TSTP Solution File: SWC039+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC039+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_sat --cores 0 -t %d %s

% Computer : n001.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 18:41:20 EDT 2022

% Result   : Theorem 6.68s 1.20s
% Output   : Refutation 6.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   85 (  13 unt;   0 def)
%            Number of atoms       :  485 ( 148 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  591 ( 191   ~; 169   |; 192   &)
%                                         (  13 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  10 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :  157 (  89   !;  68   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8131,plain,
    $false,
    inference(avatar_sat_refutation,[],[f631,f632,f638,f646,f741,f1363,f7598,f7650,f8105,f8117]) ).

fof(f8117,plain,
    ( spl61_8
    | ~ spl61_21
    | ~ spl61_402 ),
    inference(avatar_split_clause,[],[f8107,f7591,f1057,f724]) ).

fof(f724,plain,
    ( spl61_8
  <=> nil = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_8])]) ).

fof(f1057,plain,
    ( spl61_21
  <=> ssList(sK37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_21])]) ).

fof(f7591,plain,
    ( spl61_402
  <=> segmentP(nil,sK37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_402])]) ).

fof(f8107,plain,
    ( ~ ssList(sK37)
    | nil = sK37
    | ~ spl61_402 ),
    inference(resolution,[],[f7593,f571]) ).

fof(f571,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f355,plain,
    ! [X0] :
      ( ( ( nil = X0
          | ~ segmentP(nil,X0) )
        & ( segmentP(nil,X0)
          | nil != X0 ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ( nil = X0
      <=> segmentP(nil,X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
      <=> segmentP(nil,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f7593,plain,
    ( segmentP(nil,sK37)
    | ~ spl61_402 ),
    inference(avatar_component_clause,[],[f7591]) ).

fof(f8105,plain,
    ( ~ spl61_1
    | ~ spl61_2
    | spl61_403 ),
    inference(avatar_contradiction_clause,[],[f8104]) ).

fof(f8104,plain,
    ( $false
    | ~ spl61_1
    | ~ spl61_2
    | spl61_403 ),
    inference(resolution,[],[f8082,f651]) ).

fof(f651,plain,
    ( sP4(sK37,nil)
    | ~ spl61_1
    | ~ spl61_2 ),
    inference(backward_demodulation,[],[f650,f504]) ).

fof(f504,plain,
    sK39 = sK37,
    inference(cnf_transformation,[],[f314]) ).

fof(f314,plain,
    ( ssList(sK37)
    & ssList(sK39)
    & ssList(sK40)
    & nil = sK38
    & sK39 = sK37
    & nil != sK37
    & ( sP4(sK39,sK40)
      | ( nil = sK39
        & nil = sK40 ) )
    & sK38 = sK40
    & ssList(sK38) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40])],[f230,f313,f312,f311,f310]) ).

fof(f310,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & nil = X1
                    & X0 = X2
                    & nil != X0
                    & ( sP4(X2,X3)
                      | ( nil = X2
                        & nil = X3 ) )
                    & X1 = X3 ) )
            & ssList(X1) ) )
   => ( ssList(sK37)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & nil = X1
                  & sK37 = X2
                  & nil != sK37
                  & ( sP4(X2,X3)
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f311,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssList(X3)
                & nil = X1
                & sK37 = X2
                & nil != sK37
                & ( sP4(X2,X3)
                  | ( nil = X2
                    & nil = X3 ) )
                & X1 = X3 ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & nil = sK38
              & sK37 = X2
              & nil != sK37
              & ( sP4(X2,X3)
                | ( nil = X2
                  & nil = X3 ) )
              & sK38 = X3 ) )
      & ssList(sK38) ) ),
    introduced(choice_axiom,[]) ).

fof(f312,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ssList(X3)
            & nil = sK38
            & sK37 = X2
            & nil != sK37
            & ( sP4(X2,X3)
              | ( nil = X2
                & nil = X3 ) )
            & sK38 = X3 ) )
   => ( ssList(sK39)
      & ? [X3] :
          ( ssList(X3)
          & nil = sK38
          & sK39 = sK37
          & nil != sK37
          & ( sP4(sK39,X3)
            | ( nil = sK39
              & nil = X3 ) )
          & sK38 = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f313,plain,
    ( ? [X3] :
        ( ssList(X3)
        & nil = sK38
        & sK39 = sK37
        & nil != sK37
        & ( sP4(sK39,X3)
          | ( nil = sK39
            & nil = X3 ) )
        & sK38 = X3 )
   => ( ssList(sK40)
      & nil = sK38
      & sK39 = sK37
      & nil != sK37
      & ( sP4(sK39,sK40)
        | ( nil = sK39
          & nil = sK40 ) )
      & sK38 = sK40 ) ),
    introduced(choice_axiom,[]) ).

