TSTP Solution File: SWC044-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC044-1 : 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 : n003.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 18:38:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   35 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f373,plain,
    $false,
    inference(avatar_sat_refutation,[],[f337,f339,f371]) ).

fof(f371,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f369]) ).

fof(f369,plain,
    ( sk3 != sk3
    | ~ spl0_11 ),
    inference(superposition,[],[f204,f336]) ).

fof(f336,plain,
    ( sk3 = sk4
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f334,plain,
    ( spl0_11
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f204,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f194,f195,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f195,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

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

fof(f194,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f339,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f332,f188]) ).

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

fof(f332,plain,
    ( ~ ssList(sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f330,plain,
    ( spl0_10
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f337,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f325,f334,f330]) ).

fof(f325,plain,
    ( sk3 = sk4
    | ~ ssList(sk3) ),
    inference(resolution,[],[f205,f193]) ).

fof(f193,axiom,
    rearsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f205,plain,
    ! [X0] :
      ( ~ rearsegP(sk4,X0)
      | ~ ssList(X0)
      | sk4 = X0 ),
    inference(definition_unfolding,[],[f82,f195,f195]) ).

fof(f82,axiom,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ rearsegP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:13:07 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (25713)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (25733)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (25713)First to succeed.
% 0.19/0.51  % (25734)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (25724)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (25722)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)
% 0.19/0.51  % (25713)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (25713)------------------------------
% 0.19/0.51  % (25713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (25713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25713)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (25713)Memory used [KB]: 6140
% 0.19/0.51  % (25713)Time elapsed: 0.100 s
% 0.19/0.51  % (25713)Instructions burned: 7 (million)
% 0.19/0.51  % (25713)------------------------------
% 0.19/0.51  % (25713)------------------------------
% 0.19/0.51  % (25703)Success in time 0.161 s
%------------------------------------------------------------------------------