TSTP Solution File: SET575+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET575+3 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 09:07:18 EDT 2024

% Result   : Theorem 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   3 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   65 (  27   ~;  18   |;  15   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   37 (  27   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f13]) ).

fof(f13,plain,
    intersect(sK0,sK1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X2] :
        ( ~ member(X2,sK1)
        | ~ member(X2,sK0) )
    & intersect(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7]) ).

fof(f7,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X2,X0) )
        & intersect(X0,X1) )
   => ( ! [X2] :
          ( ~ member(X2,sK1)
          | ~ member(X2,sK0) )
      & intersect(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ member(X2,X1)
          | ~ member(X2,X0) )
      & intersect(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ! [X0,X1] :
        ( intersect(X0,X1)
       => ? [X2] :
            ( member(X2,X1)
            & member(X2,X0) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ! [X0,X1] :
      ( intersect(X0,X1)
     => ? [X2] :
          ( member(X2,X1)
          & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.YlZ5K8x2DR/Vampire---4.8_17424',prove_th15) ).

fof(f22,plain,
    ~ intersect(sK0,sK1),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,plain,
    ( ~ intersect(sK0,sK1)
    | ~ intersect(sK0,sK1) ),
    inference(resolution,[],[f19,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | ~ intersect(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( intersect(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X2,X0) ) )
      & ( ( member(sK2(X0,X1),X1)
          & member(sK2(X0,X1),X0) )
        | ~ intersect(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f10,f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & member(X3,X0) )
     => ( member(sK2(X0,X1),X1)
        & member(sK2(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( intersect(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X2,X0) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & member(X3,X0) )
        | ~ intersect(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( intersect(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X2,X0) ) )
      & ( ? [X2] :
            ( member(X2,X1)
            & member(X2,X0) )
        | ~ intersect(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( intersect(X0,X1)
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.YlZ5K8x2DR/Vampire---4.8_17424',intersect_defn) ).

fof(f19,plain,
    ! [X0] :
      ( ~ member(sK2(X0,sK1),sK0)
      | ~ intersect(X0,sK1) ),
    inference(resolution,[],[f14,f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X1)
      | ~ intersect(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f14,plain,
    ! [X2] :
      ( ~ member(X2,sK1)
      | ~ member(X2,sK0) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11  % 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
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 16:43:22 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.31  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.YlZ5K8x2DR/Vampire---4.8_17424
% 0.59/0.77  % (17532)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)
% 0.59/0.77  % (17537)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)
% 0.59/0.77  % (17534)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.77  % (17533)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)
% 0.59/0.77  % (17535)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)
% 0.59/0.77  % (17536)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)
% 0.59/0.77  % (17538)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)
% 0.59/0.77  % (17539)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)
% 0.59/0.77  % (17533)Also succeeded, but the first one will report.
% 0.59/0.77  % (17536)Also succeeded, but the first one will report.
% 0.59/0.77  % (17532)Also succeeded, but the first one will report.
% 0.59/0.77  % (17534)Also succeeded, but the first one will report.
% 0.59/0.77  % (17537)First to succeed.
% 0.59/0.77  % (17539)Also succeeded, but the first one will report.
% 0.59/0.77  % (17535)Also succeeded, but the first one will report.
% 0.59/0.77  % (17538)Also succeeded, but the first one will report.
% 0.59/0.77  % (17537)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17531"
% 0.59/0.77  % (17537)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Theorem for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (17537)------------------------------
% 0.59/0.77  % (17537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (17537)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (17537)Memory used [KB]: 972
% 0.59/0.77  % (17537)Time elapsed: 0.003 s
% 0.59/0.77  % (17537)Instructions burned: 2 (million)
% 0.59/0.77  % (17531)Success in time 0.455 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------