TSTP Solution File: COM141+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM141+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 04:46:58 EDT 2024

% Result   : Theorem 0.51s 0.71s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   82 (  37 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   87 (  34   ~;  24   |;  21   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :  101 (  83   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(subsumption_resolution,[],[f126,f90]) ).

fof(f90,plain,
    vnoType = vlookup(sK0,sK2),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
    & vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
    & vnoType = vlookup(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f71,f88]) ).

fof(f88,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
        & vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2) )
   => ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
      & vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
      & vnoType = vlookup(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & vnoType = vlookup(X0,X2) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & vnoType = vlookup(X0,X2) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
          & vnoType = vlookup(X0,X2) )
       => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ ! [X8,X9,X19,X20,X34,X14] :
        ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
          & vnoType = vlookup(X8,X19) )
       => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19) )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox2/tmp/tmp.KjctJp372v/Vampire---4.8_6407','T-Weak-abs') ).

fof(f126,plain,
    vnoType != vlookup(sK0,sK2),
    inference(subsumption_resolution,[],[f124,f123]) ).

fof(f123,plain,
    vtcheck(sK2,vabs(sK0,sK4,veabs),sK5),
    inference(superposition,[],[f91,f121]) ).

fof(f121,plain,
    sK0 = sK3,
    inference(subsumption_resolution,[],[f120,f90]) ).

fof(f120,plain,
    ( vnoType != vlookup(sK0,sK2)
    | sK0 = sK3 ),
    inference(subsumption_resolution,[],[f119,f91]) ).

fof(f119,plain,
    ( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
    | vnoType != vlookup(sK0,sK2)
    | sK0 = sK3 ),
    inference(resolution,[],[f92,f106]) ).

fof(f106,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(flattening,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2)
        & X0 != X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19)
        & X8 != X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox2/tmp/tmp.KjctJp372v/Vampire---4.8_6407','T-Weak-abs-1') ).

fof(f92,plain,
    ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
    inference(cnf_transformation,[],[f89]) ).

fof(f91,plain,
    vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
    inference(cnf_transformation,[],[f89]) ).

fof(f124,plain,
    ( ~ vtcheck(sK2,vabs(sK0,sK4,veabs),sK5)
    | vnoType != vlookup(sK0,sK2) ),
    inference(resolution,[],[f122,f118]) ).

fof(f118,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X3,X2) ),
    inference(equality_resolution,[],[f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2)
        & X0 = X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19)
        & X8 = X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox2/tmp/tmp.KjctJp372v/Vampire---4.8_6407','T-Weak-abs-2') ).

fof(f122,plain,
    ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK0,sK4,veabs),sK5),
    inference(superposition,[],[f92,f121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08  % Problem    : COM141+1 : TPTP v8.1.2. Released v6.4.0.
% 0.05/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 21:24:23 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.29  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.KjctJp372v/Vampire---4.8_6407
% 0.51/0.71  % (6548)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)
% 0.51/0.71  % (6552)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)
% 0.51/0.71  % (6553)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)
% 0.51/0.71  % (6549)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)
% 0.51/0.71  % (6554)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)
% 0.51/0.71  % (6550)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.51/0.71  % (6555)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)
% 0.51/0.71  % (6551)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)
% 0.51/0.71  % (6555)Refutation not found, incomplete strategy% (6555)------------------------------
% 0.51/0.71  % (6555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (6555)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.71  
% 0.51/0.71  % (6555)Memory used [KB]: 1066
% 0.51/0.71  % (6555)Time elapsed: 0.003 s
% 0.51/0.71  % (6555)Instructions burned: 3 (million)
% 0.51/0.71  % (6553)First to succeed.
% 0.51/0.71  % (6555)------------------------------
% 0.51/0.71  % (6555)------------------------------
% 0.51/0.71  % (6553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6547"
% 0.51/0.71  % (6553)Refutation found. Thanks to Tanya!
% 0.51/0.71  % SZS status Theorem for Vampire---4
% 0.51/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.71  % (6553)------------------------------
% 0.51/0.71  % (6553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.71  % (6553)Termination reason: Refutation
% 0.51/0.71  
% 0.51/0.71  % (6553)Memory used [KB]: 1074
% 0.51/0.71  % (6553)Time elapsed: 0.004 s
% 0.51/0.71  % (6553)Instructions burned: 5 (million)
% 0.51/0.71  % (6547)Success in time 0.416 s
% 0.51/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------