TSTP Solution File: SYN384+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN384+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 : n017.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 : Sun May  5 11:57:09 EDT 2024

% Result   : Theorem 0.56s 0.72s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   8   ~;   0   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   28 (  18   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X1] : big_p(X1,X2,sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X1,X2] :
      ( ~ big_p(sK1(X1,X2),X1,X1)
      & big_p(X1,X2,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f3,f5,f4]) ).

fof(f4,plain,
    ( ? [X0] :
      ! [X1,X2] :
      ? [X3] :
        ( ~ big_p(X3,X1,X1)
        & big_p(X1,X2,X0) )
   => ! [X2,X1] :
      ? [X3] :
        ( ~ big_p(X3,X1,X1)
        & big_p(X1,X2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( ~ big_p(X3,X1,X1)
          & big_p(X1,X2,sK0) )
     => ( ~ big_p(sK1(X1,X2),X1,X1)
        & big_p(X1,X2,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ? [X0] :
    ! [X1,X2] :
    ? [X3] :
      ( ~ big_p(X3,X1,X1)
      & big_p(X1,X2,X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1,X2] :
      ! [X3] :
        ( big_p(X1,X2,X0)
       => big_p(X3,X1,X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
    ? [X1,X2] :
    ! [X3] :
      ( big_p(X1,X2,X0)
     => big_p(X3,X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.lrliPZAISJ/Vampire---4.8_32553',x2136) ).

fof(f8,plain,
    ! [X2,X1] : ~ big_p(sK1(X1,X2),X1,X1),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN384+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13  % 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
% 0.13/0.31  % Computer : n017.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Fri May  3 17:15:08 EDT 2024
% 0.13/0.32  % CPUTime    : 
% 0.13/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.32  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.lrliPZAISJ/Vampire---4.8_32553
% 0.56/0.72  % (32742)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)
% 0.56/0.72  % (32744)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)
% 0.56/0.72  % (32744)Also succeeded, but the first one will report.
% 0.56/0.72  % (32742)First to succeed.
% 0.56/0.72  % (32742)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32702"
% 0.56/0.72  % (32738)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.72  % (32736)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)
% 0.56/0.72  % (32740)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)
% 0.56/0.72  % (32737)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)
% 0.56/0.72  % (32741)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)
% 0.56/0.72  % (32743)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)
% 0.56/0.72  % (32742)Refutation found. Thanks to Tanya!
% 0.56/0.72  % SZS status Theorem for Vampire---4
% 0.56/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.72  % (32742)------------------------------
% 0.56/0.72  % (32742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (32742)Termination reason: Refutation
% 0.56/0.72  
% 0.56/0.72  % (32742)Memory used [KB]: 956
% 0.56/0.72  % (32742)Time elapsed: 0.002 s
% 0.56/0.72  % (32742)Instructions burned: 2 (million)
% 0.56/0.72  % (32702)Success in time 0.39 s
% 0.56/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------