TSTP Solution File: SWC344+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Sun May  5 09:50:29 EDT 2024

% Result   : Theorem 1.37s 0.99s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  180 (  10 unt;   0 def)
%            Number of atoms       :  988 ( 238 equ)
%            Maximal formula atoms :   46 (   5 avg)
%            Number of connectives : 1374 ( 566   ~; 630   |; 109   &)
%                                         (  27 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   34 (  32 usr;  28 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :  298 ( 240   !;  58   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f638,plain,
    $false,
    inference(avatar_sat_refutation,[],[f435,f443,f444,f448,f452,f453,f454,f458,f459,f463,f467,f471,f472,f473,f474,f476,f495,f502,f509,f511,f518,f520,f527,f556,f558,f567,f574,f618,f622,f623,f624,f625,f633,f637]) ).

fof(f637,plain,
    ( ~ spl46_15
    | ~ spl46_13
    | ~ spl46_18
    | ~ spl46_24
    | ~ spl46_31 ),
    inference(avatar_split_clause,[],[f636,f608,f564,f524,f488,f499]) ).

fof(f499,plain,
    ( spl46_15
  <=> ssList(sK9(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_15])]) ).

fof(f488,plain,
    ( spl46_13
  <=> ssItem(sK6(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_13])]) ).

fof(f524,plain,
    ( spl46_18
  <=> lt(sK6(sK4),sK11(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_18])]) ).

fof(f564,plain,
    ( spl46_24
  <=> sK4 = app(sK9(sK4),cons(sK6(sK4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_24])]) ).

fof(f608,plain,
    ( spl46_31
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ lt(X1,sK11(sK4))
        | ~ ssItem(X1)
        | sK4 != app(X0,cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_31])]) ).

fof(f636,plain,
    ( ~ lt(sK6(sK4),sK11(sK4))
    | ~ ssItem(sK6(sK4))
    | ~ ssList(sK9(sK4))
    | ~ spl46_24
    | ~ spl46_31 ),
    inference(trivial_inequality_removal,[],[f635]) ).

fof(f635,plain,
    ( sK4 != sK4
    | ~ lt(sK6(sK4),sK11(sK4))
    | ~ ssItem(sK6(sK4))
    | ~ ssList(sK9(sK4))
    | ~ spl46_24
    | ~ spl46_31 ),
    inference(superposition,[],[f609,f566]) ).

fof(f566,plain,
    ( sK4 = app(sK9(sK4),cons(sK6(sK4),nil))
    | ~ spl46_24 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f609,plain,
    ( ! [X0,X1] :
        ( sK4 != app(X0,cons(X1,nil))
        | ~ lt(X1,sK11(sK4))
        | ~ ssItem(X1)
        | ~ ssList(X0) )
    | ~ spl46_31 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f633,plain,
    ( ~ spl46_17
    | ~ spl46_16
    | spl46_31
    | ~ spl46_25 ),
    inference(avatar_split_clause,[],[f632,f571,f608,f506,f515]) ).

fof(f515,plain,
    ( spl46_17
  <=> ssList(sK13(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_17])]) ).

fof(f506,plain,
    ( spl46_16
  <=> ssItem(sK11(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_16])]) ).

fof(f571,plain,
    ( spl46_25
  <=> sK2 = app(cons(sK11(sK4),nil),sK13(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_25])]) ).

fof(f632,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | sK4 != app(X0,cons(X1,nil))
        | ~ ssItem(sK11(sK4))
        | ~ ssList(sK13(sK4))
        | ~ ssItem(X1)
        | ~ lt(X1,sK11(sK4)) )
    | ~ spl46_25 ),
    inference(trivial_inequality_removal,[],[f630]) ).

fof(f630,plain,
    ( ! [X0,X1] :
        ( sK2 != sK2
        | ~ ssList(X0)
        | sK4 != app(X0,cons(X1,nil))
        | ~ ssItem(sK11(sK4))
        | ~ ssList(sK13(sK4))
        | ~ ssItem(X1)
        | ~ lt(X1,sK11(sK4)) )
    | ~ spl46_25 ),
    inference(superposition,[],[f191,f573]) ).

