TSTP Solution File: SET663+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n022.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 18:21:47 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   84 (  13 unt;   0 def)
%            Number of atoms       :  261 (  36 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  283 ( 106   ~;  97   |;  43   &)
%                                         (  11 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   77 (  62   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f734,plain,
    $false,
    inference(avatar_sat_refutation,[],[f301,f428,f432,f446,f481,f488,f504,f722,f724,f732]) ).

fof(f732,plain,
    ~ spl15_32,
    inference(avatar_contradiction_clause,[],[f731]) ).

fof(f731,plain,
    ( $false
    | ~ spl15_32 ),
    inference(trivial_inequality_removal,[],[f730]) ).

fof(f730,plain,
    ( empty_set != empty_set
    | ~ spl15_32 ),
    inference(superposition,[],[f164,f499]) ).

fof(f499,plain,
    ( empty_set = sK12
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl15_32
  <=> empty_set = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f164,plain,
    empty_set != sK12,
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ilf_type(sK12,relation_type(empty_set,sK11))
    & ilf_type(sK12,relation_type(sK10,sK11))
    & empty_set != sK12
    & ilf_type(sK11,set_type)
    & ilf_type(sK10,set_type) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f70,f111,f110,f109]) ).

fof(f109,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ilf_type(X2,relation_type(empty_set,X1))
                & ilf_type(X2,relation_type(X0,X1))
                & empty_set != X2 )
            & ilf_type(X1,set_type) )
        & ilf_type(X0,set_type) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ilf_type(X2,relation_type(empty_set,X1))
              & ilf_type(X2,relation_type(sK10,X1))
              & empty_set != X2 )
          & ilf_type(X1,set_type) )
      & ilf_type(sK10,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ilf_type(X2,relation_type(empty_set,X1))
            & ilf_type(X2,relation_type(sK10,X1))
            & empty_set != X2 )
        & ilf_type(X1,set_type) )
   => ( ? [X2] :
          ( ilf_type(X2,relation_type(empty_set,sK11))
          & ilf_type(X2,relation_type(sK10,sK11))
          & empty_set != X2 )
      & ilf_type(sK11,set_type) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ( ? [X2] :
        ( ilf_type(X2,relation_type(empty_set,sK11))
        & ilf_type(X2,relation_type(sK10,sK11))
        & empty_set != X2 )
   => ( ilf_type(sK12,relation_type(empty_set,sK11))
      & ilf_type(sK12,relation_type(sK10,sK11))
      & empty_set != sK12 ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ilf_type(X2,relation_type(empty_set,X1))
              & ilf_type(X2,relation_type(X0,X1))
              & empty_set != X2 )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( empty_set != X2
              & ilf_type(X2,relation_type(empty_set,X1))
              & ilf_type(X2,relation_type(X0,X1)) )
          & ilf_type(X1,set_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,set_type)
           => ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
               => ( ilf_type(X2,relation_type(empty_set,X1))
                 => empty_set = X2 ) ) ) ),
    inference(negated_conjecture,[],[f35]) ).

fof(f35,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( ilf_type(X2,relation_type(empty_set,X1))
               => empty_set = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_26) ).

fof(f724,plain,
    ( spl15_33
    | ~ spl15_40 ),
    inference(avatar_contradiction_clause,[],[f723]) ).

fof(f723,plain,
    ( $false
    | spl15_33
    | ~ spl15_40 ),
    inference(resolution,[],[f720,f520]) ).

fof(f520,plain,
    ( ~ relation_like(sK12)
    | spl15_33 ),
    inference(resolution,[],[f503,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
      | ~ relation_like(X0) ),
    inference(resolution,[],[f190,f124]) ).

fof(f124,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).

fof(f190,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ~ relation_like(X0)
      | ilf_type(X0,binary_relation_type) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ilf_type(X0,binary_relation_type)
      | ~ ilf_type(X0,set_type)
      | ~ relation_like(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ relation_like(X0)
          | ~ ilf_type(X0,set_type) )
        & ( ( relation_like(X0)
            & ilf_type(X0,set_type) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ( ilf_type(X0,binary_relation_type)
          | ~ relation_like(X0)
          | ~ ilf_type(X0,set_type) )
        & ( ( relation_like(X0)
            & ilf_type(X0,set_type) )
          | ~ ilf_type(X0,binary_relation_type) ) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ( ilf_type(X0,binary_relation_type)
      <=> ( relation_like(X0)
          & ilf_type(X0,set_type) ) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( ilf_type(X0,binary_relation_type)
      <=> ( relation_like(X0)
          & ilf_type(X0,set_type) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).

