TSTP Solution File: SYN372+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN372+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 : n031.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 04:34:10 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   46 (  17   ~;   8   |;  10   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  10   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X1] : big_p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X1] :
        ( ~ big_q(X1)
        & big_p(X1) )
    & ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ~ big_q(X1)
            & big_p(X1) )
        & ? [X2] :
            ( big_q(X0)
            | ~ big_p(X2) ) )
   => ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(sK0)
          | ~ big_p(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] :
        ( big_q(sK0)
        | ~ big_p(X2) )
   => ( big_q(sK0)
      | ~ big_p(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ big_q(X1)
          & big_p(X1) )
      & ? [X2] :
          ( big_q(X0)
          | ~ big_p(X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ big_q(X2)
          & big_p(X2) )
      & ? [X1] :
          ( big_q(X0)
          | ~ big_p(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X0] :
        ( ? [X1] :
            ( big_p(X1)
           => big_q(X0) )
       => ? [X2] :
            ( big_p(X2)
           => big_q(X2) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f1,conjecture,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X1)
         => big_q(X0) )
     => ? [X1] :
          ( big_p(X1)
         => big_q(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.IwMecmbkJN/Vampire---4.8_22089',x2123) ).

fof(f12,plain,
    ~ big_p(sK1),
    inference(subsumption_resolution,[],[f9,f11]) ).

fof(f11,plain,
    ! [X1] : ~ big_q(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f9,plain,
    ( big_q(sK0)
    | ~ big_p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN372+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 : n031.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 17:57:59 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.IwMecmbkJN/Vampire---4.8_22089
% 0.56/0.74  % (22353)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)
% 0.56/0.74  % (22353)First to succeed.
% 0.56/0.74  % (22346)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)
% 0.56/0.74  % (22348)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (22347)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)
% 0.56/0.74  % (22350)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)
% 0.56/0.74  % (22351)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)
% 0.56/0.74  % (22349)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)
% 0.56/0.75  % (22353)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (22353)------------------------------
% 0.56/0.75  % (22353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (22353)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (22353)Memory used [KB]: 953
% 0.56/0.75  % (22353)Time elapsed: 0.002 s
% 0.56/0.75  % (22353)Instructions burned: 2 (million)
% 0.56/0.75  % (22353)------------------------------
% 0.56/0.75  % (22353)------------------------------
% 0.56/0.75  % (22342)Success in time 0.378 s
% 0.56/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.75  22342 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.IwMecmbkJN/Vampire---4.8_22089
% 0.56/0.75  % (22342)------------------------------
% 0.56/0.75  % (22342)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (22342)Termination reason: Unknown
% 0.56/0.75  % (22342)Termination phase: Unknown
% 0.56/0.75  
% 0.56/0.75  % (22342)Memory used [KB]: 438
% 0.56/0.75  % (22342)Time elapsed: 0.378 s
% 0.56/0.75  % (22342)Instructions burned: 952 (million)
% 0.56/0.75  % (22342)------------------------------
% 0.56/0.75  % (22342)------------------------------
% 0.56/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  ???
% 0.56/0.75   ???
% 0.56/0.75    ???
% 0.56/0.75     ???
% 0.56/0.75      ???
% 0.56/0.75       ???
% 0.56/0.75        ???
% 0.56/0.75         ???
% 0.56/0.75          ???
% 0.56/0.75           ???
% 0.56/0.75            ???
% 0.56/0.75             ???
% 0.56/0.75              ???
% 0.56/0.75               ???
% 0.56/0.75                ???
% 0.56/0.75                 ???
% 0.56/0.75                  ???
% 0.56/0.75                   ???
% 0.56/0.75                    ???
% 0.56/0.75                     ???
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------