TSTP Solution File: SWC378+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC378+1 : TPTP v8.2.0. 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 : n011.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 : Tue May 21 04:38:33 EDT 2024

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   79 (  11 unt;   0 def)
%            Number of atoms       :  428 (  72 equ)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :  530 ( 181   ~; 188   |; 132   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  128 (  76   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f698,plain,
    $false,
    inference(avatar_sat_refutation,[],[f212,f213,f689,f695]) ).

fof(f695,plain,
    ( ~ spl13_1
    | spl13_2 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

fof(f694,plain,
    ( $false
    | ~ spl13_1
    | spl13_2 ),
    inference(subsumption_resolution,[],[f693,f206]) ).

fof(f206,plain,
    ( memberP(sK3,sK4)
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f205,plain,
    ( spl13_1
  <=> memberP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f693,plain,
    ( ~ memberP(sK3,sK4)
    | spl13_2 ),
    inference(subsumption_resolution,[],[f690,f157]) ).

fof(f157,plain,
    ssItem(sK4),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( ~ memberP(sK0,sK4)
      | ~ memberP(sK1,sK4) )
    & ( memberP(sK0,sK4)
      | memberP(sK1,sK4) )
    & ssItem(sK4)
    & sK2 = app(sK6,sK5)
    & sK3 = app(sK5,sK6)
    & ssList(sK6)
    & ssList(sK5)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f99,f128,f127,f126,f125,f124,f123,f122]) ).

fof(f122,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ( ~ memberP(X0,X4)
                          | ~ memberP(X1,X4) )
                        & ( memberP(X0,X4)
                          | memberP(X1,X4) )
                        & ssItem(X4) )
                    & ? [X5] :
                        ( ? [X6] :
                            ( app(X6,X5) = X2
                            & app(X5,X6) = X3
                            & ssList(X6) )
                        & ssList(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ( ~ memberP(sK0,X4)
                        | ~ memberP(X1,X4) )
                      & ( memberP(sK0,X4)
                        | memberP(X1,X4) )
                      & ssItem(X4) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ( ~ memberP(sK0,X4)
                      | ~ memberP(X1,X4) )
                    & ( memberP(sK0,X4)
                      | memberP(X1,X4) )
                    & ssItem(X4) )
                & ? [X5] :
                    ( ? [X6] :
                        ( app(X6,X5) = X2
                        & app(X5,X6) = X3
                        & ssList(X6) )
                    & ssList(X5) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ( ~ memberP(sK0,X4)
                    | ~ memberP(sK1,X4) )
                  & ( memberP(sK0,X4)
                    | memberP(sK1,X4) )
                  & ssItem(X4) )
              & ? [X5] :
                  ( ? [X6] :
                      ( app(X6,X5) = X2
                      & app(X5,X6) = X3
                      & ssList(X6) )
                  & ssList(X5) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ( ~ memberP(sK0,X4)
                  | ~ memberP(sK1,X4) )
                & ( memberP(sK0,X4)
                  | memberP(sK1,X4) )
                & ssItem(X4) )
            & ? [X5] :
                ( ? [X6] :
                    ( app(X6,X5) = X2
                    & app(X5,X6) = X3
                    & ssList(X6) )
                & ssList(X5) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ( ~ memberP(sK0,X4)
                | ~ memberP(sK1,X4) )
              & ( memberP(sK0,X4)
                | memberP(sK1,X4) )
              & ssItem(X4) )
          & ? [X5] :
              ( ? [X6] :
                  ( app(X6,X5) = sK2
                  & app(X5,X6) = X3
                  & ssList(X6) )
              & ssList(X5) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ( ~ memberP(sK0,X4)
              | ~ memberP(sK1,X4) )
            & ( memberP(sK0,X4)
              | memberP(sK1,X4) )
            & ssItem(X4) )
        & ? [X5] :
            ( ? [X6] :
                ( app(X6,X5) = sK2
                & app(X5,X6) = X3
                & ssList(X6) )
            & ssList(X5) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ( ~ memberP(sK0,X4)
            | ~ memberP(sK1,X4) )
          & ( memberP(sK0,X4)
            | memberP(sK1,X4) )
          & ssItem(X4) )
      & ? [X5] :
          ( ? [X6] :
              ( app(X6,X5) = sK2
              & app(X5,X6) = sK3
              & ssList(X6) )
          & ssList(X5) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X4] :
        ( ( ~ memberP(sK0,X4)
          | ~ memberP(sK1,X4) )
        & ( memberP(sK0,X4)
          | memberP(sK1,X4) )
        & ssItem(X4) )
   => ( ( ~ memberP(sK0,sK4)
        | ~ memberP(sK1,sK4) )
      & ( memberP(sK0,sK4)
        | memberP(sK1,sK4) )
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( app(X6,X5) = sK2
            & app(X5,X6) = sK3
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( sK2 = app(X6,sK5)
          & sK3 = app(sK5,X6)
          & ssList(X6) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X6] :
        ( sK2 = app(X6,sK5)
        & sK3 = app(sK5,X6)
        & ssList(X6) )
   => ( sK2 = app(sK6,sK5)
      & sK3 = app(sK5,sK6)
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ( ~ memberP(X0,X4)
                        | ~ memberP(X1,X4) )
                      & ( memberP(X0,X4)
                        | memberP(X1,X4) )
                      & ssItem(X4) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & 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] :
                    ( ! [X4] :
                        ( ( memberP(X0,X4)
                          & memberP(X1,X4) )
                        | ( ~ memberP(X0,X4)
                          & ~ memberP(X1,X4) )
                        | ~ ssItem(X4) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( app(X6,X5) != X2
                            | app(X5,X6) != X3
                            | ~ ssList(X6) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ! [X6] :
                        ( ( memberP(X0,X6)
                          & memberP(X1,X6) )
                        | ( ~ memberP(X0,X6)
                          & ~ memberP(X1,X6) )
                        | ~ ssItem(X6) )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( app(X5,X4) != X2
                            | app(X4,X5) != X3
                            | ~ ssList(X5) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ! [X6] :
                      ( ( memberP(X0,X6)
                        & memberP(X1,X6) )
                      | ( ~ memberP(X0,X6)
                        & ~ memberP(X1,X6) )
                      | ~ ssItem(X6) )
                  | ! [X4] :
                      ( ssList(X4)
                     => ! [X5] :
                          ( app(X5,X4) != X2
                          | app(X4,X5) != X3
                          | ~ ssList(X5) ) )
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f690,plain,
    ( ~ ssItem(sK4)
    | ~ memberP(sK3,sK4)
    | spl13_2 ),
    inference(resolution,[],[f211,f674]) ).

