TSTP Solution File: SWC227+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC227+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 : n009.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 18:39:44 EDT 2022

% Result   : Theorem 1.49s 0.55s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (   9 unt;   0 def)
%            Number of atoms       :  815 ( 218 equ)
%            Maximal formula atoms :   72 (   9 avg)
%            Number of connectives : 1198 ( 469   ~; 441   |; 260   &)
%                                         (   4 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :  322 ( 231   !;  91   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f511,plain,
    $false,
    inference(avatar_sat_refutation,[],[f290,f291,f481,f491,f510]) ).

fof(f510,plain,
    ( ~ spl19_2
    | spl19_5
    | ~ spl19_8
    | ~ spl19_9 ),
    inference(avatar_contradiction_clause,[],[f509]) ).

fof(f509,plain,
    ( $false
    | ~ spl19_2
    | spl19_5
    | ~ spl19_8
    | ~ spl19_9 ),
    inference(subsumption_resolution,[],[f505,f476]) ).

fof(f476,plain,
    ( ssItem(sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ spl19_8 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl19_8
  <=> ssItem(sK11(sK3(sK7),nil,sK2(sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

fof(f505,plain,
    ( ~ ssItem(sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ spl19_2
    | spl19_5
    | ~ spl19_9 ),
    inference(resolution,[],[f504,f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f504,plain,
    ( memberP(nil,sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ spl19_2
    | spl19_5
    | ~ spl19_9 ),
    inference(subsumption_resolution,[],[f503,f479]) ).

fof(f479,plain,
    ( ssList(cons(sK3(sK7),nil))
    | ~ spl19_9 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl19_9
  <=> ssList(cons(sK3(sK7),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).

fof(f503,plain,
    ( memberP(nil,sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ ssList(cons(sK3(sK7),nil))
    | ~ spl19_2
    | spl19_5 ),
    inference(subsumption_resolution,[],[f502,f288]) ).

fof(f288,plain,
    ( nil != sK7
    | spl19_5 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl19_5
  <=> nil = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

fof(f502,plain,
    ( nil = sK7
    | memberP(nil,sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ ssList(cons(sK3(sK7),nil))
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f501,f216]) ).

fof(f216,plain,
    ssList(sK7),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ssList(sK5)
    & ssList(sK6)
    & ssList(sK7)
    & nil != sK5
    & ssList(sK9)
    & app(app(sK9,sK7),sK10) = sK8
    & ! [X6] :
        ( ! [X7] :
            ( ~ ssList(X7)
            | ! [X8] :
                ( ! [X9] :
                    ( sK7 != app(X9,cons(X8,nil))
                    | ~ ssList(X9)
                    | ~ leq(X8,X6) )
                | ~ ssItem(X8) )
            | app(cons(X6,nil),X7) != sK10 )
        | ~ ssItem(X6) )
    & ! [X10] :
        ( ! [X11] :
            ( app(X11,cons(X10,nil)) != sK9
            | ! [X12] :
                ( ~ ssItem(X12)
                | ! [X13] :
                    ( ~ ssList(X13)
                    | ~ leq(X10,X12)
                    | app(cons(X12,nil),X13) != sK7 ) )
            | ~ ssList(X11) )
        | ~ ssItem(X10) )
    & totalorderedP(sK7)
    & ssList(sK10)
    & ! [X14] :
        ( ! [X15] :
            ( ~ ssList(X15)
            | ! [X16] :
                ( ~ ssList(X16)
                | ( memberP(X15,sK11(X14,X15,X16))
                  & memberP(X16,sK11(X14,X15,X16))
                  & leq(X14,sK11(X14,X15,X16))
                  & ~ leq(sK11(X14,X15,X16),X14)
                  & ssItem(sK11(X14,X15,X16)) )
                | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
        | ~ ssItem(X14) )
    & ssList(sK8)
    & ( nil = sK8
      | nil != sK7 )
    & sK5 = sK7
    & sK6 = sK8 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f149,f156,f155,f154,f153,f152,f151,f150]) ).

