%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP136-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n017.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 16:14:33 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   33 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  14   ~;  13   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f28,f33,f39]) ).

fof(f39,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f36]) ).

fof(f36,plain,
    ( a != a
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f22,f34]) ).

fof(f34,plain,
    ( a = b
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f32,f27]) ).

fof(f27,plain,
    ( b = least_upper_bound(a,b)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_2
  <=> b = least_upper_bound(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32,plain,
    ( a = least_upper_bound(a,b)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_3
  <=> a = least_upper_bound(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f22,plain,
    ( a != b
    | spl0_1 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_1
  <=> a = b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f33,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f17,f30]) ).

fof(f17,axiom,
    a = least_upper_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisyma_2) ).

fof(f28,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f16,f25]) ).

fof(f16,axiom,
    b = least_upper_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisyma_1) ).

fof(f23,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f18,f20]) ).

fof(f18,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_antisyma) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP136-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 21:40:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (2428)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.21/0.50  % (2428)First to succeed.
% 0.21/0.50  % (2428)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (2428)------------------------------
% 0.21/0.50  % (2428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2428)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (2428)Memory used [KB]: 5500
% 0.21/0.50  % (2428)Time elapsed: 0.096 s
% 0.21/0.50  % (2428)Instructions burned: 1 (million)
% 0.21/0.50  % (2428)------------------------------
% 0.21/0.50  % (2428)------------------------------
% 0.21/0.50  % (2415)Success in time 0.153 s
%------------------------------------------------------------------------------