TSTP Solution File: SWC307+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC307+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 : n026.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 May  1 04:01:18 EDT 2024

% Result   : Theorem 1.64s 1.05s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  274 (  31 unt;   0 def)
%            Number of atoms       : 1113 ( 234 equ)
%            Maximal formula atoms :   32 (   4 avg)
%            Number of connectives : 1287 ( 448   ~; 482   |; 263   &)
%                                         (  35 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   35 (  33 usr;  25 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  16 con; 0-2 aty)
%            Number of variables   :  300 ( 161   !; 139   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5575,plain,
    $false,
    inference(avatar_sat_refutation,[],[f631,f864,f887,f921,f929,f934,f940,f1033,f1418,f1429,f1440,f1480,f1484,f1487,f1503,f1600,f1698,f1710,f1720,f1733,f4574,f4713,f5230,f5406,f5574]) ).

fof(f5574,plain,
    ( ~ spl81_11
    | spl81_61
    | spl81_224 ),
    inference(avatar_contradiction_clause,[],[f5573]) ).

fof(f5573,plain,
    ( $false
    | ~ spl81_11
    | spl81_61
    | spl81_224 ),
    inference(subsumption_resolution,[],[f5572,f931]) ).

fof(f931,plain,
    ( ssList(sF76)
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f930,f561]) ).

fof(f561,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f352]) ).

fof(f352,plain,
    ( ( ~ neq(sK56,nil)
      | singletonP(sK55) )
    & lt(sK58,sK57)
    & sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61)
    & ssList(sK61)
    & ssList(sK60)
    & ssList(sK59)
    & ssItem(sK58)
    & ssItem(sK57)
    & segmentP(sK56,sK55)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61])],[f222,f351,f350,f349,f348,f347,f346,f345,f344,f343]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | singletonP(X2) )
                    & ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( lt(X5,X4)
                                        & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
                                        & ssList(X8) )
                                    & ssList(X7) )
                                & ssList(X6) )
                            & ssItem(X5) )
                        & ssItem(X4) )
                    & segmentP(X3,X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | singletonP(X2) )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( lt(X5,X4)
                                      & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                                      & ssList(X8) )
                                  & ssList(X7) )
                              & ssList(X6) )
                          & ssItem(X5) )
                      & ssItem(X4) )
                  & segmentP(X3,X2)
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | singletonP(X2) )
                & ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ? [X8] :
                                    ( lt(X5,X4)
                                    & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                                    & ssList(X8) )
                                & ssList(X7) )
                            & ssList(X6) )
                        & ssItem(X5) )
                    & ssItem(X4) )
                & segmentP(X3,X2)
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | singletonP(X2) )
              & ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( lt(X5,X4)
                                  & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                                  & ssList(X8) )
                              & ssList(X7) )
                          & ssList(X6) )
                      & ssItem(X5) )
                  & ssItem(X4) )
              & segmentP(X3,X2)
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | singletonP(X2) )
            & ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ? [X8] :
                                ( lt(X5,X4)
                                & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                                & ssList(X8) )
                            & ssList(X7) )
                        & ssList(X6) )
                    & ssItem(X5) )
                & ssItem(X4) )
            & segmentP(X3,X2)
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | singletonP(sK55) )
          & ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ? [X8] :
                              ( lt(X5,X4)
                              & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                              & ssList(X8) )
                          & ssList(X7) )
                      & ssList(X6) )
                  & ssItem(X5) )
              & ssItem(X4) )
          & segmentP(X3,sK55)
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | singletonP(sK55) )
        & ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ? [X8] :
                            ( lt(X5,X4)
                            & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                            & ssList(X8) )
                        & ssList(X7) )
                    & ssList(X6) )
                & ssItem(X5) )
            & ssItem(X4) )
        & segmentP(X3,sK55)
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK56,nil)
        | singletonP(sK55) )
      & ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ? [X8] :
                          ( lt(X5,X4)
                          & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                          & ssList(X8) )
                      & ssList(X7) )
                  & ssList(X6) )
              & ssItem(X5) )
          & ssItem(X4) )
      & segmentP(sK56,sK55)
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ? [X8] :
                        ( lt(X5,X4)
                        & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
                        & ssList(X8) )
                    & ssList(X7) )
                & ssList(X6) )
            & ssItem(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ? [X7] :
                  ( ? [X8] :
                      ( lt(X5,sK57)
                      & sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(X5,nil)),X8)
                      & ssList(X8) )
                  & ssList(X7) )
              & ssList(X6) )
          & ssItem(X5) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ? [X8] :
                    ( lt(X5,sK57)
                    & sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(X5,nil)),X8)
                    & ssList(X8) )
                & ssList(X7) )
            & ssList(X6) )
        & ssItem(X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ? [X8] :
                  ( lt(sK58,sK57)
                  & sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
                  & ssList(X8) )
              & ssList(X7) )
          & ssList(X6) )
      & ssItem(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ? [X8] :
                ( lt(sK58,sK57)
                & sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
                & ssList(X8) )
            & ssList(X7) )
        & ssList(X6) )
   => ( ? [X7] :
          ( ? [X8] :
              ( lt(sK58,sK57)
              & sK53 = app(app(app(app(sK59,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
              & ssList(X8) )
          & ssList(X7) )
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ? [X7] :
        ( ? [X8] :
            ( lt(sK58,sK57)
            & sK53 = app(app(app(app(sK59,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
            & ssList(X8) )
        & ssList(X7) )
   => ( ? [X8] :
          ( lt(sK58,sK57)
          & sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),X8)
          & ssList(X8) )
      & ssList(sK60) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ( ? [X8] :
        ( lt(sK58,sK57)
        & sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),X8)
        & ssList(X8) )
   => ( lt(sK58,sK57)
      & sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61)
      & ssList(sK61) ) ),
    introduced(choice_axiom,[]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | singletonP(X2) )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( lt(X5,X4)
                                      & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
                                      & ssList(X8) )
                                  & ssList(X7) )
                              & ssList(X6) )
                          & ssItem(X5) )
                      & ssItem(X4) )
                  & segmentP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | singletonP(X2) )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( lt(X5,X4)
                                      & app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
                                      & ssList(X8) )
                                  & ssList(X7) )
                              & ssList(X6) )
                          & ssItem(X5) )
                      & ssItem(X4) )
                  & segmentP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ~ singletonP(X2) )
                      | ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssItem(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ! [X7] :
                                      ( ssList(X7)
                                     => ! [X8] :
                                          ( ssList(X8)
                                         => ( ~ lt(X5,X4)
                                            | app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
                      | ~ segmentP(X3,X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( neq(X3,nil)
                      & ~ singletonP(X2) )
                    | ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( ssItem(X5)
                           => ! [X6] :
                                ( ssList(X6)
                               => ! [X7] :
                                    ( ssList(X7)
                                   => ! [X8] :
                                        ( ssList(X8)
                                       => ( ~ lt(X5,X4)
                                          | app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
                    | ~ segmentP(X3,X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',co1) ).

fof(f930,plain,
    ( ssList(sF76)
    | ~ ssList(sK59)
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f911,f788]) ).

fof(f788,plain,
    ( ssList(sF75)
    | ~ spl81_11 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl81_11
  <=> ssList(sF75) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_11])]) ).

fof(f911,plain,
    ( ssList(sF76)
    | ~ ssList(sF75)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f457,f611]) ).

fof(f611,plain,
    app(sK59,sF75) = sF76,
    introduced(function_definition,[new_symbols(definition,[sF76])]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax26) ).

fof(f5572,plain,
    ( ~ ssList(sF76)
    | spl81_61
    | spl81_224 ),
    inference(subsumption_resolution,[],[f5571,f1423]) ).

fof(f1423,plain,
    ( nil != sF76
    | spl81_61 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1422,plain,
    ( spl81_61
  <=> nil = sF76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_61])]) ).

fof(f5571,plain,
    ( nil = sF76
    | ~ ssList(sF76)
    | spl81_224 ),
    inference(resolution,[],[f5321,f455]) ).

fof(f455,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax24) ).

fof(f5321,plain,
    ( ~ ssList(tl(sF76))
    | spl81_224 ),
    inference(avatar_component_clause,[],[f5320]) ).

fof(f5320,plain,
    ( spl81_224
  <=> ssList(tl(sF76)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_224])]) ).

fof(f5406,plain,
    ( ~ spl81_224
    | ~ spl81_11
    | spl81_61
    | spl81_196 ),
    inference(avatar_split_clause,[],[f5405,f5154,f1422,f787,f5320]) ).

