TSTP Solution File: SWC346+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC346+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 : 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 18:40:37 EDT 2022

% Result   : Theorem 1.82s 0.62s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  112 (  10 unt;   0 def)
%            Number of atoms       :  602 ( 133 equ)
%            Maximal formula atoms :   42 (   5 avg)
%            Number of connectives :  746 ( 256   ~; 239   |; 204   &)
%                                         (  19 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  16 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  178 (  99   !;  79   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2735,plain,
    $false,
    inference(avatar_sat_refutation,[],[f613,f635,f640,f652,f662,f671,f679,f685,f696,f701,f703,f712,f725,f751,f762,f780,f2711,f2730]) ).

fof(f2730,plain,
    ( ~ spl54_16
    | spl54_4
    | ~ spl54_26
    | ~ spl54_25
    | ~ spl54_1
    | ~ spl54_12 ),
    inference(avatar_split_clause,[],[f2676,f648,f597,f759,f771,f610,f668]) ).

fof(f668,plain,
    ( spl54_16
  <=> ssList(sK43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_16])]) ).

fof(f610,plain,
    ( spl54_4
  <=> segmentP(sK41,sK38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).

fof(f771,plain,
    ( spl54_26
  <=> ssList(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_26])]) ).

fof(f759,plain,
    ( spl54_25
  <=> ssList(sK38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_25])]) ).

fof(f597,plain,
    ( spl54_1
  <=> ssList(sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).

fof(f648,plain,
    ( spl54_12
  <=> app(app(sK43,sK38),sK44) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_12])]) ).

fof(f2676,plain,
    ( ~ ssList(sK44)
    | ~ ssList(sK38)
    | ~ ssList(sK41)
    | segmentP(sK41,sK38)
    | ~ ssList(sK43)
    | ~ spl54_12 ),
    inference(superposition,[],[f563,f650]) ).

fof(f650,plain,
    ( app(app(sK43,sK38),sK44) = sK41
    | ~ spl54_12 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f563,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f347]) ).

fof(f347,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
                & ssList(sK1(X0,X1))
                & ssList(sK0(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f225,f227,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK0(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK0(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
        & ssList(sK1(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(rectify,[],[f224]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f2711,plain,
    ( ~ spl54_1
    | spl54_26
    | ~ spl54_27
    | ~ spl54_12 ),
    inference(avatar_split_clause,[],[f2690,f648,f775,f771,f597]) ).

fof(f775,plain,
    ( spl54_27
  <=> ssList(app(sK43,sK38)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_27])]) ).

fof(f2690,plain,
    ( ~ ssList(app(sK43,sK38))
    | ssList(sK41)
    | ~ ssList(sK44)
    | ~ spl54_12 ),
    inference(superposition,[],[f534,f650]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) ) ),
    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(f780,plain,
    ( ~ spl54_16
    | ~ spl54_25
    | spl54_27 ),
    inference(avatar_split_clause,[],[f779,f775,f759,f668]) ).

fof(f779,plain,
    ( ~ ssList(sK38)
    | ~ ssList(sK43)
    | spl54_27 ),
    inference(resolution,[],[f777,f534]) ).

fof(f777,plain,
    ( ~ ssList(app(sK43,sK38))
    | spl54_27 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f762,plain,
    ( spl54_25
    | ~ spl54_6
    | ~ spl54_13
    | ~ spl54_8 ),
    inference(avatar_split_clause,[],[f757,f628,f654,f618,f759]) ).

fof(f618,plain,
    ( spl54_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).

fof(f654,plain,
    ( spl54_13
  <=> ssItem(sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_13])]) ).

fof(f628,plain,
    ( spl54_8
  <=> sK38 = cons(sK42,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).

fof(f757,plain,
    ( ~ ssItem(sK42)
    | ~ ssList(nil)
    | ssList(sK38)
    | ~ spl54_8 ),
    inference(superposition,[],[f416,f630]) ).

fof(f630,plain,
    ( sK38 = cons(sK42,nil)
    | ~ spl54_8 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f751,plain,
    ( ~ spl54_13
    | spl54_3
    | ~ spl54_8
    | ~ spl54_15 ),
    inference(avatar_split_clause,[],[f750,f664,f628,f606,f654]) ).

fof(f606,plain,
    ( spl54_3
  <=> strictorderedP(sK38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_3])]) ).

fof(f664,plain,
    ( spl54_15
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | strictorderedP(cons(X0,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_15])]) ).

