TSTP Solution File: SET700+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET700+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Tue May 21 03:12:53 EDT 2024

% Result   : Theorem 0.49s 0.72s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (   2 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  100 (  33   ~;  39   |;  11   &)
%                                         (  11 <=>;   4  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   51 (  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f41,f42,f243,f310]) ).

fof(f310,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | ~ spl4_1
    | spl4_2 ),
    inference(subsumption_resolution,[],[f304,f249]) ).

fof(f249,plain,
    ( ~ member(sK3(intersection(sK0,difference(sK2,sK1)),sK1),sK0)
    | ~ spl4_1
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f40,f246]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ member(sK3(X0,sK1),sK0)
        | subset(X0,sK1) )
    | ~ spl4_1 ),
    inference(resolution,[],[f244,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f244,plain,
    ( ! [X0] :
        ( member(X0,sK1)
        | ~ member(X0,sK0) )
    | ~ spl4_1 ),
    inference(resolution,[],[f35,f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    ( subset(sK0,sK1)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl4_1
  <=> subset(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f40,plain,
    ( ~ subset(intersection(sK0,difference(sK2,sK1)),sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl4_2
  <=> subset(intersection(sK0,difference(sK2,sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f304,plain,
    ( member(sK3(intersection(sK0,difference(sK2,sK1)),sK1),sK0)
    | spl4_2 ),
    inference(resolution,[],[f247,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( member(X0,intersection(X1,X2))
    <=> ( member(X0,X2)
        & member(X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).

fof(f247,plain,
    ( member(sK3(intersection(sK0,difference(sK2,sK1)),sK1),intersection(sK0,difference(sK2,sK1)))
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f40,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f243,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f231,f56]) ).

fof(f56,plain,
    ( ~ member(sK3(sK0,sK1),intersection(sK0,difference(sK2,sK1)))
    | spl4_1
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f39,f46,f24]) ).

fof(f46,plain,
    ( ~ member(sK3(sK0,sK1),sK1)
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f36,f26]) ).

fof(f36,plain,
    ( ~ subset(sK0,sK1)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f39,plain,
    ( subset(intersection(sK0,difference(sK2,sK1)),sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f231,plain,
    ( member(sK3(sK0,sK1),intersection(sK0,difference(sK2,sK1)))
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f45,f59,f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f59,plain,
    ( member(sK3(sK0,sK1),difference(sK2,sK1))
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f46,f50,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( member(X0,difference(X2,X1))
      | member(X0,X1)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( member(X0,difference(X2,X1))
    <=> ( ~ member(X0,X1)
        & member(X0,X2) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0,X3] :
      ( member(X1,difference(X3,X0))
    <=> ( ~ member(X1,X0)
        & member(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).

fof(f50,plain,
    ( member(sK3(sK0,sK1),sK2)
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f22,f45,f24]) ).

fof(f22,plain,
    subset(sK0,sK2),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ( subset(X0,X1)
      <~> subset(intersection(X0,difference(X2,X1)),X1) )
      & subset(X1,X2)
      & subset(X0,X2) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ( subset(X0,X1)
      <~> subset(intersection(X0,difference(X2,X1)),X1) )
      & subset(X1,X2)
      & subset(X0,X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X0,X1,X2] :
        ( ( subset(X1,X2)
          & subset(X0,X2) )
       => ( subset(X0,X1)
        <=> subset(intersection(X0,difference(X2,X1)),X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X3] :
        ( ( subset(X1,X3)
          & subset(X0,X3) )
       => ( subset(X0,X1)
        <=> subset(intersection(X0,difference(X3,X1)),X1) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1,X3] :
      ( ( subset(X1,X3)
        & subset(X0,X3) )
     => ( subset(X0,X1)
      <=> subset(intersection(X0,difference(X3,X1)),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI34) ).

fof(f45,plain,
    ( member(sK3(sK0,sK1),sK0)
    | spl4_1 ),
    inference(unit_resulting_resolution,[],[f36,f25]) ).

fof(f42,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f20,f38,f34]) ).

fof(f20,plain,
    ( subset(intersection(sK0,difference(sK2,sK1)),sK1)
    | subset(sK0,sK1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f41,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f21,f38,f34]) ).

fof(f21,plain,
    ( ~ subset(intersection(sK0,difference(sK2,sK1)),sK1)
    | ~ subset(sK0,sK1) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET700+4 : TPTP v8.2.0. Released v2.2.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 11:39:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.72  % (17539)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 theBenchmark for (2996ds/83Mi)
% 0.49/0.72  % (17533)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 theBenchmark for (2996ds/34Mi)
% 0.49/0.72  % (17536)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.49/0.72  % (17534)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 theBenchmark for (2996ds/51Mi)
% 0.49/0.72  % (17537)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 theBenchmark for (2996ds/34Mi)
% 0.49/0.72  % (17538)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.49/0.72  % (17538)Refutation not found, incomplete strategy% (17538)------------------------------
% 0.49/0.72  % (17538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (17538)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (17538)Memory used [KB]: 971
% 0.49/0.72  % (17538)Time elapsed: 0.002 s
% 0.49/0.72  % (17538)Instructions burned: 2 (million)
% 0.49/0.72  % (17538)------------------------------
% 0.49/0.72  % (17538)------------------------------
% 0.49/0.72  % (17537)Refutation not found, incomplete strategy% (17537)------------------------------
% 0.49/0.72  % (17537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (17537)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (17537)Memory used [KB]: 1044
% 0.49/0.72  % (17537)Time elapsed: 0.003 s
% 0.49/0.72  % (17537)Instructions burned: 3 (million)
% 0.49/0.72  % (17540)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.49/0.72  % (17537)------------------------------
% 0.49/0.72  % (17537)------------------------------
% 0.49/0.72  % (17539)First to succeed.
% 0.49/0.72  % (17539)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17532"
% 0.49/0.72  % (17539)Refutation found. Thanks to Tanya!
% 0.49/0.72  % SZS status Theorem for theBenchmark
% 0.49/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.72  % (17539)------------------------------
% 0.49/0.72  % (17539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (17539)Termination reason: Refutation
% 0.49/0.72  
% 0.49/0.72  % (17539)Memory used [KB]: 1122
% 0.49/0.72  % (17539)Time elapsed: 0.005 s
% 0.49/0.72  % (17539)Instructions burned: 12 (million)
% 0.49/0.72  % (17532)Success in time 0.366 s
% 0.49/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------