TSTP Solution File: SET069+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET069+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n007.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 18:18:54 EDT 2022

% Result   : Theorem 1.77s 0.60s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (   8 unt;   0 def)
%            Number of atoms       :  195 (  43 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  202 (  78   ~;  81   |;  27   &)
%                                         (  10 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   87 (  80   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f272,f436,f451,f464,f477]) ).

fof(f477,plain,
    ( spl8_2
    | ~ spl8_16 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | spl8_2
    | ~ spl8_16 ),
    inference(unit_resulting_resolution,[],[f245,f467]) ).

fof(f467,plain,
    ( member(sK7,universal_class)
    | spl8_2
    | ~ spl8_16 ),
    inference(backward_demodulation,[],[f443,f450]) ).

fof(f450,plain,
    ( sK4(unordered_pair(sK6,sK7),singleton(sK6)) = sK7
    | ~ spl8_16 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f449,plain,
    ( spl8_16
  <=> sK4(unordered_pair(sK6,sK7),singleton(sK6)) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).

fof(f443,plain,
    ( member(sK4(unordered_pair(sK6,sK7),singleton(sK6)),universal_class)
    | spl8_2 ),
    inference(resolution,[],[f437,f201]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X2))
      | member(X1,universal_class) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ( member(X1,unordered_pair(X0,X2))
        | ( X1 != X2
          & X0 != X1 )
        | ~ member(X1,universal_class) )
      & ( ( ( X1 = X2
            | X0 = X1 )
          & member(X1,universal_class) )
        | ~ member(X1,unordered_pair(X0,X2)) ) ),
    inference(flattening,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ( member(X1,unordered_pair(X0,X2))
        | ( X1 != X2
          & X0 != X1 )
        | ~ member(X1,universal_class) )
      & ( ( ( X1 = X2
            | X0 = X1 )
          & member(X1,universal_class) )
        | ~ member(X1,unordered_pair(X0,X2)) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( member(X1,unordered_pair(X0,X2))
    <=> ( ( X1 = X2
          | X0 = X1 )
        & member(X1,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X2,X1] :
      ( ( ( X0 = X2
          | X1 = X2 )
        & member(X2,universal_class) )
    <=> member(X2,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).

fof(f437,plain,
    ( member(sK4(unordered_pair(sK6,sK7),singleton(sK6)),unordered_pair(sK6,sK7))
    | spl8_2 ),
    inference(resolution,[],[f270,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subclass(X0,X1) )
      & ( subclass(X0,X1)
        | ( member(sK4(X0,X1),X0)
          & ~ member(sK4(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f146,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X0)
          & ~ member(X3,X1) )
     => ( member(sK4(X0,X1),X0)
        & ~ member(sK4(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subclass(X0,X1) )
      & ( subclass(X0,X1)
        | ? [X3] :
            ( member(X3,X0)
            & ~ member(X3,X1) ) ) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subclass(X1,X0) )
      & ( subclass(X1,X0)
        | ? [X2] :
            ( member(X2,X1)
            & ~ member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ member(X2,X1)
          | member(X2,X0) )
    <=> subclass(X1,X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
         => member(X2,X0) )
    <=> subclass(X1,X0) ),
    inference(rectify,[],[f1]) ).

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

fof(f270,plain,
    ( ~ subclass(unordered_pair(sK6,sK7),singleton(sK6))
    | spl8_2 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl8_2
  <=> subclass(unordered_pair(sK6,sK7),singleton(sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f245,plain,
    ~ member(sK7,universal_class),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( ~ member(sK7,universal_class)
    & singleton(sK6) != unordered_pair(sK6,sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f88,f155]) ).

fof(f155,plain,
    ( ? [X0,X1] :
        ( ~ member(X1,universal_class)
        & unordered_pair(X0,X1) != singleton(X0) )
   => ( ~ member(sK7,universal_class)
      & singleton(sK6) != unordered_pair(sK6,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ? [X0,X1] :
      ( ~ member(X1,universal_class)
      & unordered_pair(X0,X1) != singleton(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( ~ member(X1,universal_class)
       => unordered_pair(X0,X1) = singleton(X0) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( ~ member(X1,universal_class)
     => unordered_pair(X0,X1) = singleton(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pair_contains_only_other2) ).

fof(f464,plain,
    ( spl8_2
    | ~ spl8_15 ),
    inference(avatar_contradiction_clause,[],[f462]) ).