fof(f150,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( nil != X0
                    & ? [X4] :
                        ( ssList(X4)
                        & ? [X5] :
                            ( app(app(X4,X2),X5) = X3
                            & ! [X6] :
                                ( ! [X7] :
                                    ( ~ ssList(X7)
                                    | ! [X8] :
                                        ( ! [X9] :
                                            ( app(X9,cons(X8,nil)) != X2
                                            | ~ ssList(X9)
                                            | ~ leq(X8,X6) )
                                        | ~ ssItem(X8) )
                                    | app(cons(X6,nil),X7) != X5 )
                                | ~ ssItem(X6) )
                            & ! [X10] :
                                ( ! [X11] :
                                    ( app(X11,cons(X10,nil)) != X4
                                    | ! [X12] :
                                        ( ~ ssItem(X12)
                                        | ! [X13] :
                                            ( ~ ssList(X13)
                                            | ~ leq(X10,X12)
                                            | app(cons(X12,nil),X13) != X2 ) )
                                    | ~ ssList(X11) )
                                | ~ ssItem(X10) )
                            & totalorderedP(X2)
                            & ssList(X5) ) )
                    & ! [X14] :
                        ( ! [X15] :
                            ( ~ ssList(X15)
                            | ! [X16] :
                                ( ~ ssList(X16)
                                | ? [X17] :
                                    ( memberP(X15,X17)
                                    & memberP(X16,X17)
                                    & leq(X14,X17)
                                    & ~ leq(X17,X14)
                                    & ssItem(X17) )
                                | app(app(X15,cons(X14,nil)),X16) != X0 ) )
                        | ~ ssItem(X14) )
                    & ssList(X3)
                    & ( nil = X3
                      | nil != X2 )
                    & X0 = X2
                    & X1 = X3 ) ) ) )
   => ( ssList(sK5)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( nil != sK5
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( ! [X9] :
                                          ( app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9)
                                          | ~ leq(X8,X6) )
                                      | ~ ssItem(X8) )
                                  | app(cons(X6,nil),X7) != X5 )
                              | ~ ssItem(X6) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( app(X11,cons(X10,nil)) != X4
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | ~ leq(X10,X12)
                                          | app(cons(X12,nil),X13) != X2 ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & totalorderedP(X2)
                          & ssList(X5) ) )
                  & ! [X14] :
                      ( ! [X15] :
                          ( ~ ssList(X15)
                          | ! [X16] :
                              ( ~ ssList(X16)
                              | ? [X17] :
                                  ( memberP(X15,X17)
                                  & memberP(X16,X17)
                                  & leq(X14,X17)
                                  & ~ leq(X17,X14)
                                  & ssItem(X17) )
                              | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
                      | ~ ssItem(X14) )
                  & ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & sK5 = X2
                  & X1 = X3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( nil != sK5
                & ? [X4] :
                    ( ssList(X4)
                    & ? [X5] :
                        ( app(app(X4,X2),X5) = X3
                        & ! [X6] :
                            ( ! [X7] :
                                ( ~ ssList(X7)
                                | ! [X8] :
                                    ( ! [X9] :
                                        ( app(X9,cons(X8,nil)) != X2
                                        | ~ ssList(X9)
                                        | ~ leq(X8,X6) )
                                    | ~ ssItem(X8) )
                                | app(cons(X6,nil),X7) != X5 )
                            | ~ ssItem(X6) )
                        & ! [X10] :
                            ( ! [X11] :
                                ( app(X11,cons(X10,nil)) != X4
                                | ! [X12] :
                                    ( ~ ssItem(X12)
                                    | ! [X13] :
                                        ( ~ ssList(X13)
                                        | ~ leq(X10,X12)
                                        | app(cons(X12,nil),X13) != X2 ) )
                                | ~ ssList(X11) )
                            | ~ ssItem(X10) )
                        & totalorderedP(X2)
                        & ssList(X5) ) )
                & ! [X14] :
                    ( ! [X15] :
                        ( ~ ssList(X15)
                        | ! [X16] :
                            ( ~ ssList(X16)
                            | ? [X17] :
                                ( memberP(X15,X17)
                                & memberP(X16,X17)
                                & leq(X14,X17)
                                & ~ leq(X17,X14)
                                & ssItem(X17) )
                            | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
                    | ~ ssItem(X14) )
                & ssList(X3)
                & ( nil = X3
                  | nil != X2 )
                & sK5 = X2
                & X1 = X3 ) ) )
   => ( ssList(sK6)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( nil != sK5
              & ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( app(app(X4,X2),X5) = X3
                      & ! [X6] :
                          ( ! [X7] :
                              ( ~ ssList(X7)
                              | ! [X8] :
                                  ( ! [X9] :
                                      ( app(X9,cons(X8,nil)) != X2
                                      | ~ ssList(X9)
                                      | ~ leq(X8,X6) )
                                  | ~ ssItem(X8) )
                              | app(cons(X6,nil),X7) != X5 )
                          | ~ ssItem(X6) )
                      & ! [X10] :
                          ( ! [X11] :
                              ( app(X11,cons(X10,nil)) != X4
                              | ! [X12] :
                                  ( ~ ssItem(X12)
                                  | ! [X13] :
                                      ( ~ ssList(X13)
                                      | ~ leq(X10,X12)
                                      | app(cons(X12,nil),X13) != X2 ) )
                              | ~ ssList(X11) )
                          | ~ ssItem(X10) )
                      & totalorderedP(X2)
                      & ssList(X5) ) )
              & ! [X14] :
                  ( ! [X15] :
                      ( ~ ssList(X15)
                      | ! [X16] :
                          ( ~ ssList(X16)
                          | ? [X17] :
                              ( memberP(X15,X17)
                              & memberP(X16,X17)
                              & leq(X14,X17)
                              & ~ leq(X17,X14)
                              & ssItem(X17) )
                          | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
                  | ~ ssItem(X14) )
              & ssList(X3)
              & ( nil = X3
                | nil != X2 )
              & sK5 = X2
              & sK6 = X3 ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( nil != sK5
            & ? [X4] :
                ( ssList(X4)
                & ? [X5] :
                    ( app(app(X4,X2),X5) = X3
                    & ! [X6] :
                        ( ! [X7] :
                            ( ~ ssList(X7)
                            | ! [X8] :
                                ( ! [X9] :
                                    ( app(X9,cons(X8,nil)) != X2
                                    | ~ ssList(X9)
                                    | ~ leq(X8,X6) )
                                | ~ ssItem(X8) )
                            | app(cons(X6,nil),X7) != X5 )
                        | ~ ssItem(X6) )
                    & ! [X10] :
                        ( ! [X11] :
                            ( app(X11,cons(X10,nil)) != X4
                            | ! [X12] :
                                ( ~ ssItem(X12)
                                | ! [X13] :
