TSTP Solution File: COM128+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM128+1 : TPTP v8.2.0. 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 : n027.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 : Mon May 20 19:10:46 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :   97 (  48 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  111 (  43   ~;  36   |;  15   &)
%                                         (   0 <=>;  17  =>;   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   :   83 (  79   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f266,plain,
    $false,
    inference(unit_resulting_resolution,[],[f210,f263,f217]) ).

fof(f217,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f216]) ).

fof(f216,plain,
    ! [X2,X3,X1,X4] :
      ( vapp(X2,X4) != X1
      | ~ visFreeVar(X3,X4)
      | visFreeVar(X3,X1) ),
    inference(equality_resolution,[],[f139]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X0 != X3
      | vapp(X2,X4) != X1
      | ~ visFreeVar(X3,X4)
      | visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,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,[],[f97]) ).

fof(f97,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,[],[f72]) ).

fof(f72,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/benchmark/theBenchmark.p',isFreeVar2) ).

fof(f263,plain,
    ~ visFreeVar(sK3,vapp(vapp(sK0,sK1),vvar(sK3))),
    inference(superposition,[],[f235,f198]) ).

fof(f198,plain,
    sK3 = vgensym(vapp(vapp(sK0,sK1),vvar(sK3))),
    inference(definition_unfolding,[],[f128,f129]) ).

fof(f129,plain,
    sK2 = sK3,
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ? [X0,X1,X2,X3] :
      ( X2 = X3
      & vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ~ ! [X0,X1,X2,X3] :
        ( vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3
       => X2 != X3 ),
    inference(rectify,[],[f66]) ).

fof(f66,negated_conjecture,
    ~ ! [X10,X11,X8,X23] :
        ( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
       => X8 != X23 ),
    inference(negated_conjecture,[],[f65]) ).

fof(f65,conjecture,
    ! [X10,X11,X8,X23] :
      ( vgensym(vapp(vapp(X10,X11),vvar(X8))) = X23
     => X8 != X23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-unequal-var-3') ).

fof(f128,plain,
    sK3 = vgensym(vapp(vapp(sK0,sK1),vvar(sK2))),
    inference(cnf_transformation,[],[f89]) ).

fof(f235,plain,
    ! [X1] : ~ visFreeVar(vgensym(X1),X1),
    inference(equality_resolution,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( vgensym(X1) != X0
      | ~ visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ visFreeVar(X0,X1)
      | vgensym(X1) != X0 ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,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/benchmark/theBenchmark.p','gensym-is-fresh') ).

fof(f210,plain,
    ! [X3] : visFreeVar(X3,vvar(X3)),
    inference(equality_resolution,[],[f209]) ).

fof(f209,plain,
    ! [X2,X3] :
      ( X2 != X3
      | visFreeVar(X3,vvar(X2)) ),
    inference(equality_resolution,[],[f208]) ).

fof(f208,plain,
    ! [X2,X3,X1] :
      ( vvar(X2) != X1
      | X2 != X3
      | visFreeVar(X3,X1) ),
    inference(equality_resolution,[],[f133]) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( X0 != X3
      | vvar(X2) != X1
      | X2 != X3
      | visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( X2 = X3
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | X2 != X3 ) )
      | vvar(X2) != X1
      | X0 != X3 ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( X2 = X3
          | ~ visFreeVar(X0,X1) )
        & ( visFreeVar(X0,X1)
          | X2 != X3 ) )
      | vvar(X2) != X1
      | X0 != X3 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3] :
      ( ( vvar(X2) = X1
        & X0 = X3 )
     => ( ( visFreeVar(X0,X1)
         => X2 = X3 )
        & ( X2 = X3
         => visFreeVar(X0,X1) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X3,X8,X13] :
      ( ( vvar(X8) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => X8 = X13 )
        & ( X8 = X13
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COM128+1 : TPTP v8.2.0. Released v6.4.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n027.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   : Sun May 19 10:14:07 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.59/0.74  % (18316)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 theBenchmark for (2996ds/34Mi)
% 0.59/0.74  % (18323)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.59/0.74  % (18322)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 theBenchmark for (2996ds/83Mi)
% 0.59/0.74  % (18318)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.74  % (18319)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.75  % (18323)Refutation not found, incomplete strategy% (18323)------------------------------
% 0.59/0.75  % (18323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (18323)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (18323)Memory used [KB]: 1197
% 0.59/0.75  % (18323)Time elapsed: 0.003 s
% 0.59/0.75  % (18323)Instructions burned: 7 (million)
% 0.59/0.75  % (18323)------------------------------
% 0.59/0.75  % (18323)------------------------------
% 0.59/0.75  % (18322)First to succeed.
% 0.59/0.75  % (18321)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.75  % (18322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18309"
% 0.59/0.75  % (18322)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for theBenchmark
% 0.59/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75  % (18322)------------------------------
% 0.59/0.75  % (18322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (18322)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (18322)Memory used [KB]: 1207
% 0.59/0.75  % (18322)Time elapsed: 0.004 s
% 0.59/0.75  % (18322)Instructions burned: 12 (million)
% 0.59/0.75  % (18309)Success in time 0.393 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------