TSTP Solution File: SET168-6 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 May  1 03:45:32 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   43 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  20   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(avatar_sat_refutation,[],[f132,f140,f147]) ).

fof(f147,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f146,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f145,f113]) ).

fof(f113,axiom,
    member(x,z),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',prove_members_of_union3_1) ).

fof(f145,plain,
    ( ~ member(x,z)
    | ~ spl0_2 ),
    inference(resolution,[],[f142,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',complement1) ).

fof(f142,plain,
    ( member(x,complement(z))
    | ~ spl0_2 ),
    inference(resolution,[],[f131,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',intersection2) ).

fof(f131,plain,
    ( member(x,intersection(complement(y),complement(z)))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl0_2
  <=> member(x,intersection(complement(y),complement(z))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f140,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f134,f113]) ).

fof(f134,plain,
    ( ! [X0] : ~ member(x,X0)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f133,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',class_elements_are_sets) ).

fof(f133,plain,
    ( ! [X0] :
        ( ~ member(x,X0)
        | ~ subclass(X0,universal_class) )
    | spl0_1 ),
    inference(resolution,[],[f127,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',subclass_members) ).

fof(f127,plain,
    ( ~ member(x,universal_class)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_1
  <=> member(x,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f132,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f122,f129,f125]) ).

fof(f122,plain,
    ( member(x,intersection(complement(y),complement(z)))
    | ~ member(x,universal_class) ),
    inference(resolution,[],[f116,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',complement2) ).

fof(f116,plain,
    ~ member(x,complement(intersection(complement(y),complement(z)))),
    inference(definition_unfolding,[],[f114,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',union) ).

fof(f114,axiom,
    ~ member(x,union(y,z)),
    file('/export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245',prove_members_of_union3_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SET168-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:18:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.gtovm5AjgZ/Vampire---4.8_11245
% 0.57/0.75  % (11461)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (11463)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.76  % (11463)Refutation not found, incomplete strategy% (11463)------------------------------
% 0.57/0.76  % (11463)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (11463)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11463)Memory used [KB]: 1086
% 0.57/0.76  % (11463)Time elapsed: 0.002 s
% 0.57/0.76  % (11463)Instructions burned: 2 (million)
% 0.57/0.76  % (11463)------------------------------
% 0.57/0.76  % (11463)------------------------------
% 0.57/0.76  % (11455)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.76  % (11458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (11459)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.76  % (11456)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.76  % (11460)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.76  % (11461)First to succeed.
% 0.57/0.76  % (11462)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.76  % (11461)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (11461)------------------------------
% 0.57/0.76  % (11461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (11461)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (11461)Memory used [KB]: 1106
% 0.57/0.76  % (11461)Time elapsed: 0.003 s
% 0.57/0.76  % (11461)Instructions burned: 4 (million)
% 0.57/0.76  % (11461)------------------------------
% 0.57/0.76  % (11461)------------------------------
% 0.57/0.76  % (11422)Success in time 0.383 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------