fof(f5154,plain,
    ( spl81_196
  <=> ssList(tl(sF77)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_196])]) ).

fof(f5405,plain,
    ( ~ ssList(tl(sF76))
    | ~ spl81_11
    | spl81_61
    | spl81_196 ),
    inference(subsumption_resolution,[],[f5404,f562]) ).

fof(f562,plain,
    ssList(sK60),
    inference(cnf_transformation,[],[f352]) ).

fof(f5404,plain,
    ( ~ ssList(sK60)
    | ~ ssList(tl(sF76))
    | ~ spl81_11
    | spl81_61
    | spl81_196 ),
    inference(subsumption_resolution,[],[f5390,f5156]) ).

fof(f5156,plain,
    ( ~ ssList(tl(sF77))
    | spl81_196 ),
    inference(avatar_component_clause,[],[f5154]) ).

fof(f5390,plain,
    ( ssList(tl(sF77))
    | ~ ssList(sK60)
    | ~ ssList(tl(sF76))
    | ~ spl81_11
    | spl81_61 ),
    inference(superposition,[],[f457,f3823]) ).

fof(f3823,plain,
    ( tl(sF77) = app(tl(sF76),sK60)
    | ~ spl81_11
    | spl81_61 ),
    inference(subsumption_resolution,[],[f3822,f931]) ).

fof(f3822,plain,
    ( tl(sF77) = app(tl(sF76),sK60)
    | ~ ssList(sF76)
    | spl81_61 ),
    inference(subsumption_resolution,[],[f3821,f562]) ).

fof(f3821,plain,
    ( tl(sF77) = app(tl(sF76),sK60)
    | ~ ssList(sK60)
    | ~ ssList(sF76)
    | spl81_61 ),
    inference(subsumption_resolution,[],[f3786,f1423]) ).

fof(f3786,plain,
    ( tl(sF77) = app(tl(sF76),sK60)
    | nil = sF76
    | ~ ssList(sK60)
    | ~ ssList(sF76) ),
    inference(superposition,[],[f540,f612]) ).

fof(f612,plain,
    app(sF76,sK60) = sF77,
    introduced(function_definition,[new_symbols(definition,[sF77])]) ).

fof(f540,plain,
    ! [X0,X1] :
      ( tl(app(X0,X1)) = app(tl(X0),X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(app(X0,X1)) = app(tl(X0),X1)
          | nil = X0
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil != X0
           => tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax86) ).

fof(f5230,plain,
    ( ~ spl81_196
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(avatar_split_clause,[],[f5229,f4536,f1433,f796,f732,f5154]) ).

fof(f732,plain,
    ( spl81_7
  <=> ssList(sF77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_7])]) ).

fof(f796,plain,
    ( spl81_13
  <=> ssList(sF78) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_13])]) ).

fof(f1433,plain,
    ( spl81_63
  <=> nil = sF77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_63])]) ).

fof(f4536,plain,
    ( spl81_190
  <=> nil = tl(sF79) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_190])]) ).

fof(f5229,plain,
    ( ~ ssList(tl(sF77))
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(subsumption_resolution,[],[f5228,f797]) ).

fof(f797,plain,
    ( ssList(sF78)
    | ~ spl81_13 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f5228,plain,
    ( ~ ssList(sF78)
    | ~ ssList(tl(sF77))
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(subsumption_resolution,[],[f5227,f668]) ).

fof(f668,plain,
    nil != sF78,
    inference(subsumption_resolution,[],[f667,f445]) ).

fof(f445,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax17) ).

fof(f667,plain,
    ( nil != sF78
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f658,f560]) ).

fof(f560,plain,
    ssItem(sK58),
    inference(cnf_transformation,[],[f352]) ).

fof(f658,plain,
    ( nil != sF78
    | ~ ssItem(sK58)
    | ~ ssList(nil) ),
    inference(superposition,[],[f446,f613]) ).

fof(f613,plain,
    cons(sK58,nil) = sF78,
    introduced(function_definition,[new_symbols(definition,[sF78])]) ).

fof(f446,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax18) ).

fof(f5227,plain,
    ( nil = sF78
    | ~ ssList(sF78)
    | ~ ssList(tl(sF77))
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(subsumption_resolution,[],[f5149,f590]) ).

fof(f590,plain,
    ~ sP74(nil),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP74])]) ).

fof(f5149,plain,
    ( sP74(nil)
    | nil = sF78
    | ~ ssList(sF78)
    | ~ ssList(tl(sF77))
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(superposition,[],[f591,f4726]) ).

fof(f4726,plain,
    ( nil = app(tl(sF77),sF78)
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63
    | ~ spl81_190 ),
    inference(backward_demodulation,[],[f3826,f4538]) ).

fof(f4538,plain,
    ( nil = tl(sF79)
    | ~ spl81_190 ),
    inference(avatar_component_clause,[],[f4536]) ).

fof(f3826,plain,
    ( tl(sF79) = app(tl(sF77),sF78)
    | ~ spl81_7
    | ~ spl81_13
    | spl81_63 ),
    inference(subsumption_resolution,[],[f3825,f733]) ).

fof(f733,plain,
    ( ssList(sF77)
    | ~ spl81_7 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f3825,plain,
    ( tl(sF79) = app(tl(sF77),sF78)
    | ~ ssList(sF77)
    | ~ spl81_13
    | spl81_63 ),
    inference(subsumption_resolution,[],[f3824,f797]) ).

fof(f3824,plain,
    ( tl(sF79) = app(tl(sF77),sF78)
    | ~ ssList(sF78)
    | ~ ssList(sF77)
    | spl81_63 ),
    inference(subsumption_resolution,[],[f3787,f1434]) ).

fof(f1434,plain,
    ( nil != sF77
    | spl81_63 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f3787,plain,
    ( tl(sF79) = app(tl(sF77),sF78)
    | nil = sF77
    | ~ ssList(sF78)
    | ~ ssList(sF77) ),
    inference(superposition,[],[f540,f614]) ).

fof(f614,plain,
    app(sF77,sF78) = sF79,
    introduced(function_definition,[new_symbols(definition,[sF79])]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( sP74(app(X0,X1))
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f535,f590]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f340,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax83) ).

fof(f4713,plain,
    ( spl81_190
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78
    | ~ spl81_184 ),
    inference(avatar_split_clause,[],[f4712,f4495,f1597,f1496,f937,f4536]) ).

fof(f937,plain,
    ( spl81_21
  <=> ssList(sF79) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_21])]) ).

fof(f1496,plain,
    ( spl81_65
  <=> nil = sF79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_65])]) ).

fof(f1597,plain,
    ( spl81_78
  <=> nil = tl(sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_78])]) ).

fof(f4495,plain,
    ( spl81_184
  <=> ssList(tl(sF79)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_184])]) ).

fof(f4712,plain,
    ( nil = tl(sF79)
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78
    | ~ spl81_184 ),
    inference(subsumption_resolution,[],[f4711,f4496]) ).

fof(f4496,plain,
    ( ssList(tl(sF79))
    | ~ spl81_184 ),
    inference(avatar_component_clause,[],[f4495]) ).

fof(f4711,plain,
    ( nil = tl(sF79)
    | ~ ssList(tl(sF79))
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78 ),
    inference(subsumption_resolution,[],[f4710,f563]) ).

fof(f563,plain,
    ssList(sK61),
    inference(cnf_transformation,[],[f352]) ).

fof(f4710,plain,
    ( nil = tl(sF79)
    | ~ ssList(sK61)
    | ~ ssList(tl(sF79))
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78 ),
    inference(subsumption_resolution,[],[f4687,f588]) ).

fof(f588,plain,
    ~ sP73(nil),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP73])]) ).

fof(f4687,plain,
    ( sP73(nil)
    | nil = tl(sF79)
    | ~ ssList(sK61)
    | ~ ssList(tl(sF79))
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78 ),
    inference(superposition,[],[f589,f3833]) ).

fof(f3833,plain,
    ( nil = app(tl(sF79),sK61)
    | ~ spl81_21
    | spl81_65
    | ~ spl81_78 ),
    inference(forward_demodulation,[],[f3832,f1599]) ).

fof(f1599,plain,
    ( nil = tl(sK55)
    | ~ spl81_78 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f3832,plain,
    ( tl(sK55) = app(tl(sF79),sK61)
    | ~ spl81_21
    | spl81_65 ),
    inference(subsumption_resolution,[],[f3831,f939]) ).

