TSTP Solution File: SWC013+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC013+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 03:59:12 EDT 2024

% Result   : Theorem 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   71 (   8 unt;   0 def)
%            Number of atoms       :  464 ( 147 equ)
%            Maximal formula atoms :   42 (   6 avg)
%            Number of connectives :  644 ( 251   ~; 242   |; 121   &)
%                                         (   8 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  122 (  86   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f275,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f233,f236,f239,f250,f268,f274]) ).

fof(f274,plain,
    ( spl9_4
    | ~ spl9_5
    | ~ spl9_8 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | spl9_4
    | ~ spl9_5
    | ~ spl9_8 ),
    inference(subsumption_resolution,[],[f271,f269]) ).

fof(f269,plain,
    ( ~ neq(nil,nil)
    | spl9_4
    | ~ spl9_8 ),
    inference(superposition,[],[f227,f264]) ).

fof(f264,plain,
    ( nil = sK3
    | ~ spl9_8 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl9_8
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).

fof(f227,plain,
    ( ~ neq(nil,sK3)
    | spl9_4 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl9_4
  <=> neq(nil,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f271,plain,
    ( neq(nil,nil)
    | ~ spl9_5
    | ~ spl9_8 ),
    inference(superposition,[],[f230,f264]) ).

fof(f230,plain,
    ( neq(sK3,nil)
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl9_5
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f268,plain,
    ( spl9_8
    | spl9_4 ),
    inference(avatar_split_clause,[],[f267,f225,f262]) ).

fof(f267,plain,
    ( nil = sK3
    | spl9_4 ),
    inference(subsumption_resolution,[],[f266,f172]) ).

fof(f172,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885',ax17) ).

fof(f266,plain,
    ( nil = sK3
    | ~ ssList(nil)
    | spl9_4 ),
    inference(subsumption_resolution,[],[f252,f148]) ).

fof(f148,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( ( ~ neq(sK3,nil)
        & neq(sK1,nil) )
      | ( ! [X4] :
            ( ! [X5] :
                ( ~ neq(nil,sK1)
                | hd(sK1) != X5
                | cons(X5,nil) != X4
                | ~ ssItem(X5) )
            | sK0 != X4
            | ~ ssList(X4) )
        & ! [X6] :
            ( ! [X7] :
                ( ~ neq(nil,sK3)
                | hd(sK3) != X7
                | cons(X7,nil) != X6
                | ~ ssItem(X7) )
            | sK2 = X6
            | ~ ssList(X6) )
        & neq(sK1,nil) ) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f100,f131,f130,f129,f128]) ).

