TSTP Solution File: SWC402+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC402+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 : n012.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 18:43:38 EDT 2022

% Result   : Theorem 2.23s 0.64s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (  24 unt;   0 def)
%            Number of atoms       :  643 ( 170 equ)
%            Maximal formula atoms :   58 (   8 avg)
%            Number of connectives :  920 ( 350   ~; 311   |; 228   &)
%                                         (   4 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :  285 ( 197   !;  88   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1726,plain,
    $false,
    inference(subsumption_resolution,[],[f1725,f957]) ).

fof(f957,plain,
    ssList(sK15(sK29,sF60)),
    inference(subsumption_resolution,[],[f956,f467]) ).

fof(f467,plain,
    ssList(sK29),
    inference(cnf_transformation,[],[f297]) ).

fof(f297,plain,
    ( ssList(sK29)
    & ssList(sK30)
    & ssList(sK31)
    & ssList(sK32)
    & ssList(sK33)
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( app(cons(X6,nil),X7) != sK33
            | ~ ssList(X7)
            | ! [X8] :
                ( ~ ssItem(X8)
                | ! [X9] :
                    ( ~ ssList(X9)
                    | sK30 != app(X9,cons(X8,nil))
                    | ~ leq(X8,X6) ) ) ) )
    & totalorderedP(sK30)
    & app(app(sK32,sK30),sK33) = sK31
    & ! [X10] :
        ( ! [X11] :
            ( ! [X12] :
                ( ~ ssItem(X12)
                | ! [X13] :
                    ( ~ ssList(X13)
                    | sK30 != app(cons(X12,nil),X13)
                    | ~ leq(X10,X12) ) )
            | ~ ssList(X11)
            | sK32 != app(X11,cons(X10,nil)) )
        | ~ ssItem(X10) )
    & ~ memberP(sK29,sK34)
    & memberP(sK28,sK34)
    & ssItem(sK34)
    & sK30 = sK28
    & ( nil = sK31
      | nil != sK30 )
    & sK29 = sK31
    & ssList(sK28) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34])],[f289,f296,f295,f294,f293,f292,f291,f290]) ).

fof(f290,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & ? [X4] :
                        ( ssList(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | ! [X7] :
                                    ( app(cons(X6,nil),X7) != X5
                                    | ~ ssList(X7)
                                    | ! [X8] :
                                        ( ~ ssItem(X8)
                                        | ! [X9] :
                                            ( ~ ssList(X9)
                                            | app(X9,cons(X8,nil)) != X2
                                            | ~ leq(X8,X6) ) ) ) )
                            & totalorderedP(X2)
                            & app(app(X4,X2),X5) = X3
                            & ! [X10] :
                                ( ! [X11] :
                                    ( ! [X12] :
                                        ( ~ ssItem(X12)
                                        | ! [X13] :
                                            ( ~ ssList(X13)
                                            | app(cons(X12,nil),X13) != X2
                                            | ~ leq(X10,X12) ) )
                                    | ~ ssList(X11)
                                    | app(X11,cons(X10,nil)) != X4 )
                                | ~ ssItem(X10) ) ) )
                    & ? [X14] :
                        ( ~ memberP(X1,X14)
                        & memberP(X0,X14)
                        & ssItem(X14) )
                    & X0 = X2
                    & ( nil = X3
                      | nil != X2 )
                    & X1 = X3 ) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ! [X9] :
                                          ( ~ ssList(X9)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ leq(X8,X6) ) ) ) )
                          & totalorderedP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | app(cons(X12,nil),X13) != X2
                                          | ~ leq(X10,X12) ) )
                                  | ~ ssList(X11)
                                  | app(X11,cons(X10,nil)) != X4 )
                              | ~ ssItem(X10) ) ) )
                  & ? [X14] :
                      ( ~ memberP(X1,X14)
                      & memberP(sK28,X14)
                      & ssItem(X14) )
                  & sK28 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3 ) ) )
      & ssList(sK28) ) ),
    introduced(choice_axiom,[]) ).

