TSTP Solution File: SWC106+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC106+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 : n025.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 04:36:15 EDT 2024

% Result   : Theorem 0.51s 0.73s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   90 (   8 unt;   0 def)
%            Number of atoms       :  393 (  83 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  448 ( 145   ~; 138   |; 127   &)
%                                         (  11 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  149 ( 102   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f491,plain,
    $false,
    inference(avatar_sat_refutation,[],[f229,f231,f265,f281,f292,f394,f429,f490]) ).

fof(f490,plain,
    ( spl12_4
    | spl12_6 ),
    inference(avatar_contradiction_clause,[],[f489]) ).

fof(f489,plain,
    ( $false
    | spl12_4
    | spl12_6 ),
    inference(subsumption_resolution,[],[f488,f165]) ).

fof(f165,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ( ( ~ neq(sK6,nil)
        & neq(sK4,nil) )
      | sP0(sK3,sK4,sK6,sK5) )
    & sK3 = sK5
    & sK4 = sK6
    & ssList(sK6)
    & ssList(sK5)
    & ssList(sK4)
    & ssList(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f131,f140,f139,f138,f137]) ).

fof(f137,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | sP0(X0,X1,X3,X2) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | sP0(sK3,X1,X3,X2) )
                  & sK3 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | sP0(sK3,X1,X3,X2) )
                & sK3 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK4,nil) )
                | sP0(sK3,sK4,X3,X2) )
              & sK3 = X2
              & sK4 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK4,nil) )
              | sP0(sK3,sK4,X3,X2) )
            & sK3 = X2
            & sK4 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK4,nil) )
            | sP0(sK3,sK4,X3,sK5) )
          & sK3 = sK5
          & sK4 = X3
          & ssList(X3) )
      & ssList(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK4,nil) )
          | sP0(sK3,sK4,X3,sK5) )
        & sK3 = sK5
        & sK4 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK6,nil)
          & neq(sK4,nil) )
        | sP0(sK3,sK4,sK6,sK5) )
      & sK3 = sK5
      & sK4 = sK6
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | sP0(X0,X1,X3,X2) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(definition_folding,[],[f99,f130]) ).

fof(f130,plain,
    ! [X0,X1,X3,X2] :
      ( ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = X3
                & cons(X4,nil) = X2
                & ssList(X5) )
            & ssItem(X4) )
        & neq(X1,nil) )
      | ~ sP0(X0,X1,X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ( ~ rearsegP(X1,X0)
                        | ~ neq(X0,nil) )
                      & ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X3
                              & cons(X4,nil) = X2
                              & ssList(X5) )
                          & ssItem(X4) )
                      & neq(X1,nil) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ( ~ rearsegP(X1,X0)
                        | ~ neq(X0,nil) )
                      & ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X3
                              & cons(X4,nil) = X2
                              & ssList(X5) )
                          & ssItem(X4) )
                      & neq(X1,nil) ) )
                  & 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)
                          | ~ neq(X1,nil) )
                        & ( ( rearsegP(X1,X0)
                            & neq(X0,nil) )
                          | ! [X4] :
                              ( ssItem(X4)
                             => ! [X5] :
                                  ( ssList(X5)
                                 => ( app(X5,cons(X4,nil)) != X3
                                    | cons(X4,nil) != X2 ) ) )
                          | ~ 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) )
                      & ( ( rearsegP(X1,X0)
                          & neq(X0,nil) )
                        | ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ( app(X5,cons(X4,nil)) != X3
                                  | cons(X4,nil) != X2 ) ) )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f488,plain,
    ( ~ ssList(sK5)
    | spl12_4
    | spl12_6 ),
    inference(subsumption_resolution,[],[f487,f197]) ).

fof(f197,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f487,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK5)
    | spl12_4
    | spl12_6 ),
    inference(subsumption_resolution,[],[f476,f278]) ).

fof(f278,plain,
    ( nil != sK5
    | spl12_6 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl12_6
  <=> nil = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).

fof(f476,plain,
    ( nil = sK5
    | ~ ssList(nil)
    | ~ ssList(sK5)
    | spl12_4 ),
    inference(resolution,[],[f264,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,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/benchmark/theBenchmark.p',ax15) ).

