TSTP Solution File: SWC176+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC176+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 : n003.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 18:39:21 EDT 2022

% Result   : Theorem 3.12s 0.85s
% Output   : Refutation 3.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   98 (  17 unt;   0 def)
%            Number of atoms       :  841 ( 203 equ)
%            Maximal formula atoms :   64 (   8 avg)
%            Number of connectives : 1171 ( 428   ~; 371   |; 316   &)
%                                         (   8 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-2 aty)
%            Number of variables   :  385 ( 230   !; 155   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1566,plain,
    $false,
    inference(avatar_sat_refutation,[],[f448,f477,f514,f1565]) ).

fof(f1565,plain,
    ~ spl20_21,
    inference(avatar_contradiction_clause,[],[f1564]) ).

fof(f1564,plain,
    ( $false
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1552,f227]) ).

fof(f227,plain,
    ssItem(sK5),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & sK4 = sK2
    & ssItem(sK5)
    & ssItem(sK6)
    & ssList(sK7)
    & sK1 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
    & ssList(sK8)
    & ~ neq(sK5,sK6)
    & ssList(sK9)
    & ! [X10] :
        ( ! [X11] :
            ( app(cons(X10,nil),X11) != sK10
            | ! [X12] :
                ( ~ ssItem(X12)
                | ! [X13] :
                    ( ~ lt(X12,X10)
                    | app(X13,cons(X12,nil)) != sK3
                    | ~ ssList(X13) ) )
            | ~ ssList(X11) )
        | ~ ssItem(X10) )
    & sK4 = app(app(sK9,sK3),sK10)
    & ! [X14] :
        ( ! [X15] :
            ( ! [X16] :
                ( ! [X17] :
                    ( ~ lt(X14,X16)
                    | sK3 != app(cons(X16,nil),X17)
                    | ~ ssList(X17) )
                | ~ ssItem(X16) )
            | ~ ssList(X15)
            | sK9 != app(X15,cons(X14,nil)) )
        | ~ ssItem(X14) )
    & ssList(sK10)
    & strictorderedP(sK3)
    & ( nil = sK4
      | nil != sK3 )
    & sK3 = sK1
    & ssList(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f155,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156]) ).

