TSTP Solution File: SET811+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET811+4 : TPTP v8.1.0. Released v3.2.0.
% 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 18:22:20 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   79 (   5 unt;   0 def)
%            Number of atoms       :  258 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  276 (  97   ~;  93   |;  55   &)
%                                         (  16 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :  121 ( 108   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f518,plain,
    $false,
    inference(avatar_sat_refutation,[],[f206,f263,f299,f351,f517]) ).

fof(f517,plain,
    ( spl16_1
    | spl16_10 ),
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | spl16_1
    | spl16_10 ),
    inference(subsumption_resolution,[],[f515,f302]) ).

fof(f302,plain,
    ( member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3)
    | spl16_1 ),
    inference(resolution,[],[f201,f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | member(sK14(X0,X1),X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( member(sK14(X0,X1),X1)
          & ~ member(sK14(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f110,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & ~ member(X3,X0) )
     => ( member(sK14(X0,X1),X1)
        & ~ member(sK14(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( member(X3,X1)
            & ~ member(X3,X0) ) ) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X2] :
            ( member(X2,X1)
            & ~ member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ member(X2,X1)
          | member(X2,X0) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
         => member(X2,X0) )
    <=> subset(X1,X0) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).

fof(f201,plain,
    ( ~ subset(sK3,initial_segment(sK3,member_predicate,sK2))
    | spl16_1 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl16_1
  <=> subset(sK3,initial_segment(sK3,member_predicate,sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f515,plain,
    ( ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3)
    | spl16_10 ),
    inference(resolution,[],[f352,f136]) ).

fof(f136,plain,
    member(sK3,sK2),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( member(sK3,sK2)
    & ~ equal_set(sK3,initial_segment(sK3,member_predicate,sK2))
    & member(sK2,on) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f55,f69,f68]) ).

fof(f68,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( member(X1,X0)
            & ~ equal_set(X1,initial_segment(X1,member_predicate,X0)) )
        & member(X0,on) )
   => ( ? [X1] :
          ( member(X1,sK2)
          & ~ equal_set(X1,initial_segment(X1,member_predicate,sK2)) )
      & member(sK2,on) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ( ? [X1] :
        ( member(X1,sK2)
        & ~ equal_set(X1,initial_segment(X1,member_predicate,sK2)) )
   => ( member(sK3,sK2)
      & ~ equal_set(sK3,initial_segment(sK3,member_predicate,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ? [X0] :
      ( ? [X1] :
          ( member(X1,X0)
          & ~ equal_set(X1,initial_segment(X1,member_predicate,X0)) )
      & member(X0,on) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ~ ! [X0] :
        ( member(X0,on)
       => ! [X1] :
            ( member(X1,X0)
           => equal_set(X1,initial_segment(X1,member_predicate,X0)) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ! [X0] :
        ( member(X0,on)
       => ! [X2] :
            ( member(X2,X0)
           => equal_set(X2,initial_segment(X2,member_predicate,X0)) ) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ! [X0] :
      ( member(X0,on)
     => ! [X2] :
          ( member(X2,X0)
         => equal_set(X2,initial_segment(X2,member_predicate,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV5) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ member(X0,sK2)
        | ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),X0) )
    | spl16_10 ),
    inference(resolution,[],[f262,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( member(X1,sK2)
      | ~ member(X1,X0)
      | ~ member(X0,sK2) ),
    inference(resolution,[],[f193,f179]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X0)
      | ~ member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f193,plain,
    ! [X0] :
      ( subset(X0,sK2)
      | ~ member(X0,sK2) ),
    inference(resolution,[],[f134,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ member(X0,on)
      | subset(X1,X0)
      | ~ member(X1,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & set(X0)
          & strict_well_order(member_predicate,X0) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ( ~ subset(sK4(X0),X0)
          & member(sK4(X0),X0) )
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f76,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ subset(X2,X0)
          & member(X2,X0) )
     => ( ~ subset(sK4(X0),X0)
        & member(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & set(X0)
          & strict_well_order(member_predicate,X0) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ? [X2] :
            ( ~ subset(X2,X0)
            & member(X2,X0) )
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0) ) ),
    inference(rectify,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & set(X0)
          & strict_well_order(member_predicate,X0) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) )
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0) ) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ( ( ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) )
          & set(X0)
          & strict_well_order(member_predicate,X0) )
        | ~ member(X0,on) )
      & ( member(X0,on)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) )
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( subset(X1,X0)
            | ~ member(X1,X0) )
        & set(X0)
        & strict_well_order(member_predicate,X0) )
    <=> member(X0,on) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ( set(X0)
        & ! [X1] :
            ( member(X1,X0)
           => subset(X1,X0) )
        & strict_well_order(member_predicate,X0) )
    <=> member(X0,on) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ( strict_well_order(member_predicate,X0)
        & set(X0)
        & ! [X2] :
            ( member(X2,X0)
           => subset(X2,X0) ) )
    <=> member(X0,on) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinal_number) ).

