TSTP Solution File: SWC225+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC225+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 : n015.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 18:39:43 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   87 (   9 unt;   0 def)
%            Number of atoms       :  779 ( 231 equ)
%            Maximal formula atoms :   64 (   8 avg)
%            Number of connectives : 1113 ( 421   ~; 395   |; 265   &)
%                                         (   4 <=>;  28  =>;   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   :  304 ( 208   !;  96   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f520,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f262,f423,f443,f519]) ).

fof(f519,plain,
    ( ~ spl17_2
    | spl17_3
    | ~ spl17_7
    | ~ spl17_8 ),
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | ~ spl17_2
    | spl17_3
    | ~ spl17_7
    | ~ spl17_8 ),
    inference(subsumption_resolution,[],[f517,f422]) ).

fof(f422,plain,
    ( ssItem(sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ spl17_8 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f420,plain,
    ( spl17_8
  <=> ssItem(sK16(sK7(sK12),nil,sK6(sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).

fof(f517,plain,
    ( ~ ssItem(sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ spl17_2
    | spl17_3
    | ~ spl17_7 ),
    inference(resolution,[],[f516,f224]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f516,plain,
    ( memberP(nil,sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ spl17_2
    | spl17_3
    | ~ spl17_7 ),
    inference(subsumption_resolution,[],[f515,f255]) ).

fof(f255,plain,
    ( nil != sK12
    | spl17_3 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl17_3
  <=> nil = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).

fof(f515,plain,
    ( memberP(nil,sK16(sK7(sK12),nil,sK6(sK12)))
    | nil = sK12
    | ~ spl17_2
    | ~ spl17_7 ),
    inference(subsumption_resolution,[],[f514,f203]) ).

fof(f203,plain,
    ssList(sK12),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( ssList(sK14)
    & equalelemsP(sK12)
    & ssList(sK15)
    & sK13 = app(app(sK14,sK12),sK15)
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( ! [X8] :
                ( app(X8,cons(X6,nil)) != sK12
                | ~ ssList(X8) )
            | sK15 != app(cons(X6,nil),X7)
            | ~ ssList(X7) ) )
    & ! [X9] :
        ( ~ ssItem(X9)
        | ! [X10] :
            ( sK14 != app(X10,cons(X9,nil))
            | ! [X11] :
                ( ~ ssList(X11)
                | app(cons(X9,nil),X11) != sK12 )
            | ~ ssList(X10) ) )
    & nil != sK10
    & sK11 = sK13
    & ! [X12] :
        ( ~ ssItem(X12)
        | ! [X13] :
            ( ~ ssList(X13)
            | ! [X14] :
                ( ~ ssList(X14)
                | sK10 != app(app(X13,cons(X12,nil)),X14)
                | ( ~ leq(sK16(X12,X13,X14),X12)
                  & memberP(X14,sK16(X12,X13,X14))
                  & leq(X12,sK16(X12,X13,X14))
                  & memberP(X13,sK16(X12,X13,X14))
                  & ssItem(sK16(X12,X13,X14)) ) ) ) )
    & ( nil = sK13
      | nil != sK12 )
    & ssList(sK13)
    & sK10 = sK12
    & ssList(sK12)
    & ssList(sK11)
    & ssList(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f154,f161,f160,f159,f158,f157,f156,f155]) ).

