TSTP Solution File: SWW302+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n019.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 04:18:02 EDT 2024

% Result   : Theorem 1.14s 1.37s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   51 (  19   ~;   9   |;  10   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  27   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5257,plain,
    $false,
    inference(subsumption_resolution,[],[f5256,f5255]) ).

fof(f5255,plain,
    v_Q_H(sK0,sK2),
    inference(resolution,[],[f5253,f5252]) ).

fof(f5252,plain,
    v_P(sK0,sK1),
    inference(cnf_transformation,[],[f5250]) ).

fof(f5250,plain,
    ( ~ v_Q(sK0,sK2)
    & ! [X3] :
        ( v_Q_H(X3,sK2)
        | ~ v_P(X3,sK1) )
    & v_P(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5247,f5249,f5248]) ).

fof(f5248,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ v_Q(X0,X2)
            & ! [X3] :
                ( v_Q_H(X3,X2)
                | ~ v_P(X3,X1) ) )
        & v_P(X0,X1) )
   => ( ? [X2] :
          ( ~ v_Q(sK0,X2)
          & ! [X3] :
              ( v_Q_H(X3,X2)
              | ~ v_P(X3,sK1) ) )
      & v_P(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f5249,plain,
    ( ? [X2] :
        ( ~ v_Q(sK0,X2)
        & ! [X3] :
            ( v_Q_H(X3,X2)
            | ~ v_P(X3,sK1) ) )
   => ( ~ v_Q(sK0,sK2)
      & ! [X3] :
          ( v_Q_H(X3,sK2)
          | ~ v_P(X3,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5247,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( ~ v_Q(X0,X2)
          & ! [X3] :
              ( v_Q_H(X3,X2)
              | ~ v_P(X3,X1) ) )
      & v_P(X0,X1) ),
    inference(ennf_transformation,[],[f5245]) ).

fof(f5245,plain,
    ~ ! [X0,X1] :
        ( v_P(X0,X1)
       => ! [X2] :
            ( ! [X3] :
                ( v_P(X3,X1)
               => v_Q_H(X3,X2) )
           => v_Q(X0,X2) ) ),
    inference(rectify,[],[f5243]) ).

fof(f5243,negated_conjecture,
    ~ ! [X281,X282] :
        ( v_P(X281,X282)
       => ! [X283] :
            ( ! [X284] :
                ( v_P(X284,X282)
               => v_Q_H(X284,X283) )
           => v_Q(X281,X283) ) ),
    inference(negated_conjecture,[],[f5242]) ).

fof(f5242,conjecture,
    ! [X281,X282] :
      ( v_P(X281,X282)
     => ! [X283] :
          ( ! [X284] :
              ( v_P(X284,X282)
             => v_Q_H(X284,X283) )
         => v_Q(X281,X283) ) ),
    file('/export/starexec/sandbox/tmp/tmp.EOcva2ESye/Vampire---4.8_1715',conj_1) ).

fof(f5253,plain,
    ! [X3] :
      ( ~ v_P(X3,sK1)
      | v_Q_H(X3,sK2) ),
    inference(cnf_transformation,[],[f5250]) ).

fof(f5256,plain,
    ~ v_Q_H(sK0,sK2),
    inference(resolution,[],[f5251,f5254]) ).

fof(f5254,plain,
    ~ v_Q(sK0,sK2),
    inference(cnf_transformation,[],[f5250]) ).

fof(f5251,plain,
    ! [X0,X1] :
      ( v_Q(X0,X1)
      | ~ v_Q_H(X0,X1) ),
    inference(cnf_transformation,[],[f5246]) ).

fof(f5246,plain,
    ! [X0,X1] :
      ( v_Q(X0,X1)
      | ~ v_Q_H(X0,X1) ),
    inference(ennf_transformation,[],[f5244]) ).

fof(f5244,plain,
    ! [X0,X1] :
      ( v_Q_H(X0,X1)
     => v_Q(X0,X1) ),
    inference(rectify,[],[f5241]) ).

