TSTP Solution File: SWC016+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC016+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 : n006.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 04:35:35 EDT 2024

% Result   : Theorem 0.77s 0.93s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :  731 (  97 equ)
%            Maximal formula atoms :   40 (  12 avg)
%            Number of connectives :  535 ( 184   ~; 167   |; 155   &)
%                                         (   9 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  320 ( 320 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   76 (  37   !;  38   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ10_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f319,plain,
    $false,
    inference(avatar_sat_refutation,[],[f266,f271,f276,f277,f282,f287,f292,f297,f298,f318]) ).

tff(f318,plain,
    ( ~ spl11_2
    | ~ spl11_5
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

tff(f317,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_5
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f316,f281]) ).

tff(f281,plain,
    ( frontsegP(sK2,sK4)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f279]) ).

tff(f279,plain,
    ( spl11_5
  <=> frontsegP(sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

tff(f316,plain,
    ( ~ frontsegP(sK2,sK4)
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f315,f291]) ).

tff(f291,plain,
    ( neq(sK4,nil)
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f289]) ).

tff(f289,plain,
    ( spl11_7
  <=> neq(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

tff(f315,plain,
    ( ~ neq(sK4,nil)
    | ~ frontsegP(sK2,sK4)
    | ~ spl11_2
    | ~ spl11_6
    | ~ spl11_8 ),
    inference(subsumption_resolution,[],[f314,f296]) ).

tff(f296,plain,
    ( ssList(sK4)
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f294]) ).

tff(f294,plain,
    ( spl11_8
  <=> ssList(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

tff(f314,plain,
    ( ~ ssList(sK4)
    | ~ neq(sK4,nil)
    | ~ frontsegP(sK2,sK4)
    | ~ spl11_2
    | ~ spl11_6 ),
    inference(resolution,[],[f265,f286]) ).

tff(f286,plain,
    ( frontsegP(sK3,sK4)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f284]) ).

tff(f284,plain,
    ( spl11_6
  <=> frontsegP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

tff(f265,plain,
    ( ! [X4: $i] :
        ( ~ frontsegP(sK3,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ frontsegP(sK2,X4) )
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f264]) ).

tff(f264,plain,
    ( spl11_2
  <=> ! [X4] :
        ( ~ frontsegP(sK2,X4)
        | ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ frontsegP(sK3,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

tff(f298,plain,
    ( spl11_1
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f228,f268,f260]) ).

tff(f260,plain,
    ( spl11_1
  <=> sQ10_eqProxy($i,nil,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

tff(f268,plain,
    ( spl11_3
  <=> sQ10_eqProxy($i,nil,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

tff(f228,plain,
    ( ~ sQ10_eqProxy($i,nil,sK3)
    | sQ10_eqProxy($i,nil,sK2) ),
    inference(equality_proxy_replacement,[],[f161,f223]) ).

tff(f223,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ10_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).

tff(f161,plain,
    ( ( nil != sK3 )
    | ( nil = sK2 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f137,plain,
    ( ( ( ! [X4] :
            ( ~ frontsegP(sK0,X4)
            | ~ frontsegP(sK1,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & neq(sK1,nil) )
      | ( ( nil != sK0 )
        & ( nil = sK1 ) ) )
    & ( ~ neq(sK3,nil)
      | ( frontsegP(sK2,sK4)
        & frontsegP(sK3,sK4)
        & neq(sK4,nil)
        & ssList(sK4) ) )
    & ( ( nil != sK3 )
      | ( nil = sK2 ) )
    & ( sK0 = sK2 )
    & ( sK1 = sK3 )
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f136,f135,f134,f133,f132]) ).