fof(f573,plain,
    ( sK2 = app(cons(sK11(sK4),nil),sK13(sK4))
    | ~ spl46_25 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f191,plain,
    ! [X21,X22,X23,X20] :
      ( app(cons(X22,nil),X23) != sK2
      | ~ ssList(X21)
      | app(X21,cons(X20,nil)) != sK4
      | ~ ssItem(X22)
      | ~ ssList(X23)
      | ~ ssItem(X20)
      | ~ lt(X20,X22) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ! [X4] :
                        ( ! [X5] :
                            ( ~ strictorderedP(X0)
                            | ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( lt(X8,X6)
                                            & app(X9,cons(X8,nil)) = X0
                                            & ssList(X9) )
                                        & ssItem(X8) )
                                    & app(cons(X6,nil),X7) = X5
                                    & ssList(X7) )
                                & ssItem(X6) )
                            | ? [X10] :
                                ( ? [X11] :
                                    ( ? [X12] :
                                        ( ? [X13] :
                                            ( lt(X10,X12)
                                            & app(cons(X12,nil),X13) = X0
                                            & ssList(X13) )
                                        & ssItem(X12) )
                                    & app(X11,cons(X10,nil)) = X4
                                    & ssList(X11) )
                                & ssItem(X10) )
                            | app(app(X4,X0),X5) != X1
                            | ~ ssList(X5) )
                        | ~ ssList(X4) ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X14] :
                      ( ? [X15] :
                          ( ! [X16] :
                              ( ! [X17] :
                                  ( ! [X18] :
                                      ( ! [X19] :
                                          ( ~ lt(X18,X16)
                                          | app(X19,cons(X18,nil)) != X2
                                          | ~ ssList(X19) )
                                      | ~ ssItem(X18) )
                                  | app(cons(X16,nil),X17) != X15
                                  | ~ ssList(X17) )
                              | ~ ssItem(X16) )
                          & ! [X20] :
                              ( ! [X21] :
                                  ( ! [X22] :
                                      ( ! [X23] :
                                          ( ~ lt(X20,X22)
                                          | app(cons(X22,nil),X23) != X2
                                          | ~ ssList(X23) )
                                      | ~ ssItem(X22) )
                                  | app(X21,cons(X20,nil)) != X14
                                  | ~ ssList(X21) )
                              | ~ ssItem(X20) )
                          & strictorderedP(X2)
                          & app(app(X14,X2),X15) = X3
                          & ssList(X15) )
                      & ssList(X14) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ! [X4] :
                        ( ! [X5] :
                            ( ~ strictorderedP(X0)
                            | ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( lt(X8,X6)
                                            & app(X9,cons(X8,nil)) = X0
                                            & ssList(X9) )
                                        & ssItem(X8) )
                                    & app(cons(X6,nil),X7) = X5
                                    & ssList(X7) )
                                & ssItem(X6) )
                            | ? [X10] :
                                ( ? [X11] :
                                    ( ? [X12] :
                                        ( ? [X13] :
                                            ( lt(X10,X12)
                                            & app(cons(X12,nil),X13) = X0
                                            & ssList(X13) )
                                        & ssItem(X12) )
                                    & app(X11,cons(X10,nil)) = X4
                                    & ssList(X11) )
                                & ssItem(X10) )
                            | app(app(X4,X0),X5) != X1
                            | ~ ssList(X5) )
                        | ~ ssList(X4) ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X14] :
                      ( ? [X15] :
                          ( ! [X16] :
                              ( ! [X17] :
                                  ( ! [X18] :
                                      ( ! [X19] :
                                          ( ~ lt(X18,X16)
                                          | app(X19,cons(X18,nil)) != X2
                                          | ~ ssList(X19) )
                                      | ~ ssItem(X18) )
                                  | app(cons(X16,nil),X17) != X15
                                  | ~ ssList(X17) )
                              | ~ ssItem(X16) )
                          & ! [X20] :
                              ( ! [X21] :
                                  ( ! [X22] :
                                      ( ! [X23] :
                                          ( ~ lt(X20,X22)
                                          | app(cons(X22,nil),X23) != X2
                                          | ~ ssList(X23) )
                                      | ~ ssItem(X22) )
                                  | app(X21,cons(X20,nil)) != X14
                                  | ~ ssList(X21) )
                              | ~ ssItem(X20) )
                          & strictorderedP(X2)
                          & app(app(X14,X2),X15) = X3
                          & ssList(X15) )
                      & ssList(X14) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ? [X4] :
                            ( ? [X5] :
                                ( strictorderedP(X0)
                                & ! [X6] :
                                    ( ssItem(X6)
                                   => ! [X7] :
                                        ( ssList(X7)
                                       => ( ! [X8] :
                                              ( ssItem(X8)
                                             => ! [X9] :
                                                  ( ssList(X9)
                                                 => ( ~ lt(X8,X6)
                                                    | app(X9,cons(X8,nil)) != X0 ) ) )
                                          | app(cons(X6,nil),X7) != X5 ) ) )
                                & ! [X10] :
                                    ( ssItem(X10)
                                   => ! [X11] :
                                        ( ssList(X11)
                                       => ( ! [X12] :
                                              ( ssItem(X12)
                                             => ! [X13] :
                                                  ( ssList(X13)
                                                 => ( ~ lt(X10,X12)
                                                    | app(cons(X12,nil),X13) != X0 ) ) )
                                          | app(X11,cons(X10,nil)) != X4 ) ) )
                                & app(app(X4,X0),X5) = X1
                                & ssList(X5) )
                            & ssList(X4) ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X14] :
                          ( ssList(X14)
                         => ! [X15] :
                              ( ssList(X15)
                             => ( ? [X16] :
                                    ( ? [X17] :
                                        ( ? [X18] :
                                            ( ? [X19] :
                                                ( lt(X18,X16)
                                                & app(X19,cons(X18,nil)) = X2
                                                & ssList(X19) )
                                            & ssItem(X18) )
                                        & app(cons(X16,nil),X17) = X15
                                        & ssList(X17) )
                                    & ssItem(X16) )
                                | ? [X20] :
                                    ( ? [X21] :
                                        ( ? [X22] :
                                            ( ? [X23] :
                                                ( lt(X20,X22)
                                                & app(cons(X22,nil),X23) = X2
                                                & ssList(X23) )
                                            & ssItem(X22) )
                                        & app(X21,cons(X20,nil)) = X14
                                        & ssList(X21) )
                                    & ssItem(X20) )
                                | ~ strictorderedP(X2)
                                | app(app(X14,X2),X15) != X3 ) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ? [X14] :
                            ( ? [X15] :
                                ( strictorderedP(X0)
                                & ! [X20] :
                                    ( ssItem(X20)
                                   => ! [X21] :
                                        ( ssList(X21)
                                       => ( ! [X22] :
                                              ( ssItem(X22)
                                             => ! [X23] :
                                                  ( ssList(X23)
                                                 => ( ~ lt(X22,X20)
                                                    | app(X23,cons(X22,nil)) != X0 ) ) )
                                          | app(cons(X20,nil),X21) != X15 ) ) )
                                & ! [X16] :
                                    ( ssItem(X16)
                                   => ! [X17] :
                                        ( ssList(X17)
                                       => ( ! [X18] :
                                              ( ssItem(X18)
                                             => ! [X19] :
                                                  ( ssList(X19)
                                                 => ( ~ lt(X16,X18)
                                                    | app(cons(X18,nil),X19) != X0 ) ) )
                                          | app(X17,cons(X16,nil)) != X14 ) ) )
                                & app(app(X14,X0),X15) = X1
                                & ssList(X15) )
                            & ssList(X14) ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X10] :
                                    ( ? [X11] :
                                        ( ? [X12] :
                                            ( ? [X13] :
                                                ( lt(X12,X10)
                                                & app(X13,cons(X12,nil)) = X2
                                                & ssList(X13) )
                                            & ssItem(X12) )
                                        & app(cons(X10,nil),X11) = X5
                                        & ssList(X11) )
                                    & ssItem(X10) )
                                | ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( ? [X9] :
                                                ( lt(X6,X8)
                                                & app(cons(X8,nil),X9) = X2
                                                & ssList(X9) )
                                            & ssItem(X8) )
                                        & app(X7,cons(X6,nil)) = X4
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ~ strictorderedP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ? [X14] :
                          ( ? [X15] :
                              ( strictorderedP(X0)
                              & ! [X20] :
                                  ( ssItem(X20)
                                 => ! [X21] :
                                      ( ssList(X21)
                                     => ( ! [X22] :
                                            ( ssItem(X22)
                                           => ! [X23] :
                                                ( ssList(X23)
                                               => ( ~ lt(X22,X20)
                                                  | app(X23,cons(X22,nil)) != X0 ) ) )
                                        | app(cons(X20,nil),X21) != X15 ) ) )
                              & ! [X16] :
                                  ( ssItem(X16)
                                 => ! [X17] :
                                      ( ssList(X17)
                                     => ( ! [X18] :
                                            ( ssItem(X18)
                                           => ! [X19] :
                                                ( ssList(X19)
                                               => ( ~ lt(X16,X18)
                                                  | app(cons(X18,nil),X19) != X0 ) ) )
                                        | app(X17,cons(X16,nil)) != X14 ) ) )
                              & app(app(X14,X0),X15) = X1
                              & ssList(X15) )
                          & ssList(X14) ) )
                    | ( nil = X2
                      & nil != X3 )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( ? [X10] :
                                  ( ? [X11] :
                                      ( ? [X12] :
                                          ( ? [X13] :
                                              ( lt(X12,X10)
                                              & app(X13,cons(X12,nil)) = X2
                                              & ssList(X13) )
                                          & ssItem(X12) )
                                      & app(cons(X10,nil),X11) = X5
                                      & ssList(X11) )
                                  & ssItem(X10) )
                              | ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( ? [X9] :
                                              ( lt(X6,X8)
                                              & app(cons(X8,nil),X9) = X2
                                              & ssList(X9) )
                                          & ssItem(X8) )
                                      & app(X7,cons(X6,nil)) = X4
                                      & ssList(X7) )
                                  & ssItem(X6) )
                              | ~ strictorderedP(X2)
                              | app(app(X4,X2),X5) != X3 ) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.86jRzil78v/Vampire---4.8_25998',co1) ).

