TSTP Solution File: SWC309+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC309+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 Aug 31 18:40:20 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  11 unt;   0 def)
%            Number of atoms       :  383 ( 167 equ)
%            Maximal formula atoms :   34 (   6 avg)
%            Number of connectives :  508 ( 184   ~; 165   |; 132   &)
%                                         (   4 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  152 ( 102   !;  50   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f269,plain,
    $false,
    inference(avatar_sat_refutation,[],[f196,f256,f268]) ).

fof(f268,plain,
    ( ~ spl8_2
    | ~ spl8_3 ),
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | ~ spl8_2
    | ~ spl8_3 ),
    inference(subsumption_resolution,[],[f266,f193]) ).

fof(f193,plain,
    ( ssList(nil)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f192,plain,
    ( spl8_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f266,plain,
    ( ~ ssList(nil)
    | ~ spl8_3 ),
    inference(resolution,[],[f258,f184]) ).

fof(f184,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f258,plain,
    ( neq(nil,nil)
    | ~ spl8_3 ),
    inference(backward_demodulation,[],[f174,f199]) ).

fof(f199,plain,
    ( nil = sK3
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f198,plain,
    ( spl8_3
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

fof(f174,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f151,f150]) ).

fof(f150,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ssList(sK0)
    & neq(sK1,nil)
    & sK1 = sK3
    & ssList(sK3)
    & ! [X4] :
        ( ~ ssItem(X4)
        | ! [X5] :
            ( app(cons(X4,nil),X5) != sK1
            | app(X5,cons(X4,nil)) != sK0
            | ~ ssList(X5) ) )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( app(cons(X6,nil),X7) != sK3
            | ~ ssList(X7)
            | app(X7,cons(X6,nil)) = sK2 ) )
    & sK2 = sK0
    & ssList(sK2)
    & ssList(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f122,f126,f125,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( neq(X1,nil)
                    & X1 = X3
                    & ssList(X3)
                    & ! [X4] :
                        ( ~ ssItem(X4)
                        | ! [X5] :
                            ( app(cons(X4,nil),X5) != X1
                            | app(X5,cons(X4,nil)) != X0
                            | ~ ssList(X5) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X6] :
                        ( ~ ssItem(X6)
                        | ! [X7] :
                            ( app(cons(X6,nil),X7) != X3
                            | ~ ssList(X7)
                            | app(X7,cons(X6,nil)) = X2 ) )
                    & X0 = X2 )
                & ssList(X2) )
            & ssList(X1) ) )
   => ( ssList(sK0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ssList(X3)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( app(cons(X4,nil),X5) != X1
                          | app(X5,cons(X4,nil)) != sK0
                          | ~ ssList(X5) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X3
                          | ~ ssList(X7)
                          | app(X7,cons(X6,nil)) = X2 ) )
                  & sK0 = X2 )
              & ssList(X2) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( neq(X1,nil)
                & X1 = X3
                & ssList(X3)
                & ! [X4] :
                    ( ~ ssItem(X4)
                    | ! [X5] :
                        ( app(cons(X4,nil),X5) != X1
                        | app(X5,cons(X4,nil)) != sK0
                        | ~ ssList(X5) ) )
                & ( nil != X3
                  | nil = X2 )
                & ! [X6] :
                    ( ~ ssItem(X6)
                    | ! [X7] :
                        ( app(cons(X6,nil),X7) != X3
                        | ~ ssList(X7)
                        | app(X7,cons(X6,nil)) = X2 ) )
                & sK0 = X2 )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( neq(sK1,nil)
              & sK1 = X3
              & ssList(X3)
              & ! [X4] :
                  ( ~ ssItem(X4)
                  | ! [X5] :
                      ( app(cons(X4,nil),X5) != sK1
                      | app(X5,cons(X4,nil)) != sK0
                      | ~ ssList(X5) ) )
              & ( nil != X3
                | nil = X2 )
              & ! [X6] :
                  ( ~ ssItem(X6)
                  | ! [X7] :
                      ( app(cons(X6,nil),X7) != X3
                      | ~ ssList(X7)
                      | app(X7,cons(X6,nil)) = X2 ) )
              & sK0 = X2 )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( neq(sK1,nil)
            & sK1 = X3
            & ssList(X3)
            & ! [X4] :
                ( ~ ssItem(X4)
                | ! [X5] :
                    ( app(cons(X4,nil),X5) != sK1
                    | app(X5,cons(X4,nil)) != sK0
