TSTP Solution File: SEU146+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU146+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n009.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 : Sun May  5 09:20:29 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (   6 unt;   0 def)
%            Number of atoms       :  115 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  108 (  42   ~;  55   |;   1   &)
%                                         (   8 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f53,f54,f57,f65,f94]) ).

fof(f94,plain,
    ( ~ spl2_1
    | spl2_2
    | spl2_3 ),
    inference(avatar_contradiction_clause,[],[f93]) ).

fof(f93,plain,
    ( $false
    | ~ spl2_1
    | spl2_2
    | spl2_3 ),
    inference(subsumption_resolution,[],[f92,f68]) ).

fof(f68,plain,
    ( ~ subset(sK0,empty_set)
    | spl2_3 ),
    inference(unit_resulting_resolution,[],[f30,f50,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',d10_xboole_0) ).

fof(f50,plain,
    ( empty_set != sK0
    | spl2_3 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl2_3
  <=> empty_set = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f30,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',t2_xboole_1) ).

fof(f92,plain,
    ( subset(sK0,empty_set)
    | ~ spl2_1
    | spl2_2 ),
    inference(forward_demodulation,[],[f82,f69]) ).

fof(f69,plain,
    ( empty_set = set_difference(sK0,singleton(sK1))
    | ~ spl2_1 ),
    inference(unit_resulting_resolution,[],[f43,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | empty_set = set_difference(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( empty_set = set_difference(X0,X1)
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',t37_xboole_1) ).

fof(f43,plain,
    ( subset(sK0,singleton(sK1))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl2_1
  <=> subset(sK0,singleton(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f82,plain,
    ( subset(sK0,set_difference(sK0,singleton(sK1)))
    | ~ spl2_1
    | spl2_2 ),
    inference(unit_resulting_resolution,[],[f34,f77,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( subset(X0,set_difference(X1,singleton(X2)))
      | in(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( subset(X0,set_difference(X1,singleton(X2)))
      | in(X2,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( subset(X0,set_difference(X1,singleton(X2)))
      | in(X2,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => ( subset(X0,set_difference(X1,singleton(X2)))
        | in(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',l3_zfmisc_1) ).

fof(f77,plain,
    ( ~ in(sK1,sK0)
    | ~ spl2_1
    | spl2_2 ),
    inference(unit_resulting_resolution,[],[f72,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',l2_zfmisc_1) ).

fof(f72,plain,
    ( ~ subset(singleton(sK1),sK0)
    | ~ spl2_1
    | spl2_2 ),
    inference(subsumption_resolution,[],[f71,f46]) ).

fof(f46,plain,
    ( sK0 != singleton(sK1)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl2_2
  <=> sK0 = singleton(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f71,plain,
    ( ~ subset(singleton(sK1),sK0)
    | sK0 = singleton(sK1)
    | ~ spl2_1 ),
    inference(resolution,[],[f43,f29]) ).

fof(f34,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',reflexivity_r1_tarski) ).

fof(f65,plain,
    ( spl2_1
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | spl2_1
    | ~ spl2_3 ),
    inference(subsumption_resolution,[],[f61,f30]) ).

fof(f61,plain,
    ( ~ subset(empty_set,singleton(sK1))
    | spl2_1
    | ~ spl2_3 ),
    inference(superposition,[],[f42,f51]) ).

fof(f51,plain,
    ( empty_set = sK0
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f42,plain,
    ( ~ subset(sK0,singleton(sK1))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f57,plain,
    ( spl2_1
    | ~ spl2_2 ),
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl2_1
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f55,f34]) ).

fof(f55,plain,
    ( ~ subset(sK0,sK0)
    | spl2_1
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f42,f47]) ).

fof(f47,plain,
    ( sK0 = singleton(sK1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f54,plain,
    ( ~ spl2_1
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f23,f49,f41]) ).