fof(f503,plain,
    ( ~ ilf_type(sK12,binary_relation_type)
    | spl15_33 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl15_33
  <=> ilf_type(sK12,binary_relation_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f720,plain,
    ( relation_like(sK12)
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f718,plain,
    ( spl15_40
  <=> relation_like(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f722,plain,
    ( spl15_40
    | ~ spl15_26
    | ~ spl15_24 ),
    inference(avatar_split_clause,[],[f713,f412,f420,f718]) ).

fof(f420,plain,
    ( spl15_26
  <=> ilf_type(sK11,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f412,plain,
    ( spl15_24
  <=> ilf_type(sK10,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f713,plain,
    ( ~ ilf_type(sK10,set_type)
    | ~ ilf_type(sK11,set_type)
    | relation_like(sK12) ),
    inference(resolution,[],[f535,f165]) ).

fof(f165,plain,
    ilf_type(sK12,relation_type(sK10,sK11)),
    inference(cnf_transformation,[],[f112]) ).

fof(f535,plain,
    ! [X3,X4,X5] :
      ( ~ ilf_type(X4,relation_type(X5,X3))
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X3,set_type)
      | relation_like(X4) ),
    inference(duplicate_literal_removal,[],[f534]) ).

fof(f534,plain,
    ! [X3,X4,X5] :
      ( ~ ilf_type(X3,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X4,relation_type(X5,X3))
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X3,set_type)
      | relation_like(X4) ),
    inference(resolution,[],[f146,f147]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | relation_like(X2) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( relation_like(X2)
              | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,subset_type(cross_product(X0,X1)))
             => relation_like(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ! [X2] :
                ( ~ ilf_type(X2,relation_type(X0,X1))
                | ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
                | ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ( ! [X3] :
                ( ~ ilf_type(X3,relation_type(X0,X1))
                | ilf_type(X3,subset_type(cross_product(X0,X1))) )
            & ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
          | ~ ilf_type(X1,set_type) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).

fof(f504,plain,
    ( spl15_32
    | ~ spl15_33
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f495,f474,f501,f497]) ).

fof(f474,plain,
    ( spl15_30
  <=> empty_set = domain_of(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f495,plain,
    ( ~ ilf_type(sK12,binary_relation_type)
    | empty_set = sK12
    | ~ spl15_30 ),
    inference(trivial_inequality_removal,[],[f493]) ).

fof(f493,plain,
    ( empty_set = sK12
    | ~ ilf_type(sK12,binary_relation_type)
    | empty_set != empty_set
    | ~ spl15_30 ),
    inference(superposition,[],[f173,f476]) ).

fof(f476,plain,
    ( empty_set = domain_of(sK12)
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f173,plain,
    ! [X0] :
      ( empty_set != domain_of(X0)
      | ~ ilf_type(X0,binary_relation_type)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( empty_set = X0
      | ( empty_set != range_of(X0)
        & empty_set != domain_of(X0) )
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( empty_set = X0
      | ( empty_set != range_of(X0)
        & empty_set != domain_of(X0) )
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => ( ( empty_set = domain_of(X0)
          | empty_set = range_of(X0) )
       => empty_set = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f488,plain,
    spl15_31,
    inference(avatar_contradiction_clause,[],[f487]) ).

fof(f487,plain,
    ( $false
    | spl15_31 ),
    inference(resolution,[],[f480,f124]) ).

fof(f480,plain,
    ( ~ ilf_type(domain_of(sK12),set_type)
    | spl15_31 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl15_31
  <=> ilf_type(domain_of(sK12),set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f481,plain,
    ( spl15_30
    | ~ spl15_31
    | ~ spl15_27 ),
    inference(avatar_split_clause,[],[f472,f425,f478,f474]) ).

fof(f425,plain,
    ( spl15_27
  <=> subset(domain_of(sK12),empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f472,plain,
    ( ~ ilf_type(domain_of(sK12),set_type)
    | empty_set = domain_of(sK12)
    | ~ spl15_27 ),
    inference(resolution,[],[f427,f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ subset(X0,empty_set)
      | ~ ilf_type(X0,set_type)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | empty_set = X0
      | ~ subset(X0,empty_set) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( empty_set = X0
      | ~ subset(X0,empty_set)
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( subset(X0,empty_set)
       => empty_set = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).