fof(f625,plain,
    ( spl46_28
    | spl46_14 ),
    inference(avatar_split_clause,[],[f530,f492,f586]) ).

fof(f586,plain,
    ( spl46_28
  <=> lt(sK12(sK2,sK7(sK5)),sK7(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_28])]) ).

fof(f492,plain,
    ( spl46_14
  <=> sP8(sK7(sK5),sK5,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_14])]) ).

fof(f530,plain,
    ( lt(sK12(sK2,sK7(sK5)),sK7(sK5))
    | spl46_14 ),
    inference(resolution,[],[f494,f364]) ).

fof(f364,plain,
    ! [X0,X6,X5] :
      ( lt(sK12(X0,X6),X6)
      | sP8(X6,X5,X0) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f182,plain,
    ! [X0,X6,X5] :
      ( lt(sK12(X0,X6),X6)
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f494,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | spl46_14 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f624,plain,
    ( spl46_27
    | spl46_14 ),
    inference(avatar_split_clause,[],[f531,f492,f582]) ).

fof(f582,plain,
    ( spl46_27
  <=> ssList(sK14(sK2,sK7(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_27])]) ).

fof(f531,plain,
    ( ssList(sK14(sK2,sK7(sK5)))
    | spl46_14 ),
    inference(resolution,[],[f494,f366]) ).

fof(f366,plain,
    ! [X0,X6,X5] :
      ( sP8(X6,X5,X0)
      | ssList(sK14(X0,X6)) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f180,plain,
    ! [X0,X6,X5] :
      ( ssList(sK14(X0,X6))
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f623,plain,
    ( spl46_26
    | spl46_14 ),
    inference(avatar_split_clause,[],[f532,f492,f578]) ).

fof(f578,plain,
    ( spl46_26
  <=> ssItem(sK12(sK2,sK7(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_26])]) ).

fof(f532,plain,
    ( ssItem(sK12(sK2,sK7(sK5)))
    | spl46_14 ),
    inference(resolution,[],[f494,f357]) ).

fof(f357,plain,
    ! [X0,X6,X5] :
      ( sP8(X6,X5,X0)
      | ssItem(sK12(X0,X6)) ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f189,plain,
    ! [X0,X6,X5] :
      ( ssItem(sK12(X0,X6))
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f622,plain,
    ( spl46_20
    | spl46_14 ),
    inference(avatar_split_clause,[],[f533,f492,f542]) ).

fof(f542,plain,
    ( spl46_20
  <=> ssItem(sK7(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_20])]) ).

fof(f533,plain,
    ( ssItem(sK7(sK5))
    | spl46_14 ),
    inference(resolution,[],[f494,f348]) ).

fof(f348,plain,
    ! [X0,X6,X5] :
      ( sP8(X6,X5,X0)
      | ssItem(X6) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f200,plain,
    ! [X0,X6,X5] :
      ( ssItem(X6)
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f618,plain,
    ( ~ spl46_26
    | ~ spl46_27
    | ~ spl46_28
    | spl46_14
    | ~ spl46_23 ),
    inference(avatar_split_clause,[],[f616,f554,f492,f586,f582,f578]) ).

fof(f554,plain,
    ( spl46_23
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ lt(X0,sK7(sK5))
        | ~ ssList(X1)
        | sK2 != app(X1,cons(X0,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_23])]) ).

fof(f616,plain,
    ( ~ lt(sK12(sK2,sK7(sK5)),sK7(sK5))
    | ~ ssList(sK14(sK2,sK7(sK5)))
    | ~ ssItem(sK12(sK2,sK7(sK5)))
    | spl46_14
    | ~ spl46_23 ),
    inference(trivial_inequality_removal,[],[f575]) ).

fof(f575,plain,
    ( sK2 != sK2
    | ~ lt(sK12(sK2,sK7(sK5)),sK7(sK5))
    | ~ ssList(sK14(sK2,sK7(sK5)))
    | ~ ssItem(sK12(sK2,sK7(sK5)))
    | spl46_14
    | ~ spl46_23 ),
    inference(superposition,[],[f555,f528]) ).

fof(f528,plain,
    ( sK2 = app(sK14(sK2,sK7(sK5)),cons(sK12(sK2,sK7(sK5)),nil))
    | spl46_14 ),
    inference(resolution,[],[f494,f365]) ).

fof(f365,plain,
    ! [X0,X6,X5] :
      ( sP8(X6,X5,X0)
      | app(sK14(X0,X6),cons(sK12(X0,X6),nil)) = X0 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f181,plain,
    ! [X0,X6,X5] :
      ( app(sK14(X0,X6),cons(sK12(X0,X6),nil)) = X0
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f555,plain,
    ( ! [X0,X1] :
        ( sK2 != app(X1,cons(X0,nil))
        | ~ lt(X0,sK7(sK5))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl46_23 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f574,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_25
    | ~ spl46_14
    | ~ spl46_9 ),
    inference(avatar_split_clause,[],[f569,f465,f492,f571,f484,f480]) ).

fof(f480,plain,
    ( spl46_11
  <=> ssList(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_11])]) ).

fof(f484,plain,
    ( spl46_12
  <=> ssList(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_12])]) ).