fof(f156,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( X1 = X3
                    & ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssItem(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & ? [X7] :
                                    ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
                                    & ssList(X7) ) )
                            & ~ neq(X4,X5) ) )
                    & ? [X8] :
                        ( ssList(X8)
                        & ? [X9] :
                            ( ! [X10] :
                                ( ! [X11] :
                                    ( app(cons(X10,nil),X11) != X9
                                    | ! [X12] :
                                        ( ~ ssItem(X12)
                                        | ! [X13] :
                                            ( ~ lt(X12,X10)
                                            | app(X13,cons(X12,nil)) != X2
                                            | ~ ssList(X13) ) )
                                    | ~ ssList(X11) )
                                | ~ ssItem(X10) )
                            & app(app(X8,X2),X9) = X3
                            & ! [X14] :
                                ( ! [X15] :
                                    ( ! [X16] :
                                        ( ! [X17] :
                                            ( ~ lt(X14,X16)
                                            | app(cons(X16,nil),X17) != X2
                                            | ~ ssList(X17) )
                                        | ~ ssItem(X16) )
                                    | ~ ssList(X15)
                                    | app(X15,cons(X14,nil)) != X8 )
                                | ~ ssItem(X14) )
                            & ssList(X9)
                            & strictorderedP(X2) ) )
                    & ( nil = X3
                      | nil != X2 )
                    & X0 = X2
                    & ssList(X3) ) ) ) )
   => ( ssList(sK1)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssItem(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                                  & ssList(X7) ) )
                          & ~ neq(X4,X5) ) )
                  & ? [X8] :
                      ( ssList(X8)
                      & ? [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( app(cons(X10,nil),X11) != X9
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ lt(X12,X10)
                                          | app(X13,cons(X12,nil)) != X2
                                          | ~ ssList(X13) ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & app(app(X8,X2),X9) = X3
                          & ! [X14] :
                              ( ! [X15] :
                                  ( ! [X16] :
                                      ( ! [X17] :
                                          ( ~ lt(X14,X16)
                                          | app(cons(X16,nil),X17) != X2
                                          | ~ ssList(X17) )
                                      | ~ ssItem(X16) )
                                  | ~ ssList(X15)
                                  | app(X15,cons(X14,nil)) != X8 )
                              | ~ ssItem(X14) )
                          & ssList(X9)
                          & strictorderedP(X2) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & sK1 = X2
                  & ssList(X3) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f157,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( X1 = X3
                & ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                                & ssList(X7) ) )
                        & ~ neq(X4,X5) ) )
                & ? [X8] :
                    ( ssList(X8)
                    & ? [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( app(cons(X10,nil),X11) != X9
                                | ! [X12] :
                                    ( ~ ssItem(X12)
                                    | ! [X13] :
                                        ( ~ lt(X12,X10)
                                        | app(X13,cons(X12,nil)) != X2
                                        | ~ ssList(X13) ) )
                                | ~ ssList(X11) )
                            | ~ ssItem(X10) )
                        & app(app(X8,X2),X9) = X3
                        & ! [X14] :
                            ( ! [X15] :
                                ( ! [X16] :
                                    ( ! [X17] :
                                        ( ~ lt(X14,X16)
                                        | app(cons(X16,nil),X17) != X2
                                        | ~ ssList(X17) )
                                    | ~ ssItem(X16) )
                                | ~ ssList(X15)
                                | app(X15,cons(X14,nil)) != X8 )
                            | ~ ssItem(X14) )
                        & ssList(X9)
                        & strictorderedP(X2) ) )
                & ( nil = X3
                  | nil != X2 )
                & sK1 = X2
                & ssList(X3) ) ) )
   => ( ssList(sK2)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( sK2 = X3
              & ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ssItem(X5)
                      & ? [X6] :
                          ( ssList(X6)
                          & ? [X7] :
                              ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                              & ssList(X7) ) )
                      & ~ neq(X4,X5) ) )
              & ? [X8] :
                  ( ssList(X8)
                  & ? [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( app(cons(X10,nil),X11) != X9
                              | ! [X12] :
                                  ( ~ ssItem(X12)
                                  | ! [X13] :
                                      ( ~ lt(X12,X10)
                                      | app(X13,cons(X12,nil)) != X2
                                      | ~ ssList(X13) ) )
                              | ~ ssList(X11) )
                          | ~ ssItem(X10) )
                      & app(app(X8,X2),X9) = X3
                      & ! [X14] :
                          ( ! [X15] :
                              ( ! [X16] :
                                  ( ! [X17] :
                                      ( ~ lt(X14,X16)
                                      | app(cons(X16,nil),X17) != X2
                                      | ~ ssList(X17) )
                                  | ~ ssItem(X16) )
                              | ~ ssList(X15)
                              | app(X15,cons(X14,nil)) != X8 )
                          | ~ ssItem(X14) )
                      & ssList(X9)
                      & strictorderedP(X2) ) )
              & ( nil = X3
                | nil != X2 )
              & sK1 = X2
              & ssList(X3) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( sK2 = X3
            & ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ssItem(X5)
                    & ? [X6] :
                        ( ssList(X6)
                        & ? [X7] :
                            ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                            & ssList(X7) ) )
                    & ~ neq(X4,X5) ) )
            & ? [X8] :
                ( ssList(X8)
                & ? [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( app(cons(X10,nil),X11) != X9
                            | ! [X12] :
                                ( ~ ssItem(X12)
                                | ! [X13] :
                                    ( ~ lt(X12,X10)
                                    | app(X13,cons(X12,nil)) != X2
                                    | ~ ssList(X13) ) )
                            | ~ ssList(X11) )
                        | ~ ssItem(X10) )
                    & app(app(X8,X2),X9) = X3
                    & ! [X14] :
                        ( ! [X15] :
                            ( ! [X16] :
                                ( ! [X17] :
                                    ( ~ lt(X14,X16)
                                    | app(cons(X16,nil),X17) != X2
                                    | ~ ssList(X17) )
                                | ~ ssItem(X16) )
                            | ~ ssList(X15)
                            | app(X15,cons(X14,nil)) != X8 )
                        | ~ ssItem(X14) )
                    & ssList(X9)
                    & strictorderedP(X2) ) )
            & ( nil = X3
              | nil != X2 )
            & sK1 = X2
            & ssList(X3) ) )
   => ( ssList(sK3)
      & ? [X3] :
          ( sK2 = X3
          & ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ssItem(X5)
                  & ? [X6] :
                      ( ssList(X6)
                      & ? [X7] :
                          ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                          & ssList(X7) ) )
                  & ~ neq(X4,X5) ) )
          & ? [X8] :
              ( ssList(X8)
              & ? [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( app(cons(X10,nil),X11) != X9
                          | ! [X12] :
                              ( ~ ssItem(X12)
                              | ! [X13] :
                                  ( ~ lt(X12,X10)
                                  | app(X13,cons(X12,nil)) != sK3
                                  | ~ ssList(X13) ) )
                          | ~ ssList(X11) )
                      | ~ ssItem(X10) )
                  & app(app(X8,sK3),X9) = X3
                  & ! [X14] :
                      ( ! [X15] :
                          ( ! [X16] :
                              ( ! [X17] :
                                  ( ~ lt(X14,X16)
                                  | sK3 != app(cons(X16,nil),X17)
                                  | ~ ssList(X17) )
                              | ~ ssItem(X16) )
                          | ~ ssList(X15)