fof(f674,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ ssItem(X0)
      | ~ memberP(sK3,X0) ),
    inference(subsumption_resolution,[],[f673,f150]) ).

fof(f150,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f129]) ).

fof(f673,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ ssItem(X0)
      | ~ memberP(sK3,X0)
      | ~ ssList(sK3) ),
    inference(subsumption_resolution,[],[f672,f153]) ).

fof(f153,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f129]) ).

fof(f672,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ ssItem(X0)
      | ~ memberP(sK3,X0)
      | ~ ssList(sK5)
      | ~ ssList(sK3) ),
    inference(duplicate_literal_removal,[],[f669]) ).

fof(f669,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ ssItem(X0)
      | ~ memberP(sK3,X0)
      | ~ ssList(sK5)
      | ~ ssList(sK3)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f649,f179]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f649,plain,
    ! [X0] :
      ( ~ memberP(app(sK3,sK5),X0)
      | memberP(sK2,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f648,f293]) ).

fof(f293,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ memberP(sK5,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f292,f154]) ).

fof(f154,plain,
    ssList(sK6),
    inference(cnf_transformation,[],[f129]) ).

fof(f292,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ memberP(sK5,X0)
      | ~ ssList(sK6)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f269,f153]) ).

fof(f269,plain,
    ! [X0] :
      ( memberP(sK2,X0)
      | ~ memberP(sK5,X0)
      | ~ ssList(sK5)
      | ~ ssList(sK6)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f180,f156]) ).

fof(f156,plain,
    sK2 = app(sK6,sK5),
    inference(cnf_transformation,[],[f129]) ).