tff(f132,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ! [X4] :
                            ( ~ frontsegP(X0,X4)
                            | ~ frontsegP(X1,X4)
                            | ~ neq(X4,nil)
                            | ~ ssList(X4) )
                        & neq(X1,nil) )
                      | ( ( nil != X0 )
                        & ( nil = X1 ) ) )
                    & ( ~ neq(X3,nil)
                      | ? [X5] :
                          ( frontsegP(X2,X5)
                          & frontsegP(X3,X5)
                          & neq(X5,nil)
                          & ssList(X5) ) )
                    & ( ( nil != X3 )
                      | ( nil = X2 ) )
                    & ( X0 = X2 )
                    & ( X1 = X3 )
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ~ frontsegP(sK0,X4)
                          | ~ frontsegP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( ( nil != sK0 )
                      & ( nil = X1 ) ) )
                  & ( ~ neq(X3,nil)
                    | ? [X5] :
                        ( frontsegP(X2,X5)
                        & frontsegP(X3,X5)
                        & neq(X5,nil)
                        & ssList(X5) ) )
                  & ( ( nil != X3 )
                    | ( nil = X2 ) )
                  & ( sK0 = X2 )
                  & ( X1 = X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f133,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ! [X4] :
                        ( ~ frontsegP(sK0,X4)
                        | ~ frontsegP(X1,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & neq(X1,nil) )
                  | ( ( nil != sK0 )
                    & ( nil = X1 ) ) )
                & ( ~ neq(X3,nil)
                  | ? [X5] :
                      ( frontsegP(X2,X5)
                      & frontsegP(X3,X5)
                      & neq(X5,nil)
                      & ssList(X5) ) )
                & ( ( nil != X3 )
                  | ( nil = X2 ) )
                & ( sK0 = X2 )
                & ( X1 = X3 )
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ! [X4] :
                      ( ~ frontsegP(sK0,X4)
                      | ~ frontsegP(sK1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(sK1,nil) )
                | ( ( nil != sK0 )
                  & ( nil = sK1 ) ) )
              & ( ~ neq(X3,nil)
                | ? [X5] :
                    ( frontsegP(X2,X5)
                    & frontsegP(X3,X5)
                    & neq(X5,nil)
                    & ssList(X5) ) )
              & ( ( nil != X3 )
                | ( nil = X2 ) )
              & ( sK0 = X2 )
              & ( sK1 = X3 )
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f134,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ! [X4] :
                    ( ~ frontsegP(sK0,X4)
                    | ~ frontsegP(sK1,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & neq(sK1,nil) )
              | ( ( nil != sK0 )
                & ( nil = sK1 ) ) )
            & ( ~ neq(X3,nil)
              | ? [X5] :
                  ( frontsegP(X2,X5)
                  & frontsegP(X3,X5)
                  & neq(X5,nil)
                  & ssList(X5) ) )
            & ( ( nil != X3 )
              | ( nil = X2 ) )
            & ( sK0 = X2 )
            & ( sK1 = X3 )
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ! [X4] :
                  ( ~ frontsegP(sK0,X4)
                  | ~ frontsegP(sK1,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & neq(sK1,nil) )
            | ( ( nil != sK0 )
              & ( nil = sK1 ) ) )
          & ( ~ neq(X3,nil)
            | ? [X5] :
                ( frontsegP(sK2,X5)
                & frontsegP(X3,X5)
                & neq(X5,nil)
                & ssList(X5) ) )
          & ( ( nil != X3 )
            | ( nil = sK2 ) )
          & ( sK0 = sK2 )
          & ( sK1 = X3 )
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f135,plain,
    ( ? [X3] :
        ( ( ( ! [X4] :
                ( ~ frontsegP(sK0,X4)
                | ~ frontsegP(sK1,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & neq(sK1,nil) )
          | ( ( nil != sK0 )
            & ( nil = sK1 ) ) )
        & ( ~ neq(X3,nil)
          | ? [X5] :
              ( frontsegP(sK2,X5)
              & frontsegP(X3,X5)
              & neq(X5,nil)
              & ssList(X5) ) )
        & ( ( nil != X3 )
          | ( nil = sK2 ) )
        & ( sK0 = sK2 )
        & ( sK1 = X3 )
        & ssList(X3) )
   => ( ( ( ! [X4] :
              ( ~ frontsegP(sK0,X4)
              | ~ frontsegP(sK1,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & neq(sK1,nil) )
        | ( ( nil != sK0 )
          & ( nil = sK1 ) ) )
      & ( ~ neq(sK3,nil)
        | ? [X5] :
            ( frontsegP(sK2,X5)
            & frontsegP(sK3,X5)
            & neq(X5,nil)
            & ssList(X5) ) )
      & ( ( nil != sK3 )
        | ( nil = sK2 ) )
      & ( sK0 = sK2 )
      & ( sK1 = sK3 )
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

