TSTP Solution File: SWV216+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV216+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n003.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 04:02:52 EDT 2024

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :  447 ( 414 equ)
%            Maximal formula atoms :  110 (  37 avg)
%            Number of connectives :  745 ( 310   ~; 117   |; 311   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   35 (  20 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   12 (   6   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(trivial_inequality_removal,[],[f216]) ).

fof(f216,plain,
    ( sK0 != sK0
    | sK1 != sK1 ),
    inference(definition_unfolding,[],[f138,f152,f151]) ).

fof(f151,plain,
    n2 = sK1,
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
    & n4 = sK0
    & n2 = sK1
    & n2 = sK0
    & n1 = sK1
    & ( n5 != sK1
      | n5 != sK0 )
    & ( n5 != sK0
      | n4 != sK1 )
    & ( n5 != sK1
      | n4 != sK0 )
    & ( n4 != sK1
      | n4 != sK0 )
    & ( n5 != sK0
      | n3 != sK1 )
    & ( n4 != sK0
      | n3 != sK1 )
    & ( n5 != sK1
      | n3 != sK0 )
    & ( n4 != sK1
      | n3 != sK0 )
    & ( n3 != sK1
      | n3 != sK0 )
    & ( n5 != sK0
      | n2 != sK1 )
    & ( n4 != sK0
      | n2 != sK1 )
    & ( n3 != sK0
      | n2 != sK1 )
    & ( n5 != sK1
      | n2 != sK0 )
    & ( n4 != sK1
      | n2 != sK0 )
    & ( n3 != sK1
      | n2 != sK0 )
    & ( n5 != sK0
      | n1 != sK1 )
    & ( n5 != sK1
      | n1 != sK0 )
    & ( n4 != sK1
      | n1 != sK0 )
    & ( n3 != sK1
      | n1 != sK0 )
    & ( n5 != sK0
      | n0 != sK1 )
    & ( n5 != sK1
      | n0 != sK0 )
    & ( n4 != sK1
      | n0 != sK0 )
    & ( n3 != sK1
      | n0 != sK0 )
    & leq(sK1,n5)
    & leq(sK0,n5)
    & leq(n0,sK1)
    & leq(n0,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f96,f118]) ).

