TSTP Solution File: SEU055+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU055+1 : 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 : n009.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 18:26:29 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   54 (  14 unt;   0 def)
%            Number of atoms       :  186 (  68 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  218 (  86   ~;  77   |;  40   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :   76 (  67   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f324,plain,
    $false,
    inference(subsumption_resolution,[],[f323,f200]) ).

fof(f200,plain,
    sK14(sK4) != sK13(sK4),
    inference(subsumption_resolution,[],[f199,f145]) ).

fof(f145,plain,
    function(sK4),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ~ one_to_one(sK4)
    & relation(sK4)
    & ! [X1,X2] : set_difference(relation_image(sK4,X1),relation_image(sK4,X2)) = relation_image(sK4,set_difference(X1,X2))
    & function(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f60,f93]) ).

fof(f93,plain,
    ( ? [X0] :
        ( ~ one_to_one(X0)
        & relation(X0)
        & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
        & function(X0) )
   => ( ~ one_to_one(sK4)
      & relation(sK4)
      & ! [X2,X1] : set_difference(relation_image(sK4,X1),relation_image(sK4,X2)) = relation_image(sK4,set_difference(X1,X2))
      & function(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & relation(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
         => one_to_one(X0) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
       => one_to_one(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t124_funct_1) ).

fof(f199,plain,
    ( sK14(sK4) != sK13(sK4)
    | ~ function(sK4) ),
    inference(subsumption_resolution,[],[f195,f147]) ).

fof(f147,plain,
    relation(sK4),
    inference(cnf_transformation,[],[f94]) ).

fof(f195,plain,
    ( sK14(sK4) != sK13(sK4)
    | ~ relation(sK4)
    | ~ function(sK4) ),
    inference(resolution,[],[f148,f185]) ).

fof(f185,plain,
    ! [X0] :
      ( one_to_one(X0)
      | sK14(X0) != sK13(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( ( one_to_one(X0)
          | ( sK14(X0) != sK13(X0)
            & in(sK13(X0),relation_dom(X0))
            & in(sK14(X0),relation_dom(X0))
            & apply(X0,sK14(X0)) = apply(X0,sK13(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(X3,relation_dom(X0))
              | ~ in(X4,relation_dom(X0))
              | apply(X0,X4) != apply(X0,X3) )
          | ~ one_to_one(X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f116,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & in(X1,relation_dom(X0))
          & in(X2,relation_dom(X0))
          & apply(X0,X1) = apply(X0,X2) )
     => ( sK14(X0) != sK13(X0)
        & in(sK13(X0),relation_dom(X0))
        & in(sK14(X0),relation_dom(X0))
        & apply(X0,sK14(X0)) = apply(X0,sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(X3,relation_dom(X0))
              | ~ in(X4,relation_dom(X0))
              | apply(X0,X4) != apply(X0,X3) )
          | ~ one_to_one(X0) ) ) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( ( one_to_one(X0)
          | ? [X2,X1] :
              ( X1 != X2
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X2,X1] :
              ( X1 = X2
              | ~ in(X2,relation_dom(X0))
              | ~ in(X1,relation_dom(X0))
              | apply(X0,X1) != apply(X0,X2) )
          | ~ one_to_one(X0) ) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ~ function(X0)
      | ( one_to_one(X0)
      <=> ! [X2,X1] :
            ( X1 = X2
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2) ) ) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ! [X2,X1] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) )
      <=> one_to_one(X0) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( ! [X2,X1] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) )
           => X1 = X2 )
      <=> one_to_one(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f148,plain,
    ~ one_to_one(sK4),
    inference(cnf_transformation,[],[f94]) ).

fof(f323,plain,
    sK14(sK4) = sK13(sK4),
    inference(subsumption_resolution,[],[f318,f189]) ).

fof(f189,plain,
    ! [X1] : singleton(X1) != set_difference(singleton(X1),singleton(X1)),
    inference(equality_resolution,[],[f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( X0 != X1
      | singleton(X1) != set_difference(singleton(X1),singleton(X0)) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( singleton(X1) = set_difference(singleton(X1),singleton(X0))
        | X0 = X1 )
      & ( X0 != X1
        | singleton(X1) != set_difference(singleton(X1),singleton(X0)) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( singleton(X1) = set_difference(singleton(X1),singleton(X0))
    <=> X0 != X1 ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X1,X0] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_zfmisc_1) ).

