TSTP Solution File: SWC120+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC120+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 : Sun May  5 09:48:44 EDT 2024

% Result   : Theorem 0.65s 0.75s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  154 (  11 unt;   0 def)
%            Number of atoms       :  703 ( 191 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  891 ( 342   ~; 360   |; 141   &)
%                                         (  16 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :  182 ( 132   !;  50   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1186,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f273,f276,f284,f303,f412,f642,f727,f777,f1117,f1144,f1171]) ).

fof(f1171,plain,
    ( spl13_1
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_12 ),
    inference(avatar_contradiction_clause,[],[f1170]) ).

fof(f1170,plain,
    ( $false
    | spl13_1
    | ~ spl13_3
    | ~ spl13_8
    | ~ spl13_12 ),
    inference(subsumption_resolution,[],[f1155,f1146]) ).

fof(f1146,plain,
    ( ~ neq(nil,nil)
    | spl13_1
    | ~ spl13_12 ),
    inference(forward_demodulation,[],[f247,f618]) ).

fof(f618,plain,
    ( nil = sK2
    | ~ spl13_12 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f616,plain,
    ( spl13_12
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).

fof(f247,plain,
    ( ~ neq(sK2,nil)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl13_1
  <=> neq(sK2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f1155,plain,
    ( neq(nil,nil)
    | ~ spl13_3
    | ~ spl13_8 ),
    inference(superposition,[],[f254,f308]) ).

fof(f308,plain,
    ( nil = sK3
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl13_8
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).

fof(f254,plain,
    ( neq(sK3,nil)
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl13_3
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f1144,plain,
    ( spl13_12
    | ~ spl13_9
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1143,f266,f354,f616]) ).

fof(f354,plain,
    ( spl13_9
  <=> nil = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).

fof(f266,plain,
    ( spl13_6
  <=> ssList(sF11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).

fof(f1143,plain,
    ( nil != sF12
    | nil = sK2
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f1142,f165]) ).

fof(f165,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ( ( ~ neq(sK3,nil)
        & neq(sK1,nil) )
      | ( ( ~ segmentP(sK1,sK0)
          | ~ neq(sK0,nil) )
        & ! [X4] :
            ( ! [X5] :
                ( ~ neq(nil,sK3)
                | app(sK2,X5) != X4
                | tl(sK3) != X5
                | ~ ssList(X5) )
            | sK3 = X4
            | ~ ssList(X4) )
        & neq(sK1,nil) ) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f99,f143,f142,f141,f140]) ).