fof(f230,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & nil = X1
                  & X0 = X2
                  & nil != X0
                  & ( sP4(X2,X3)
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) )
          & ssList(X1) ) ),
    inference(definition_folding,[],[f141,f229]) ).

fof(f229,plain,
    ! [X2,X3] :
      ( ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ? [X6] :
                  ( ! [X8] :
                      ( ~ memberP(X6,X8)
                      | ~ lt(X8,X4)
                      | ~ ssItem(X8) )
                  & ssList(X6)
                  & ! [X7] :
                      ( ~ lt(X4,X7)
                      | ~ memberP(X5,X7)
                      | ~ ssItem(X7) )
                  & cons(X4,nil) = X2
                  & app(app(X5,X2),X6) = X3 )
              & ssList(X5) ) )
      | ~ sP4(X2,X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f141,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & nil = X1
                  & X0 = X2
                  & nil != X0
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( ! [X8] :
                                    ( ~ memberP(X6,X8)
                                    | ~ lt(X8,X4)
                                    | ~ ssItem(X8) )
                                & ssList(X6)
                                & ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & cons(X4,nil) = X2
                                & app(app(X5,X2),X6) = X3 )
                            & ssList(X5) ) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & X1 = X3 ) )
          & ssList(X1) ) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & nil = X1
                  & X1 = X3
                  & nil != X0
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & ! [X8] :
                                    ( ~ memberP(X6,X8)
                                    | ~ lt(X8,X4)
                                    | ~ ssItem(X8) )
                                & app(app(X5,X2),X6) = X3
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | nil != X1
                    | X1 != X3
                    | nil = X0
                    | ( ( nil != X3
                        | nil != X2 )
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ( cons(X4,nil) != X2
                                    | ? [X7] :
                                        ( lt(X4,X7)
                                        & ssItem(X7)
                                        & memberP(X5,X7) )
                                    | ? [X8] :
                                        ( ssItem(X8)
                                        & memberP(X6,X8)
                                        & lt(X8,X4) )
                                    | app(app(X5,X2),X6) != X3 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f650,plain,
    ( sP4(sK39,nil)
    | ~ spl61_1
    | ~ spl61_2 ),
    inference(forward_demodulation,[],[f615,f611]) ).

fof(f611,plain,
    ( nil = sK38
    | ~ spl61_1 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f609,plain,
    ( spl61_1
  <=> nil = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).

fof(f615,plain,
    ( sP4(sK39,sK38)
    | ~ spl61_2 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl61_2
  <=> sP4(sK39,sK38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).

fof(f8082,plain,
    ( ~ sP4(sK37,nil)
    | spl61_403 ),
    inference(resolution,[],[f7597,f492]) ).