fof(f134,plain,
    member(sK2,on),
    inference(cnf_transformation,[],[f70]) ).

fof(f262,plain,
    ( ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK2)
    | spl16_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl16_10
  <=> member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).

fof(f351,plain,
    ( spl16_1
    | spl16_9 ),
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | spl16_1
    | spl16_9 ),
    inference(subsumption_resolution,[],[f340,f302]) ).

fof(f340,plain,
    ( ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3)
    | spl16_9 ),
    inference(resolution,[],[f258,f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( apply(member_predicate,X1,X0)
      | ~ member(X1,X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( member(X1,X0)
        | ~ apply(member_predicate,X1,X0) )
      & ( apply(member_predicate,X1,X0)
        | ~ member(X1,X0) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X1,X0] :
      ( ( member(X0,X1)
        | ~ apply(member_predicate,X0,X1) )
      & ( apply(member_predicate,X0,X1)
        | ~ member(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( member(X0,X1)
    <=> apply(member_predicate,X0,X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X2,X4] :
      ( apply(member_predicate,X2,X4)
    <=> member(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_member) ).

fof(f258,plain,
    ( ~ apply(member_predicate,sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3)
    | spl16_9 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl16_9
  <=> apply(member_predicate,sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).

fof(f299,plain,
    spl16_2,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl16_2 ),
    inference(subsumption_resolution,[],[f297,f288]) ).

fof(f288,plain,
    ( ~ apply(member_predicate,sK14(sK3,initial_segment(sK3,member_predicate,sK2)),sK3)
    | spl16_2 ),
    inference(resolution,[],[f283,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( member(X1,X0)
      | ~ apply(member_predicate,X1,X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f283,plain,
    ( ~ member(sK14(sK3,initial_segment(sK3,member_predicate,sK2)),sK3)
    | spl16_2 ),
    inference(resolution,[],[f205,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ member(sK14(X0,X1),X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f205,plain,
    ( ~ subset(initial_segment(sK3,member_predicate,sK2),sK3)
    | spl16_2 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f203,plain,
    ( spl16_2
  <=> subset(initial_segment(sK3,member_predicate,sK2),sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f297,plain,
    ( apply(member_predicate,sK14(sK3,initial_segment(sK3,member_predicate,sK2)),sK3)
    | spl16_2 ),
    inference(resolution,[],[f285,f181]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X1,initial_segment(X2,X0,X3))
      | apply(X0,X1,X2) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( member(X1,X3)
          & apply(X0,X1,X2) )
        | ~ member(X1,initial_segment(X2,X0,X3)) )
      & ( member(X1,initial_segment(X2,X0,X3))
        | ~ member(X1,X3)
        | ~ apply(X0,X1,X2) ) ),
    inference(rectify,[],[f114]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1] :
      ( ( ( member(X3,X1)
          & apply(X2,X3,X0) )
        | ~ member(X3,initial_segment(X0,X2,X1)) )
      & ( member(X3,initial_segment(X0,X2,X1))
        | ~ member(X3,X1)
        | ~ apply(X2,X3,X0) ) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1] :
      ( ( ( member(X3,X1)
          & apply(X2,X3,X0) )
        | ~ member(X3,initial_segment(X0,X2,X1)) )
      & ( member(X3,initial_segment(X0,X2,X1))
        | ~ member(X3,X1)
        | ~ apply(X2,X3,X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( ( member(X3,X1)
        & apply(X2,X3,X0) )
    <=> member(X3,initial_segment(X0,X2,X1)) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X2,X0,X5,X4] :
      ( ( apply(X5,X4,X2)
        & member(X4,X0) )
    <=> member(X4,initial_segment(X2,X5,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_segment) ).

