TSTP Solution File: SWC012-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC012-1 : 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 : n015.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 18:38:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   49 (  12 unt;   0 def)
%            Number of atoms       :  122 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  142 (  69   ~;  64   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f446,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f229,f234,f237,f283,f301,f303,f351,f353,f445]) ).

fof(f445,plain,
    ( ~ spl0_5
    | spl0_23 ),
    inference(avatar_split_clause,[],[f444,f348,f247]) ).

fof(f247,plain,
    ( spl0_5
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f348,plain,
    ( spl0_23
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f444,plain,
    ( ~ ssList(sk3)
    | spl0_23 ),
    inference(trivial_inequality_removal,[],[f443]) ).

fof(f443,plain,
    ( ~ ssList(sk3)
    | sk3 != sk3
    | spl0_23 ),
    inference(superposition,[],[f350,f73]) ).

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

fof(f350,plain,
    ( sk3 != app(sk3,nil)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f353,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | spl0_22 ),
    inference(resolution,[],[f346,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f346,plain,
    ( ~ ssList(sk4)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl0_22
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f351,plain,
    ( ~ spl0_22
    | ~ spl0_13
    | ~ spl0_23
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f342,f299,f348,f286,f344]) ).

fof(f286,plain,
    ( spl0_13
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f299,plain,
    ( spl0_14
  <=> ! [X13] :
        ( ~ ssList(X13)
        | sk4 != app(sk4,X13)
        | sk3 != app(sk3,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f342,plain,
    ( sk3 != app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f341]) ).

fof(f341,plain,
    ( sk4 != sk4
    | sk3 != app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_14 ),
    inference(superposition,[],[f300,f73]) ).

fof(f300,plain,
    ( ! [X13] :
        ( sk4 != app(sk4,X13)
        | sk3 != app(sk3,X13)
        | ~ ssList(X13) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f303,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | spl0_13 ),
    inference(resolution,[],[f288,f8]) ).

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

fof(f288,plain,
    ( ~ ssList(nil)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f301,plain,
    ( ~ spl0_5
    | spl0_14
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f294,f231,f226,f217,f299,f247]) ).

fof(f217,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f226,plain,
    ( spl0_3
  <=> ! [X6,X8,X7] :
        ( ~ ssList(X8)
        | ~ ssItem(X6)
        | sk4 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X7)
        | sk3 != app(X7,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f231,plain,
    ( spl0_4
  <=> sk4 = app(sk3,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f294,plain,
    ( ! [X13] :
        ( ~ ssItem(sk5)
        | ~ ssList(X13)
        | sk3 != app(sk3,X13)
        | ~ ssList(sk3)
        | sk4 != app(sk4,X13) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f227,f233]) ).

fof(f233,plain,
    ( sk4 = app(sk3,cons(sk5,nil))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f227,plain,
    ( ! [X8,X6,X7] :
        ( sk4 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ ssList(X7)
        | ~ ssItem(X6)
        | sk3 != app(X7,X8) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f283,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f282]) ).

fof(f282,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f249,f188]) ).

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

fof(f249,plain,
    ( ~ ssList(sk3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f237,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f215,f221]) ).

fof(f221,plain,
    ( spl0_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f215,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f203,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

fof(f234,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f199,f221,f231]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk3,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f229,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f198,f217,f221]) ).

fof(f198,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f228,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f226,f221]) ).

fof(f200,plain,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | ~ neq(sk4,nil)
      | ~ ssList(X7)
      | sk3 != app(X7,X8)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

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

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | ~ neq(sk4,nil)
      | ~ ssList(X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | sk1 != app(X7,X8)
      | ~ ssList(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC012-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.14/0.33  % Computer : n015.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 18:07:21 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.20/0.46  % (1321)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)
% 0.20/0.47  % (1329)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  % (1321)Instruction limit reached!
% 0.20/0.47  % (1321)------------------------------
% 0.20/0.47  % (1321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (1321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (1321)Termination reason: Unknown
% 0.20/0.47  % (1321)Termination phase: Property scanning
% 0.20/0.47  
% 0.20/0.47  % (1321)Memory used [KB]: 1407
% 0.20/0.47  % (1321)Time elapsed: 0.005 s
% 0.20/0.47  % (1321)Instructions burned: 3 (million)
% 0.20/0.47  % (1321)------------------------------
% 0.20/0.47  % (1321)------------------------------
% 0.20/0.48  % (1329)First to succeed.
% 0.20/0.48  % (1329)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  % (1329)------------------------------
% 0.20/0.48  % (1329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (1329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (1329)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (1329)Memory used [KB]: 6140
% 0.20/0.48  % (1329)Time elapsed: 0.078 s
% 0.20/0.48  % (1329)Instructions burned: 8 (million)
% 0.20/0.48  % (1329)------------------------------
% 0.20/0.48  % (1329)------------------------------
% 0.20/0.48  % (1307)Success in time 0.143 s
%------------------------------------------------------------------------------