fof(f155,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ssList(X4)
                        & ? [X5] :
                            ( equalelemsP(X2)
                            & ssList(X5)
                            & app(app(X4,X2),X5) = X3
                            & ! [X6] :
                                ( ~ ssItem(X6)
                                | ! [X7] :
                                    ( ! [X8] :
                                        ( app(X8,cons(X6,nil)) != X2
                                        | ~ ssList(X8) )
                                    | app(cons(X6,nil),X7) != X5
                                    | ~ ssList(X7) ) )
                            & ! [X9] :
                                ( ~ ssItem(X9)
                                | ! [X10] :
                                    ( app(X10,cons(X9,nil)) != X4
                                    | ! [X11] :
                                        ( ~ ssList(X11)
                                        | app(cons(X9,nil),X11) != X2 )
                                    | ~ ssList(X10) ) ) ) )
                    & nil != X0
                    & X1 = X3
                    & ! [X12] :
                        ( ~ ssItem(X12)
                        | ! [X13] :
                            ( ~ ssList(X13)
                            | ! [X14] :
                                ( ~ ssList(X14)
                                | app(app(X13,cons(X12,nil)),X14) != X0
                                | ? [X15] :
                                    ( ~ leq(X15,X12)
                                    & memberP(X14,X15)
                                    & leq(X12,X15)
                                    & memberP(X13,X15)
                                    & ssItem(X15) ) ) ) )
                    & ( nil = X3
                      | nil != X2 )
                    & ssList(X3)
                    & X0 = X2 )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( equalelemsP(X2)
                          & ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) ) )
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( app(X10,cons(X9,nil)) != X4
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 )
                                  | ~ ssList(X10) ) ) ) )
                  & nil != sK10
                  & X1 = X3
                  & ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ ssList(X13)
                          | ! [X14] :
                              ( ~ ssList(X14)
                              | sK10 != app(app(X13,cons(X12,nil)),X14)
                              | ? [X15] :
                                  ( ~ leq(X15,X12)
                                  & memberP(X14,X15)
                                  & leq(X12,X15)
                                  & memberP(X13,X15)
                                  & ssItem(X15) ) ) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & sK10 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ssList(X4)
                    & ? [X5] :
                        ( equalelemsP(X2)
                        & ssList(X5)
                        & app(app(X4,X2),X5) = X3
                        & ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( ! [X8] :
                                    ( app(X8,cons(X6,nil)) != X2
                                    | ~ ssList(X8) )
                                | app(cons(X6,nil),X7) != X5
                                | ~ ssList(X7) ) )
                        & ! [X9] :
                            ( ~ ssItem(X9)
                            | ! [X10] :
                                ( app(X10,cons(X9,nil)) != X4
                                | ! [X11] :
                                    ( ~ ssList(X11)
                                    | app(cons(X9,nil),X11) != X2 )
                                | ~ ssList(X10) ) ) ) )
                & nil != sK10
                & X1 = X3
                & ! [X12] :
                    ( ~ ssItem(X12)
                    | ! [X13] :
                        ( ~ ssList(X13)
                        | ! [X14] :
                            ( ~ ssList(X14)
                            | sK10 != app(app(X13,cons(X12,nil)),X14)
                            | ? [X15] :
                                ( ~ leq(X15,X12)
                                & memberP(X14,X15)
                                & leq(X12,X15)
                                & memberP(X13,X15)
                                & ssItem(X15) ) ) ) )
                & ( nil = X3
                  | nil != X2 )
                & ssList(X3)
                & sK10 = X2 )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( equalelemsP(X2)
                      & ssList(X5)
                      & app(app(X4,X2),X5) = X3
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ! [X8] :
                                  ( app(X8,cons(X6,nil)) != X2
                                  | ~ ssList(X8) )
                              | app(cons(X6,nil),X7) != X5
                              | ~ ssList(X7) ) )
                      & ! [X9] :
                          ( ~ ssItem(X9)
                          | ! [X10] :
                              ( app(X10,cons(X9,nil)) != X4
                              | ! [X11] :
                                  ( ~ ssList(X11)
                                  | app(cons(X9,nil),X11) != X2 )