                          | app(X15,cons(X14,nil)) != X8 )
                      | ~ ssItem(X14) )
                  & ssList(X9)
                  & strictorderedP(sK3) ) )
          & ( nil = X3
            | nil != sK3 )
          & sK3 = sK1
          & ssList(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ( ? [X3] :
        ( sK2 = X3
        & ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssItem(X5)
                & ? [X6] :
                    ( ssList(X6)
                    & ? [X7] :
                        ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                        & ssList(X7) ) )
                & ~ neq(X4,X5) ) )
        & ? [X8] :
            ( ssList(X8)
            & ? [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( app(cons(X10,nil),X11) != X9
                        | ! [X12] :
                            ( ~ ssItem(X12)
                            | ! [X13] :
                                ( ~ lt(X12,X10)
                                | app(X13,cons(X12,nil)) != sK3
                                | ~ ssList(X13) ) )
                        | ~ ssList(X11) )
                    | ~ ssItem(X10) )
                & app(app(X8,sK3),X9) = X3
                & ! [X14] :
                    ( ! [X15] :
                        ( ! [X16] :
                            ( ! [X17] :
                                ( ~ lt(X14,X16)
                                | sK3 != app(cons(X16,nil),X17)
                                | ~ ssList(X17) )
                            | ~ ssItem(X16) )
                        | ~ ssList(X15)
                        | app(X15,cons(X14,nil)) != X8 )
                    | ~ ssItem(X14) )
                & ssList(X9)
                & strictorderedP(sK3) ) )
        & ( nil = X3
          | nil != sK3 )
        & sK3 = sK1
        & ssList(X3) )
   => ( sK4 = sK2
      & ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ssItem(X5)
              & ? [X6] :
                  ( ssList(X6)
                  & ? [X7] :
                      ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                      & ssList(X7) ) )
              & ~ neq(X4,X5) ) )
      & ? [X8] :
          ( ssList(X8)
          & ? [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(cons(X10,nil),X11) != X9
                      | ! [X12] :
                          ( ~ ssItem(X12)
                          | ! [X13] :
                              ( ~ lt(X12,X10)
                              | app(X13,cons(X12,nil)) != sK3
                              | ~ ssList(X13) ) )
                      | ~ ssList(X11) )
                  | ~ ssItem(X10) )
              & sK4 = app(app(X8,sK3),X9)
              & ! [X14] :
                  ( ! [X15] :
                      ( ! [X16] :
                          ( ! [X17] :
                              ( ~ lt(X14,X16)
                              | sK3 != app(cons(X16,nil),X17)
                              | ~ ssList(X17) )
                          | ~ ssItem(X16) )
                      | ~ ssList(X15)
                      | app(X15,cons(X14,nil)) != X8 )
                  | ~ ssItem(X14) )
              & ssList(X9)
              & strictorderedP(sK3) ) )
      & ( nil = sK4
        | nil != sK3 )
      & sK3 = sK1
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ssItem(X5)
            & ? [X6] :
                ( ssList(X6)
                & ? [X7] :
                    ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK1
                    & ssList(X7) ) )
            & ~ neq(X4,X5) ) )
   => ( ssItem(sK5)
      & ? [X5] :
          ( ssItem(X5)
          & ? [X6] :
              ( ssList(X6)
              & ? [X7] :
                  ( app(app(app(X6,cons(sK5,nil)),cons(X5,nil)),X7) = sK1
                  & ssList(X7) ) )
          & ~ neq(sK5,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ( ? [X5] :
        ( ssItem(X5)
        & ? [X6] :
            ( ssList(X6)
            & ? [X7] :
                ( app(app(app(X6,cons(sK5,nil)),cons(X5,nil)),X7) = sK1
                & ssList(X7) ) )
        & ~ neq(sK5,X5) )
   => ( ssItem(sK6)
      & ? [X6] :
          ( ssList(X6)
          & ? [X7] :
              ( app(app(app(X6,cons(sK5,nil)),cons(sK6,nil)),X7) = sK1
              & ssList(X7) ) )
      & ~ neq(sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ( ? [X6] :
        ( ssList(X6)
        & ? [X7] :
            ( app(app(app(X6,cons(sK5,nil)),cons(sK6,nil)),X7) = sK1
            & ssList(X7) ) )
   => ( ssList(sK7)
      & ? [X7] :
          ( sK1 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X7)
          & ssList(X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f163,plain,
    ( ? [X7] :
        ( sK1 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),X7)
        & ssList(X7) )
   => ( sK1 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8)
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ( ? [X8] :
        ( ssList(X8)
        & ? [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(cons(X10,nil),X11) != X9
                    | ! [X12] :
                        ( ~ ssItem(X12)
                        | ! [X13] :
                            ( ~ lt(X12,X10)
                            | app(X13,cons(X12,nil)) != sK3
                            | ~ ssList(X13) ) )
                    | ~ ssList(X11) )
                | ~ ssItem(X10) )
            & sK4 = app(app(X8,sK3),X9)
            & ! [X14] :
                ( ! [X15] :
                    ( ! [X16] :
                        ( ! [X17] :
                            ( ~ lt(X14,X16)
                            | sK3 != app(cons(X16,nil),X17)
                            | ~ ssList(X17) )
                        | ~ ssItem(X16) )
                    | ~ ssList(X15)
                    | app(X15,cons(X14,nil)) != X8 )
                | ~ ssItem(X14) )
            & ssList(X9)
            & strictorderedP(sK3) ) )
   => ( ssList(sK9)
      & ? [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(cons(X10,nil),X11) != X9
                  | ! [X12] :
                      ( ~ ssItem(X12)
                      | ! [X13] :
                          ( ~ lt(X12,X10)
                          | app(X13,cons(X12,nil)) != sK3
                          | ~ ssList(X13) ) )
                  | ~ ssList(X11) )
              | ~ ssItem(X10) )
          & sK4 = app(app(sK9,sK3),X9)
          & ! [X14] :
              ( ! [X15] :
                  ( ! [X16] :
                      ( ! [X17] :
                          ( ~ lt(X14,X16)
                          | sK3 != app(cons(X16,nil),X17)
                          | ~ ssList(X17) )
                      | ~ ssItem(X16) )
                  | ~ ssList(X15)
                  | sK9 != app(X15,cons(X14,nil)) )
              | ~ ssItem(X14) )
          & ssList(X9)
          & strictorderedP(sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ( ? [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(cons(X10,nil),X11) != X9
                | ! [X12] :
                    ( ~ ssItem(X12)
                    | ! [X13] :
                        ( ~ lt(X12,X10)
                        | app(X13,cons(X12,nil)) != sK3
                        | ~ ssList(X13) ) )
                | ~ ssList(X11) )
            | ~ ssItem(X10) )
        & sK4 = app(app(sK9,sK3),X9)
        & ! [X14] :
            ( ! [X15] :
                ( ! [X16] :
                    ( ! [X17] :
                        ( ~ lt(X14,X16)
                        | sK3 != app(cons(X16,nil),X17)
                        | ~ ssList(X17) )
                    | ~ ssItem(X16) )
                | ~ ssList(X15)
                | sK9 != app(X15,cons(X14,nil)) )
            | ~ ssItem(X14) )
        & ssList(X9)
        & strictorderedP(sK3) )
   => ( ! [X10] :
          ( ! [X11] :
              ( app(cons(X10,nil),X11) != sK10
              | ! [X12] :
                  ( ~ ssItem(X12)
                  | ! [X13] :
                      ( ~ lt(X12,X10)
                      | app(X13,cons(X12,nil)) != sK3
                      | ~ ssList(X13) ) )
              | ~ ssList(X11) )
          | ~ ssItem(X10) )
      & sK4 = app(app(sK9,sK3),sK10)
      & ! [X14] :
          ( ! [X15] :
              ( ! [X16] :
                  ( ! [X17] :
                      ( ~ lt(X14,X16)
                      | sK3 != app(cons(X16,nil),X17)
                      | ~ ssList(X17) )
                  | ~ ssItem(X16) )
              | ~ ssList(X15)
              | sK9 != app(X15,cons(X14,nil)) )
          | ~ ssItem(X14) )
      & ssList(sK10)
      & strictorderedP(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssItem(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
                                  & ssList(X7) ) )
                          & ~ neq(X4,X5) ) )
                  & ? [X8] :
                      ( ssList(X8)
                      & ? [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( app(cons(X10,nil),X11) != X9
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ lt(X12,X10)
                                          | app(X13,cons(X12,nil)) != X2
                                          | ~ ssList(X13) ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & app(app(X8,X2),X9) = X3
                          & ! [X14] :
                              ( ! [X15] :
                                  ( ! [X16] :
                                      ( ! [X17] :
                                          ( ~ lt(X14,X16)
                                          | app(cons(X16,nil),X17) != X2
                                          | ~ ssList(X17) )
                                      | ~ ssItem(X16) )
                                  | ~ ssList(X15)
                                  | app(X15,cons(X14,nil)) != X8 )
                              | ~ ssItem(X14) )
                          & ssList(X9)
                          & strictorderedP(X2) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & ssList(X3) ) ) ) ),
    inference(rectify,[],[f125]) ).