fof(f465,plain,
    ( spl46_9
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | sK2 = app(cons(sK11(X4),nil),sK13(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_9])]) ).

fof(f569,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | sK2 = app(cons(sK11(sK4),nil),sK13(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_9 ),
    inference(trivial_inequality_removal,[],[f568]) ).

fof(f568,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | sK2 = app(cons(sK11(sK4),nil),sK13(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_9 ),
    inference(superposition,[],[f466,f204]) ).

fof(f204,plain,
    sK3 = app(app(sK4,sK2),sK5),
    inference(cnf_transformation,[],[f100]) ).

fof(f466,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | sK2 = app(cons(sK11(X4),nil),sK13(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_9 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f567,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_24
    | ~ spl46_14
    | ~ spl46_5 ),
    inference(avatar_split_clause,[],[f562,f446,f492,f564,f484,f480]) ).

fof(f446,plain,
    ( spl46_5
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | app(sK9(X4),cons(sK6(X4),nil)) = X4
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_5])]) ).

fof(f562,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | sK4 = app(sK9(sK4),cons(sK6(sK4),nil))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_5 ),
    inference(trivial_inequality_removal,[],[f561]) ).

fof(f561,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | sK4 = app(sK9(sK4),cons(sK6(sK4),nil))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_5 ),
    inference(superposition,[],[f447,f204]) ).

fof(f447,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | app(sK9(X4),cons(sK6(X4),nil)) = X4
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_5 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f558,plain,
    ( spl46_14
    | spl46_19 ),
    inference(avatar_split_clause,[],[f557,f538,f492]) ).

fof(f538,plain,
    ( spl46_19
  <=> ssList(sK10(sK2,sK5,sK7(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_19])]) ).

fof(f557,plain,
    ( sP8(sK7(sK5),sK5,sK2)
    | spl46_19 ),
    inference(resolution,[],[f540,f354]) ).

fof(f354,plain,
    ! [X0,X6,X5] :
      ( ssList(sK10(X0,X5,X6))
      | sP8(X6,X5,X0) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f194,plain,
    ! [X0,X6,X5] :
      ( ssList(sK10(X0,X5,X6))
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f540,plain,
    ( ~ ssList(sK10(sK2,sK5,sK7(sK5)))
    | spl46_19 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f556,plain,
    ( spl46_23
    | ~ spl46_20
    | ~ spl46_19
    | spl46_14 ),
    inference(avatar_split_clause,[],[f536,f492,f538,f542,f554]) ).

fof(f536,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sK10(sK2,sK5,sK7(sK5)))
        | ~ ssItem(sK7(sK5))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | sK2 != app(X1,cons(X0,nil))
        | ~ lt(X0,sK7(sK5)) )
    | spl46_14 ),
    inference(trivial_inequality_removal,[],[f535]) ).

fof(f535,plain,
    ( ! [X0,X1] :
        ( sK5 != sK5
        | ~ ssList(sK10(sK2,sK5,sK7(sK5)))
        | ~ ssItem(sK7(sK5))
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | sK2 != app(X1,cons(X0,nil))
        | ~ lt(X0,sK7(sK5)) )
    | spl46_14 ),
    inference(superposition,[],[f190,f529]) ).

fof(f529,plain,
    ( sK5 = app(cons(sK7(sK5),nil),sK10(sK2,sK5,sK7(sK5)))
    | spl46_14 ),
    inference(resolution,[],[f494,f353]) ).

fof(f353,plain,
    ! [X0,X6,X5] :
      ( sP8(X6,X5,X0)
      | app(cons(X6,nil),sK10(X0,X5,X6)) = X5 ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f195,plain,
    ! [X0,X6,X5] :
      ( app(cons(X6,nil),sK10(X0,X5,X6)) = X5
      | ~ sP8(X6,X5,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f190,plain,
    ! [X18,X19,X16,X17] :
      ( app(cons(X16,nil),X17) != sK5
      | ~ ssList(X17)
      | ~ ssItem(X16)
      | ~ ssItem(X18)
      | ~ ssList(X19)
      | app(X19,cons(X18,nil)) != sK2
      | ~ lt(X18,X16) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f527,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_18
    | ~ spl46_14
    | ~ spl46_8 ),
    inference(avatar_split_clause,[],[f522,f461,f492,f524,f484,f480]) ).

fof(f461,plain,
    ( spl46_8
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | lt(sK6(X4),sK11(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_8])]) ).

fof(f522,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | lt(sK6(sK4),sK11(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_8 ),
    inference(trivial_inequality_removal,[],[f521]) ).

fof(f521,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | lt(sK6(sK4),sK11(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_8 ),
    inference(superposition,[],[f462,f204]) ).

fof(f462,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | lt(sK6(X4),sK11(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_8 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f520,plain,
    spl46_12,
    inference(avatar_contradiction_clause,[],[f519]) ).

fof(f519,plain,
    ( $false
    | spl46_12 ),
    inference(resolution,[],[f486,f206]) ).

fof(f206,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f100]) ).

fof(f486,plain,
    ( ~ ssList(sK4)
    | spl46_12 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f518,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_17
    | ~ spl46_14
    | ~ spl46_10 ),
    inference(avatar_split_clause,[],[f513,f469,f492,f515,f484,f480]) ).

fof(f469,plain,
    ( spl46_10
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssList(sK13(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_10])]) ).

fof(f513,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | ssList(sK13(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_10 ),
    inference(trivial_inequality_removal,[],[f512]) ).

fof(f512,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | ssList(sK13(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_10 ),
    inference(superposition,[],[f470,f204]) ).

fof(f470,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssList(sK13(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_10 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f511,plain,
    spl46_11,
    inference(avatar_contradiction_clause,[],[f510]) ).

fof(f510,plain,
    ( $false
    | spl46_11 ),
    inference(resolution,[],[f482,f203]) ).

fof(f203,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f100]) ).

fof(f482,plain,
    ( ~ ssList(sK5)
    | spl46_11 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f509,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_16
    | ~ spl46_14
    | ~ spl46_7 ),
    inference(avatar_split_clause,[],[f504,f456,f492,f506,f484,f480]) ).

fof(f456,plain,
    ( spl46_7
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssItem(sK11(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_7])]) ).

fof(f504,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | ssItem(sK11(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_7 ),
    inference(trivial_inequality_removal,[],[f503]) ).

fof(f503,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | ssItem(sK11(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_7 ),
    inference(superposition,[],[f457,f204]) ).

fof(f457,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssItem(sK11(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_7 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f502,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_15
    | ~ spl46_14
    | ~ spl46_6 ),
    inference(avatar_split_clause,[],[f497,f450,f492,f499,f484,f480]) ).