fof(f291,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & ? [X5] :
                        ( ssList(X5)
                        & ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( app(cons(X6,nil),X7) != X5
                                | ~ ssList(X7)
                                | ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ! [X9] :
                                        ( ~ ssList(X9)
                                        | app(X9,cons(X8,nil)) != X2
                                        | ~ leq(X8,X6) ) ) ) )
                        & totalorderedP(X2)
                        & app(app(X4,X2),X5) = X3
                        & ! [X10] :
                            ( ! [X11] :
                                ( ! [X12] :
                                    ( ~ ssItem(X12)
                                    | ! [X13] :
                                        ( ~ ssList(X13)
                                        | app(cons(X12,nil),X13) != X2
                                        | ~ leq(X10,X12) ) )
                                | ~ ssList(X11)
                                | app(X11,cons(X10,nil)) != X4 )
                            | ~ ssItem(X10) ) ) )
                & ? [X14] :
                    ( ~ memberP(X1,X14)
                    & memberP(sK28,X14)
                    & ssItem(X14) )
                & sK28 = X2
                & ( nil = X3
                  | nil != X2 )
                & X1 = X3 ) ) )
   => ( ssList(sK29)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( app(cons(X6,nil),X7) != X5
                              | ~ ssList(X7)
                              | ! [X8] :
                                  ( ~ ssItem(X8)
                                  | ! [X9] :
                                      ( ~ ssList(X9)
                                      | app(X9,cons(X8,nil)) != X2
                                      | ~ leq(X8,X6) ) ) ) )
                      & totalorderedP(X2)
                      & app(app(X4,X2),X5) = X3
                      & ! [X10] :
                          ( ! [X11] :
                              ( ! [X12] :
                                  ( ~ ssItem(X12)
                                  | ! [X13] :
                                      ( ~ ssList(X13)
                                      | app(cons(X12,nil),X13) != X2
                                      | ~ leq(X10,X12) ) )
                              | ~ ssList(X11)
                              | app(X11,cons(X10,nil)) != X4 )
                          | ~ ssItem(X10) ) ) )
              & ? [X14] :
                  ( ~ memberP(sK29,X14)
                  & memberP(sK28,X14)
                  & ssItem(X14) )
              & sK28 = X2
              & ( nil = X3
                | nil != X2 )
              & sK29 = X3 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f292,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ssList(X3)
            & ? [X4] :
                ( ssList(X4)
                & ? [X5] :
                    ( ssList(X5)
                    & ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( app(cons(X6,nil),X7) != X5
                            | ~ ssList(X7)
                            | ! [X8] :
                                ( ~ ssItem(X8)
                                | ! [X9] :
                                    ( ~ ssList(X9)
                                    | app(X9,cons(X8,nil)) != X2
                                    | ~ leq(X8,X6) ) ) ) )
                    & totalorderedP(X2)
                    & app(app(X4,X2),X5) = X3
                    & ! [X10] :
                        ( ! [X11] :
                            ( ! [X12] :
                                ( ~ ssItem(X12)
                                | ! [X13] :
                                    ( ~ ssList(X13)
                                    | app(cons(X12,nil),X13) != X2
                                    | ~ leq(X10,X12) ) )
                            | ~ ssList(X11)
                            | app(X11,cons(X10,nil)) != X4 )
                        | ~ ssItem(X10) ) ) )
            & ? [X14] :
                ( ~ memberP(sK29,X14)
                & memberP(sK28,X14)
                & ssItem(X14) )
            & sK28 = X2
            & ( nil = X3
              | nil != X2 )
            & sK29 = X3 ) )
   => ( ssList(sK30)
      & ? [X3] :
          ( ssList(X3)
          & ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X5
                          | ~ ssList(X7)
                          | ! [X8] :
                              ( ~ ssItem(X8)
                              | ! [X9] :
                                  ( ~ ssList(X9)
                                  | sK30 != app(X9,cons(X8,nil))
                                  | ~ leq(X8,X6) ) ) ) )
                  & totalorderedP(sK30)
                  & app(app(X4,sK30),X5) = X3
                  & ! [X10] :
                      ( ! [X11] :
                          ( ! [X12] :
                              ( ~ ssItem(X12)
                              | ! [X13] :
                                  ( ~ ssList(X13)
                                  | sK30 != app(cons(X12,nil),X13)
                                  | ~ leq(X10,X12) ) )
                          | ~ ssList(X11)
                          | app(X11,cons(X10,nil)) != X4 )
                      | ~ ssItem(X10) ) ) )
          & ? [X14] :
              ( ~ memberP(sK29,X14)
              & memberP(sK28,X14)
              & ssItem(X14) )
          & sK30 = sK28
          & ( nil = X3
            | nil != sK30 )
          & sK29 = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f293,plain,
    ( ? [X3] :
        ( ssList(X3)
        & ? [X4] :
            ( ssList(X4)
            & ? [X5] :
                ( ssList(X5)
                & ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( app(cons(X6,nil),X7) != X5
                        | ~ ssList(X7)
                        | ! [X8] :
                            ( ~ ssItem(X8)
                            | ! [X9] :
                                ( ~ ssList(X9)
                                | sK30 != app(X9,cons(X8,nil))
                                | ~ leq(X8,X6) ) ) ) )
                & totalorderedP(sK30)
                & app(app(X4,sK30),X5) = X3
                & ! [X10] :
                    ( ! [X11] :
                        ( ! [X12] :
                            ( ~ ssItem(X12)
                            | ! [X13] :
                                ( ~ ssList(X13)
                                | sK30 != app(cons(X12,nil),X13)
                                | ~ leq(X10,X12) ) )
                        | ~ ssList(X11)
                        | app(X11,cons(X10,nil)) != X4 )
                    | ~ ssItem(X10) ) ) )
        & ? [X14] :
            ( ~ memberP(sK29,X14)
            & memberP(sK28,X14)
            & ssItem(X14) )
        & sK30 = sK28
        & ( nil = X3
          | nil != sK30 )
        & sK29 = X3 )
   => ( ssList(sK31)
      & ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( ssList(X5)
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( app(cons(X6,nil),X7) != X5
                      | ~ ssList(X7)
                      | ! [X8] :
                          ( ~ ssItem(X8)
                          | ! [X9] :
                              ( ~ ssList(X9)
                              | sK30 != app(X9,cons(X8,nil))
                              | ~ leq(X8,X6) ) ) ) )
              & totalorderedP(sK30)
              & app(app(X4,sK30),X5) = sK31
              & ! [X10] :
                  ( ! [X11] :
                      ( ! [X12] :
                          ( ~ ssItem(X12)
                          | ! [X13] :
                              ( ~ ssList(X13)
                              | sK30 != app(cons(X12,nil),X13)
                              | ~ leq(X10,X12) ) )
                      | ~ ssList(X11)
                      | app(X11,cons(X10,nil)) != X4 )
                  | ~ ssItem(X10) ) ) )
      & ? [X14] :
          ( ~ memberP(sK29,X14)
          & memberP(sK28,X14)
          & ssItem(X14) )
      & sK30 = sK28
      & ( nil = sK31
        | nil != sK30 )
      & sK29 = sK31 ) ),
    introduced(choice_axiom,[]) ).