fof(f939,plain,
    ( ssList(sF79)
    | ~ spl81_21 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f3831,plain,
    ( tl(sK55) = app(tl(sF79),sK61)
    | ~ ssList(sF79)
    | spl81_65 ),
    inference(subsumption_resolution,[],[f3830,f563]) ).

fof(f3830,plain,
    ( tl(sK55) = app(tl(sF79),sK61)
    | ~ ssList(sK61)
    | ~ ssList(sF79)
    | spl81_65 ),
    inference(subsumption_resolution,[],[f3789,f1497]) ).

fof(f1497,plain,
    ( nil != sF79
    | spl81_65 ),
    inference(avatar_component_clause,[],[f1496]) ).

fof(f3789,plain,
    ( tl(sK55) = app(tl(sF79),sK61)
    | nil = sF79
    | ~ ssList(sK61)
    | ~ ssList(sF79) ),
    inference(superposition,[],[f540,f633]) ).

fof(f633,plain,
    sK55 = app(sF79,sK61),
    inference(backward_demodulation,[],[f615,f632]) ).

fof(f632,plain,
    sK55 = sF80,
    inference(forward_demodulation,[],[f616,f557]) ).

fof(f557,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f352]) ).

fof(f616,plain,
    sK53 = sF80,
    inference(definition_folding,[],[f564,f615,f614,f613,f612,f611,f610]) ).

fof(f610,plain,
    cons(sK57,nil) = sF75,
    introduced(function_definition,[new_symbols(definition,[sF75])]) ).

fof(f564,plain,
    sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61),
    inference(cnf_transformation,[],[f352]) ).

fof(f615,plain,
    app(sF79,sK61) = sF80,
    introduced(function_definition,[new_symbols(definition,[sF80])]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( sP73(app(X0,X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f536,f588]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f4574,plain,
    ( ~ spl81_21
    | spl81_65
    | spl81_184 ),
    inference(avatar_contradiction_clause,[],[f4573]) ).

fof(f4573,plain,
    ( $false
    | ~ spl81_21
    | spl81_65
    | spl81_184 ),
    inference(subsumption_resolution,[],[f4572,f939]) ).

fof(f4572,plain,
    ( ~ ssList(sF79)
    | spl81_65
    | spl81_184 ),
    inference(subsumption_resolution,[],[f4571,f1497]) ).

fof(f4571,plain,
    ( nil = sF79
    | ~ ssList(sF79)
    | spl81_184 ),
    inference(resolution,[],[f4497,f455]) ).

fof(f4497,plain,
    ( ~ ssList(tl(sF79))
    | spl81_184 ),
    inference(avatar_component_clause,[],[f4495]) ).

fof(f1733,plain,
    ( ~ spl81_64
    | ~ spl81_65 ),
    inference(avatar_contradiction_clause,[],[f1732]) ).

fof(f1732,plain,
    ( $false
    | ~ spl81_64
    | ~ spl81_65 ),
    inference(subsumption_resolution,[],[f1729,f588]) ).

fof(f1729,plain,
    ( sP73(nil)
    | ~ spl81_64
    | ~ spl81_65 ),
    inference(backward_demodulation,[],[f1439,f1498]) ).

fof(f1498,plain,
    ( nil = sF79
    | ~ spl81_65 ),
    inference(avatar_component_clause,[],[f1496]) ).

fof(f1439,plain,
    ( sP73(sF79)
    | ~ spl81_64 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f1437,plain,
    ( spl81_64
  <=> sP73(sF79) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_64])]) ).

fof(f1720,plain,
    ( ~ spl81_66
    | ~ spl81_76 ),
    inference(avatar_contradiction_clause,[],[f1719]) ).

fof(f1719,plain,
    ( $false
    | ~ spl81_66
    | ~ spl81_76 ),
    inference(subsumption_resolution,[],[f1716,f588]) ).

fof(f1716,plain,
    ( sP73(nil)
    | ~ spl81_66
    | ~ spl81_76 ),
    inference(backward_demodulation,[],[f1502,f1586]) ).

fof(f1586,plain,
    ( nil = sK55
    | ~ spl81_76 ),
    inference(avatar_component_clause,[],[f1585]) ).

fof(f1585,plain,
    ( spl81_76
  <=> nil = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_76])]) ).

fof(f1502,plain,
    ( sP73(sK55)
    | ~ spl81_66 ),
    inference(avatar_component_clause,[],[f1500]) ).

fof(f1500,plain,
    ( spl81_66
  <=> sP73(sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_66])]) ).

fof(f1710,plain,
    ( spl81_76
    | ~ spl81_28 ),
    inference(avatar_split_clause,[],[f1709,f1022,f1585]) ).

fof(f1022,plain,
    ( spl81_28
  <=> nil = sK56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_28])]) ).

fof(f1709,plain,
    ( nil = sK55
    | ~ spl81_28 ),
    inference(subsumption_resolution,[],[f1708,f554]) ).

fof(f554,plain,
    ssList(sK55),
    inference(cnf_transformation,[],[f352]) ).

fof(f1708,plain,
    ( nil = sK55
    | ~ ssList(sK55)
    | ~ spl81_28 ),
    inference(resolution,[],[f1701,f499]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0] :
      ( ( ( segmentP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ segmentP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax58) ).

fof(f1701,plain,
    ( segmentP(nil,sK55)
    | ~ spl81_28 ),
    inference(backward_demodulation,[],[f558,f1024]) ).

fof(f1024,plain,
    ( nil = sK56
    | ~ spl81_28 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f558,plain,
    segmentP(sK56,sK55),
    inference(cnf_transformation,[],[f352]) ).

fof(f1698,plain,
    ( ~ spl81_1
    | spl81_67 ),
    inference(avatar_split_clause,[],[f1697,f1539,f624]) ).

fof(f624,plain,
    ( spl81_1
  <=> singletonP(sK55) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_1])]) ).

fof(f1539,plain,
    ( spl81_67
  <=> ssItem(sK10(sK55)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_67])]) ).

fof(f1697,plain,
    ( ~ singletonP(sK55)
    | spl81_67 ),
    inference(subsumption_resolution,[],[f1693,f554]) ).

fof(f1693,plain,
    ( ~ singletonP(sK55)
    | ~ ssList(sK55)
    | spl81_67 ),
    inference(resolution,[],[f1541,f362]) ).

fof(f362,plain,
    ! [X0] :
      ( ssItem(sK10(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ( cons(sK10(X0),nil) = X0
            & ssItem(sK10(X0)) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,nil) = X0
          & ssItem(X2) )
     => ( cons(sK10(X0),nil) = X0
        & ssItem(sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f242,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X2] :
              ( cons(X2,nil) = X0
              & ssItem(X2) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f241]) ).

fof(f241,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax4) ).

fof(f1541,plain,
    ( ~ ssItem(sK10(sK55))
    | spl81_67 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1600,plain,
    ( ~ spl81_67
    | spl81_78
    | ~ spl81_1 ),
    inference(avatar_split_clause,[],[f1595,f624,f1597,f1539]) ).

fof(f1595,plain,
    ( nil = tl(sK55)
    | ~ ssItem(sK10(sK55))
    | ~ spl81_1 ),
    inference(subsumption_resolution,[],[f1523,f445]) ).

fof(f1523,plain,
    ( nil = tl(sK55)
    | ~ ssItem(sK10(sK55))
    | ~ ssList(nil)
    | ~ spl81_1 ),
    inference(superposition,[],[f456,f1489]) ).

fof(f1489,plain,
    ( sK55 = cons(sK10(sK55),nil)
    | ~ spl81_1 ),
    inference(subsumption_resolution,[],[f1488,f554]) ).

fof(f1488,plain,
    ( sK55 = cons(sK10(sK55),nil)
    | ~ ssList(sK55)
    | ~ spl81_1 ),
    inference(resolution,[],[f626,f363]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ singletonP(X0)
      | cons(sK10(X0),nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f626,plain,
    ( singletonP(sK55)
    | ~ spl81_1 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax25) ).

fof(f1503,plain,
    ( spl81_65
    | spl81_66
    | ~ spl81_21 ),
    inference(avatar_split_clause,[],[f1494,f937,f1500,f1496]) ).

fof(f1494,plain,
    ( sP73(sK55)
    | nil = sF79
    | ~ spl81_21 ),
    inference(subsumption_resolution,[],[f1493,f939]) ).

fof(f1493,plain,
    ( sP73(sK55)
    | nil = sF79
    | ~ ssList(sF79) ),
    inference(subsumption_resolution,[],[f1491,f563]) ).