fof(f140,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | ( ( ~ segmentP(X1,X0)
                          | ~ neq(X0,nil) )
                        & ! [X4] :
                            ( ! [X5] :
                                ( ~ neq(nil,X3)
                                | app(X2,X5) != X4
                                | tl(X3) != X5
                                | ~ ssList(X5) )
                            | X3 = X4
                            | ~ ssList(X4) )
                        & neq(X1,nil) ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ( ~ segmentP(X1,sK0)
                        | ~ neq(sK0,nil) )
                      & ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X3)
                              | app(X2,X5) != X4
                              | tl(X3) != X5
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(X4) )
                      & neq(X1,nil) ) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | ( ( ~ segmentP(X1,sK0)
                      | ~ neq(sK0,nil) )
                    & ! [X4] :
                        ( ! [X5] :
                            ( ~ neq(nil,X3)
                            | app(X2,X5) != X4
                            | tl(X3) != X5
                            | ~ ssList(X5) )
                        | X3 = X4
                        | ~ ssList(X4) )
                    & neq(X1,nil) ) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK1,nil) )
                | ( ( ~ segmentP(sK1,sK0)
                    | ~ neq(sK0,nil) )
                  & ! [X4] :
                      ( ! [X5] :
                          ( ~ neq(nil,X3)
                          | app(X2,X5) != X4
                          | tl(X3) != X5
                          | ~ ssList(X5) )
                      | X3 = X4
                      | ~ ssList(X4) )
                  & neq(sK1,nil) ) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK1,nil) )
              | ( ( ~ segmentP(sK1,sK0)
                  | ~ neq(sK0,nil) )
                & ! [X4] :
                    ( ! [X5] :
                        ( ~ neq(nil,X3)
                        | app(X2,X5) != X4
                        | tl(X3) != X5
                        | ~ ssList(X5) )
                    | X3 = X4
                    | ~ ssList(X4) )
                & neq(sK1,nil) ) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK1,nil) )
            | ( ( ~ segmentP(sK1,sK0)
                | ~ neq(sK0,nil) )
              & ! [X4] :
                  ( ! [X5] :
                      ( ~ neq(nil,X3)
                      | app(sK2,X5) != X4
                      | tl(X3) != X5
                      | ~ ssList(X5) )
                  | X3 = X4
                  | ~ ssList(X4) )
              & neq(sK1,nil) ) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK1,nil) )
          | ( ( ~ segmentP(sK1,sK0)
              | ~ neq(sK0,nil) )
            & ! [X4] :
                ( ! [X5] :
                    ( ~ neq(nil,X3)
                    | app(sK2,X5) != X4
                    | tl(X3) != X5
                    | ~ ssList(X5) )
                | X3 = X4
                | ~ ssList(X4) )
            & neq(sK1,nil) ) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK3,nil)
          & neq(sK1,nil) )
        | ( ( ~ segmentP(sK1,sK0)
            | ~ neq(sK0,nil) )
          & ! [X4] :
              ( ! [X5] :
                  ( ~ neq(nil,sK3)
                  | app(sK2,X5) != X4
                  | tl(sK3) != X5
                  | ~ ssList(X5) )
              | sK3 = X4
              | ~ ssList(X4) )
          & neq(sK1,nil) ) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X3)
                              | app(X2,X5) != X4
                              | tl(X3) != X5
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(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) )
                    | ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & ! [X4] :
                          ( ! [X5] :
                              ( ~ neq(nil,X3)
                              | app(X2,X5) != X4
                              | tl(X3) != X5
                              | ~ ssList(X5) )
                          | X3 = X4
                          | ~ ssList(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) )
                        & ( ( segmentP(X1,X0)
                            & neq(X0,nil) )
                          | ? [X4] :
                              ( ? [X5] :
                                  ( neq(nil,X3)
                                  & app(X2,X5) = X4
                                  & tl(X3) = X5
                                  & ssList(X5) )
                              & X3 != X4
                              & ssList(X4) )
                          | ~ neq(X1,nil) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( neq(X3,nil)
                        | ~ neq(X1,nil) )
                      & ( ( segmentP(X1,X0)
                          & neq(X0,nil) )
                        | ? [X4] :
                            ( ? [X5] :
                                ( neq(nil,X3)
                                & app(X2,X5) = X4
                                & tl(X3) = X5
                                & ssList(X5) )
                            & X3 != X4
                            & ssList(X4) )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',co1) ).

fof(f1142,plain,
    ( nil != sF12
    | nil = sK2
    | ~ ssList(sK2)
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f366,f267]) ).

fof(f267,plain,
    ( ssList(sF11)
    | ~ spl13_6 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f366,plain,
    ( nil != sF12
    | nil = sK2
    | ~ ssList(sF11)
    | ~ ssList(sK2) ),
    inference(superposition,[],[f177,f237]) ).

fof(f237,plain,
    app(sK2,sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax83) ).

fof(f1117,plain,
    ( spl13_2
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f1112,f266,f262,f249]) ).

fof(f249,plain,
    ( spl13_2
  <=> segmentP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f262,plain,
    ( spl13_5
  <=> sK3 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).

fof(f1112,plain,
    ( segmentP(sK3,sK2)
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(forward_demodulation,[],[f1111,f264]) ).

fof(f264,plain,
    ( sK3 = sF12
    | ~ spl13_5 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f1111,plain,
    ( segmentP(sF12,sK2)
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f1110,f165]) ).

fof(f1110,plain,
    ( segmentP(sF12,sK2)
    | ~ ssList(sK2)
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f1089,f267]) ).

fof(f1089,plain,
    ( segmentP(sF12,sK2)
    | ~ ssList(sF11)
    | ~ ssList(sK2) ),
    inference(superposition,[],[f890,f237]) ).

fof(f890,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f889,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,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/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax26) ).

fof(f889,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(subsumption_resolution,[],[f879,f200]) ).

fof(f200,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax17) ).

fof(f879,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f869]) ).

fof(f869,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0) ),
    inference(superposition,[],[f235,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax28) ).

fof(f235,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f218]) ).

fof(f218,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
                & ssList(sK10(X0,X1))
                & ssList(sK9(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f159,f161,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK9(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK9(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK9(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
        & ssList(sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax7) ).

fof(f777,plain,
    ( ~ spl13_3
    | spl13_7
    | ~ spl13_8 ),
    inference(avatar_contradiction_clause,[],[f776]) ).