fof(f318,plain,
    ( set_difference(singleton(apply(sK4,sK13(sK4))),singleton(apply(sK4,sK13(sK4)))) = singleton(apply(sK4,sK13(sK4)))
    | sK14(sK4) = sK13(sK4) ),
    inference(superposition,[],[f229,f226]) ).

fof(f226,plain,
    relation_image(sK4,singleton(sK14(sK4))) = singleton(apply(sK4,sK13(sK4))),
    inference(forward_demodulation,[],[f225,f198]) ).

fof(f198,plain,
    apply(sK4,sK14(sK4)) = apply(sK4,sK13(sK4)),
    inference(subsumption_resolution,[],[f197,f145]) ).

fof(f197,plain,
    ( apply(sK4,sK14(sK4)) = apply(sK4,sK13(sK4))
    | ~ function(sK4) ),
    inference(subsumption_resolution,[],[f196,f147]) ).

fof(f196,plain,
    ( ~ relation(sK4)
    | ~ function(sK4)
    | apply(sK4,sK14(sK4)) = apply(sK4,sK13(sK4)) ),
    inference(resolution,[],[f148,f182]) ).

fof(f182,plain,
    ! [X0] :
      ( one_to_one(X0)
      | ~ function(X0)
      | apply(X0,sK14(X0)) = apply(X0,sK13(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f225,plain,
    relation_image(sK4,singleton(sK14(sK4))) = singleton(apply(sK4,sK14(sK4))),
    inference(resolution,[],[f222,f204]) ).

fof(f204,plain,
    in(sK14(sK4),relation_dom(sK4)),
    inference(subsumption_resolution,[],[f203,f145]) ).

fof(f203,plain,
    ( ~ function(sK4)
    | in(sK14(sK4),relation_dom(sK4)) ),
    inference(subsumption_resolution,[],[f194,f147]) ).

fof(f194,plain,
    ( in(sK14(sK4),relation_dom(sK4))
    | ~ relation(sK4)
    | ~ function(sK4) ),
    inference(resolution,[],[f148,f183]) ).

fof(f183,plain,
    ! [X0] :
      ( one_to_one(X0)
      | in(sK14(X0),relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK4))
      | relation_image(sK4,singleton(X0)) = singleton(apply(sK4,X0)) ),
    inference(subsumption_resolution,[],[f190,f147]) ).

fof(f190,plain,
    ! [X0] :
      ( relation_image(sK4,singleton(X0)) = singleton(apply(sK4,X0))
      | ~ relation(sK4)
      | ~ in(X0,relation_dom(sK4)) ),
    inference(resolution,[],[f145,f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ function(X0)
      | ~ relation(X0)
      | singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
      | ~ in(X1,relation_dom(X0)) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ in(X1,relation_dom(X0))
      | singleton(apply(X0,X1)) = relation_image(X0,singleton(X1))
      | ~ function(X0) ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | ~ in(X0,relation_dom(X1))
      | relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ function(X1) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( in(X0,relation_dom(X1))
       => relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).

fof(f229,plain,
    ! [X0] :
      ( set_difference(relation_image(sK4,singleton(X0)),singleton(apply(sK4,sK13(sK4)))) = relation_image(sK4,singleton(X0))
      | sK13(sK4) = X0 ),
    inference(superposition,[],[f207,f224]) ).

fof(f224,plain,
    relation_image(sK4,singleton(sK13(sK4))) = singleton(apply(sK4,sK13(sK4))),
    inference(resolution,[],[f222,f202]) ).

fof(f202,plain,
    in(sK13(sK4),relation_dom(sK4)),
    inference(subsumption_resolution,[],[f201,f145]) ).

fof(f201,plain,
    ( in(sK13(sK4),relation_dom(sK4))
    | ~ function(sK4) ),
    inference(subsumption_resolution,[],[f192,f147]) ).