                              | ~ ssList(X10) ) ) ) )
              & nil != sK10
              & sK11 = X3
              & ! [X12] :
                  ( ~ ssItem(X12)
                  | ! [X13] :
                      ( ~ ssList(X13)
                      | ! [X14] :
                          ( ~ ssList(X14)
                          | sK10 != app(app(X13,cons(X12,nil)),X14)
                          | ? [X15] :
                              ( ~ leq(X15,X12)
                              & memberP(X14,X15)
                              & leq(X12,X15)
                              & memberP(X13,X15)
                              & ssItem(X15) ) ) ) )
              & ( nil = X3
                | nil != X2 )
              & ssList(X3)
              & sK10 = X2 )
          & ssList(X2) )
      & ssList(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ssList(X4)
                & ? [X5] :
                    ( equalelemsP(X2)
                    & ssList(X5)
                    & app(app(X4,X2),X5) = X3
                    & ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( ! [X8] :
                                ( app(X8,cons(X6,nil)) != X2
                                | ~ ssList(X8) )
                            | app(cons(X6,nil),X7) != X5
                            | ~ ssList(X7) ) )
                    & ! [X9] :
                        ( ~ ssItem(X9)
                        | ! [X10] :
                            ( app(X10,cons(X9,nil)) != X4
                            | ! [X11] :
                                ( ~ ssList(X11)
                                | app(cons(X9,nil),X11) != X2 )
                            | ~ ssList(X10) ) ) ) )
            & nil != sK10
            & sK11 = X3
            & ! [X12] :
                ( ~ ssItem(X12)
                | ! [X13] :
                    ( ~ ssList(X13)
                    | ! [X14] :
                        ( ~ ssList(X14)
                        | sK10 != app(app(X13,cons(X12,nil)),X14)
                        | ? [X15] :
                            ( ~ leq(X15,X12)
                            & memberP(X14,X15)
                            & leq(X12,X15)
                            & memberP(X13,X15)
                            & ssItem(X15) ) ) ) )
            & ( nil = X3
              | nil != X2 )
            & ssList(X3)
            & sK10 = X2 )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( equalelemsP(sK12)
                  & ssList(X5)
                  & app(app(X4,sK12),X5) = X3
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( ! [X8] :
                              ( app(X8,cons(X6,nil)) != sK12
                              | ~ ssList(X8) )
                          | app(cons(X6,nil),X7) != X5
                          | ~ ssList(X7) ) )
                  & ! [X9] :
                      ( ~ ssItem(X9)
                      | ! [X10] :
                          ( app(X10,cons(X9,nil)) != X4
                          | ! [X11] :
                              ( ~ ssList(X11)
                              | app(cons(X9,nil),X11) != sK12 )
                          | ~ ssList(X10) ) ) ) )
          & nil != sK10
          & sK11 = X3
          & ! [X12] :
              ( ~ ssItem(X12)
              | ! [X13] :
                  ( ~ ssList(X13)
                  | ! [X14] :
                      ( ~ ssList(X14)
                      | sK10 != app(app(X13,cons(X12,nil)),X14)
                      | ? [X15] :
                          ( ~ leq(X15,X12)
                          & memberP(X14,X15)
                          & leq(X12,X15)
                          & memberP(X13,X15)
                          & ssItem(X15) ) ) ) )
          & ( nil = X3
            | nil != sK12 )
          & ssList(X3)
          & sK10 = sK12 )
      & ssList(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ssList(X4)
            & ? [X5] :
                ( equalelemsP(sK12)
                & ssList(X5)
                & app(app(X4,sK12),X5) = X3
                & ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( ! [X8] :
                            ( app(X8,cons(X6,nil)) != sK12
                            | ~ ssList(X8) )
                        | app(cons(X6,nil),X7) != X5
                        | ~ ssList(X7) ) )
                & ! [X9] :
                    ( ~ ssItem(X9)
                    | ! [X10] :
                        ( app(X10,cons(X9,nil)) != X4
                        | ! [X11] :
                            ( ~ ssList(X11)
                            | app(cons(X9,nil),X11) != sK12 )
                        | ~ ssList(X10) ) ) ) )
        & nil != sK10
        & sK11 = X3
        & ! [X12] :
            ( ~ ssItem(X12)
            | ! [X13] :
                ( ~ ssList(X13)
                | ! [X14] :
                    ( ~ ssList(X14)
                    | sK10 != app(app(X13,cons(X12,nil)),X14)
                    | ? [X15] :
                        ( ~ leq(X15,X12)
                        & memberP(X14,X15)
                        & leq(X12,X15)
                        & memberP(X13,X15)
                        & ssItem(X15) ) ) ) )
        & ( nil = X3
          | nil != sK12 )
        & ssList(X3)
        & sK10 = sK12 )
   => ( ? [X4] :
          ( ssList(X4)
          & ? [X5] :
              ( equalelemsP(sK12)
              & ssList(X5)