fof(f776,plain,
    ( $false
    | ~ spl13_3
    | spl13_7
    | ~ spl13_8 ),
    inference(subsumption_resolution,[],[f772,f751]) ).

fof(f751,plain,
    ( ~ neq(nil,nil)
    | spl13_7
    | ~ spl13_8 ),
    inference(forward_demodulation,[],[f272,f308]) ).

fof(f272,plain,
    ( ~ neq(nil,sK3)
    | spl13_7 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl13_7
  <=> neq(nil,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).

fof(f772,plain,
    ( neq(nil,nil)
    | ~ spl13_3
    | ~ spl13_8 ),
    inference(superposition,[],[f254,f308]) ).

fof(f727,plain,
    ( ~ spl13_8
    | ~ spl13_5
    | spl13_9 ),
    inference(avatar_split_clause,[],[f644,f354,f262,f306]) ).

fof(f644,plain,
    ( nil != sK3
    | ~ spl13_5
    | spl13_9 ),
    inference(superposition,[],[f356,f264]) ).

fof(f356,plain,
    ( nil != sF12
    | spl13_9 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f642,plain,
    ( spl13_7
    | spl13_8 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | spl13_7
    | spl13_8 ),
    inference(subsumption_resolution,[],[f640,f200]) ).

fof(f640,plain,
    ( ~ ssList(nil)
    | spl13_7
    | spl13_8 ),
    inference(subsumption_resolution,[],[f639,f166]) ).

fof(f166,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f144]) ).

fof(f639,plain,
    ( ~ ssList(sK3)
    | ~ ssList(nil)
    | spl13_7
    | spl13_8 ),
    inference(subsumption_resolution,[],[f628,f307]) ).

fof(f307,plain,
    ( nil != sK3
    | spl13_8 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f628,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | ~ ssList(nil)
    | spl13_7 ),
    inference(resolution,[],[f272,f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f117,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/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax15) ).

fof(f412,plain,
    ( spl13_1
    | ~ spl13_5
    | ~ spl13_6
    | spl13_8 ),
    inference(avatar_contradiction_clause,[],[f411]) ).

fof(f411,plain,
    ( $false
    | spl13_1
    | ~ spl13_5
    | ~ spl13_6
    | spl13_8 ),
    inference(subsumption_resolution,[],[f410,f166]) ).

fof(f410,plain,
    ( ~ ssList(sK3)
    | spl13_1
    | ~ spl13_5
    | ~ spl13_6
    | spl13_8 ),
    inference(subsumption_resolution,[],[f409,f307]) ).

fof(f409,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | spl13_1
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f407,f334]) ).

fof(f334,plain,
    ( sK3 = sF11
    | spl13_1
    | ~ spl13_5
    | ~ spl13_6 ),
    inference(subsumption_resolution,[],[f331,f267]) ).

fof(f331,plain,
    ( sK3 = sF11
    | ~ ssList(sF11)
    | spl13_1
    | ~ spl13_5 ),
    inference(superposition,[],[f321,f183]) ).

fof(f321,plain,
    ( sK3 = app(nil,sF11)
    | spl13_1
    | ~ spl13_5 ),
    inference(forward_demodulation,[],[f318,f264]) ).

fof(f318,plain,
    ( sF12 = app(nil,sF11)
    | spl13_1 ),
    inference(superposition,[],[f237,f317]) ).

fof(f317,plain,
    ( nil = sK2
    | spl13_1 ),
    inference(subsumption_resolution,[],[f316,f165]) ).

fof(f316,plain,
    ( nil = sK2
    | ~ ssList(sK2)
    | spl13_1 ),
    inference(subsumption_resolution,[],[f311,f200]) ).

fof(f311,plain,
    ( nil = sK2
    | ~ ssList(nil)
    | ~ ssList(sK2)
    | spl13_1 ),
    inference(resolution,[],[f197,f247]) ).

fof(f407,plain,
    ( sK3 != sF11
    | nil = sK3
    | ~ ssList(sK3) ),
    inference(superposition,[],[f406,f236]) ).

fof(f236,plain,
    tl(sK3) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f406,plain,
    ! [X0] :
      ( tl(X0) != X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f401]) ).

fof(f401,plain,
    ! [X0] :
      ( tl(X0) != X0
      | nil = X0
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f378,f376]) ).

