%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN301-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n022.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 19:26:07 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  27   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f453,plain,
    $false,
    inference(avatar_sat_refutation,[],[f380,f382,f452]) ).

fof(f452,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f451]) ).

fof(f451,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f450,f376]) ).

fof(f376,plain,
    ( ! [X0,X1] : ~ p3(X0,a,X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl0_1
  <=> ! [X0,X1] : ~ p3(X0,a,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f450,plain,
    p3(a,a,a),
    inference(subsumption_resolution,[],[f447,f384]) ).

fof(f384,plain,
    k1(a),
    inference(resolution,[],[f37,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f447,plain,
    ( ~ k1(a)
    | p3(a,a,a) ),
    inference(resolution,[],[f428,f287]) ).

fof(f287,axiom,
    ! [X5] :
      ( ~ k1(X5)
      | ~ n2(X5)
      | p3(X5,X5,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_249) ).

fof(f428,plain,
    n2(a),
    inference(resolution,[],[f394,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( n2(X10)
      | ~ p1(X11,X6,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).

fof(f394,plain,
    p1(a,b,a),
    inference(subsumption_resolution,[],[f393,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f393,plain,
    ( ~ r0(b)
    | p1(a,b,a) ),
    inference(subsumption_resolution,[],[f125,f387]) ).

fof(f387,plain,
    p1(a,a,a),
    inference(resolution,[],[f37,f104]) ).

fof(f104,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | p1(X4,X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).

fof(f125,axiom,
    ( ~ r0(b)
    | ~ p1(a,a,a)
    | p1(a,b,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_087) ).

fof(f382,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f37,f379]) ).

fof(f379,plain,
    ( ! [X2] : ~ n0(X2,a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl0_2
  <=> ! [X2] : ~ n0(X2,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f380,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f371,f378,f375]) ).

fof(f371,plain,
    ! [X2,X0,X1] :
      ( ~ n0(X2,a)
      | ~ p3(X0,a,X1) ),
    inference(resolution,[],[f370,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ~ l1(a,X1)
      | ~ p3(X0,X1,X2) ),
    inference(resolution,[],[f369,f337]) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( s4(X10)
      | ~ p3(X11,X6,X7)
      | ~ l1(X10,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).

fof(f369,axiom,
    ~ s4(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN301-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.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 21:42:25 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.44  % (1496)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)
% 0.20/0.45  % (1480)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)
% 0.20/0.45  % (1480)Refutation not found, incomplete strategy% (1480)------------------------------
% 0.20/0.45  % (1480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (1480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (1480)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45  
% 0.20/0.45  % (1480)Memory used [KB]: 6140
% 0.20/0.45  % (1480)Time elapsed: 0.004 s
% 0.20/0.45  % (1480)Instructions burned: 2 (million)
% 0.20/0.45  % (1480)------------------------------
% 0.20/0.45  % (1480)------------------------------
% 0.20/0.46  % (1496)First to succeed.
% 0.20/0.46  % (1496)Refutation found. Thanks to Tanya!
% 0.20/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46  % (1496)------------------------------
% 0.20/0.46  % (1496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46  % (1496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46  % (1496)Termination reason: Refutation
% 0.20/0.46  
% 0.20/0.46  % (1496)Memory used [KB]: 6652
% 0.20/0.46  % (1496)Time elapsed: 0.056 s
% 0.20/0.46  % (1496)Instructions burned: 10 (million)
% 0.20/0.46  % (1496)------------------------------
% 0.20/0.46  % (1496)------------------------------
% 0.20/0.46  % (1471)Success in time 0.119 s
%------------------------------------------------------------------------------