TSTP Solution File: SWC418-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC418-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n025.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 18:41:05 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   90 (  12 unt;   0 def)
%            Number of atoms       :  301 (  66 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  411 ( 200   ~; 196   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  16 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f570,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f290,f300,f338,f340,f348,f360,f362,f373,f374,f462,f486,f538,f555,f562,f569]) ).

fof(f569,plain,
    ( spl0_17
    | ~ spl0_19
    | spl0_42 ),
    inference(avatar_split_clause,[],[f568,f552,f345,f306]) ).

fof(f306,plain,
    ( spl0_17
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f345,plain,
    ( spl0_19
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f552,plain,
    ( spl0_42
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f568,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_42 ),
    inference(trivial_inequality_removal,[],[f567]) ).

fof(f567,plain,
    ( sk4 != sk4
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_42 ),
    inference(superposition,[],[f554,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f554,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | spl0_42 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f562,plain,
    ( ~ spl0_31
    | spl0_41 ),
    inference(avatar_split_clause,[],[f561,f548,f473]) ).

fof(f473,plain,
    ( spl0_31
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f548,plain,
    ( spl0_41
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f561,plain,
    ( ~ ssList(sk3)
    | spl0_41 ),
    inference(trivial_inequality_removal,[],[f560]) ).

fof(f560,plain,
    ( sk3 != sk3
    | ~ ssList(sk3)
    | spl0_41 ),
    inference(superposition,[],[f550,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f550,plain,
    ( sk3 != app(sk3,nil)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f555,plain,
    ( ~ spl0_11
    | ~ spl0_41
    | ~ spl0_42
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f543,f536,f271,f263,f552,f548,f279]) ).

fof(f279,plain,
    ( spl0_11
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f263,plain,
    ( spl0_7
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f271,plain,
    ( spl0_9
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f536,plain,
    ( spl0_39
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | sk3 != app(app(X0,cons(X1,nil)),nil)
        | ~ ssItem(X1)
        | cons(X1,X0) != sk4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f543,plain,
    ( ~ ssItem(hd(sk4))
    | sk4 != cons(hd(sk4),tl(sk4))
    | sk3 != app(sk3,nil)
    | ~ ssList(tl(sk4))
    | ~ spl0_9
    | ~ spl0_39 ),
    inference(superposition,[],[f537,f273]) ).

fof(f273,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f537,plain,
    ( ! [X0,X1] :
        ( sk3 != app(app(X0,cons(X1,nil)),nil)
        | cons(X1,X0) != sk4
        | ~ ssList(X0)
        | ~ ssItem(X1) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( ~ spl0_2
    | spl0_39
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f534,f460,f536,f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f460,plain,
    ( spl0_28
  <=> ! [X2,X1] :
        ( ~ ssItem(X1)
        | sk3 != app(app(X2,cons(X1,nil)),nil)
        | ~ ssList(cons(X1,nil))
        | ~ ssList(X2)
        | sk4 != app(cons(X1,nil),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f534,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | cons(X1,X0) != sk4
        | sk3 != app(app(X0,cons(X1,nil)),nil)
        | ~ ssList(nil) )
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f532]) ).

fof(f532,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(nil)
        | ~ ssItem(X1)
        | cons(X1,X0) != sk4
        | sk3 != app(app(X0,cons(X1,nil)),nil) )
    | ~ spl0_28 ),
    inference(resolution,[],[f517,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f517,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(X1)
        | cons(X0,X1) != sk4
        | ~ ssItem(X0) )
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f511]) ).

fof(f511,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | cons(X0,X1) != sk4
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssList(X1)
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssItem(X0) )
    | ~ spl0_28 ),
    inference(superposition,[],[f461,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f461,plain,
    ( ! [X2,X1] :
        ( sk4 != app(cons(X1,nil),X2)
        | sk3 != app(app(X2,cons(X1,nil)),nil)
        | ~ ssList(cons(X1,nil))
        | ~ ssList(X2)
        | ~ ssItem(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f486,plain,
    spl0_31,
    inference(avatar_contradiction_clause,[],[f485]) ).

fof(f485,plain,
    ( $false
    | spl0_31 ),
    inference(resolution,[],[f475,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f475,plain,
    ( ~ ssList(sk3)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f462,plain,
    ( ~ spl0_2
    | spl0_28 ),
    inference(avatar_split_clause,[],[f457,f460,f240]) ).

fof(f457,plain,
    ! [X2,X1] :
      ( ~ ssItem(X1)
      | sk4 != app(cons(X1,nil),X2)
      | ~ ssList(X2)
      | ~ ssList(nil)
      | ~ ssList(cons(X1,nil))
      | sk3 != app(app(X2,cons(X1,nil)),nil) ),
    inference(superposition,[],[f196,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f196,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7)
      | sk3 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssItem(X6)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f374,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f189,f345]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f373,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f372,f306,f283,f240]) ).

