TSTP Solution File: SWV180+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV180+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 04:02:47 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :  221 (  63 equ)
%            Maximal formula atoms :   41 (  14 avg)
%            Number of connectives :  273 (  67   ~;  59   |;  98   &)
%                                         (   1 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f236,plain,
    $false,
    inference(subsumption_resolution,[],[f235,f120]) ).

fof(f120,plain,
    leq(n0,pv86),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( init != a_select2(muold_init,pv86)
    & ! [X0] :
        ( init = a_select2(sigmaold_init,X0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(rhoold_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(muold_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X4] :
          ( init = a_select2(rhoold_init,X4)
          | ~ leq(X4,n4)
          | ~ leq(n0,X4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X5] :
          ( init = a_select2(muold_init,X5)
          | ~ leq(X5,n4)
          | ~ leq(n0,X5) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select2(sigma_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( init = a_select2(mu_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ! [X9] :
        ( init = a_select2(rho_init,X9)
        | ~ leq(X9,n4)
        | ~ leq(n0,X9) )
    & ! [X10] :
        ( ! [X11] :
            ( init = a_select3(q_init,X10,X11)
            | ~ leq(X11,n4)
            | ~ leq(n0,X11) )
        | ~ leq(X10,n135299)
        | ~ leq(n0,X10) )
    & leq(pv86,n4)
    & leq(n0,pv86) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ( init != a_select2(muold_init,pv86)
    & ! [X0] :
        ( init = a_select2(sigmaold_init,X0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(rhoold_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(muold_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X4] :
          ( init = a_select2(rhoold_init,X4)
          | ~ leq(X4,n4)
          | ~ leq(n0,X4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X5] :
          ( init = a_select2(muold_init,X5)
          | ~ leq(X5,n4)
          | ~ leq(n0,X5) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select2(sigma_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( init = a_select2(mu_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ! [X9] :
        ( init = a_select2(rho_init,X9)
        | ~ leq(X9,n4)
        | ~ leq(n0,X9) )
    & ! [X10] :
        ( ! [X11] :
            ( init = a_select3(q_init,X10,X11)
            | ~ leq(X11,n4)
            | ~ leq(n0,X11) )
        | ~ leq(X10,n135299)
        | ~ leq(n0,X10) )
    & leq(pv86,n4)
    & leq(n0,pv86) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X0] :
            ( ( leq(X0,n4)
              & leq(n0,X0) )
           => init = a_select2(sigmaold_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n4)
              & leq(n0,X1) )
           => init = a_select2(rhoold_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n4)
              & leq(n0,X2) )
           => init = a_select2(muold_init,X2) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(X3,n4)
                & leq(n0,X3) )
             => init = a_select2(sigmaold_init,X3) ) )
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(X4,n4)
                & leq(n0,X4) )
             => init = a_select2(rhoold_init,X4) ) )
        & ( gt(loopcounter,n1)
         => ! [X5] :
              ( ( leq(X5,n4)
                & leq(n0,X5) )
             => init = a_select2(muold_init,X5) ) )
        & ! [X6] :
            ( ( leq(X6,n4)
              & leq(n0,X6) )
           => init = a_select3(center_init,X6,n0) )
        & ! [X7] :
            ( ( leq(X7,n4)
              & leq(n0,X7) )
           => init = a_select2(sigma_init,X7) )
        & ! [X8] :
            ( ( leq(X8,n4)
              & leq(n0,X8) )
           => init = a_select2(mu_init,X8) )
        & ! [X9] :
            ( ( leq(X9,n4)
              & leq(n0,X9) )
           => init = a_select2(rho_init,X9) )
        & ! [X10] :
            ( ( leq(X10,n135299)
              & leq(n0,X10) )
           => ! [X11] :
                ( ( leq(X11,n4)
                  & leq(n0,X11) )
               => init = a_select3(q_init,X10,X11) ) )
        & leq(pv86,n4)
        & leq(n0,pv86) )
     => init = a_select2(muold_init,pv86) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X5] :
            ( ( leq(X5,n4)
              & leq(n0,X5) )
           => init = a_select2(sigmaold_init,X5) )
        & ! [X15] :
            ( ( leq(X15,n4)
              & leq(n0,X15) )
           => init = a_select2(rhoold_init,X15) )
        & ! [X10] :
            ( ( leq(X10,n4)
              & leq(n0,X10) )
           => init = a_select2(muold_init,X10) )
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(X4,n4)
                & leq(n0,X4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ( gt(loopcounter,n1)
         => ! [X28] :
              ( ( leq(X28,n4)
                & leq(n0,X28) )
             => init = a_select2(rhoold_init,X28) ) )
        & ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(muold_init,X27) ) )
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select3(center_init,X21,n0) )
        & ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select2(mu_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select2(rho_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => a_select3(q_init,X13,X17) = init ) )
        & leq(pv86,n4)
        & leq(n0,pv86) )
     => init = a_select2(muold_init,pv86) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X5] :
          ( ( leq(X5,n4)
            & leq(n0,X5) )
         => init = a_select2(sigmaold_init,X5) )
      & ! [X15] :
          ( ( leq(X15,n4)
            & leq(n0,X15) )
         => init = a_select2(rhoold_init,X15) )
      & ! [X10] :
          ( ( leq(X10,n4)
            & leq(n0,X10) )
         => init = a_select2(muold_init,X10) )
      & ( gt(loopcounter,n1)
       => ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select2(sigmaold_init,X4) ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(X28,n4)
              & leq(n0,X28) )
           => init = a_select2(rhoold_init,X28) ) )
      & ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(muold_init,X27) ) )
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select3(center_init,X21,n0) )
      & ! [X20] :
          ( ( leq(X20,n4)
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select2(mu_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select2(rho_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => a_select3(q_init,X13,X17) = init ) )
      & leq(pv86,n4)
      & leq(n0,pv86) )
   => init = a_select2(muold_init,pv86) ),
    file('/export/starexec/sandbox/tmp/tmp.VTxWr0waVp/Vampire---4.8_30733',cl5_nebula_init_0076) ).