fof(f450,plain,
    ( spl46_6
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssList(sK9(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_6])]) ).

fof(f497,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | ssList(sK9(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_6 ),
    inference(trivial_inequality_removal,[],[f496]) ).

fof(f496,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | ssList(sK9(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_6 ),
    inference(superposition,[],[f451,f204]) ).

fof(f451,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssList(sK9(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_6 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f495,plain,
    ( ~ spl46_11
    | ~ spl46_12
    | spl46_13
    | ~ spl46_14
    | ~ spl46_4 ),
    inference(avatar_split_clause,[],[f478,f441,f492,f488,f484,f480]) ).

fof(f441,plain,
    ( spl46_4
  <=> ! [X4,X5] :
        ( ~ ssList(X4)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssItem(sK6(X4))
        | sK3 != app(app(X4,sK2),X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_4])]) ).

fof(f478,plain,
    ( ~ sP8(sK7(sK5),sK5,sK2)
    | ssItem(sK6(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_4 ),
    inference(trivial_inequality_removal,[],[f477]) ).

fof(f477,plain,
    ( sK3 != sK3
    | ~ sP8(sK7(sK5),sK5,sK2)
    | ssItem(sK6(sK4))
    | ~ ssList(sK4)
    | ~ ssList(sK5)
    | ~ spl46_4 ),
    inference(superposition,[],[f442,f204]) ).

fof(f442,plain,
    ( ! [X4,X5] :
        ( sK3 != app(app(X4,sK2),X5)
        | ~ sP8(sK7(X5),X5,sK2)
        | ssItem(sK6(X4))
        | ~ ssList(X4)
        | ~ ssList(X5) )
    | ~ spl46_4 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f476,plain,
    spl46_3,
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | spl46_3 ),
    inference(resolution,[],[f439,f205]) ).

fof(f205,plain,
    strictorderedP(sK2),
    inference(cnf_transformation,[],[f100]) ).

fof(f439,plain,
    ( ~ strictorderedP(sK2)
    | spl46_3 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f437,plain,
    ( spl46_3
  <=> strictorderedP(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_3])]) ).

fof(f474,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_10 ),
    inference(avatar_split_clause,[],[f363,f469,f437,f428]) ).

fof(f428,plain,
    ( spl46_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_1])]) ).

fof(f363,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK13(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f345]) ).

fof(f345,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK13(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f183,f209,f210,f210,f210,f210]) ).

fof(f210,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f100]) ).

fof(f209,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f100]) ).

fof(f183,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssList(sK13(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f473,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_9 ),
    inference(avatar_split_clause,[],[f362,f465,f437,f428]) ).

fof(f362,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | sK2 = app(cons(sK11(X4),nil),sK13(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f344]) ).

fof(f344,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | sK2 = app(cons(sK11(X4),nil),sK13(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f184,f209,f210,f210,f210,f210,f210]) ).

fof(f184,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | sK0 = app(cons(sK11(X4),nil),sK13(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f472,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_8 ),
    inference(avatar_split_clause,[],[f361,f461,f437,f428]) ).

fof(f361,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | lt(sK6(X4),sK11(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f343]) ).

fof(f343,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | lt(sK6(X4),sK11(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f185,f209,f210,f210,f210,f210]) ).

fof(f185,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | lt(sK6(X4),sK11(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f471,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_10 ),
    inference(avatar_split_clause,[],[f360,f469,f437,f432]) ).

fof(f432,plain,
    ( spl46_2
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_2])]) ).

fof(f360,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK13(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f342]) ).

fof(f342,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK13(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f186,f209,f210,f210,f210,f209]) ).

fof(f186,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssList(sK13(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f467,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_9 ),
    inference(avatar_split_clause,[],[f359,f465,f437,f432]) ).

fof(f359,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | sK2 = app(cons(sK11(X4),nil),sK13(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f341]) ).

fof(f341,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | sK2 = app(cons(sK11(X4),nil),sK13(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f187,f209,f210,f210,f210,f210,f209]) ).

fof(f187,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | sK0 = app(cons(sK11(X4),nil),sK13(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f463,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_8 ),
    inference(avatar_split_clause,[],[f358,f461,f437,f432]) ).

fof(f358,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | lt(sK6(X4),sK11(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f340]) ).

fof(f340,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | lt(sK6(X4),sK11(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f188,f209,f210,f210,f210,f209]) ).

fof(f188,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | lt(sK6(X4),sK11(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f459,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_7 ),
    inference(avatar_split_clause,[],[f356,f456,f437,f432]) ).

fof(f356,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK11(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f339]) ).

fof(f339,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK11(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f192,f209,f210,f210,f210,f209]) ).

fof(f192,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssItem(sK11(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f458,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_7 ),
    inference(avatar_split_clause,[],[f355,f456,f437,f428]) ).

fof(f355,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK11(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f338]) ).

fof(f338,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK11(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f193,f209,f210,f210,f210,f210]) ).

fof(f193,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssItem(sK11(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f454,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_6 ),
    inference(avatar_split_clause,[],[f352,f450,f437,f428]) ).

fof(f352,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK9(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f337]) ).

fof(f337,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK9(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f196,f209,f210,f210,f210,f210]) ).

fof(f196,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssList(sK9(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f453,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_5 ),
    inference(avatar_split_clause,[],[f351,f446,f437,f428]) ).

fof(f351,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f336]) ).

fof(f336,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f197,f209,f210,f210,f210,f210]) ).

fof(f197,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f452,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_6 ),
    inference(avatar_split_clause,[],[f350,f450,f437,f432]) ).

fof(f350,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK9(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f335]) ).

fof(f335,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssList(sK9(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f198,f209,f210,f210,f210,f209]) ).

fof(f198,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssList(sK9(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f448,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_5 ),
    inference(avatar_split_clause,[],[f349,f446,f437,f432]) ).

fof(f349,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f334]) ).

fof(f334,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f199,f209,f210,f210,f210,f209]) ).

fof(f199,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | app(sK9(X4),cons(sK6(X4),nil)) = X4
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f444,plain,
    ( ~ spl46_2
    | ~ spl46_3
    | spl46_4 ),
    inference(avatar_split_clause,[],[f347,f441,f437,f432]) ).

fof(f347,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK6(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(consistent_polarity_flipping,[],[f333]) ).

fof(f333,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK6(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil != sK3 ),
    inference(definition_unfolding,[],[f201,f209,f210,f210,f210,f209]) ).