fof(f283,plain,
    ( spl0_12
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f372,plain,
    ( ~ ssList(nil)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(resolution,[],[f368,f228]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f368,plain,
    ( neq(nil,nil)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f284,f307]) ).

fof(f307,plain,
    ( nil = sk4
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f284,plain,
    ( neq(sk4,nil)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f362,plain,
    ( spl0_17
    | ~ spl0_19
    | spl0_11 ),
    inference(avatar_split_clause,[],[f361,f279,f345,f306]) ).

fof(f361,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_11 ),
    inference(resolution,[],[f281,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f281,plain,
    ( ~ ssList(tl(sk4))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f360,plain,
    ( spl0_17
    | ~ spl0_19
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f357,f275,f240,f345,f306]) ).

fof(f275,plain,
    ( spl0_10
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f357,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_10 ),
    inference(resolution,[],[f100,f277]) ).

fof(f277,plain,
    ( ~ neq(nil,sk4)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f348,plain,
    ( ~ spl0_19
    | spl0_17
    | spl0_7 ),
    inference(avatar_split_clause,[],[f343,f263,f306,f345]) ).

fof(f343,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_7 ),
    inference(resolution,[],[f76,f265]) ).

fof(f265,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f340,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f339,f267,f263,f240]) ).

fof(f267,plain,
    ( spl0_8
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f339,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(nil)
    | spl0_8 ),
    inference(resolution,[],[f86,f269]) ).

fof(f269,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f338,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f331,f287,f279,f267]) ).

fof(f287,plain,
    ( spl0_13
  <=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f331,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_13 ),
    inference(resolution,[],[f85,f289]) ).

fof(f289,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f300,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f197,f283]) ).

fof(f197,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f290,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f232,f287,f283,f279,f275,f271,f267,f263]) ).

fof(f232,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | ~ neq(sk4,nil)
    | ~ ssList(tl(sk4))
    | ~ neq(nil,sk4)
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4)) ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f221,plain,
    ( ~ neq(nil,sk4)
    | ~ neq(sk4,nil)
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | ~ ssList(cons(hd(sk4),nil))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f220]) ).

fof(f220,plain,
    ! [X6] :
      ( ~ ssList(tl(sk4))
      | ~ neq(nil,sk4)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | sk3 = X6
      | ~ ssItem(hd(sk4))
      | ~ ssList(cons(hd(sk4),nil))
      | app(tl(sk4),cons(hd(sk4),nil)) != X6
      | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f219]) ).

fof(f219,plain,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | ~ neq(nil,sk4)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | sk3 = X6
      | tl(sk4) != X7
      | ~ ssItem(hd(sk4))
      | ~ ssList(cons(hd(sk4),nil))
      | app(X7,cons(hd(sk4),nil)) != X6
      | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f218]) ).

fof(f218,plain,
    ! [X6,X9,X7] :
      ( ~ ssList(X7)
      | ~ neq(nil,sk4)
      | hd(sk4) != X9
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | sk3 = X6
      | tl(sk4) != X7
      | ~ ssItem(X9)
      | ~ ssList(cons(X9,nil))
      | app(X7,cons(X9,nil)) != X6
      | ~ neq(nil,sk4) ),
    inference(equality_resolution,[],[f195]) ).

fof(f195,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ ssList(X7)
      | ~ neq(nil,sk4)
      | cons(X9,nil) != X8
      | hd(sk4) != X9
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | sk3 = X6
      | tl(sk4) != X7
      | ~ ssItem(X9)
      | ~ ssList(X8)
      | app(X7,X8) != X6
      | ~ neq(nil,sk4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f251,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f240]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC418-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % 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 : n025.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 19:03:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.44  % (743)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.46  % (751)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46  % (742)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.46  % (760)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.47  % (751)Instruction limit reached!
% 0.20/0.47  % (751)------------------------------
% 0.20/0.47  % (751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (751)Termination reason: Unknown
% 0.20/0.47  % (751)Termination phase: Function definition elimination
% 0.20/0.47  
% 0.20/0.47  % (751)Memory used [KB]: 1407
% 0.20/0.47  % (751)Time elapsed: 0.004 s
% 0.20/0.47  % (751)Instructions burned: 3 (million)
% 0.20/0.47  % (751)------------------------------
% 0.20/0.47  % (751)------------------------------
% 0.20/0.47  % (743)First to succeed.
% 0.20/0.48  % (743)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (743)------------------------------
% 0.20/0.48  % (743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (743)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (743)Memory used [KB]: 6268
% 0.20/0.48  % (743)Time elapsed: 0.088 s
% 0.20/0.48  % (743)Instructions burned: 17 (million)
% 0.20/0.48  % (743)------------------------------
% 0.20/0.48  % (743)------------------------------
% 0.20/0.48  % (729)Success in time 0.127 s
%------------------------------------------------------------------------------