fof(f1491,plain,
    ( sP73(sK55)
    | nil = sF79
    | ~ ssList(sK61)
    | ~ ssList(sF79) ),
    inference(superposition,[],[f589,f633]) ).

fof(f1487,plain,
    ( ~ spl81_62
    | ~ spl81_63 ),
    inference(avatar_contradiction_clause,[],[f1486]) ).

fof(f1486,plain,
    ( $false
    | ~ spl81_62
    | ~ spl81_63 ),
    inference(subsumption_resolution,[],[f1485,f588]) ).

fof(f1485,plain,
    ( sP73(nil)
    | ~ spl81_62
    | ~ spl81_63 ),
    inference(forward_demodulation,[],[f1428,f1435]) ).

fof(f1435,plain,
    ( nil = sF77
    | ~ spl81_63 ),
    inference(avatar_component_clause,[],[f1433]) ).

fof(f1428,plain,
    ( sP73(sF77)
    | ~ spl81_62 ),
    inference(avatar_component_clause,[],[f1426]) ).

fof(f1426,plain,
    ( spl81_62
  <=> sP73(sF77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_62])]) ).

fof(f1484,plain,
    ( ~ spl81_60
    | ~ spl81_61 ),
    inference(avatar_contradiction_clause,[],[f1483]) ).

fof(f1483,plain,
    ( $false
    | ~ spl81_60
    | ~ spl81_61 ),
    inference(subsumption_resolution,[],[f1482,f588]) ).

fof(f1482,plain,
    ( sP73(nil)
    | ~ spl81_60
    | ~ spl81_61 ),
    inference(forward_demodulation,[],[f1417,f1424]) ).

fof(f1424,plain,
    ( nil = sF76
    | ~ spl81_61 ),
    inference(avatar_component_clause,[],[f1422]) ).

fof(f1417,plain,
    ( sP73(sF76)
    | ~ spl81_60 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1415,plain,
    ( spl81_60
  <=> sP73(sF76) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_60])]) ).

fof(f1480,plain,
    ( spl81_4
    | ~ spl81_59
    | ~ spl81_61 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1479,plain,
    ( $false
    | spl81_4
    | ~ spl81_59
    | ~ spl81_61 ),
    inference(subsumption_resolution,[],[f1475,f522]) ).

fof(f522,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax72) ).

fof(f1475,plain,
    ( ~ duplicatefreeP(nil)
    | spl81_4
    | ~ spl81_59
    | ~ spl81_61 ),
    inference(backward_demodulation,[],[f1465,f1472]) ).

fof(f1472,plain,
    ( nil = app(nil,sF75)
    | ~ spl81_59
    | ~ spl81_61 ),
    inference(backward_demodulation,[],[f1463,f1413]) ).

fof(f1413,plain,
    ( nil = sK59
    | ~ spl81_59 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f1411,plain,
    ( spl81_59
  <=> nil = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_59])]) ).

fof(f1463,plain,
    ( nil = app(sK59,sF75)
    | ~ spl81_61 ),
    inference(backward_demodulation,[],[f611,f1424]) ).

fof(f1465,plain,
    ( ~ duplicatefreeP(app(nil,sF75))
    | spl81_4
    | ~ spl81_61 ),
    inference(backward_demodulation,[],[f680,f1424]) ).

fof(f680,plain,
    ( ~ duplicatefreeP(app(sF76,sF75))
    | spl81_4 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f678,plain,
    ( spl81_4
  <=> duplicatefreeP(app(sF76,sF75)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_4])]) ).

fof(f1440,plain,
    ( spl81_63
    | spl81_64
    | ~ spl81_7
    | ~ spl81_13 ),
    inference(avatar_split_clause,[],[f1431,f796,f732,f1437,f1433]) ).

fof(f1431,plain,
    ( sP73(sF79)
    | nil = sF77
    | ~ spl81_7
    | ~ spl81_13 ),
    inference(subsumption_resolution,[],[f1430,f733]) ).

fof(f1430,plain,
    ( sP73(sF79)
    | nil = sF77
    | ~ ssList(sF77)
    | ~ spl81_13 ),
    inference(subsumption_resolution,[],[f1404,f797]) ).

fof(f1404,plain,
    ( sP73(sF79)
    | nil = sF77
    | ~ ssList(sF78)
    | ~ ssList(sF77) ),
    inference(superposition,[],[f589,f614]) ).

fof(f1429,plain,
    ( spl81_61
    | spl81_62
    | ~ spl81_11 ),
    inference(avatar_split_clause,[],[f1420,f787,f1426,f1422]) ).

fof(f1420,plain,
    ( sP73(sF77)
    | nil = sF76
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f1419,f931]) ).

fof(f1419,plain,
    ( sP73(sF77)
    | nil = sF76
    | ~ ssList(sF76) ),
    inference(subsumption_resolution,[],[f1403,f562]) ).

fof(f1403,plain,
    ( sP73(sF77)
    | nil = sF76
    | ~ ssList(sK60)
    | ~ ssList(sF76) ),
    inference(superposition,[],[f589,f612]) ).

fof(f1418,plain,
    ( spl81_59
    | spl81_60
    | ~ spl81_11 ),
    inference(avatar_split_clause,[],[f1409,f787,f1415,f1411]) ).

fof(f1409,plain,
    ( sP73(sF76)
    | nil = sK59
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f1408,f561]) ).

fof(f1408,plain,
    ( sP73(sF76)
    | nil = sK59
    | ~ ssList(sK59)
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f1402,f788]) ).

fof(f1402,plain,
    ( sP73(sF76)
    | nil = sK59
    | ~ ssList(sF75)
    | ~ ssList(sK59) ),
    inference(superposition,[],[f589,f611]) ).

fof(f1033,plain,
    ( spl81_28
    | spl81_2 ),
    inference(avatar_split_clause,[],[f1032,f628,f1022]) ).

fof(f628,plain,
    ( spl81_2
  <=> neq(sK56,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_2])]) ).

fof(f1032,plain,
    ( nil = sK56
    | spl81_2 ),
    inference(subsumption_resolution,[],[f1031,f555]) ).

fof(f555,plain,
    ssList(sK56),
    inference(cnf_transformation,[],[f352]) ).

fof(f1031,plain,
    ( nil = sK56
    | ~ ssList(sK56)
    | spl81_2 ),
    inference(subsumption_resolution,[],[f1026,f445]) ).

fof(f1026,plain,
    ( nil = sK56
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | spl81_2 ),
    inference(resolution,[],[f443,f630]) ).

fof(f630,plain,
    ( ~ neq(sK56,nil)
    | spl81_2 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f316,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax15) ).

fof(f940,plain,
    ( ~ spl81_7
    | spl81_21
    | ~ spl81_13 ),
    inference(avatar_split_clause,[],[f935,f796,f937,f732]) ).

fof(f935,plain,
    ( ssList(sF79)
    | ~ ssList(sF77)
    | ~ spl81_13 ),
    inference(subsumption_resolution,[],[f913,f797]) ).

fof(f913,plain,
    ( ssList(sF79)
    | ~ ssList(sF78)
    | ~ ssList(sF77) ),
    inference(superposition,[],[f457,f614]) ).

fof(f934,plain,
    ( spl81_7
    | ~ spl81_11 ),
    inference(avatar_split_clause,[],[f933,f787,f732]) ).

fof(f933,plain,
    ( ssList(sF77)
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f932,f931]) ).

fof(f932,plain,
    ( ssList(sF77)
    | ~ ssList(sF76) ),
    inference(subsumption_resolution,[],[f912,f562]) ).

fof(f912,plain,
    ( ssList(sF77)
    | ~ ssList(sK60)
    | ~ ssList(sF76) ),
    inference(superposition,[],[f457,f612]) ).

fof(f929,plain,
    ( ~ spl81_3
    | ~ spl81_4 ),
    inference(avatar_split_clause,[],[f928,f678,f674]) ).

fof(f674,plain,
    ( spl81_3
  <=> ssList(app(sF76,sF75)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl81_3])]) ).

fof(f928,plain,
    ( ~ duplicatefreeP(app(sF76,sF75))
    | ~ ssList(app(sF76,sF75)) ),
    inference(subsumption_resolution,[],[f718,f445]) ).

