%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET012-4 : 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 : n004.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 18:18:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (   6 unt;   0 def)
%            Number of atoms       :   77 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  26   ~;  42   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1214,plain,
    $false,
    inference(avatar_sat_refutation,[],[f894,f981,f1213]) ).

fof(f1213,plain,
    ( ~ spl0_30
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f1210,f891]) ).

fof(f891,plain,
    ( member(f1(as,cs),as)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f889,plain,
    ( spl0_31
  <=> member(f1(as,cs),as) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1210,plain,
    ( ~ member(f1(as,cs),as)
    | ~ spl0_30 ),
    inference(resolution,[],[f887,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ member(X0,bs)
      | ~ member(X0,as) ),
    inference(superposition,[],[f5,f9]) ).

fof(f9,axiom,
    complement(as) = bs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_is_b) ).

fof(f5,axiom,
    ! [X2,X0] :
      ( ~ member(X2,complement(X0))
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f887,plain,
    ( member(f1(as,cs),bs)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_30
  <=> member(f1(as,cs),bs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f981,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f980,f889,f885]) ).

fof(f980,plain,
    ( member(f1(as,cs),bs)
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f978,f11]) ).

fof(f11,axiom,
    as != cs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c) ).

fof(f978,plain,
    ( as = cs
    | member(f1(as,cs),bs)
    | ~ spl0_31 ),
    inference(resolution,[],[f891,f45]) ).

fof(f45,plain,
    ! [X2] :
      ( ~ member(f1(X2,cs),X2)
      | cs = X2
      | member(f1(X2,cs),bs) ),
    inference(subsumption_resolution,[],[f44,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( little_set(f1(X0,X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).

fof(f44,plain,
    ! [X2] :
      ( member(f1(X2,cs),bs)
      | ~ member(f1(X2,cs),X2)
      | cs = X2
      | ~ little_set(f1(X2,cs)) ),
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ member(f1(X0,X1),X1)
      | X0 = X1
      | ~ member(f1(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).

fof(f18,plain,
    ! [X1] :
      ( member(X1,cs)
      | ~ little_set(X1)
      | member(X1,bs) ),
    inference(superposition,[],[f6,f10]) ).

fof(f10,axiom,
    complement(bs) = cs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_b_is_c) ).

fof(f6,axiom,
    ! [X2,X0] :
      ( member(X2,complement(X0))
      | ~ little_set(X2)
      | member(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f894,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f893,f889]) ).

fof(f893,plain,
    member(f1(as,cs),as),
    inference(subsumption_resolution,[],[f876,f11]) ).

fof(f876,plain,
    ( member(f1(as,cs),as)
    | as = cs ),
    inference(factoring,[],[f335]) ).

fof(f335,plain,
    ! [X5] :
      ( member(f1(X5,cs),as)
      | member(f1(X5,cs),X5)
      | cs = X5 ),
    inference(forward_demodulation,[],[f334,f10]) ).

fof(f334,plain,
    ! [X5] :
      ( member(f1(X5,cs),X5)
      | member(f1(X5,cs),as)
      | complement(bs) = X5 ),
    inference(forward_demodulation,[],[f333,f10]) ).

fof(f333,plain,
    ! [X5] :
      ( member(f1(X5,complement(bs)),as)
      | complement(bs) = X5
      | member(f1(X5,cs),X5) ),
    inference(forward_demodulation,[],[f332,f10]) ).

fof(f332,plain,
    ! [X5] :
      ( member(f1(X5,complement(bs)),X5)
      | complement(bs) = X5
      | member(f1(X5,complement(bs)),as) ),
    inference(subsumption_resolution,[],[f327,f2]) ).

fof(f327,plain,
    ! [X5] :
      ( ~ little_set(f1(X5,complement(bs)))
      | member(f1(X5,complement(bs)),as)
      | member(f1(X5,complement(bs)),X5)
      | complement(bs) = X5 ),
    inference(resolution,[],[f17,f20]) ).

fof(f20,plain,
    ! [X2,X3] :
      ( ~ member(f1(X2,complement(X3)),X3)
      | member(f1(X2,complement(X3)),X2)
      | complement(X3) = X2 ),
    inference(resolution,[],[f3,f5]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( member(f1(X0,X1),X1)
      | member(f1(X0,X1),X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).

fof(f17,plain,
    ! [X0] :
      ( member(X0,bs)
      | ~ little_set(X0)
      | member(X0,as) ),
    inference(superposition,[],[f6,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % 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 : n004.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 12:48:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.42  % (28198)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.43  % (28198)Instruction limit reached!
% 0.20/0.43  % (28198)------------------------------
% 0.20/0.43  % (28198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44  % (28190)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.44  % (28198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44  % (28198)Termination reason: Unknown
% 0.20/0.44  % (28198)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (28198)Memory used [KB]: 5884
% 0.20/0.44  % (28198)Time elapsed: 0.059 s
% 0.20/0.44  % (28198)Instructions burned: 4 (million)
% 0.20/0.44  % (28198)------------------------------
% 0.20/0.44  % (28198)------------------------------
% 0.20/0.45  % (28207)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.45  % (28207)Instruction limit reached!
% 0.20/0.45  % (28207)------------------------------
% 0.20/0.45  % (28207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (28207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (28207)Termination reason: Unknown
% 0.20/0.45  % (28207)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (28207)Memory used [KB]: 1279
% 0.20/0.45  % (28207)Time elapsed: 0.003 s
% 0.20/0.45  % (28207)Instructions burned: 2 (million)
% 0.20/0.45  % (28207)------------------------------
% 0.20/0.45  % (28207)------------------------------
% 0.20/0.46  % (28190)First to succeed.
% 0.20/0.47  % (28194)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.47  % (28190)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47  % (28190)------------------------------
% 0.20/0.47  % (28190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (28190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (28190)Termination reason: Refutation
% 0.20/0.47  
% 0.20/0.47  % (28190)Memory used [KB]: 6268
% 0.20/0.47  % (28190)Time elapsed: 0.090 s
% 0.20/0.47  % (28190)Instructions burned: 37 (million)
% 0.20/0.47  % (28190)------------------------------
% 0.20/0.47  % (28190)------------------------------
% 0.20/0.47  % (28187)Success in time 0.118 s
%------------------------------------------------------------------------------