fof(f750,plain,
    ( strictorderedP(sK38)
    | ~ ssItem(sK42)
    | ~ spl54_8
    | ~ spl54_15 ),
    inference(superposition,[],[f665,f630]) ).

fof(f665,plain,
    ( ! [X0] :
        ( strictorderedP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl54_15 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f725,plain,
    spl54_15,
    inference(avatar_split_clause,[],[f421,f664]) ).

fof(f421,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( ssItem(X0)
     => strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

fof(f712,plain,
    ( spl54_4
    | ~ spl54_9 ),
    inference(avatar_contradiction_clause,[],[f710]) ).

fof(f710,plain,
    ( $false
    | spl54_4
    | ~ spl54_9 ),
    inference(resolution,[],[f708,f506]) ).

fof(f506,plain,
    ssList(sK41),
    inference(cnf_transformation,[],[f317]) ).

fof(f317,plain,
    ( ( ~ segmentP(sK39,sK38)
      | ~ strictorderedP(sK38) )
    & sK39 = sK41
    & sK40 = sK38
    & ( ( nil = sK41
        & nil = sK40 )
      | ( ssList(sK44)
        & sK40 = cons(sK42,nil)
        & ! [X7] :
            ( ~ lt(X7,sK42)
            | ~ ssItem(X7)
            | ~ memberP(sK44,X7) )
        & ! [X8] :
            ( ~ memberP(sK43,X8)
            | ~ lt(sK42,X8)
            | ~ ssItem(X8) )
        & app(app(sK43,sK40),sK44) = sK41
        & ssList(sK43)
        & ssItem(sK42) ) )
    & ssList(sK41)
    & ssList(sK40)
    & ssList(sK39)
    & ssList(sK38) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42,sK43,sK44])],[f309,f316,f315,f314,f313,f312,f311,f310]) ).

fof(f310,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ segmentP(X1,X0)
                      | ~ strictorderedP(X0) )
                    & X1 = X3
                    & X0 = X2
                    & ( ( nil = X3
                        & nil = X2 )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ssList(X6)
                                  & cons(X4,nil) = X2
                                  & ! [X7] :
                                      ( ~ lt(X7,X4)
                                      | ~ ssItem(X7)
                                      | ~ memberP(X6,X7) )
                                  & ! [X8] :
                                      ( ~ memberP(X5,X8)
                                      | ~ lt(X4,X8)
                                      | ~ ssItem(X8) )
                                  & app(app(X5,X2),X6) = X3 )
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ segmentP(X1,sK38)
                    | ~ strictorderedP(sK38) )
                  & X1 = X3
                  & sK38 = X2
                  & ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ lt(X7,X4)
                                    | ~ ssItem(X7)
                                    | ~ memberP(X6,X7) )
                                & ! [X8] :
                                    ( ~ memberP(X5,X8)
                                    | ~ lt(X4,X8)
                                    | ~ ssItem(X8) )
                                & app(app(X5,X2),X6) = X3 )
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK38) ) ),
    introduced(choice_axiom,[]) ).

fof(f311,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ segmentP(X1,sK38)
                  | ~ strictorderedP(sK38) )
                & X1 = X3
                & sK38 = X2
                & ( ( nil = X3
                    & nil = X2 )
                  | ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ssList(X6)
                              & cons(X4,nil) = X2
                              & ! [X7] :
                                  ( ~ lt(X7,X4)
                                  | ~ ssItem(X7)
                                  | ~ memberP(X6,X7) )
                              & ! [X8] :
                                  ( ~ memberP(X5,X8)
                                  | ~ lt(X4,X8)
                                  | ~ ssItem(X8) )
                              & app(app(X5,X2),X6) = X3 )
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ segmentP(sK39,sK38)
                | ~ strictorderedP(sK38) )
              & sK39 = X3
              & sK38 = X2
              & ( ( nil = X3
                  & nil = X2 )
                | ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ssList(X6)
                            & cons(X4,nil) = X2
                            & ! [X7] :
                                ( ~ lt(X7,X4)
                                | ~ ssItem(X7)
                                | ~ memberP(X6,X7) )
                            & ! [X8] :
                                ( ~ memberP(X5,X8)
                                | ~ lt(X4,X8)
                                | ~ ssItem(X8) )
                            & app(app(X5,X2),X6) = X3 )
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK39) ) ),
    introduced(choice_axiom,[]) ).