fof(f718,plain,
    ( ~ duplicatefreeP(app(sF76,sF75))
    | ~ ssList(nil)
    | ~ ssList(app(sF76,sF75)) ),
    inference(superposition,[],[f684,f610]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ duplicatefreeP(app(sF76,cons(sK57,X0)))
      | ~ ssList(X0)
      | ~ ssList(app(sF76,cons(sK57,X0))) ),
    inference(subsumption_resolution,[],[f682,f561]) ).

fof(f682,plain,
    ! [X0] :
      ( ~ duplicatefreeP(app(sF76,cons(sK57,X0)))
      | ~ ssList(sK59)
      | ~ ssList(X0)
      | ~ ssList(app(sF76,cons(sK57,X0))) ),
    inference(superposition,[],[f647,f611]) ).

fof(f647,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF75),cons(sK57,X1)))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF75),cons(sK57,X1))) ),
    inference(subsumption_resolution,[],[f646,f559]) ).

fof(f559,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f352]) ).

fof(f646,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF75),cons(sK57,X1)))
      | ~ ssList(X0)
      | ~ ssItem(sK57)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF75),cons(sK57,X1))) ),
    inference(subsumption_resolution,[],[f640,f445]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,sF75),cons(sK57,X1)))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssItem(sK57)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,sF75),cons(sK57,X1))) ),
    inference(superposition,[],[f621,f610]) ).

fof(f621,plain,
    ! [X10,X8,X9,X7] :
      ( ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssList(X10)
      | ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(duplicate_literal_removal,[],[f604]) ).

fof(f604,plain,
    ! [X10,X8,X9,X7] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
      | ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f603]) ).

fof(f603,plain,
    ! [X10,X0,X8,X9,X7] :
      ( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X7)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f427]) ).

fof(f427,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( X6 != X7
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ( sK40(X0) = sK41(X0)
            & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
            & ssList(sK44(X0))
            & ssList(sK43(X0))
            & ssList(sK42(X0))
            & ssItem(sK41(X0))
            & ssItem(sK40(X0)) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( X6 != X7
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[f302,f307,f306,f305,f304,f303]) ).

fof(f303,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( X1 = X2
                          & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                          & ssList(X5) )
                      & ssList(X4) )
                  & ssList(X3) )
              & ssItem(X2) )
          & ssItem(X1) )
     => ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( sK40(X0) = X2
                        & app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
                        & ssList(X5) )
                    & ssList(X4) )
                & ssList(X3) )
            & ssItem(X2) )
        & ssItem(sK40(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f304,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( sK40(X0) = X2
                      & app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              & ssList(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( sK40(X0) = sK41(X0)
                    & app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                    & ssList(X5) )
                & ssList(X4) )
            & ssList(X3) )
        & ssItem(sK41(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f305,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( sK40(X0) = sK41(X0)
                  & app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                  & ssList(X5) )
              & ssList(X4) )
          & ssList(X3) )
     => ( ? [X4] :
            ( ? [X5] :
                ( sK40(X0) = sK41(X0)
                & app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
                & ssList(X5) )
            & ssList(X4) )
        & ssList(sK42(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f306,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( sK40(X0) = sK41(X0)
              & app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( sK40(X0) = sK41(X0)
            & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
            & ssList(X5) )
        & ssList(sK43(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f307,plain,
    ! [X0] :
      ( ? [X5] :
          ( sK40(X0) = sK41(X0)
          & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
          & ssList(X5) )
     => ( sK40(X0) = sK41(X0)
        & app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
        & ssList(sK44(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f302,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( X1 = X2
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( X6 != X7
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f301]) ).

fof(f301,plain,
    ! [X0] :
      ( ( ( duplicatefreeP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( X1 = X2
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ! [X3] :
                      ( ! [X4] :
                          ( ! [X5] :
                              ( X1 != X2
                              | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                              | ~ ssList(X5) )
                          | ~ ssList(X4) )
                      | ~ ssList(X3) )
                  | ~ ssItem(X2) )
              | ~ ssItem(X1) )
          | ~ duplicatefreeP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( duplicatefreeP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( X1 != X2
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( duplicatefreeP(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
                             => X1 != X2 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax13) ).

fof(f921,plain,
    ( spl81_3
    | ~ spl81_11 ),
    inference(avatar_contradiction_clause,[],[f920]) ).

fof(f920,plain,
    ( $false
    | spl81_3
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f919,f561]) ).

fof(f919,plain,
    ( ~ ssList(sK59)
    | spl81_3
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f918,f788]) ).

fof(f918,plain,
    ( ~ ssList(sF75)
    | ~ ssList(sK59)
    | spl81_3
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f911,f917]) ).

fof(f917,plain,
    ( ~ ssList(sF76)
    | spl81_3
    | ~ spl81_11 ),
    inference(subsumption_resolution,[],[f908,f788]) ).

fof(f908,plain,
    ( ~ ssList(sF75)
    | ~ ssList(sF76)
    | spl81_3 ),
    inference(resolution,[],[f457,f676]) ).

fof(f676,plain,
    ( ~ ssList(app(sF76,sF75))
    | spl81_3 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f887,plain,
    spl81_13,
    inference(avatar_split_clause,[],[f886,f796]) ).

fof(f886,plain,
    ssList(sF78),
    inference(subsumption_resolution,[],[f885,f445]) ).

fof(f885,plain,
    ( ssList(sF78)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f853,f560]) ).

fof(f853,plain,
    ( ssList(sF78)
    | ~ ssItem(sK58)
    | ~ ssList(nil) ),
    inference(superposition,[],[f444,f613]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,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/sandbox2/tmp/tmp.FYMUB8OkgH/Vampire---4.8_21123',ax16) ).

fof(f864,plain,
    spl81_11,
    inference(avatar_split_clause,[],[f863,f787]) ).

fof(f863,plain,
    ssList(sF75),
    inference(subsumption_resolution,[],[f862,f445]) ).

fof(f862,plain,
    ( ssList(sF75)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f852,f559]) ).

fof(f852,plain,
    ( ssList(sF75)
    | ~ ssItem(sK57)
    | ~ ssList(nil) ),
    inference(superposition,[],[f444,f610]) ).

fof(f631,plain,
    ( spl81_1
    | ~ spl81_2 ),
    inference(avatar_split_clause,[],[f566,f628,f624]) ).