fof(f264,plain,
    ( ~ neq(sK5,nil)
    | spl12_4 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl12_4
  <=> neq(sK5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f429,plain,
    ( ~ spl12_1
    | spl12_7 ),
    inference(avatar_contradiction_clause,[],[f428]) ).

fof(f428,plain,
    ( $false
    | ~ spl12_1
    | spl12_7 ),
    inference(resolution,[],[f411,f224]) ).

fof(f224,plain,
    ( sP0(sK5,sK6,sK6,sK5)
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl12_1
  <=> sP0(sK5,sK6,sK6,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f411,plain,
    ( ! [X0,X1] : ~ sP0(X0,X1,sK6,sK5)
    | spl12_7 ),
    inference(resolution,[],[f374,f159]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1] :
      ( ssList(sK2(X2,X3))
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & app(sK2(X2,X3),cons(sK1(X2,X3),nil)) = X2
        & cons(sK1(X2,X3),nil) = X3
        & ssList(sK2(X2,X3))
        & ssItem(sK1(X2,X3))
        & neq(X1,nil) )
      | ~ sP0(X0,X1,X2,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f133,f135,f134]) ).

fof(f134,plain,
    ! [X2,X3] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X5,cons(X4,nil)) = X2
              & cons(X4,nil) = X3
              & ssList(X5) )
          & ssItem(X4) )
     => ( ? [X5] :
            ( app(X5,cons(sK1(X2,X3),nil)) = X2
            & cons(sK1(X2,X3),nil) = X3
            & ssList(X5) )
        & ssItem(sK1(X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X2,X3] :
      ( ? [X5] :
          ( app(X5,cons(sK1(X2,X3),nil)) = X2
          & cons(sK1(X2,X3),nil) = X3
          & ssList(X5) )
     => ( app(sK2(X2,X3),cons(sK1(X2,X3),nil)) = X2
        & cons(sK1(X2,X3),nil) = X3
        & ssList(sK2(X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = X2
                & cons(X4,nil) = X3
                & ssList(X5) )
            & ssItem(X4) )
        & neq(X1,nil) )
      | ~ sP0(X0,X1,X2,X3) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1,X3,X2] :
      ( ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = X3
                & cons(X4,nil) = X2
                & ssList(X5) )
            & ssItem(X4) )
        & neq(X1,nil) )
      | ~ sP0(X0,X1,X3,X2) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f374,plain,
    ( ~ ssList(sK2(sK6,sK5))
    | spl12_7 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f372,plain,
    ( spl12_7
  <=> ssList(sK2(sK6,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).

fof(f394,plain,
    ( ~ spl12_7
    | ~ spl12_1
    | spl12_3 ),
    inference(avatar_split_clause,[],[f393,f258,f222,f372]) ).

fof(f258,plain,
    ( spl12_3
  <=> rearsegP(sK6,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f393,plain,
    ( ~ ssList(sK2(sK6,sK5))
    | ~ spl12_1
    | spl12_3 ),
    inference(subsumption_resolution,[],[f392,f165]) ).

fof(f392,plain,
    ( ~ ssList(sK2(sK6,sK5))
    | ~ ssList(sK5)
    | ~ spl12_1
    | spl12_3 ),
    inference(subsumption_resolution,[],[f368,f260]) ).

fof(f260,plain,
    ( ~ rearsegP(sK6,sK5)
    | spl12_3 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f368,plain,
    ( rearsegP(sK6,sK5)
    | ~ ssList(sK2(sK6,sK5))
    | ~ ssList(sK5)
    | ~ spl12_1 ),
    inference(superposition,[],[f233,f364]) ).

fof(f364,plain,
    ( sK6 = app(sK2(sK6,sK5),sK5)
    | ~ spl12_1 ),
    inference(forward_demodulation,[],[f363,f266]) ).

fof(f266,plain,
    ( sK5 = cons(sK1(sK6,sK5),nil)
    | ~ spl12_1 ),
    inference(resolution,[],[f160,f224]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | cons(sK1(X2,X3),nil) = X3 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f363,plain,
    ( sK6 = app(sK2(sK6,sK5),cons(sK1(sK6,sK5),nil))
    | ~ spl12_1 ),
    inference(resolution,[],[f161,f224]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | app(sK2(X2,X3),cons(sK1(X2,X3),nil)) = X2 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f233,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f217,f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,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/benchmark/theBenchmark.p',ax26) ).