fof(f294,plain,
    ( ? [X4] :
        ( ssList(X4)
        & ? [X5] :
            ( ssList(X5)
            & ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7)
                    | ! [X8] :
                        ( ~ ssItem(X8)
                        | ! [X9] :
                            ( ~ ssList(X9)
                            | sK30 != app(X9,cons(X8,nil))
                            | ~ leq(X8,X6) ) ) ) )
            & totalorderedP(sK30)
            & app(app(X4,sK30),X5) = sK31
            & ! [X10] :
                ( ! [X11] :
                    ( ! [X12] :
                        ( ~ ssItem(X12)
                        | ! [X13] :
                            ( ~ ssList(X13)
                            | sK30 != app(cons(X12,nil),X13)
                            | ~ leq(X10,X12) ) )
                    | ~ ssList(X11)
                    | app(X11,cons(X10,nil)) != X4 )
                | ~ ssItem(X10) ) ) )
   => ( ssList(sK32)
      & ? [X5] :
          ( ssList(X5)
          & ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7)
                  | ! [X8] :
                      ( ~ ssItem(X8)
                      | ! [X9] :
                          ( ~ ssList(X9)
                          | sK30 != app(X9,cons(X8,nil))
                          | ~ leq(X8,X6) ) ) ) )
          & totalorderedP(sK30)
          & app(app(sK32,sK30),X5) = sK31
          & ! [X10] :
              ( ! [X11] :
                  ( ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ ssList(X13)
                          | sK30 != app(cons(X12,nil),X13)
                          | ~ leq(X10,X12) ) )
                  | ~ ssList(X11)
                  | sK32 != app(X11,cons(X10,nil)) )
              | ~ ssItem(X10) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f295,plain,
    ( ? [X5] :
        ( ssList(X5)
        & ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( app(cons(X6,nil),X7) != X5
                | ~ ssList(X7)
                | ! [X8] :
                    ( ~ ssItem(X8)
                    | ! [X9] :
                        ( ~ ssList(X9)
                        | sK30 != app(X9,cons(X8,nil))
                        | ~ leq(X8,X6) ) ) ) )
        & totalorderedP(sK30)
        & app(app(sK32,sK30),X5) = sK31
        & ! [X10] :
            ( ! [X11] :
                ( ! [X12] :
                    ( ~ ssItem(X12)
                    | ! [X13] :
                        ( ~ ssList(X13)
                        | sK30 != app(cons(X12,nil),X13)
                        | ~ leq(X10,X12) ) )
                | ~ ssList(X11)
                | sK32 != app(X11,cons(X10,nil)) )
            | ~ ssItem(X10) ) )
   => ( ssList(sK33)
      & ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( app(cons(X6,nil),X7) != sK33
              | ~ ssList(X7)
              | ! [X8] :
                  ( ~ ssItem(X8)
                  | ! [X9] :
                      ( ~ ssList(X9)
                      | sK30 != app(X9,cons(X8,nil))
                      | ~ leq(X8,X6) ) ) ) )
      & totalorderedP(sK30)
      & app(app(sK32,sK30),sK33) = sK31
      & ! [X10] :
          ( ! [X11] :
              ( ! [X12] :
                  ( ~ ssItem(X12)
                  | ! [X13] :
                      ( ~ ssList(X13)
                      | sK30 != app(cons(X12,nil),X13)
                      | ~ leq(X10,X12) ) )
              | ~ ssList(X11)
              | sK32 != app(X11,cons(X10,nil)) )
          | ~ ssItem(X10) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f296,plain,
    ( ? [X14] :
        ( ~ memberP(sK29,X14)
        & memberP(sK28,X14)
        & ssItem(X14) )
   => ( ~ memberP(sK29,sK34)
      & memberP(sK28,sK34)
      & ssItem(sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f289,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7)
                                  | ! [X8] :
                                      ( ~ ssItem(X8)
                                      | ! [X9] :
                                          ( ~ ssList(X9)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ leq(X8,X6) ) ) ) )
                          & totalorderedP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | app(cons(X12,nil),X13) != X2
                                          | ~ leq(X10,X12) ) )
                                  | ~ ssList(X11)
                                  | app(X11,cons(X10,nil)) != X4 )
                              | ~ ssItem(X10) ) ) )
                  & ? [X14] :
                      ( ~ memberP(X1,X14)
                      & memberP(X0,X14)
                      & ssItem(X14) )
                  & X0 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3 ) ) )
      & ssList(X0) ),
    inference(rectify,[],[f179]) ).