              & app(app(X4,sK12),X5) = sK13
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( ! [X8] :
                          ( app(X8,cons(X6,nil)) != sK12
                          | ~ ssList(X8) )
                      | app(cons(X6,nil),X7) != X5
                      | ~ ssList(X7) ) )
              & ! [X9] :
                  ( ~ ssItem(X9)
                  | ! [X10] :
                      ( app(X10,cons(X9,nil)) != X4
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | app(cons(X9,nil),X11) != sK12 )
                      | ~ ssList(X10) ) ) ) )
      & nil != sK10
      & sK11 = sK13
      & ! [X12] :
          ( ~ ssItem(X12)
          | ! [X13] :
              ( ~ ssList(X13)
              | ! [X14] :
                  ( ~ ssList(X14)
                  | sK10 != app(app(X13,cons(X12,nil)),X14)
                  | ? [X15] :
                      ( ~ leq(X15,X12)
                      & memberP(X14,X15)
                      & leq(X12,X15)
                      & memberP(X13,X15)
                      & ssItem(X15) ) ) ) )
      & ( nil = sK13
        | nil != sK12 )
      & ssList(sK13)
      & sK10 = sK12 ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ( ? [X4] :
        ( ssList(X4)
        & ? [X5] :
            ( equalelemsP(sK12)
            & ssList(X5)
            & app(app(X4,sK12),X5) = sK13
            & ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( ! [X8] :
                        ( app(X8,cons(X6,nil)) != sK12
                        | ~ ssList(X8) )
                    | app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7) ) )
            & ! [X9] :
                ( ~ ssItem(X9)
                | ! [X10] :
                    ( app(X10,cons(X9,nil)) != X4
                    | ! [X11] :
                        ( ~ ssList(X11)
                        | app(cons(X9,nil),X11) != sK12 )
                    | ~ ssList(X10) ) ) ) )
   => ( ssList(sK14)
      & ? [X5] :
          ( equalelemsP(sK12)
          & ssList(X5)
          & app(app(sK14,sK12),X5) = sK13
          & ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( ! [X8] :
                      ( app(X8,cons(X6,nil)) != sK12
                      | ~ ssList(X8) )
                  | app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7) ) )
          & ! [X9] :
              ( ~ ssItem(X9)
              | ! [X10] :
                  ( sK14 != app(X10,cons(X9,nil))
                  | ! [X11] :
                      ( ~ ssList(X11)
                      | app(cons(X9,nil),X11) != sK12 )
                  | ~ ssList(X10) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ( ? [X5] :
        ( equalelemsP(sK12)
        & ssList(X5)
        & app(app(sK14,sK12),X5) = sK13
        & ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( ! [X8] :
                    ( app(X8,cons(X6,nil)) != sK12
                    | ~ ssList(X8) )
                | app(cons(X6,nil),X7) != X5
                | ~ ssList(X7) ) )
        & ! [X9] :
            ( ~ ssItem(X9)
            | ! [X10] :
                ( sK14 != app(X10,cons(X9,nil))
                | ! [X11] :
                    ( ~ ssList(X11)
                    | app(cons(X9,nil),X11) != sK12 )
                | ~ ssList(X10) ) ) )
   => ( equalelemsP(sK12)
      & ssList(sK15)
      & sK13 = app(app(sK14,sK12),sK15)
      & ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( ! [X8] :
                  ( app(X8,cons(X6,nil)) != sK12
                  | ~ ssList(X8) )
              | sK15 != app(cons(X6,nil),X7)
              | ~ ssList(X7) ) )
      & ! [X9] :
          ( ~ ssItem(X9)
          | ! [X10] :
              ( sK14 != app(X10,cons(X9,nil))
              | ! [X11] :
                  ( ~ ssList(X11)
                  | app(cons(X9,nil),X11) != sK12 )
              | ~ ssList(X10) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X12,X13,X14] :
      ( ? [X15] :
          ( ~ leq(X15,X12)
          & memberP(X14,X15)
          & leq(X12,X15)
          & memberP(X13,X15)
          & ssItem(X15) )
     => ( ~ leq(sK16(X12,X13,X14),X12)
        & memberP(X14,sK16(X12,X13,X14))
        & leq(X12,sK16(X12,X13,X14))
        & memberP(X13,sK16(X12,X13,X14))
        & ssItem(sK16(X12,X13,X14)) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( equalelemsP(X2)
                          & ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) ) )
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( app(X10,cons(X9,nil)) != X4
                                  | ! [X11] :
                                      ( ~ ssList(X11)
                                      | app(cons(X9,nil),X11) != X2 )
                                  | ~ ssList(X10) ) ) ) )
                  & nil != X0
                  & X1 = X3
                  & ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ ssList(X13)
                          | ! [X14] :
                              ( ~ ssList(X14)
                              | app(app(X13,cons(X12,nil)),X14) != X0
                              | ? [X15] :
                                  ( ~ leq(X15,X12)
                                  & memberP(X14,X15)
                                  & leq(X12,X15)
                                  & memberP(X13,X15)
                                  & ssItem(X15) ) ) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f112]) ).