fof(f462,plain,
    ( $false
    | spl8_2
    | ~ spl8_15 ),
    inference(unit_resulting_resolution,[],[f456,f458,f256]) ).

fof(f256,plain,
    ! [X0] :
      ( member(X0,singleton(X0))
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f248,f157]) ).

fof(f157,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f248,plain,
    ! [X2,X0] :
      ( member(X2,unordered_pair(X0,X2))
      | ~ member(X2,universal_class) ),
    inference(equality_resolution,[],[f204]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( member(X1,unordered_pair(X0,X2))
      | X1 != X2
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f458,plain,
    ( ~ member(sK6,singleton(sK6))
    | spl8_2
    | ~ spl8_15 ),
    inference(backward_demodulation,[],[f438,f447]) ).

fof(f447,plain,
    ( sK6 = sK4(unordered_pair(sK6,sK7),singleton(sK6))
    | ~ spl8_15 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f446,plain,
    ( spl8_15
  <=> sK6 = sK4(unordered_pair(sK6,sK7),singleton(sK6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).

fof(f438,plain,
    ( ~ member(sK4(unordered_pair(sK6,sK7),singleton(sK6)),singleton(sK6))
    | spl8_2 ),
    inference(resolution,[],[f270,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f456,plain,
    ( member(sK6,universal_class)
    | spl8_2
    | ~ spl8_15 ),
    inference(backward_demodulation,[],[f443,f447]) ).

fof(f451,plain,
    ( spl8_15
    | spl8_16
    | spl8_2 ),
    inference(avatar_split_clause,[],[f442,f269,f449,f446]) ).

fof(f442,plain,
    ( sK4(unordered_pair(sK6,sK7),singleton(sK6)) = sK7
    | sK6 = sK4(unordered_pair(sK6,sK7),singleton(sK6))
    | spl8_2 ),
    inference(resolution,[],[f437,f202]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X2))
      | X1 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f436,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f434,plain,
    ( $false
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f425,f426,f249]) ).

fof(f249,plain,
    ! [X2,X1] :
      ( member(X1,unordered_pair(X1,X2))
      | ~ member(X1,universal_class) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( member(X1,unordered_pair(X0,X2))
      | X0 != X1
      | ~ member(X1,universal_class) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f426,plain,
    ( ~ member(sK6,unordered_pair(sK6,sK7))
    | spl8_1 ),
    inference(backward_demodulation,[],[f278,f422]) ).

fof(f422,plain,
    ( sK6 = sK4(singleton(sK6),unordered_pair(sK6,sK7))
    | spl8_1 ),
    inference(resolution,[],[f292,f277]) ).

fof(f277,plain,
    ( member(sK4(singleton(sK6),unordered_pair(sK6,sK7)),singleton(sK6))
    | spl8_1 ),
    inference(resolution,[],[f267,f231]) ).

fof(f267,plain,
    ( ~ subclass(singleton(sK6),unordered_pair(sK6,sK7))
    | spl8_1 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl8_1
  <=> subclass(singleton(sK6),unordered_pair(sK6,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( X0 = X1
      | X0 = X1
      | ~ member(X1,singleton(X0)) ),
    inference(superposition,[],[f202,f157]) ).

fof(f278,plain,
    ( ~ member(sK4(singleton(sK6),unordered_pair(sK6,sK7)),unordered_pair(sK6,sK7))
    | spl8_1 ),
    inference(resolution,[],[f267,f230]) ).

fof(f425,plain,
    ( member(sK6,universal_class)
    | spl8_1 ),
    inference(backward_demodulation,[],[f342,f422]) ).

fof(f342,plain,
    ( member(sK4(singleton(sK6),unordered_pair(sK6,sK7)),universal_class)
    | spl8_1 ),
    inference(resolution,[],[f273,f277]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f232,f191]) ).

fof(f191,plain,
    ! [X0] : subclass(X0,universal_class),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f272,plain,
    ( ~ spl8_2
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f259,f266,f269]) ).

fof(f259,plain,
    ( ~ subclass(singleton(sK6),unordered_pair(sK6,sK7))
    | ~ subclass(unordered_pair(sK6,sK7),singleton(sK6)) ),
    inference(extensionality_resolution,[],[f200,f244]) ).

