TSTP Solution File: SEU171+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n027.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 18:27:05 EDT 2022

% Result   : Theorem 1.53s 0.57s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   51 (  11 unt;   0 def)
%            Number of atoms       :  218 (  28 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  265 (  98   ~;  71   |;  65   &)
%                                         (  12 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   84 (  65   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f787,plain,
    $false,
    inference(avatar_sat_refutation,[],[f675,f778,f786]) ).

fof(f786,plain,
    ~ spl30_2,
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl30_2 ),
    inference(subsumption_resolution,[],[f693,f668]) ).

fof(f668,plain,
    ( empty(sK14)
    | ~ spl30_2 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f667,plain,
    ( spl30_2
  <=> empty(sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).

fof(f693,plain,
    ~ empty(sK14),
    inference(unit_resulting_resolution,[],[f430,f372]) ).

fof(f372,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f430,plain,
    empty_set != sK14,
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ( empty_set != sK14
    & ~ in(sK16,subset_complement(sK14,sK15))
    & element(sK16,sK14)
    & ~ in(sK16,sK15)
    & element(sK15,powerset(sK14)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f194,f277,f276,f275]) ).

fof(f275,plain,
    ( ? [X0] :
        ( empty_set != X0
        & ? [X1] :
            ( ? [X2] :
                ( ~ in(X2,subset_complement(X0,X1))
                & element(X2,X0)
                & ~ in(X2,X1) )
            & element(X1,powerset(X0)) ) )
   => ( empty_set != sK14
      & ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(sK14,X1))
              & element(X2,sK14)
              & ~ in(X2,X1) )
          & element(X1,powerset(sK14)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f276,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ~ in(X2,subset_complement(sK14,X1))
            & element(X2,sK14)
            & ~ in(X2,X1) )
        & element(X1,powerset(sK14)) )
   => ( ? [X2] :
          ( ~ in(X2,subset_complement(sK14,sK15))
          & element(X2,sK14)
          & ~ in(X2,sK15) )
      & element(sK15,powerset(sK14)) ) ),
    introduced(choice_axiom,[]) ).

fof(f277,plain,
    ( ? [X2] :
        ( ~ in(X2,subset_complement(sK14,sK15))
        & element(X2,sK14)
        & ~ in(X2,sK15) )
   => ( ~ in(sK16,subset_complement(sK14,sK15))
      & element(sK16,sK14)
      & ~ in(sK16,sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f194,plain,
    ? [X0] :
      ( empty_set != X0
      & ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & element(X2,X0)
              & ~ in(X2,X1) )
          & element(X1,powerset(X0)) ) ),
    inference(flattening,[],[f193]) ).

fof(f193,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ in(X2,subset_complement(X0,X1))
              & ~ in(X2,X1)
              & element(X2,X0) )
          & element(X1,powerset(X0)) )
      & empty_set != X0 ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0] :
        ( empty_set != X0
       => ! [X1] :
            ( element(X1,powerset(X0))
           => ! [X2] :
                ( element(X2,X0)
               => ( ~ in(X2,X1)
                 => in(X2,subset_complement(X0,X1)) ) ) ) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0] :
      ( empty_set != X0
     => ! [X1] :
          ( element(X1,powerset(X0))
         => ! [X2] :
              ( element(X2,X0)
             => ( ~ in(X2,X1)
               => in(X2,subset_complement(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).

fof(f778,plain,
    ~ spl30_3,
    inference(avatar_contradiction_clause,[],[f777]) ).

fof(f777,plain,
    ( $false
    | ~ spl30_3 ),
    inference(subsumption_resolution,[],[f776,f747]) ).

fof(f747,plain,
    ( in(sK16,set_difference(sK14,sK15))
    | ~ spl30_3 ),
    inference(unit_resulting_resolution,[],[f427,f674,f615]) ).

fof(f615,plain,
    ! [X2,X3,X0] :
      ( in(X3,set_difference(X2,X0))
      | ~ in(X3,X2)
      | in(X3,X0) ),
    inference(equality_resolution,[],[f451]) ).