fof(f128,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | ( ! [X4] :
                            ( ! [X5] :
                                ( ~ neq(nil,X1)
                                | hd(X1) != X5
                                | cons(X5,nil) != X4
                                | ~ ssItem(X5) )
                            | X0 != X4
                            | ~ ssList(X4) )
                        & ! [X6] :
                            ( ! [X7] :
                                ( ~ neq(nil,X3)
                                | hd(X3) != X7
                                | cons(X7,nil) != X6
                                | ~ ssItem(X7) )
                            | X2 = X6
                            | ~ ssList(X6) )
                        & neq(X1,nil) ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X1)
                              | hd(X1) != X5
                              | cons(X5,nil) != X4
                              | ~ ssItem(X5) )
                          | sK0 != X4
                          | ~ ssList(X4) )
                      & ! [X6] :
                          ( ! [X7] :
                              ( ~ neq(nil,X3)
                              | hd(X3) != X7
                              | cons(X7,nil) != X6
                              | ~ ssItem(X7) )
                          | X2 = X6
                          | ~ ssList(X6) )
                      & neq(X1,nil) ) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | ( ! [X4] :
                        ( ! [X5] :
                            ( ~ neq(nil,X1)
                            | hd(X1) != X5
                            | cons(X5,nil) != X4
                            | ~ ssItem(X5) )
                        | sK0 != X4
                        | ~ ssList(X4) )
                    & ! [X6] :
                        ( ! [X7] :
                            ( ~ neq(nil,X3)
                            | hd(X3) != X7
                            | cons(X7,nil) != X6
                            | ~ ssItem(X7) )
                        | X2 = X6
                        | ~ ssList(X6) )
                    & neq(X1,nil) ) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK1,nil) )
                | ( ! [X4] :
                      ( ! [X5] :
                          ( ~ neq(nil,sK1)
                          | hd(sK1) != X5
                          | cons(X5,nil) != X4
                          | ~ ssItem(X5) )
                      | sK0 != X4
                      | ~ ssList(X4) )
                  & ! [X6] :
                      ( ! [X7] :
                          ( ~ neq(nil,X3)
                          | hd(X3) != X7
                          | cons(X7,nil) != X6
                          | ~ ssItem(X7) )
                      | X2 = X6
                      | ~ ssList(X6) )
                  & neq(sK1,nil) ) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK1,nil) )
              | ( ! [X4] :
                    ( ! [X5] :
                        ( ~ neq(nil,sK1)
                        | hd(sK1) != X5
                        | cons(X5,nil) != X4
                        | ~ ssItem(X5) )
                    | sK0 != X4
                    | ~ ssList(X4) )
                & ! [X6] :
                    ( ! [X7] :
                        ( ~ neq(nil,X3)
                        | hd(X3) != X7
                        | cons(X7,nil) != X6
                        | ~ ssItem(X7) )
                    | X2 = X6
                    | ~ ssList(X6) )
                & neq(sK1,nil) ) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK1,nil) )
            | ( ! [X4] :
                  ( ! [X5] :
                      ( ~ neq(nil,sK1)
                      | hd(sK1) != X5
                      | cons(X5,nil) != X4
                      | ~ ssItem(X5) )
                  | sK0 != X4
                  | ~ ssList(X4) )
              & ! [X6] :
                  ( ! [X7] :
                      ( ~ neq(nil,X3)
                      | hd(X3) != X7
                      | cons(X7,nil) != X6
                      | ~ ssItem(X7) )
                  | sK2 = X6
                  | ~ ssList(X6) )
              & neq(sK1,nil) ) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK1,nil) )
          | ( ! [X4] :
                ( ! [X5] :
                    ( ~ neq(nil,sK1)
                    | hd(sK1) != X5
                    | cons(X5,nil) != X4
                    | ~ ssItem(X5) )
                | sK0 != X4
                | ~ ssList(X4) )
            & ! [X6] :
                ( ! [X7] :
                    ( ~ neq(nil,X3)
                    | hd(X3) != X7
                    | cons(X7,nil) != X6
                    | ~ ssItem(X7) )
                | sK2 = X6
                | ~ ssList(X6) )
            & neq(sK1,nil) ) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK3,nil)
          & neq(sK1,nil) )
        | ( ! [X4] :
              ( ! [X5] :
                  ( ~ neq(nil,sK1)
                  | hd(sK1) != X5
                  | cons(X5,nil) != X4
                  | ~ ssItem(X5) )
              | sK0 != X4
              | ~ ssList(X4) )
          & ! [X6] :
              ( ! [X7] :
                  ( ~ neq(nil,sK3)
                  | hd(sK3) != X7
                  | cons(X7,nil) != X6
                  | ~ ssItem(X7) )
              | sK2 = X6
              | ~ ssList(X6) )
          & neq(sK1,nil) ) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X1)
                              | hd(X1) != X5
                              | cons(X5,nil) != X4
                              | ~ ssItem(X5) )
                          | X0 != X4
                          | ~ ssList(X4) )
                      & ! [X6] :
                          ( ! [X7] :
                              ( ~ neq(nil,X3)
                              | hd(X3) != X7
                              | cons(X7,nil) != X6
                              | ~ ssItem(X7) )
                          | X2 = X6
                          | ~ ssList(X6) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X1)
                              | hd(X1) != X5
                              | cons(X5,nil) != X4
                              | ~ ssItem(X5) )
                          | X0 != X4
                          | ~ ssList(X4) )
                      & ! [X6] :
                          ( ! [X7] :
                              ( ~ neq(nil,X3)
                              | hd(X3) != X7
                              | cons(X7,nil) != X6
                              | ~ ssItem(X7) )
                          | X2 = X6
                          | ~ ssList(X6) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( neq(X3,nil)
                          | ~ neq(X1,nil) )
                        & ( ? [X4] :
                              ( ? [X5] :
                                  ( neq(nil,X1)
                                  & hd(X1) = X5
                                  & cons(X5,nil) = X4
                                  & ssItem(X5) )
                              & X0 = X4
                              & ssList(X4) )
                          | ? [X6] :
                              ( ? [X7] :
                                  ( neq(nil,X3)
                                  & hd(X3) = X7
                                  & cons(X7,nil) = X6
                                  & ssItem(X7) )
                              & X2 != X6
                              & ssList(X6) )
                          | ~ neq(X1,nil) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( neq(X3,nil)
                          | ~ neq(X1,nil) )
                        & ( ? [X6] :
                              ( ? [X7] :
                                  ( neq(nil,X1)
                                  & hd(X1) = X7
                                  & cons(X7,nil) = X6
                                  & ssItem(X7) )
                              & X0 = X6
                              & ssList(X6) )
                          | ? [X4] :
                              ( ? [X5] :
                                  ( neq(nil,X3)
                                  & hd(X3) = X5
                                  & cons(X5,nil) = X4
                                  & ssItem(X5) )
                              & X2 != X4
                              & ssList(X4) )
                          | ~ neq(X1,nil) ) )
                      | 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)
                        | ~ neq(X1,nil) )
                      & ( ? [X6] :
                            ( ? [X7] :
                                ( neq(nil,X1)
                                & hd(X1) = X7
                                & cons(X7,nil) = X6
                                & ssItem(X7) )
                            & X0 = X6
                            & ssList(X6) )
                        | ? [X4] :
                            ( ? [X5] :
                                ( neq(nil,X3)
                                & hd(X3) = X5
                                & cons(X5,nil) = X4
                                & ssItem(X5) )
                            & X2 != X4
                            & ssList(X4) )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885',co1) ).

