TSTP Solution File: SET631+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET631+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 03:48:24 EDT 2024

% Result   : Theorem 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   75 (  30   ~;  21   |;  18   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   49 (  39   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f27]) ).

fof(f27,plain,
    member(sK3(sK0,difference(sK1,sK2)),sK0),
    inference(resolution,[],[f16,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ intersect(X0,X1)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( intersect(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X2,X0) ) )
      & ( ( member(sK3(X0,X1),X1)
          & member(sK3(X0,X1),X0) )
        | ~ intersect(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f13,f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & member(X3,X0) )
     => ( member(sK3(X0,X1),X1)
        & member(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,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,[],[f12]) ).

fof(f12,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,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( intersect(X0,X1)
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TxInrFFcrK/Vampire---4.8_28380',intersect_defn) ).

fof(f16,plain,
    intersect(sK0,difference(sK1,sK2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ~ intersect(sK0,sK1)
    & intersect(sK0,difference(sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8]) ).

fof(f8,plain,
    ( ? [X0,X1,X2] :
        ( ~ intersect(X0,X1)
        & intersect(X0,difference(X1,X2)) )
   => ( ~ intersect(sK0,sK1)
      & intersect(sK0,difference(sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0,X1,X2] :
      ( ~ intersect(X0,X1)
      & intersect(X0,difference(X1,X2)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( intersect(X0,difference(X1,X2))
       => intersect(X0,X1) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0,X1,X2] :
      ( intersect(X0,difference(X1,X2))
     => intersect(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.TxInrFFcrK/Vampire---4.8_28380',prove_th113) ).

fof(f33,plain,
    ~ member(sK3(sK0,difference(sK1,sK2)),sK0),
    inference(resolution,[],[f31,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ member(X0,sK1)
      | ~ member(X0,sK0) ),
    inference(resolution,[],[f17,f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( intersect(X0,X1)
      | ~ member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f17,plain,
    ~ intersect(sK0,sK1),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    member(sK3(sK0,difference(sK1,sK2)),sK1),
    inference(resolution,[],[f28,f18]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( ~ member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( ~ member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TxInrFFcrK/Vampire---4.8_28380',difference_defn) ).

fof(f28,plain,
    member(sK3(sK0,difference(sK1,sK2)),difference(sK1,sK2)),
    inference(resolution,[],[f16,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ intersect(X0,X1)
      | member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SET631+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.11  % 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
% 0.10/0.32  % Computer : n006.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 17:09:05 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.10/0.32  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/tmp/tmp.TxInrFFcrK/Vampire---4.8_28380
% 0.59/0.80  % (28489)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)
% 0.59/0.80  % (28495)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)
% 0.59/0.80  % (28494)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)
% 0.59/0.80  % (28491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80  % (28492)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)
% 0.59/0.80  % (28490)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)
% 0.59/0.80  % (28493)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)
% 0.59/0.80  % (28496)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)
% 0.59/0.80  % (28496)First to succeed.
% 0.59/0.80  % (28492)Refutation not found, incomplete strategy% (28492)------------------------------
% 0.59/0.80  % (28492)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (28494)Refutation not found, incomplete strategy% (28494)------------------------------
% 0.59/0.80  % (28494)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (28492)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  % (28494)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  % (28493)Refutation not found, incomplete strategy% (28493)------------------------------
% 0.59/0.80  % (28493)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  
% 0.59/0.80  
% 0.59/0.80  % (28493)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (28492)Memory used [KB]: 962
% 0.59/0.80  % (28494)Memory used [KB]: 964
% 0.59/0.80  % (28493)Memory used [KB]: 966
% 0.59/0.80  % (28494)Time elapsed: 0.003 s
% 0.59/0.80  % (28492)Time elapsed: 0.003 s
% 0.59/0.80  % (28493)Time elapsed: 0.003 s
% 0.59/0.80  % (28494)Instructions burned: 2 (million)
% 0.59/0.80  % (28492)Instructions burned: 2 (million)
% 0.59/0.80  % (28493)Instructions burned: 2 (million)
% 0.59/0.80  % (28494)------------------------------
% 0.59/0.80  % (28494)------------------------------
% 0.59/0.80  % (28492)------------------------------
% 0.59/0.80  % (28492)------------------------------
% 0.59/0.80  % (28493)------------------------------
% 0.59/0.80  % (28493)------------------------------
% 0.59/0.81  % (28490)Also succeeded, but the first one will report.
% 0.59/0.81  % (28496)Refutation found. Thanks to Tanya!
% 0.59/0.81  % SZS status Theorem for Vampire---4
% 0.59/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81  % (28496)------------------------------
% 0.59/0.81  % (28496)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (28496)Termination reason: Refutation
% 0.59/0.81  
% 0.59/0.81  % (28496)Memory used [KB]: 973
% 0.59/0.81  % (28496)Time elapsed: 0.003 s
% 0.59/0.81  % (28496)Instructions burned: 3 (million)
% 0.59/0.81  % (28496)------------------------------
% 0.59/0.81  % (28496)------------------------------
% 0.59/0.81  % (28488)Success in time 0.482 s
% 0.59/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------