TSTP Solution File: SWC116-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC116-1 : 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 : n011.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 18:38:55 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :   87 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   83 (  36   ~;  41   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f512,plain,
    $false,
    inference(avatar_sat_refutation,[],[f263,f264,f275,f285,f286,f287,f508,f511]) ).

fof(f511,plain,
    ( spl0_12
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f510,f272,f236,f282]) ).

fof(f282,plain,
    ( spl0_12
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f236,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f272,plain,
    ( spl0_10
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f510,plain,
    ( nil = sk3
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f509,f237]) ).

fof(f237,plain,
    ( ssList(nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f509,plain,
    ( ~ ssList(nil)
    | nil = sk3
    | spl0_10 ),
    inference(subsumption_resolution,[],[f500,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f500,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_10 ),
    inference(resolution,[],[f100,f273]) ).

fof(f273,plain,
    ( ~ neq(sk3,nil)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f272]) ).

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

fof(f508,plain,
    ( ~ spl0_2
    | spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f507,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f506,f237]) ).

fof(f506,plain,
    ( ~ ssList(nil)
    | spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f505,f189]) ).

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

fof(f505,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f499,f280]) ).

fof(f280,plain,
    ( nil != sk4
    | spl0_11 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl0_11
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f499,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_7 ),
    inference(resolution,[],[f100,f258]) ).

fof(f258,plain,
    ( ~ neq(sk4,nil)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_7
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f287,plain,
    ( spl0_12
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f192,f278,f282]) ).

fof(f192,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f286,plain,
    ( ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f199,f272,f260]) ).

fof(f260,plain,
    ( spl0_8
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f199,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f194,f190,f191,f191]) ).

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

fof(f194,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f285,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f200,f282,f278]) ).

fof(f200,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f193,f190,f191]) ).

fof(f193,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f275,plain,
    ( ~ spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f195,f272,f256]) ).

fof(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f264,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f236]) ).

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

fof(f263,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f196,f260,f256]) ).

fof(f196,axiom,
    ( segmentP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC116-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % 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 : n011.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 18:13:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (21313)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.47  % (21329)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48  % (21313)First to succeed.
% 0.18/0.48  % (21329)Instruction limit reached!
% 0.18/0.48  % (21329)------------------------------
% 0.18/0.48  % (21329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (21329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (21329)Termination reason: Unknown
% 0.18/0.48  % (21329)Termination phase: Equality resolution with deletion
% 0.18/0.48  
% 0.18/0.48  % (21329)Memory used [KB]: 1407
% 0.18/0.48  % (21329)Time elapsed: 0.003 s
% 0.18/0.48  % (21329)Instructions burned: 2 (million)
% 0.18/0.48  % (21329)------------------------------
% 0.18/0.48  % (21329)------------------------------
% 0.18/0.48  % (21313)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (21313)------------------------------
% 0.18/0.48  % (21313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (21313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (21313)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (21313)Memory used [KB]: 6268
% 0.18/0.48  % (21313)Time elapsed: 0.083 s
% 0.18/0.48  % (21313)Instructions burned: 18 (million)
% 0.18/0.48  % (21313)------------------------------
% 0.18/0.48  % (21313)------------------------------
% 0.18/0.48  % (21310)Success in time 0.144 s
%------------------------------------------------------------------------------