fof(f492,plain,
    ! [X0,X1] :
      ( ssList(sK35(X0,X1))
      | ~ sP4(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ( ssItem(sK34(X0,X1))
        & ! [X5] :
            ( ~ memberP(sK36(X0,X1),X5)
            | ~ lt(X5,sK34(X0,X1))
            | ~ ssItem(X5) )
        & ssList(sK36(X0,X1))
        & ! [X6] :
            ( ~ lt(sK34(X0,X1),X6)
            | ~ memberP(sK35(X0,X1),X6)
            | ~ ssItem(X6) )
        & cons(sK34(X0,X1),nil) = X0
        & app(app(sK35(X0,X1),X0),sK36(X0,X1)) = X1
        & ssList(sK35(X0,X1)) )
      | ~ sP4(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36])],[f305,f308,f307,f306]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssItem(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( ! [X5] :
                      ( ~ memberP(X4,X5)
                      | ~ lt(X5,X2)
                      | ~ ssItem(X5) )
                  & ssList(X4)
                  & ! [X6] :
                      ( ~ lt(X2,X6)
                      | ~ memberP(X3,X6)
                      | ~ ssItem(X6) )
                  & cons(X2,nil) = X0
                  & app(app(X3,X0),X4) = X1 )
              & ssList(X3) ) )
     => ( ssItem(sK34(X0,X1))
        & ? [X3] :
            ( ? [X4] :
                ( ! [X5] :
                    ( ~ memberP(X4,X5)
                    | ~ lt(X5,sK34(X0,X1))
                    | ~ ssItem(X5) )
                & ssList(X4)
                & ! [X6] :
                    ( ~ lt(sK34(X0,X1),X6)
                    | ~ memberP(X3,X6)
                    | ~ ssItem(X6) )
                & cons(sK34(X0,X1),nil) = X0
                & app(app(X3,X0),X4) = X1 )
            & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ? [X4] :
              ( ! [X5] :
                  ( ~ memberP(X4,X5)
                  | ~ lt(X5,sK34(X0,X1))
                  | ~ ssItem(X5) )
              & ssList(X4)
              & ! [X6] :
                  ( ~ lt(sK34(X0,X1),X6)
                  | ~ memberP(X3,X6)
                  | ~ ssItem(X6) )
              & cons(sK34(X0,X1),nil) = X0
              & app(app(X3,X0),X4) = X1 )
          & ssList(X3) )
     => ( ? [X4] :
            ( ! [X5] :
                ( ~ memberP(X4,X5)
                | ~ lt(X5,sK34(X0,X1))
                | ~ ssItem(X5) )
            & ssList(X4)
            & ! [X6] :
                ( ~ lt(sK34(X0,X1),X6)
                | ~ memberP(sK35(X0,X1),X6)
                | ~ ssItem(X6) )
            & cons(sK34(X0,X1),nil) = X0
            & app(app(sK35(X0,X1),X0),X4) = X1 )
        & ssList(sK35(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ! [X5] :
              ( ~ memberP(X4,X5)
              | ~ lt(X5,sK34(X0,X1))
              | ~ ssItem(X5) )
          & ssList(X4)
          & ! [X6] :
              ( ~ lt(sK34(X0,X1),X6)
              | ~ memberP(sK35(X0,X1),X6)
              | ~ ssItem(X6) )
          & cons(sK34(X0,X1),nil) = X0
          & app(app(sK35(X0,X1),X0),X4) = X1 )
     => ( ! [X5] :
            ( ~ memberP(sK36(X0,X1),X5)
            | ~ lt(X5,sK34(X0,X1))
            | ~ ssItem(X5) )
        & ssList(sK36(X0,X1))
        & ! [X6] :
            ( ~ lt(sK34(X0,X1),X6)
            | ~ memberP(sK35(X0,X1),X6)
            | ~ ssItem(X6) )
        & cons(sK34(X0,X1),nil) = X0
        & app(app(sK35(X0,X1),X0),sK36(X0,X1)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssItem(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( ! [X5] :
                      ( ~ memberP(X4,X5)
                      | ~ lt(X5,X2)
                      | ~ ssItem(X5) )
                  & ssList(X4)
                  & ! [X6] :
                      ( ~ lt(X2,X6)
                      | ~ memberP(X3,X6)
                      | ~ ssItem(X6) )
                  & cons(X2,nil) = X0
                  & app(app(X3,X0),X4) = X1 )
              & ssList(X3) ) )
      | ~ sP4(X0,X1) ),
    inference(rectify,[],[f304]) ).

fof(f304,plain,
    ! [X2,X3] :
      ( ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ? [X6] :
                  ( ! [X8] :
                      ( ~ memberP(X6,X8)
                      | ~ lt(X8,X4)
                      | ~ ssItem(X8) )
                  & ssList(X6)
                  & ! [X7] :
                      ( ~ lt(X4,X7)
                      | ~ memberP(X5,X7)
                      | ~ ssItem(X7) )
                  & cons(X4,nil) = X2
                  & app(app(X5,X2),X6) = X3 )
              & ssList(X5) ) )
      | ~ sP4(X2,X3) ),
    inference(nnf_transformation,[],[f229]) ).

fof(f7597,plain,
    ( ~ ssList(sK35(sK37,nil))
    | spl61_403 ),
    inference(avatar_component_clause,[],[f7595]) ).

fof(f7595,plain,
    ( spl61_403
  <=> ssList(sK35(sK37,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_403])]) ).

fof(f7650,plain,
    ( ~ spl61_1
    | ~ spl61_2
    | spl61_395 ),
    inference(avatar_contradiction_clause,[],[f7649]) ).

fof(f7649,plain,
    ( $false
    | ~ spl61_1
    | ~ spl61_2
    | spl61_395 ),
    inference(resolution,[],[f7610,f651]) ).

fof(f7610,plain,
    ( ~ sP4(sK37,nil)
    | spl61_395 ),
    inference(resolution,[],[f7562,f496]) ).

fof(f496,plain,
    ! [X0,X1] :
      ( ssList(sK36(X0,X1))
      | ~ sP4(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f7562,plain,
    ( ~ ssList(sK36(sK37,nil))
    | spl61_395 ),
    inference(avatar_component_clause,[],[f7560]) ).

fof(f7560,plain,
    ( spl61_395
  <=> ssList(sK36(sK37,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_395])]) ).

fof(f7598,plain,
    ( ~ spl61_4
    | spl61_402
    | ~ spl61_395
    | ~ spl61_21
    | ~ spl61_403
    | ~ spl61_1
    | ~ spl61_2 ),
    inference(avatar_split_clause,[],[f7545,f613,f609,f7595,f1057,f7560,f7591,f621]) ).

fof(f621,plain,
    ( spl61_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).