fof(f125,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( X1 = X3
                  & ? [X14] :
                      ( ssItem(X14)
                      & ? [X15] :
                          ( ssItem(X15)
                          & ? [X16] :
                              ( ssList(X16)
                              & ? [X17] :
                                  ( app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = X0
                                  & ssList(X17) ) )
                          & ~ neq(X14,X15) ) )
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( app(cons(X10,nil),X11) != X5
                                  | ! [X12] :
                                      ( ~ ssItem(X12)
                                      | ! [X13] :
                                          ( ~ lt(X12,X10)
                                          | app(X13,cons(X12,nil)) != X2
                                          | ~ ssList(X13) ) )
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & app(app(X4,X2),X5) = X3
                          & ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ~ lt(X6,X8)
                                          | app(cons(X8,nil),X9) != X2
                                          | ~ ssList(X9) )
                                      | ~ ssItem(X8) )
                                  | ~ ssList(X7)
                                  | app(X7,cons(X6,nil)) != X4 )
                              | ~ ssItem(X6) )
                          & ssList(X5)
                          & strictorderedP(X2) ) )
                  & ( nil = X3
                    | nil != X2 )
                  & X0 = X2
                  & ssList(X3) ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

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

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

fof(f1552,plain,
    ( ~ ssItem(sK5)
    | ~ spl20_21 ),
    inference(resolution,[],[f1537,f257]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ lt(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).

fof(f1537,plain,
    ( lt(sK5,sK5)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1536,f223]) ).

fof(f223,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f166]) ).

fof(f1536,plain,
    ( ~ ssList(sK8)
    | lt(sK5,sK5)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1535,f225]) ).

fof(f225,plain,
    ssList(sK7),
    inference(cnf_transformation,[],[f166]) ).

fof(f1535,plain,
    ( ~ ssList(sK7)
    | lt(sK5,sK5)
    | ~ ssList(sK8)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1534,f258]) ).

fof(f258,plain,
    ssList(sK1),
    inference(definition_unfolding,[],[f229,f214]) ).

fof(f214,plain,
    sK3 = sK1,
    inference(cnf_transformation,[],[f166]) ).

fof(f229,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f166]) ).

fof(f1534,plain,
    ( ~ ssList(sK1)
    | lt(sK5,sK5)
    | ~ ssList(sK7)
    | ~ ssList(sK8)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1533,f227]) ).

fof(f1533,plain,
    ( ~ ssItem(sK5)
    | ~ ssList(sK8)
    | ~ ssList(sK7)
    | lt(sK5,sK5)
    | ~ ssList(sK1)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1532,f262]) ).

fof(f262,plain,
    strictorderedP(sK1),
    inference(definition_unfolding,[],[f216,f214]) ).

fof(f216,plain,
    strictorderedP(sK3),
    inference(cnf_transformation,[],[f166]) ).

fof(f1532,plain,
    ( ~ strictorderedP(sK1)
    | ~ ssList(sK1)
    | ~ ssList(sK7)
    | lt(sK5,sK5)
    | ~ ssList(sK8)
    | ~ ssItem(sK5)
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f1521,f212]) ).

fof(f212,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f1521,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK5)
    | ~ ssList(sK1)
    | lt(sK5,sK5)
    | ~ ssList(sK7)
    | ~ strictorderedP(sK1)
    | ~ ssList(sK8)
    | ~ spl20_21 ),
    inference(duplicate_literal_removal,[],[f1509]) ).

fof(f1509,plain,
    ( ~ ssItem(sK5)
    | lt(sK5,sK5)
    | ~ ssList(sK8)
    | ~ ssList(sK1)
    | ~ strictorderedP(sK1)
    | ~ ssItem(sK5)
    | ~ ssList(sK7)
    | ~ ssList(nil)
    | ~ spl20_21 ),
    inference(superposition,[],[f272,f910]) ).

fof(f910,plain,
    ( sK1 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f909,f223]) ).

fof(f909,plain,
    ( ~ ssList(sK8)
    | sK1 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
    | ~ spl20_21 ),
    inference(subsumption_resolution,[],[f890,f227]) ).

fof(f890,plain,
    ( ~ ssItem(sK5)
    | ~ ssList(sK8)
    | sK1 = app(app(sK7,cons(sK5,nil)),cons(sK5,sK8))
    | ~ spl20_21 ),
    inference(superposition,[],[f436,f239]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),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(f436,plain,
    ( app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8)) = sK1
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f434,plain,
    ( spl20_21
  <=> app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8)) = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f272,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | lt(X6,X7)
      | ~ ssList(X9)
      | ~ ssItem(X7)
      | ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X8)
      | ~ ssItem(X6) ),
    inference(equality_resolution,[],[f246]) ).

fof(f246,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( ~ ssList(X0)
      | ~ ssItem(X7)
      | ~ ssList(X8)
      | lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X6)
      | ~ strictorderedP(X0) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( strictorderedP(X0)
          | ( ssItem(sK16(X0))
            & ssList(sK17(X0))
            & ~ lt(sK15(X0),sK16(X0))
            & app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
            & ssList(sK19(X0))
            & ssList(sK18(X0))
            & ssItem(sK15(X0)) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ~ ssItem(X7)
                  | ! [X8] :
                      ( ~ ssList(X8)
                      | ! [X9] :
                          ( ! [X10] :
                              ( lt(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) ) ) )
              | ~ ssItem(X6) )
          | ~ strictorderedP(X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19])],[f174,f179,f178,f177,f176,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ssItem(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ~ lt(X1,X2)
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) ) ) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ssItem(X2)
            & ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ? [X5] :
                        ( ~ lt(sK15(X0),X2)
                        & app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) ) ) )
        & ssItem(sK15(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ? [X5] :
                      ( ~ lt(sK15(X0),X2)
                      & app(app(X3,cons(sK15(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) ) ) )
     => ( ssItem(sK16(X0))
        & ? [X3] :
            ( ssList(X3)
            & ? [X4] :
                ( ? [X5] :
                    ( ~ lt(sK15(X0),sK16(X0))
                    & app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f177,plain,
    ! [X0] :
      ( ? [X3] :
          ( ssList(X3)
          & ? [X4] :
              ( ? [X5] :
                  ( ~ lt(sK15(X0),sK16(X0))
                  & app(app(X3,cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) ) )
     => ( ssList(sK17(X0))
        & ? [X4] :
            ( ? [X5] :
                ( ~ lt(sK15(X0),sK16(X0))
                & app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f178,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ~ lt(sK15(X0),sK16(X0))
              & app(app(sK17(X0),cons(sK15(X0),X4)),cons(sK16(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( ~ lt(sK15(X0),sK16(X0))
            & app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK18(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f179,plain,
    ! [X0] :
      ( ? [X5] :
          ( ~ lt(sK15(X0),sK16(X0))
          & app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X5)) = X0
          & ssList(X5) )
     => ( ~ lt(sK15(X0),sK16(X0))
        & app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
        & ssList(sK19(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( strictorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ssItem(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & ? [X4] :
                          ( ? [X5] :
                              ( ~ lt(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) ) ) )
              & ssItem(X1) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ~ ssItem(X7)
                  | ! [X8] :
                      ( ~ ssList(X8)
                      | ! [X9] :
                          ( ! [X10] :
                              ( lt(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) ) ) )
              | ~ ssItem(X6) )
          | ~ strictorderedP(X0) ) ) ),
    inference(rectify,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( strictorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ssItem(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & ? [X4] :
                          ( ? [X5] :
                              ( ~ lt(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) ) ) )
              & ssItem(X1) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ~ ssItem(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | ! [X4] :
                          ( ! [X5] :
                              ( lt(X1,X2)
                              | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                              | ~ ssList(X5) )
                          | ~ ssList(X4) ) ) )
              | ~ ssItem(X1) )
          | ~ strictorderedP(X0) ) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ~ ssItem(X2)
                | ! [X3] :
                    ( ~ ssList(X3)
                    | ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) ) ) )
            | ~ ssItem(X1) ) ) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) )
      <=> strictorderedP(X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) )
      <=> strictorderedP(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f514,plain,
    ( ~ spl20_18
    | spl20_20 ),
    inference(avatar_contradiction_clause,[],[f513]) ).

