TSTP Solution File: SWC010+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC010+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 : n020.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 03:59:11 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   48 (   5 unt;   0 def)
%            Number of atoms       :  461 ( 136 equ)
%            Maximal formula atoms :   46 (   9 avg)
%            Number of connectives :  621 ( 208   ~; 188   |; 190   &)
%                                         (   7 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  158 (  83   !;  75   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f649,plain,
    $false,
    inference(avatar_sat_refutation,[],[f611,f616,f621,f626,f631,f635,f643,f648]) ).

fof(f648,plain,
    ( ~ spl54_5
    | ~ spl54_6
    | ~ spl54_7
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_8 ),
    inference(avatar_split_clause,[],[f647,f633,f613,f608,f628,f623,f618]) ).

fof(f618,plain,
    ( spl54_5
  <=> ssList(sK53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_5])]) ).

fof(f623,plain,
    ( spl54_6
  <=> ssList(sK52) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).

fof(f628,plain,
    ( spl54_7
  <=> ssItem(sK51) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).

fof(f608,plain,
    ( spl54_3
  <=> sK49 = app(sK52,sK53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_3])]) ).

fof(f613,plain,
    ( spl54_4
  <=> sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_4])]) ).

fof(f633,plain,
    ( spl54_8
  <=> ! [X9,X8,X10] :
        ( app(X9,X10) != sK49
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,cons(X8,nil)),X10) != sK50 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_8])]) ).

fof(f647,plain,
    ( ~ ssItem(sK51)
    | ~ ssList(sK52)
    | ~ ssList(sK53)
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_8 ),
    inference(trivial_inequality_removal,[],[f646]) ).

fof(f646,plain,
    ( sK49 != sK49
    | ~ ssItem(sK51)
    | ~ ssList(sK52)
    | ~ ssList(sK53)
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_8 ),
    inference(forward_demodulation,[],[f645,f610]) ).

fof(f610,plain,
    ( sK49 = app(sK52,sK53)
    | ~ spl54_3 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f645,plain,
    ( ~ ssItem(sK51)
    | ~ ssList(sK52)
    | ~ ssList(sK53)
    | sK49 != app(sK52,sK53)
    | ~ spl54_4
    | ~ spl54_8 ),
    inference(trivial_inequality_removal,[],[f644]) ).

fof(f644,plain,
    ( sK50 != sK50
    | ~ ssItem(sK51)
    | ~ ssList(sK52)
    | ~ ssList(sK53)
    | sK49 != app(sK52,sK53)
    | ~ spl54_4
    | ~ spl54_8 ),
    inference(superposition,[],[f634,f615]) ).

fof(f615,plain,
    ( sK50 = app(app(sK52,cons(sK51,nil)),sK53)
    | ~ spl54_4 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f634,plain,
    ( ! [X10,X8,X9] :
        ( app(app(X9,cons(X8,nil)),X10) != sK50
        | ~ ssItem(X8)
        | ~ ssList(X9)
        | ~ ssList(X10)
        | app(X9,X10) != sK49 )
    | ~ spl54_8 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f643,plain,
    spl54_2,
    inference(avatar_split_clause,[],[f591,f603]) ).

fof(f603,plain,
    ( spl54_2
  <=> neq(sK50,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).

fof(f591,plain,
    neq(sK50,nil),
    inference(duplicate_literal_removal,[],[f561]) ).

fof(f561,plain,
    ( neq(sK50,nil)
    | neq(sK50,nil) ),
    inference(definition_unfolding,[],[f536,f534,f534]) ).

fof(f534,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f339]) ).

fof(f339,plain,
    ( ( ( ~ neq(sK50,nil)
        & neq(sK48,nil) )
      | ( ! [X7] :
            ( ~ geq(X7,sK51)
            | ~ memberP(sK50,X7)
            | sK51 = X7
            | ~ ssItem(X7) )
        & sK49 = app(sK52,sK53)
        & sK50 = app(app(sK52,cons(sK51,nil)),sK53)
        & ssList(sK53)
        & ssList(sK52)
        & ssItem(sK51)
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(X9,X10) != sK47
                    | app(app(X9,cons(X8,nil)),X10) != sK48
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(sK48,nil) ) )
    & sK47 = sK49
    & sK48 = sK50
    & ssList(sK50)
    & ssList(sK49)
    & ssList(sK48)
    & ssList(sK47) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52,sK53])],[f223,f338,f337,f336,f335,f334,f333,f332]) ).