fof(f179,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ? [X5] :
                      ( ssList(X5)
                      & ? [X6] :
                          ( ssList(X6)
                          & ! [X7] :
                              ( ~ ssItem(X7)
                              | ! [X8] :
                                  ( app(cons(X7,nil),X8) != X6
                                  | ~ ssList(X8)
                                  | ! [X9] :
                                      ( ~ ssItem(X9)
                                      | ! [X10] :
                                          ( ~ ssList(X10)
                                          | app(X10,cons(X9,nil)) != X2
                                          | ~ leq(X9,X7) ) ) ) )
                          & totalorderedP(X2)
                          & app(app(X5,X2),X6) = X3
                          & ! [X11] :
                              ( ! [X12] :
                                  ( ! [X13] :
                                      ( ~ ssItem(X13)
                                      | ! [X14] :
                                          ( ~ ssList(X14)
                                          | app(cons(X13,nil),X14) != X2
                                          | ~ leq(X11,X13) ) )
                                  | ~ ssList(X12)
                                  | app(X12,cons(X11,nil)) != X5 )
                              | ~ ssItem(X11) ) ) )
                  & ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,X4)
                      & ssItem(X4) )
                  & X0 = X2
                  & ( nil = X3
                    | nil != X2 )
                  & X1 = X3 ) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ! [X4] :
                        ( memberP(X1,X4)
                        | ~ ssItem(X4)
                        | ~ memberP(X0,X4) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ~ ssList(X6)
                            | ? [X7] :
                                ( ? [X8] :
                                    ( ssList(X8)
                                    & ? [X9] :
                                        ( ssItem(X9)
                                        & ? [X10] :
                                            ( leq(X9,X7)
                                            & app(X10,cons(X9,nil)) = X2
                                            & ssList(X10) ) )
                                    & app(cons(X7,nil),X8) = X6 )
                                & ssItem(X7) )
                            | ? [X11] :
                                ( ssItem(X11)
                                & ? [X12] :
                                    ( ? [X13] :
                                        ( ssItem(X13)
                                        & ? [X14] :
                                            ( ssList(X14)
                                            & app(cons(X13,nil),X14) = X2
                                            & leq(X11,X13) ) )
                                    & ssList(X12)
                                    & app(X12,cons(X11,nil)) = X5 ) )
                            | app(app(X5,X2),X6) != X3
                            | ~ totalorderedP(X2) ) )
                    | X1 != X3
                    | ( nil != X3
                      & nil = X2 )
                    | X0 != X2
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ~ ssList(X3)
                    | X1 != X3
                    | X0 != X2
                    | ! [X14] :
                        ( memberP(X1,X14)
                        | ~ memberP(X0,X14)
                        | ~ ssItem(X14) )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ? [X10] :
                                ( ssItem(X10)
                                & ? [X11] :
                                    ( ? [X12] :
                                        ( ? [X13] :
                                            ( ssList(X13)
                                            & leq(X12,X10)
                                            & app(X13,cons(X12,nil)) = X2 )
                                        & ssItem(X12) )
                                    & ssList(X11)
                                    & app(cons(X10,nil),X11) = X5 ) )
                            | app(app(X4,X2),X5) != X3
                            | ~ totalorderedP(X2)
                            | ~ ssList(X5)
                            | ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( leq(X6,X8)
                                            & app(cons(X8,nil),X9) = X2
                                            & ssList(X9) )
                                        & ssItem(X8) )
                                    & ssList(X7)
                                    & app(X7,cons(X6,nil)) = X4 )
                                & ssItem(X6) ) ) )
                    | ( nil != X3
                      & nil = X2 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | ! [X14] :
                      ( memberP(X1,X14)
                      | ~ memberP(X0,X14)
                      | ~ ssItem(X14) )
                  | ! [X4] :
                      ( ssList(X4)
                     => ! [X5] :
                          ( ? [X10] :
                              ( ssItem(X10)
                              & ? [X11] :
                                  ( ? [X12] :
                                      ( ? [X13] :
                                          ( ssList(X13)
                                          & leq(X12,X10)
                                          & app(X13,cons(X12,nil)) = X2 )
                                      & ssItem(X12) )
                                  & ssList(X11)
                                  & app(cons(X10,nil),X11) = X5 ) )
                          | app(app(X4,X2),X5) != X3
                          | ~ totalorderedP(X2)
                          | ~ ssList(X5)
                          | ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( ? [X9] :
                                          ( leq(X6,X8)
                                          & app(cons(X8,nil),X9) = X2
                                          & ssList(X9) )
                                      & ssItem(X8) )
                                  & ssList(X7)
                                  & app(X7,cons(X6,nil)) = X4 )
                              & ssItem(X6) ) ) )
                  | ( nil != X3
                    & nil = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f956,plain,
    ( ssList(sK15(sK29,sF60))
    | ~ ssList(sK29) ),
    inference(subsumption_resolution,[],[f948,f699]) ).

