TSTP Solution File: SET927+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 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 03:49:32 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (   3 unt;   0 def)
%            Number of atoms       :   82 (  32 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  34   ~;  37   |;   4   &)
%                                         (   6 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f37,f39,f47,f58]) ).

fof(f58,plain,
    ( spl3_1
    | ~ spl3_3 ),
    inference(avatar_contradiction_clause,[],[f57]) ).

fof(f57,plain,
    ( $false
    | spl3_1
    | ~ spl3_3 ),
    inference(subsumption_resolution,[],[f52,f26]) ).

fof(f26,plain,
    ( set_difference(unordered_pair(sK0,sK1),sK2) != singleton(sK0)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl3_1
  <=> set_difference(unordered_pair(sK0,sK1),sK2) = singleton(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f52,plain,
    ( set_difference(unordered_pair(sK0,sK1),sK2) = singleton(sK0)
    | ~ spl3_3 ),
    inference(unit_resulting_resolution,[],[f21,f35,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ in(X1,X2)
      | in(X0,X2)
      | set_difference(unordered_pair(X0,X1),X2) = singleton(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
    <=> ( ( X0 = X1
          | in(X1,X2) )
        & ~ in(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ADZhjdPtab/Vampire---4.8_10065',l39_zfmisc_1) ).

fof(f35,plain,
    ( in(sK1,sK2)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl3_3
  <=> in(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f21,plain,
    ~ in(sK0,sK2),
    inference(subsumption_resolution,[],[f13,f17]) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X2)
      | set_difference(unordered_pair(X0,X1),X2) != singleton(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    ( ~ in(sK0,sK2)
    | set_difference(unordered_pair(sK0,sK1),sK2) = singleton(sK0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ? [X0,X1,X2] :
      ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
    <~> ( ( X0 = X1
          | in(X1,X2) )
        & ~ in(X0,X2) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
      <=> ( ( X0 = X1
            | in(X1,X2) )
          & ~ in(X0,X2) ) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X0,X1,X2] :
      ( set_difference(unordered_pair(X0,X1),X2) = singleton(X0)
    <=> ( ( X0 = X1
          | in(X1,X2) )
        & ~ in(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ADZhjdPtab/Vampire---4.8_10065',t70_zfmisc_1) ).

fof(f47,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_contradiction_clause,[],[f46]) ).

fof(f46,plain,
    ( $false
    | spl3_1
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f42,f40]) ).

fof(f40,plain,
    ( singleton(sK0) != set_difference(unordered_pair(sK0,sK0),sK2)
    | spl3_1
    | ~ spl3_2 ),
    inference(forward_demodulation,[],[f26,f29]) ).

fof(f29,plain,
    ( sK0 = sK1
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl3_2
  <=> sK0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f42,plain,
    singleton(sK0) = set_difference(unordered_pair(sK0,sK0),sK2),
    inference(resolution,[],[f21,f20]) ).

fof(f20,plain,
    ! [X2,X1] :
      ( in(X1,X2)
      | set_difference(unordered_pair(X1,X1),X2) = singleton(X1) ),
    inference(equality_resolution,[],[f15]) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( in(X0,X2)
      | X0 != X1
      | set_difference(unordered_pair(X0,X1),X2) = singleton(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f39,plain,
    ( spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f38,f34,f28]) ).

fof(f38,plain,
    ( in(sK1,sK2)
    | sK0 = sK1 ),
    inference(subsumption_resolution,[],[f10,f16]) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( in(X1,X2)
      | X0 = X1
      | set_difference(unordered_pair(X0,X1),X2) != singleton(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ( in(sK1,sK2)
    | sK0 = sK1
    | set_difference(unordered_pair(sK0,sK1),sK2) = singleton(sK0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f37,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f32,f34,f24]) ).

fof(f32,plain,
    ( ~ in(sK1,sK2)
    | set_difference(unordered_pair(sK0,sK1),sK2) != singleton(sK0) ),
    inference(subsumption_resolution,[],[f11,f21]) ).

fof(f11,plain,
    ( in(sK0,sK2)
    | ~ in(sK1,sK2)
    | set_difference(unordered_pair(sK0,sK1),sK2) != singleton(sK0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f31,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f22,f28,f24]) ).

fof(f22,plain,
    ( sK0 != sK1
    | set_difference(unordered_pair(sK0,sK1),sK2) != singleton(sK0) ),
    inference(subsumption_resolution,[],[f12,f21]) ).

fof(f12,plain,
    ( in(sK0,sK2)
    | sK0 != sK1
    | set_difference(unordered_pair(sK0,sK1),sK2) != singleton(sK0) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % 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
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 17:26:03 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  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.ADZhjdPtab/Vampire---4.8_10065
% 0.61/0.80  % (10179)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 (2995ds/34Mi)
% 0.61/0.80  % (10182)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (10180)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 (2995ds/51Mi)
% 0.61/0.80  % (10183)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 (2995ds/34Mi)
% 0.61/0.80  % (10184)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (10181)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (10185)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 (2995ds/83Mi)
% 0.61/0.80  % (10186)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 (2995ds/56Mi)
% 0.61/0.81  % (10183)Refutation not found, incomplete strategy% (10183)------------------------------
% 0.61/0.81  % (10183)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (10186)Refutation not found, incomplete strategy% (10186)------------------------------
% 0.61/0.81  % (10186)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (10186)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (10186)Memory used [KB]: 970
% 0.61/0.81  % (10186)Time elapsed: 0.002 s
% 0.61/0.81  % (10186)Instructions burned: 3 (million)
% 0.61/0.81  % (10186)------------------------------
% 0.61/0.81  % (10186)------------------------------
% 0.61/0.81  % (10183)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (10183)Memory used [KB]: 973
% 0.61/0.81  % (10183)Time elapsed: 0.003 s
% 0.61/0.81  % (10183)Instructions burned: 3 (million)
% 0.61/0.81  % (10183)------------------------------
% 0.61/0.81  % (10183)------------------------------
% 0.61/0.81  % (10179)Refutation not found, incomplete strategy% (10179)------------------------------
% 0.61/0.81  % (10179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (10179)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (10179)Memory used [KB]: 974
% 0.61/0.81  % (10179)Time elapsed: 0.004 s
% 0.61/0.81  % (10179)Instructions burned: 3 (million)
% 0.61/0.81  % (10179)------------------------------
% 0.61/0.81  % (10179)------------------------------
% 0.61/0.81  % (10185)First to succeed.
% 0.61/0.81  % (10184)Also succeeded, but the first one will report.
% 0.61/0.81  % (10180)Also succeeded, but the first one will report.
% 0.61/0.81  % (10185)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (10185)------------------------------
% 0.61/0.81  % (10185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (10185)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (10185)Memory used [KB]: 989
% 0.61/0.81  % (10185)Time elapsed: 0.004 s
% 0.61/0.81  % (10185)Instructions burned: 4 (million)
% 0.61/0.81  % (10185)------------------------------
% 0.61/0.81  % (10185)------------------------------
% 0.61/0.81  % (10174)Success in time 0.477 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------