TSTP Solution File: SET073+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET073+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n026.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 09:03:38 EDT 2024

% Result   : Theorem 0.68s 0.84s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   49 (  20 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   49 (  18   ~;  14   |;  12   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  23   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(subsumption_resolution,[],[f79,f55]) ).

fof(f55,plain,
    member(sK0,universal_class),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( null_class = unordered_pair(sK0,sK1)
    & member(sK0,universal_class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f48,f49]) ).

fof(f49,plain,
    ( ? [X0,X1] :
        ( unordered_pair(X0,X1) = null_class
        & member(X0,universal_class) )
   => ( null_class = unordered_pair(sK0,sK1)
      & member(sK0,universal_class) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ? [X0,X1] :
      ( unordered_pair(X0,X1) = null_class
      & member(X0,universal_class) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( member(X0,universal_class)
       => unordered_pair(X0,X1) != null_class ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( member(X0,universal_class)
     => unordered_pair(X0,X1) != null_class ),
    file('/export/starexec/sandbox2/tmp/tmp.whvZb0yCbA/Vampire---4.8_31771',corollary1_1) ).

fof(f79,plain,
    ~ member(sK0,universal_class),
    inference(subsumption_resolution,[],[f76,f64]) ).

fof(f64,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox2/tmp/tmp.whvZb0yCbA/Vampire---4.8_31771',null_class_defn) ).

fof(f76,plain,
    ( member(sK0,null_class)
    | ~ member(sK0,universal_class) ),
    inference(superposition,[],[f73,f56]) ).

fof(f56,plain,
    null_class = unordered_pair(sK0,sK1),
    inference(cnf_transformation,[],[f50]) ).

fof(f73,plain,
    ! [X2,X1] :
      ( member(X1,unordered_pair(X1,X2))
      | ~ member(X1,universal_class) ),
    inference(equality_resolution,[],[f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( ( X1 = X2
          | X0 = X2 )
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.whvZb0yCbA/Vampire---4.8_31771',unordered_pair_defn) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET073+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.14  % 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
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:05:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.whvZb0yCbA/Vampire---4.8_31771
% 0.68/0.84  % (32008)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)
% 0.68/0.84  % (32005)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.68/0.84  % (32003)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)
% 0.68/0.84  % (32004)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)
% 0.68/0.84  % (32006)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)
% 0.68/0.84  % (32007)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)
% 0.68/0.84  % (32009)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)
% 0.68/0.84  % (32010)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)
% 0.68/0.84  % (32010)Refutation not found, incomplete strategy% (32010)------------------------------
% 0.68/0.84  % (32010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (32010)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84  
% 0.68/0.84  % (32010)Memory used [KB]: 1041
% 0.68/0.84  % (32008)First to succeed.
% 0.68/0.84  % (32010)Time elapsed: 0.003 s
% 0.68/0.84  % (32010)Instructions burned: 2 (million)
% 0.68/0.84  % (32010)------------------------------
% 0.68/0.84  % (32010)------------------------------
% 0.68/0.84  % (32008)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31948"
% 0.68/0.84  % (32006)Refutation not found, incomplete strategy% (32006)------------------------------
% 0.68/0.84  % (32006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (32006)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.84  
% 0.68/0.84  % (32006)Memory used [KB]: 1056
% 0.68/0.84  % (32006)Time elapsed: 0.004 s
% 0.68/0.84  % (32006)Instructions burned: 3 (million)
% 0.68/0.84  % (32009)Also succeeded, but the first one will report.
% 0.68/0.84  % (32006)------------------------------
% 0.68/0.84  % (32006)------------------------------
% 0.68/0.84  % (32008)Refutation found. Thanks to Tanya!
% 0.68/0.84  % SZS status Theorem for Vampire---4
% 0.68/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.84  % (32008)------------------------------
% 0.68/0.84  % (32008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.84  % (32008)Termination reason: Refutation
% 0.68/0.84  
% 0.68/0.84  % (32008)Memory used [KB]: 1050
% 0.68/0.84  % (32008)Time elapsed: 0.004 s
% 0.68/0.84  % (32008)Instructions burned: 3 (million)
% 0.68/0.84  % (31948)Success in time 0.48 s
% 0.68/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------