                    | ~ ssList(X5) ) )
            & ( nil != X3
              | nil = X2 )
            & ! [X6] :
                ( ~ ssItem(X6)
                | ! [X7] :
                    ( app(cons(X6,nil),X7) != X3
                    | ~ ssList(X7)
                    | app(X7,cons(X6,nil)) = X2 ) )
            & sK0 = X2 )
        & ssList(X2) )
   => ( ? [X3] :
          ( neq(sK1,nil)
          & sK1 = X3
          & ssList(X3)
          & ! [X4] :
              ( ~ ssItem(X4)
              | ! [X5] :
                  ( app(cons(X4,nil),X5) != sK1
                  | app(X5,cons(X4,nil)) != sK0
                  | ~ ssList(X5) ) )
          & ( nil != X3
            | nil = sK2 )
          & ! [X6] :
              ( ~ ssItem(X6)
              | ! [X7] :
                  ( app(cons(X6,nil),X7) != X3
                  | ~ ssList(X7)
                  | app(X7,cons(X6,nil)) = sK2 ) )
          & sK2 = sK0 )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X3] :
        ( neq(sK1,nil)
        & sK1 = X3
        & ssList(X3)
        & ! [X4] :
            ( ~ ssItem(X4)
            | ! [X5] :
                ( app(cons(X4,nil),X5) != sK1
                | app(X5,cons(X4,nil)) != sK0
                | ~ ssList(X5) ) )
        & ( nil != X3
          | nil = sK2 )
        & ! [X6] :
            ( ~ ssItem(X6)
            | ! [X7] :
                ( app(cons(X6,nil),X7) != X3
                | ~ ssList(X7)
                | app(X7,cons(X6,nil)) = sK2 ) )
        & sK2 = sK0 )
   => ( neq(sK1,nil)
      & sK1 = sK3
      & ssList(sK3)
      & ! [X4] :
          ( ~ ssItem(X4)
          | ! [X5] :
              ( app(cons(X4,nil),X5) != sK1
              | app(X5,cons(X4,nil)) != sK0
              | ~ ssList(X5) ) )
      & ( nil != sK3
        | nil = sK2 )
      & ! [X6] :
          ( ~ ssItem(X6)
          | ! [X7] :
              ( app(cons(X6,nil),X7) != sK3
              | ~ ssList(X7)
              | app(X7,cons(X6,nil)) = sK2 ) )
      & sK2 = sK0 ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ssList(X3)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( app(cons(X4,nil),X5) != X1
                          | app(X5,cons(X4,nil)) != X0
                          | ~ ssList(X5) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X3
                          | ~ ssList(X7)
                          | app(X7,cons(X6,nil)) = X2 ) )
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( neq(X1,nil)
                  & X1 = X3
                  & ssList(X3)
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X1
                          | app(X7,cons(X6,nil)) != X0
                          | ~ ssList(X7) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( app(cons(X4,nil),X5) != X3
                          | ~ ssList(X5)
                          | app(X5,cons(X4,nil)) = X2 ) )
                  & X0 = X2 )
              & ssList(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( app(cons(X6,nil),X7) != X1
                          | app(X7,cons(X6,nil)) != X0
                          | ~ ssList(X7) ) )
                  & X1 = X3
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( app(cons(X4,nil),X5) != X3
                          | ~ ssList(X5)
                          | app(X5,cons(X4,nil)) = X2 ) )
                  & X0 = X2
                  & ( nil != X3
                    | nil = X2 )
                  & neq(X1,nil)
                  & 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)
                   => ( ? [X6] :
                          ( ? [X7] :
                              ( ssList(X7)
                              & app(cons(X6,nil),X7) = X1
                              & app(X7,cons(X6,nil)) = X0 )
                          & ssItem(X6) )
                      | X1 != X3
                      | ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( app(cons(X4,nil),X5) = X3
                              & ssList(X5)
                              & app(X5,cons(X4,nil)) != X2 ) )
                      | X0 != X2
                      | ( nil != X2
                        & nil = X3 )
                      | ~ neq(X1,nil) ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X0 != X2
                    | X1 != X3
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(cons(X6,nil),X7) = X3
                            & ssList(X7)
                            & app(X7,cons(X6,nil)) != X2 ) )
                    | ~ neq(X1,nil)
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( app(X5,cons(X4,nil)) = X0
                            & ssList(X5)
                            & app(cons(X4,nil),X5) = X1 ) )
                    | ( nil != X2
                      & nil = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f151,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f127]) ).

fof(f256,plain,
    spl8_3,
    inference(avatar_split_clause,[],[f255,f198]) ).

fof(f255,plain,
    nil = sK3,
    inference(subsumption_resolution,[],[f251,f149]) ).