fof(f566,plain,
    ( ~ neq(sK56,nil)
    | singletonP(sK55) ),
    inference(cnf_transformation,[],[f352]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC307+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 18:38:34 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.FYMUB8OkgH/Vampire---4.8_21123
% 0.65/0.82  % (21351)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)
% 0.65/0.82  % (21355)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)
% 0.65/0.82  % (21348)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)
% 0.65/0.82  % (21350)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (21349)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)
% 0.65/0.82  % (21352)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)
% 0.65/0.82  % (21353)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)
% 0.65/0.82  % (21354)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)
% 0.65/0.83  % (21351)Instruction limit reached!
% 0.65/0.83  % (21351)------------------------------
% 0.65/0.83  % (21351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (21351)Termination reason: Unknown
% 0.65/0.83  % (21351)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (21351)Memory used [KB]: 1813
% 0.65/0.83  % (21351)Time elapsed: 0.011 s
% 0.65/0.83  % (21351)Instructions burned: 34 (million)
% 0.65/0.83  % (21351)------------------------------
% 0.65/0.83  % (21351)------------------------------
% 0.65/0.83  % (21362)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)
% 0.65/0.83  % (21355)Instruction limit reached!
% 0.65/0.83  % (21355)------------------------------
% 0.65/0.83  % (21355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83  % (21355)Termination reason: Unknown
% 0.65/0.83  % (21355)Termination phase: Saturation
% 0.65/0.83  
% 0.65/0.83  % (21355)Memory used [KB]: 1487
% 0.65/0.83  % (21355)Time elapsed: 0.016 s
% 0.65/0.83  % (21355)Instructions burned: 58 (million)
% 0.65/0.83  % (21355)------------------------------
% 0.65/0.83  % (21355)------------------------------
% 0.65/0.83  % (21364)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)
% 0.68/0.84  % (21348)Instruction limit reached!
% 0.68/0.84  % (21348)------------------------------
% 0.68/0.84  % (21348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (21348)Termination reason: Unknown
% 0.68/0.84  % (21348)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (21348)Memory used [KB]: 1420
% 0.68/0.84  % (21348)Time elapsed: 0.020 s
% 0.68/0.84  % (21348)Instructions burned: 34 (million)
% 0.68/0.84  % (21348)------------------------------
% 0.68/0.84  % (21348)------------------------------
% 0.68/0.84  % (21352)Instruction limit reached!
% 0.68/0.84  % (21352)------------------------------
% 0.68/0.84  % (21352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (21352)Termination reason: Unknown
% 0.68/0.84  % (21352)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (21352)Memory used [KB]: 2032
% 0.68/0.84  % (21352)Time elapsed: 0.020 s
% 0.68/0.84  % (21352)Instructions burned: 35 (million)
% 0.68/0.84  % (21352)------------------------------
% 0.68/0.84  % (21352)------------------------------
% 0.68/0.84  % (21367)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)
% 0.68/0.84  % (21368)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)
% 0.68/0.84  % (21353)Instruction limit reached!
% 0.68/0.84  % (21353)------------------------------
% 0.68/0.84  % (21353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (21353)Termination reason: Unknown
% 0.68/0.84  % (21353)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (21353)Memory used [KB]: 1680
% 0.68/0.84  % (21353)Time elapsed: 0.028 s
% 0.68/0.84  % (21353)Instructions burned: 45 (million)
% 0.68/0.84  % (21353)------------------------------
% 0.68/0.84  % (21353)------------------------------
% 0.68/0.84  % (21362)Instruction limit reached!
% 0.68/0.84  % (21362)------------------------------
% 0.68/0.84  % (21362)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (21362)Termination reason: Unknown
% 0.68/0.84  % (21362)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (21362)Memory used [KB]: 2228
% 0.68/0.84  % (21362)Time elapsed: 0.017 s
% 0.68/0.84  % (21362)Instructions burned: 57 (million)
% 0.68/0.84  % (21362)------------------------------
% 0.68/0.84  % (21362)------------------------------
% 0.68/0.85  % (21371)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)
% 0.68/0.85  % (21349)Instruction limit reached!
% 0.68/0.85  % (21349)------------------------------
% 0.68/0.85  % (21349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  % (21349)Termination reason: Unknown
% 0.68/0.85  % (21349)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (21349)Memory used [KB]: 1976
% 0.68/0.85  % (21349)Time elapsed: 0.032 s
% 0.68/0.85  % (21349)Instructions burned: 52 (million)
% 0.68/0.85  % (21349)------------------------------
% 0.68/0.85  % (21349)------------------------------
% 0.68/0.85  % (21370)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)
% 0.68/0.85  % (21364)Instruction limit reached!
% 0.68/0.85  % (21364)------------------------------
% 0.68/0.85  % (21364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  % (21364)Termination reason: Unknown
% 0.68/0.85  % (21364)Termination phase: Saturation
% 0.68/0.85  
% 0.68/0.85  % (21364)Memory used [KB]: 1923
% 0.68/0.85  % (21364)Time elapsed: 0.016 s
% 0.68/0.85  % (21364)Instructions burned: 53 (million)
% 0.68/0.85  % (21364)------------------------------
% 0.68/0.85  % (21364)------------------------------
% 0.68/0.85  % (21376)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)
% 0.68/0.85  % (21374)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)
% 0.68/0.86  % (21354)Instruction limit reached!
% 0.68/0.86  % (21354)------------------------------
% 0.68/0.86  % (21354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.86  % (21354)Termination reason: Unknown
% 0.68/0.86  % (21354)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (21354)Memory used [KB]: 2183
% 0.68/0.86  % (21354)Time elapsed: 0.042 s
% 0.68/0.86  % (21354)Instructions burned: 84 (million)
% 0.68/0.86  % (21354)------------------------------
% 0.68/0.86  % (21354)------------------------------
% 0.68/0.86  % (21371)Instruction limit reached!
% 0.68/0.86  % (21371)------------------------------
% 0.68/0.86  % (21371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.86  % (21371)Termination reason: Unknown
% 0.68/0.86  % (21371)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (21371)Memory used [KB]: 2086
% 0.68/0.86  % (21371)Time elapsed: 0.014 s
% 0.68/0.86  % (21371)Instructions burned: 44 (million)
% 0.68/0.86  % (21371)------------------------------
% 0.68/0.86  % (21371)------------------------------
% 0.68/0.86  % (21386)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)
% 0.68/0.86  % (21385)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)
% 0.68/0.86  % (21350)Instruction limit reached!
% 0.68/0.86  % (21350)------------------------------
% 0.68/0.86  % (21350)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.86  % (21350)Termination reason: Unknown
% 0.68/0.86  % (21350)Termination phase: Saturation
% 0.68/0.86  
% 0.68/0.86  % (21350)Memory used [KB]: 2189
% 0.68/0.86  % (21350)Time elapsed: 0.049 s
% 0.68/0.86  % (21350)Instructions burned: 79 (million)
% 0.68/0.86  % (21350)------------------------------
% 0.68/0.86  % (21350)------------------------------
% 0.68/0.87  % (21368)Instruction limit reached!
% 0.68/0.87  % (21368)------------------------------
% 0.68/0.87  % (21368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.87  % (21368)Termination reason: Unknown
% 0.68/0.87  % (21368)Termination phase: Saturation
% 0.68/0.87  
% 0.68/0.87  % (21368)Memory used [KB]: 1804
% 0.68/0.87  % (21368)Time elapsed: 0.030 s
% 0.68/0.87  % (21368)Instructions burned: 52 (million)
% 0.68/0.87  % (21368)------------------------------
% 0.68/0.87  % (21368)------------------------------
% 0.68/0.87  % (21392)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)
% 0.68/0.87  % (21395)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 (2994ds/32Mi)
% 0.68/0.88  % (21376)Instruction limit reached!
% 0.68/0.88  % (21376)------------------------------
% 0.68/0.88  % (21376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.88  % (21376)Termination reason: Unknown
% 0.68/0.88  % (21376)Termination phase: Saturation
% 0.68/0.88  
% 0.68/0.88  % (21376)Memory used [KB]: 1819
% 0.68/0.88  % (21376)Time elapsed: 0.056 s
% 0.68/0.88  % (21376)Instructions burned: 118 (million)
% 0.68/0.88  % (21376)------------------------------
% 0.68/0.88  % (21376)------------------------------
% 0.68/0.89  % (21407)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)
% 0.68/0.89  % (21395)Instruction limit reached!
% 0.68/0.89  % (21395)------------------------------