                                    ( ~ ssList(X13)
                                    | ~ leq(X10,X12)
                                    | app(cons(X12,nil),X13) != X2 ) )
                            | ~ ssList(X11) )
                        | ~ ssItem(X10) )
                    & totalorderedP(X2)
                    & ssList(X5) ) )
            & ! [X14] :
                ( ! [X15] :
                    ( ~ ssList(X15)
                    | ! [X16] :
                        ( ~ ssList(X16)
                        | ? [X17] :
                            ( memberP(X15,X17)
                            & memberP(X16,X17)
                            & leq(X14,X17)
                            & ~ leq(X17,X14)
                            & ssItem(X17) )
                        | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
                | ~ ssItem(X14) )
            & ssList(X3)
            & ( nil = X3
              | nil != X2 )
            & sK5 = X2
            & sK6 = X3 ) )
   => ( ssList(sK7)
      & ? [X3] :
          ( nil != sK5
          & ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( app(app(X4,sK7),X5) = X3
                  & ! [X6] :
                      ( ! [X7] :
                          ( ~ ssList(X7)
                          | ! [X8] :
                              ( ! [X9] :
                                  ( sK7 != app(X9,cons(X8,nil))
                                  | ~ ssList(X9)
                                  | ~ leq(X8,X6) )
                              | ~ ssItem(X8) )
                          | app(cons(X6,nil),X7) != X5 )
                      | ~ ssItem(X6) )
                  & ! [X10] :
                      ( ! [X11] :
                          ( app(X11,cons(X10,nil)) != X4
                          | ! [X12] :
                              ( ~ ssItem(X12)
                              | ! [X13] :
                                  ( ~ ssList(X13)
                                  | ~ leq(X10,X12)
                                  | app(cons(X12,nil),X13) != sK7 ) )
                          | ~ ssList(X11) )
                      | ~ ssItem(X10) )
                  & totalorderedP(sK7)
                  & ssList(X5) ) )
          & ! [X14] :
              ( ! [X15] :
                  ( ~ ssList(X15)
                  | ! [X16] :
                      ( ~ ssList(X16)
                      | ? [X17] :
                          ( memberP(X15,X17)
                          & memberP(X16,X17)
                          & leq(X14,X17)
                          & ~ leq(X17,X14)
                          & ssItem(X17) )
                      | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
              | ~ ssItem(X14) )
          & ssList(X3)
          & ( nil = X3
            | nil != sK7 )
          & sK5 = sK7
          & sK6 = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f153,plain,
    ( ? [X3] :
        ( nil != sK5
        & ? [X4] :
            ( ssList(X4)
            & ? [X5] :
                ( app(app(X4,sK7),X5) = X3
                & ! [X6] :
                    ( ! [X7] :
                        ( ~ ssList(X7)
                        | ! [X8] :
                            ( ! [X9] :
                                ( sK7 != app(X9,cons(X8,nil))
                                | ~ ssList(X9)
                                | ~ leq(X8,X6) )
                            | ~ ssItem(X8) )
                        | app(cons(X6,nil),X7) != X5 )
                    | ~ ssItem(X6) )
                & ! [X10] :
                    ( ! [X11] :
                        ( app(X11,cons(X10,nil)) != X4
                        | ! [X12] :
                            ( ~ ssItem(X12)
                            | ! [X13] :
                                ( ~ ssList(X13)
                                | ~ leq(X10,X12)
                                | app(cons(X12,nil),X13) != sK7 ) )
                        | ~ ssList(X11) )
                    | ~ ssItem(X10) )
                & totalorderedP(sK7)
                & ssList(X5) ) )
        & ! [X14] :
            ( ! [X15] :
                ( ~ ssList(X15)
                | ! [X16] :
                    ( ~ ssList(X16)
                    | ? [X17] :
                        ( memberP(X15,X17)
                        & memberP(X16,X17)
                        & leq(X14,X17)
                        & ~ leq(X17,X14)
                        & ssItem(X17) )
                    | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
            | ~ ssItem(X14) )
        & ssList(X3)
        & ( nil = X3
          | nil != sK7 )
        & sK5 = sK7
        & sK6 = X3 )
   => ( nil != sK5
      & ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( app(app(X4,sK7),X5) = sK8
              & ! [X6] :
                  ( ! [X7] :
                      ( ~ ssList(X7)
                      | ! [X8] :
                          ( ! [X9] :
                              ( sK7 != app(X9,cons(X8,nil))
                              | ~ ssList(X9)
                              | ~ leq(X8,X6) )
                          | ~ ssItem(X8) )
                      | app(cons(X6,nil),X7) != X5 )
                  | ~ ssItem(X6) )
              & ! [X10] :
                  ( ! [X11] :
                      ( app(X11,cons(X10,nil)) != X4
                      | ! [X12] :
                          ( ~ ssItem(X12)
                          | ! [X13] :
                              ( ~ ssList(X13)
                              | ~ leq(X10,X12)
                              | app(cons(X12,nil),X13) != sK7 ) )
                      | ~ ssList(X11) )
                  | ~ ssItem(X10) )
              & totalorderedP(sK7)
              & ssList(X5) ) )
      & ! [X14] :
          ( ! [X15] :
              ( ~ ssList(X15)
              | ! [X16] :
                  ( ~ ssList(X16)
                  | ? [X17] :
                      ( memberP(X15,X17)
                      & memberP(X16,X17)
                      & leq(X14,X17)
                      & ~ leq(X17,X14)
                      & ssItem(X17) )
                  | sK5 != app(app(X15,cons(X14,nil)),X16) ) )
          | ~ ssItem(X14) )
      & ssList(sK8)
      & ( nil = sK8
        | nil != sK7 )
      & sK5 = sK7
      & sK6 = sK8 ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( ? [X4] :
        ( ssList(X4)
        & ? [X5] :
            ( app(app(X4,sK7),X5) = sK8
            & ! [X6] :
                ( ! [X7] :
                    ( ~ ssList(X7)
                    | ! [X8] :
                        ( ! [X9] :
                            ( sK7 != app(X9,cons(X8,nil))
                            | ~ ssList(X9)
                            | ~ leq(X8,X6) )
                        | ~ ssItem(X8) )
                    | app(cons(X6,nil),X7) != X5 )
                | ~ ssItem(X6) )
            & ! [X10] :
                ( ! [X11] :
                    ( app(X11,cons(X10,nil)) != X4
                    | ! [X12] :
                        ( ~ ssItem(X12)
                        | ! [X13] :
                            ( ~ ssList(X13)
                            | ~ leq(X10,X12)
                            | app(cons(X12,nil),X13) != sK7 ) )
                    | ~ ssList(X11) )
                | ~ ssItem(X10) )
            & totalorderedP(sK7)
            & ssList(X5) ) )
   => ( ssList(sK9)
      & ? [X5] :
          ( sK8 = app(app(sK9,sK7),X5)
          & ! [X6] :
              ( ! [X7] :
                  ( ~ ssList(X7)
                  | ! [X8] :
                      ( ! [X9] :
                          ( sK7 != app(X9,cons(X8,nil))
                          | ~ ssList(X9)
                          | ~ leq(X8,X6) )
                      | ~ ssItem(X8) )
                  | app(cons(X6,nil),X7) != X5 )
              | ~ ssItem(X6) )
          & ! [X10] :
              ( ! [X11] :
                  ( app(X11,cons(X10,nil)) != sK9
                  | ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ ssList(X13)
                          | ~ leq(X10,X12)
                          | app(cons(X12,nil),X13) != sK7 ) )
                  | ~ ssList(X11) )
              | ~ ssItem(X10) )
          & totalorderedP(sK7)
          & ssList(X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X5] :
        ( sK8 = app(app(sK9,sK7),X5)
        & ! [X6] :
            ( ! [X7] :
                ( ~ ssList(X7)
                | ! [X8] :
                    ( ! [X9] :
                        ( sK7 != app(X9,cons(X8,nil))
                        | ~ ssList(X9)
                        | ~ leq(X8,X6) )
                    | ~ ssItem(X8) )
                | app(cons(X6,nil),X7) != X5 )
            | ~ ssItem(X6) )
        & ! [X10] :
            ( ! [X11] :
                ( app(X11,cons(X10,nil)) != sK9
                | ! [X12] :
                    ( ~ ssItem(X12)
                    | ! [X13] :
                        ( ~ ssList(X13)
                        | ~ leq(X10,X12)
                        | app(cons(X12,nil),X13) != sK7 ) )