fof(f312,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ segmentP(sK39,sK38)
              | ~ strictorderedP(sK38) )
            & sK39 = X3
            & sK38 = X2
            & ( ( nil = X3
                & nil = X2 )
              | ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ssList(X6)
                          & cons(X4,nil) = X2
                          & ! [X7] :
                              ( ~ lt(X7,X4)
                              | ~ ssItem(X7)
                              | ~ memberP(X6,X7) )
                          & ! [X8] :
                              ( ~ memberP(X5,X8)
                              | ~ lt(X4,X8)
                              | ~ ssItem(X8) )
                          & app(app(X5,X2),X6) = X3 )
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ segmentP(sK39,sK38)
            | ~ strictorderedP(sK38) )
          & sK39 = X3
          & sK40 = sK38
          & ( ( nil = X3
              & nil = sK40 )
            | ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ssList(X6)
                        & cons(X4,nil) = sK40
                        & ! [X7] :
                            ( ~ lt(X7,X4)
                            | ~ ssItem(X7)
                            | ~ memberP(X6,X7) )
                        & ! [X8] :
                            ( ~ memberP(X5,X8)
                            | ~ lt(X4,X8)
                            | ~ ssItem(X8) )
                        & app(app(X5,sK40),X6) = X3 )
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ssList(X3) )
      & ssList(sK40) ) ),
    introduced(choice_axiom,[]) ).

fof(f313,plain,
    ( ? [X3] :
        ( ( ~ segmentP(sK39,sK38)
          | ~ strictorderedP(sK38) )
        & sK39 = X3
        & sK40 = sK38
        & ( ( nil = X3
            & nil = sK40 )
          | ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ssList(X6)
                      & cons(X4,nil) = sK40
                      & ! [X7] :
                          ( ~ lt(X7,X4)
                          | ~ ssItem(X7)
                          | ~ memberP(X6,X7) )
                      & ! [X8] :
                          ( ~ memberP(X5,X8)
                          | ~ lt(X4,X8)
                          | ~ ssItem(X8) )
                      & app(app(X5,sK40),X6) = X3 )
                  & ssList(X5) )
              & ssItem(X4) ) )
        & ssList(X3) )
   => ( ( ~ segmentP(sK39,sK38)
        | ~ strictorderedP(sK38) )
      & sK39 = sK41
      & sK40 = sK38
      & ( ( nil = sK41
          & nil = sK40 )
        | ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ssList(X6)
                    & cons(X4,nil) = sK40
                    & ! [X7] :
                        ( ~ lt(X7,X4)
                        | ~ ssItem(X7)
                        | ~ memberP(X6,X7) )
                    & ! [X8] :
                        ( ~ memberP(X5,X8)
                        | ~ lt(X4,X8)
                        | ~ ssItem(X8) )
                    & sK41 = app(app(X5,sK40),X6) )
                & ssList(X5) )
            & ssItem(X4) ) )
      & ssList(sK41) ) ),
    introduced(choice_axiom,[]) ).

fof(f314,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ssList(X6)
                & cons(X4,nil) = sK40
                & ! [X7] :
                    ( ~ lt(X7,X4)
                    | ~ ssItem(X7)
                    | ~ memberP(X6,X7) )
                & ! [X8] :
                    ( ~ memberP(X5,X8)
                    | ~ lt(X4,X8)
                    | ~ ssItem(X8) )
                & sK41 = app(app(X5,sK40),X6) )
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ssList(X6)
              & sK40 = cons(sK42,nil)
              & ! [X7] :
                  ( ~ lt(X7,sK42)
                  | ~ ssItem(X7)
                  | ~ memberP(X6,X7) )
              & ! [X8] :
                  ( ~ memberP(X5,X8)
                  | ~ lt(sK42,X8)
                  | ~ ssItem(X8) )
              & sK41 = app(app(X5,sK40),X6) )
          & ssList(X5) )
      & ssItem(sK42) ) ),
    introduced(choice_axiom,[]) ).