fof(f252,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | ~ ssList(nil)
    | spl9_4 ),
    inference(resolution,[],[f227,f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,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/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885',ax15) ).

fof(f250,plain,
    ( spl9_3
    | ~ spl9_5 ),
    inference(avatar_contradiction_clause,[],[f249]) ).

fof(f249,plain,
    ( $false
    | spl9_3
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f248,f172]) ).

fof(f248,plain,
    ( ~ ssList(nil)
    | spl9_3
    | ~ spl9_5 ),
    inference(resolution,[],[f244,f208]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f244,plain,
    ( neq(nil,nil)
    | spl9_3
    | ~ spl9_5 ),
    inference(superposition,[],[f230,f241]) ).

fof(f241,plain,
    ( nil = sK3
    | spl9_3 ),
    inference(subsumption_resolution,[],[f240,f148]) ).

fof(f240,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | spl9_3 ),
    inference(resolution,[],[f223,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885',ax22) ).

fof(f223,plain,
    ( ~ ssItem(hd(sK3))
    | spl9_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl9_3
  <=> ssItem(hd(sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f239,plain,
    ( ~ spl9_3
    | spl9_1 ),
    inference(avatar_split_clause,[],[f238,f213,f221]) ).

fof(f213,plain,
    ( spl9_1
  <=> ssList(cons(hd(sK3),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f238,plain,
    ( ~ ssItem(hd(sK3))
    | spl9_1 ),
    inference(subsumption_resolution,[],[f237,f172]) ).

fof(f237,plain,
    ( ~ ssItem(hd(sK3))
    | ~ ssList(nil)
    | spl9_1 ),
    inference(resolution,[],[f215,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885',ax16) ).