fof(f513,plain,
    ( $false
    | ~ spl20_18
    | spl20_20 ),
    inference(subsumption_resolution,[],[f512,f225]) ).

fof(f512,plain,
    ( ~ ssList(sK7)
    | ~ spl20_18
    | spl20_20 ),
    inference(subsumption_resolution,[],[f511,f419]) ).

fof(f419,plain,
    ( ssList(cons(sK5,nil))
    | ~ spl20_18 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl20_18
  <=> ssList(cons(sK5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).

fof(f511,plain,
    ( ~ ssList(cons(sK5,nil))
    | ~ ssList(sK7)
    | spl20_20 ),
    inference(resolution,[],[f432,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f432,plain,
    ( ~ ssList(app(sK7,cons(sK5,nil)))
    | spl20_20 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f430,plain,
    ( spl20_20
  <=> ssList(app(sK7,cons(sK5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f477,plain,
    spl20_18,
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | spl20_18 ),
    inference(subsumption_resolution,[],[f475,f227]) ).

fof(f475,plain,
    ( ~ ssItem(sK5)
    | spl20_18 ),
    inference(subsumption_resolution,[],[f474,f212]) ).

fof(f474,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK5)
    | spl20_18 ),
    inference(resolution,[],[f420,f240]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f420,plain,
    ( ~ ssList(cons(sK5,nil))
    | spl20_18 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f448,plain,
    ( ~ spl20_18
    | ~ spl20_20
    | spl20_21 ),
    inference(avatar_split_clause,[],[f447,f434,f430,f418]) ).

fof(f447,plain,
    ( app(app(sK7,cons(sK5,nil)),app(cons(sK5,nil),sK8)) = sK1
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | ~ ssList(cons(sK5,nil)) ),
    inference(forward_demodulation,[],[f446,f302]) ).

fof(f302,plain,
    sK5 = sK6,
    inference(subsumption_resolution,[],[f301,f226]) ).

fof(f226,plain,
    ssItem(sK6),
    inference(cnf_transformation,[],[f166]) ).

fof(f301,plain,
    ( sK5 = sK6
    | ~ ssItem(sK6) ),
    inference(subsumption_resolution,[],[f287,f227]) ).

fof(f287,plain,
    ( ~ ssItem(sK5)
    | sK5 = sK6
    | ~ ssItem(sK6) ),
    inference(resolution,[],[f222,f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssItem(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f222,plain,
    ~ neq(sK5,sK6),
    inference(cnf_transformation,[],[f166]) ).

fof(f446,plain,
    ( app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8)) = sK1
    | ~ ssList(cons(sK5,nil))
    | ~ ssList(app(sK7,cons(sK5,nil))) ),
    inference(forward_demodulation,[],[f445,f302]) ).

fof(f445,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8)) = sK1 ),
    inference(subsumption_resolution,[],[f363,f223]) ).

fof(f363,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ ssList(sK8)
    | ~ ssList(app(sK7,cons(sK5,nil)))
    | app(app(sK7,cons(sK5,nil)),app(cons(sK6,nil),sK8)) = sK1 ),
    inference(superposition,[],[f224,f200]) ).