fof(f217,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK11(X0,X1),X1) = X0
                & ssList(sK11(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f154,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK11(X0,X1),X1) = X0
        & ssList(sK11(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f292,plain,
    ( ~ spl12_1
    | spl12_5 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl12_1
    | spl12_5 ),
    inference(resolution,[],[f287,f224]) ).

fof(f287,plain,
    ( ! [X0,X1] : ~ sP0(X0,X1,sK6,sK5)
    | spl12_5 ),
    inference(resolution,[],[f274,f158]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sK1(X2,X3))
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f274,plain,
    ( ~ ssItem(sK1(sK6,sK5))
    | spl12_5 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl12_5
  <=> ssItem(sK1(sK6,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f281,plain,
    ( ~ spl12_5
    | ~ spl12_6
    | ~ spl12_1 ),
    inference(avatar_split_clause,[],[f280,f222,f276,f272]) ).

fof(f280,plain,
    ( nil != sK5
    | ~ ssItem(sK1(sK6,sK5))
    | ~ spl12_1 ),
    inference(subsumption_resolution,[],[f268,f197]) ).

fof(f268,plain,
    ( nil != sK5
    | ~ ssItem(sK1(sK6,sK5))
    | ~ ssList(nil)
    | ~ spl12_1 ),
    inference(superposition,[],[f174,f266]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f265,plain,
    ( ~ spl12_3
    | ~ spl12_4
    | ~ spl12_1 ),
    inference(avatar_split_clause,[],[f256,f222,f262,f258]) ).

fof(f256,plain,
    ( ~ neq(sK5,nil)
    | ~ rearsegP(sK6,sK5)
    | ~ spl12_1 ),
    inference(resolution,[],[f162,f224]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | ~ neq(X0,nil)
      | ~ rearsegP(X1,X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f231,plain,
    spl12_2,
    inference(avatar_split_clause,[],[f230,f226]) ).

fof(f226,plain,
    ( spl12_2
  <=> neq(sK6,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f230,plain,
    neq(sK6,nil),
    inference(subsumption_resolution,[],[f209,f157]) ).

fof(f157,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | neq(X1,nil) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f209,plain,
    ( neq(sK6,nil)
    | sP0(sK5,sK6,sK6,sK5) ),
    inference(definition_unfolding,[],[f169,f167,f168,f167]) ).

fof(f168,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f141]) ).

fof(f167,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f141]) ).

fof(f169,plain,
    ( neq(sK4,nil)
    | sP0(sK3,sK4,sK6,sK5) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f229,plain,
    ( spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f208,f226,f222]) ).

fof(f208,plain,
    ( ~ neq(sK6,nil)
    | sP0(sK5,sK6,sK6,sK5) ),
    inference(definition_unfolding,[],[f170,f168,f167]) ).

fof(f170,plain,
    ( ~ neq(sK6,nil)
    | sP0(sK3,sK4,sK6,sK5) ),
    inference(cnf_transformation,[],[f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWC106+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13  % 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
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 02:50:53 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.72  % (9545)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 (2996ds/56Mi)
% 0.51/0.72  % (9538)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 (2996ds/34Mi)
% 0.51/0.72  % (9540)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.72  % (9539)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 (2996ds/51Mi)
% 0.51/0.72  % (9542)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 (2996ds/34Mi)
% 0.51/0.72  % (9541)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.72  % (9543)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.51/0.72  % (9544)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 (2996ds/83Mi)
% 0.51/0.73  % (9540)First to succeed.
% 0.51/0.73  % (9540)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9537"
% 0.51/0.73  % (9540)Refutation found. Thanks to Tanya!
% 0.51/0.73  % SZS status Theorem for theBenchmark
% 0.51/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.73  % (9540)------------------------------
% 0.51/0.73  % (9540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (9540)Termination reason: Refutation
% 0.51/0.73  
% 0.51/0.73  % (9540)Memory used [KB]: 1290
% 0.51/0.73  % (9540)Time elapsed: 0.013 s
% 0.51/0.73  % (9540)Instructions burned: 18 (million)
% 0.51/0.73  % (9537)Success in time 0.374 s
% 0.51/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------