fof(f285,plain,
    ( member(sK14(sK3,initial_segment(sK3,member_predicate,sK2)),initial_segment(sK3,member_predicate,sK2))
    | spl16_2 ),
    inference(resolution,[],[f205,f178]) ).

fof(f263,plain,
    ( ~ spl16_9
    | ~ spl16_10
    | spl16_1 ),
    inference(avatar_split_clause,[],[f253,f199,f260,f256]) ).

fof(f253,plain,
    ( ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK2)
    | ~ apply(member_predicate,sK14(initial_segment(sK3,member_predicate,sK2),sK3),sK3)
    | spl16_1 ),
    inference(resolution,[],[f210,f180]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1] :
      ( member(X1,initial_segment(X2,X0,X3))
      | ~ member(X1,X3)
      | ~ apply(X0,X1,X2) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f210,plain,
    ( ~ member(sK14(initial_segment(sK3,member_predicate,sK2),sK3),initial_segment(sK3,member_predicate,sK2))
    | spl16_1 ),
    inference(resolution,[],[f201,f177]) ).

fof(f206,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(avatar_split_clause,[],[f197,f203,f199]) ).

fof(f197,plain,
    ( ~ subset(initial_segment(sK3,member_predicate,sK2),sK3)
    | ~ subset(sK3,initial_segment(sK3,member_predicate,sK2)) ),
    inference(resolution,[],[f135,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( equal_set(X1,X0)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X1,X0] :
      ( equal_set(X1,X0)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
     => equal_set(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
    <=> equal_set(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
    <=> equal_set(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).