fof(f244,plain,
    singleton(sK6) != unordered_pair(sK6,sK7),
    inference(cnf_transformation,[],[f156]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) )
      & ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subclass(X0,X1)
        | ~ subclass(X1,X0) )
      & ( ( subclass(X0,X1)
          & subclass(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subclass(X0,X1)
        | ~ subclass(X1,X0) )
      & ( ( subclass(X0,X1)
          & subclass(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( subclass(X0,X1)
        & subclass(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET069+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 12:52:31 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (9561)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)
% 0.21/0.52  % (9561)Refutation not found, incomplete strategy% (9561)------------------------------
% 0.21/0.52  % (9561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (9561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (9561)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (9561)Memory used [KB]: 5884
% 0.21/0.52  % (9561)Time elapsed: 0.093 s
% 0.21/0.52  % (9561)Instructions burned: 3 (million)
% 0.21/0.52  % (9561)------------------------------
% 0.21/0.52  % (9561)------------------------------
% 0.21/0.52  % (9577)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)
% 0.21/0.54  % (9559)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)
% 0.21/0.54  % (9575)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)
% 0.21/0.54  % (9580)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)
% 0.21/0.54  % (9567)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)
% 0.21/0.54  % (9556)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)
% 0.21/0.54  % (9562)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)
% 0.21/0.55  % (9559)Refutation not found, incomplete strategy% (9559)------------------------------
% 0.21/0.55  % (9559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (9579)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)
% 0.21/0.55  % (9567)Refutation not found, incomplete strategy% (9567)------------------------------
% 0.21/0.55  % (9567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (9559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (9559)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (9559)Memory used [KB]: 5884
% 0.21/0.55  % (9559)Time elapsed: 0.143 s
% 0.21/0.55  % (9559)Instructions burned: 3 (million)
% 0.21/0.55  % (9559)------------------------------
% 0.21/0.55  % (9559)------------------------------
% 0.21/0.55  % (9564)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)
% 0.21/0.55  % (9567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (9567)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (9567)Memory used [KB]: 1663
% 0.21/0.55  % (9567)Time elapsed: 0.150 s
% 0.21/0.55  % (9567)Instructions burned: 8 (million)
% 0.21/0.55  % (9567)------------------------------
% 0.21/0.55  % (9567)------------------------------
% 0.21/0.55  % (9580)Refutation not found, incomplete strategy% (9580)------------------------------
% 0.21/0.55  % (9580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (9580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (9580)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (9580)Memory used [KB]: 6012
% 0.21/0.55  % (9580)Time elapsed: 0.079 s
% 0.21/0.55  % (9580)Instructions burned: 2 (million)
% 0.21/0.55  % (9580)------------------------------
% 0.21/0.55  % (9580)------------------------------
% 0.21/0.55  % (9569)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)
% 0.21/0.55  % (9569)Instruction limit reached!
% 0.21/0.55  % (9569)------------------------------
% 0.21/0.55  % (9569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (9569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (9569)Termination reason: Unknown
% 0.21/0.55  % (9569)Termination phase: Function definition elimination
% 0.21/0.55  
% 0.21/0.55  % (9569)Memory used [KB]: 1535
% 0.21/0.55  % (9569)Time elapsed: 0.003 s
% 0.21/0.55  % (9569)Instructions burned: 4 (million)
% 0.21/0.55  % (9569)------------------------------
% 0.21/0.55  % (9569)------------------------------
% 1.46/0.55  % (9556)Refutation not found, incomplete strategy% (9556)------------------------------
% 1.46/0.55  % (9556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55  % (9556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55  % (9556)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.55  
% 1.46/0.55  % (9556)Memory used [KB]: 6140
% 1.46/0.55  % (9556)Time elapsed: 0.149 s
% 1.46/0.55  % (9556)Instructions burned: 8 (million)
% 1.46/0.55  % (9556)------------------------------
% 1.46/0.55  % (9556)------------------------------
% 1.46/0.56  % (9572)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.56  % (9572)Instruction limit reached!