fof(f376,plain,
    ! [X0] :
      ( tl(X0) = sK4(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f375,f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ssList(sK4(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ( cons(sK5(X0),sK4(X0)) = X0
        & ssItem(sK5(X0))
        & ssList(sK4(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f112,f148,f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK4(X0)) = X0
            & ssItem(X2) )
        & ssList(sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK4(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK5(X0),sK4(X0)) = X0
        & ssItem(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax20) ).

fof(f375,plain,
    ! [X0] :
      ( tl(X0) = sK4(X0)
      | ~ ssList(sK4(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f372,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ssItem(sK5(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f372,plain,
    ! [X0] :
      ( tl(X0) = sK4(X0)
      | ~ ssItem(sK5(X0))
      | ~ ssList(sK4(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f206,f188]) ).

fof(f188,plain,
    ! [X0] :
      ( cons(sK5(X0),sK4(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax25) ).

fof(f378,plain,
    ! [X0] :
      ( sK4(X0) != X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f377,f186]) ).

fof(f377,plain,
    ! [X0] :
      ( sK4(X0) != X0
      | ~ ssList(sK4(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f373,f187]) ).

fof(f373,plain,
    ! [X0] :
      ( sK4(X0) != X0
      | ~ ssItem(sK5(X0))
      | ~ ssList(sK4(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f191,f188]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax18) ).

fof(f303,plain,
    ( ~ spl13_3
    | spl13_6 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl13_3
    | spl13_6 ),
    inference(subsumption_resolution,[],[f300,f200]) ).

fof(f300,plain,
    ( ~ ssList(nil)
    | ~ spl13_3
    | spl13_6 ),
    inference(resolution,[],[f290,f241]) ).

fof(f241,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f232]) ).

fof(f232,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f290,plain,
    ( neq(nil,nil)
    | ~ spl13_3
    | spl13_6 ),
    inference(superposition,[],[f254,f287]) ).

fof(f287,plain,
    ( nil = sK3
    | spl13_6 ),
    inference(subsumption_resolution,[],[f286,f166]) ).

fof(f286,plain,
    ( nil = sK3
    | ~ ssList(sK3)
    | spl13_6 ),
    inference(subsumption_resolution,[],[f285,f268]) ).

fof(f268,plain,
    ( ~ ssList(sF11)
    | spl13_6 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f285,plain,
    ( ssList(sF11)
    | nil = sK3
    | ~ ssList(sK3) ),
    inference(superposition,[],[f207,f236]) ).

fof(f207,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426',ax24) ).

fof(f284,plain,
    ( ~ spl13_6
    | spl13_4 ),
    inference(avatar_split_clause,[],[f283,f258,f266]) ).

fof(f258,plain,
    ( spl13_4
  <=> ssList(sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f283,plain,
    ( ssList(sF12)
    | ~ ssList(sF11) ),
    inference(subsumption_resolution,[],[f278,f165]) ).

fof(f278,plain,
    ( ssList(sF12)
    | ~ ssList(sF11)
    | ~ ssList(sK2) ),
    inference(superposition,[],[f195,f237]) ).

fof(f276,plain,
    spl13_3,
    inference(avatar_split_clause,[],[f243,f253]) ).

fof(f243,plain,
    neq(sK3,nil),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f223,plain,
    ( neq(sK3,nil)
    | neq(sK3,nil) ),
    inference(definition_unfolding,[],[f169,f167,f167]) ).

fof(f167,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f144]) ).

fof(f169,plain,
    ( neq(sK1,nil)
    | neq(sK1,nil) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f273,plain,
    ( ~ spl13_4
    | spl13_5
    | ~ spl13_6
    | ~ spl13_7
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f238,f253,f270,f266,f262,f258]) ).

fof(f238,plain,
    ( ~ neq(sK3,nil)
    | ~ neq(nil,sK3)
    | ~ ssList(sF11)
    | sK3 = sF12
    | ~ ssList(sF12) ),
    inference(definition_folding,[],[f227,f237,f236,f237,f236,f236]) ).

fof(f227,plain,
    ( ~ neq(sK3,nil)
    | ~ neq(nil,sK3)
    | ~ ssList(tl(sK3))
    | sK3 = app(sK2,tl(sK3))
    | ~ ssList(app(sK2,tl(sK3))) ),
    inference(equality_resolution,[],[f226]) ).