fof(f200,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f224,plain,
    sK1 = app(app(app(sK7,cons(sK5,nil)),cons(sK6,nil)),sK8),
    inference(cnf_transformation,[],[f166]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC176+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:31:52 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (9019)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)
% 0.20/0.56  % (9011)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)
% 0.20/0.56  % (9020)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)
% 0.20/0.57  % (9019)Instruction limit reached!
% 0.20/0.57  % (9019)------------------------------
% 0.20/0.57  % (9019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (9035)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)
% 0.20/0.58  % (9020)Instruction limit reached!
% 0.20/0.58  % (9020)------------------------------
% 0.20/0.58  % (9020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (9011)Instruction limit reached!
% 0.20/0.58  % (9011)------------------------------
% 0.20/0.58  % (9011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (9011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (9011)Termination reason: Unknown
% 0.20/0.58  % (9011)Termination phase: shuffling
% 0.20/0.58  
% 0.20/0.58  % (9011)Memory used [KB]: 1535
% 0.20/0.58  % (9011)Time elapsed: 0.004 s
% 0.20/0.58  % (9011)Instructions burned: 3 (million)
% 0.20/0.58  % (9011)------------------------------
% 0.20/0.58  % (9011)------------------------------
% 0.20/0.58  % (9019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (9019)Termination reason: Unknown
% 0.20/0.58  % (9019)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (9019)Memory used [KB]: 6268
% 0.20/0.58  % (9019)Time elapsed: 0.133 s
% 0.20/0.58  % (9019)Instructions burned: 12 (million)
% 0.20/0.58  % (9019)------------------------------
% 0.20/0.58  % (9019)------------------------------
% 0.20/0.58  % (9012)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)
% 0.20/0.59  % (9020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (9020)Termination reason: Unknown
% 0.20/0.59  % (9020)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (9020)Memory used [KB]: 6140
% 0.20/0.59  % (9020)Time elapsed: 0.006 s
% 0.20/0.59  % (9020)Instructions burned: 7 (million)
% 0.20/0.59  % (9020)------------------------------
% 0.20/0.59  % (9020)------------------------------
% 0.20/0.60  % (9014)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.60  % (9031)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)
% 0.20/0.61  % (9009)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.61  % (9032)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)
% 0.20/0.61  % (9013)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)
% 0.20/0.62  % (9018)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)
% 0.20/0.62  % (9024)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)
% 0.20/0.62  % (9033)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)
% 0.20/0.62  % (9024)Instruction limit reached!
% 0.20/0.62  % (9024)------------------------------
% 0.20/0.62  % (9024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (9024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (9024)Termination reason: Unknown
% 0.20/0.62  % (9024)Termination phase: Property scanning
% 0.20/0.62  
% 0.20/0.62  % (9024)Memory used [KB]: 1791
% 0.20/0.62  % (9024)Time elapsed: 0.006 s
% 0.20/0.62  % (9024)Instructions burned: 7 (million)
% 0.20/0.62  % (9024)------------------------------
% 0.20/0.62  % (9024)------------------------------
% 0.20/0.62  % (9015)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)
% 0.20/0.63  % (9028)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)
% 0.20/0.63  % (9037)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)
% 0.20/0.63  % (9010)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)
% 0.20/0.63  % (9037)Instruction limit reached!
% 0.20/0.63  % (9037)------------------------------
% 0.20/0.63  % (9037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (9037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (9037)Termination reason: Unknown
% 0.20/0.63  % (9037)Termination phase: Property scanning
% 0.20/0.63  
% 0.20/0.63  % (9037)Memory used [KB]: 1791
% 0.20/0.63  % (9037)Time elapsed: 0.007 s
% 0.20/0.63  % (9037)Instructions burned: 8 (million)
% 0.20/0.63  % (9037)------------------------------
% 0.20/0.63  % (9037)------------------------------
% 0.20/0.63  % (9021)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.94/0.63  % (9023)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)
% 1.94/0.64  % (9023)Instruction limit reached!
% 1.94/0.64  % (9023)------------------------------
% 1.94/0.64  % (9023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.64  % (9023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.64  % (9023)Termination reason: Unknown
% 1.94/0.64  % (9023)Termination phase: Preprocessing 3
% 1.94/0.64  
% 1.94/0.64  % (9023)Memory used [KB]: 1663
% 1.94/0.64  % (9023)Time elapsed: 0.004 s
% 1.94/0.64  % (9023)Instructions burned: 3 (million)
% 1.94/0.64  % (9023)------------------------------
% 1.94/0.64  % (9023)------------------------------
% 1.94/0.64  % (9016)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)
% 1.94/0.64  % (9030)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.94/0.64  % (9022)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.94/0.64  % (9013)Instruction limit reached!
% 1.94/0.64  % (9013)------------------------------
% 1.94/0.64  % (9013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.64  % (9013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.64  % (9013)Termination reason: Unknown
% 1.94/0.64  % (9013)Termination phase: Saturation
% 1.94/0.64  
% 1.94/0.64  % (9013)Memory used [KB]: 6268
% 1.94/0.64  % (9013)Time elapsed: 0.195 s
% 1.94/0.64  % (9013)Instructions burned: 13 (million)
% 1.94/0.64  % (9013)------------------------------
% 1.94/0.64  % (9013)------------------------------
% 1.94/0.64  % (9038)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.94/0.65  % (9036)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)
% 1.94/0.65  % (9027)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.94/0.65  % (9027)Instruction limit reached!
% 1.94/0.65  % (9027)------------------------------
% 1.94/0.65  % (9027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65  % (9027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65  % (9027)Termination reason: Unknown
% 1.94/0.65  % (9027)Termination phase: SInE selection
% 1.94/0.65  
% 1.94/0.65  % (9027)Memory used [KB]: 1407
% 1.94/0.65  % (9027)Time elapsed: 0.002 s
% 1.94/0.65  % (9027)Instructions burned: 2 (million)
% 1.94/0.65  % (9027)------------------------------
% 1.94/0.65  % (9027)------------------------------
% 1.94/0.65  % (9025)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)
% 1.94/0.65  % (9014)Instruction limit reached!
% 1.94/0.65  % (9014)------------------------------
% 1.94/0.65  % (9014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.65  % (9014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.65  % (9014)Termination reason: Unknown
% 1.94/0.65  % (9014)Termination phase: Saturation
% 1.94/0.65  
% 1.94/0.65  % (9014)Memory used [KB]: 1791
% 1.94/0.65  % (9014)Time elapsed: 0.223 s
% 1.94/0.65  % (9014)Instructions burned: 15 (million)
% 1.94/0.65  % (9014)------------------------------
% 1.94/0.65  % (9014)------------------------------
% 1.94/0.65  % (9026)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.94/0.65  % (9028)Instruction limit reached!
% 1.94/0.65  % (9028)------------------------------
% 1.94/0.65  % (9028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66  % (9029)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)
% 2.34/0.66  % (9034)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.34/0.66  % (9026)Instruction limit reached!