                | ~ ssList(X11) )
            | ~ ssItem(X10) )
        & totalorderedP(sK7)
        & ssList(X5) )
   => ( app(app(sK9,sK7),sK10) = sK8
      & ! [X6] :
          ( ! [X7] :
              ( ~ ssList(X7)
              | ! [X8] :
                  ( ! [X9] :
                      ( sK7 != app(X9,cons(X8,nil))
                      | ~ ssList(X9)
                      | ~ leq(X8,X6) )
                  | ~ ssItem(X8) )
              | app(cons(X6,nil),X7) != sK10 )
          | ~ ssItem(X6) )
      & ! [X10] :
          ( ! [X11] :
              ( app(X11,cons(X10,nil)) != sK9
              | ! [X12] :
                  ( ~ ssItem(X12)
                  | ! [X13] :
                      ( ~ ssList(X13)
                      | ~ leq(X10,X12)
                      | app(cons(X12,nil),X13) != sK7 ) )
              | ~ ssList(X11) )
          | ~ ssItem(X10) )
      & totalorderedP(sK7)
      & ssList(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X14,X15,X16] :
      ( ? [X17] :
          ( memberP(X15,X17)
          & memberP(X16,X17)
          & leq(X14,X17)
          & ~ leq(X17,X14)
          & ssItem(X17) )
     => ( memberP(X15,sK11(X14,X15,X16))
        & memberP(X16,sK11(X14,X15,X16))
        & leq(X14,sK11(X14,X15,X16))
        & ~ leq(sK11(X14,X15,X16),X14)
        & ssItem(sK11(X14,X15,X16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( nil != X0
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ! [X7] :
                                  ( ~ ssList(X7)
                                  | ! [X8] :
                                      ( ! [X9] :
                                          ( app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9)
                                          | ~ leq(X8,X6) )
                                      | ~ ssItem(X8) )
                                  | app(cons(X6,nil),X7) != X5 )
                              | ~ ssItem(X6) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( app(X11,cons(X10,nil)) != X4
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | ~ leq(X10,X12)
                                          | app(cons(X12,nil),X13) != X2 ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & totalorderedP(X2)
                          & ssList(X5) ) )
                  & ! [X14] :
                      ( ! [X15] :
                          ( ~ ssList(X15)
                          | ! [X16] :
                              ( ~ ssList(X16)
                              | ? [X17] :
                                  ( memberP(X15,X17)
                                  & memberP(X16,X17)
                                  & leq(X14,X17)
                                  & ~ leq(X17,X14)
                                  & ssItem(X17) )
                              | app(app(X15,cons(X14,nil)),X16) != X0 ) )
                      | ~ ssItem(X14) )
                  & ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( nil != X0
                  & ? [X8] :
                      ( ssList(X8)
                      & ? [X9] :
                          ( app(app(X8,X2),X9) = X3
                          & ! [X14] :
                              ( ! [X15] :
                                  ( ~ ssList(X15)
                                  | ! [X16] :
                                      ( ! [X17] :
                                          ( app(X17,cons(X16,nil)) != X2
                                          | ~ ssList(X17)
                                          | ~ leq(X16,X14) )
                                      | ~ ssItem(X16) )
                                  | app(cons(X14,nil),X15) != X9 )
                              | ~ ssItem(X14) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( app(X11,cons(X10,nil)) != X8
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ ssList(X13)
                                          | ~ leq(X10,X12)
                                          | app(cons(X12,nil),X13) != X2 ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & totalorderedP(X2)
                          & ssList(X9) ) )
                  & ! [X4] :
                      ( ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | ? [X7] :
                                  ( memberP(X5,X7)
                                  & memberP(X6,X7)
                                  & leq(X4,X7)
                                  & ~ leq(X7,X4)
                                  & ssItem(X7) )
                              | app(app(X5,cons(X4,nil)),X6) != X0 ) )
                      | ~ ssItem(X4) )
                  & ssList(X3)
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ? [X6] :
                                ( ssList(X6)
                                & ! [X7] :
                                    ( ~ memberP(X6,X7)
                                    | leq(X7,X4)
                                    | ~ memberP(X5,X7)
                                    | ~ leq(X4,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X0 )
                            & ssList(X5) ) )
                    | nil = X0
                    | ! [X8] :
                        ( ssList(X8)
                       => ! [X9] :
                            ( ? [X14] :
                                ( ssItem(X14)
                                & ? [X15] :
                                    ( ? [X16] :
                                        ( ssItem(X16)
                                        & ? [X17] :
                                            ( app(X17,cons(X16,nil)) = X2
                                            & ssList(X17)
                                            & leq(X16,X14) ) )
                                    & ssList(X15)
                                    & app(cons(X14,nil),X15) = X9 ) )
                            | ? [X10] :
                                ( ? [X11] :
                                    ( app(X11,cons(X10,nil)) = X8
                                    & ssList(X11)
                                    & ? [X12] :
                                        ( ssItem(X12)
                                        & ? [X13] :
                                            ( ssList(X13)
                                            & leq(X10,X12)
                                            & app(cons(X12,nil),X13) = X2 ) ) )
                                & ssItem(X10) )
                            | ~ ssList(X9)
                            | ~ totalorderedP(X2)
                            | app(app(X8,X2),X9) != X3 ) )
                    | ~ ssList(X3)
                    | ( nil != X3
                      & nil = X2 )
                    | X1 != X3
                    | X0 != X2 ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ssList(X6)
                              & ! [X7] :
                                  ( ~ memberP(X6,X7)
                                  | leq(X7,X4)
                                  | ~ memberP(X5,X7)
                                  | ~ leq(X4,X7)
                                  | ~ ssItem(X7) )
                              & app(app(X5,cons(X4,nil)),X6) = X0 )
                          & ssList(X5) ) )
                  | nil = X0
                  | ! [X8] :
                      ( ssList(X8)
                     => ! [X9] :
                          ( ? [X14] :
                              ( ssItem(X14)
                              & ? [X15] :
                                  ( ? [X16] :
                                      ( ssItem(X16)
                                      & ? [X17] :
                                          ( app(X17,cons(X16,nil)) = X2
                                          & ssList(X17)
                                          & leq(X16,X14) ) )
                                  & ssList(X15)
                                  & app(cons(X14,nil),X15) = X9 ) )
                          | ? [X10] :
                              ( ? [X11] :
                                  ( app(X11,cons(X10,nil)) = X8
                                  & ssList(X11)
                                  & ? [X12] :
                                      ( ssItem(X12)
                                      & ? [X13] :
                                          ( ssList(X13)
                                          & leq(X10,X12)
                                          & app(cons(X12,nil),X13) = X2 ) ) )
                              & ssItem(X10) )
                          | ~ ssList(X9)
                          | ~ totalorderedP(X2)
                          | app(app(X8,X2),X9) != X3 ) )
                  | ~ ssList(X3)
                  | ( nil != X3
                    & nil = X2 )
                  | X1 != X3
                  | X0 != X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f501,plain,
    ( memberP(nil,sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ ssList(sK7)
    | nil = sK7
    | ~ ssList(cons(sK3(sK7),nil))
    | ~ spl19_2 ),
    inference(equality_resolution,[],[f449]) ).