fof(f135,plain,
    ~ equal_set(sK3,initial_segment(sK3,member_predicate,sK2)),
    inference(cnf_transformation,[],[f70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET811+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 14:27:04 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (11799)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.46  % (11808)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.46  % (11803)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)
% 0.18/0.46  % (11795)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.47  % (11807)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.47  % (11810)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47  % (11812)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.47  % (11810)Instruction limit reached!
% 0.18/0.47  % (11810)------------------------------
% 0.18/0.47  % (11810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (11801)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)
% 0.18/0.47  % (11821)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.47  % (11804)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.47  % (11812)Instruction limit reached!
% 0.18/0.47  % (11812)------------------------------
% 0.18/0.47  % (11812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (11812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (11812)Termination reason: Unknown
% 0.18/0.47  % (11812)Termination phase: Property scanning
% 0.18/0.47  
% 0.18/0.47  % (11812)Memory used [KB]: 1535
% 0.18/0.47  % (11812)Time elapsed: 0.004 s
% 0.18/0.47  % (11812)Instructions burned: 3 (million)
% 0.18/0.47  % (11812)------------------------------
% 0.18/0.47  % (11812)------------------------------
% 0.18/0.47  % (11806)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.47  % (11805)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.48  % (11809)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)
% 0.18/0.48  % (11809)Instruction limit reached!
% 0.18/0.48  % (11809)------------------------------
% 0.18/0.48  % (11809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (11817)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (11796)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.48  % (11818)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)
% 0.18/0.48  % (11799)Instruction limit reached!
% 0.18/0.48  % (11799)------------------------------
% 0.18/0.48  % (11799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (11810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (11810)Termination reason: Unknown
% 0.18/0.48  % (11810)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (11810)Memory used [KB]: 6140
% 0.18/0.48  % (11810)Time elapsed: 0.101 s
% 0.18/0.48  % (11810)Instructions burned: 8 (million)
% 0.18/0.48  % (11810)------------------------------
% 0.18/0.48  % (11810)------------------------------
% 0.18/0.48  % (11820)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (11800)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.48  % (11802)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)
% 0.18/0.48  % (11811)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (11799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (11799)Termination reason: Unknown
% 0.18/0.48  % (11799)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (11799)Memory used [KB]: 6140
% 0.18/0.48  % (11799)Time elapsed: 0.100 s
% 0.18/0.48  % (11799)Instructions burned: 13 (million)
% 0.18/0.48  % (11799)------------------------------
% 0.18/0.48  % (11799)------------------------------
% 0.18/0.49  % (11824)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.49  % (11796)Instruction limit reached!
% 0.18/0.49  % (11796)------------------------------
% 0.18/0.49  % (11796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (11819)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)
% 0.18/0.49  % (11816)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.49  % (11822)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49  % (11823)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49  % (11824)Instruction limit reached!
% 0.18/0.49  % (11824)------------------------------
% 0.18/0.49  % (11824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (11824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (11824)Termination reason: Unknown
% 0.18/0.49  % (11824)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (11824)Memory used [KB]: 6140
% 0.18/0.49  % (11824)Time elapsed: 0.117 s
% 0.18/0.49  % (11824)Instructions burned: 9 (million)
% 0.18/0.49  % (11824)------------------------------
% 0.18/0.49  % (11824)------------------------------
% 0.18/0.49  % (11797)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (11798)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (11806)Instruction limit reached!
% 0.18/0.49  % (11806)------------------------------
% 0.18/0.49  % (11806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (11805)Instruction limit reached!
% 0.18/0.49  % (11805)------------------------------
% 0.18/0.49  % (11805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11797)Instruction limit reached!
% 0.18/0.50  % (11797)------------------------------
% 0.18/0.50  % (11797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11807)Instruction limit reached!
% 0.18/0.50  % (11807)------------------------------
% 0.18/0.50  % (11807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11813)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (11797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11797)Termination reason: Unknown