fof(f201,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssItem(sK6(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil != sK1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f443,plain,
    ( spl46_1
    | ~ spl46_3
    | spl46_4 ),
    inference(avatar_split_clause,[],[f346,f441,f437,f428]) ).

fof(f346,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK6(X4))
      | ~ sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(consistent_polarity_flipping,[],[f332]) ).

fof(f332,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK3 != app(app(X4,sK2),X5)
      | ssItem(sK6(X4))
      | sP8(sK7(X5),X5,sK2)
      | ~ strictorderedP(sK2)
      | nil = sK2 ),
    inference(definition_unfolding,[],[f202,f209,f210,f210,f210,f210]) ).

fof(f202,plain,
    ! [X4,X5] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | sK1 != app(app(X4,sK0),X5)
      | ssItem(sK6(X4))
      | sP8(sK7(X5),X5,sK0)
      | ~ strictorderedP(sK0)
      | nil = sK0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f435,plain,
    ( ~ spl46_1
    | spl46_2 ),
    inference(avatar_split_clause,[],[f207,f432,f428]) ).

fof(f207,plain,
    ( nil = sK3
    | nil != sK2 ),
    inference(cnf_transformation,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:28:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.86jRzil78v/Vampire---4.8_25998
% 0.61/0.80  % (26113)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (26110)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (26111)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.80  % (26114)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.80  % (26116)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.80  % (26115)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (26117)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.80  % (26112)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (26113)Instruction limit reached!
% 0.61/0.81  % (26113)------------------------------
% 0.61/0.81  % (26113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (26113)Termination reason: Unknown
% 0.61/0.81  % (26113)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (26113)Memory used [KB]: 1659
% 0.61/0.81  % (26113)Time elapsed: 0.017 s
% 0.61/0.81  % (26113)Instructions burned: 33 (million)
% 0.61/0.81  % (26113)------------------------------
% 0.61/0.81  % (26113)------------------------------
% 0.61/0.82  % (26114)Instruction limit reached!
% 0.61/0.82  % (26114)------------------------------
% 0.61/0.82  % (26114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (26114)Termination reason: Unknown
% 0.61/0.82  % (26114)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (26114)Memory used [KB]: 2008
% 0.61/0.82  % (26114)Time elapsed: 0.019 s
% 0.61/0.82  % (26114)Instructions burned: 35 (million)
% 0.61/0.82  % (26114)------------------------------
% 0.61/0.82  % (26114)------------------------------
% 0.61/0.82  % (26110)Instruction limit reached!
% 0.61/0.82  % (26110)------------------------------
% 0.61/0.82  % (26110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (26110)Termination reason: Unknown
% 0.61/0.82  % (26110)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (26110)Memory used [KB]: 1464
% 0.61/0.82  % (26110)Time elapsed: 0.020 s
% 0.61/0.82  % (26110)Instructions burned: 34 (million)
% 0.61/0.82  % (26110)------------------------------
% 0.61/0.82  % (26110)------------------------------
% 0.61/0.82  % (26118)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.82  % (26119)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.82  % (26120)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.82  % (26115)Instruction limit reached!
% 0.61/0.82  % (26115)------------------------------
% 0.61/0.82  % (26115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (26115)Termination reason: Unknown
% 0.61/0.82  % (26115)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (26115)Memory used [KB]: 1614
% 0.61/0.82  % (26115)Time elapsed: 0.024 s
% 0.61/0.82  % (26115)Instructions burned: 46 (million)
% 0.61/0.82  % (26115)------------------------------
% 0.61/0.82  % (26115)------------------------------
% 0.61/0.82  % (26111)Instruction limit reached!
% 0.61/0.82  % (26111)------------------------------
% 0.61/0.82  % (26111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (26111)Termination reason: Unknown
% 0.61/0.82  % (26111)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (26111)Memory used [KB]: 2091
% 0.61/0.82  % (26111)Time elapsed: 0.028 s
% 0.61/0.82  % (26111)Instructions burned: 52 (million)
% 0.61/0.82  % (26111)------------------------------
% 0.61/0.82  % (26111)------------------------------
% 0.61/0.83  % (26121)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.83  % (26117)Instruction limit reached!
% 0.61/0.83  % (26117)------------------------------
% 0.61/0.83  % (26117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (26117)Termination reason: Unknown
% 0.61/0.83  % (26117)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (26117)Memory used [KB]: 1791
% 0.61/0.83  % (26117)Time elapsed: 0.030 s
% 0.61/0.83  % (26117)Instructions burned: 57 (million)
% 0.61/0.83  % (26117)------------------------------
% 0.61/0.83  % (26117)------------------------------
% 0.61/0.83  % (26122)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.83  % (26123)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.83  % (26116)Instruction limit reached!
% 0.61/0.83  % (26116)------------------------------
% 0.61/0.83  % (26116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (26116)Termination reason: Unknown
% 0.61/0.83  % (26116)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (26116)Memory used [KB]: 2120
% 0.61/0.83  % (26116)Time elapsed: 0.036 s
% 0.61/0.83  % (26116)Instructions burned: 84 (million)
% 0.61/0.83  % (26116)------------------------------
% 0.61/0.83  % (26116)------------------------------
% 0.61/0.84  % (26124)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.84  % (26118)Instruction limit reached!
% 0.61/0.84  % (26118)------------------------------
% 0.61/0.84  % (26118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (26118)Termination reason: Unknown
% 0.61/0.84  % (26118)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (26118)Memory used [KB]: 1884
% 0.61/0.84  % (26118)Time elapsed: 0.025 s
% 0.61/0.84  % (26118)Instructions burned: 56 (million)
% 0.61/0.84  % (26118)------------------------------
% 0.61/0.84  % (26118)------------------------------
% 0.61/0.84  % (26112)Instruction limit reached!
% 0.61/0.84  % (26112)------------------------------
% 0.61/0.84  % (26112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (26119)Instruction limit reached!
