TSTP Solution File: SWC047-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC047-1 : 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 : n001.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 18:38:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   82 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  102 (  52   ~;  47   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f372,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f258,f270,f276,f371]) ).

fof(f371,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f370]) ).

fof(f370,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f369,f200]) ).

fof(f200,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f369,plain,
    ( ~ ssList(sk4)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f368,f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f368,plain,
    ( ~ rearsegP(sk4,sk4)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f367,f200]) ).

fof(f367,plain,
    ( ~ rearsegP(sk4,sk4)
    | ~ ssList(sk4)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f252,f269]) ).

fof(f269,plain,
    ( neq(sk4,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_8
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f252,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ rearsegP(sk4,X6)
        | ~ ssList(X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ~ neq(X6,nil)
        | ~ rearsegP(sk4,X6)
        | ~ ssList(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f276,plain,
    ( ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f202,f267,f247]) ).

fof(f247,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f202,plain,
    ( neq(sk4,nil)
    | nil != sk4 ),
    inference(definition_unfolding,[],[f195,f190,f197]) ).

fof(f197,plain,
    sk1 = sk4,
    inference(definition_unfolding,[],[f191,f192]) ).

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

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

fof(f195,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f270,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f199,f247,f267]) ).

fof(f199,plain,
    ( nil = sk4
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f193,f190,f190]) ).

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

fof(f258,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f232,f251,f247]) ).

fof(f232,plain,
    ! [X6] :
      ( ~ rearsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X6] :
      ( ~ rearsegP(sk4,X6)
      | ~ neq(X6,nil)
      | nil = sk4
      | ~ rearsegP(sk4,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f194,f190,f197,f190]) ).

fof(f194,axiom,
    ! [X6] :
      ( nil = sk2
      | ~ rearsegP(sk1,X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk2,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f253,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f233,f251,f247]) ).

fof(f233,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | nil != sk4
      | ~ ssList(X6)
      | ~ rearsegP(sk4,X6) ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | nil != sk4
      | ~ rearsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk4,X6) ),
    inference(definition_unfolding,[],[f196,f190,f197,f197]) ).

fof(f196,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ rearsegP(sk2,X6)
      | nil != sk1
      | ~ rearsegP(sk1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC047-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:20:47 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (27954)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (27961)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (27954)First to succeed.
% 0.19/0.52  % (27969)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)
% 0.19/0.53  % (27958)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)
% 0.19/0.53  % (27954)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  % (27954)------------------------------
% 0.19/0.53  % (27954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (27954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (27954)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (27954)Memory used [KB]: 6268
% 0.19/0.53  % (27954)Time elapsed: 0.116 s
% 0.19/0.53  % (27954)Instructions burned: 13 (million)
% 0.19/0.53  % (27954)------------------------------
% 0.19/0.53  % (27954)------------------------------
% 0.19/0.53  % (27953)Success in time 0.182 s
%------------------------------------------------------------------------------