%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 18:23:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   27 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  11   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f328,plain,
    $false,
    inference(avatar_sat_refutation,[],[f311,f322,f327]) ).

fof(f327,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f324]) ).

fof(f324,plain,
    ( null_class != null_class
    | ~ spl0_18 ),
    inference(superposition,[],[f106,f310]) ).

fof(f310,plain,
    ( null_class = x
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_18
  <=> null_class = x ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f106,axiom,
    null_class != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).

fof(f322,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f306,f104]) ).

fof(f104,axiom,
    ! [X0] : subclass(null_class,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).

fof(f306,plain,
    ( ~ subclass(null_class,x)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl0_17
  <=> subclass(null_class,x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f311,plain,
    ( ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f293,f308,f304]) ).

fof(f293,plain,
    ( null_class = x
    | ~ subclass(null_class,x) ),
    inference(resolution,[],[f7,f105]) ).

fof(f105,axiom,
    subclass(x,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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 12:29:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (5424)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (5449)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (5424)First to succeed.
% 0.20/0.50  % (5431)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (5423)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (5428)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (5424)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (5424)------------------------------
% 0.20/0.51  % (5424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5424)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (5424)Memory used [KB]: 5756
% 0.20/0.51  % (5424)Time elapsed: 0.094 s
% 0.20/0.51  % (5424)Instructions burned: 9 (million)
% 0.20/0.51  % (5424)------------------------------
% 0.20/0.51  % (5424)------------------------------
% 0.20/0.51  % (5416)Success in time 0.161 s
%------------------------------------------------------------------------------