% 0.68/0.89  % (21395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.89  % (21395)Termination reason: Unknown
% 0.68/0.89  % (21395)Termination phase: Saturation
% 0.68/0.89  
% 0.68/0.89  % (21395)Memory used [KB]: 1517
% 0.68/0.89  % (21395)Time elapsed: 0.020 s
% 0.68/0.89  % (21395)Instructions burned: 32 (million)
% 0.68/0.89  % (21395)------------------------------
% 0.68/0.89  % (21395)------------------------------
% 0.68/0.89  % (21386)Instruction limit reached!
% 0.68/0.89  % (21386)------------------------------
% 0.68/0.89  % (21386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.89  % (21386)Termination reason: Unknown
% 0.68/0.89  % (21386)Termination phase: Saturation
% 0.68/0.89  
% 0.68/0.89  % (21386)Memory used [KB]: 2093
% 0.68/0.89  % (21386)Time elapsed: 0.053 s
% 0.68/0.89  % (21386)Instructions burned: 94 (million)
% 0.68/0.89  % (21386)------------------------------
% 0.68/0.89  % (21386)------------------------------
% 0.68/0.89  % (21415)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)
% 0.68/0.90  % (21414)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)
% 0.68/0.90  % (21392)Instruction limit reached!
% 0.68/0.90  % (21392)------------------------------
% 0.68/0.90  % (21392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90  % (21392)Termination reason: Unknown
% 0.68/0.90  % (21392)Termination phase: Saturation
% 0.68/0.90  
% 0.68/0.90  % (21392)Memory used [KB]: 2271
% 0.68/0.90  % (21392)Time elapsed: 0.054 s
% 0.68/0.90  % (21392)Instructions burned: 62 (million)
% 0.68/0.90  % (21392)------------------------------
% 0.68/0.90  % (21392)------------------------------
% 0.68/0.90  % (21421)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)
% 0.68/0.91  % (21415)Instruction limit reached!
% 0.68/0.91  % (21415)------------------------------
% 0.68/0.91  % (21415)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.91  % (21415)Termination reason: Unknown
% 0.68/0.91  % (21415)Termination phase: Saturation
% 0.68/0.91  
% 0.68/0.91  % (21415)Memory used [KB]: 1918
% 0.68/0.91  % (21415)Time elapsed: 0.015 s
% 0.68/0.91  % (21415)Instructions burned: 56 (million)
% 0.68/0.91  % (21415)------------------------------
% 0.68/0.91  % (21415)------------------------------
% 0.68/0.91  % (21428)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)
% 1.11/0.92  % (21385)Instruction limit reached!
% 1.11/0.92  % (21385)------------------------------
% 1.11/0.92  % (21385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.92  % (21385)Termination reason: Unknown
% 1.11/0.92  % (21385)Termination phase: Saturation
% 1.11/0.92  
% 1.11/0.92  % (21385)Memory used [KB]: 1728
% 1.11/0.92  % (21385)Time elapsed: 0.081 s
% 1.11/0.92  % (21385)Instructions burned: 143 (million)
% 1.11/0.92  % (21385)------------------------------
% 1.11/0.92  % (21385)------------------------------
% 1.11/0.92  % (21414)Instruction limit reached!
% 1.11/0.92  % (21414)------------------------------
% 1.11/0.92  % (21414)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.92  % (21414)Termination reason: Unknown
% 1.11/0.92  % (21414)Termination phase: Saturation
% 1.11/0.92  
% 1.11/0.92  % (21414)Memory used [KB]: 2221
% 1.11/0.92  % (21414)Time elapsed: 0.029 s
% 1.11/0.92  % (21414)Instructions burned: 55 (million)
% 1.11/0.92  % (21414)------------------------------
% 1.11/0.92  % (21414)------------------------------
% 1.11/0.93  % (21439)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)
% 1.11/0.93  % (21441)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)
% 1.11/0.93  % (21421)Instruction limit reached!
% 1.11/0.93  % (21421)------------------------------
% 1.11/0.93  % (21421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.93  % (21421)Termination reason: Unknown
% 1.11/0.93  % (21421)Termination phase: Saturation
% 1.11/0.93  
% 1.11/0.93  % (21421)Memory used [KB]: 2125
% 1.11/0.93  % (21421)Time elapsed: 0.027 s
% 1.11/0.93  % (21421)Instructions burned: 46 (million)
% 1.11/0.93  % (21421)------------------------------
% 1.11/0.93  % (21421)------------------------------
% 1.11/0.93  % (21446)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)
% 1.11/0.94  % (21439)Instruction limit reached!
% 1.11/0.94  % (21439)------------------------------
% 1.11/0.94  % (21439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.94  % (21439)Termination reason: Unknown
% 1.11/0.94  % (21439)Termination phase: Saturation
% 1.11/0.94  
% 1.11/0.94  % (21439)Memory used [KB]: 1616
% 1.11/0.94  % (21439)Time elapsed: 0.020 s
% 1.11/0.94  % (21439)Instructions burned: 36 (million)
% 1.11/0.94  % (21439)------------------------------
% 1.11/0.94  % (21439)------------------------------
% 1.11/0.95  % (21367)Instruction limit reached!
% 1.11/0.95  % (21367)------------------------------
% 1.11/0.95  % (21367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.95  % (21450)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)
% 1.11/0.95  % (21367)Termination reason: Unknown
% 1.11/0.95  % (21367)Termination phase: Saturation
% 1.11/0.95  
% 1.11/0.95  % (21367)Memory used [KB]: 2662
% 1.11/0.95  % (21367)Time elapsed: 0.109 s
% 1.11/0.95  % (21367)Instructions burned: 211 (million)
% 1.11/0.95  % (21367)------------------------------
% 1.11/0.95  % (21367)------------------------------
% 1.11/0.95  % (21428)Instruction limit reached!
% 1.11/0.95  % (21428)------------------------------
% 1.11/0.95  % (21428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.95  % (21428)Termination reason: Unknown
% 1.11/0.95  % (21428)Termination phase: Saturation
% 1.11/0.95  
% 1.11/0.95  % (21428)Memory used [KB]: 2968
% 1.11/0.95  % (21428)Time elapsed: 0.036 s
% 1.11/0.95  % (21428)Instructions burned: 102 (million)
% 1.11/0.95  % (21428)------------------------------
% 1.11/0.95  % (21428)------------------------------
% 1.11/0.95  % (21452)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)
% 1.11/0.95  % (21453)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)
% 1.11/0.96  % (21441)Instruction limit reached!
% 1.11/0.96  % (21441)------------------------------
% 1.11/0.96  % (21441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.96  % (21441)Termination reason: Unknown
% 1.11/0.96  % (21441)Termination phase: Saturation
% 1.11/0.96  
% 1.11/0.96  % (21441)Memory used [KB]: 2751
% 1.11/0.96  % (21441)Time elapsed: 0.033 s
% 1.11/0.96  % (21441)Instructions burned: 89 (million)
% 1.11/0.96  % (21441)------------------------------
% 1.11/0.96  % (21441)------------------------------
% 1.11/0.96  % (21463)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)
% 1.11/0.96  % (21453)Instruction limit reached!
% 1.11/0.96  % (21453)------------------------------
% 1.11/0.96  % (21453)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.96  % (21453)Termination reason: Unknown
% 1.11/0.96  % (21453)Termination phase: Saturation
% 1.11/0.96  
% 1.11/0.96  % (21453)Memory used [KB]: 1514
% 1.11/0.96  % (21453)Time elapsed: 0.016 s
% 1.11/0.96  % (21453)Instructions burned: 40 (million)
% 1.11/0.96  % (21453)------------------------------
% 1.11/0.96  % (21453)------------------------------
% 1.11/0.96  % (21374)Instruction limit reached!
% 1.11/0.96  % (21374)------------------------------
% 1.11/0.96  % (21374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.96  % (21374)Termination reason: Unknown
% 1.11/0.96  % (21374)Termination phase: Saturation
% 1.11/0.96  
% 1.11/0.96  % (21374)Memory used [KB]: 2895
% 1.11/0.96  % (21374)Time elapsed: 0.114 s
% 1.11/0.96  % (21374)Instructions burned: 246 (million)
% 1.11/0.96  % (21374)------------------------------
% 1.11/0.96  % (21374)------------------------------
% 1.11/0.97  % (21468)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)
% 1.11/0.97  % (21470)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)
% 1.11/0.97  % (21452)Instruction limit reached!
% 1.11/0.97  % (21452)------------------------------
% 1.11/0.97  % (21452)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.97  % (21452)Termination reason: Unknown
% 1.11/0.97  % (21452)Termination phase: Saturation
% 1.11/0.97  
% 1.11/0.97  % (21452)Memory used [KB]: 2231
% 1.11/0.97  % (21452)Time elapsed: 0.023 s
% 1.11/0.97  % (21452)Instructions burned: 71 (million)
% 1.11/0.97  % (21452)------------------------------
% 1.11/0.97  % (21452)------------------------------
% 1.11/0.97  % (21446)Instruction limit reached!
% 1.11/0.97  % (21446)------------------------------
% 1.11/0.97  % (21446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.97  % (21446)Termination reason: Unknown
% 1.11/0.97  % (21446)Termination phase: Saturation
% 1.11/0.97  
% 1.11/0.97  % (21446)Memory used [KB]: 2647
% 1.11/0.97  % (21446)Time elapsed: 0.040 s
% 1.11/0.97  % (21446)Instructions burned: 110 (million)
% 1.11/0.97  % (21446)------------------------------
% 1.11/0.97  % (21446)------------------------------
% 1.11/0.97  % (21472)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)
