------------------
% 2.33/0.62  % (24209)------------------------------
% 2.33/0.62  % (24177)Instruction limit reached!
% 2.33/0.62  % (24177)------------------------------
% 2.33/0.62  % (24177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.62  % (24177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.62  % (24177)Termination reason: Unknown
% 2.33/0.62  % (24177)Termination phase: Saturation
% 2.33/0.62  
% 2.33/0.62  % (24177)Memory used [KB]: 8187
% 2.33/0.62  % (24177)Time elapsed: 0.293 s
% 2.33/0.62  % (24177)Instructions burned: 83 (million)
% 2.33/0.62  % (24177)------------------------------
% 2.33/0.62  % (24177)------------------------------
% 2.33/0.62  % (24210)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)
% 2.33/0.63  % (24179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.63  % (24179)Termination reason: Unknown
% 2.33/0.63  % (24179)Termination phase: Saturation
% 2.33/0.63  
% 2.33/0.63  % (24179)Memory used [KB]: 6652
% 2.33/0.63  % (24179)Time elapsed: 0.268 s
% 2.33/0.63  % (24179)Instructions burned: 50 (million)
% 2.33/0.63  % (24179)------------------------------
% 2.33/0.63  % (24179)------------------------------
% 2.33/0.63  % (24163)Instruction limit reached!
% 2.33/0.63  % (24163)------------------------------
% 2.33/0.63  % (24163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.63  % (24163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.63  % (24163)Termination reason: Unknown
% 2.33/0.63  % (24163)Termination phase: Saturation
% 2.33/0.63  
% 2.33/0.63  % (24163)Memory used [KB]: 6780
% 2.33/0.63  % (24163)Time elapsed: 0.261 s
% 2.33/0.63  % (24163)Instructions burned: 49 (million)
% 2.33/0.63  % (24163)------------------------------
% 2.33/0.63  % (24163)------------------------------
% 2.33/0.63  % (24168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.63  % (24168)Termination reason: Unknown
% 2.33/0.63  % (24168)Termination phase: Saturation
% 2.33/0.63  
% 2.33/0.63  % (24168)Memory used [KB]: 6908
% 2.33/0.63  % (24168)Time elapsed: 0.287 s
% 2.33/0.63  % (24168)Instructions burned: 51 (million)
% 2.33/0.63  % (24168)------------------------------
% 2.33/0.63  % (24168)------------------------------
% 2.33/0.65  % (24164)Instruction limit reached!
% 2.33/0.65  % (24164)------------------------------
% 2.33/0.65  % (24164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.65  % (24164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65  % (24164)Termination reason: Unknown
% 2.33/0.65  % (24164)Termination phase: Saturation
% 2.67/0.65  
% 2.67/0.65  % (24164)Memory used [KB]: 6780
% 2.67/0.65  % (24164)Time elapsed: 0.293 s
% 2.67/0.65  % (24164)Instructions burned: 34 (million)
% 2.67/0.65  % (24164)------------------------------
% 2.67/0.65  % (24164)------------------------------
% 2.67/0.65  % (24161)Instruction limit reached!
% 2.67/0.65  % (24161)------------------------------
% 2.67/0.65  % (24161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.65  % (24161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.65  % (24161)Termination reason: Unknown
% 2.67/0.65  % (24161)Termination phase: Saturation
% 2.67/0.65  
% 2.67/0.65  % (24161)Memory used [KB]: 6396
% 2.67/0.65  % (24161)Time elapsed: 0.281 s
% 2.67/0.65  % (24161)Instructions burned: 39 (million)
% 2.67/0.65  % (24161)------------------------------
% 2.67/0.65  % (24161)------------------------------
% 2.67/0.66  % (24204)Instruction limit reached!
% 2.67/0.66  % (24204)------------------------------
% 2.67/0.66  % (24204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.67  % (24213)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.72/0.67  % (24216)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.72/0.67  % (24223)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)
% 2.72/0.67  % (24219)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.72/0.68  % (24204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.68  % (24204)Termination reason: Unknown
% 2.72/0.68  % (24204)Termination phase: Saturation
% 2.72/0.68  
% 2.72/0.68  % (24204)Memory used [KB]: 6908
% 2.72/0.68  % (24204)Time elapsed: 0.143 s
% 2.72/0.68  % (24204)Instructions burned: 93 (million)
% 2.72/0.68  % (24204)------------------------------
% 2.72/0.68  % (24204)------------------------------
% 2.72/0.68  % (24226)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.72/0.68  % (24220)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.72/0.68  % (24224)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)
% 2.72/0.69  % (24215)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 (2997ds/107Mi)
% 2.72/0.69  % (24222)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)
% 2.72/0.69  % (24176)Instruction limit reached!
% 2.72/0.69  % (24176)------------------------------
% 2.72/0.69  % (24176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.69  % (24176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.69  % (24176)Termination reason: Unknown
% 2.72/0.69  % (24176)Termination phase: Saturation
% 2.72/0.69  
% 2.72/0.69  % (24176)Memory used [KB]: 7675
% 2.72/0.69  % (24176)Time elapsed: 0.341 s
% 2.72/0.69  % (24176)Instructions burned: 101 (million)
% 2.72/0.69  % (24176)------------------------------
% 2.72/0.69  % (24176)------------------------------
% 2.72/0.69  % (24225)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.72/0.69  % (24218)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.72/0.71  % (24180)First to succeed.
% 2.72/0.71  % (24181)Instruction limit reached!
% 2.72/0.71  % (24181)------------------------------
% 2.72/0.71  % (24181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.71  % (24181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.71  % (24181)Termination reason: Unknown
% 2.72/0.71  % (24181)Termination phase: Saturation
% 2.72/0.71  
% 2.72/0.71  % (24181)Memory used [KB]: 7419
% 2.72/0.71  % (24181)Time elapsed: 0.379 s
% 2.72/0.71  % (24181)Instructions burned: 100 (million)
% 2.72/0.71  % (24181)------------------------------
% 2.72/0.71  % (24181)------------------------------
% 2.72/0.71  % (24221)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.72/0.71  % (24240)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 2.81/0.72  % (24234)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.81/0.72  % (24230)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.81/0.72  % (24216)Also succeeded, but the first one will report.
% 2.81/0.73  % (24180)Refutation found. Thanks to Tanya!
% 2.81/0.73  % SZS status Theorem for theBenchmark
% 2.81/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.81/0.73  % (24180)------------------------------
% 2.81/0.73  % (24180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.73  % (24180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.73  % (24180)Termination reason: Refutation
% 2.81/0.73  
% 2.81/0.73  % (24180)Memory used [KB]: 7419
% 2.81/0.73  % (24180)Time elapsed: 0.335 s
% 2.81/0.73  % (24180)Instructions burned: 87 (million)
% 2.81/0.73  % (24180)------------------------------
% 2.81/0.73  % (24180)------------------------------
% 2.81/0.73  % (24154)Success in time 0.463 s
%------------------------------------------------------------------------------