fof(f427,plain,
    ( subset(domain_of(sK12),empty_set)
    | ~ spl15_27 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f446,plain,
    spl15_24,
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | spl15_24 ),
    inference(resolution,[],[f414,f162]) ).

fof(f162,plain,
    ilf_type(sK10,set_type),
    inference(cnf_transformation,[],[f112]) ).

fof(f414,plain,
    ( ~ ilf_type(sK10,set_type)
    | spl15_24 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f432,plain,
    spl15_26,
    inference(avatar_contradiction_clause,[],[f429]) ).

fof(f429,plain,
    ( $false
    | spl15_26 ),
    inference(resolution,[],[f422,f163]) ).

fof(f163,plain,
    ilf_type(sK11,set_type),
    inference(cnf_transformation,[],[f112]) ).

fof(f422,plain,
    ( ~ ilf_type(sK11,set_type)
    | spl15_26 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f428,plain,
    ( ~ spl15_13
    | ~ spl15_26
    | spl15_27 ),
    inference(avatar_split_clause,[],[f408,f425,f420,f277]) ).

fof(f277,plain,
    ( spl15_13
  <=> ilf_type(empty_set,set_type) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f408,plain,
    ( subset(domain_of(sK12),empty_set)
    | ~ ilf_type(sK11,set_type)
    | ~ ilf_type(empty_set,set_type) ),
    inference(resolution,[],[f128,f166]) ).

fof(f166,plain,
    ilf_type(sK12,relation_type(empty_set,sK11)),
    inference(cnf_transformation,[],[f112]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ~ ilf_type(X0,set_type)
      | subset(domain_of(X2),X0)
      | ~ ilf_type(X1,set_type) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ ilf_type(X0,set_type)
      | ! [X1] :
          ( ~ ilf_type(X1,set_type)
          | ! [X2] :
              ( ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) )
              | ~ ilf_type(X2,relation_type(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,relation_type(X0,X1))
             => ( subset(range_of(X2),X1)
                & subset(domain_of(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f301,plain,
    spl15_13,
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | spl15_13 ),
    inference(resolution,[],[f279,f124]) ).

fof(f279,plain,
    ( ~ ilf_type(empty_set,set_type)
    | spl15_13 ),
    inference(avatar_component_clause,[],[f277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET663+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:12:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (13358)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)
% 0.20/0.50  % (13350)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)
% 0.20/0.50  % (13350)Instruction limit reached!
% 0.20/0.50  % (13350)------------------------------
% 0.20/0.50  % (13350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (13350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (13350)Termination reason: Unknown
% 0.20/0.50  % (13350)Termination phase: Property scanning
% 0.20/0.50  
% 0.20/0.50  % (13350)Memory used [KB]: 1535
% 0.20/0.50  % (13350)Time elapsed: 0.005 s
% 0.20/0.50  % (13350)Instructions burned: 4 (million)
% 0.20/0.50  % (13350)------------------------------
% 0.20/0.50  % (13350)------------------------------
% 0.20/0.51  % (13342)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)
% 0.20/0.51  % (13342)Refutation not found, incomplete strategy% (13342)------------------------------
% 0.20/0.51  % (13342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13342)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (13342)Memory used [KB]: 5884
% 0.20/0.51  % (13342)Time elapsed: 0.064 s
% 0.20/0.51  % (13342)Instructions burned: 2 (million)
% 0.20/0.51  % (13342)------------------------------
% 0.20/0.51  % (13342)------------------------------
% 0.20/0.51  % (13358)First to succeed.
% 0.20/0.52  % (13358)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (13358)------------------------------
% 0.20/0.52  % (13358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (13358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (13358)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (13358)Memory used [KB]: 6268
% 0.20/0.52  % (13358)Time elapsed: 0.070 s
% 0.20/0.52  % (13358)Instructions burned: 13 (million)
% 0.20/0.52  % (13358)------------------------------
% 0.20/0.52  % (13358)------------------------------
% 0.20/0.52  % (13335)Success in time 0.165 s
%------------------------------------------------------------------------------