fof(f451,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X2)
      | in(X3,X0)
      | set_difference(X2,X0) != X1 ),
    inference(cnf_transformation,[],[f295]) ).

fof(f295,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( in(X3,X2)
                & ~ in(X3,X0) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X2)
              | in(X3,X0) ) )
        | set_difference(X2,X0) != X1 )
      & ( set_difference(X2,X0) = X1
        | ( ( ~ in(sK18(X0,X1,X2),X1)
            | ~ in(sK18(X0,X1,X2),X2)
            | in(sK18(X0,X1,X2),X0) )
          & ( in(sK18(X0,X1,X2),X1)
            | ( in(sK18(X0,X1,X2),X2)
              & ~ in(sK18(X0,X1,X2),X0) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f293,f294]) ).

fof(f294,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( ~ in(X4,X1)
            | ~ in(X4,X2)
            | in(X4,X0) )
          & ( in(X4,X1)
            | ( in(X4,X2)
              & ~ in(X4,X0) ) ) )
     => ( ( ~ in(sK18(X0,X1,X2),X1)
          | ~ in(sK18(X0,X1,X2),X2)
          | in(sK18(X0,X1,X2),X0) )
        & ( in(sK18(X0,X1,X2),X1)
          | ( in(sK18(X0,X1,X2),X2)
            & ~ in(sK18(X0,X1,X2),X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f293,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( ( in(X3,X2)
                & ~ in(X3,X0) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X2)
              | in(X3,X0) ) )
        | set_difference(X2,X0) != X1 )
      & ( set_difference(X2,X0) = X1
        | ? [X4] :
            ( ( ~ in(X4,X1)
              | ~ in(X4,X2)
              | in(X4,X0) )
            & ( in(X4,X1)
              | ( in(X4,X2)
                & ~ in(X4,X0) ) ) ) ) ),
    inference(rectify,[],[f292]) ).

fof(f292,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) )
        | set_difference(X0,X2) != X1 )
      & ( set_difference(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) )
            & ( in(X3,X1)
              | ( in(X3,X0)
                & ~ in(X3,X2) ) ) ) ) ),
    inference(flattening,[],[f291]) ).

fof(f291,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( ( ( in(X3,X0)
                & ~ in(X3,X2) )
              | ~ in(X3,X1) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) )
        | set_difference(X0,X2) != X1 )
      & ( set_difference(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) )
            & ( in(X3,X1)
              | ( in(X3,X0)
                & ~ in(X3,X2) ) ) ) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X2,X1,X0] :
      ( ! [X3] :
          ( ( in(X3,X0)
            & ~ in(X3,X2) )
        <=> in(X3,X1) )
    <=> set_difference(X0,X2) = X1 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X2,X1] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( ( ~ in(X3,X1)
            & in(X3,X0) )
        <=> in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f674,plain,
    ( in(sK16,sK14)
    | ~ spl30_3 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl30_3
  <=> in(sK16,sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).

fof(f427,plain,
    ~ in(sK16,sK15),
    inference(cnf_transformation,[],[f278]) ).

fof(f776,plain,
    ~ in(sK16,set_difference(sK14,sK15)),
    inference(backward_demodulation,[],[f429,f769]) ).

fof(f769,plain,
    set_difference(sK14,sK15) = subset_complement(sK14,sK15),
    inference(resolution,[],[f426,f533]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = subset_complement(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(cnf_transformation,[],[f354]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( set_difference(X0,X1) = subset_complement(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(rectify,[],[f171]) ).

fof(f171,plain,
    ! [X1,X0] :
      ( set_difference(X1,X0) = subset_complement(X1,X0)
      | ~ element(X0,powerset(X1)) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X1,X0] :
      ( element(X0,powerset(X1))
     => set_difference(X1,X0) = subset_complement(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0] :
      ( element(X1,powerset(X0))
     => set_difference(X0,X1) = subset_complement(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).

fof(f426,plain,
    element(sK15,powerset(sK14)),
    inference(cnf_transformation,[],[f278]) ).

fof(f429,plain,
    ~ in(sK16,subset_complement(sK14,sK15)),
    inference(cnf_transformation,[],[f278]) ).

