TSTP Solution File: SWC179-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC179-1 : 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 18:39:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   43 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  16   ~;  15   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,plain,
    $false,
    inference(avatar_sat_refutation,[],[f303,f327,f335,f351,f353]) ).

fof(f353,plain,
    ~ spl0_20,
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | ~ spl0_20 ),
    inference(resolution,[],[f350,f207]) ).

fof(f207,plain,
    ~ duplicatefreeP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

fof(f192,axiom,
    ~ duplicatefreeP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f350,plain,
    ( duplicatefreeP(sk3)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f348,plain,
    ( spl0_20
  <=> duplicatefreeP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f351,plain,
    ( spl0_20
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f346,f283,f288,f348]) ).

fof(f288,plain,
    ( spl0_11
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f283,plain,
    ( spl0_10
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f346,plain,
    ( ~ ssItem(sk5)
    | duplicatefreeP(sk3)
    | ~ spl0_10 ),
    inference(superposition,[],[f65,f285]) ).

fof(f285,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f65,axiom,
    ! [X0] :
      ( duplicatefreeP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f335,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f334]) ).

fof(f334,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f2,f331]) ).

fof(f331,plain,
    ( ~ duplicatefreeP(nil)
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f207,f259]) ).

fof(f259,plain,
    ( nil = sk3
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_5
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f327,plain,
    ( spl0_5
    | spl0_10 ),
    inference(avatar_split_clause,[],[f203,f283,f257]) ).

fof(f203,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f303,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f194,f288,f257]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC179-1 : 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_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 18:43:06 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.19/0.51  % (29853)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52  % (29853)Instruction limit reached!
% 0.19/0.52  % (29853)------------------------------
% 0.19/0.52  % (29853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29840)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52  % (29845)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (29849)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (29869)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52  % (29858)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (29845)First to succeed.
% 0.19/0.53  % (29845)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (29845)------------------------------
% 0.19/0.53  % (29845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (29845)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (29845)Memory used [KB]: 6140
% 0.19/0.53  % (29845)Time elapsed: 0.123 s
% 0.19/0.53  % (29845)Instructions burned: 7 (million)
% 0.19/0.53  % (29845)------------------------------
% 0.19/0.53  % (29845)------------------------------
% 0.19/0.53  % (29839)Success in time 0.184 s
%------------------------------------------------------------------------------