% 2.34/0.66  % (9026)------------------------------
% 2.34/0.66  % (9026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66  % (9017)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)
% 2.34/0.66  % (9021)Instruction limit reached!
% 2.34/0.66  % (9021)------------------------------
% 2.34/0.66  % (9021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.67  % (9026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67  % (9026)Termination reason: Unknown
% 2.40/0.67  % (9026)Termination phase: Preprocessing 3
% 2.40/0.67  
% 2.40/0.67  % (9026)Memory used [KB]: 1663
% 2.40/0.67  % (9026)Time elapsed: 0.006 s
% 2.40/0.67  % (9026)Instructions burned: 4 (million)
% 2.40/0.67  % (9026)------------------------------
% 2.40/0.67  % (9026)------------------------------
% 2.40/0.67  % (9028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67  % (9028)Termination reason: Unknown
% 2.40/0.67  % (9028)Termination phase: Saturation
% 2.40/0.67  
% 2.40/0.67  % (9028)Memory used [KB]: 6396
% 2.40/0.67  % (9028)Time elapsed: 0.221 s
% 2.40/0.67  % (9028)Instructions burned: 11 (million)
% 2.40/0.67  % (9028)------------------------------
% 2.40/0.67  % (9028)------------------------------
% 2.40/0.68  % (9010)Instruction limit reached!
% 2.40/0.68  % (9010)------------------------------
% 2.40/0.68  % (9010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (9010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (9010)Termination reason: Unknown
% 2.40/0.68  % (9010)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (9010)Memory used [KB]: 6396
% 2.40/0.68  % (9010)Time elapsed: 0.012 s
% 2.40/0.68  % (9010)Instructions burned: 13 (million)
% 2.40/0.68  % (9010)------------------------------
% 2.40/0.68  % (9010)------------------------------
% 2.40/0.68  % (9021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (9021)Termination reason: Unknown
% 2.40/0.68  % (9021)Termination phase: Saturation
% 2.40/0.68  
% 2.40/0.68  % (9021)Memory used [KB]: 2046
% 2.40/0.68  % (9021)Time elapsed: 0.233 s
% 2.40/0.68  % (9021)Instructions burned: 16 (million)
% 2.40/0.68  % (9021)------------------------------
% 2.40/0.68  % (9021)------------------------------
% 2.40/0.68  % (9012)Refutation not found, non-redundant clauses discarded% (9012)------------------------------
% 2.40/0.68  % (9012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68  % (9012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68  % (9012)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.40/0.68  
% 2.40/0.68  % (9012)Memory used [KB]: 7036
% 2.40/0.68  % (9012)Time elapsed: 0.237 s
% 2.40/0.68  % (9012)Instructions burned: 48 (million)
% 2.40/0.68  % (9012)------------------------------
% 2.40/0.68  % (9012)------------------------------
% 2.40/0.69  % (9038)Instruction limit reached!
% 2.40/0.69  % (9038)------------------------------
% 2.40/0.69  % (9038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.69  % (9038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.69  % (9038)Termination reason: Unknown
% 2.40/0.69  % (9038)Termination phase: Saturation
% 2.40/0.69  
% 2.40/0.69  % (9038)Memory used [KB]: 6524
% 2.40/0.69  % (9038)Time elapsed: 0.237 s
% 2.40/0.69  % (9038)Instructions burned: 25 (million)
% 2.40/0.69  % (9038)------------------------------
% 2.40/0.69  % (9038)------------------------------
% 2.40/0.69  % (9018)Instruction limit reached!
% 2.40/0.69  % (9018)------------------------------
% 2.40/0.69  % (9018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.69  % (9018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.69  % (9018)Termination reason: Unknown
% 2.40/0.69  % (9018)Termination phase: Saturation
% 2.40/0.69  
% 2.40/0.69  % (9018)Memory used [KB]: 6780
% 2.40/0.69  % (9018)Time elapsed: 0.257 s
% 2.40/0.69  % (9018)Instructions burned: 33 (million)
% 2.40/0.69  % (9018)------------------------------
% 2.40/0.69  % (9018)------------------------------
% 2.40/0.70  % (9036)Instruction limit reached!
% 2.40/0.70  % (9036)------------------------------
% 2.40/0.70  % (9036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.70  % (9036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.70  % (9036)Termination reason: Unknown
% 2.40/0.70  % (9036)Termination phase: Saturation
% 2.40/0.70  
% 2.40/0.70  % (9036)Memory used [KB]: 6652
% 2.40/0.70  % (9036)Time elapsed: 0.271 s
% 2.40/0.70  % (9036)Instructions burned: 25 (million)
% 2.40/0.70  % (9036)------------------------------
% 2.40/0.70  % (9036)------------------------------
% 2.40/0.70  % (9016)Refutation not found, non-redundant clauses discarded% (9016)------------------------------
% 2.40/0.70  % (9016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.70  % (9016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.70  % (9016)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.40/0.70  
% 2.40/0.70  % (9016)Memory used [KB]: 6652
% 2.40/0.70  % (9016)Time elapsed: 0.230 s
% 2.40/0.70  % (9016)Instructions burned: 36 (million)
% 2.40/0.70  % (9016)------------------------------
% 2.40/0.70  % (9016)------------------------------
% 2.71/0.71  % (9015)Instruction limit reached!
% 2.71/0.71  % (9015)------------------------------
% 2.71/0.71  % (9015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.71  % (9015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.71  % (9015)Termination reason: Unknown
% 2.71/0.71  % (9015)Termination phase: Saturation
% 2.71/0.71  
% 2.71/0.71  % (9015)Memory used [KB]: 6524
% 2.71/0.71  % (9015)Time elapsed: 0.274 s
% 2.71/0.71  % (9015)Instructions burned: 39 (million)
% 2.71/0.71  % (9015)------------------------------
% 2.71/0.71  % (9015)------------------------------
% 2.71/0.71  % (9029)Instruction limit reached!
% 2.71/0.71  % (9029)------------------------------
% 2.71/0.71  % (9029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.71  % (9029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.71  % (9029)Termination reason: Unknown
% 2.71/0.71  % (9029)Termination phase: Saturation
% 2.71/0.71  
% 2.71/0.71  % (9029)Memory used [KB]: 6524
% 2.71/0.71  % (9029)Time elapsed: 0.269 s
% 2.71/0.71  % (9029)Instructions burned: 30 (million)
% 2.71/0.71  % (9029)------------------------------
% 2.71/0.71  % (9029)------------------------------
% 2.71/0.72  % (9032)Instruction limit reached!
% 2.71/0.72  % (9032)------------------------------
% 2.71/0.72  % (9032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72  % (9032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72  % (9032)Termination reason: Unknown
% 2.71/0.72  % (9032)Termination phase: Saturation
% 2.71/0.72  
% 2.71/0.72  % (9032)Memory used [KB]: 2302
% 2.71/0.72  % (9032)Time elapsed: 0.243 s
% 2.71/0.72  % (9032)Instructions burned: 47 (million)
% 2.71/0.72  % (9032)------------------------------
% 2.71/0.72  % (9032)------------------------------
% 2.71/0.72  % (9022)Instruction limit reached!
% 2.71/0.72  % (9022)------------------------------
% 2.71/0.72  % (9022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73  % (9025)Instruction limit reached!
% 2.71/0.73  % (9025)------------------------------
% 2.71/0.73  % (9025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73  % (9033)Instruction limit reached!
% 2.71/0.73  % (9033)------------------------------
% 2.71/0.73  % (9033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74  % (9022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.74  % (9022)Termination reason: Unknown
% 2.71/0.74  % (9022)Termination phase: Saturation
% 2.71/0.74  
% 2.71/0.74  % (9022)Memory used [KB]: 7419
% 2.71/0.74  % (9022)Time elapsed: 0.293 s
% 2.71/0.74  % (9022)Instructions burned: 53 (million)
% 2.71/0.74  % (9022)------------------------------
% 2.71/0.74  % (9022)------------------------------
% 2.71/0.74  % (9033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.74  % (9033)Termination reason: Unknown