fof(f112,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( equalelemsP(X2)
                          & ssList(X5)
                          & app(app(X4,X2),X5) = X3
                          & ! [X9] :
                              ( ~ ssItem(X9)
                              | ! [X10] :
                                  ( ! [X11] :
                                      ( app(X11,cons(X9,nil)) != X2
                                      | ~ ssList(X11) )
                                  | app(cons(X9,nil),X10) != X5
                                  | ~ ssList(X10) ) )
                          & ! [X6] :
                              ( ~ ssItem(X6)
                              | ! [X7] :
                                  ( app(X7,cons(X6,nil)) != X4
                                  | ! [X8] :
                                      ( ~ ssList(X8)
                                      | app(cons(X6,nil),X8) != X2 )
                                  | ~ ssList(X7) ) ) ) )
                  & nil != X0
                  & X1 = X3
                  & ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ ssList(X13)
                          | ! [X14] :
                              ( ~ ssList(X14)
                              | app(app(X13,cons(X12,nil)),X14) != X0
                              | ? [X15] :
                                  ( ~ leq(X15,X12)
                                  & memberP(X14,X15)
                                  & leq(X12,X15)
                                  & memberP(X13,X15)
                                  & ssItem(X15) ) ) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3)
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( X1 != X3
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ? [X9] :
                                ( ? [X10] :
                                    ( ? [X11] :
                                        ( ssList(X11)
                                        & app(X11,cons(X9,nil)) = X2 )
                                    & ssList(X10)
                                    & app(cons(X9,nil),X10) = X5 )
                                & ssItem(X9) )
                            | ? [X6] :
                                ( ssItem(X6)
                                & ? [X7] :
                                    ( ssList(X7)
                                    & app(X7,cons(X6,nil)) = X4
                                    & ? [X8] :
                                        ( app(cons(X6,nil),X8) = X2
                                        & ssList(X8) ) ) )
                            | app(app(X4,X2),X5) != X3
                            | ~ ssList(X5)
                            | ~ equalelemsP(X2) ) )
                    | nil = X0
                    | ~ ssList(X3)
                    | ? [X12] :
                        ( ? [X13] :
                            ( ssList(X13)
                            & ? [X14] :
                                ( ssList(X14)
                                & ! [X15] :
                                    ( ~ memberP(X13,X15)
                                    | ~ memberP(X14,X15)
                                    | ~ ssItem(X15)
                                    | leq(X15,X12)
                                    | ~ leq(X12,X15) )
                                & app(app(X13,cons(X12,nil)),X14) = X0 ) )
                        & ssItem(X12) )
                    | ( nil = X2
                      & nil != X3 )
                    | X0 != X2 ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( nil = X2
                    & nil != X3 )
                  | nil = X0
                  | ~ ssList(X3)
                  | ! [X8] :
                      ( ssList(X8)
                     => ! [X9] :
                          ( ~ equalelemsP(X2)
                          | ~ ssList(X9)
                          | app(app(X8,X2),X9) != X3
                          | ? [X10] :
                              ( ? [X11] :
                                  ( ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X10,nil),X12) = X2 )
                                  & ssList(X11)
                                  & app(X11,cons(X10,nil)) = X8 )
                              & ssItem(X10) )
                          | ? [X13] :
                              ( ssItem(X13)
                              & ? [X14] :
                                  ( ? [X15] :
                                      ( ssList(X15)
                                      & app(X15,cons(X13,nil)) = X2 )
                                  & ssList(X14)
                                  & app(cons(X13,nil),X14) = X9 ) ) ) )
                  | X1 != X3
                  | X0 != X2
                  | ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( app(app(X5,cons(X4,nil)),X6) = X0
                              & ssList(X6)
                              & ! [X7] :
                                  ( ~ ssItem(X7)
                                  | ~ memberP(X6,X7)
                                  | leq(X7,X4)
                                  | ~ memberP(X5,X7)
                                  | ~ leq(X4,X7) ) )
                          & ssList(X5) )
                      & ssItem(X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f514,plain,
    ( memberP(nil,sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ ssList(sK12)
    | nil = sK12
    | ~ spl17_2
    | ~ spl17_7 ),
    inference(subsumption_resolution,[],[f513,f417]) ).