fof(f315,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ssList(X6)
            & sK40 = cons(sK42,nil)
            & ! [X7] :
                ( ~ lt(X7,sK42)
                | ~ ssItem(X7)
                | ~ memberP(X6,X7) )
            & ! [X8] :
                ( ~ memberP(X5,X8)
                | ~ lt(sK42,X8)
                | ~ ssItem(X8) )
            & sK41 = app(app(X5,sK40),X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( ssList(X6)
          & sK40 = cons(sK42,nil)
          & ! [X7] :
              ( ~ lt(X7,sK42)
              | ~ ssItem(X7)
              | ~ memberP(X6,X7) )
          & ! [X8] :
              ( ~ memberP(sK43,X8)
              | ~ lt(sK42,X8)
              | ~ ssItem(X8) )
          & app(app(sK43,sK40),X6) = sK41 )
      & ssList(sK43) ) ),
    introduced(choice_axiom,[]) ).

fof(f316,plain,
    ( ? [X6] :
        ( ssList(X6)
        & sK40 = cons(sK42,nil)
        & ! [X7] :
            ( ~ lt(X7,sK42)
            | ~ ssItem(X7)
            | ~ memberP(X6,X7) )
        & ! [X8] :
            ( ~ memberP(sK43,X8)
            | ~ lt(sK42,X8)
            | ~ ssItem(X8) )
        & app(app(sK43,sK40),X6) = sK41 )
   => ( ssList(sK44)
      & sK40 = cons(sK42,nil)
      & ! [X7] :
          ( ~ lt(X7,sK42)
          | ~ ssItem(X7)
          | ~ memberP(sK44,X7) )
      & ! [X8] :
          ( ~ memberP(sK43,X8)
          | ~ lt(sK42,X8)
          | ~ ssItem(X8) )
      & app(app(sK43,sK40),sK44) = sK41 ) ),
    introduced(choice_axiom,[]) ).

fof(f309,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ segmentP(X1,X0)
                    | ~ strictorderedP(X0) )
                  & X1 = X3
                  & X0 = X2
                  & ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & cons(X4,nil) = X2
                                & ! [X7] :
                                    ( ~ lt(X7,X4)
                                    | ~ ssItem(X7)
                                    | ~ memberP(X6,X7) )
                                & ! [X8] :
                                    ( ~ memberP(X5,X8)
                                    | ~ lt(X4,X8)
                                    | ~ ssItem(X8) )
                                & app(app(X5,X2),X6) = X3 )
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f104]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ segmentP(X1,X0)
                    | ~ strictorderedP(X0) )
                  & X1 = X3
                  & X0 = X2
                  & ( ( nil = X3
                      & nil = X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & cons(X4,nil) = X2
                                & ! [X8] :
                                    ( ~ lt(X8,X4)
                                    | ~ ssItem(X8)
                                    | ~ memberP(X6,X8) )
                                & ! [X7] :
                                    ( ~ memberP(X5,X7)
                                    | ~ lt(X4,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,X2),X6) = X3 )
                            & 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] :
                    ( ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ? [X7] :
                                      ( lt(X4,X7)
                                      & ssItem(X7)
                                      & memberP(X5,X7) )
                                  | cons(X4,nil) != X2
                                  | ~ ssList(X6)
                                  | ? [X8] :
                                      ( lt(X8,X4)
                                      & memberP(X6,X8)
                                      & ssItem(X8) )
                                  | app(app(X5,X2),X6) != X3 ) ) )
                      & ( nil != X2
                        | nil != X3 ) )
                    | X0 != X2
                    | ~ ssList(X3)
                    | X1 != X3
                    | ( segmentP(X1,X0)
                      & strictorderedP(X0) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f708,plain,
    ( ~ ssList(sK41)
    | spl54_4
    | ~ spl54_9 ),
    inference(resolution,[],[f475,f704]) ).

fof(f704,plain,
    ( ~ segmentP(sK41,nil)
    | spl54_4
    | ~ spl54_9 ),
    inference(forward_demodulation,[],[f612,f634]) ).

fof(f634,plain,
    ( nil = sK38
    | ~ spl54_9 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl54_9
  <=> nil = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_9])]) ).

fof(f612,plain,
    ( ~ segmentP(sK41,sK38)
    | spl54_4 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f475,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,nil) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

fof(f703,plain,
    ( spl54_3
    | ~ spl54_9 ),
    inference(avatar_contradiction_clause,[],[f702]) ).

fof(f702,plain,
    ( $false
    | spl54_3
    | ~ spl54_9 ),
    inference(resolution,[],[f459,f697]) ).

fof(f697,plain,
    ( ~ strictorderedP(nil)
    | spl54_3
    | ~ spl54_9 ),
    inference(forward_demodulation,[],[f608,f634]) ).