% 0.61/0.84  % (26119)------------------------------
% 0.61/0.84  % (26119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (26119)Termination reason: Unknown
% 0.61/0.84  % (26119)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (26119)Memory used [KB]: 1944
% 0.61/0.84  % (26119)Time elapsed: 0.024 s
% 0.61/0.84  % (26119)Instructions burned: 50 (million)
% 0.61/0.84  % (26119)------------------------------
% 0.61/0.84  % (26119)------------------------------
% 0.61/0.84  % (26112)Termination reason: Unknown
% 0.61/0.84  % (26112)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (26112)Memory used [KB]: 1930
% 0.61/0.84  % (26112)Time elapsed: 0.044 s
% 0.61/0.84  % (26112)Instructions burned: 78 (million)
% 0.61/0.84  % (26112)------------------------------
% 0.61/0.84  % (26112)------------------------------
% 0.61/0.84  % (26125)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.85  % (26127)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.85  % (26126)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.85  % (26123)Instruction limit reached!
% 0.61/0.85  % (26123)------------------------------
% 0.61/0.85  % (26123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (26123)Termination reason: Unknown
% 0.61/0.85  % (26123)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (26123)Memory used [KB]: 2302
% 0.61/0.85  % (26123)Time elapsed: 0.022 s
% 0.61/0.85  % (26123)Instructions burned: 43 (million)
% 0.61/0.85  % (26123)------------------------------
% 0.61/0.85  % (26123)------------------------------
% 0.61/0.85  % (26121)Instruction limit reached!
% 0.61/0.85  % (26121)------------------------------
% 0.61/0.85  % (26121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (26121)Termination reason: Unknown
% 0.61/0.85  % (26121)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (26121)Memory used [KB]: 1952
% 0.61/0.85  % (26121)Time elapsed: 0.032 s
% 0.61/0.85  % (26121)Instructions burned: 53 (million)
% 0.61/0.85  % (26121)------------------------------
% 0.61/0.85  % (26121)------------------------------
% 0.61/0.86  % (26128)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.86  % (26129)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.95/0.87  % (26129)Instruction limit reached!
% 0.95/0.87  % (26129)------------------------------
% 0.95/0.87  % (26129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.87  % (26129)Termination reason: Unknown
% 0.95/0.87  % (26129)Termination phase: Saturation
% 0.95/0.87  
% 0.95/0.87  % (26129)Memory used [KB]: 1531
% 0.95/0.87  % (26129)Time elapsed: 0.018 s
% 0.95/0.87  % (26129)Instructions burned: 32 (million)
% 0.95/0.87  % (26129)------------------------------
% 0.95/0.87  % (26129)------------------------------
% 0.95/0.88  % (26130)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.95/0.88  % (26128)Instruction limit reached!
% 0.95/0.88  % (26128)------------------------------
% 0.95/0.88  % (26128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.89  % (26128)Termination reason: Unknown
% 0.95/0.89  % (26128)Termination phase: Saturation
% 0.95/0.89  
% 0.95/0.89  % (26128)Memory used [KB]: 2091
% 0.95/0.89  % (26128)Time elapsed: 0.031 s
% 0.95/0.89  % (26128)Instructions burned: 62 (million)
% 0.95/0.89  % (26128)------------------------------
% 0.95/0.89  % (26128)------------------------------
% 0.95/0.89  % (26131)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2994ds/55Mi)
% 0.95/0.89  % (26125)Instruction limit reached!
% 0.95/0.89  % (26125)------------------------------
% 0.95/0.89  % (26125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.89  % (26125)Termination reason: Unknown
% 0.95/0.89  % (26125)Termination phase: Saturation
% 0.95/0.89  
% 0.95/0.89  % (26125)Memory used [KB]: 1887
% 0.95/0.89  % (26125)Time elapsed: 0.047 s
% 0.95/0.89  % (26125)Instructions burned: 117 (million)
% 0.95/0.89  % (26125)------------------------------
% 0.95/0.89  % (26125)------------------------------
% 0.95/0.89  % (26132)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2994ds/53Mi)
% 0.95/0.90  % (26127)Instruction limit reached!
% 0.95/0.90  % (26127)------------------------------
% 0.95/0.90  % (26127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.90  % (26127)Termination reason: Unknown
% 0.95/0.90  % (26127)Termination phase: Saturation
% 0.95/0.90  
% 0.95/0.90  % (26127)Memory used [KB]: 2757
% 0.95/0.90  % (26127)Time elapsed: 0.052 s
% 0.95/0.90  % (26127)Instructions burned: 94 (million)
% 0.95/0.90  % (26127)------------------------------
% 0.95/0.90  % (26127)------------------------------
% 0.95/0.90  % (26133)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.10/0.91  % (26126)Instruction limit reached!
% 1.10/0.91  % (26126)------------------------------
% 1.10/0.91  % (26126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.91  % (26126)Termination reason: Unknown
% 1.10/0.91  % (26126)Termination phase: Saturation
% 1.10/0.91  
% 1.10/0.91  % (26126)Memory used [KB]: 2469
% 1.10/0.91  % (26126)Time elapsed: 0.071 s
% 1.10/0.91  % (26126)Instructions burned: 143 (million)
% 1.10/0.91  % (26126)------------------------------
% 1.10/0.91  % (26126)------------------------------
% 1.10/0.92  % (26131)Instruction limit reached!
% 1.10/0.92  % (26131)------------------------------
% 1.10/0.92  % (26131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.92  % (26131)Termination reason: Unknown
% 1.10/0.92  % (26131)Termination phase: Saturation
% 1.10/0.92  
% 1.10/0.92  % (26131)Memory used [KB]: 2246
% 1.10/0.92  % (26131)Time elapsed: 0.028 s
% 1.10/0.92  % (26131)Instructions burned: 55 (million)
% 1.10/0.92  % (26131)------------------------------
% 1.10/0.92  % (26131)------------------------------
% 1.10/0.92  % (26132)Instruction limit reached!
% 1.10/0.92  % (26132)------------------------------
% 1.10/0.92  % (26132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.92  % (26132)Termination reason: Unknown
% 1.10/0.92  % (26132)Termination phase: Saturation
% 1.10/0.92  
% 1.10/0.92  % (26132)Memory used [KB]: 2000
% 1.10/0.92  % (26132)Time elapsed: 0.025 s
% 1.10/0.92  % (26132)Instructions burned: 55 (million)
% 1.10/0.92  % (26132)------------------------------
% 1.10/0.92  % (26132)------------------------------
% 1.10/0.92  % (26134)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.10/0.92  % (26136)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.10/0.92  % (26135)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.10/0.92  % (26133)Instruction limit reached!
% 1.10/0.92  % (26133)------------------------------
