%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MSC005-1 : 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_uns --cores 0 -t %d %s

% Computer : n007.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 17:51:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  21   ~;  16   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f54]) ).

fof(f54,plain,
    ~ spl0_3,
    inference(avatar_split_clause,[],[f53,f28]) ).

fof(f28,plain,
    ( spl0_3
  <=> value(xor(xor(truth,falsity),falsity),truth) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f53,plain,
    ~ value(xor(xor(truth,falsity),falsity),truth),
    inference(subsumption_resolution,[],[f40,f1]) ).

fof(f1,axiom,
    value(truth,truth),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).

fof(f40,plain,
    ( ~ value(truth,truth)
    | ~ value(xor(xor(truth,falsity),falsity),truth) ),
    inference(resolution,[],[f23,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( value(xor(X0,X1),falsity)
      | ~ value(X0,truth)
      | ~ value(X1,truth) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).

fof(f23,plain,
    ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
    inference(subsumption_resolution,[],[f22,f2]) ).

fof(f2,axiom,
    value(falsity,falsity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).

fof(f22,plain,
    ( ~ value(falsity,falsity)
    | ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity) ),
    inference(resolution,[],[f6,f7]) ).

fof(f7,axiom,
    ! [X2] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( value(xor(X0,X1),falsity)
      | ~ value(X1,falsity)
      | ~ value(X0,falsity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).

fof(f52,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f50,f1]) ).

fof(f50,plain,
    ( ~ value(truth,truth)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f49,f2]) ).

fof(f49,plain,
    ( ~ value(falsity,falsity)
    | ~ value(truth,truth)
    | spl0_3 ),
    inference(resolution,[],[f43,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( value(xor(X0,X1),truth)
      | ~ value(X1,falsity)
      | ~ value(X0,truth) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).

fof(f43,plain,
    ( ~ value(xor(truth,falsity),truth)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f42,f2]) ).

fof(f42,plain,
    ( ~ value(falsity,falsity)
    | ~ value(xor(truth,falsity),truth)
    | spl0_3 ),
    inference(resolution,[],[f30,f4]) ).

fof(f30,plain,
    ( ~ value(xor(xor(truth,falsity),falsity),truth)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:11:45 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.47  % (13600)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.47  % (13600)First to succeed.
% 0.19/0.47  % (13600)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  % (13600)------------------------------
% 0.19/0.47  % (13600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (13600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (13600)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (13600)Memory used [KB]: 5756
% 0.19/0.47  % (13600)Time elapsed: 0.072 s
% 0.19/0.47  % (13600)Instructions burned: 1 (million)
% 0.19/0.47  % (13600)------------------------------
% 0.19/0.47  % (13600)------------------------------
% 0.19/0.47  % (13585)Success in time 0.125 s
%------------------------------------------------------------------------------