% 2.71/0.74  % (9033)Termination phase: Saturation
% 2.71/0.74  
% 2.71/0.74  % (9033)Memory used [KB]: 6908
% 2.71/0.74  % (9033)Time elapsed: 0.305 s
% 2.71/0.74  % (9033)Instructions burned: 50 (million)
% 2.71/0.74  % (9033)------------------------------
% 2.71/0.74  % (9033)------------------------------
% 2.71/0.74  % (9017)Instruction limit reached!
% 2.71/0.74  % (9017)------------------------------
% 2.71/0.74  % (9017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.74  % (9073)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.83/0.74  % (9073)Instruction limit reached!
% 2.83/0.74  % (9073)------------------------------
% 2.83/0.74  % (9073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.74  % (9072)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.83/0.74  % (9074)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.83/0.75  % (9025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.75  % (9025)Termination reason: Unknown
% 2.83/0.75  % (9025)Termination phase: Saturation
% 2.83/0.75  
% 2.83/0.75  % (9025)Memory used [KB]: 6908
% 2.83/0.75  % (9025)Time elapsed: 0.257 s
% 2.83/0.75  % (9025)Instructions burned: 50 (million)
% 2.83/0.75  % (9025)------------------------------
% 2.83/0.75  % (9025)------------------------------
% 2.83/0.75  % (9017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.75  % (9017)Termination reason: Unknown
% 2.83/0.75  % (9017)Termination phase: Saturation
% 2.83/0.75  
% 2.83/0.75  % (9017)Memory used [KB]: 7291
% 2.83/0.75  % (9017)Time elapsed: 0.299 s
% 2.83/0.75  % (9017)Instructions burned: 50 (million)
% 2.83/0.75  % (9017)------------------------------
% 2.83/0.75  % (9017)------------------------------
% 2.83/0.75  % (9035)Instruction limit reached!
% 2.83/0.75  % (9035)------------------------------
% 2.83/0.75  % (9035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.75  % (9073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.75  % (9073)Termination reason: Unknown
% 2.83/0.75  % (9073)Termination phase: Saturation
% 2.83/0.75  
% 2.83/0.75  % (9073)Memory used [KB]: 10618
% 2.83/0.75  % (9073)Time elapsed: 0.006 s
% 2.83/0.75  % (9073)Instructions burned: 7 (million)
% 2.83/0.75  % (9073)------------------------------
% 2.83/0.75  % (9073)------------------------------
% 2.83/0.76  % (9035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.76  % (9035)Termination reason: Unknown
% 2.83/0.76  % (9035)Termination phase: Saturation
% 2.83/0.76  
% 2.83/0.76  % (9035)Memory used [KB]: 7547
% 2.83/0.76  % (9035)Time elapsed: 0.315 s
% 2.83/0.76  % (9035)Instructions burned: 99 (million)
% 2.83/0.76  % (9035)------------------------------
% 2.83/0.76  % (9035)------------------------------
% 2.83/0.76  % (9077)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.83/0.77  % (9031)Instruction limit reached!
% 2.83/0.77  % (9031)------------------------------
% 2.83/0.77  % (9031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.77  % (9031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.77  % (9031)Termination reason: Unknown
% 2.83/0.77  % (9031)Termination phase: Saturation
% 2.83/0.77  
% 2.83/0.77  % (9031)Memory used [KB]: 8187
% 2.83/0.77  % (9031)Time elapsed: 0.327 s
% 2.83/0.77  % (9031)Instructions burned: 83 (million)
% 2.83/0.77  % (9031)------------------------------
% 2.83/0.77  % (9031)------------------------------
% 2.83/0.77  % (9081)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.83/0.78  % (9083)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/84Mi)
% 2.83/0.78  % (9075)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.83/0.78  % (9078)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.83/0.79  % (9079)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.83/0.79  % (9076)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.83/0.80  % (9085)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 2.83/0.80  % (9082)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.83/0.80  % (9084)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/131Mi)
% 2.83/0.80  % (9088)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.83/0.81  % (9034)Instruction limit reached!
% 2.83/0.81  % (9034)------------------------------
% 2.83/0.81  % (9034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.81  % (9034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.81  % (9034)Termination reason: Unknown
% 2.83/0.81  % (9034)Termination phase: Saturation
% 2.83/0.81  
% 2.83/0.81  % (9034)Memory used [KB]: 7291
% 2.83/0.81  % (9034)Time elapsed: 0.377 s
% 2.83/0.81  % (9034)Instructions burned: 96 (million)
% 2.83/0.81  % (9034)------------------------------
% 2.83/0.81  % (9034)------------------------------
% 2.83/0.81  % (9087)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 2.83/0.81  % (9086)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.83/0.82  % (9081)Refutation not found, incomplete strategy% (9081)------------------------------
% 2.83/0.82  % (9081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.82  % (9081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.82  % (9081)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.82  
% 2.83/0.82  % (9081)Memory used [KB]: 6652
% 2.83/0.82  % (9081)Time elapsed: 0.117 s
% 2.83/0.82  % (9081)Instructions burned: 20 (million)
% 2.83/0.82  % (9081)------------------------------
% 2.83/0.82  % (9081)------------------------------
% 2.83/0.82  % (9088)Instruction limit reached!
% 2.83/0.82  % (9088)------------------------------
% 2.83/0.82  % (9088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.82  % (9088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.82  % (9088)Termination reason: Unknown
% 2.83/0.82  % (9088)Termination phase: Saturation
% 2.83/0.82  
% 2.83/0.82  % (9088)Memory used [KB]: 6524
% 2.83/0.82  % (9088)Time elapsed: 0.073 s
% 2.83/0.82  % (9088)Instructions burned: 15 (million)
% 2.83/0.82  % (9088)------------------------------
% 2.83/0.82  % (9088)------------------------------
% 2.83/0.82  % (9092)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/19Mi)
% 2.83/0.82  % (9072)First to succeed.
% 3.12/0.83  % (9089)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/32Mi)
% 3.12/0.83  % (9030)Instruction limit reached!
% 3.12/0.83  % (9030)------------------------------
% 3.12/0.83  % (9030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.83  % (9030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.83  % (9030)Termination reason: Unknown
% 3.12/0.83  % (9030)Termination phase: Saturation
% 3.12/0.83  
% 3.12/0.83  % (9030)Memory used [KB]: 8187
% 3.12/0.83  % (9030)Time elapsed: 0.357 s
% 3.12/0.83  % (9030)Instructions burned: 99 (million)
% 3.12/0.83  % (9030)------------------------------
% 3.12/0.83  % (9030)------------------------------
% 3.12/0.84  % (9091)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 3.12/0.84  % (9090)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 3.12/0.85  % (9092)Instruction limit reached!
% 3.12/0.85  % (9092)------------------------------
% 3.12/0.85  % (9092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.85  % (9072)Refutation found. Thanks to Tanya!
% 3.12/0.85  % SZS status Theorem for theBenchmark
% 3.12/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 3.12/0.85  % (9072)------------------------------
% 3.12/0.85  % (9072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.85  % (9072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.85  % (9072)Termination reason: Refutation
% 3.12/0.85  
% 3.12/0.85  % (9072)Memory used [KB]: 6908
% 3.12/0.85  % (9072)Time elapsed: 0.205 s
% 3.12/0.85  % (9072)Instructions burned: 51 (million)
% 3.12/0.85  % (9072)------------------------------
% 3.12/0.85  % (9072)------------------------------
% 3.12/0.85  % (9008)Success in time 0.492 s
%------------------------------------------------------------------------------