TSTP Solution File: SYN386+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n023.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 04:34:13 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   80 (  25   ~;  17   |;  19   &)
%                                         (   1 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :  115 (  83   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(unit_resulting_resolution,[],[f17,f6,f15,f12]) ).

fof(f12,plain,
    ! [X2,X3,X0,X4] :
      ( ~ big_d(X2,X3,sK2(X0))
      | ~ big_f(X2,X4)
      | sP7(X4,X0,X3) ),
    inference(cnf_transformation,[],[f12_D]) ).

fof(f12_D,plain,
    ! [X3,X0,X4] :
      ( ! [X2] :
          ( ~ big_d(X2,X3,sK2(X0))
          | ~ big_f(X2,X4) )
    <=> ~ sP7(X4,X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f15,plain,
    ! [X0,X1] : big_d(sK5(X0,sK4(X1)),sK0,X1),
    inference(unit_resulting_resolution,[],[f9,f10]) ).

fof(f10,plain,
    ! [X9,X7] :
      ( ~ big_s(sK4(X7),X9)
      | big_d(X9,sK0,X7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ! [X12] :
      ? [X13] :
      ! [X14] :
      ? [X15] :
        ( ? [X16] :
            ( ~ big_d(X16,X12,X13)
            & big_f(X15,X16) )
        & big_s(X14,X15) )
    & ! [X0] :
      ? [X1] :
      ! [X2,X3] :
        ( ! [X4,X5] :
            ( big_d(X4,X5,X0)
            | ~ big_f(X3,X5)
            | ~ big_f(X2,X4) )
        | ~ big_d(X2,X3,X1) )
    & ? [X6] :
      ! [X7] :
      ? [X8] :
      ! [X9] :
        ( big_d(X9,X6,X7)
        | ~ big_s(X8,X9) )
    & ! [X10] :
      ? [X11] : big_f(X10,X11) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ! [X12] :
      ? [X13] :
      ! [X14] :
      ? [X15] :
        ( ? [X16] :
            ( ~ big_d(X16,X12,X13)
            & big_f(X15,X16) )
        & big_s(X14,X15) )
    & ! [X0] :
      ? [X1] :
      ! [X2,X3] :
        ( ! [X4,X5] :
            ( big_d(X4,X5,X0)
            | ~ big_f(X3,X5)
            | ~ big_f(X2,X4) )
        | ~ big_d(X2,X3,X1) )
    & ? [X6] :
      ! [X7] :
      ? [X8] :
      ! [X9] :
        ( big_d(X9,X6,X7)
        | ~ big_s(X8,X9) )
    & ! [X10] :
      ? [X11] : big_f(X10,X11) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X0] :
          ? [X1] :
          ! [X2,X3] :
            ( big_d(X2,X3,X1)
           => ! [X4,X5] :
                ( ( big_f(X3,X5)
                  & big_f(X2,X4) )
               => big_d(X4,X5,X0) ) )
        & ? [X6] :
          ! [X7] :
          ? [X8] :
          ! [X9] :
            ( big_s(X8,X9)
           => big_d(X9,X6,X7) )
        & ! [X10] :
          ? [X11] : big_f(X10,X11) )
     => ? [X12] :
        ! [X13] :
        ? [X14] :
        ! [X15] :
          ( big_s(X14,X15)
         => ! [X16] :
              ( big_f(X15,X16)
             => big_d(X16,X12,X13) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X2] :
          ? [X5] :
          ! [X6,X7] :
            ( big_d(X6,X7,X5)
           => ! [X1,X8] :
                ( ( big_f(X7,X8)
                  & big_f(X6,X1) )
               => big_d(X1,X8,X2) ) )
        & ? [X0] :
          ! [X2] :
          ? [X3] :
          ! [X4] :
            ( big_s(X3,X4)
           => big_d(X4,X0,X2) )
        & ! [X0] :
          ? [X1] : big_f(X0,X1) )
     => ? [X1] :
        ! [X2] :
        ? [X9] :
        ! [X4] :
          ( big_s(X9,X4)
         => ! [X8] :
              ( big_f(X4,X8)
             => big_d(X8,X1,X2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X2] :
        ? [X5] :
        ! [X6,X7] :
          ( big_d(X6,X7,X5)
         => ! [X1,X8] :
              ( ( big_f(X7,X8)
                & big_f(X6,X1) )
             => big_d(X1,X8,X2) ) )
      & ? [X0] :
        ! [X2] :
        ? [X3] :
        ! [X4] :
          ( big_s(X3,X4)
         => big_d(X4,X0,X2) )
      & ! [X0] :
        ? [X1] : big_f(X0,X1) )
   => ? [X1] :
      ! [X2] :
      ? [X9] :
      ! [X4] :
        ( big_s(X9,X4)
       => ! [X8] :
            ( big_f(X4,X8)
           => big_d(X8,X1,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9kW2UDQ86R/Vampire---4.8_12060',x2138) ).

fof(f9,plain,
    ! [X14,X12] : big_s(X14,sK5(X12,X14)),
    inference(cnf_transformation,[],[f5]) ).

fof(f6,plain,
    ! [X14,X12] : big_f(sK5(X12,X14),sK6(X12,X14)),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X0,X1] : ~ sP7(sK6(sK1(X0),X1),sK3(sK1(X0)),X0),
    inference(unit_resulting_resolution,[],[f11,f7,f13]) ).

fof(f13,plain,
    ! [X3,X0,X4,X5] :
      ( ~ sP7(X4,X0,X3)
      | big_d(X4,X5,X0)
      | ~ big_f(X3,X5) ),
    inference(general_splitting,[],[f8,f12_D]) ).

fof(f8,plain,
    ! [X2,X3,X0,X4,X5] :
      ( ~ big_d(X2,X3,sK2(X0))
      | ~ big_f(X2,X4)
      | ~ big_f(X3,X5)
      | big_d(X4,X5,X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X14,X12] : ~ big_d(sK6(X12,X14),X12,sK3(X12)),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X10] : big_f(X10,sK1(X10)),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n023.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 17:36:55 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37  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.9kW2UDQ86R/Vampire---4.8_12060
% 0.56/0.76  % (12338)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 (2996ds/83Mi)
% 0.56/0.76  % (12331)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 (2996ds/34Mi)
% 0.56/0.76  % (12338)First to succeed.
% 0.56/0.76  % (12334)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76  % (12333)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (12332)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 (2996ds/51Mi)
% 0.56/0.76  % (12335)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 (2996ds/34Mi)
% 0.56/0.76  % (12337)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (12338)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (12338)------------------------------
% 0.56/0.76  % (12338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (12338)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (12338)Memory used [KB]: 962
% 0.56/0.76  % (12338)Time elapsed: 0.002 s
% 0.56/0.76  % (12338)Instructions burned: 3 (million)
% 0.56/0.76  % (12338)------------------------------
% 0.56/0.76  % (12338)------------------------------
% 0.56/0.76  % (12326)Success in time 0.389 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------