TSTP Solution File: SET072+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET072+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 03:44:46 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   51 (  24 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  11   ~;  10   |;  14   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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   :   31 (  25   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f241,plain,
    $false,
    inference(subsumption_resolution,[],[f236,f55]) ).

fof(f55,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ? [X0,X1,X2] :
      ( X0 != X1
      & unordered_pair(X0,X2) = unordered_pair(X1,X2)
      & member(X1,universal_class)
      & member(X0,universal_class) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ? [X0,X1,X2] :
      ( X0 != X1
      & unordered_pair(X0,X2) = unordered_pair(X1,X2)
      & member(X1,universal_class)
      & member(X0,universal_class) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ! [X0,X1,X2] :
        ( ( unordered_pair(X0,X2) = unordered_pair(X1,X2)
          & member(X1,universal_class)
          & member(X0,universal_class) )
       => X0 = X1 ),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X4] :
        ( ( unordered_pair(X0,X4) = unordered_pair(X1,X4)
          & member(X1,universal_class)
          & member(X0,universal_class) )
       => X0 = X1 ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1,X4] :
      ( ( unordered_pair(X0,X4) = unordered_pair(X1,X4)
        & member(X1,universal_class)
        & member(X0,universal_class) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.AZQ4xYKqkB/Vampire---4.8_17734',right_cancellation) ).

fof(f236,plain,
    sK0 = sK1,
    inference(superposition,[],[f222,f198]) ).

fof(f198,plain,
    sK1 = sK2,
    inference(unit_resulting_resolution,[],[f55,f125,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,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/sandbox/tmp/tmp.AZQ4xYKqkB/Vampire---4.8_17734',unordered_pair_defn) ).

fof(f125,plain,
    member(sK1,unordered_pair(sK0,sK2)),
    inference(subsumption_resolution,[],[f120,f53]) ).

fof(f53,plain,
    member(sK1,universal_class),
    inference(cnf_transformation,[],[f50]) ).

fof(f120,plain,
    ( member(sK1,unordered_pair(sK0,sK2))
    | ~ member(sK1,universal_class) ),
    inference(superposition,[],[f80,f54]) ).

fof(f54,plain,
    unordered_pair(sK0,sK2) = unordered_pair(sK1,sK2),
    inference(cnf_transformation,[],[f50]) ).

fof(f80,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,universal_class)
      | X0 != X1
      | member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f222,plain,
    sK0 = sK2,
    inference(unit_resulting_resolution,[],[f55,f81,f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ member(X0,unordered_pair(sK0,sK2))
      | sK2 = X0
      | sK1 = X0 ),
    inference(superposition,[],[f64,f54]) ).

fof(f81,plain,
    ! [X0] : member(sK0,unordered_pair(sK0,X0)),
    inference(unit_resulting_resolution,[],[f52,f80]) ).

fof(f52,plain,
    member(sK0,universal_class),
    inference(cnf_transformation,[],[f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET072+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.15  % 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
% 0.15/0.36  % Computer : n011.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
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 17:17:31 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.AZQ4xYKqkB/Vampire---4.8_17734
% 0.59/0.76  % (17987)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)
% 0.59/0.76  % (17981)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)
% 0.59/0.76  % (17984)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)
% 0.59/0.76  % (17985)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)
% 0.59/0.76  % (17983)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (17986)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)
% 0.59/0.76  % (17987)First to succeed.
% 0.59/0.76  % (17984)Refutation not found, incomplete strategy% (17984)------------------------------
% 0.59/0.76  % (17984)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (17984)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (17984)Memory used [KB]: 1058
% 0.59/0.76  % (17984)Time elapsed: 0.004 s
% 0.59/0.76  % (17984)Instructions burned: 4 (million)
% 0.59/0.76  % (17984)------------------------------
% 0.59/0.76  % (17984)------------------------------
% 0.59/0.76  % (17988)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)
% 0.61/0.76  % (17982)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)
% 0.61/0.76  % (17987)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (17987)------------------------------
% 0.61/0.76  % (17987)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (17987)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (17987)Memory used [KB]: 1102
% 0.61/0.76  % (17987)Time elapsed: 0.005 s
% 0.61/0.76  % (17987)Instructions burned: 10 (million)
% 0.61/0.76  % (17987)------------------------------
% 0.61/0.76  % (17987)------------------------------
% 0.61/0.76  % (17977)Success in time 0.383 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------