fof(f699,plain,
    ssList(sF60),
    inference(subsumption_resolution,[],[f698,f464]) ).

fof(f464,plain,
    ssList(sK32),
    inference(cnf_transformation,[],[f297]) ).

fof(f698,plain,
    ( ssList(sF60)
    | ~ ssList(sK32) ),
    inference(subsumption_resolution,[],[f693,f604]) ).

fof(f604,plain,
    ssList(sK28),
    inference(forward_demodulation,[],[f466,f455]) ).

fof(f455,plain,
    sK30 = sK28,
    inference(cnf_transformation,[],[f297]) ).

fof(f466,plain,
    ssList(sK30),
    inference(cnf_transformation,[],[f297]) ).

fof(f693,plain,
    ( ssList(sF60)
    | ~ ssList(sK28)
    | ~ ssList(sK32) ),
    inference(superposition,[],[f523,f613]) ).

fof(f613,plain,
    sF60 = app(sK32,sK28),
    inference(forward_demodulation,[],[f594,f455]) ).

fof(f594,plain,
    sF60 = app(sK32,sK30),
    introduced(function_definition,[]) ).

fof(f523,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,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(f948,plain,
    ( ssList(sK15(sK29,sF60))
    | ~ ssList(sF60)
    | ~ ssList(sK29) ),
    inference(resolution,[],[f403,f725]) ).

fof(f725,plain,
    frontsegP(sK29,sF60),
    inference(subsumption_resolution,[],[f724,f699]) ).

fof(f724,plain,
    ( frontsegP(sK29,sF60)
    | ~ ssList(sF60) ),
    inference(subsumption_resolution,[],[f721,f463]) ).

fof(f463,plain,
    ssList(sK33),
    inference(cnf_transformation,[],[f297]) ).