fof(f7545,plain,
    ( ~ ssList(sK35(sK37,nil))
    | ~ ssList(sK37)
    | ~ ssList(sK36(sK37,nil))
    | segmentP(nil,sK37)
    | ~ ssList(nil)
    | ~ spl61_1
    | ~ spl61_2 ),
    inference(superposition,[],[f588,f6291]) ).

fof(f6291,plain,
    ( nil = app(app(sK35(sK37,nil),sK37),sK36(sK37,nil))
    | ~ spl61_1
    | ~ spl61_2 ),
    inference(resolution,[],[f493,f651]) ).

fof(f493,plain,
    ! [X0,X1] :
      ( ~ sP4(X0,X1)
      | app(app(sK35(X0,X1),X0),sK36(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f309]) ).

fof(f588,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f473]) ).

fof(f473,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(X3)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f300,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 )
                  | ~ ssList(X2) ) )
            & ( ( ssList(sK32(X0,X1))
                & app(app(sK31(X0,X1),X1),sK32(X0,X1)) = X0
                & ssList(sK31(X0,X1)) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f297,f299,f298]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( ssList(X5)
              & app(app(X4,X1),X5) = X0 )
          & ssList(X4) )
     => ( ? [X5] :
            ( ssList(X5)
            & app(app(sK31(X0,X1),X1),X5) = X0 )
        & ssList(sK31(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ssList(X5)
          & app(app(sK31(X0,X1),X1),X5) = X0 )
     => ( ssList(sK32(X0,X1))
        & app(app(sK31(X0,X1),X1),sK32(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f297,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X1),X5) = X0 )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f296]) ).

fof(f296,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( ssList(X3)
                      & app(app(X2,X1),X3) = X0 )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 )
                & ssList(X2) ) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f1363,plain,
    spl61_21,
    inference(avatar_contradiction_clause,[],[f1362]) ).

fof(f1362,plain,
    ( $false
    | spl61_21 ),
    inference(resolution,[],[f1059,f508]) ).

fof(f508,plain,
    ssList(sK37),
    inference(cnf_transformation,[],[f314]) ).

fof(f1059,plain,
    ( ~ ssList(sK37)
    | spl61_21 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f741,plain,
    ~ spl61_8,
    inference(avatar_contradiction_clause,[],[f740]) ).

fof(f740,plain,
    ( $false
    | ~ spl61_8 ),
    inference(trivial_inequality_removal,[],[f728]) ).

fof(f728,plain,
    ( nil != nil
    | ~ spl61_8 ),
    inference(backward_demodulation,[],[f503,f726]) ).

fof(f726,plain,
    ( nil = sK37
    | ~ spl61_8 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f503,plain,
    nil != sK37,
    inference(cnf_transformation,[],[f314]) ).

fof(f646,plain,
    ~ spl61_6,
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | ~ spl61_6 ),
    inference(trivial_inequality_removal,[],[f644]) ).

fof(f644,plain,
    ( nil != nil
    | ~ spl61_6 ),
    inference(backward_demodulation,[],[f503,f641]) ).

fof(f641,plain,
    ( nil = sK37
    | ~ spl61_6 ),
    inference(forward_demodulation,[],[f637,f504]) ).

fof(f637,plain,
    ( nil = sK39
    | ~ spl61_6 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f635,plain,
    ( spl61_6
  <=> nil = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).

fof(f638,plain,
    ( spl61_6
    | spl61_2 ),
    inference(avatar_split_clause,[],[f633,f613,f635]) ).

fof(f633,plain,
    ( sP4(sK39,sK38)
    | nil = sK39 ),
    inference(forward_demodulation,[],[f502,f500]) ).

fof(f500,plain,
    sK38 = sK40,
    inference(cnf_transformation,[],[f314]) ).

fof(f502,plain,
    ( nil = sK39
    | sP4(sK39,sK40) ),
    inference(cnf_transformation,[],[f314]) ).

fof(f632,plain,
    spl61_4,
    inference(avatar_split_clause,[],[f449,f621]) ).

fof(f449,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f631,plain,
    spl61_1,
    inference(avatar_split_clause,[],[f505,f609]) ).

