TSTP Solution File: COM129+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM129+1 : TPTP v8.1.2. Released v6.4.0.
% 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 : n022.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 02:13:55 EDT 2024

% Result   : Theorem 0.66s 0.83s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (   7 unt;   0 def)
%            Number of atoms       :   79 (  26 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   89 (  37   ~;  28   |;  12   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   73 (  65   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(subsumption_resolution,[],[f300,f163]) ).

fof(f163,plain,
    visFreeVar(sK7,sK8),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( visFreeVar(sK7,sK8)
    & sK7 = vgensym(vapp(vapp(sK5,sK8),vvar(sK6))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f91,f137]) ).

fof(f137,plain,
    ( ? [X0,X1,X2,X3] :
        ( visFreeVar(X2,X3)
        & vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 )
   => ( visFreeVar(sK7,sK8)
      & sK7 = vgensym(vapp(vapp(sK5,sK8),vvar(sK6))) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ? [X0,X1,X2,X3] :
      ( visFreeVar(X2,X3)
      & vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ~ ! [X0,X1,X2,X3] :
        ( vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2
       => ~ visFreeVar(X2,X3) ),
    inference(rectify,[],[f67]) ).

fof(f67,negated_conjecture,
    ~ ! [X10,X8,X23,X11] :
        ( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
       => ~ visFreeVar(X23,X11) ),
    inference(negated_conjecture,[],[f66]) ).

fof(f66,conjecture,
    ! [X10,X8,X23,X11] :
      ( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
     => ~ visFreeVar(X23,X11) ),
    file('/export/starexec/sandbox/tmp/tmp.rqrPV9TMSl/Vampire---4.8_6206','fresh-free-2') ).

fof(f300,plain,
    ~ visFreeVar(sK7,sK8),
    inference(resolution,[],[f297,f237]) ).

fof(f237,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f236]) ).

fof(f236,plain,
    ! [X2,X3,X0,X4] :
      ( visFreeVar(X0,vapp(X2,X4))
      | ~ visFreeVar(X3,X4)
      | X0 != X3 ),
    inference(equality_resolution,[],[f169]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X4)
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X3,X4)
          | visFreeVar(X3,X2)
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X4)
            & ~ visFreeVar(X3,X2) ) ) )
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( visFreeVar(X3,X4)
          | visFreeVar(X3,X2)
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | ( ~ visFreeVar(X3,X4)
            & ~ visFreeVar(X3,X2) ) ) )
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( vapp(X2,X4) = X1
        & X0 = X3 )
     => ( ( visFreeVar(X0,X1)
         => ( visFreeVar(X3,X4)
            | visFreeVar(X3,X2) ) )
        & ( ( visFreeVar(X3,X4)
            | visFreeVar(X3,X2) )
         => visFreeVar(X0,X1) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X3,X11,X13,X12] :
      ( ( vapp(X11,X12) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => ( visFreeVar(X13,X12)
            | visFreeVar(X13,X11) ) )
        & ( ( visFreeVar(X13,X12)
            | visFreeVar(X13,X11) )
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rqrPV9TMSl/Vampire---4.8_6206',isFreeVar2) ).

fof(f297,plain,
    ~ visFreeVar(sK7,vapp(sK5,sK8)),
    inference(resolution,[],[f296,f239]) ).

fof(f239,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X2) ),
    inference(equality_resolution,[],[f238]) ).

fof(f238,plain,
    ! [X2,X3,X0,X4] :
      ( visFreeVar(X0,vapp(X2,X4))
      | ~ visFreeVar(X3,X2)
      | X0 != X3 ),
    inference(equality_resolution,[],[f168]) ).

fof(f168,plain,
    ! [X2,X3,X0,X1,X4] :
      ( visFreeVar(X0,X1)
      | ~ visFreeVar(X3,X2)
      | vapp(X2,X4) != X1
      | X0 != X3 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f296,plain,
    ~ visFreeVar(sK7,vapp(vapp(sK5,sK8),vvar(sK6))),
    inference(superposition,[],[f264,f162]) ).

fof(f162,plain,
    sK7 = vgensym(vapp(vapp(sK5,sK8),vvar(sK6))),
    inference(cnf_transformation,[],[f138]) ).

fof(f264,plain,
    ! [X1] : ~ visFreeVar(vgensym(X1),X1),
    inference(equality_resolution,[],[f214]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ~ visFreeVar(X0,X1)
      | vgensym(X1) != X0 ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ visFreeVar(X0,X1)
      | vgensym(X1) != X0 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( vgensym(X1) = X0
     => ~ visFreeVar(X0,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X13,X10] :
      ( vgensym(X10) = X13
     => ~ visFreeVar(X13,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.rqrPV9TMSl/Vampire---4.8_6206','gensym-is-fresh') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COM129+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.15  % 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
% 0.16/0.37  % Computer : n022.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:37:28 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.rqrPV9TMSl/Vampire---4.8_6206
% 0.64/0.82  % (6457)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)
% 0.64/0.82  % (6460)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)
% 0.64/0.82  % (6453)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)
% 0.64/0.82  % (6455)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.82  % (6456)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)
% 0.64/0.82  % (6454)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)
% 0.64/0.82  % (6458)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)
% 0.64/0.82  % (6459)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)
% 0.64/0.82  % (6460)Refutation not found, incomplete strategy% (6460)------------------------------
% 0.64/0.82  % (6460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (6460)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (6460)Memory used [KB]: 1184
% 0.64/0.82  % (6460)Time elapsed: 0.003 s
% 0.64/0.82  % (6460)Instructions burned: 7 (million)
% 0.64/0.82  % (6460)------------------------------
% 0.64/0.82  % (6460)------------------------------
% 0.64/0.83  % (6464)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.64/0.83  % (6458)First to succeed.
% 0.64/0.83  % (6455)Also succeeded, but the first one will report.
% 0.66/0.83  % (6458)Refutation found. Thanks to Tanya!
% 0.66/0.83  % SZS status Theorem for Vampire---4
% 0.66/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.83  % (6458)------------------------------
% 0.66/0.83  % (6458)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (6458)Termination reason: Refutation
% 0.66/0.83  
% 0.66/0.83  % (6458)Memory used [KB]: 1206
% 0.66/0.83  % (6458)Time elapsed: 0.006 s
% 0.66/0.83  % (6458)Instructions burned: 9 (million)
% 0.66/0.83  % (6458)------------------------------
% 0.66/0.83  % (6458)------------------------------
% 0.66/0.83  % (6426)Success in time 0.443 s
% 0.66/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------