fof(f180,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ memberP(app(sK3,sK5),X0)
      | memberP(sK5,X0)
      | memberP(sK2,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f647,f153]) ).

fof(f647,plain,
    ! [X0] :
      ( ~ memberP(app(sK3,sK5),X0)
      | memberP(sK5,X0)
      | memberP(sK2,X0)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f629,f149]) ).

fof(f149,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f129]) ).

fof(f629,plain,
    ! [X0] :
      ( ~ memberP(app(sK3,sK5),X0)
      | memberP(sK5,X0)
      | memberP(sK2,X0)
      | ~ ssList(sK2)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f178,f358]) ).

fof(f358,plain,
    app(sK3,sK5) = app(sK5,sK2),
    inference(subsumption_resolution,[],[f341,f153]) ).

fof(f341,plain,
    ( app(sK3,sK5) = app(sK5,sK2)
    | ~ ssList(sK5) ),
    inference(superposition,[],[f245,f156]) ).

fof(f245,plain,
    ! [X0] :
      ( app(sK5,app(sK6,X0)) = app(sK3,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f244,f153]) ).

fof(f244,plain,
    ! [X0] :
      ( app(sK5,app(sK6,X0)) = app(sK3,X0)
      | ~ ssList(X0)
      | ~ ssList(sK5) ),
    inference(subsumption_resolution,[],[f216,f154]) ).

fof(f216,plain,
    ! [X0] :
      ( app(sK5,app(sK6,X0)) = app(sK3,X0)
      | ~ ssList(X0)
      | ~ ssList(sK6)
      | ~ ssList(sK5) ),
    inference(superposition,[],[f167,f155]) ).

fof(f155,plain,
    sK3 = app(sK5,sK6),
    inference(cnf_transformation,[],[f129]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( app(app(X0,X1),X2) = app(X0,app(X1,X2))
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | memberP(X1,X0)
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f211,plain,
    ( ~ memberP(sK2,sK4)
    | spl13_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl13_2
  <=> memberP(sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f689,plain,
    ( spl13_1
    | ~ spl13_2 ),
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f688,plain,
    ( $false
    | spl13_1
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f687,f210]) ).

fof(f210,plain,
    ( memberP(sK2,sK4)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f687,plain,
    ( ~ memberP(sK2,sK4)
    | spl13_1 ),
    inference(subsumption_resolution,[],[f686,f157]) ).

fof(f686,plain,
    ( ~ ssItem(sK4)
    | ~ memberP(sK2,sK4)
    | spl13_1 ),
    inference(resolution,[],[f685,f207]) ).

fof(f207,plain,
    ( ~ memberP(sK3,sK4)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f685,plain,
    ! [X0] :
      ( memberP(sK3,X0)
      | ~ ssItem(X0)
      | ~ memberP(sK2,X0) ),
    inference(subsumption_resolution,[],[f684,f255]) ).

fof(f255,plain,
    ! [X0] :
      ( memberP(sK3,X0)
      | ~ memberP(sK5,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f254,f153]) ).

fof(f254,plain,
    ! [X0] :
      ( memberP(sK3,X0)
      | ~ memberP(sK5,X0)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f224,f154]) ).

fof(f224,plain,
    ! [X0] :
      ( memberP(sK3,X0)
      | ~ memberP(sK5,X0)
      | ~ ssList(sK6)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f179,f155]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ memberP(sK2,X0)
      | ~ ssItem(X0)
      | memberP(sK3,X0)
      | memberP(sK5,X0) ),
    inference(subsumption_resolution,[],[f683,f150]) ).

fof(f683,plain,
    ! [X0] :
      ( ~ memberP(sK2,X0)
      | ~ ssItem(X0)
      | memberP(sK3,X0)
      | memberP(sK5,X0)
      | ~ ssList(sK3) ),
    inference(subsumption_resolution,[],[f682,f153]) ).

fof(f682,plain,
    ! [X0] :
      ( ~ memberP(sK2,X0)
      | ~ ssItem(X0)
      | memberP(sK3,X0)
      | memberP(sK5,X0)
      | ~ ssList(sK5)
      | ~ ssList(sK3) ),
    inference(duplicate_literal_removal,[],[f679]) ).