fof(f721,plain,
    ( ~ ssList(sK33)
    | ~ ssList(sF60)
    | frontsegP(sK29,sF60) ),
    inference(superposition,[],[f612,f611]) ).

fof(f611,plain,
    sK29 = app(sF60,sK33),
    inference(forward_demodulation,[],[f595,f608]) ).

fof(f608,plain,
    sF61 = sK29,
    inference(backward_demodulation,[],[f596,f453]) ).

fof(f453,plain,
    sK29 = sK31,
    inference(cnf_transformation,[],[f297]) ).

fof(f596,plain,
    sF61 = sK31,
    inference(definition_folding,[],[f460,f595,f594]) ).

fof(f460,plain,
    app(app(sK32,sK30),sK33) = sK31,
    inference(cnf_transformation,[],[f297]) ).

fof(f595,plain,
    sF61 = app(sF60,sK33),
    introduced(function_definition,[]) ).

fof(f612,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f572,f523]) ).

fof(f572,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X3))
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f401]) ).

fof(f401,plain,
    ! [X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | frontsegP(X0,X1)
      | ~ ssList(X3)
      | app(X1,X3) != X0 ),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ( ssList(sK15(X0,X1))
                & app(X1,sK15(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X1,X3) != X0 ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f256,f257]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ssList(X2)
          & app(X1,X2) = X0 )
     => ( ssList(sK15(X0,X1))
        & app(X1,sK15(X0,X1)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( ~ ssList(X3)
                  | app(X1,X3) != X0 ) ) ) ) ),
    inference(rectify,[],[f255]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) ) ) ) ),
    inference(nnf_transformation,[],[f131]) ).

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

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

fof(f403,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ssList(sK15(X0,X1))
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f1725,plain,
    ~ ssList(sK15(sK29,sF60)),
    inference(subsumption_resolution,[],[f1723,f458]) ).

fof(f458,plain,
    ~ memberP(sK29,sK34),
    inference(cnf_transformation,[],[f297]) ).

fof(f1723,plain,
    ( memberP(sK29,sK34)
    | ~ ssList(sK15(sK29,sF60)) ),
    inference(superposition,[],[f1444,f1329]) ).

fof(f1329,plain,
    sK29 = app(sF60,sK15(sK29,sF60)),
    inference(subsumption_resolution,[],[f1328,f699]) ).

fof(f1328,plain,
    ( ~ ssList(sF60)
    | sK29 = app(sF60,sK15(sK29,sF60)) ),
    inference(subsumption_resolution,[],[f1323,f467]) ).

fof(f1323,plain,
    ( ~ ssList(sK29)
    | ~ ssList(sF60)
    | sK29 = app(sF60,sK15(sK29,sF60)) ),
    inference(resolution,[],[f402,f725]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,sK15(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f258]) ).

fof(f1444,plain,
    ! [X0] :
      ( memberP(app(sF60,X0),sK34)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1443,f456]) ).

fof(f456,plain,
    ssItem(sK34),
    inference(cnf_transformation,[],[f297]) ).

fof(f1443,plain,
    ! [X0] :
      ( memberP(app(sF60,X0),sK34)
      | ~ ssItem(sK34)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1435,f699]) ).

fof(f1435,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | memberP(app(sF60,X0),sK34)
      | ~ ssList(sF60)
      | ~ ssItem(sK34) ),
    inference(resolution,[],[f1388,f425]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X1,X0)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | memberP(app(X1,X2),X0) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) ) )
          | ~ ssList(X1) ) ),
    inference(flattening,[],[f270]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X1,X0)
                    & ~ memberP(X2,X0) ) )
                & ( memberP(X1,X0)
                  | memberP(X2,X0)
                  | ~ memberP(app(X1,X2),X0) ) ) )
          | ~ ssList(X1) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ~ ssList(X2)
              | ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) ) )
          | ~ ssList(X1) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f1388,plain,
    memberP(sF60,sK34),
    inference(subsumption_resolution,[],[f1387,f464]) ).

fof(f1387,plain,
    ( memberP(sF60,sK34)
    | ~ ssList(sK32) ),
    inference(superposition,[],[f1373,f613]) ).

fof(f1373,plain,
    ! [X0] :
      ( memberP(app(X0,sK28),sK34)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1372,f604]) ).

fof(f1372,plain,
    ! [X0] :
      ( ~ ssList(sK28)
      | memberP(app(X0,sK28),sK34)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f1366,f456]) ).

fof(f1366,plain,
    ! [X0] :
      ( memberP(app(X0,sK28),sK34)
      | ~ ssItem(sK34)
      | ~ ssList(sK28)
      | ~ ssList(X0) ),
    inference(resolution,[],[f424,f457]) ).