% 1.46/0.56  % (9572)------------------------------
% 1.46/0.56  % (9572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (9570)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)
% 1.46/0.56  % (9572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (9572)Termination reason: Unknown
% 1.46/0.56  % (9572)Termination phase: Function definition elimination
% 1.46/0.56  
% 1.46/0.56  % (9572)Memory used [KB]: 1535
% 1.46/0.56  % (9572)Time elapsed: 0.004 s
% 1.46/0.56  % (9572)Instructions burned: 4 (million)
% 1.46/0.56  % (9572)------------------------------
% 1.46/0.56  % (9572)------------------------------
% 1.46/0.56  % (9557)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)
% 1.46/0.56  % (9576)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)
% 1.46/0.56  % (9570)Instruction limit reached!
% 1.46/0.56  % (9570)------------------------------
% 1.46/0.56  % (9570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (9570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (9570)Termination reason: Unknown
% 1.46/0.56  % (9570)Termination phase: Saturation
% 1.46/0.56  
% 1.46/0.56  % (9570)Memory used [KB]: 6012
% 1.46/0.56  % (9570)Time elapsed: 0.004 s
% 1.46/0.56  % (9570)Instructions burned: 7 (million)
% 1.46/0.56  % (9570)------------------------------
% 1.46/0.56  % (9570)------------------------------
% 1.46/0.56  % (9557)Instruction limit reached!
% 1.46/0.56  % (9557)------------------------------
% 1.46/0.56  % (9557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (9557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (9557)Termination reason: Unknown
% 1.46/0.56  % (9557)Termination phase: Function definition elimination
% 1.46/0.56  
% 1.46/0.56  % (9557)Memory used [KB]: 1535
% 1.46/0.56  % (9557)Time elapsed: 0.003 s
% 1.46/0.56  % (9557)Instructions burned: 3 (million)
% 1.46/0.56  % (9557)------------------------------
% 1.46/0.56  % (9557)------------------------------
% 1.46/0.56  % (9583)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)
% 1.46/0.57  % (9583)Instruction limit reached!
% 1.46/0.57  % (9583)------------------------------
% 1.46/0.57  % (9583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (9583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (9583)Termination reason: Unknown
% 1.46/0.57  % (9583)Termination phase: Saturation
% 1.46/0.57  
% 1.46/0.57  % (9583)Memory used [KB]: 6140
% 1.46/0.57  % (9583)Time elapsed: 0.161 s
% 1.46/0.57  % (9583)Instructions burned: 8 (million)
% 1.46/0.57  % (9583)------------------------------
% 1.46/0.57  % (9583)------------------------------
% 1.46/0.57  % (9584)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)
% 1.46/0.57  % (9582)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)
% 1.46/0.57  % (9555)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.46/0.57  % (9581)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)
% 1.46/0.57  % (9575)Instruction limit reached!
% 1.46/0.57  % (9575)------------------------------
% 1.46/0.57  % (9575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (9575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (9575)Termination reason: Unknown
% 1.46/0.57  % (9575)Termination phase: Saturation
% 1.46/0.57  
% 1.46/0.57  % (9575)Memory used [KB]: 6524
% 1.46/0.57  % (9575)Time elapsed: 0.155 s
% 1.46/0.57  % (9575)Instructions burned: 31 (million)
% 1.46/0.57  % (9575)------------------------------
% 1.46/0.57  % (9575)------------------------------
% 1.46/0.57  % (9558)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)
% 1.46/0.57  % (9560)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)
% 1.46/0.57  % (9558)Refutation not found, incomplete strategy% (9558)------------------------------
% 1.46/0.57  % (9558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (9558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (9558)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.57  
% 1.46/0.57  % (9558)Memory used [KB]: 6012
% 1.46/0.57  % (9558)Time elapsed: 0.151 s
% 1.46/0.57  % (9558)Instructions burned: 3 (million)
% 1.46/0.57  % (9558)------------------------------
% 1.46/0.57  % (9558)------------------------------
% 1.46/0.57  % (9560)Refutation not found, incomplete strategy% (9560)------------------------------
% 1.46/0.57  % (9560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (9560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (9560)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.57  
% 1.46/0.57  % (9560)Memory used [KB]: 1407
% 1.46/0.57  % (9560)Time elapsed: 0.153 s
% 1.46/0.57  % (9560)Instructions burned: 1 (million)
% 1.46/0.57  % (9560)------------------------------
% 1.46/0.57  % (9560)------------------------------
% 1.46/0.57  % (9565)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)
% 1.77/0.58  % (9568)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)
% 1.77/0.58  % (9574)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)