fof(f449,plain,
    ( ! [X0] :
        ( sK7 != X0
        | ~ ssList(X0)
        | ~ ssList(cons(sK3(X0),nil))
        | nil = X0
        | memberP(nil,sK11(sK3(X0),nil,sK2(X0))) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f448,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ssItem(sK3(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ( ssList(sK2(X0))
        & cons(sK3(X0),sK2(X0)) = X0
        & ssItem(sK3(X0)) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f111,f143,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
     => ( ssList(sK2(X0))
        & ? [X2] :
            ( cons(X2,sK2(X0)) = X0
            & ssItem(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK2(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK3(X0),sK2(X0)) = X0
        & ssItem(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) ) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f448,plain,
    ( ! [X0] :
        ( memberP(nil,sK11(sK3(X0),nil,sK2(X0)))
        | ~ ssItem(sK3(X0))
        | sK7 != X0
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(cons(sK3(X0),nil)) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f446,f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ssList(sK2(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f446,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK3(X0),nil))
        | ~ ssList(sK2(X0))
        | ~ ssItem(sK3(X0))
        | memberP(nil,sK11(sK3(X0),nil,sK2(X0)))
        | sK7 != X0
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl19_2 ),
    inference(superposition,[],[f426,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( cons(sK3(X0),sK2(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f426,plain,
    ( ! [X8,X7] :
        ( sK7 != cons(X7,X8)
        | ~ ssList(cons(X7,nil))
        | memberP(nil,sK11(X7,nil,X8))
        | ~ ssList(X8)
        | ~ ssItem(X7) )
    | ~ spl19_2 ),
    inference(duplicate_literal_removal,[],[f405]) ).