fof(f608,plain,
    ( ~ strictorderedP(sK38)
    | spl54_3 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f459,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

fof(f701,plain,
    spl54_6,
    inference(avatar_split_clause,[],[f447,f618]) ).

fof(f447,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f696,plain,
    ( ~ spl54_10
    | ~ spl54_2
    | spl54_4
    | ~ spl54_9 ),
    inference(avatar_split_clause,[],[f695,f632,f610,f601,f637]) ).

fof(f637,plain,
    ( spl54_10
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_10])]) ).

fof(f601,plain,
    ( spl54_2
  <=> nil = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).

fof(f695,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl54_2
    | spl54_4
    | ~ spl54_9 ),
    inference(forward_demodulation,[],[f690,f634]) ).

fof(f690,plain,
    ( ~ segmentP(nil,sK38)
    | ~ spl54_2
    | spl54_4 ),
    inference(forward_demodulation,[],[f612,f603]) ).

fof(f603,plain,
    ( nil = sK41
    | ~ spl54_2 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f685,plain,
    ( spl54_9
    | spl54_13 ),
    inference(avatar_split_clause,[],[f559,f654,f632]) ).

fof(f559,plain,
    ( ssItem(sK42)
    | nil = sK38 ),
    inference(definition_unfolding,[],[f507,f521]) ).

fof(f521,plain,
    sK40 = sK38,
    inference(cnf_transformation,[],[f317]) ).

fof(f507,plain,
    ( nil = sK40
    | ssItem(sK42) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f679,plain,
    ( spl54_2
    | spl54_16 ),
    inference(avatar_split_clause,[],[f515,f668,f601]) ).

fof(f515,plain,
    ( ssList(sK43)
    | nil = sK41 ),
    inference(cnf_transformation,[],[f317]) ).

fof(f671,plain,
    ( spl54_9
    | spl54_16 ),
    inference(avatar_split_clause,[],[f558,f668,f632]) ).

fof(f558,plain,
    ( ssList(sK43)
    | nil = sK38 ),
    inference(definition_unfolding,[],[f508,f521]) ).

fof(f508,plain,
    ( nil = sK40
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f662,plain,
    ( spl54_9
    | spl54_12 ),
    inference(avatar_split_clause,[],[f557,f648,f632]) ).

fof(f557,plain,
    ( app(app(sK43,sK38),sK44) = sK41
    | nil = sK38 ),
    inference(definition_unfolding,[],[f509,f521,f521]) ).

fof(f509,plain,
    ( nil = sK40
    | app(app(sK43,sK40),sK44) = sK41 ),
    inference(cnf_transformation,[],[f317]) ).

fof(f652,plain,
    ( spl54_9
    | spl54_1 ),
    inference(avatar_split_clause,[],[f553,f597,f632]) ).

fof(f553,plain,
    ( ssList(sK44)
    | nil = sK38 ),
    inference(definition_unfolding,[],[f513,f521]) ).

fof(f513,plain,
    ( nil = sK40
    | ssList(sK44) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f640,plain,
    ( ~ spl54_6
    | spl54_10 ),
    inference(avatar_split_clause,[],[f567,f637,f618]) ).

fof(f567,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f373]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(nil,X0)
      | nil != X0 ),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( nil = X0
          | ~ segmentP(nil,X0) )
        & ( segmentP(nil,X0)
          | nil != X0 ) ) ),
    inference(nnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( nil = X0
      <=> segmentP(nil,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(f635,plain,
    ( spl54_8
    | spl54_9 ),
    inference(avatar_split_clause,[],[f554,f632,f628]) ).

fof(f554,plain,
    ( nil = sK38
    | sK38 = cons(sK42,nil) ),
    inference(definition_unfolding,[],[f512,f521,f521]) ).

fof(f512,plain,
    ( nil = sK40
    | sK40 = cons(sK42,nil) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f613,plain,
    ( ~ spl54_3
    | ~ spl54_4 ),
    inference(avatar_split_clause,[],[f550,f610,f606]) ).

fof(f550,plain,
    ( ~ segmentP(sK41,sK38)
    | ~ strictorderedP(sK38) ),
    inference(definition_unfolding,[],[f523,f522]) ).

fof(f522,plain,
    sK39 = sK41,
    inference(cnf_transformation,[],[f317]) ).