fof(f675,plain,
    ( spl30_3
    | spl30_2 ),
    inference(avatar_split_clause,[],[f660,f667,f672]) ).

fof(f660,plain,
    ( empty(sK14)
    | in(sK16,sK14) ),
    inference(resolution,[],[f428,f518]) ).

fof(f518,plain,
    ! [X0,X1] :
      ( empty(X0)
      | ~ element(X1,X0)
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f344]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ( ( ( element(X1,X0)
            | ~ in(X1,X0) )
          & ( in(X1,X0)
            | ~ element(X1,X0) ) )
        | empty(X0) )
      & ( ( ( empty(X1)
            | ~ element(X1,X0) )
          & ( element(X1,X0)
            | ~ empty(X1) ) )
        | ~ empty(X0) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,plain,
    ! [X1,X0] :
      ( ( ( ( element(X0,X1)
            | ~ in(X0,X1) )
          & ( in(X0,X1)
            | ~ element(X0,X1) ) )
        | empty(X1) )
      & ( ( ( empty(X0)
            | ~ element(X0,X1) )
          & ( element(X0,X1)
            | ~ empty(X0) ) )
        | ~ empty(X1) ) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X1,X0] :
      ( ( ( element(X0,X1)
        <=> in(X0,X1) )
        | empty(X1) )
      & ( ( empty(X0)
        <=> element(X0,X1) )
        | ~ empty(X1) ) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ( empty(X1)
       => ( empty(X0)
        <=> element(X0,X1) ) )
      & ( ~ empty(X1)
       => ( element(X0,X1)
        <=> in(X0,X1) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ( ~ empty(X0)
       => ( in(X1,X0)
        <=> element(X1,X0) ) )
      & ( empty(X0)
       => ( empty(X1)
        <=> element(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f428,plain,
    element(sK16,sK14),
    inference(cnf_transformation,[],[f278]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.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   : Tue Aug 30 15:01:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (2705)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)
% 0.19/0.53  % (2713)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)
% 0.19/0.53  % (2712)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)
% 0.19/0.54  % (2719)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)
% 1.41/0.54  % (2711)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)
% 1.41/0.54  % (2704)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)
% 1.41/0.54  % (2711)Instruction limit reached!
% 1.41/0.54  % (2711)------------------------------
% 1.41/0.54  % (2711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54  % (2711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54  % (2711)Termination reason: Unknown
% 1.41/0.54  % (2711)Termination phase: Preprocessing 3
% 1.41/0.54  
% 1.41/0.54  % (2711)Memory used [KB]: 1535
% 1.41/0.54  % (2711)Time elapsed: 0.004 s
% 1.41/0.54  % (2711)Instructions burned: 3 (million)
% 1.41/0.54  % (2711)------------------------------
% 1.41/0.54  % (2711)------------------------------
% 1.41/0.54  % (2703)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)
% 1.41/0.55  % (2721)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)
% 1.41/0.55  % (2722)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)
% 1.41/0.55  % (2720)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)
% 1.41/0.55  % (2701)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)
% 1.41/0.55  % (2714)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.55  % (2724)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)
% 1.53/0.56  % (2699)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)
% 1.53/0.56  % (2700)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)
% 1.53/0.56  % (2717)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)
% 1.53/0.56  % (2699)Instruction limit reached!
% 1.53/0.56  % (2699)------------------------------
% 1.53/0.56  % (2699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (2699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (2699)Termination reason: Unknown
% 1.53/0.56  % (2699)Termination phase: Preprocessing 3
% 1.53/0.56  
% 1.53/0.56  % (2699)Memory used [KB]: 1535
% 1.53/0.56  % (2699)Time elapsed: 0.003 s
% 1.53/0.56  % (2699)Instructions burned: 3 (million)
% 1.53/0.56  % (2699)------------------------------
% 1.53/0.56  % (2699)------------------------------
% 1.53/0.56  % (2697)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.53/0.56  % (2716)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)