fof(f23,plain,
    ( empty_set != sK0
    | ~ subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1] :
      ( subset(X0,singleton(X1))
    <~> ( singleton(X1) = X0
        | empty_set = X0 ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(X0,singleton(X1))
      <=> ( singleton(X1) = X0
          | empty_set = X0 ) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1] :
      ( subset(X0,singleton(X1))
    <=> ( singleton(X1) = X0
        | empty_set = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.mS1CwOJa9b/Vampire---4.8_19947',l4_zfmisc_1) ).

fof(f53,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f24,f45,f41]) ).

fof(f24,plain,
    ( sK0 != singleton(sK1)
    | ~ subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f52,plain,
    ( spl2_1
    | spl2_2
    | spl2_3 ),
    inference(avatar_split_clause,[],[f25,f49,f45,f41]) ).

fof(f25,plain,
    ( empty_set = sK0
    | sK0 = singleton(sK1)
    | subset(sK0,singleton(sK1)) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU146+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 10:52:25 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.mS1CwOJa9b/Vampire---4.8_19947
% 0.58/0.75  % (20063)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)
% 0.58/0.75  % (20063)Refutation not found, incomplete strategy% (20063)------------------------------
% 0.58/0.75  % (20063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20063)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (20063)Memory used [KB]: 970
% 0.58/0.75  % (20063)Time elapsed: 0.002 s
% 0.58/0.75  % (20063)Instructions burned: 2 (million)
% 0.58/0.75  % (20056)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)
% 0.58/0.75  % (20058)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (20063)------------------------------
% 0.58/0.75  % (20063)------------------------------
% 0.58/0.75  % (20057)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)
% 0.58/0.75  % (20060)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)
% 0.58/0.75  % (20061)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)
% 0.58/0.75  % (20059)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)
% 0.58/0.75  % (20062)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)
% 0.58/0.75  % (20060)Refutation not found, incomplete strategy% (20060)------------------------------
% 0.58/0.75  % (20060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20060)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (20060)Memory used [KB]: 973
% 0.58/0.75  % (20060)Time elapsed: 0.003 s
% 0.58/0.75  % (20060)Instructions burned: 2 (million)
% 0.58/0.75  % (20056)Refutation not found, incomplete strategy% (20056)------------------------------
% 0.58/0.75  % (20056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20056)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (20056)Memory used [KB]: 988
% 0.58/0.75  % (20056)Time elapsed: 0.003 s
% 0.58/0.75  % (20056)Instructions burned: 3 (million)
% 0.58/0.75  % (20061)Refutation not found, incomplete strategy% (20061)------------------------------
% 0.58/0.75  % (20061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20061)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (20060)------------------------------
% 0.58/0.75  % (20060)------------------------------
% 0.58/0.75  % (20061)Memory used [KB]: 980
% 0.58/0.75  % (20061)Time elapsed: 0.003 s
% 0.58/0.75  % (20059)Refutation not found, incomplete strategy% (20059)------------------------------
% 0.58/0.75  % (20059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (20059)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (20059)Memory used [KB]: 981
% 0.58/0.75  % (20059)Time elapsed: 0.003 s
% 0.58/0.75  % (20059)Instructions burned: 3 (million)
% 0.58/0.75  % (20061)Instructions burned: 3 (million)
% 0.58/0.75  % (20056)------------------------------
% 0.58/0.75  % (20056)------------------------------
% 0.58/0.75  % (20059)------------------------------
% 0.58/0.75  % (20059)------------------------------
% 0.58/0.75  % (20061)------------------------------
% 0.58/0.75  % (20061)------------------------------
% 0.58/0.75  % (20064)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75  % (20062)First to succeed.
% 0.58/0.75  % (20058)Also succeeded, but the first one will report.
% 0.58/0.75  % (20057)Also succeeded, but the first one will report.
% 0.58/0.75  % (20062)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20055"
% 0.58/0.75  % (20062)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (20062)------------------------------
% 0.58/0.76  % (20062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (20062)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (20062)Memory used [KB]: 994
% 0.58/0.76  % (20062)Time elapsed: 0.005 s
% 0.58/0.76  % (20062)Instructions burned: 4 (million)
% 0.58/0.76  % (20055)Success in time 0.384 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------