fof(f405,plain,
    ( ! [X8,X7] :
        ( ~ ssItem(X7)
        | ~ ssList(X8)
        | ~ ssItem(X7)
        | ~ ssList(cons(X7,nil))
        | ~ ssList(X8)
        | sK7 != cons(X7,X8)
        | memberP(nil,sK11(X7,nil,X8)) )
    | ~ spl19_2 ),
    inference(superposition,[],[f300,f229]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f300,plain,
    ( ! [X10,X9] :
        ( app(cons(X9,nil),X10) != sK7
        | ~ ssItem(X9)
        | ~ ssList(cons(X9,nil))
        | ~ ssList(X10)
        | memberP(nil,sK11(X9,nil,X10)) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f297,f273]) ).

fof(f273,plain,
    ( ssList(nil)
    | ~ spl19_2 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl19_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).

fof(f297,plain,
    ! [X10,X9] :
      ( ~ ssList(nil)
      | app(cons(X9,nil),X10) != sK7
      | ~ ssList(cons(X9,nil))
      | ~ ssItem(X9)
      | memberP(nil,sK11(X9,nil,X10))
      | ~ ssList(X10) ),
    inference(superposition,[],[f254,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f254,plain,
    ! [X16,X14,X15] :
      ( sK7 != app(app(X15,cons(X14,nil)),X16)
      | memberP(X15,sK11(X14,X15,X16))
      | ~ ssList(X16)
      | ~ ssItem(X14)
      | ~ ssList(X15) ),
    inference(definition_unfolding,[],[f208,f201]) ).