fof(f226,plain,
    ! [X5] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | tl(sK3) != X5
      | ~ ssList(X5)
      | app(sK2,X5) = sK3
      | ~ ssList(app(sK2,X5)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,plain,
    ! [X4,X5] :
      ( ~ neq(sK3,nil)
      | ~ neq(nil,sK3)
      | app(sK2,X5) != X4
      | tl(sK3) != X5
      | ~ ssList(X5)
      | sK3 = X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f256,plain,
    ( ~ spl13_1
    | ~ spl13_2
    | ~ spl13_3 ),
    inference(avatar_split_clause,[],[f219,f253,f249,f245]) ).

fof(f219,plain,
    ( ~ neq(sK3,nil)
    | ~ segmentP(sK3,sK2)
    | ~ neq(sK2,nil) ),
    inference(definition_unfolding,[],[f174,f167,f168,f168]) ).

fof(f168,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f144]) ).

fof(f174,plain,
    ( ~ neq(sK3,nil)
    | ~ segmentP(sK1,sK0)
    | ~ neq(sK0,nil) ),
    inference(cnf_transformation,[],[f144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC120+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % 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
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:35:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34  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/tmp/tmp.WkPkzkrOyO/Vampire---4.8_21426
% 0.50/0.71  % (21534)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71  % (21538)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71  % (21537)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.71  % (21536)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.71  % (21539)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.71  % (21535)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.71  % (21540)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.71  % (21541)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.71  % (21541)Refutation not found, incomplete strategy% (21541)------------------------------
% 0.50/0.71  % (21541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71  % (21541)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71  
% 0.50/0.71  % (21541)Memory used [KB]: 1155
% 0.50/0.71  % (21541)Time elapsed: 0.005 s
% 0.50/0.71  % (21541)Instructions burned: 6 (million)
% 0.50/0.71  % (21541)------------------------------
% 0.50/0.71  % (21541)------------------------------
% 0.50/0.72  % (21542)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 Vampire---4 for (2996ds/55Mi)
% 0.50/0.72  % (21534)Instruction limit reached!
% 0.50/0.72  % (21534)------------------------------
% 0.50/0.72  % (21534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (21534)Termination reason: Unknown
% 0.50/0.72  % (21534)Termination phase: Saturation
% 0.50/0.72  
% 0.50/0.72  % (21534)Memory used [KB]: 1447
% 0.50/0.72  % (21534)Time elapsed: 0.012 s
% 0.50/0.72  % (21534)Instructions burned: 35 (million)
% 0.50/0.72  % (21534)------------------------------
% 0.50/0.72  % (21534)------------------------------
% 0.50/0.72  % (21543)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 Vampire---4 for (2996ds/50Mi)
% 0.50/0.72  % (21538)Instruction limit reached!
% 0.50/0.72  % (21538)------------------------------
% 0.50/0.72  % (21538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (21538)Termination reason: Unknown
% 0.50/0.72  % (21538)Termination phase: Saturation
% 0.50/0.72  
% 0.50/0.72  % (21538)Memory used [KB]: 2019
% 0.50/0.72  % (21538)Time elapsed: 0.016 s
% 0.50/0.72  % (21538)Instructions burned: 34 (million)
% 0.50/0.72  % (21538)------------------------------
% 0.50/0.72  % (21538)------------------------------
% 0.50/0.72  % (21537)Instruction limit reached!
% 0.50/0.72  % (21537)------------------------------
% 0.50/0.72  % (21537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (21537)Termination reason: Unknown
% 0.50/0.72  % (21537)Termination phase: Saturation
% 0.50/0.72  
% 0.50/0.72  % (21537)Memory used [KB]: 1796
% 0.50/0.72  % (21537)Time elapsed: 0.018 s
% 0.50/0.72  % (21537)Instructions burned: 34 (million)
% 0.50/0.72  % (21537)------------------------------
% 0.50/0.72  % (21537)------------------------------
% 0.50/0.73  % (21545)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.73  % (21544)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.73  % (21539)Instruction limit reached!
% 0.50/0.73  % (21539)------------------------------
% 0.50/0.73  % (21539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (21539)Termination reason: Unknown
% 0.50/0.73  % (21539)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (21539)Memory used [KB]: 1684
% 0.50/0.73  % (21539)Time elapsed: 0.025 s