tff(f136,plain,
    ( ? [X5] :
        ( frontsegP(sK2,X5)
        & frontsegP(sK3,X5)
        & neq(X5,nil)
        & ssList(X5) )
   => ( frontsegP(sK2,sK4)
      & frontsegP(sK3,sK4)
      & neq(sK4,nil)
      & ssList(sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ~ frontsegP(X0,X4)
                          | ~ frontsegP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( ( nil != X0 )
                      & ( nil = X1 ) ) )
                  & ( ~ neq(X3,nil)
                    | ? [X5] :
                        ( frontsegP(X2,X5)
                        & frontsegP(X3,X5)
                        & neq(X5,nil)
                        & ssList(X5) ) )
                  & ( ( nil != X3 )
                    | ( nil = X2 ) )
                  & ( X0 = X2 )
                  & ( X1 = X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

tff(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ! [X4] :
                          ( ~ frontsegP(X0,X4)
                          | ~ frontsegP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( ( nil != X0 )
                      & ( nil = X1 ) ) )
                  & ( ~ neq(X3,nil)
                    | ? [X5] :
                        ( frontsegP(X2,X5)
                        & frontsegP(X3,X5)
                        & neq(X5,nil)
                        & ssList(X5) ) )
                  & ( ( nil != X3 )
                    | ( nil = X2 ) )
                  & ( X0 = X2 )
                  & ( X1 = X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

tff(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ? [X4] :
                              ( frontsegP(X0,X4)
                              & frontsegP(X1,X4)
                              & neq(X4,nil)
                              & ssList(X4) )
                          | ~ neq(X1,nil) )
                        & ( ( nil = X0 )
                          | ( nil != X1 ) ) )
                      | ( neq(X3,nil)
                        & ! [X5] :
                            ( ssList(X5)
                           => ( ~ frontsegP(X2,X5)
                              | ~ frontsegP(X3,X5)
                              | ~ neq(X5,nil) ) ) )
                      | ( ( nil = X3 )
                        & ( nil != X2 ) )
                      | ( X0 != X2 )
                      | ( X1 != X3 ) ) ) ) ) ),
    inference(rectify,[],[f97]) ).

tff(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ? [X5] :
                              ( frontsegP(X0,X5)
                              & frontsegP(X1,X5)
                              & neq(X5,nil)
                              & ssList(X5) )
                          | ~ neq(X1,nil) )
                        & ( ( nil = X0 )
                          | ( nil != X1 ) ) )
                      | ( neq(X3,nil)
                        & ! [X4] :
                            ( ssList(X4)
                           => ( ~ frontsegP(X2,X4)
                              | ~ frontsegP(X3,X4)
                              | ~ neq(X4,nil) ) ) )
                      | ( ( nil = X3 )
                        & ( nil != X2 ) )
                      | ( X0 != X2 )
                      | ( X1 != X3 ) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

tff(f297,plain,
    ( spl11_8
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f162,f273,f294]) ).

tff(f273,plain,
    ( spl11_4
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

tff(f162,plain,
    ( ~ neq(sK3,nil)
    | ssList(sK4) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f292,plain,
    ( spl11_7
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f163,f273,f289]) ).

tff(f163,plain,
    ( ~ neq(sK3,nil)
    | neq(sK4,nil) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f287,plain,
    ( spl11_6
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f164,f273,f284]) ).

tff(f164,plain,
    ( ~ neq(sK3,nil)
    | frontsegP(sK3,sK4) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f282,plain,
    ( spl11_5
    | ~ spl11_4 ),
    inference(avatar_split_clause,[],[f165,f273,f279]) ).