fof(f505,plain,
    nil = sK38,
    inference(cnf_transformation,[],[f314]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n001.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 18:26:17 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.15/0.45  % (7255)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.45  % (7258)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.46  % (7247)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46  % (7250)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46  % (7267)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47  % (7249)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.47  % (7257)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.47  % (7259)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48  % (7266)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.48  % (7251)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48  % (7244)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.48  % (7273)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.49  % (7256)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.49  % (7245)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49  % (7263)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.49  % (7246)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.49  % (7265)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.50  % (7251)Instruction limit reached!
% 0.15/0.50  % (7251)------------------------------
% 0.15/0.50  % (7251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (7251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (7251)Termination reason: Unknown
% 0.15/0.50  % (7251)Termination phase: Function definition elimination
% 0.15/0.50  
% 0.15/0.50  % (7251)Memory used [KB]: 1279
% 0.15/0.50  % (7251)Time elapsed: 0.014 s
% 0.15/0.50  % (7251)Instructions burned: 8 (million)
% 0.15/0.50  % (7251)------------------------------
% 0.15/0.50  % (7251)------------------------------
% 0.15/0.50  % (7262)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.50  % (7271)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.50  % (7252)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.50  TRYING [1]
% 0.15/0.51  TRYING [2]
% 0.15/0.51  % (7261)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.51  % (7254)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.52  % (7248)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52  % (7260)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52  % (7252)Instruction limit reached!
% 0.15/0.52  % (7252)------------------------------
% 0.15/0.52  % (7252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (7252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (7252)Termination reason: Unknown
% 0.15/0.52  % (7252)Termination phase: Naming
% 0.15/0.52  
% 0.15/0.52  % (7252)Memory used [KB]: 1023
% 0.15/0.52  % (7252)Time elapsed: 0.004 s
% 0.15/0.52  % (7252)Instructions burned: 3 (million)
% 0.15/0.52  % (7252)------------------------------
% 0.15/0.52  % (7252)------------------------------
% 0.15/0.53  % (7253)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53  % (7268)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.53  % (7272)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.53  % (7264)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.54  % (7250)Instruction limit reached!
% 0.15/0.54  % (7250)------------------------------
% 0.15/0.54  % (7250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (7250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (7250)Termination reason: Unknown
% 0.15/0.54  % (7250)Termination phase: Finite model building constraint generation
% 0.15/0.54  
% 0.15/0.54  % (7250)Memory used [KB]: 7164
% 0.15/0.54  % (7250)Time elapsed: 0.146 s
% 0.15/0.54  % (7250)Instructions burned: 51 (million)
% 0.15/0.54  % (7250)------------------------------
% 0.15/0.54  % (7250)------------------------------
% 0.15/0.54  % (7270)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.54  % (7245)Refutation not found, incomplete strategy% (7245)------------------------------
% 0.15/0.54  % (7245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54  % (7245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54  % (7245)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.54  
% 0.15/0.54  % (7245)Memory used [KB]: 6012
% 0.15/0.54  % (7245)Time elapsed: 0.157 s
% 0.15/0.54  % (7245)Instructions burned: 20 (million)
% 0.15/0.54  % (7245)------------------------------
% 0.15/0.54  % (7245)------------------------------
% 0.15/0.54  % (7269)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.56  TRYING [1]
% 0.15/0.56  % (7249)Instruction limit reached!
% 0.15/0.56  % (7249)------------------------------
% 0.15/0.56  % (7249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (7249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (7249)Termination reason: Unknown
% 0.15/0.56  % (7249)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (7249)Memory used [KB]: 6396
% 0.15/0.56  % (7249)Time elapsed: 0.194 s
% 0.15/0.56  % (7249)Instructions burned: 48 (million)
% 0.15/0.56  % (7249)------------------------------
% 0.15/0.56  % (7249)------------------------------
% 0.15/0.56  TRYING [2]
% 0.15/0.57  % (7258)Instruction limit reached!