% 1.53/0.56  % (2706)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)
% 1.53/0.56  % (2715)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)
% 1.53/0.56  % (2707)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)
% 1.53/0.56  % (2725)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)
% 1.53/0.56  % (2701)Instruction limit reached!
% 1.53/0.56  % (2701)------------------------------
% 1.53/0.56  % (2701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (2701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (2701)Termination reason: Unknown
% 1.53/0.56  % (2701)Termination phase: Saturation
% 1.53/0.56  
% 1.53/0.56  % (2701)Memory used [KB]: 6268
% 1.53/0.56  % (2701)Time elapsed: 0.008 s
% 1.53/0.56  % (2701)Instructions burned: 13 (million)
% 1.53/0.56  % (2701)------------------------------
% 1.53/0.56  % (2701)------------------------------
% 1.53/0.56  % (2723)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)
% 1.53/0.57  % (2698)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)
% 1.53/0.57  % (2702)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)
% 1.53/0.57  % (2718)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)
% 1.53/0.57  % (2725)Instruction limit reached!
% 1.53/0.57  % (2725)------------------------------
% 1.53/0.57  % (2725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57  % (2725)Termination reason: Unknown
% 1.53/0.57  % (2715)Instruction limit reached!
% 1.53/0.57  % (2715)------------------------------
% 1.53/0.57  % (2715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2725)Termination phase: Property scanning
% 1.53/0.57  
% 1.53/0.57  % (2715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57  % (2715)Termination reason: Unknown
% 1.53/0.57  % (2725)Memory used [KB]: 1791
% 1.53/0.57  % (2715)Termination phase: SInE selection
% 1.53/0.57  
% 1.53/0.57  % (2725)Time elapsed: 0.005 s
% 1.53/0.57  % (2725)Instructions burned: 9 (million)
% 1.53/0.57  % (2725)------------------------------
% 1.53/0.57  % (2725)------------------------------
% 1.53/0.57  % (2715)Memory used [KB]: 1407
% 1.53/0.57  % (2715)Time elapsed: 0.005 s
% 1.53/0.57  % (2715)Instructions burned: 2 (million)
% 1.53/0.57  % (2715)------------------------------
% 1.53/0.57  % (2715)------------------------------
% 1.53/0.57  % (2709)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)
% 1.53/0.57  % (2714)Instruction limit reached!
% 1.53/0.57  % (2714)------------------------------
% 1.53/0.57  % (2714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57  % (2712)Instruction limit reached!
% 1.53/0.57  % (2712)------------------------------
% 1.53/0.57  % (2712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57  % (2712)Termination reason: Unknown
% 1.53/0.57  % (2712)Termination phase: Saturation
% 1.53/0.57  
% 1.53/0.57  % (2712)Memory used [KB]: 6268
% 1.53/0.57  % (2712)Time elapsed: 0.007 s
% 1.53/0.57  % (2712)Instructions burned: 8 (million)
% 1.53/0.57  % (2712)------------------------------
% 1.53/0.57  % (2712)------------------------------
% 1.53/0.57  % (2704)First to succeed.
% 1.53/0.57  % (2708)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)
% 1.53/0.57  % (2707)Instruction limit reached!
% 1.53/0.57  % (2707)------------------------------
% 1.53/0.57  % (2707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2702)Instruction limit reached!
% 1.53/0.57  % (2702)------------------------------
% 1.53/0.57  % (2702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2726)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)
% 1.53/0.57  % (2704)Refutation found. Thanks to Tanya!
% 1.53/0.57  % SZS status Theorem for theBenchmark
% 1.53/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.57  % (2704)------------------------------
% 1.53/0.57  % (2704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57  % (2704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57  % (2704)Termination reason: Refutation
% 1.53/0.57  
% 1.53/0.57  % (2704)Memory used [KB]: 6396
% 1.53/0.57  % (2704)Time elapsed: 0.133 s
% 1.53/0.57  % (2704)Instructions burned: 18 (million)
% 1.53/0.57  % (2704)------------------------------
% 1.53/0.57  % (2704)------------------------------
% 1.53/0.57  % (2696)Success in time 0.218 s
%------------------------------------------------------------------------------