% 0.18/0.50  % (11797)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11797)Memory used [KB]: 1535
% 0.18/0.50  % (11797)Time elapsed: 0.006 s
% 0.18/0.50  % (11797)Instructions burned: 3 (million)
% 0.18/0.50  % (11797)------------------------------
% 0.18/0.50  % (11797)------------------------------
% 0.18/0.50  % (11813)Instruction limit reached!
% 0.18/0.50  % (11813)------------------------------
% 0.18/0.50  % (11813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11813)Termination reason: Unknown
% 0.18/0.50  % (11813)Termination phase: Preprocessing 2
% 0.18/0.50  
% 0.18/0.50  % (11813)Memory used [KB]: 1407
% 0.18/0.50  % (11813)Time elapsed: 0.003 s
% 0.18/0.50  % (11813)Instructions burned: 2 (million)
% 0.18/0.50  % (11813)------------------------------
% 0.18/0.50  % (11813)------------------------------
% 0.18/0.50  % (11805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11805)Termination reason: Unknown
% 0.18/0.50  % (11805)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11805)Memory used [KB]: 6268
% 0.18/0.50  % (11805)Time elapsed: 0.102 s
% 0.18/0.50  % (11805)Instructions burned: 12 (million)
% 0.18/0.50  % (11805)------------------------------
% 0.18/0.50  % (11805)------------------------------
% 0.18/0.50  % (11814)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50  % (11809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11809)Termination reason: Unknown
% 0.18/0.50  % (11809)Termination phase: Clausification
% 0.18/0.50  
% 0.18/0.50  % (11809)Memory used [KB]: 1535
% 0.18/0.50  % (11809)Time elapsed: 0.003 s
% 0.18/0.50  % (11809)Instructions burned: 3 (million)
% 0.18/0.50  % (11809)------------------------------
% 0.18/0.50  % (11809)------------------------------
% 0.18/0.50  % (11825)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)
% 0.18/0.50  % (11796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11796)Termination reason: Unknown
% 0.18/0.50  % (11796)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11796)Memory used [KB]: 6268
% 0.18/0.50  % (11796)Time elapsed: 0.083 s
% 0.18/0.50  % (11796)Instructions burned: 14 (million)
% 0.18/0.50  % (11796)------------------------------
% 0.18/0.50  % (11796)------------------------------
% 0.18/0.50  % (11814)Instruction limit reached!
% 0.18/0.50  % (11814)------------------------------
% 0.18/0.50  % (11814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (11814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11814)Termination reason: Unknown
% 0.18/0.50  % (11814)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11814)Memory used [KB]: 6140
% 0.18/0.50  % (11814)Time elapsed: 0.134 s
% 0.18/0.50  % (11814)Instructions burned: 11 (million)
% 0.18/0.50  % (11814)------------------------------
% 0.18/0.50  % (11814)------------------------------
% 0.18/0.50  % (11806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (11806)Termination reason: Unknown
% 0.18/0.50  % (11806)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (11806)Memory used [KB]: 6140
% 0.18/0.50  % (11806)Time elapsed: 0.098 s
% 0.18/0.50  % (11806)Instructions burned: 7 (million)
% 0.18/0.50  % (11806)------------------------------
% 0.18/0.50  % (11806)------------------------------
% 0.18/0.51  % (11800)Instruction limit reached!
% 0.18/0.51  % (11800)------------------------------
% 0.18/0.51  % (11800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (11800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11800)Termination reason: Unknown
% 0.18/0.51  % (11800)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (11800)Memory used [KB]: 1663
% 0.18/0.51  % (11800)Time elapsed: 0.109 s
% 0.18/0.51  % (11800)Instructions burned: 16 (million)
% 0.18/0.51  % (11800)------------------------------
% 0.18/0.51  % (11800)------------------------------
% 0.18/0.51  % (11807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11807)Termination reason: Unknown
% 0.18/0.51  % (11807)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (11807)Memory used [KB]: 1791
% 0.18/0.51  % (11807)Time elapsed: 0.122 s
% 0.18/0.51  % (11807)Instructions burned: 16 (million)
% 0.18/0.51  % (11807)------------------------------
% 0.18/0.51  % (11807)------------------------------
% 0.18/0.51  % (11804)Instruction limit reached!
% 0.18/0.51  % (11804)------------------------------
% 0.18/0.51  % (11804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (11804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (11804)Termination reason: Unknown
% 0.18/0.51  % (11804)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (11804)Memory used [KB]: 6524
% 0.18/0.51  % (11804)Time elapsed: 0.090 s
% 0.18/0.51  % (11804)Instructions burned: 33 (million)
% 0.18/0.51  % (11804)------------------------------
% 0.18/0.51  % (11804)------------------------------
% 0.18/0.51  % (11822)First to succeed.
% 0.18/0.52  % (11822)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (11822)------------------------------
% 0.18/0.52  % (11822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (11822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (11822)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (11822)Memory used [KB]: 6396
% 0.18/0.52  % (11822)Time elapsed: 0.128 s
% 0.18/0.52  % (11822)Instructions burned: 16 (million)
% 0.18/0.52  % (11822)------------------------------
% 0.18/0.52  % (11822)------------------------------
% 0.18/0.52  % (11794)Success in time 0.176 s
%------------------------------------------------------------------------------