% 1.11/0.98  % (21473)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)
% 1.64/0.99  % (21450)Instruction limit reached!
% 1.64/0.99  % (21450)------------------------------
% 1.64/0.99  % (21450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/0.99  % (21450)Termination reason: Unknown
% 1.64/0.99  % (21450)Termination phase: Saturation
% 1.64/0.99  
% 1.64/0.99  % (21450)Memory used [KB]: 1600
% 1.64/0.99  % (21450)Time elapsed: 0.040 s
% 1.64/0.99  % (21450)Instructions burned: 161 (million)
% 1.64/0.99  % (21450)------------------------------
% 1.64/0.99  % (21450)------------------------------
% 1.64/0.99  % (21472)Instruction limit reached!
% 1.64/0.99  % (21472)------------------------------
% 1.64/0.99  % (21472)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/0.99  % (21472)Termination reason: Unknown
% 1.64/0.99  % (21472)Termination phase: Saturation
% 1.64/0.99  
% 1.64/0.99  % (21472)Memory used [KB]: 1944
% 1.64/0.99  % (21472)Time elapsed: 0.013 s
% 1.64/0.99  % (21472)Instructions burned: 37 (million)
% 1.64/0.99  % (21472)------------------------------
% 1.64/0.99  % (21472)------------------------------
% 1.64/0.99  % (21481)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2993ds/32Mi)
% 1.64/0.99  % (21480)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2993ds/47Mi)
% 1.64/0.99  % (21470)Instruction limit reached!
% 1.64/0.99  % (21470)------------------------------
% 1.64/0.99  % (21470)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/0.99  % (21470)Termination reason: Unknown
% 1.64/0.99  % (21470)Termination phase: Saturation
% 1.64/0.99  
% 1.64/0.99  % (21470)Memory used [KB]: 1731
% 1.64/0.99  % (21470)Time elapsed: 0.027 s
% 1.64/0.99  % (21470)Instructions burned: 82 (million)
% 1.64/0.99  % (21470)------------------------------
% 1.64/0.99  % (21470)------------------------------
% 1.64/0.99  % (21473)Instruction limit reached!
% 1.64/0.99  % (21473)------------------------------
% 1.64/0.99  % (21473)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/0.99  % (21473)Termination reason: Unknown
% 1.64/0.99  % (21473)Termination phase: Saturation
% 1.64/0.99  
% 1.64/0.99  % (21473)Memory used [KB]: 1835
% 1.64/0.99  % (21473)Time elapsed: 0.019 s
% 1.64/0.99  % (21473)Instructions burned: 56 (million)
% 1.64/0.99  % (21473)------------------------------
% 1.64/0.99  % (21473)------------------------------
% 1.64/1.00  % (21483)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2993ds/132Mi)
% 1.64/1.00  % (21484)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2993ds/54Mi)
% 1.64/1.00  % (21481)Instruction limit reached!
% 1.64/1.00  % (21481)------------------------------
% 1.64/1.00  % (21481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.00  % (21481)Termination reason: Unknown
% 1.64/1.00  % (21481)Termination phase: Saturation
% 1.64/1.00  
% 1.64/1.00  % (21481)Memory used [KB]: 1525
% 1.64/1.00  % (21481)Time elapsed: 0.010 s
% 1.64/1.00  % (21481)Instructions burned: 33 (million)
% 1.64/1.00  % (21481)------------------------------
% 1.64/1.00  % (21481)------------------------------
% 1.64/1.00  % (21487)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2993ds/82Mi)
% 1.64/1.01  % (21480)Instruction limit reached!
% 1.64/1.01  % (21480)------------------------------
% 1.64/1.01  % (21480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.01  % (21480)Termination reason: Unknown
% 1.64/1.01  % (21480)Termination phase: Saturation
% 1.64/1.01  
% 1.64/1.01  % (21480)Memory used [KB]: 2005
% 1.64/1.01  % (21480)Time elapsed: 0.020 s
% 1.64/1.01  % (21480)Instructions burned: 48 (million)
% 1.64/1.01  % (21480)------------------------------
% 1.64/1.01  % (21480)------------------------------
% 1.64/1.01  % (21491)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2993ds/119Mi)
% 1.64/1.01  % (21484)Instruction limit reached!
% 1.64/1.01  % (21484)------------------------------
% 1.64/1.01  % (21484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.01  % (21484)Termination reason: Unknown
% 1.64/1.01  % (21484)Termination phase: Saturation
% 1.64/1.01  
% 1.64/1.01  % (21484)Memory used [KB]: 2087
% 1.64/1.01  % (21484)Time elapsed: 0.018 s
% 1.64/1.01  % (21484)Instructions burned: 55 (million)
% 1.64/1.01  % (21484)------------------------------
% 1.64/1.01  % (21484)------------------------------
% 1.64/1.02  % (21468)Instruction limit reached!
% 1.64/1.02  % (21468)------------------------------
% 1.64/1.02  % (21468)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.02  % (21468)Termination reason: Unknown
% 1.64/1.02  % (21468)Termination phase: Saturation
% 1.64/1.02  
% 1.64/1.02  % (21468)Memory used [KB]: 2313
% 1.64/1.02  % (21468)Time elapsed: 0.050 s
% 1.64/1.02  % (21468)Instructions burned: 162 (million)
% 1.64/1.02  % (21468)------------------------------
% 1.64/1.02  % (21468)------------------------------
% 1.64/1.02  % (21496)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2993ds/177Mi)
% 1.64/1.02  % (21497)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2993ds/117Mi)
% 1.64/1.02  % (21487)Instruction limit reached!
% 1.64/1.02  % (21487)------------------------------
% 1.64/1.02  % (21487)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.02  % (21487)Termination reason: Unknown
% 1.64/1.02  % (21487)Termination phase: Saturation
% 1.64/1.02  
% 1.64/1.02  % (21487)Memory used [KB]: 2658
% 1.64/1.02  % (21487)Time elapsed: 0.024 s
% 1.64/1.02  % (21487)Instructions burned: 83 (million)
% 1.64/1.02  % (21487)------------------------------
% 1.64/1.02  % (21487)------------------------------
% 1.64/1.02  % (21498)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2993ds/49Mi)
% 1.64/1.03  % (21483)Instruction limit reached!
% 1.64/1.03  % (21483)------------------------------
% 1.64/1.03  % (21483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.03  % (21483)Termination reason: Unknown
% 1.64/1.03  % (21483)Termination phase: Saturation
% 1.64/1.03  
% 1.64/1.03  % (21483)Memory used [KB]: 1656
% 1.64/1.03  % (21483)Time elapsed: 0.037 s
% 1.64/1.03  % (21483)Instructions burned: 135 (million)
% 1.64/1.03  % (21483)------------------------------
% 1.64/1.03  % (21483)------------------------------
% 1.64/1.03  % (21370)Instruction limit reached!
% 1.64/1.03  % (21370)------------------------------
% 1.64/1.03  % (21370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.03  % (21370)Termination reason: Unknown
% 1.64/1.03  % (21370)Termination phase: Saturation
% 1.64/1.03  
% 1.64/1.03  % (21370)Memory used [KB]: 6061
% 1.64/1.03  % (21370)Time elapsed: 0.187 s
% 1.64/1.03  % (21370)Instructions burned: 519 (million)
% 1.64/1.03  % (21370)------------------------------
% 1.64/1.03  % (21370)------------------------------
% 1.64/1.03  % (21499)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2993ds/51Mi)
% 1.64/1.04  % (21500)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2993ds/149Mi)
% 1.64/1.04  % (21498)Instruction limit reached!
% 1.64/1.04  % (21498)------------------------------
% 1.64/1.04  % (21498)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.04  % (21498)Termination reason: Unknown
% 1.64/1.04  % (21498)Termination phase: Saturation
% 1.64/1.04  
% 1.64/1.04  % (21498)Memory used [KB]: 1975
% 1.64/1.04  % (21498)Time elapsed: 0.017 s
% 1.64/1.04  % (21498)Instructions burned: 49 (million)
% 1.64/1.04  % (21498)------------------------------
% 1.64/1.04  % (21498)------------------------------
% 1.64/1.04  % (21501)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2993ds/56Mi)
% 1.64/1.04  % (21463)First to succeed.
% 1.64/1.05  % (21491)Instruction limit reached!
% 1.64/1.05  % (21491)------------------------------
% 1.64/1.05  % (21491)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.05  % (21491)Termination reason: Unknown
% 1.64/1.05  % (21491)Termination phase: Saturation
% 1.64/1.05  
% 1.64/1.05  % (21491)Memory used [KB]: 2475
% 1.64/1.05  % (21491)Time elapsed: 0.037 s
% 1.64/1.05  % (21491)Instructions burned: 119 (million)
% 1.64/1.05  % (21491)------------------------------
% 1.64/1.05  % (21491)------------------------------
% 1.64/1.05  % (21463)Refutation found. Thanks to Tanya!
% 1.64/1.05  % SZS status Theorem for Vampire---4
% 1.64/1.05  % SZS output start Proof for Vampire---4
% See solution above
% 1.64/1.05  % (21463)------------------------------
% 1.64/1.05  % (21463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.64/1.05  % (21463)Termination reason: Refutation
% 1.64/1.05  
% 1.64/1.05  % (21463)Memory used [KB]: 3472
% 1.64/1.05  % (21463)Time elapsed: 0.087 s
% 1.64/1.05  % (21463)Instructions burned: 258 (million)
% 1.64/1.05  % (21463)------------------------------
% 1.64/1.05  % (21463)------------------------------
% 1.64/1.05  % (21283)Success in time 0.672 s
% 1.64/1.05  % Vampire---4.8 exiting
%------------------------------------------------------------------------------