% 1.77/0.58  % (9578)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)
% 1.77/0.58  % (9573)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)
% 1.77/0.58  % (9573)Instruction limit reached!
% 1.77/0.58  % (9573)------------------------------
% 1.77/0.58  % (9573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (9573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (9573)Termination reason: Unknown
% 1.77/0.58  % (9573)Termination phase: Saturation
% 1.77/0.58  
% 1.77/0.58  % (9573)Memory used [KB]: 1407
% 1.77/0.58  % (9573)Time elapsed: 0.002 s
% 1.77/0.58  % (9573)Instructions burned: 2 (million)
% 1.77/0.58  % (9573)------------------------------
% 1.77/0.58  % (9573)------------------------------
% 1.77/0.58  % (9566)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)
% 1.77/0.59  % (9566)Instruction limit reached!
% 1.77/0.59  % (9566)------------------------------
% 1.77/0.59  % (9566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (9571)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)
% 1.77/0.59  % (9563)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)
% 1.77/0.59  % (9571)Refutation not found, incomplete strategy% (9571)------------------------------
% 1.77/0.59  % (9571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (9571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (9571)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.59  
% 1.77/0.59  % (9571)Memory used [KB]: 6396
% 1.77/0.59  % (9571)Time elapsed: 0.174 s
% 1.77/0.59  % (9571)Instructions burned: 11 (million)
% 1.77/0.59  % (9571)------------------------------
% 1.77/0.59  % (9571)------------------------------
% 1.77/0.59  % (9581)Refutation not found, incomplete strategy% (9581)------------------------------
% 1.77/0.59  % (9581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (9581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (9581)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.59  
% 1.77/0.59  % (9581)Memory used [KB]: 6396
% 1.77/0.59  % (9581)Time elapsed: 0.196 s
% 1.77/0.59  % (9581)Instructions burned: 11 (million)
% 1.77/0.59  % (9581)------------------------------
% 1.77/0.59  % (9581)------------------------------
% 1.77/0.60  % (9565)Refutation not found, incomplete strategy% (9565)------------------------------
% 1.77/0.60  % (9565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (9578)Refutation not found, incomplete strategy% (9578)------------------------------
% 1.77/0.60  % (9578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (9582)First to succeed.
% 1.77/0.60  % (9566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (9566)Termination reason: Unknown
% 1.77/0.60  % (9566)Termination phase: Saturation
% 1.77/0.60  
% 1.77/0.60  % (9566)Memory used [KB]: 6140
% 1.77/0.60  % (9566)Time elapsed: 0.179 s
% 1.77/0.60  % (9566)Instructions burned: 8 (million)
% 1.77/0.60  % (9566)------------------------------
% 1.77/0.60  % (9566)------------------------------
% 1.77/0.60  % (9574)Instruction limit reached!
% 1.77/0.60  % (9574)------------------------------
% 1.77/0.60  % (9574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (9574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (9574)Termination reason: Unknown
% 1.77/0.60  % (9574)Termination phase: Saturation
% 1.77/0.60  
% 1.77/0.60  % (9574)Memory used [KB]: 6140
% 1.77/0.60  % (9574)Time elapsed: 0.179 s
% 1.77/0.60  % (9574)Instructions burned: 11 (million)
% 1.77/0.60  % (9574)------------------------------
% 1.77/0.60  % (9574)------------------------------
% 1.77/0.60  % (9562)Instruction limit reached!
% 1.77/0.60  % (9562)------------------------------
% 1.77/0.60  % (9562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (9562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (9562)Termination reason: Unknown
% 1.77/0.60  % (9562)Termination phase: Saturation
% 1.77/0.60  
% 1.77/0.60  % (9562)Memory used [KB]: 6780
% 1.77/0.60  % (9562)Time elapsed: 0.138 s
% 1.77/0.60  % (9562)Instructions burned: 39 (million)
% 1.77/0.60  % (9562)------------------------------
% 1.77/0.60  % (9562)------------------------------
% 1.77/0.60  % (9582)Refutation found. Thanks to Tanya!
% 1.77/0.60  % SZS status Theorem for theBenchmark
% 1.77/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.60  % (9582)------------------------------
% 1.77/0.60  % (9582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.60  % (9582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.60  % (9582)Termination reason: Refutation
% 1.77/0.60  
% 1.77/0.60  % (9582)Memory used [KB]: 6268
% 1.77/0.60  % (9582)Time elapsed: 0.183 s
% 1.77/0.60  % (9582)Instructions burned: 14 (million)
% 1.77/0.60  % (9582)------------------------------
% 1.77/0.60  % (9582)------------------------------
% 1.77/0.60  % (9553)Success in time 0.254 s
%------------------------------------------------------------------------------