%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET062-6 : 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 : n002.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 18:23:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   51 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  19   ~;  23   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f942,plain,
    $false,
    inference(avatar_sat_refutation,[],[f933,f935,f941]) ).

fof(f941,plain,
    ~ spl0_65,
    inference(avatar_contradiction_clause,[],[f936]) ).

fof(f936,plain,
    ( $false
    | ~ spl0_65 ),
    inference(resolution,[],[f928,f92]) ).

fof(f92,axiom,
    ~ subclass(null_class,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).

fof(f928,plain,
    ( ! [X4] : subclass(null_class,X4)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_65
  <=> ! [X4] : subclass(null_class,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f935,plain,
    spl0_66,
    inference(avatar_contradiction_clause,[],[f934]) ).

fof(f934,plain,
    ( $false
    | spl0_66 ),
    inference(resolution,[],[f932,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f932,plain,
    ( ~ subclass(null_class,universal_class)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f930,plain,
    ( spl0_66
  <=> subclass(null_class,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f933,plain,
    ( spl0_65
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f922,f930,f927]) ).

fof(f922,plain,
    ! [X4] :
      ( ~ subclass(null_class,universal_class)
      | subclass(null_class,X4) ),
    inference(duplicate_literal_removal,[],[f912]) ).

fof(f912,plain,
    ! [X4] :
      ( ~ subclass(null_class,universal_class)
      | subclass(null_class,X4)
      | subclass(null_class,X4) ),
    inference(resolution,[],[f159,f435]) ).

fof(f435,plain,
    ! [X2] :
      ( ~ member(not_subclass_element(null_class,X2),universal_class)
      | subclass(null_class,X2) ),
    inference(superposition,[],[f146,f419]) ).

fof(f419,plain,
    null_class = complement(universal_class),
    inference(resolution,[],[f417,f4]) ).

fof(f417,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(duplicate_literal_removal,[],[f409]) ).

fof(f409,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class
      | complement(X0) = null_class ),
    inference(resolution,[],[f158,f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f158,plain,
    ! [X6,X7] :
      ( member(regular(X6),X7)
      | null_class = X6
      | ~ subclass(X6,X7) ),
    inference(resolution,[],[f1,f66]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(complement(X0),X1),X0)
      | subclass(complement(X0),X1) ),
    inference(resolution,[],[f2,f24]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f159,plain,
    ! [X10,X8,X9] :
      ( member(not_subclass_element(X8,X9),X10)
      | subclass(X8,X9)
      | ~ subclass(X8,X10) ),
    inference(resolution,[],[f1,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SET062-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:17:29 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (14406)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)
% 0.19/0.47  % (14413)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48  % (14421)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (14406)First to succeed.
% 0.19/0.50  % (14414)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (14406)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (14406)------------------------------
% 0.19/0.50  % (14406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (14406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (14406)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (14406)Memory used [KB]: 6140
% 0.19/0.50  % (14406)Time elapsed: 0.096 s
% 0.19/0.50  % (14406)Instructions burned: 27 (million)
% 0.19/0.50  % (14406)------------------------------
% 0.19/0.50  % (14406)------------------------------
% 0.19/0.50  % (14402)Success in time 0.156 s
%------------------------------------------------------------------------------