fof(f149,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f127]) ).

fof(f251,plain,
    ( ~ ssList(sK3)
    | nil = sK3 ),
    inference(equality_resolution,[],[f250]) ).

fof(f250,plain,
    ! [X0] :
      ( sK3 != X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f249,f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ssItem(sK7(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( nil = X0
      | ( ssList(sK6(X0))
        & ssItem(sK7(X0))
        & cons(sK7(X0),sK6(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f105,f134,f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
     => ( ssList(sK6(X0))
        & ? [X2] :
            ( ssItem(X2)
            & cons(X2,sK6(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ! [X0] :
      ( ? [X2] :
          ( ssItem(X2)
          & cons(X2,sK6(X0)) = X0 )
     => ( ssItem(sK7(X0))
        & cons(sK7(X0),sK6(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssItem(X2)
                & cons(X2,X1) = X0 ) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f249,plain,
    ! [X0] :
      ( ~ ssItem(sK7(X0))
      | ~ ssList(X0)
      | nil = X0
      | sK3 != X0 ),
    inference(subsumption_resolution,[],[f248,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ssList(sK6(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f248,plain,
    ! [X0] :
      ( sK3 != X0
      | ~ ssList(sK6(X0))
      | ~ ssList(X0)
      | nil = X0
      | ~ ssItem(sK7(X0)) ),
    inference(superposition,[],[f247,f165]) ).

fof(f165,plain,
    ! [X0] :
      ( cons(sK7(X0),sK6(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sK3
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,X1) != sK3
      | ~ ssList(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f206,f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f206,plain,
    ! [X6,X7] :
      ( app(cons(X6,nil),X7) != sK3
      | ~ ssItem(X6)
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f177,f175]) ).

fof(f175,plain,
    ! [X4,X5] :
      ( app(cons(X4,nil),X5) != sK3
      | app(X5,cons(X4,nil)) != sK0
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(definition_unfolding,[],[f148,f150]) ).

fof(f148,plain,
    ! [X4,X5] :
      ( ~ ssItem(X4)
      | app(cons(X4,nil),X5) != sK1
      | app(X5,cons(X4,nil)) != sK0
      | ~ ssList(X5) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f177,plain,
    ! [X6,X7] :
      ( app(cons(X6,nil),X7) != sK3
      | app(X7,cons(X6,nil)) = sK0
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f146,f145]) ).

fof(f145,plain,
    sK2 = sK0,
    inference(cnf_transformation,[],[f127]) ).

fof(f146,plain,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | app(cons(X6,nil),X7) != sK3
      | ~ ssList(X7)
      | app(X7,cons(X6,nil)) = sK2 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f196,plain,
    spl8_2,
    inference(avatar_split_clause,[],[f158,f192]) ).

fof(f158,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC309+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:47:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (16296)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53  % (16273)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (16281)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (16281)Instruction limit reached!
% 0.20/0.54  % (16281)------------------------------
% 0.20/0.54  % (16281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (16281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (16281)Termination reason: Unknown
% 0.20/0.54  % (16281)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (16281)Memory used [KB]: 1535
% 0.20/0.54  % (16281)Time elapsed: 0.003 s
% 0.20/0.54  % (16281)Instructions burned: 3 (million)
% 0.20/0.54  % (16281)------------------------------
% 0.20/0.54  % (16281)------------------------------
% 0.20/0.54  % (16290)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54  % (16296)Instruction limit reached!
% 0.20/0.54  % (16296)------------------------------
% 0.20/0.54  % (16296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (16296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (16296)Termination reason: Unknown
% 0.20/0.54  % (16296)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (16296)Memory used [KB]: 6396
% 0.20/0.54  % (16296)Time elapsed: 0.132 s
% 0.20/0.54  % (16296)Instructions burned: 24 (million)
% 0.20/0.54  % (16296)------------------------------
% 0.20/0.54  % (16296)------------------------------
% 0.20/0.54  % (16275)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (16273)First to succeed.
% 0.20/0.55  % (16284)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (16289)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.55  % (16274)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56  % (16273)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (16273)------------------------------
% 0.20/0.56  % (16273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (16273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (16273)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (16273)Memory used [KB]: 6140
% 0.20/0.56  % (16273)Time elapsed: 0.121 s
% 0.20/0.56  % (16273)Instructions burned: 7 (million)
% 0.20/0.56  % (16273)------------------------------
% 0.20/0.56  % (16273)------------------------------
% 0.20/0.56  % (16266)Success in time 0.197 s
%------------------------------------------------------------------------------