TSTP Solution File: SWC209-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC209-1 : 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 : n010.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 18:39:36 EDT 2022

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   28 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   6   ~;   6   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f241,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f234,f239,f240]) ).

fof(f240,plain,
    ( nil != sk4
    | neq(nil,nil)
    | ~ neq(sk4,nil) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f239,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f212,f231,f236]) ).

fof(f236,plain,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f231,plain,
    ( spl0_4
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f212,plain,
    ( neq(nil,nil)
    | nil = sk4 ),
    inference(backward_demodulation,[],[f194,f209]) ).

fof(f209,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f196,f199]) ).

fof(f199,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

fof(f194,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f234,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f210,f231]) ).

fof(f210,plain,
    ~ neq(nil,nil),
    inference(backward_demodulation,[],[f199,f209]) ).

fof(f224,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f201,f221]) ).

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

fof(f201,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC209-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n010.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:27:14 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  % (21803)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.15/0.42  % (21803)First to succeed.
% 0.15/0.42  % (21782)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)
% 0.15/0.42  % (21803)Refutation found. Thanks to Tanya!
% 0.15/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42  % (21803)------------------------------
% 0.15/0.42  % (21803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.42  % (21803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.42  % (21803)Termination reason: Refutation
% 0.15/0.42  
% 0.15/0.42  % (21803)Memory used [KB]: 6012
% 0.15/0.42  % (21803)Time elapsed: 0.062 s
% 0.15/0.42  % (21803)Instructions burned: 4 (million)
% 0.15/0.42  % (21803)------------------------------
% 0.15/0.42  % (21803)------------------------------
% 0.15/0.42  % (21777)Success in time 0.112 s
%------------------------------------------------------------------------------