%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC258-1 : 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 : n023.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 18:39:56 EDT 2022

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   59 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  26   ~;  26   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f348,plain,
    $false,
    inference(avatar_sat_refutation,[],[f283,f284,f289,f322,f338]) ).

fof(f338,plain,
    ~ spl1_10,
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f337,plain,
    ( $false
    | ~ spl1_10 ),
    inference(subsumption_resolution,[],[f331,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f331,plain,
    ( ~ totalorderedP(nil)
    | ~ spl1_10 ),
    inference(backward_demodulation,[],[f202,f282]) ).

fof(f282,plain,
    ( nil = sk3
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl1_10
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).

fof(f202,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

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

fof(f322,plain,
    ( ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f320,f202]) ).

fof(f320,plain,
    ( totalorderedP(sk3)
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(subsumption_resolution,[],[f319,f272]) ).

fof(f272,plain,
    ( ssItem(sk5)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl1_8
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f319,plain,
    ( totalorderedP(sk3)
    | ~ ssItem(sk5)
    | ~ spl1_3
    | ~ spl1_9 ),
    inference(superposition,[],[f249,f306]) ).

fof(f306,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl1_9 ),
    inference(backward_demodulation,[],[f228,f277]) ).

fof(f277,plain,
    ( sk3 = sF0
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl1_9
  <=> sk3 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

fof(f228,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f249,plain,
    ( ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl1_3
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | totalorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f289,plain,
    ( spl1_10
    | spl1_9 ),
    inference(avatar_split_clause,[],[f230,f275,f280]) ).

fof(f230,plain,
    ( sk3 = sF0
    | nil = sk3 ),
    inference(definition_folding,[],[f198,f228]) ).

fof(f198,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f284,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f67,f248]) ).

fof(f67,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f283,plain,
    ( spl1_10
    | spl1_8 ),
    inference(avatar_split_clause,[],[f194,f270,f280]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC258-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 19:00:35 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.46  % (28768)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.17/0.47  % (28778)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.47  % (28778)Instruction limit reached!
% 0.17/0.47  % (28778)------------------------------
% 0.17/0.47  % (28778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47  % (28782)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.17/0.48  % (28794)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.17/0.48  % (28768)First to succeed.
% 0.17/0.48  % (28778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (28778)Termination reason: Unknown
% 0.17/0.48  % (28778)Termination phase: shuffling
% 0.17/0.48  
% 0.17/0.48  % (28778)Memory used [KB]: 1535
% 0.17/0.48  % (28778)Time elapsed: 0.005 s
% 0.17/0.48  % (28778)Instructions burned: 6 (million)
% 0.17/0.48  % (28778)------------------------------
% 0.17/0.48  % (28778)------------------------------
% 0.17/0.48  % (28782)Also succeeded, but the first one will report.
% 0.17/0.48  % (28791)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)
% 0.17/0.48  % (28768)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (28768)------------------------------
% 0.17/0.48  % (28768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (28768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (28768)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (28768)Memory used [KB]: 6140
% 0.17/0.48  % (28768)Time elapsed: 0.121 s
% 0.17/0.48  % (28768)Instructions burned: 11 (million)
% 0.17/0.48  % (28768)------------------------------
% 0.17/0.48  % (28768)------------------------------
% 0.17/0.48  % (28767)Success in time 0.157 s
%------------------------------------------------------------------------------