fof(f201,plain,
    sK5 = sK7,
    inference(cnf_transformation,[],[f157]) ).

fof(f208,plain,
    ! [X16,X14,X15] :
      ( ~ ssList(X15)
      | ~ ssList(X16)
      | memberP(X15,sK11(X14,X15,X16))
      | sK5 != app(app(X15,cons(X14,nil)),X16)
      | ~ ssItem(X14) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f491,plain,
    ( ~ spl19_2
    | spl19_5
    | spl19_9 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | ~ spl19_2
    | spl19_5
    | spl19_9 ),
    inference(subsumption_resolution,[],[f489,f216]) ).

fof(f489,plain,
    ( ~ ssList(sK7)
    | ~ spl19_2
    | spl19_5
    | spl19_9 ),
    inference(subsumption_resolution,[],[f487,f288]) ).

fof(f487,plain,
    ( nil = sK7
    | ~ ssList(sK7)
    | ~ spl19_2
    | spl19_9 ),
    inference(resolution,[],[f484,f183]) ).

fof(f484,plain,
    ( ~ ssItem(sK3(sK7))
    | ~ spl19_2
    | spl19_9 ),
    inference(subsumption_resolution,[],[f482,f273]) ).

fof(f482,plain,
    ( ~ ssItem(sK3(sK7))
    | ~ ssList(nil)
    | spl19_9 ),
    inference(resolution,[],[f480,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f480,plain,
    ( ~ ssList(cons(sK3(sK7),nil))
    | spl19_9 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f481,plain,
    ( spl19_8
    | ~ spl19_9
    | ~ spl19_2
    | spl19_5 ),
    inference(avatar_split_clause,[],[f472,f286,f272,f478,f474]) ).

fof(f472,plain,
    ( ~ ssList(cons(sK3(sK7),nil))
    | ssItem(sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ spl19_2
    | spl19_5 ),
    inference(subsumption_resolution,[],[f471,f216]) ).

fof(f471,plain,
    ( ssItem(sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ ssList(cons(sK3(sK7),nil))
    | ~ ssList(sK7)
    | ~ spl19_2
    | spl19_5 ),
    inference(subsumption_resolution,[],[f470,f288]) ).

fof(f470,plain,
    ( ~ ssList(cons(sK3(sK7),nil))
    | nil = sK7
    | ~ ssList(sK7)
    | ssItem(sK11(sK3(sK7),nil,sK2(sK7)))
    | ~ spl19_2 ),
    inference(equality_resolution,[],[f443]) ).

fof(f443,plain,
    ( ! [X0] :
        ( sK7 != X0
        | nil = X0
        | ~ ssList(cons(sK3(X0),nil))
        | ~ ssList(X0)
        | ssItem(sK11(sK3(X0),nil,sK2(X0))) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f442,f185]) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK3(X0),nil))
        | ssItem(sK11(sK3(X0),nil,sK2(X0)))
        | ~ ssList(sK2(X0))
        | sK7 != X0
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f440,f183]) ).

fof(f440,plain,
    ( ! [X0] :
        ( nil = X0
        | sK7 != X0
        | ~ ssList(cons(sK3(X0),nil))
        | ssItem(sK11(sK3(X0),nil,sK2(X0)))
        | ~ ssList(X0)
        | ~ ssItem(sK3(X0))
        | ~ ssList(sK2(X0)) )
    | ~ spl19_2 ),
    inference(superposition,[],[f425,f184]) ).

fof(f425,plain,
    ( ! [X14,X13] :
        ( sK7 != cons(X13,X14)
        | ssItem(sK11(X13,nil,X14))
        | ~ ssList(cons(X13,nil))
        | ~ ssList(X14)
        | ~ ssItem(X13) )
    | ~ spl19_2 ),
    inference(duplicate_literal_removal,[],[f408]) ).

fof(f408,plain,
    ( ! [X14,X13] :
        ( ~ ssList(X14)
        | ~ ssList(X14)
        | ssItem(sK11(X13,nil,X14))
        | ~ ssItem(X13)
        | ~ ssItem(X13)
        | ~ ssList(cons(X13,nil))
        | sK7 != cons(X13,X14) )
    | ~ spl19_2 ),
    inference(superposition,[],[f303,f229]) ).

fof(f303,plain,
    ( ! [X11,X12] :
        ( sK7 != app(cons(X11,nil),X12)
        | ~ ssItem(X11)
        | ssItem(sK11(X11,nil,X12))
        | ~ ssList(X12)
        | ~ ssList(cons(X11,nil)) )
    | ~ spl19_2 ),
    inference(subsumption_resolution,[],[f298,f273]) ).