fof(f417,plain,
    ( ssList(cons(sK7(sK12),nil))
    | ~ spl17_7 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f416,plain,
    ( spl17_7
  <=> ssList(cons(sK7(sK12),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).

fof(f513,plain,
    ( ~ ssList(cons(sK7(sK12),nil))
    | memberP(nil,sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ ssList(sK12)
    | nil = sK12
    | ~ spl17_2 ),
    inference(equality_resolution,[],[f409]) ).

fof(f409,plain,
    ( ! [X0] :
        ( sK12 != X0
        | ~ ssList(X0)
        | ~ ssList(cons(sK7(X0),nil))
        | memberP(nil,sK16(sK7(X0),nil,sK6(X0)))
        | nil = X0 )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f408,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( ssList(sK6(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0))
        & ssList(sK6(X0)) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f118,f143,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK6(X0)) = X0
            & ssItem(X2) )
        & ssList(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK6(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | ~ ssList(X0)
      | nil = X0 ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
        | ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f408,plain,
    ( ! [X0] :
        ( ~ ssList(sK6(X0))
        | ~ ssList(cons(sK7(X0),nil))
        | nil = X0
        | memberP(nil,sK16(sK7(X0),nil,sK6(X0)))
        | ~ ssList(X0)
        | sK12 != X0 )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f407,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ssItem(sK7(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f407,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssItem(sK7(X0))
        | memberP(nil,sK16(sK7(X0),nil,sK6(X0)))
        | ~ ssList(sK6(X0))
        | ~ ssList(cons(sK7(X0),nil))
        | ~ ssList(X0)
        | sK12 != X0 )
    | ~ spl17_2 ),
    inference(superposition,[],[f381,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( cons(sK7(X0),sK6(X0)) = X0
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f381,plain,
    ( ! [X10,X9] :
        ( sK12 != cons(X9,X10)
        | ~ ssList(X10)
        | ~ ssItem(X9)
        | memberP(nil,sK16(X9,nil,X10))
        | ~ ssList(cons(X9,nil)) )
    | ~ spl17_2 ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f358,plain,
    ( ! [X10,X9] :
        ( ~ ssItem(X9)
        | memberP(nil,sK16(X9,nil,X10))
        | sK12 != cons(X9,X10)
        | ~ ssItem(X9)
        | ~ ssList(X10)
        | ~ ssList(X10)
        | ~ ssList(cons(X9,nil)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f302,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f302,plain,
    ( ! [X8,X9] :
        ( sK12 != app(cons(X8,nil),X9)
        | ~ ssList(cons(X8,nil))
        | ~ ssList(X9)
        | ~ ssItem(X8)
        | memberP(nil,sK16(X8,nil,X9)) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f279,f249]) ).

fof(f249,plain,
    ( ssList(nil)
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl17_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).

fof(f279,plain,
    ! [X8,X9] :
      ( ~ ssItem(X8)
      | ~ ssList(nil)
      | sK12 != app(cons(X8,nil),X9)
      | ~ ssList(X9)
      | ~ ssList(cons(X8,nil))
      | memberP(nil,sK16(X8,nil,X9)) ),
    inference(superposition,[],[f232,f222]) ).

fof(f222,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,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/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f232,plain,
    ! [X14,X12,X13] :
      ( app(app(X13,cons(X12,nil)),X14) != sK12
      | ~ ssItem(X12)
      | ~ ssList(X14)
      | ~ ssList(X13)
      | memberP(X13,sK16(X12,X13,X14)) ),
    inference(definition_unfolding,[],[f208,f204]) ).

fof(f204,plain,
    sK10 = sK12,
    inference(cnf_transformation,[],[f162]) ).

fof(f208,plain,
    ! [X14,X12,X13] :
      ( ~ ssItem(X12)
      | ~ ssList(X13)
      | ~ ssList(X14)
      | sK10 != app(app(X13,cons(X12,nil)),X14)
      | memberP(X13,sK16(X12,X13,X14)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f443,plain,
    ( ~ spl17_2
    | spl17_3
    | spl17_7 ),
    inference(avatar_contradiction_clause,[],[f442]) ).

fof(f442,plain,
    ( $false
    | ~ spl17_2
    | spl17_3
    | spl17_7 ),
    inference(subsumption_resolution,[],[f441,f255]) ).