fof(f235,plain,
    ~ leq(n0,pv86),
    inference(subsumption_resolution,[],[f234,f121]) ).

fof(f121,plain,
    leq(pv86,n4),
    inference(cnf_transformation,[],[f96]) ).

fof(f234,plain,
    ( ~ leq(pv86,n4)
    | ~ leq(n0,pv86) ),
    inference(resolution,[],[f192,f189]) ).

fof(f189,plain,
    ~ sQ0_eqProxy(init,a_select2(muold_init,pv86)),
    inference(equality_proxy_replacement,[],[f133,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f133,plain,
    init != a_select2(muold_init,pv86),
    inference(cnf_transformation,[],[f96]) ).

fof(f192,plain,
    ! [X2] :
      ( sQ0_eqProxy(init,a_select2(muold_init,X2))
      | ~ leq(X2,n4)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f130,f188]) ).

fof(f130,plain,
    ! [X2] :
      ( init = a_select2(muold_init,X2)
      | ~ leq(X2,n4)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.13  % 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 18:35:10 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.VTxWr0waVp/Vampire---4.8_30733
% 0.62/0.82  % (30849)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)
% 0.62/0.82  % (30848)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82  % (30850)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)
% 0.62/0.82  % (30846)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)
% 0.62/0.82  % (30851)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)
% 0.62/0.82  % (30847)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)
% 0.62/0.82  % (30852)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)
% 0.62/0.82  % (30853)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)
% 0.62/0.82  % (30853)First to succeed.
% 0.62/0.82  % (30846)Also succeeded, but the first one will report.
% 0.62/0.82  % (30849)Also succeeded, but the first one will report.
% 0.62/0.82  % (30853)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (30853)------------------------------
% 0.62/0.82  % (30853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (30853)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (30853)Memory used [KB]: 1157
% 0.62/0.82  % (30853)Time elapsed: 0.004 s
% 0.62/0.82  % (30853)Instructions burned: 6 (million)
% 0.62/0.82  % (30853)------------------------------
% 0.62/0.82  % (30853)------------------------------
% 0.62/0.82  % (30841)Success in time 0.479 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------