TSTP Solution File: SWV181+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV181+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 : n002.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 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :  220 (  49 equ)
%            Maximal formula atoms :   26 (   9 avg)
%            Number of connectives :  277 (  81   ~;  72   |;  88   &)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   71 (  67   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f262,plain,
    $false,
    inference(subsumption_resolution,[],[f249,f124]) ).

fof(f124,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.0o0F6qLa5R/Vampire---4.8_1117',irreflexivity_gt) ).

fof(f249,plain,
    gt(n1,n1),
    inference(backward_demodulation,[],[f115,f244]) ).

fof(f244,plain,
    n1 = loopcounter,
    inference(unit_resulting_resolution,[],[f114,f202,f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0o0F6qLa5R/Vampire---4.8_1117',leq_gt2) ).

fof(f202,plain,
    ~ gt(loopcounter,n1),
    inference(unit_resulting_resolution,[],[f115,f124,f125]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.0o0F6qLa5R/Vampire---4.8_1117',transitivity_gt) ).

fof(f114,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( init != a_select2(muold_init,sK0)
    & leq(sK0,n4)
    & leq(n0,sK0)
    & ( ! [X1] :
          ( init = a_select2(sigma_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X2] :
          ( init = a_select2(rho_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X3] :
          ( init = a_select2(mu_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n0) )
    & ! [X4] :
        ( init = a_select3(center_init,X4,n0)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(X6,n4)
            | ~ leq(n0,X6) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) )
    & gt(n1,loopcounter)
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv76) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f110,f111]) ).

fof(f111,plain,
    ( ? [X0] :
        ( init != a_select2(muold_init,X0)
        & leq(X0,n4)
        & leq(n0,X0) )
   => ( init != a_select2(muold_init,sK0)
      & leq(sK0,n4)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ( ? [X0] :
        ( init != a_select2(muold_init,X0)
        & leq(X0,n4)
        & leq(n0,X0) )
    & ( ! [X1] :
          ( init = a_select2(sigma_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X2] :
          ( init = a_select2(rho_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X3] :
          ( init = a_select2(mu_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n0) )
    & ! [X4] :
        ( init = a_select3(center_init,X4,n0)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(X6,n4)
            | ~ leq(n0,X6) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) )
    & gt(n1,loopcounter)
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv76) ),
    inference(rectify,[],[f96]) ).

fof(f96,plain,
    ( ? [X6] :
        ( init != a_select2(muold_init,X6)
        & leq(X6,n4)
        & leq(n0,X6) )
    & ( ! [X0] :
          ( init = a_select2(sigma_init,X0)
          | ~ leq(X0,n4)
          | ~ leq(n0,X0) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X1] :
          ( init = a_select2(rho_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X2] :
          ( init = a_select2(mu_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n0) )
    & ! [X3] :
        ( init = a_select3(center_init,X3,n0)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(q_init,X4,X5)
            | ~ leq(X5,n4)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n135299)
        | ~ leq(n0,X4) )
    & gt(n1,loopcounter)
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv76) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ( ? [X6] :
        ( init != a_select2(muold_init,X6)
        & leq(X6,n4)
        & leq(n0,X6) )
    & ( ! [X0] :
          ( init = a_select2(sigma_init,X0)
          | ~ leq(X0,n4)
          | ~ leq(n0,X0) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X1] :
          ( init = a_select2(rho_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n0) )
    & ( ! [X2] :
          ( init = a_select2(mu_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n0) )
    & ! [X3] :
        ( init = a_select3(center_init,X3,n0)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(q_init,X4,X5)
            | ~ leq(X5,n4)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n135299)
        | ~ leq(n0,X4) )
    & gt(n1,loopcounter)
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv76) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ( gt(loopcounter,n0)
         => ! [X0] :
              ( ( leq(X0,n4)
                & leq(n0,X0) )
             => init = a_select2(sigma_init,X0) ) )
        & ( gt(loopcounter,n0)
         => ! [X1] :
              ( ( leq(X1,n4)
                & leq(n0,X1) )
             => init = a_select2(rho_init,X1) ) )
        & ( gt(loopcounter,n0)
         => ! [X2] :
              ( ( leq(X2,n4)
                & leq(n0,X2) )
             => init = a_select2(mu_init,X2) ) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(center_init,X3,n0) )
        & ! [X4] :
            ( ( leq(X4,n135299)
              & leq(n0,X4) )
           => ! [X5] :
                ( ( leq(X5,n4)
                  & leq(n0,X5) )
               => init = a_select3(q_init,X4,X5) ) )
        & gt(n1,loopcounter)
        & leq(n1,loopcounter)
        & leq(tptp_float_0_001,pv76) )
     => ! [X6] :
          ( ( leq(X6,n4)
            & leq(n0,X6) )
         => init = a_select2(muold_init,X6) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => ! [X21] :
              ( ( leq(X21,n4)
                & leq(n0,X21) )
             => init = a_select2(sigma_init,X21) ) )
        & ( gt(loopcounter,n0)
         => ! [X20] :
              ( ( leq(X20,n4)
                & leq(n0,X20) )
             => init = a_select2(rho_init,X20) ) )
        & ( gt(loopcounter,n0)
         => ! [X19] :
              ( ( leq(X19,n4)
                & leq(n0,X19) )
             => init = a_select2(mu_init,X19) ) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(center_init,X3,n0) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => a_select3(q_init,X13,X17) = init ) )
        & gt(n1,loopcounter)
        & leq(n1,loopcounter)
        & leq(tptp_float_0_001,pv76) )
     => ! [X27] :
          ( ( leq(X27,n4)
            & leq(n0,X27) )
         => init = a_select2(muold_init,X27) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select2(sigma_init,X21) ) )
      & ( gt(loopcounter,n0)
       => ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(rho_init,X20) ) )
      & ( gt(loopcounter,n0)
       => ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select2(mu_init,X19) ) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select3(center_init,X3,n0) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => a_select3(q_init,X13,X17) = init ) )
      & gt(n1,loopcounter)
      & leq(n1,loopcounter)
      & leq(tptp_float_0_001,pv76) )
   => ! [X27] :
        ( ( leq(X27,n4)
          & leq(n0,X27) )
       => init = a_select2(muold_init,X27) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0o0F6qLa5R/Vampire---4.8_1117',cl5_nebula_init_0081) ).

fof(f115,plain,
    gt(n1,loopcounter),
    inference(cnf_transformation,[],[f112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV181+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % 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
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:51:25 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33  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.0o0F6qLa5R/Vampire---4.8_1117
% 0.60/0.81  % (1233)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (1234)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)
% 0.60/0.81  % (1231)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)
% 0.60/0.81  % (1235)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)
% 0.60/0.81  % (1236)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)
% 0.60/0.81  % (1232)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)
% 0.60/0.81  % (1237)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)
% 0.60/0.81  % (1238)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)
% 0.60/0.81  % (1234)First to succeed.
% 0.60/0.81  % (1234)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (1234)------------------------------
% 0.60/0.81  % (1234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (1234)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (1234)Memory used [KB]: 1164
% 0.60/0.81  % (1234)Time elapsed: 0.006 s
% 0.60/0.81  % (1234)Instructions burned: 8 (million)
% 0.60/0.81  % (1234)------------------------------
% 0.60/0.81  % (1234)------------------------------
% 0.60/0.81  % (1226)Success in time 0.474 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------