fof(f523,plain,
    ( ~ segmentP(sK39,sK38)
    | ~ strictorderedP(sK38) ),
    inference(cnf_transformation,[],[f317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC346+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33  % Computer : n001.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Tue Aug 30 19:10:32 EDT 2022
% 0.10/0.33  % CPUTime    : 
% 0.15/0.48  % (28866)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49  % (28882)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.49  % (28884)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  % (28876)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  % (28874)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50  % (28868)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.50  % (28874)Instruction limit reached!
% 0.15/0.50  % (28874)------------------------------
% 0.15/0.50  % (28874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (28874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (28874)Termination reason: Unknown
% 0.15/0.52  % (28874)Termination phase: shuffling
% 0.15/0.52  
% 0.15/0.52  % (28874)Memory used [KB]: 1535
% 0.15/0.52  % (28874)Time elapsed: 0.003 s
% 0.15/0.52  % (28874)Instructions burned: 3 (million)
% 0.15/0.52  % (28874)------------------------------
% 0.15/0.52  % (28874)------------------------------
% 0.15/0.52  % (28862)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.53  % (28860)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.53  % (28871)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.53  % (28872)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.53  % (28871)Instruction limit reached!
% 0.15/0.53  % (28871)------------------------------
% 0.15/0.53  % (28871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (28871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (28871)Termination reason: Unknown
% 0.15/0.53  % (28871)Termination phase: Saturation
% 0.15/0.53  
% 0.15/0.53  % (28871)Memory used [KB]: 6140
% 0.15/0.53  % (28871)Time elapsed: 0.005 s
% 0.15/0.53  % (28871)Instructions burned: 7 (million)
% 0.15/0.53  % (28871)------------------------------
% 0.15/0.53  % (28871)------------------------------
% 0.15/0.53  % (28867)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.53  % (28876)Refutation not found, incomplete strategy% (28876)------------------------------
% 0.15/0.53  % (28876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (28870)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.53  % (28876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (28876)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.53  
% 0.15/0.53  % (28876)Memory used [KB]: 6524
% 0.15/0.53  % (28876)Time elapsed: 0.139 s
% 0.15/0.53  % (28876)Instructions burned: 15 (million)
% 0.15/0.53  % (28876)------------------------------
% 0.15/0.53  % (28876)------------------------------
% 0.15/0.54  % (28865)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.55  % (28863)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.55  % (28862)Instruction limit reached!
% 0.15/0.55  % (28862)------------------------------
% 0.15/0.55  % (28862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55  % (28862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55  % (28862)Termination reason: Unknown
% 0.15/0.55  % (28862)Termination phase: Preprocessing 3
% 0.15/0.55  
% 0.15/0.55  % (28862)Memory used [KB]: 1663
% 0.15/0.55  % (28862)Time elapsed: 0.005 s
% 0.15/0.55  % (28862)Instructions burned: 4 (million)
% 0.15/0.55  % (28862)------------------------------
% 0.15/0.55  % (28862)------------------------------
% 0.15/0.55  % (28889)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.55  % (28864)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.55  % (28886)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.56  % (28887)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.56  % (28881)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.56  % (28870)Instruction limit reached!
% 0.15/0.56  % (28870)------------------------------
% 0.15/0.56  % (28870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (28870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (28870)Termination reason: Unknown
% 0.15/0.56  % (28870)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (28870)Memory used [KB]: 6268
% 0.15/0.56  % (28870)Time elapsed: 0.161 s
% 0.15/0.56  % (28870)Instructions burned: 12 (million)
% 0.15/0.56  % (28870)------------------------------
% 0.15/0.56  % (28870)------------------------------
% 0.15/0.56  % (28879)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.15/0.56  % (28872)Instruction limit reached!
% 0.15/0.56  % (28872)------------------------------
% 0.15/0.56  % (28872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56  % (28872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56  % (28872)Termination reason: Unknown
