TSTP Solution File: SYN346+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN346+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 04:34:04 EDT 2024

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :   95 (  37   ~;  20   |;  30   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   52 (  30   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    ! [X2,X1] : big_f(sK0,sK1(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X1,X2] :
      ( ( ~ big_f(X2,sK2(X1,X2))
        | ~ big_f(sK0,sK2(X1,X2)) )
      & ( ~ big_f(X2,sK1(X1,X2))
        | ~ big_f(X1,sK1(X1,X2)) )
      & big_f(X1,sK2(X1,X2))
      & big_f(sK0,sK1(X1,X2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X0] :
      ! [X1,X2] :
      ? [X3,X4] :
        ( ( ~ big_f(X2,X4)
          | ~ big_f(X0,X4) )
        & ( ~ big_f(X2,X3)
          | ~ big_f(X1,X3) )
        & big_f(X1,X4)
        & big_f(X0,X3) )
   => ! [X2,X1] :
      ? [X4,X3] :
        ( ( ~ big_f(X2,X4)
          | ~ big_f(sK0,X4) )
        & ( ~ big_f(X2,X3)
          | ~ big_f(X1,X3) )
        & big_f(X1,X4)
        & big_f(sK0,X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ! [X1,X2] :
      ( ? [X4,X3] :
          ( ( ~ big_f(X2,X4)
            | ~ big_f(sK0,X4) )
          & ( ~ big_f(X2,X3)
            | ~ big_f(X1,X3) )
          & big_f(X1,X4)
          & big_f(sK0,X3) )
     => ( ( ~ big_f(X2,sK2(X1,X2))
          | ~ big_f(sK0,sK2(X1,X2)) )
        & ( ~ big_f(X2,sK1(X1,X2))
          | ~ big_f(X1,sK1(X1,X2)) )
        & big_f(X1,sK2(X1,X2))
        & big_f(sK0,sK1(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] :
    ! [X1,X2] :
    ? [X3,X4] :
      ( ( ~ big_f(X2,X4)
        | ~ big_f(X0,X4) )
      & ( ~ big_f(X2,X3)
        | ~ big_f(X1,X3) )
      & big_f(X1,X4)
      & big_f(X0,X3) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ? [X1] :
    ! [X2,X3] :
    ? [X4,X5] :
      ( ( ~ big_f(X3,X5)
        | ~ big_f(X1,X5) )
      & ( ~ big_f(X3,X4)
        | ~ big_f(X2,X4) )
      & big_f(X2,X5)
      & big_f(X1,X4) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ? [X1] :
    ! [X2,X3] :
    ? [X4,X5] :
      ( ( ~ big_f(X3,X5)
        | ~ big_f(X1,X5) )
      & ( ~ big_f(X3,X4)
        | ~ big_f(X2,X4) )
      & big_f(X2,X5)
      & big_f(X1,X4) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X1] :
      ? [X2,X3] :
      ! [X4,X5] :
        ( big_f(X1,X4)
       => ( big_f(X2,X5)
         => ( ( big_f(X3,X5)
              & big_f(X1,X5) )
            | ( big_f(X3,X4)
              & big_f(X2,X4) ) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
      ? [X2,X3] :
      ! [X4,X5] :
        ( big_f(X1,X4)
       => ( big_f(X2,X5)
         => ( ( big_f(X3,X5)
              & big_f(X1,X5) )
            | ( big_f(X3,X4)
              & big_f(X2,X4) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1] :
    ? [X2,X3] :
    ! [X4,X5] :
      ( big_f(X1,X4)
     => ( big_f(X2,X5)
       => ( ( big_f(X3,X5)
            & big_f(X1,X5) )
          | ( big_f(X3,X4)
            & big_f(X2,X4) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hYXBKrup7m/Vampire---4.8_8878',church_46_17_2) ).

fof(f14,plain,
    ! [X0] : ~ big_f(X0,sK1(X0,sK0)),
    inference(resolution,[],[f12,f10]) ).

fof(f12,plain,
    ! [X2,X1] :
      ( ~ big_f(X2,sK1(X1,X2))
      | ~ big_f(X1,sK1(X1,X2)) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN346+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 17:23:36 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ 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.hYXBKrup7m/Vampire---4.8_8878
% 0.55/0.76  % (9078)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)
% 0.55/0.76  % (9080)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 (2996ds/56Mi)
% 0.55/0.76  % (9078)First to succeed.
% 0.55/0.76  % (9080)Also succeeded, but the first one will report.
% 0.55/0.76  % (9072)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)
% 0.55/0.76  % (9074)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (9073)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)
% 0.55/0.76  % (9076)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)
% 0.55/0.76  % (9077)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)
% 0.55/0.76  % (9079)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)
% 0.55/0.76  % (9078)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Theorem for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (9078)------------------------------
% 0.55/0.76  % (9078)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (9078)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (9078)Memory used [KB]: 958
% 0.55/0.76  % (9078)Time elapsed: 0.002 s
% 0.55/0.76  % (9078)Instructions burned: 2 (million)
% 0.55/0.76  % (9078)------------------------------
% 0.55/0.76  % (9078)------------------------------
% 0.55/0.76  % (9044)Success in time 0.387 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------