fof(f332,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | ( ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( ! [X7] :
                                        ( ~ geq(X7,X4)
                                        | ~ memberP(X3,X7)
                                        | X4 = X7
                                        | ~ ssItem(X7) )
                                    & app(X5,X6) = X2
                                    & app(app(X5,cons(X4,nil)),X6) = X3
                                    & ssList(X6) )
                                & ssList(X5) )
                            & ssItem(X4) )
                        & ! [X8] :
                            ( ! [X9] :
                                ( ! [X10] :
                                    ( app(X9,X10) != X0
                                    | app(app(X9,cons(X8,nil)),X10) != X1
                                    | ~ ssList(X10) )
                                | ~ ssList(X9) )
                            | ~ ssItem(X8) )
                        & 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] :
                              ( ? [X6] :
                                  ( ! [X7] :
                                      ( ~ geq(X7,X4)
                                      | ~ memberP(X3,X7)
                                      | X4 = X7
                                      | ~ ssItem(X7) )
                                  & app(X5,X6) = X2
                                  & app(app(X5,cons(X4,nil)),X6) = X3
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      & ! [X8] :
                          ( ! [X9] :
                              ( ! [X10] :
                                  ( app(X9,X10) != sK47
                                  | app(app(X9,cons(X8,nil)),X10) != X1
                                  | ~ ssList(X10) )
                              | ~ ssList(X9) )
                          | ~ ssItem(X8) )
                      & neq(X1,nil) ) )
                  & sK47 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK47) ) ),
    introduced(choice_axiom,[]) ).

fof(f333,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ! [X7] :
                                    ( ~ geq(X7,X4)
                                    | ~ memberP(X3,X7)
                                    | X4 = X7
                                    | ~ ssItem(X7) )
                                & app(X5,X6) = X2
                                & app(app(X5,cons(X4,nil)),X6) = X3
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ! [X10] :
                                ( app(X9,X10) != sK47
                                | app(app(X9,cons(X8,nil)),X10) != X1
                                | ~ ssList(X10) )
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    & neq(X1,nil) ) )
                & sK47 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK48,nil) )
                | ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ! [X7] :
                                  ( ~ geq(X7,X4)
                                  | ~ memberP(X3,X7)
                                  | X4 = X7
                                  | ~ ssItem(X7) )
                              & app(X5,X6) = X2
                              & app(app(X5,cons(X4,nil)),X6) = X3
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( app(X9,X10) != sK47
                              | app(app(X9,cons(X8,nil)),X10) != sK48
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & neq(sK48,nil) ) )
              & sK47 = X2
              & sK48 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK48) ) ),
    introduced(choice_axiom,[]) ).

fof(f334,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK48,nil) )
              | ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ! [X7] :
                                ( ~ geq(X7,X4)
                                | ~ memberP(X3,X7)
                                | X4 = X7
                                | ~ ssItem(X7) )
                            & app(X5,X6) = X2
                            & app(app(X5,cons(X4,nil)),X6) = X3
                            & ssList(X6) )
                        & ssList(X5) )
                    & ssItem(X4) )
                & ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( app(X9,X10) != sK47
                            | app(app(X9,cons(X8,nil)),X10) != sK48
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                & neq(sK48,nil) ) )
            & sK47 = X2
            & sK48 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK48,nil) )
            | ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ! [X7] :
                              ( ~ geq(X7,X4)
                              | ~ memberP(X3,X7)
                              | X4 = X7
                              | ~ ssItem(X7) )
                          & app(X5,X6) = sK49
                          & app(app(X5,cons(X4,nil)),X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & ssItem(X4) )
              & ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( app(X9,X10) != sK47
                          | app(app(X9,cons(X8,nil)),X10) != sK48
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              & neq(sK48,nil) ) )
          & sK47 = sK49
          & sK48 = X3
          & ssList(X3) )
      & ssList(sK49) ) ),
    introduced(choice_axiom,[]) ).