% 1.10/0.92  % (26133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.92  % (26133)Termination reason: Unknown
% 1.10/0.92  % (26133)Termination phase: Saturation
% 1.10/0.92  
% 1.10/0.92  % (26133)Memory used [KB]: 2267
% 1.10/0.92  % (26133)Time elapsed: 0.027 s
% 1.10/0.92  % (26133)Instructions burned: 46 (million)
% 1.10/0.92  % (26133)------------------------------
% 1.10/0.92  % (26133)------------------------------
% 1.10/0.93  % (26120)Instruction limit reached!
% 1.10/0.93  % (26120)------------------------------
% 1.10/0.93  % (26120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.10/0.93  % (26120)Termination reason: Unknown
% 1.10/0.93  % (26120)Termination phase: Saturation
% 1.10/0.93  
% 1.10/0.93  % (26120)Memory used [KB]: 2664
% 1.10/0.93  % (26120)Time elapsed: 0.107 s
% 1.10/0.93  % (26120)Instructions burned: 209 (million)
% 1.10/0.93  % (26120)------------------------------
% 1.10/0.93  % (26120)------------------------------
% 1.37/0.93  % (26137)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.37/0.93  % (26138)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.37/0.93  % (26138)Refutation not found, incomplete strategy% (26138)------------------------------
% 1.37/0.93  % (26138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.93  % (26138)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.93  
% 1.37/0.93  % (26138)Memory used [KB]: 1295
% 1.37/0.93  % (26138)Time elapsed: 0.006 s
% 1.37/0.93  % (26138)Instructions burned: 8 (million)
% 1.37/0.93  % (26138)------------------------------
% 1.37/0.93  % (26138)------------------------------
% 1.37/0.94  % (26135)Instruction limit reached!
% 1.37/0.94  % (26135)------------------------------
% 1.37/0.94  % (26135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.94  % (26135)Termination reason: Unknown
% 1.37/0.94  % (26135)Termination phase: Saturation
% 1.37/0.94  
% 1.37/0.94  % (26135)Memory used [KB]: 1603
% 1.37/0.94  % (26135)Time elapsed: 0.017 s
% 1.37/0.94  % (26135)Instructions burned: 36 (million)
% 1.37/0.94  % (26135)------------------------------
% 1.37/0.94  % (26135)------------------------------
% 1.37/0.94  % (26139)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.37/0.94  % (26140)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.37/0.94  % (26124)Instruction limit reached!
% 1.37/0.94  % (26124)------------------------------
% 1.37/0.94  % (26124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.94  % (26124)Termination reason: Unknown
% 1.37/0.94  % (26124)Termination phase: Saturation
% 1.37/0.94  
% 1.37/0.94  % (26124)Memory used [KB]: 2018
% 1.37/0.94  % (26124)Time elapsed: 0.104 s
% 1.37/0.94  % (26124)Instructions burned: 243 (million)
% 1.37/0.94  % (26124)------------------------------
% 1.37/0.94  % (26124)------------------------------
% 1.37/0.94  % (26141)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.37/0.96  % (26136)Instruction limit reached!
% 1.37/0.96  % (26136)------------------------------
% 1.37/0.96  % (26136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.96  % (26136)Termination reason: Unknown
% 1.37/0.96  % (26136)Termination phase: Saturation
% 1.37/0.96  
% 1.37/0.96  % (26136)Memory used [KB]: 2707
% 1.37/0.96  % (26136)Time elapsed: 0.037 s
% 1.37/0.96  % (26136)Instructions burned: 87 (million)
% 1.37/0.96  % (26136)------------------------------
% 1.37/0.96  % (26136)------------------------------
% 1.37/0.96  % (26142)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.37/0.96  % (26140)Instruction limit reached!
% 1.37/0.96  % (26140)------------------------------
% 1.37/0.96  % (26140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.96  % (26140)Termination reason: Unknown
% 1.37/0.96  % (26140)Termination phase: Saturation
% 1.37/0.96  
% 1.37/0.96  % (26140)Memory used [KB]: 1823
% 1.37/0.96  % (26140)Time elapsed: 0.024 s
% 1.37/0.96  % (26140)Instructions burned: 41 (million)
% 1.37/0.96  % (26140)------------------------------
% 1.37/0.96  % (26140)------------------------------
% 1.37/0.97  % (26143)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.37/0.97  % (26139)Instruction limit reached!
% 1.37/0.97  % (26139)------------------------------
% 1.37/0.97  % (26139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.97  % (26139)Termination reason: Unknown
% 1.37/0.97  % (26139)Termination phase: Saturation
% 1.37/0.97  
% 1.37/0.97  % (26139)Memory used [KB]: 1831
% 1.37/0.97  % (26139)Time elapsed: 0.033 s
% 1.37/0.97  % (26139)Instructions burned: 72 (million)
% 1.37/0.97  % (26139)------------------------------
% 1.37/0.97  % (26139)------------------------------
% 1.37/0.97  % (26144)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2993ds/37Mi)
% 1.37/0.98  % (26134)Instruction limit reached!
% 1.37/0.98  % (26134)------------------------------
% 1.37/0.98  % (26134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.98  % (26134)Termination reason: Unknown
% 1.37/0.98  % (26134)Termination phase: Saturation
% 1.37/0.98  
% 1.37/0.98  % (26134)Memory used [KB]: 3013
% 1.37/0.98  % (26134)Time elapsed: 0.061 s
% 1.37/0.98  % (26134)Instructions burned: 102 (million)
% 1.37/0.98  % (26134)------------------------------
% 1.37/0.98  % (26134)------------------------------
% 1.37/0.98  % (26144)First to succeed.
% 1.37/0.98  % (26145)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2993ds/55Mi)
% 1.37/0.98  % (26137)Instruction limit reached!
% 1.37/0.98  % (26137)------------------------------
% 1.37/0.98  % (26137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.98  % (26137)Termination reason: Unknown
% 1.37/0.98  % (26137)Termination phase: Saturation
% 1.37/0.98  
% 1.37/0.98  % (26137)Memory used [KB]: 2464
% 1.37/0.98  % (26137)Time elapsed: 0.057 s
% 1.37/0.98  % (26137)Instructions burned: 110 (million)
% 1.37/0.98  % (26137)------------------------------
% 1.37/0.98  % (26137)------------------------------
% 1.37/0.99  % (26144)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26108"
% 1.37/0.99  % (26144)Refutation found. Thanks to Tanya!
% 1.37/0.99  % SZS status Theorem for Vampire---4
% 1.37/0.99  % SZS output start Proof for Vampire---4
% See solution above
% 1.37/0.99  % (26144)------------------------------
% 1.37/0.99  % (26144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.37/0.99  % (26144)Termination reason: Refutation
% 1.37/0.99  
% 1.37/0.99  % (26144)Memory used [KB]: 1407
% 1.37/0.99  % (26144)Time elapsed: 0.014 s
% 1.37/0.99  % (26144)Instructions burned: 21 (million)
% 1.37/0.99  % (26108)Success in time 0.619 s
% 1.37/0.99  % Vampire---4.8 exiting
%------------------------------------------------------------------------------