%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC050-1 : 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 : n021.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 18:38:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (   5 unt;   0 def)
%            Number of atoms       :   91 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  114 (  57   ~;  51   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f513,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f270,f285,f294,f302,f309,f512]) ).

fof(f512,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f511]) ).

fof(f511,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f510,f256]) ).

fof(f256,plain,
    ( rearsegP(sk3,sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_3
  <=> rearsegP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f510,plain,
    ( ~ rearsegP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f509,f293]) ).

fof(f293,plain,
    ( ssList(sk5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_11
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f509,plain,
    ( ~ ssList(sk5)
    | ~ rearsegP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f494,f308]) ).

fof(f308,plain,
    ( rearsegP(sk4,sk5)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl0_13
  <=> rearsegP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f494,plain,
    ( ~ rearsegP(sk4,sk5)
    | ~ ssList(sk5)
    | ~ rearsegP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f251,f269]) ).

fof(f269,plain,
    ( neq(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_6
  <=> neq(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f251,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ rearsegP(sk4,X6)
        | ~ rearsegP(sk3,X6)
        | ~ ssList(X6) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_2
  <=> ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ rearsegP(sk3,X6)
        | ~ rearsegP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f309,plain,
    ( ~ spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f202,f306,f246]) ).

fof(f246,plain,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f202,axiom,
    ( rearsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f302,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f209,f250,f246]) ).

fof(f209,plain,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ rearsegP(sk3,X6)
      | ~ rearsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

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

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

fof(f199,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ neq(sk4,nil)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk1,X6)
      | ~ rearsegP(sk2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f294,plain,
    ( ~ spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f200,f291,f246]) ).

fof(f200,axiom,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f285,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f240,f246]) ).

fof(f240,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

fof(f270,plain,
    ( spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f201,f246,f267]) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f257,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f254,f246]) ).

fof(f203,axiom,
    ( rearsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC050-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 17:58:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (13399)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)
% 0.19/0.49  % (13383)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50  % (13383)First to succeed.
% 0.19/0.50  % (13399)Instruction limit reached!
% 0.19/0.50  % (13399)------------------------------
% 0.19/0.50  % (13399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (13383)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (13383)------------------------------
% 0.19/0.50  % (13383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (13383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (13383)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (13383)Memory used [KB]: 6268
% 0.19/0.50  % (13383)Time elapsed: 0.097 s
% 0.19/0.50  % (13383)Instructions burned: 18 (million)
% 0.19/0.50  % (13383)------------------------------
% 0.19/0.50  % (13383)------------------------------
% 0.19/0.50  % (13382)Success in time 0.16 s
%------------------------------------------------------------------------------