fof(f441,plain,
    ( nil = sK12
    | ~ spl17_2
    | spl17_7 ),
    inference(subsumption_resolution,[],[f440,f203]) ).

fof(f440,plain,
    ( ~ ssList(sK12)
    | nil = sK12
    | ~ spl17_2
    | spl17_7 ),
    inference(resolution,[],[f425,f183]) ).

fof(f425,plain,
    ( ~ ssItem(sK7(sK12))
    | ~ spl17_2
    | spl17_7 ),
    inference(subsumption_resolution,[],[f424,f249]) ).

fof(f424,plain,
    ( ~ ssItem(sK7(sK12))
    | ~ ssList(nil)
    | spl17_7 ),
    inference(resolution,[],[f418,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f418,plain,
    ( ~ ssList(cons(sK7(sK12),nil))
    | spl17_7 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f423,plain,
    ( ~ spl17_7
    | spl17_8
    | ~ spl17_2
    | spl17_3 ),
    inference(avatar_split_clause,[],[f414,f253,f248,f420,f416]) ).

fof(f414,plain,
    ( ssItem(sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ ssList(cons(sK7(sK12),nil))
    | ~ spl17_2
    | spl17_3 ),
    inference(subsumption_resolution,[],[f413,f203]) ).

fof(f413,plain,
    ( ssItem(sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ ssList(cons(sK7(sK12),nil))
    | ~ ssList(sK12)
    | ~ spl17_2
    | spl17_3 ),
    inference(subsumption_resolution,[],[f412,f255]) ).

fof(f412,plain,
    ( nil = sK12
    | ssItem(sK16(sK7(sK12),nil,sK6(sK12)))
    | ~ ssList(cons(sK7(sK12),nil))
    | ~ ssList(sK12)
    | ~ spl17_2 ),
    inference(equality_resolution,[],[f397]) ).

fof(f397,plain,
    ( ! [X0] :
        ( sK12 != X0
        | ~ ssList(X0)
        | nil = X0
        | ssItem(sK16(sK7(X0),nil,sK6(X0)))
        | ~ ssList(cons(sK7(X0),nil)) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f396,f183]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK7(X0),nil))
        | sK12 != X0
        | nil = X0
        | ssItem(sK16(sK7(X0),nil,sK6(X0)))
        | ~ ssList(X0)
        | ~ ssItem(sK7(X0)) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f395,f182]) ).

fof(f395,plain,
    ( ! [X0] :
        ( ssItem(sK16(sK7(X0),nil,sK6(X0)))
        | ~ ssList(sK6(X0))
        | ~ ssList(X0)
        | ~ ssList(cons(sK7(X0),nil))
        | nil = X0
        | sK12 != X0
        | ~ ssItem(sK7(X0)) )
    | ~ spl17_2 ),
    inference(superposition,[],[f385,f184]) ).

fof(f385,plain,
    ( ! [X14,X13] :
        ( cons(X13,X14) != sK12
        | ~ ssList(X14)
        | ~ ssList(cons(X13,nil))
        | ~ ssItem(X13)
        | ssItem(sK16(X13,nil,X14)) )
    | ~ spl17_2 ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f360,plain,
    ( ! [X14,X13] :
        ( ~ ssList(cons(X13,nil))
        | cons(X13,X14) != sK12
        | ~ ssList(X14)
        | ~ ssList(X14)
        | ssItem(sK16(X13,nil,X14))
        | ~ ssItem(X13)
        | ~ ssItem(X13) )
    | ~ spl17_2 ),
    inference(superposition,[],[f304,f185]) ).

fof(f304,plain,
    ( ! [X10,X11] :
        ( app(cons(X10,nil),X11) != sK12
        | ~ ssItem(X10)
        | ssItem(sK16(X10,nil,X11))
        | ~ ssList(cons(X10,nil))
        | ~ ssList(X11) )
    | ~ spl17_2 ),
    inference(subsumption_resolution,[],[f280,f249]) ).

fof(f280,plain,
    ! [X10,X11] :
      ( ssItem(sK16(X10,nil,X11))
      | ~ ssList(nil)
      | ~ ssList(cons(X10,nil))
      | ~ ssItem(X10)
      | app(cons(X10,nil),X11) != sK12
      | ~ ssList(X11) ),
    inference(superposition,[],[f233,f222]) ).