fof(f335,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK48,nil) )
          | ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ! [X7] :
                            ( ~ geq(X7,X4)
                            | ~ memberP(X3,X7)
                            | X4 = X7
                            | ~ ssItem(X7) )
                        & app(X5,X6) = sK49
                        & app(app(X5,cons(X4,nil)),X6) = X3
                        & ssList(X6) )
                    & ssList(X5) )
                & ssItem(X4) )
            & ! [X8] :
                ( ! [X9] :
                    ( ! [X10] :
                        ( app(X9,X10) != sK47
                        | app(app(X9,cons(X8,nil)),X10) != sK48
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            & neq(sK48,nil) ) )
        & sK47 = sK49
        & sK48 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK50,nil)
          & neq(sK48,nil) )
        | ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ! [X7] :
                          ( ~ geq(X7,X4)
                          | ~ memberP(sK50,X7)
                          | X4 = X7
                          | ~ ssItem(X7) )
                      & app(X5,X6) = sK49
                      & app(app(X5,cons(X4,nil)),X6) = sK50
                      & ssList(X6) )
                  & ssList(X5) )
              & ssItem(X4) )
          & ! [X8] :
              ( ! [X9] :
                  ( ! [X10] :
                      ( app(X9,X10) != sK47
                      | app(app(X9,cons(X8,nil)),X10) != sK48
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              | ~ ssItem(X8) )
          & neq(sK48,nil) ) )
      & sK47 = sK49
      & sK48 = sK50
      & ssList(sK50) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( ~ geq(X7,X4)
                    | ~ memberP(sK50,X7)
                    | X4 = X7
                    | ~ ssItem(X7) )
                & app(X5,X6) = sK49
                & app(app(X5,cons(X4,nil)),X6) = sK50
                & ssList(X6) )
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( ~ geq(X7,sK51)
                  | ~ memberP(sK50,X7)
                  | sK51 = X7
                  | ~ ssItem(X7) )
              & app(X5,X6) = sK49
              & sK50 = app(app(X5,cons(sK51,nil)),X6)
              & ssList(X6) )
          & ssList(X5) )
      & ssItem(sK51) ) ),
    introduced(choice_axiom,[]) ).

fof(f337,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ! [X7] :
                ( ~ geq(X7,sK51)
                | ~ memberP(sK50,X7)
                | sK51 = X7
                | ~ ssItem(X7) )
            & app(X5,X6) = sK49
            & sK50 = app(app(X5,cons(sK51,nil)),X6)
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( ! [X7] :
              ( ~ geq(X7,sK51)
              | ~ memberP(sK50,X7)
              | sK51 = X7
              | ~ ssItem(X7) )
          & sK49 = app(sK52,X6)
          & sK50 = app(app(sK52,cons(sK51,nil)),X6)
          & ssList(X6) )
      & ssList(sK52) ) ),
    introduced(choice_axiom,[]) ).

fof(f338,plain,
    ( ? [X6] :
        ( ! [X7] :
            ( ~ geq(X7,sK51)
            | ~ memberP(sK50,X7)
            | sK51 = X7
            | ~ ssItem(X7) )
        & sK49 = app(sK52,X6)
        & sK50 = app(app(sK52,cons(sK51,nil)),X6)
        & ssList(X6) )
   => ( ! [X7] :
          ( ~ geq(X7,sK51)
          | ~ memberP(sK50,X7)
          | sK51 = X7
          | ~ ssItem(X7) )
      & sK49 = app(sK52,sK53)
      & sK50 = app(app(sK52,cons(sK51,nil)),sK53)
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ! [X7] :
                                      ( ~ geq(X7,X4)
                                      | ~ memberP(X3,X7)
                                      | X4 = X7
                                      | ~ ssItem(X7) )
                                  & app(X5,X6) = X2
                                  & app(app(X5,cons(X4,nil)),X6) = X3
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      & ! [X8] :
                          ( ! [X9] :
                              ( ! [X10] :
                                  ( app(X9,X10) != X0
                                  | app(app(X9,cons(X8,nil)),X10) != X1
                                  | ~ ssList(X10) )
                              | ~ ssList(X9) )
                          | ~ ssItem(X8) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( ! [X7] :
                                      ( ~ geq(X7,X4)
                                      | ~ memberP(X3,X7)
                                      | X4 = X7
                                      | ~ ssItem(X7) )
                                  & app(X5,X6) = X2
                                  & app(app(X5,cons(X4,nil)),X6) = X3
                                  & ssList(X6) )
                              & ssList(X5) )
                          & ssItem(X4) )
                      & ! [X8] :
                          ( ! [X9] :
                              ( ! [X10] :
                                  ( app(X9,X10) != X0
                                  | app(app(X9,cons(X8,nil)),X10) != X1
                                  | ~ ssList(X10) )
                              | ~ ssList(X9) )
                          | ~ ssItem(X8) )
                      & 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] :
                              ( ssItem(X4)
                             => ! [X5] :
                                  ( ssList(X5)
                                 => ! [X6] :
                                      ( ssList(X6)
                                     => ( ? [X7] :
                                            ( geq(X7,X4)
                                            & memberP(X3,X7)
                                            & X4 != X7
                                            & ssItem(X7) )
                                        | app(X5,X6) != X2
                                        | app(app(X5,cons(X4,nil)),X6) != X3 ) ) ) )
                          | ? [X8] :
                              ( ? [X9] :
                                  ( ? [X10] :
                                      ( app(X9,X10) = X0
                                      & app(app(X9,cons(X8,nil)),X10) = X1
                                      & ssList(X10) )
                                  & ssList(X9) )
                              & ssItem(X8) )
                          | ~ 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) )
                        & ( ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( ? [X10] :
                                            ( geq(X10,X7)
                                            & memberP(X3,X10)
                                            & X7 != X10
                                            & ssItem(X10) )
                                        | app(X8,X9) != X2
                                        | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                          | ? [X4] :
                              ( ? [X5] :
                                  ( ? [X6] :
                                      ( app(X5,X6) = X0
                                      & app(app(X5,cons(X4,nil)),X6) = X1
                                      & ssList(X6) )
                                  & ssList(X5) )
                              & ssItem(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) )
                      & ( ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( ? [X10] :
                                          ( geq(X10,X7)
                                          & memberP(X3,X10)
                                          & X7 != X10
                                          & ssItem(X10) )
                                      | app(X8,X9) != X2
                                      | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                        | ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( app(X5,X6) = X0
                                    & app(app(X5,cons(X4,nil)),X6) = X1
                                    & ssList(X6) )
                                & ssList(X5) )
                            & ssItem(X4) )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jzdaRm9Jfv/Vampire---4.8_21232',co1) ).