% 0.50/0.73  % (21539)Instructions burned: 46 (million)
% 0.50/0.73  % (21539)------------------------------
% 0.50/0.73  % (21539)------------------------------
% 0.50/0.73  % (21543)Instruction limit reached!
% 0.50/0.73  % (21543)------------------------------
% 0.50/0.73  % (21543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73  % (21543)Termination reason: Unknown
% 0.50/0.73  % (21543)Termination phase: Saturation
% 0.50/0.73  
% 0.50/0.73  % (21543)Memory used [KB]: 1921
% 0.50/0.73  % (21543)Time elapsed: 0.015 s
% 0.50/0.73  % (21543)Instructions burned: 52 (million)
% 0.50/0.73  % (21543)------------------------------
% 0.50/0.73  % (21543)------------------------------
% 0.50/0.74  % (21535)Instruction limit reached!
% 0.50/0.74  % (21535)------------------------------
% 0.50/0.74  % (21535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74  % (21535)Termination reason: Unknown
% 0.50/0.74  % (21535)Termination phase: Saturation
% 0.50/0.74  
% 0.50/0.74  % (21535)Memory used [KB]: 2022
% 0.50/0.74  % (21535)Time elapsed: 0.031 s
% 0.50/0.74  % (21535)Instructions burned: 52 (million)
% 0.50/0.74  % (21535)------------------------------
% 0.50/0.74  % (21535)------------------------------
% 0.50/0.74  % (21546)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.74  % (21547)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.65/0.74  % (21548)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.65/0.74  % (21540)Instruction limit reached!
% 0.65/0.74  % (21540)------------------------------
% 0.65/0.74  % (21540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.74  % (21540)Termination reason: Unknown
% 0.65/0.74  % (21540)Termination phase: Saturation
% 0.65/0.74  
% 0.65/0.74  % (21540)Memory used [KB]: 2014
% 0.65/0.74  % (21540)Time elapsed: 0.039 s
% 0.65/0.74  % (21540)Instructions burned: 84 (million)
% 0.65/0.74  % (21540)------------------------------
% 0.65/0.74  % (21540)------------------------------
% 0.65/0.75  % (21542)Instruction limit reached!
% 0.65/0.75  % (21542)------------------------------
% 0.65/0.75  % (21542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.75  % (21542)Termination reason: Unknown
% 0.65/0.75  % (21542)Termination phase: Saturation
% 0.65/0.75  
% 0.65/0.75  % (21542)Memory used [KB]: 2019
% 0.65/0.75  % (21542)Time elapsed: 0.032 s
% 0.65/0.75  % (21542)Instructions burned: 55 (million)
% 0.65/0.75  % (21542)------------------------------
% 0.65/0.75  % (21542)------------------------------
% 0.65/0.75  % (21536)Instruction limit reached!
% 0.65/0.75  % (21536)------------------------------
% 0.65/0.75  % (21536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.75  % (21536)Termination reason: Unknown
% 0.65/0.75  % (21536)Termination phase: Saturation
% 0.65/0.75  
% 0.65/0.75  % (21536)Memory used [KB]: 1889
% 0.65/0.75  % (21536)Time elapsed: 0.043 s
% 0.65/0.75  % (21536)Instructions burned: 78 (million)
% 0.65/0.75  % (21536)------------------------------
% 0.65/0.75  % (21536)------------------------------
% 0.65/0.75  % (21544)First to succeed.
% 0.65/0.75  % (21547)Instruction limit reached!
% 0.65/0.75  % (21547)------------------------------
% 0.65/0.75  % (21547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.75  % (21547)Termination reason: Unknown
% 0.65/0.75  % (21547)Termination phase: Saturation
% 0.65/0.75  
% 0.65/0.75  % (21547)Memory used [KB]: 2092
% 0.65/0.75  % (21547)Time elapsed: 0.014 s
% 0.65/0.75  % (21547)Instructions burned: 42 (million)
% 0.65/0.75  % (21547)------------------------------
% 0.65/0.75  % (21547)------------------------------
% 0.65/0.75  % (21550)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.65/0.75  % (21544)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21533"
% 0.65/0.75  % (21549)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.65/0.75  % (21551)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.65/0.75  % (21552)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.65/0.75  % (21544)Refutation found. Thanks to Tanya!
% 0.65/0.75  % SZS status Theorem for Vampire---4
% 0.65/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.75  % (21544)------------------------------
% 0.65/0.75  % (21544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.75  % (21544)Termination reason: Refutation
% 0.65/0.75  
% 0.65/0.75  % (21544)Memory used [KB]: 1483
% 0.65/0.75  % (21544)Time elapsed: 0.025 s
% 0.65/0.75  % (21544)Instructions burned: 51 (million)
% 0.65/0.75  % (21533)Success in time 0.397 s
% 0.65/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------