fof(f233,plain,
    ! [X14,X12,X13] :
      ( app(app(X13,cons(X12,nil)),X14) != sK12
      | ssItem(sK16(X12,X13,X14))
      | ~ ssList(X14)
      | ~ ssItem(X12)
      | ~ ssList(X13) ),
    inference(definition_unfolding,[],[f207,f204]) ).

fof(f207,plain,
    ! [X14,X12,X13] :
      ( ~ ssItem(X12)
      | ~ ssList(X13)
      | ~ ssList(X14)
      | sK10 != app(app(X13,cons(X12,nil)),X14)
      | ssItem(sK16(X12,X13,X14)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f262,plain,
    spl17_2,
    inference(avatar_split_clause,[],[f220,f248]) ).

fof(f220,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f261,plain,
    ~ spl17_3,
    inference(avatar_split_clause,[],[f228,f253]) ).

fof(f228,plain,
    nil != sK12,
    inference(definition_unfolding,[],[f213,f204]) ).

fof(f213,plain,
    nil != sK10,
    inference(cnf_transformation,[],[f162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC225+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:48:06 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (11116)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.50  % (11129)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)
% 0.21/0.51  % (11121)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)
% 0.21/0.51  % (11121)Instruction limit reached!
% 0.21/0.51  % (11121)------------------------------
% 0.21/0.51  % (11121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (11121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (11121)Termination reason: Unknown
% 0.21/0.51  % (11121)Termination phase: Naming
% 0.21/0.51  
% 0.21/0.51  % (11121)Memory used [KB]: 1535
% 0.21/0.51  % (11121)Time elapsed: 0.005 s
% 0.21/0.51  % (11121)Instructions burned: 3 (million)
% 0.21/0.51  % (11121)------------------------------
% 0.21/0.51  % (11121)------------------------------
% 0.21/0.51  % (11125)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (11113)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)
% 0.21/0.52  % (11133)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (11108)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)
% 0.21/0.53  % (11125)Instruction limit reached!
% 0.21/0.53  % (11125)------------------------------
% 0.21/0.53  % (11125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (11125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (11125)Termination reason: Unknown
% 0.21/0.53  % (11125)Termination phase: Preprocessing 2
% 0.21/0.53  
% 0.21/0.53  % (11125)Memory used [KB]: 1535
% 0.21/0.53  % (11125)Time elapsed: 0.004 s
% 0.21/0.53  % (11125)Instructions burned: 2 (million)
% 0.21/0.53  % (11125)------------------------------
% 0.21/0.53  % (11125)------------------------------
% 0.21/0.53  % (11131)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (11109)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)
% 0.21/0.53  % (11111)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53  % (11109)Instruction limit reached!
% 0.21/0.53  % (11109)------------------------------
% 0.21/0.53  % (11109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (11109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (11109)Termination reason: Unknown
% 0.21/0.53  % (11109)Termination phase: Preprocessing 3
% 0.21/0.53  
% 0.21/0.53  % (11109)Memory used [KB]: 1663
% 0.21/0.53  % (11109)Time elapsed: 0.003 s
% 0.21/0.53  % (11109)Instructions burned: 3 (million)
% 0.21/0.53  % (11109)------------------------------
% 0.21/0.53  % (11109)------------------------------
% 0.21/0.53  % (11120)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (11110)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)
% 0.21/0.53  % (11107)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54  % (11117)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54  % (11122)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)
% 0.21/0.54  % (11135)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54  % (11115)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54  % (11123)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (11126)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)
% 0.21/0.54  % (11113)First to succeed.
% 0.21/0.54  % (11124)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54  % (11127)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54  % (11114)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)
% 0.21/0.55  % (11118)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (11113)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.55  % (11113)------------------------------
% 1.54/0.55  % (11113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (11113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (11113)Termination reason: Refutation
% 1.54/0.55  
% 1.54/0.55  % (11113)Memory used [KB]: 6396
% 1.54/0.55  % (11113)Time elapsed: 0.094 s
% 1.54/0.55  % (11113)Instructions burned: 18 (million)
% 1.54/0.55  % (11113)------------------------------
% 1.54/0.55  % (11113)------------------------------
% 1.54/0.55  % (11106)Success in time 0.192 s
%------------------------------------------------------------------------------