fof(f536,plain,
    ( neq(sK48,nil)
    | neq(sK48,nil) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f635,plain,
    ( spl54_8
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f552,f603,f633]) ).

fof(f552,plain,
    ! [X10,X8,X9] :
      ( ~ neq(sK50,nil)
      | app(X9,X10) != sK49
      | app(app(X9,cons(X8,nil)),X10) != sK50
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(definition_unfolding,[],[f545,f535,f534]) ).

fof(f535,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f339]) ).

fof(f545,plain,
    ! [X10,X8,X9] :
      ( ~ neq(sK50,nil)
      | app(X9,X10) != sK47
      | app(app(X9,cons(X8,nil)),X10) != sK48
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f631,plain,
    ( spl54_7
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f546,f603,f628]) ).

fof(f546,plain,
    ( ~ neq(sK50,nil)
    | ssItem(sK51) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f626,plain,
    ( spl54_6
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f547,f603,f623]) ).

fof(f547,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK52) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f621,plain,
    ( spl54_5
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f548,f603,f618]) ).

fof(f548,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f616,plain,
    ( spl54_4
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f549,f603,f613]) ).

fof(f549,plain,
    ( ~ neq(sK50,nil)
    | sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f611,plain,
    ( spl54_3
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f550,f603,f608]) ).

fof(f550,plain,
    ( ~ neq(sK50,nil)
    | sK49 = app(sK52,sK53) ),
    inference(cnf_transformation,[],[f339]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC010+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.16/0.37  % Computer : n020.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:17:47 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.jzdaRm9Jfv/Vampire---4.8_21232
% 0.54/0.75  % (21489)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 (2996ds/83Mi)
% 0.54/0.76  % (21483)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 (2996ds/34Mi)
% 0.54/0.76  % (21485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (21484)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 (2996ds/51Mi)
% 0.54/0.76  % (21487)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 (2996ds/34Mi)
% 0.54/0.76  % (21486)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (21488)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.77  % (21484)First to succeed.
% 0.60/0.77  % (21490)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 (2996ds/56Mi)
% 0.60/0.77  % (21484)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (21484)------------------------------
% 0.60/0.77  % (21484)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (21484)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (21484)Memory used [KB]: 1451
% 0.60/0.77  % (21484)Time elapsed: 0.013 s
% 0.60/0.77  % (21484)Instructions burned: 19 (million)
% 0.60/0.77  % (21484)------------------------------
% 0.60/0.77  % (21484)------------------------------
% 0.60/0.77  % (21479)Success in time 0.381 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------