fof(f457,plain,
    memberP(sK28,sK34),
    inference(cnf_transformation,[],[f297]) ).

fof(f424,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X2,X0)
      | ~ ssItem(X0)
      | memberP(app(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC402+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:53:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (1282)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (1297)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)
% 0.20/0.50  % (1292)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)
% 0.20/0.50  % (1284)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)
% 0.20/0.50  % (1289)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)
% 0.20/0.51  % (1276)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)
% 0.20/0.51  % (1281)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)
% 0.20/0.51  % (1272)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)
% 0.20/0.51  % (1273)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)
% 0.20/0.51  % (1283)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (1270)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)
% 0.20/0.53  % (1285)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)
% 0.20/0.53  % (1295)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (1274)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (1294)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (1296)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)
% 0.20/0.53  % (1275)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)
% 0.20/0.53  % (1271)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)
% 0.20/0.54  % (1277)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (1299)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)
% 0.20/0.54  % (1293)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)
% 0.20/0.54  % (1287)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (1288)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (1286)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)
% 0.20/0.54  % (1298)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  TRYING [2]
% 0.20/0.55  % (1279)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)
% 0.20/0.55  % (1291)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (1278)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (1280)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (1290)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)
% 0.20/0.55  % (1278)Instruction limit reached!
% 0.20/0.55  % (1278)------------------------------
% 0.20/0.55  % (1278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (1278)Termination reason: Unknown
% 0.20/0.55  % (1278)Termination phase: Naming
% 0.20/0.55  
% 0.20/0.55  % (1278)Memory used [KB]: 1151
% 0.20/0.55  % (1278)Time elapsed: 0.002 s
% 0.20/0.55  % (1278)Instructions burned: 3 (million)
% 0.20/0.55  % (1278)------------------------------
% 0.20/0.55  % (1278)------------------------------
% 0.20/0.56  % (1277)Instruction limit reached!
% 0.20/0.56  % (1277)------------------------------
% 0.20/0.56  % (1277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (1277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1277)Termination reason: Unknown
% 0.20/0.56  % (1277)Termination phase: Function definition elimination
% 0.20/0.56  
% 0.20/0.56  % (1277)Memory used [KB]: 1279
% 0.20/0.56  % (1277)Time elapsed: 0.006 s
% 0.20/0.56  % (1277)Instructions burned: 8 (million)
% 0.20/0.56  % (1277)------------------------------
% 0.20/0.56  % (1277)------------------------------
% 0.20/0.56  % (1271)Refutation not found, incomplete strategy% (1271)------------------------------
% 0.20/0.56  % (1271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (1271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1271)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (1271)Memory used [KB]: 6140
% 0.20/0.56  % (1271)Time elapsed: 0.157 s
% 0.20/0.56  % (1271)Instructions burned: 25 (million)
% 0.20/0.56  % (1271)------------------------------
% 0.20/0.56  % (1271)------------------------------
% 0.20/0.57  % (1276)Instruction limit reached!
% 0.20/0.57  % (1276)------------------------------
% 0.20/0.57  % (1276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (1276)Termination reason: Unknown
% 0.20/0.57  % (1276)Termination phase: Finite model building constraint generation
% 0.20/0.57  
% 0.20/0.57  % (1276)Memory used [KB]: 7164
% 0.20/0.57  % (1276)Time elapsed: 0.121 s
% 0.20/0.57  % (1276)Instructions burned: 52 (million)
% 0.20/0.57  % (1276)------------------------------
% 0.20/0.57  % (1276)------------------------------
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.59  % (1272)Instruction limit reached!
% 0.20/0.59  % (1272)------------------------------
% 0.20/0.59  % (1272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (1272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (1272)Termination reason: Unknown
% 0.20/0.59  % (1272)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (1272)Memory used [KB]: 1791
% 0.20/0.59  % (1272)Time elapsed: 0.175 s