fof(f5241,axiom,
    ! [X281,X282] :
      ( v_Q_H(X281,X282)
     => v_Q(X281,X282) ),
    file('/export/starexec/sandbox/tmp/tmp.EOcva2ESye/Vampire---4.8_1715',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW302+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.12  % 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
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:53:59 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  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.EOcva2ESye/Vampire---4.8_1715
% 1.14/1.34  % (1841)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 (2989ds/34Mi)
% 1.14/1.34  % (1842)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 (2989ds/51Mi)
% 1.14/1.34  % (1844)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2989ds/78Mi)
% 1.14/1.34  % (1845)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2989ds/33Mi)
% 1.14/1.35  % (1846)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 (2989ds/34Mi)
% 1.14/1.35  % (1847)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2989ds/45Mi)
% 1.14/1.35  % (1849)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 (2989ds/56Mi)
% 1.14/1.35  % (1848)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 (2989ds/83Mi)
% 1.14/1.36  % (1841)Instruction limit reached!
% 1.14/1.36  % (1841)------------------------------
% 1.14/1.36  % (1841)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36  % (1841)Termination reason: Unknown
% 1.14/1.36  % (1841)Termination phase: SInE selection
% 1.14/1.36  
% 1.14/1.36  % (1841)Memory used [KB]: 6143
% 1.14/1.36  % (1841)Time elapsed: 0.018 s
% 1.14/1.36  % (1841)Instructions burned: 35 (million)
% 1.14/1.36  % (1841)------------------------------
% 1.14/1.36  % (1841)------------------------------
% 1.14/1.36  % (1845)Instruction limit reached!
% 1.14/1.36  % (1845)------------------------------
% 1.14/1.36  % (1845)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36  % (1845)Termination reason: Unknown
% 1.14/1.36  % (1845)Termination phase: SInE selection
% 1.14/1.36  
% 1.14/1.36  % (1845)Memory used [KB]: 6143
% 1.14/1.36  % (1845)Time elapsed: 0.018 s
% 1.14/1.36  % (1845)Instructions burned: 34 (million)
% 1.14/1.36  % (1845)------------------------------
% 1.14/1.36  % (1845)------------------------------
% 1.14/1.36  % (1846)Instruction limit reached!
% 1.14/1.36  % (1846)------------------------------
% 1.14/1.36  % (1846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.36  % (1846)Termination reason: Unknown
% 1.14/1.36  % (1846)Termination phase: SInE selection
% 1.14/1.36  
% 1.14/1.36  % (1846)Memory used [KB]: 6143
% 1.14/1.36  % (1846)Time elapsed: 0.018 s
% 1.14/1.36  % (1846)Instructions burned: 34 (million)
% 1.14/1.36  % (1846)------------------------------
% 1.14/1.36  % (1846)------------------------------
% 1.14/1.36  % (1847)First to succeed.
% 1.14/1.36  % (1850)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2989ds/55Mi)
% 1.14/1.36  % (1851)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2989ds/50Mi)
% 1.14/1.36  % (1852)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2989ds/208Mi)
% 1.14/1.36  % (1844)Also succeeded, but the first one will report.
% 1.14/1.37  % (1849)Also succeeded, but the first one will report.
% 1.14/1.37  % (1847)Refutation found. Thanks to Tanya!
% 1.14/1.37  % SZS status Theorem for Vampire---4
% 1.14/1.37  % SZS output start Proof for Vampire---4
% See solution above
% 1.14/1.37  % (1847)------------------------------
% 1.14/1.37  % (1847)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.14/1.37  % (1847)Termination reason: Refutation
% 1.14/1.37  
% 1.14/1.37  % (1847)Memory used [KB]: 6177
% 1.14/1.37  % (1847)Time elapsed: 0.021 s
% 1.14/1.37  % (1847)Instructions burned: 38 (million)
% 1.14/1.37  % (1847)------------------------------
% 1.14/1.37  % (1847)------------------------------
% 1.14/1.37  % (1831)Success in time 1.034 s
% 1.14/1.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------