fof(f215,plain,
    ( ~ ssList(cons(hd(sK3),nil))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f236,plain,
    spl9_5,
    inference(avatar_split_clause,[],[f211,f229]) ).

fof(f211,plain,
    neq(sK3,nil),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ( neq(sK3,nil)
    | neq(sK3,nil) ),
    inference(definition_unfolding,[],[f151,f149,f149]) ).

fof(f149,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f132]) ).

fof(f151,plain,
    ( neq(sK1,nil)
    | neq(sK1,nil) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f233,plain,
    ( ~ spl9_1
    | spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f199,f229,f225,f221,f217,f213]) ).

fof(f217,plain,
    ( spl9_2
  <=> sK2 = cons(hd(sK3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f199,plain,
    ( ~ neq(sK3,nil)
    | ~ neq(nil,sK3)
    | ~ ssItem(hd(sK3))
    | sK2 = cons(hd(sK3),nil)
    | ~ ssList(cons(hd(sK3),nil)) ),
    inference(equality_resolution,[],[f198]) ).

fof(f198,plain,
    ! [X6] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | cons(hd(sK3),nil) != X6
      | ~ ssItem(hd(sK3))
      | sK2 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f155]) ).

fof(f155,plain,
    ! [X6,X7] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | hd(sK3) != X7
      | cons(X7,nil) != X6
      | ~ ssItem(X7)
      | sK2 = X6
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f232,plain,
    ( ~ spl9_1
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(avatar_split_clause,[],[f197,f229,f225,f221,f217,f213]) ).

fof(f197,plain,
    ( ~ neq(sK3,nil)
    | ~ neq(nil,sK3)
    | ~ ssItem(hd(sK3))
    | sK2 != cons(hd(sK3),nil)
    | ~ ssList(cons(hd(sK3),nil)) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,plain,
    ! [X4] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | cons(hd(sK3),nil) != X4
      | ~ ssItem(hd(sK3))
      | sK2 != X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f189]) ).

fof(f189,plain,
    ! [X4,X5] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | hd(sK3) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK2 != X4
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f156,f149,f149,f150]) ).

fof(f150,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f132]) ).

fof(f156,plain,
    ! [X4,X5] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK1)
      | hd(sK1) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK0 != X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:37:55 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.l3tL2K9rQ3/Vampire---4.8_31885
% 0.63/0.82  % (31998)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)
% 0.63/0.82  % (32000)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)
% 0.63/0.82  % (31999)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)
% 0.63/0.82  % (31997)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)
% 0.63/0.82  % (31995)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)
% 0.63/0.82  % (31994)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)
% 0.63/0.82  % (31996)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.82  % (32001)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)
% 0.63/0.82  % (32001)Refutation not found, incomplete strategy% (32001)------------------------------
% 0.63/0.82  % (32001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (32001)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82  
% 0.63/0.82  % (32001)Memory used [KB]: 1149
% 0.63/0.82  % (32001)Time elapsed: 0.004 s
% 0.63/0.82  % (32001)Instructions burned: 5 (million)
% 0.63/0.82  % (32001)------------------------------
% 0.63/0.82  % (32001)------------------------------
% 0.63/0.82  % (31999)First to succeed.
% 0.63/0.82  % (31996)Also succeeded, but the first one will report.
% 0.63/0.82  % (31999)Refutation found. Thanks to Tanya!
% 0.63/0.82  % SZS status Theorem for Vampire---4
% 0.63/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82  % (31999)------------------------------
% 0.63/0.82  % (31999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82  % (31999)Termination reason: Refutation
% 0.63/0.82  
% 0.63/0.82  % (31999)Memory used [KB]: 1169
% 0.63/0.82  % (31999)Time elapsed: 0.006 s
% 0.63/0.82  % (31999)Instructions burned: 8 (million)
% 0.63/0.82  % (31999)------------------------------
% 0.63/0.82  % (31999)------------------------------
% 0.63/0.82  % (31993)Success in time 0.48 s
% 0.63/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------