% 0.20/0.59  % (1272)Instructions burned: 37 (million)
% 0.20/0.59  % (1272)------------------------------
% 0.20/0.59  % (1272)------------------------------
% 0.20/0.59  TRYING [1]
% 0.20/0.60  % (1284)Instruction limit reached!
% 0.20/0.60  % (1284)------------------------------
% 0.20/0.60  % (1284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (1284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (1284)Termination reason: Unknown
% 0.20/0.60  % (1284)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (1284)Memory used [KB]: 7164
% 0.20/0.60  % (1284)Time elapsed: 0.075 s
% 0.20/0.60  % (1284)Instructions burned: 68 (million)
% 0.20/0.60  % (1284)------------------------------
% 0.20/0.60  % (1284)------------------------------
% 0.20/0.60  TRYING [2]
% 1.91/0.61  TRYING [3]
% 1.91/0.61  % (1275)Instruction limit reached!
% 1.91/0.61  % (1275)------------------------------
% 1.91/0.61  % (1275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (1275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (1275)Termination reason: Unknown
% 1.91/0.61  % (1275)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (1275)Memory used [KB]: 6268
% 1.91/0.61  % (1275)Time elapsed: 0.219 s
% 1.91/0.61  % (1275)Instructions burned: 48 (million)
% 1.91/0.61  % (1275)------------------------------
% 1.91/0.61  % (1275)------------------------------
% 1.91/0.61  % (1297)First to succeed.
% 1.91/0.62  % (1274)Instruction limit reached!
% 1.91/0.62  % (1274)------------------------------
% 1.91/0.62  % (1274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (1274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (1274)Termination reason: Unknown
% 1.91/0.62  % (1274)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (1274)Memory used [KB]: 6652
% 1.91/0.62  % (1274)Time elapsed: 0.222 s
% 1.91/0.62  % (1274)Instructions burned: 52 (million)
% 1.91/0.62  % (1274)------------------------------
% 1.91/0.62  % (1274)------------------------------
% 1.91/0.62  % (1273)Instruction limit reached!
% 1.91/0.62  % (1273)------------------------------
% 1.91/0.62  % (1273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (1273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (1273)Termination reason: Unknown
% 1.91/0.62  % (1273)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (1273)Memory used [KB]: 6652
% 1.91/0.62  % (1273)Time elapsed: 0.204 s
% 1.91/0.62  % (1273)Instructions burned: 53 (million)
% 1.91/0.62  % (1273)------------------------------
% 1.91/0.62  % (1273)------------------------------
% 2.15/0.62  % (1279)Instruction limit reached!
% 2.15/0.62  % (1279)------------------------------
% 2.15/0.62  % (1279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.62  % (1279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.62  % (1279)Termination reason: Unknown
% 2.15/0.62  % (1279)Termination phase: Saturation
% 2.15/0.62  
% 2.15/0.62  % (1279)Memory used [KB]: 2174
% 2.15/0.62  % (1279)Time elapsed: 0.233 s
% 2.15/0.62  % (1279)Instructions burned: 51 (million)
% 2.15/0.62  % (1279)------------------------------
% 2.15/0.62  % (1279)------------------------------
% 2.15/0.62  % (1287)Instruction limit reached!
% 2.15/0.62  % (1287)------------------------------
% 2.15/0.62  % (1287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (1287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (1287)Termination reason: Unknown
% 2.15/0.63  % (1287)Termination phase: Finite model building constraint generation
% 2.15/0.63  
% 2.15/0.63  % (1287)Memory used [KB]: 7547
% 2.15/0.63  % (1287)Time elapsed: 0.215 s
% 2.15/0.63  % (1287)Instructions burned: 59 (million)
% 2.15/0.63  % (1287)------------------------------
% 2.15/0.63  % (1287)------------------------------
% 2.15/0.63  % (1280)Instruction limit reached!
% 2.15/0.63  % (1280)------------------------------
% 2.15/0.63  % (1280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (1280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (1280)Termination reason: Unknown
% 2.15/0.63  % (1280)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (1280)Memory used [KB]: 6780
% 2.15/0.63  % (1280)Time elapsed: 0.220 s
% 2.15/0.63  % (1280)Instructions burned: 52 (million)
% 2.15/0.63  % (1280)------------------------------
% 2.15/0.63  % (1280)------------------------------
% 2.23/0.64  % (1297)Refutation found. Thanks to Tanya!
% 2.23/0.64  % SZS status Theorem for theBenchmark
% 2.23/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.64  % (1297)------------------------------
% 2.23/0.64  % (1297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64  % (1297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64  % (1297)Termination reason: Refutation
% 2.23/0.64  
% 2.23/0.64  % (1297)Memory used [KB]: 2558
% 2.23/0.64  % (1297)Time elapsed: 0.218 s
% 2.23/0.64  % (1297)Instructions burned: 74 (million)
% 2.23/0.64  % (1297)------------------------------
% 2.23/0.64  % (1297)------------------------------
% 2.23/0.64  % (1269)Success in time 0.279 s
%------------------------------------------------------------------------------