fof(f679,plain,
    ! [X0] :
      ( ~ memberP(sK2,X0)
      | ~ ssItem(X0)
      | memberP(sK3,X0)
      | memberP(sK5,X0)
      | ~ ssList(sK5)
      | ~ ssList(sK3)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f653,f178]) ).

fof(f653,plain,
    ! [X0] :
      ( memberP(app(sK3,sK5),X0)
      | ~ memberP(sK2,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f652,f153]) ).

fof(f652,plain,
    ! [X0] :
      ( memberP(app(sK3,sK5),X0)
      | ~ memberP(sK2,X0)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f631,f149]) ).

fof(f631,plain,
    ! [X0] :
      ( memberP(app(sK3,sK5),X0)
      | ~ memberP(sK2,X0)
      | ~ ssList(sK2)
      | ~ ssList(sK5)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f180,f358]) ).

fof(f213,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f195,f209,f205]) ).

fof(f195,plain,
    ( memberP(sK2,sK4)
    | memberP(sK3,sK4) ),
    inference(definition_unfolding,[],[f158,f152,f151]) ).

fof(f151,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f129]) ).

fof(f152,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f129]) ).

fof(f158,plain,
    ( memberP(sK0,sK4)
    | memberP(sK1,sK4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f212,plain,
    ( ~ spl13_1
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f194,f209,f205]) ).

fof(f194,plain,
    ( ~ memberP(sK2,sK4)
    | ~ memberP(sK3,sK4) ),
    inference(definition_unfolding,[],[f159,f152,f151]) ).

fof(f159,plain,
    ( ~ memberP(sK0,sK4)
    | ~ memberP(sK1,sK4) ),
    inference(cnf_transformation,[],[f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC378+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % 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
% 0.12/0.31  % Computer : n011.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Sun May 19 03:05:53 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32  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/benchmark/theBenchmark.p
% 0.54/0.76  % (15850)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 theBenchmark for (2995ds/34Mi)
% 0.54/0.76  % (15852)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.76  % (15851)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 theBenchmark for (2995ds/51Mi)
% 0.54/0.76  % (15853)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.76  % (15854)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 theBenchmark for (2995ds/34Mi)
% 0.54/0.76  % (15855)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.76  % (15856)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 theBenchmark for (2995ds/83Mi)
% 0.54/0.76  % (15857)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.59/0.76  % (15857)Refutation not found, incomplete strategy% (15857)------------------------------
% 0.59/0.76  % (15857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (15857)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (15857)Memory used [KB]: 1142
% 0.59/0.76  % (15857)Time elapsed: 0.004 s
% 0.59/0.76  % (15857)Instructions burned: 5 (million)
% 0.59/0.76  % (15857)------------------------------
% 0.59/0.76  % (15857)------------------------------
% 0.59/0.77  % (15860)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 theBenchmark for (2995ds/55Mi)
% 0.59/0.77  % (15854)Refutation not found, incomplete strategy% (15854)------------------------------
% 0.59/0.77  % (15854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (15854)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (15854)Memory used [KB]: 1510
% 0.59/0.77  % (15854)Time elapsed: 0.012 s
% 0.59/0.77  % (15854)Instructions burned: 20 (million)
% 0.59/0.77  % (15854)------------------------------
% 0.59/0.77  % (15854)------------------------------
% 0.59/0.77  % (15855)First to succeed.
% 0.59/0.77  % (15855)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15809"
% 0.59/0.77  % (15861)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 theBenchmark for (2995ds/50Mi)
% 0.59/0.78  % (15855)Refutation found. Thanks to Tanya!
% 0.59/0.78  % SZS status Theorem for theBenchmark
% 0.59/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.78  % (15855)------------------------------
% 0.59/0.78  % (15855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (15855)Termination reason: Refutation
% 0.59/0.78  
% 0.59/0.78  % (15855)Memory used [KB]: 1310
% 0.59/0.78  % (15855)Time elapsed: 0.016 s
% 0.59/0.78  % (15855)Instructions burned: 24 (million)
% 0.59/0.78  % (15809)Success in time 0.449 s
% 0.59/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------