fof(f118,plain,
    ( ? [X0,X1] :
        ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
        & n4 = X0
        & n2 = X1
        & n2 = X0
        & n1 = X1
        & ( n5 != X1
          | n5 != X0 )
        & ( n5 != X0
          | n4 != X1 )
        & ( n5 != X1
          | n4 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n5 != X0
          | n3 != X1 )
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n3 != X1
          | n3 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n3 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n3 != X1
          | n2 != X0 )
        & ( n5 != X0
          | n1 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n3 != X1
          | n1 != X0 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = sK0
      & n2 = sK1
      & n2 = sK0
      & n1 = sK1
      & ( n5 != sK1
        | n5 != sK0 )
      & ( n5 != sK0
        | n4 != sK1 )
      & ( n5 != sK1
        | n4 != sK0 )
      & ( n4 != sK1
        | n4 != sK0 )
      & ( n5 != sK0
        | n3 != sK1 )
      & ( n4 != sK0
        | n3 != sK1 )
      & ( n5 != sK1
        | n3 != sK0 )
      & ( n4 != sK1
        | n3 != sK0 )
      & ( n3 != sK1
        | n3 != sK0 )
      & ( n5 != sK0
        | n2 != sK1 )
      & ( n4 != sK0
        | n2 != sK1 )
      & ( n3 != sK0
        | n2 != sK1 )
      & ( n5 != sK1
        | n2 != sK0 )
      & ( n4 != sK1
        | n2 != sK0 )
      & ( n3 != sK1
        | n2 != sK0 )
      & ( n5 != sK0
        | n1 != sK1 )
      & ( n5 != sK1
        | n1 != sK0 )
      & ( n4 != sK1
        | n1 != sK0 )
      & ( n3 != sK1
        | n1 != sK0 )
      & ( n5 != sK0
        | n0 != sK1 )
      & ( n5 != sK1
        | n0 != sK0 )
      & ( n4 != sK1
        | n0 != sK0 )
      & ( n3 != sK1
        | n0 != sK0 )
      & leq(sK1,n5)
      & leq(sK0,n5)
      & leq(n0,sK1)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = X0
      & n2 = X1
      & n2 = X0
      & n1 = X1
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = X0
      & n2 = X1
      & n2 = X0
      & n1 = X1
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ! [X0,X1] :
        ( ( leq(X1,n5)
          & leq(X0,n5)
          & leq(n0,X1)
          & leq(n0,X0) )
       => ( ( n4 = X0
            & n2 = X1
            & n2 = X0
            & n1 = X1
            & ~ ( n5 = X1
                & n5 = X0 )
            & ~ ( n5 = X0
                & n4 = X1 )
            & ~ ( n5 = X1
                & n4 = X0 )
            & ~ ( n4 = X1
                & n4 = X0 )
            & ~ ( n5 = X0
                & n3 = X1 )
            & ~ ( n4 = X0
                & n3 = X1 )
            & ~ ( n5 = X1
                & n3 = X0 )
            & ~ ( n4 = X1
                & n3 = X0 )
            & ~ ( n3 = X1
                & n3 = X0 )
            & ~ ( n5 = X0
                & n2 = X1 )
            & ~ ( n4 = X0
                & n2 = X1 )
            & ~ ( n3 = X0
                & n2 = X1 )
            & ~ ( n5 = X1
                & n2 = X0 )
            & ~ ( n4 = X1
                & n2 = X0 )
            & ~ ( n3 = X1
                & n2 = X0 )
            & ~ ( n5 = X0
                & n1 = X1 )
            & ~ ( n5 = X1
                & n1 = X0 )
            & ~ ( n4 = X1
                & n1 = X0 )
            & ~ ( n3 = X1
                & n1 = X0 )
            & ~ ( n5 = X0
                & n0 = X1 )
            & ~ ( n5 = X1
                & n0 = X0 )
            & ~ ( n4 = X1
                & n0 = X0 )
            & ~ ( n3 = X1
                & n0 = X0 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X13,X17] :
        ( ( leq(X17,n5)
          & leq(X13,n5)
          & leq(n0,X17)
          & leq(n0,X13) )
       => ( ( n4 = X13
            & n2 = X17
            & n2 = X13
            & n1 = X17
            & ~ ( n5 = X17
                & n5 = X13 )
            & ~ ( n5 = X13
                & n4 = X17 )
            & ~ ( n5 = X17
                & n4 = X13 )
            & ~ ( n4 = X17
                & n4 = X13 )
            & ~ ( n5 = X13
                & n3 = X17 )
            & ~ ( n4 = X13
                & n3 = X17 )
            & ~ ( n5 = X17
                & n3 = X13 )
            & ~ ( n4 = X17
                & n3 = X13 )
            & ~ ( n3 = X17
                & n3 = X13 )
            & ~ ( n5 = X13
                & n2 = X17 )
            & ~ ( n4 = X13
                & n2 = X17 )
            & ~ ( n3 = X13
                & n2 = X17 )
            & ~ ( n5 = X17
                & n2 = X13 )
            & ~ ( n4 = X17
                & n2 = X13 )
            & ~ ( n3 = X17
                & n2 = X13 )
            & ~ ( n5 = X13
                & n1 = X17 )
            & ~ ( n5 = X17
                & n1 = X13 )
            & ~ ( n4 = X17
                & n1 = X13 )
            & ~ ( n3 = X17
                & n1 = X13 )
            & ~ ( n5 = X13
                & n0 = X17 )
            & ~ ( n5 = X17
                & n0 = X13 )
            & ~ ( n4 = X17
                & n0 = X13 )
            & ~ ( n3 = X17
                & n0 = X13 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X13,X17] :
      ( ( leq(X17,n5)
        & leq(X13,n5)
        & leq(n0,X17)
        & leq(n0,X13) )
     => ( ( n4 = X13
          & n2 = X17
          & n2 = X13
          & n1 = X17
          & ~ ( n5 = X17
              & n5 = X13 )
          & ~ ( n5 = X13
              & n4 = X17 )
          & ~ ( n5 = X17
              & n4 = X13 )
          & ~ ( n4 = X17
              & n4 = X13 )
          & ~ ( n5 = X13
              & n3 = X17 )
          & ~ ( n4 = X13
              & n3 = X17 )
          & ~ ( n5 = X17
              & n3 = X13 )
          & ~ ( n4 = X17
              & n3 = X13 )
          & ~ ( n3 = X17
              & n3 = X13 )
          & ~ ( n5 = X13
              & n2 = X17 )
          & ~ ( n4 = X13
              & n2 = X17 )
          & ~ ( n3 = X13
              & n2 = X17 )
          & ~ ( n5 = X17
              & n2 = X13 )
          & ~ ( n4 = X17
              & n2 = X13 )
          & ~ ( n3 = X17
              & n2 = X13 )
          & ~ ( n5 = X13
              & n1 = X17 )
          & ~ ( n5 = X17
              & n1 = X13 )
          & ~ ( n4 = X17
              & n1 = X13 )
          & ~ ( n3 = X17
              & n1 = X13 )
          & ~ ( n5 = X13
              & n0 = X17 )
          & ~ ( n5 = X17
              & n0 = X13 )
          & ~ ( n4 = X17
              & n0 = X13 )
          & ~ ( n3 = X17
              & n0 = X13 ) )
       => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.TmX2rW04ly/Vampire---4.8_28456',quaternion_ds1_symm_0201) ).

fof(f152,plain,
    n4 = sK0,
    inference(cnf_transformation,[],[f119]) ).

fof(f138,plain,
    ( n4 != sK0
    | n2 != sK1 ),
    inference(cnf_transformation,[],[f119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWV216+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n003.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
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:37:49 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.TmX2rW04ly/Vampire---4.8_28456
% 0.61/0.78  % (28657)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)
% 0.61/0.78  % (28659)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)
% 0.61/0.78  % (28652)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)
% 0.61/0.78  % (28654)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (28657)First to succeed.
% 0.61/0.78  % (28653)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)
% 0.61/0.78  % (28655)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)
% 0.61/0.78  % (28656)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)
% 0.61/0.78  % (28658)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)
% 0.61/0.78  % (28659)Also succeeded, but the first one will report.
% 0.61/0.78  % (28657)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Theorem for Vampire---4
% 0.61/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (28657)------------------------------
% 0.61/0.78  % (28657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (28657)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (28657)Memory used [KB]: 1141
% 0.61/0.78  % (28657)Time elapsed: 0.005 s
% 0.61/0.78  % (28657)Instructions burned: 7 (million)
% 0.61/0.78  % (28657)------------------------------
% 0.61/0.78  % (28657)------------------------------
% 0.61/0.78  % (28621)Success in time 0.413 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------