%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET153-6 : 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 : n027.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 18:23:58 EDT 2022

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   6 unt;   0 def)
%            Number of atoms       :   51 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  23   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f271,f279,f281]) ).

fof(f281,plain,
    ( ~ spl2_5
    | ~ spl2_9 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_9 ),
    inference(resolution,[],[f270,f258]) ).

fof(f258,plain,
    ( ~ member(regular(sF1),x)
    | ~ spl2_5 ),
    inference(resolution,[],[f243,f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | ~ member(X0,x) ),
    inference(superposition,[],[f24,f180]) ).

fof(f180,plain,
    complement(x) = sF0,
    introduced(function_definition,[]) ).

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

fof(f243,plain,
    ( member(regular(sF1),sF0)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f241,plain,
    ( spl2_5
  <=> member(regular(sF1),sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f270,plain,
    ( member(regular(sF1),x)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl2_9
  <=> member(regular(sF1),x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f279,plain,
    ~ spl2_6,
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl2_6 ),
    inference(trivial_inequality_removal,[],[f272]) ).

fof(f272,plain,
    ( null_class != null_class
    | ~ spl2_6 ),
    inference(superposition,[],[f182,f247]) ).

fof(f247,plain,
    ( null_class = sF1
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl2_6
  <=> null_class = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f182,plain,
    null_class != sF1,
    inference(definition_folding,[],[f113,f181,f180]) ).

fof(f181,plain,
    sF1 = intersection(sF0,x),
    introduced(function_definition,[]) ).

fof(f113,axiom,
    null_class != intersection(complement(x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_with_complement_1) ).

fof(f271,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f265,f245,f268]) ).

fof(f265,plain,
    ( null_class = sF1
    | member(regular(sF1),x) ),
    inference(resolution,[],[f263,f66]) ).

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

fof(f263,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | member(X0,x) ),
    inference(superposition,[],[f22,f181]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f248,plain,
    ( spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f238,f245,f241]) ).

fof(f238,plain,
    ( null_class = sF1
    | member(regular(sF1),sF0) ),
    inference(resolution,[],[f236,f66]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | member(X0,sF0) ),
    inference(superposition,[],[f21,f181]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET153-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30  % Computer : n027.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 30 13:38:16 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.46  % (19776)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)
% 0.15/0.47  % (19785)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47  % (19788)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.48  % (19780)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)
% 0.15/0.49  % (19776)First to succeed.
% 0.15/0.49  % (19771)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49  % (19795)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.50  % (19772)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50  % (19776)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (19776)------------------------------
% 0.15/0.50  % (19776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (19776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (19776)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (19776)Memory used [KB]: 5884
% 0.15/0.50  % (19776)Time elapsed: 0.122 s
% 0.15/0.50  % (19776)Instructions burned: 14 (million)
% 0.15/0.50  % (19776)------------------------------
% 0.15/0.50  % (19776)------------------------------
% 0.15/0.50  % (19764)Success in time 0.192 s
%------------------------------------------------------------------------------