%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 18:55:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   55 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  25   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214,plain,
    $false,
    inference(avatar_sat_refutation,[],[f130,f156,f212]) ).

fof(f212,plain,
    ~ spl5_6,
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f209,f51]) ).

fof(f51,plain,
    ~ less_than(sF1,n),
    inference(resolution,[],[f10,f39]) ).

fof(f39,plain,
    less_than(n,sF1),
    inference(superposition,[],[f6,f24]) ).

fof(f24,plain,
    successor(n) = sF1,
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ! [X0] : less_than(X0,successor(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_successor) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',anti_symmetry_of_less_than) ).

fof(f209,plain,
    ( less_than(sF1,n)
    | ~ spl5_6 ),
    inference(resolution,[],[f74,f128]) ).

fof(f128,plain,
    ( less_than(sF1,i)
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl5_6
  <=> less_than(sF1,i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f74,plain,
    ! [X6] :
      ( ~ less_than(X6,i)
      | less_than(X6,n) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    less_than(i,n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ less_than(X1,X2)
      | less_than(X0,X2)
      | ~ less_than(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_than) ).

fof(f156,plain,
    ~ spl5_5,
    inference(avatar_contradiction_clause,[],[f155]) ).

fof(f155,plain,
    ( $false
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f135,f15]) ).

fof(f135,plain,
    ( ~ less_than(i,n)
    | ~ spl5_5 ),
    inference(backward_demodulation,[],[f51,f124]) ).

fof(f124,plain,
    ( i = sF1
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl5_5
  <=> i = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f130,plain,
    ( spl5_5
    | spl5_6 ),
    inference(avatar_split_clause,[],[f119,f126,f122]) ).

fof(f119,plain,
    ( less_than(sF1,i)
    | i = sF1 ),
    inference(resolution,[],[f112,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).

fof(f112,plain,
    ~ less_than(i,sF1),
    inference(subsumption_resolution,[],[f111,f30]) ).

fof(f30,plain,
    less_than(sF4,sF0),
    inference(definition_folding,[],[f17,f23,f29]) ).

fof(f29,plain,
    a(i) = sF4,
    introduced(function_definition,[]) ).

fof(f23,plain,
    a(m) = sF0,
    introduced(function_definition,[]) ).

fof(f17,axiom,
    less_than(a(i),a(m)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f111,plain,
    ( ~ less_than(i,sF1)
    | ~ less_than(sF4,sF0) ),
    inference(subsumption_resolution,[],[f110,f9]) ).

fof(f9,axiom,
    ! [X0] : ~ less_than(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_not_less_than_x) ).

fof(f110,plain,
    ( less_than(i,i)
    | ~ less_than(i,sF1)
    | ~ less_than(sF4,sF0) ),
    inference(superposition,[],[f25,f29]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ less_than(a(X0),sF0)
      | less_than(X0,i)
      | ~ less_than(X0,sF1) ),
    inference(definition_folding,[],[f18,f24,f23]) ).

fof(f18,axiom,
    ! [X0] :
      ( less_than(X0,i)
      | ~ less_than(a(X0),a(m))
      | ~ less_than(X0,successor(n)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 18:59:41 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (12386)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.46  % (12386)First to succeed.
% 0.19/0.46  % (12378)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47  % (12386)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (12386)------------------------------
% 0.19/0.47  % (12386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (12386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (12386)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (12386)Memory used [KB]: 5500
% 0.19/0.47  % (12386)Time elapsed: 0.072 s
% 0.19/0.47  % (12386)Instructions burned: 7 (million)
% 0.19/0.47  % (12386)------------------------------
% 0.19/0.47  % (12386)------------------------------
% 0.19/0.47  % (12361)Success in time 0.133 s
%------------------------------------------------------------------------------