fof(f298,plain,
    ! [X11,X12] :
      ( ~ ssList(cons(X11,nil))
      | sK7 != app(cons(X11,nil),X12)
      | ssItem(sK11(X11,nil,X12))
      | ~ ssList(X12)
      | ~ ssList(nil)
      | ~ ssItem(X11) ),
    inference(superposition,[],[f258,f195]) ).

fof(f258,plain,
    ! [X16,X14,X15] :
      ( sK7 != app(app(X15,cons(X14,nil)),X16)
      | ~ ssList(X15)
      | ssItem(sK11(X14,X15,X16))
      | ~ ssList(X16)
      | ~ ssItem(X14) ),
    inference(definition_unfolding,[],[f204,f201]) ).

fof(f204,plain,
    ! [X16,X14,X15] :
      ( ~ ssList(X15)
      | ~ ssList(X16)
      | ssItem(sK11(X14,X15,X16))
      | sK5 != app(app(X15,cons(X14,nil)),X16)
      | ~ ssItem(X14) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f291,plain,
    spl19_2,
    inference(avatar_split_clause,[],[f189,f272]) ).

fof(f189,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f290,plain,
    ~ spl19_5,
    inference(avatar_split_clause,[],[f253,f286]) ).

fof(f253,plain,
    nil != sK7,
    inference(definition_unfolding,[],[f215,f201]) ).

fof(f215,plain,
    nil != sK5,
    inference(cnf_transformation,[],[f157]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC227+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:34:05 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.51  % (31589)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)
% 0.18/0.51  % (31584)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (31590)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)
% 0.18/0.52  % (31607)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)
% 0.18/0.52  % (31600)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (31600)Instruction limit reached!
% 0.18/0.52  % (31600)------------------------------
% 0.18/0.52  % (31600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (31600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (31600)Termination reason: Unknown
% 0.18/0.52  % (31600)Termination phase: Preprocessing 3
% 0.18/0.52  
% 0.18/0.52  % (31600)Memory used [KB]: 1791
% 0.18/0.53  % (31584)Instruction limit reached!
% 0.18/0.53  % (31584)------------------------------
% 0.18/0.53  % (31584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (31599)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)
% 0.18/0.53  % (31600)Time elapsed: 0.005 s
% 0.18/0.53  % (31600)Instructions burned: 7 (million)
% 0.18/0.53  % (31600)------------------------------
% 0.18/0.53  % (31600)------------------------------
% 0.18/0.53  % (31604)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)
% 0.18/0.53  % (31608)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.53  % (31586)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)
% 0.18/0.54  % (31599)Instruction limit reached!
% 0.18/0.54  % (31599)------------------------------
% 0.18/0.54  % (31599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (31599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (31599)Termination reason: Unknown
% 0.18/0.54  % (31599)Termination phase: Naming
% 0.18/0.54  
% 0.18/0.54  % (31599)Memory used [KB]: 1663
% 0.18/0.54  % (31599)Time elapsed: 0.004 s
% 0.18/0.54  % (31599)Instructions burned: 3 (million)
% 0.18/0.54  % (31599)------------------------------
% 0.18/0.54  % (31599)------------------------------
% 0.18/0.54  % (31604)Instruction limit reached!
% 0.18/0.54  % (31604)------------------------------
% 0.18/0.54  % (31604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (31612)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)
% 0.18/0.54  % (31585)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)
% 0.18/0.54  % (31584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (31584)Termination reason: Unknown
% 0.18/0.54  % (31584)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (31584)Memory used [KB]: 6524
% 0.18/0.54  % (31584)Time elapsed: 0.010 s
% 0.18/0.54  % (31584)Instructions burned: 13 (million)
% 0.18/0.54  % (31584)------------------------------
% 0.18/0.54  % (31584)------------------------------
% 0.18/0.54  % (31589)First to succeed.
% 1.49/0.54  % (31604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54  % (31604)Termination reason: Unknown
% 1.49/0.54  % (31604)Termination phase: Saturation
% 1.49/0.54  
% 1.49/0.54  % (31604)Memory used [KB]: 6396
% 1.49/0.54  % (31604)Time elapsed: 0.128 s
% 1.49/0.54  % (31604)Instructions burned: 12 (million)
% 1.49/0.54  % (31604)------------------------------
% 1.49/0.54  % (31604)------------------------------
% 1.49/0.55  % (31609)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)
% 1.49/0.55  % (31589)Refutation found. Thanks to Tanya!
% 1.49/0.55  % SZS status Theorem for theBenchmark
% 1.49/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.55  % (31589)------------------------------
% 1.49/0.55  % (31589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (31589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (31589)Termination reason: Refutation
% 1.49/0.55  
% 1.49/0.55  % (31589)Memory used [KB]: 6396
% 1.49/0.55  % (31589)Time elapsed: 0.128 s
% 1.49/0.55  % (31589)Instructions burned: 17 (million)
% 1.49/0.55  % (31589)------------------------------
% 1.49/0.55  % (31589)------------------------------
% 1.49/0.55  % (31582)Success in time 0.195 s
%------------------------------------------------------------------------------