% 0.15/0.57  % (7258)------------------------------
% 0.15/0.57  % (7258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (7258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (7258)Termination reason: Unknown
% 0.15/0.57  % (7258)Termination phase: Saturation
% 0.15/0.57  
% 0.15/0.57  % (7258)Memory used [KB]: 7036
% 0.15/0.57  % (7258)Time elapsed: 0.062 s
% 0.15/0.57  % (7258)Instructions burned: 69 (million)
% 0.15/0.57  % (7258)------------------------------
% 0.15/0.57  % (7258)------------------------------
% 0.15/0.57  % (7246)Instruction limit reached!
% 0.15/0.57  % (7246)------------------------------
% 0.15/0.57  % (7246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (7246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (7246)Termination reason: Unknown
% 0.15/0.57  % (7246)Termination phase: Saturation
% 0.15/0.57  
% 0.15/0.57  % (7246)Memory used [KB]: 1791
% 0.15/0.57  % (7246)Time elapsed: 0.195 s
% 0.15/0.57  % (7246)Instructions burned: 37 (million)
% 0.15/0.57  % (7246)------------------------------
% 0.15/0.57  % (7246)------------------------------
% 0.15/0.58  % (7247)Instruction limit reached!
% 0.15/0.58  % (7247)------------------------------
% 0.15/0.58  % (7247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58  % (7247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58  % (7247)Termination reason: Unknown
% 0.15/0.58  % (7247)Termination phase: Saturation
% 0.15/0.58  
% 0.15/0.58  % (7247)Memory used [KB]: 6524
% 0.15/0.58  % (7247)Time elapsed: 0.214 s
% 0.15/0.58  % (7247)Instructions burned: 51 (million)
% 0.15/0.58  % (7247)------------------------------
% 0.15/0.58  % (7247)------------------------------
% 0.15/0.58  TRYING [1]
% 0.15/0.58  TRYING [2]
% 0.15/0.59  TRYING [3]
% 2.18/0.62  TRYING [3]
% 2.18/0.62  % (7261)Instruction limit reached!
% 2.18/0.62  % (7261)------------------------------
% 2.18/0.62  % (7261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.62  % (7261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.62  % (7261)Termination reason: Unknown
% 2.18/0.62  % (7261)Termination phase: Finite model building constraint generation
% 2.18/0.62  
% 2.18/0.62  % (7261)Memory used [KB]: 7675
% 2.18/0.62  % (7261)Time elapsed: 0.253 s
% 2.18/0.62  % (7261)Instructions burned: 60 (million)
% 2.18/0.62  % (7261)------------------------------
% 2.18/0.62  % (7261)------------------------------
% 2.18/0.62  % (7259)Instruction limit reached!
% 2.18/0.62  % (7259)------------------------------
% 2.18/0.62  % (7259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.62  % (7259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.62  % (7259)Termination reason: Unknown
% 2.18/0.62  % (7259)Termination phase: Saturation
% 2.18/0.62  
% 2.18/0.62  % (7259)Memory used [KB]: 2430
% 2.18/0.62  % (7259)Time elapsed: 0.197 s
% 2.18/0.62  % (7259)Instructions burned: 75 (million)
% 2.18/0.62  % (7259)------------------------------
% 2.18/0.62  % (7259)------------------------------
% 2.39/0.63  % (7257)Instruction limit reached!
% 2.39/0.63  % (7257)------------------------------
% 2.39/0.63  % (7257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.63  % (7257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.63  % (7257)Termination reason: Unknown
% 2.39/0.63  % (7257)Termination phase: Saturation
% 2.39/0.63  
% 2.39/0.63  % (7257)Memory used [KB]: 7036
% 2.39/0.63  % (7257)Time elapsed: 0.252 s
% 2.39/0.63  % (7257)Instructions burned: 99 (million)
% 2.39/0.63  % (7257)------------------------------
% 2.39/0.63  % (7257)------------------------------
% 2.39/0.63  % (7253)Instruction limit reached!
% 2.39/0.63  % (7253)------------------------------
% 2.39/0.63  % (7253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.63  % (7253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.63  % (7253)Termination reason: Unknown
% 2.39/0.63  % (7253)Termination phase: Saturation
% 2.39/0.63  
% 2.39/0.63  % (7253)Memory used [KB]: 2174
% 2.39/0.63  % (7253)Time elapsed: 0.255 s
% 2.39/0.63  % (7253)Instructions burned: 51 (million)
% 2.39/0.63  % (7253)------------------------------
% 2.39/0.63  % (7253)------------------------------
% 2.39/0.63  % (7248)Instruction limit reached!
% 2.39/0.63  % (7248)------------------------------
% 2.39/0.63  % (7248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.63  % (7248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.63  % (7248)Termination reason: Unknown
% 2.39/0.63  % (7248)Termination phase: Saturation
% 2.39/0.63  
% 2.39/0.63  % (7248)Memory used [KB]: 6652
% 2.39/0.63  % (7248)Time elapsed: 0.266 s
% 2.39/0.63  % (7248)Instructions burned: 51 (million)
% 2.39/0.63  % (7248)------------------------------
% 2.39/0.63  % (7248)------------------------------
% 2.52/0.64  % (7255)Instruction limit reached!
% 2.52/0.64  % (7255)------------------------------
% 2.52/0.64  % (7255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.64  % (7255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.64  % (7255)Termination reason: Unknown
% 2.52/0.64  % (7255)Termination phase: Saturation
% 2.52/0.64  
% 2.52/0.64  % (7255)Memory used [KB]: 7419
% 2.52/0.64  % (7255)Time elapsed: 0.293 s
% 2.52/0.64  % (7255)Instructions burned: 102 (million)