% 0.15/0.56  % (28872)Termination phase: Saturation
% 0.15/0.56  
% 0.15/0.56  % (28872)Memory used [KB]: 2046
% 0.15/0.56  % (28872)Time elapsed: 0.161 s
% 0.15/0.56  % (28872)Instructions burned: 17 (million)
% 0.15/0.56  % (28872)------------------------------
% 0.15/0.56  % (28872)------------------------------
% 1.66/0.56  % (28878)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)
% 1.66/0.56  % (28878)Instruction limit reached!
% 1.66/0.56  % (28878)------------------------------
% 1.66/0.56  % (28878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.56  % (28878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.56  % (28878)Termination reason: Unknown
% 1.66/0.56  % (28878)Termination phase: Naming
% 1.66/0.56  
% 1.66/0.56  % (28878)Memory used [KB]: 1535
% 1.66/0.56  % (28878)Time elapsed: 0.003 s
% 1.66/0.56  % (28878)Instructions burned: 3 (million)
% 1.66/0.56  % (28878)------------------------------
% 1.66/0.56  % (28878)------------------------------
% 1.66/0.56  % (28873)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)
% 1.66/0.56  % (28888)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)
% 1.66/0.57  % (28880)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)
% 1.66/0.57  % (28883)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)
% 1.66/0.57  % (28864)Instruction limit reached!
% 1.66/0.57  % (28864)------------------------------
% 1.66/0.57  % (28864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (28865)Instruction limit reached!
% 1.66/0.57  % (28865)------------------------------
% 1.66/0.57  % (28865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (28865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (28865)Termination reason: Unknown
% 1.66/0.57  % (28865)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (28865)Memory used [KB]: 1791
% 1.66/0.57  % (28865)Time elapsed: 0.171 s
% 1.66/0.57  % (28865)Instructions burned: 15 (million)
% 1.66/0.57  % (28865)------------------------------
% 1.66/0.57  % (28865)------------------------------
% 1.66/0.57  % (28875)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)
% 1.66/0.57  % (28864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (28864)Termination reason: Unknown
% 1.66/0.57  % (28864)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (28864)Memory used [KB]: 6268
% 1.66/0.57  % (28864)Time elapsed: 0.164 s
% 1.66/0.57  % (28864)Instructions burned: 13 (million)
% 1.66/0.57  % (28864)------------------------------
% 1.66/0.57  % (28864)------------------------------
% 1.66/0.58  % (28885)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)
% 1.66/0.58  % (28888)Instruction limit reached!
% 1.66/0.58  % (28888)------------------------------
% 1.66/0.58  % (28888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (28888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (28888)Termination reason: Unknown
% 1.66/0.58  % (28888)Termination phase: Property scanning
% 1.66/0.58  
% 1.66/0.58  % (28888)Memory used [KB]: 1791
% 1.66/0.58  % (28888)Time elapsed: 0.009 s
% 1.66/0.58  % (28888)Instructions burned: 9 (million)
% 1.66/0.58  % (28888)------------------------------
% 1.66/0.58  % (28888)------------------------------
% 1.82/0.58  % (28866)Instruction limit reached!
% 1.82/0.58  % (28866)------------------------------
% 1.82/0.58  % (28866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58  % (28866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58  % (28866)Termination reason: Unknown
% 1.82/0.58  % (28866)Termination phase: Saturation
% 1.82/0.58  
% 1.82/0.58  % (28866)Memory used [KB]: 6524
% 1.82/0.58  % (28866)Time elapsed: 0.180 s
% 1.82/0.58  % (28866)Instructions burned: 39 (million)
% 1.82/0.58  % (28866)------------------------------
% 1.82/0.58  % (28866)------------------------------
% 1.82/0.58  % (28879)Refutation not found, incomplete strategy% (28879)------------------------------
% 1.82/0.58  % (28879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58  % (28879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58  % (28879)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.58  
% 1.82/0.58  % (28879)Memory used [KB]: 6268
% 1.82/0.58  % (28879)Time elapsed: 0.189 s
% 1.82/0.58  % (28879)Instructions burned: 8 (million)
% 1.82/0.58  % (28879)------------------------------
% 1.82/0.58  % (28879)------------------------------
% 1.82/0.59  % (28868)Instruction limit reached!
% 1.82/0.59  % (28868)------------------------------
% 1.82/0.59  % (28868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (28868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (28868)Termination reason: Unknown
% 1.82/0.59  % (28868)Termination phase: Saturation
% 1.82/0.59  
% 1.82/0.59  % (28868)Memory used [KB]: 7164
% 1.82/0.59  % (28868)Time elapsed: 0.170 s
% 1.82/0.59  % (28868)Instructions burned: 50 (million)
