TSTP Solution File: SWC001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC001-1 : 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_sat --cores 0 -t %d %s

% Computer : n016.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 18:41:07 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   5 unt;   0 def)
%            Number of atoms       :   79 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  40   ~;  42   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f330,plain,
    $false,
    inference(avatar_sat_refutation,[],[f245,f246,f248,f261,f325,f329]) ).

fof(f329,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f328]) ).

fof(f328,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f327,f260]) ).

fof(f260,plain,
    ( ssItem(sk5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl0_6
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f327,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f326,f244]) ).

fof(f244,plain,
    ( ~ memberP(sk3,sk5)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_3
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f326,plain,
    ( memberP(sk3,sk5)
    | ~ ssItem(sk5)
    | ~ spl0_1 ),
    inference(resolution,[],[f194,f235]) ).

fof(f235,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_1
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | memberP(sk3,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f325,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f323,f236]) ).

fof(f236,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f323,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f322,f260]) ).

fof(f322,plain,
    ( ~ ssItem(sk5)
    | memberP(sk4,sk5)
    | ~ spl0_3 ),
    inference(resolution,[],[f193,f243]) ).

fof(f243,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ memberP(sk3,X6)
      | memberP(sk4,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f261,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f202,f238,f258]) ).

fof(f238,plain,
    ( spl0_2
  <=> duplicatefreeP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f202,plain,
    ( ~ duplicatefreeP(sk3)
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f195,f191]) ).

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

fof(f195,axiom,
    ( ssItem(sk5)
    | ~ duplicatefreeP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f248,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f199,f234,f242,f238]) ).

fof(f199,plain,
    ( memberP(sk4,sk5)
    | memberP(sk3,sk5)
    | ~ duplicatefreeP(sk3) ),
    inference(definition_unfolding,[],[f196,f191,f191,f190]) ).

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

fof(f196,axiom,
    ( ~ duplicatefreeP(sk1)
    | memberP(sk1,sk5)
    | memberP(sk2,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f246,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f192,f238]) ).

fof(f192,axiom,
    duplicatefreeP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f245,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f201,f242,f238,f234]) ).

fof(f201,plain,
    ( ~ memberP(sk3,sk5)
    | ~ duplicatefreeP(sk3)
    | ~ memberP(sk4,sk5) ),
    inference(definition_unfolding,[],[f197,f191,f190,f191]) ).

fof(f197,axiom,
    ( ~ memberP(sk1,sk5)
    | ~ memberP(sk2,sk5)
    | ~ duplicatefreeP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.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
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:13:31 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (32536)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48  % (32544)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (32536)First to succeed.
% 0.19/0.50  % (32536)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (32536)------------------------------
% 0.19/0.50  % (32536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (32536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (32536)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (32536)Memory used [KB]: 5756
% 0.19/0.50  % (32536)Time elapsed: 0.096 s
% 0.19/0.50  % (32536)Instructions burned: 11 (million)
% 0.19/0.50  % (32536)------------------------------
% 0.19/0.50  % (32536)------------------------------
% 0.19/0.50  % (32522)Success in time 0.162 s
%------------------------------------------------------------------------------