% 2.52/0.64  % (7255)------------------------------
% 2.52/0.64  % (7255)------------------------------
% 2.52/0.66  % (7254)Instruction limit reached!
% 2.52/0.66  % (7254)------------------------------
% 2.52/0.66  % (7254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.66  % (7254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.66  % (7254)Termination reason: Unknown
% 2.52/0.66  % (7254)Termination phase: Saturation
% 2.52/0.66  
% 2.52/0.66  % (7254)Memory used [KB]: 6780
% 2.52/0.66  % (7254)Time elapsed: 0.297 s
% 2.52/0.66  % (7254)Instructions burned: 50 (million)
% 2.52/0.66  % (7254)------------------------------
% 2.52/0.66  % (7254)------------------------------
% 2.52/0.66  % (7263)Instruction limit reached!
% 2.52/0.66  % (7263)------------------------------
% 2.52/0.66  % (7263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.66  % (7263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.66  % (7263)Termination reason: Unknown
% 2.52/0.66  % (7263)Termination phase: Saturation
% 2.52/0.66  
% 2.52/0.66  % (7263)Memory used [KB]: 2686
% 2.52/0.66  % (7263)Time elapsed: 0.302 s
% 2.52/0.66  % (7263)Instructions burned: 101 (million)
% 2.52/0.66  % (7263)------------------------------
% 2.52/0.66  % (7263)------------------------------
% 2.52/0.66  % (7275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.52/0.69  % (7282)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.52/0.70  % (7270)Instruction limit reached!
% 2.52/0.70  % (7270)------------------------------
% 2.52/0.70  % (7270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.70  % (7270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.70  % (7270)Termination reason: Unknown
% 2.52/0.70  % (7270)Termination phase: Saturation
% 2.52/0.70  
% 2.52/0.70  % (7270)Memory used [KB]: 7036
% 2.52/0.70  % (7270)Time elapsed: 0.047 s
% 2.52/0.70  % (7270)Instructions burned: 69 (million)
% 2.52/0.70  % (7270)------------------------------
% 2.52/0.70  % (7270)------------------------------
% 2.52/0.71  % (7280)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.01/0.72  % (7277)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.01/0.72  % (7265)Instruction limit reached!
% 3.01/0.72  % (7265)------------------------------
% 3.01/0.72  % (7265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.74  % (7256)Instruction limit reached!
% 3.01/0.74  % (7256)------------------------------
% 3.01/0.74  % (7256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.74  % (7256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.74  % (7256)Termination reason: Unknown
% 3.01/0.74  % (7256)Termination phase: Saturation
% 3.01/0.74  
% 3.01/0.74  % (7256)Memory used [KB]: 7164
% 3.01/0.74  % (7256)Time elapsed: 0.374 s
% 3.01/0.74  % (7256)Instructions burned: 102 (million)
% 3.01/0.74  % (7256)------------------------------
% 3.01/0.74  % (7256)------------------------------
% 3.01/0.74  % (7265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.74  % (7265)Termination reason: Unknown
% 3.01/0.74  % (7265)Termination phase: Saturation
% 3.01/0.74  
% 3.01/0.74  % (7265)Memory used [KB]: 7547
% 3.01/0.74  % (7265)Time elapsed: 0.360 s
% 3.01/0.74  % (7265)Instructions burned: 138 (million)
% 3.01/0.74  % (7265)------------------------------
% 3.01/0.74  % (7265)------------------------------
% 3.01/0.74  % (7281)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 3.01/0.74  % (7276)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.01/0.76  TRYING [4]
% 3.01/0.76  % (7279)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.01/0.76  % (7260)Instruction limit reached!
% 3.01/0.76  % (7260)------------------------------
% 3.01/0.76  % (7260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.76  % (7260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.76  % (7260)Termination reason: Unknown
% 3.01/0.76  % (7260)Termination phase: Saturation
% 3.01/0.76  
% 3.01/0.76  % (7260)Memory used [KB]: 6908
% 3.01/0.76  % (7260)Time elapsed: 0.394 s
% 3.01/0.76  % (7260)Instructions burned: 100 (million)
% 3.01/0.76  % (7260)------------------------------
% 3.01/0.76  % (7260)------------------------------
% 3.01/0.77  % (7262)Instruction limit reached!
% 3.01/0.77  % (7262)------------------------------
% 3.01/0.77  % (7262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.77  % (7262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.77  % (7262)Termination reason: Unknown
% 3.01/0.77  % (7262)Termination phase: Saturation
% 3.01/0.77  
% 3.01/0.77  % (7262)Memory used [KB]: 7547
% 3.01/0.77  % (7262)Time elapsed: 0.409 s
% 3.01/0.77  % (7262)Instructions burned: 100 (million)
% 3.01/0.77  % (7262)------------------------------
% 3.01/0.77  % (7262)------------------------------
% 3.31/0.78  % (7289)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.31/0.80  % (7291)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.31/0.80  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.31/0.80  % (7285)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.31/0.80  % (7288)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.31/0.81  % (7271)Instruction limit reached!
% 3.31/0.81  % (7271)------------------------------