% 1.82/0.59  % (28868)------------------------------
% 1.82/0.59  % (28868)------------------------------
% 1.82/0.59  % (28877)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.82/0.59  % (28877)Instruction limit reached!
% 1.82/0.59  % (28877)------------------------------
% 1.82/0.59  % (28877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (28877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (28877)Termination reason: Unknown
% 1.82/0.59  % (28877)Termination phase: Naming
% 1.82/0.59  
% 1.82/0.59  % (28877)Memory used [KB]: 1663
% 1.82/0.59  % (28877)Time elapsed: 0.005 s
% 1.82/0.59  % (28877)Instructions burned: 3 (million)
% 1.82/0.59  % (28877)------------------------------
% 1.82/0.59  % (28877)------------------------------
% 1.82/0.59  % (28884)Instruction limit reached!
% 1.82/0.59  % (28884)------------------------------
% 1.82/0.59  % (28884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59  % (28884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59  % (28884)Termination reason: Unknown
% 1.82/0.59  % (28884)Termination phase: Saturation
% 1.82/0.59  
% 1.82/0.59  % (28884)Memory used [KB]: 6780
% 1.82/0.59  % (28884)Time elapsed: 0.185 s
% 1.82/0.59  % (28884)Instructions burned: 50 (million)
% 1.82/0.59  % (28884)------------------------------
% 1.82/0.59  % (28884)------------------------------
% 1.82/0.59  % (28887)Instruction limit reached!
% 1.82/0.59  % (28887)------------------------------
% 1.82/0.59  % (28887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (28889)Instruction limit reached!
% 1.82/0.60  % (28889)------------------------------
% 1.82/0.60  % (28889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (28869)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)
% 1.82/0.60  % (28875)Instruction limit reached!
% 1.82/0.60  % (28875)------------------------------
% 1.82/0.60  % (28875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60  % (28875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60  % (28875)Termination reason: Unknown
% 1.82/0.60  % (28875)Termination phase: Function definition elimination
% 1.82/0.60  
% 1.82/0.60  % (28875)Memory used [KB]: 1791
% 1.82/0.60  % (28875)Time elapsed: 0.007 s
% 1.82/0.60  % (28875)Instructions burned: 8 (million)
% 1.82/0.60  % (28875)------------------------------
% 1.82/0.60  % (28875)------------------------------
% 1.82/0.61  % (28861)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)
% 1.82/0.61  % (28887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (28887)Termination reason: Unknown
% 1.82/0.61  % (28887)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (28887)Memory used [KB]: 6652
% 1.82/0.61  % (28887)Time elapsed: 0.181 s
% 1.82/0.61  % (28887)Instructions burned: 25 (million)
% 1.82/0.61  % (28887)------------------------------
% 1.82/0.61  % (28887)------------------------------
% 1.82/0.61  % (28889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (28889)Termination reason: Unknown
% 1.82/0.61  % (28889)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (28889)Memory used [KB]: 6524
% 1.82/0.61  % (28889)Time elapsed: 0.191 s
% 1.82/0.61  % (28889)Instructions burned: 24 (million)
% 1.82/0.61  % (28889)------------------------------
% 1.82/0.61  % (28889)------------------------------
% 1.82/0.61  % (28867)Instruction limit reached!
% 1.82/0.61  % (28867)------------------------------
% 1.82/0.61  % (28867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61  % (28867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61  % (28867)Termination reason: Unknown
% 1.82/0.61  % (28867)Termination phase: Saturation
% 1.82/0.61  
% 1.82/0.61  % (28867)Memory used [KB]: 6652
% 1.82/0.61  % (28867)Time elapsed: 0.200 s
% 1.82/0.61  % (28867)Instructions burned: 39 (million)
% 1.82/0.61  % (28867)------------------------------
% 1.82/0.61  % (28867)------------------------------
% 1.82/0.61  % (28880)Instruction limit reached!
% 1.82/0.61  % (28880)------------------------------
% 1.82/0.61  % (28880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (28882)First to succeed.
% 1.82/0.62  % (28882)Refutation found. Thanks to Tanya!
% 1.82/0.62  % SZS status Theorem for theBenchmark
% 1.82/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.62  % (28882)------------------------------
% 1.82/0.62  % (28882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62  % (28882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62  % (28882)Termination reason: Refutation
% 1.82/0.62  
% 1.82/0.62  % (28882)Memory used [KB]: 7675
% 1.82/0.62  % (28882)Time elapsed: 0.190 s
% 1.82/0.62  % (28882)Instructions burned: 53 (million)
% 1.82/0.62  % (28882)------------------------------
% 1.82/0.62  % (28882)------------------------------
% 1.82/0.62  % (28859)Success in time 0.272 s
%------------------------------------------------------------------------------