tff(f165,plain,
    ( ~ neq(sK3,nil)
    | frontsegP(sK2,sK4) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f277,plain,
    ( spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f227,f273,f268]) ).

tff(f227,plain,
    ( neq(sK3,nil)
    | sQ10_eqProxy($i,nil,sK3) ),
    inference(equality_proxy_replacement,[],[f213,f223]) ).

tff(f213,plain,
    ( neq(sK3,nil)
    | ( nil = sK3 ) ),
    inference(definition_unfolding,[],[f166,f159,f159]) ).

tff(f159,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f137]) ).

tff(f166,plain,
    ( neq(sK1,nil)
    | ( nil = sK1 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f276,plain,
    ( ~ spl11_1
    | spl11_4 ),
    inference(avatar_split_clause,[],[f226,f273,f260]) ).

tff(f226,plain,
    ( neq(sK3,nil)
    | ~ sQ10_eqProxy($i,nil,sK2) ),
    inference(equality_proxy_replacement,[],[f212,f223]) ).

tff(f212,plain,
    ( neq(sK3,nil)
    | ( nil != sK2 ) ),
    inference(definition_unfolding,[],[f167,f159,f160]) ).

tff(f160,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f137]) ).

tff(f167,plain,
    ( neq(sK1,nil)
    | ( nil != sK0 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f271,plain,
    ( spl11_3
    | spl11_2 ),
    inference(avatar_split_clause,[],[f225,f264,f268]) ).

tff(f225,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK2,X4)
      | ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | sQ10_eqProxy($i,nil,sK3) ),
    inference(equality_proxy_replacement,[],[f211,f223]) ).

tff(f211,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK2,X4)
      | ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ( nil = sK3 ) ),
    inference(definition_unfolding,[],[f168,f160,f159,f159]) ).

tff(f168,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK0,X4)
      | ~ frontsegP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ( nil = sK1 ) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f266,plain,
    ( ~ spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f224,f264,f260]) ).

tff(f224,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK2,X4)
      | ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ~ sQ10_eqProxy($i,nil,sK2) ),
    inference(equality_proxy_replacement,[],[f210,f223]) ).

tff(f210,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK2,X4)
      | ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ( nil != sK2 ) ),
    inference(definition_unfolding,[],[f169,f160,f159,f160]) ).

tff(f169,plain,
    ! [X4: $i] :
      ( ~ frontsegP(sK0,X4)
      | ~ frontsegP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ( nil != sK0 ) ),
    inference(cnf_transformation,[],[f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC016+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:01:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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
% 0.74/0.93  % (30676)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 (2994ds/34Mi)
% 0.74/0.93  % (30678)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.74/0.93  % (30679)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.93  % (30677)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 (2994ds/51Mi)
% 0.74/0.93  % (30680)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 (2994ds/34Mi)
% 0.74/0.93  % (30681)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.93  % (30682)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 (2994ds/83Mi)
% 0.74/0.93  % (30683)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 (2994ds/56Mi)
% 0.77/0.93  % (30679)Also succeeded, but the first one will report.
% 0.77/0.93  % (30676)First to succeed.
% 0.77/0.93  % (30678)Also succeeded, but the first one will report.
% 0.77/0.93  % (30681)Also succeeded, but the first one will report.
% 0.77/0.93  % (30683)Also succeeded, but the first one will report.
% 0.77/0.93  % (30676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30654"
% 0.77/0.93  % (30676)Refutation found. Thanks to Tanya!
% 0.77/0.93  % SZS status Theorem for theBenchmark
% 0.77/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.93  % (30676)------------------------------
% 0.77/0.93  % (30676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (30676)Termination reason: Refutation
% 0.77/0.93  
% 0.77/0.93  % (30676)Memory used [KB]: 1168
% 0.77/0.93  % (30676)Time elapsed: 0.006 s
% 0.77/0.93  % (30676)Instructions burned: 8 (million)
% 0.77/0.93  % (30654)Success in time 0.565 s
% 0.77/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------