fof(f192,plain,
    ( ~ relation(sK4)
    | in(sK13(sK4),relation_dom(sK4))
    | ~ function(sK4) ),
    inference(resolution,[],[f148,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( one_to_one(X0)
      | ~ relation(X0)
      | in(sK13(X0),relation_dom(X0))
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( set_difference(relation_image(sK4,singleton(X0)),relation_image(sK4,singleton(X1))) = relation_image(sK4,singleton(X0))
      | X0 = X1 ),
    inference(superposition,[],[f146,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( singleton(X1) = set_difference(singleton(X1),singleton(X0))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f146,plain,
    ! [X2,X1] : set_difference(relation_image(sK4,X1),relation_image(sK4,X2)) = relation_image(sK4,set_difference(X1,X2)),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU055+1 : 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
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 14:39:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  % (28614)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)
% 0.18/0.48  % (28607)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)
% 0.18/0.48  % (28605)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)
% 0.18/0.49  % (28605)Instruction limit reached!
% 0.18/0.49  % (28605)------------------------------
% 0.18/0.49  % (28605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (28619)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)
% 0.18/0.49  % (28627)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  % (28619)Instruction limit reached!
% 0.18/0.49  % (28619)------------------------------
% 0.18/0.49  % (28619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (28619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (28619)Termination reason: Unknown
% 0.18/0.49  % (28619)Termination phase: Preprocessing 1
% 0.18/0.49  
% 0.18/0.49  % (28619)Memory used [KB]: 1407
% 0.18/0.49  % (28619)Time elapsed: 0.003 s
% 0.18/0.49  % (28619)Instructions burned: 2 (million)
% 0.18/0.49  % (28619)------------------------------
% 0.18/0.49  % (28619)------------------------------
% 0.18/0.50  % (28605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (28605)Termination reason: Unknown
% 0.18/0.50  % (28605)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (28605)Memory used [KB]: 6140
% 0.18/0.50  % (28605)Time elapsed: 0.098 s
% 0.18/0.50  % (28605)Instructions burned: 13 (million)
% 0.18/0.50  % (28605)------------------------------
% 0.18/0.50  % (28605)------------------------------
% 0.18/0.50  % (28606)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)
% 0.18/0.50  % (28624)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)
% 0.18/0.51  % (28621)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)
% 0.18/0.51  % (28608)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)
% 0.18/0.51  % (28613)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)
% 0.18/0.51  % (28615)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)
% 0.18/0.51  % (28615)Instruction limit reached!
% 0.18/0.51  % (28615)------------------------------
% 0.18/0.51  % (28615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (28615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (28615)Termination reason: Unknown
% 0.18/0.51  % (28615)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (28615)Memory used [KB]: 6012
% 0.18/0.51  % (28615)Time elapsed: 0.003 s
% 0.18/0.51  % (28615)Instructions burned: 4 (million)
% 0.18/0.51  % (28615)------------------------------
% 0.18/0.51  % (28615)------------------------------
% 0.18/0.51  % (28613)Refutation not found, incomplete strategy% (28613)------------------------------
% 0.18/0.51  % (28613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (28613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (28613)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (28613)Memory used [KB]: 1535
% 0.18/0.51  % (28613)Time elapsed: 0.129 s
% 0.18/0.51  % (28613)Instructions burned: 4 (million)
% 0.18/0.51  % (28613)------------------------------
% 0.18/0.51  % (28613)------------------------------
% 0.18/0.52  % (28623)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)
% 0.18/0.52  % (28630)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)
% 0.18/0.52  % (28604)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)
% 0.18/0.52  % (28606)First to succeed.
% 0.18/0.52  % (28602)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)
% 0.18/0.52  % (28606)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  % (28606)------------------------------
% 0.18/0.52  % (28606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (28606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (28606)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (28606)Memory used [KB]: 1663
% 0.18/0.52  % (28606)Time elapsed: 0.136 s
% 0.18/0.52  % (28606)Instructions burned: 11 (million)
% 0.18/0.52  % (28606)------------------------------
% 0.18/0.52  % (28606)------------------------------
% 0.18/0.52  % (28599)Success in time 0.178 s
%------------------------------------------------------------------------------