% 3.31/0.81  % (7271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.81  % (7271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.81  % (7271)Termination reason: Unknown
% 3.31/0.81  % (7271)Termination phase: Saturation
% 3.31/0.81  
% 3.31/0.81  % (7271)Memory used [KB]: 3582
% 3.31/0.81  % (7271)Time elapsed: 0.464 s
% 3.31/0.81  % (7271)Instructions burned: 177 (million)
% 3.31/0.81  % (7271)------------------------------
% 3.31/0.81  % (7271)------------------------------
% 3.31/0.83  % (7284)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 3.31/0.83  % (7283)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 3.31/0.85  % (7287)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.31/0.85  % (7286)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.72/0.87  % (7290)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.83/0.90  % (7294)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.83/0.92  % (7264)Instruction limit reached!
% 3.83/0.92  % (7264)------------------------------
% 3.83/0.92  % (7264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/0.92  % (7264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/0.92  % (7264)Termination reason: Unknown
% 3.83/0.92  % (7264)Termination phase: Saturation
% 3.83/0.92  
% 3.83/0.92  % (7264)Memory used [KB]: 6908
% 3.83/0.92  % (7264)Time elapsed: 0.531 s
% 3.83/0.92  % (7264)Instructions burned: 176 (million)
% 3.83/0.92  % (7264)------------------------------
% 3.83/0.92  % (7264)------------------------------
% 3.83/0.92  % (7277)Instruction limit reached!
% 3.83/0.92  % (7277)------------------------------
% 3.83/0.92  % (7277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/0.92  % (7277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/0.92  % (7277)Termination reason: Unknown
% 3.83/0.92  % (7277)Termination phase: Saturation
% 3.83/0.92  
% 3.83/0.92  % (7277)Memory used [KB]: 6908
% 3.83/0.92  % (7277)Time elapsed: 0.340 s
% 3.83/0.92  % (7277)Instructions burned: 90 (million)
% 3.83/0.92  % (7277)------------------------------
% 3.83/0.92  % (7277)------------------------------
% 4.08/0.95  % (7292)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 4.08/0.95  % (7297)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 4.08/0.96  % (7293)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 4.08/0.97  % (7295)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 4.08/0.98  % (7283)Instruction limit reached!
% 4.08/0.98  % (7283)------------------------------
% 4.08/0.98  % (7283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/0.98  % (7283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/0.98  % (7283)Termination reason: Unknown
% 4.08/0.98  % (7283)Termination phase: Saturation
% 4.08/0.98  
% 4.08/0.98  % (7283)Memory used [KB]: 7036
% 4.08/0.98  % (7283)Time elapsed: 0.049 s
% 4.08/0.98  % (7283)Instructions burned: 68 (million)
% 4.08/0.98  % (7283)------------------------------
% 4.08/0.98  % (7283)------------------------------
% 4.08/1.00  % (7296)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 4.36/1.06  % (7286)Instruction limit reached!
% 4.36/1.06  % (7286)------------------------------
% 4.36/1.06  % (7286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.36/1.06  % (7286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.36/1.06  % (7286)Termination reason: Unknown
% 4.36/1.06  % (7286)Termination phase: Saturation
% 4.36/1.06  
% 4.36/1.06  % (7286)Memory used [KB]: 9210
% 4.36/1.06  % (7286)Time elapsed: 0.386 s
% 4.36/1.06  % (7286)Instructions burned: 90 (million)
% 4.36/1.06  % (7286)------------------------------
% 4.36/1.06  % (7286)------------------------------
% 4.56/1.10  % (7293)Instruction limit reached!
% 4.56/1.10  % (7293)------------------------------
% 4.56/1.10  % (7293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.56/1.10  % (7293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.56/1.10  % (7293)Termination reason: Unknown
% 4.56/1.10  % (7293)Termination phase: Saturation
% 4.56/1.10  
% 4.56/1.10  % (7293)Memory used [KB]: 7036
% 4.56/1.10  % (7293)Time elapsed: 0.049 s
% 4.56/1.10  % (7293)Instructions burned: 69 (million)
% 4.56/1.10  % (7293)------------------------------
% 4.56/1.10  % (7293)------------------------------
% 4.56/1.14  % (7299)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.56/1.17  % (7298)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.56/1.18  % (7273)First to succeed.
% 4.56/1.18  % (7301)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 6.68/1.20  % (7273)Refutation found. Thanks to Tanya!
% 6.68/1.20  % SZS status Theorem for theBenchmark
% 6.68/1.20  % SZS output start Proof for theBenchmark
% See solution above
% 6.68/1.20  % (7273)------------------------------
% 6.68/1.20  % (7273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.68/1.20  % (7273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.68/1.20  % (7273)Termination reason: Refutation
% 6.68/1.20  
% 6.68/1.20  % (7273)Memory used [KB]: 11513
% 6.68/1.20  % (7273)Time elapsed: 0.811 s
% 6.68/1.20  % (7273)Instructions burned: 287 (million)
% 6.68/1.20  % (7273)------------------------------
% 6.68/1.20  % (7273)------------------------------
% 6.68/1.20  % (7243)Success in time 0.872 s
%------------------------------------------------------------------------------