TSTP Solution File: NUM561+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM561+1 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 01:43:16 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   53 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   48 (  20   ~;  16   |;   4   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(subsumption_resolution,[],[f140,f121]) ).

fof(f121,plain,
    ! [X0] : sP1(sdtlpdtrp0(X0,xx),szDzozmdt0(xF),X0),
    inference(unit_resulting_resolution,[],[f92,f116]) ).

fof(f116,plain,
    ! [X0,X1,X4] :
      ( sP1(sdtlpdtrp0(X0,X4),X1,X0)
      | ~ aElementOf0(X4,X1) ),
    inference(equality_resolution,[],[f96]) ).

fof(f96,plain,
    ! [X3,X0,X1,X4] :
      ( ~ aElementOf0(X4,X1)
      | sdtlpdtrp0(X0,X4) != X3
      | sP1(X3,X1,X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) )
          | ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,szDzozmdt0(X0))
         => ! [X2] :
              ( sdtlcdtrc0(X0,X1) = X2
            <=> ( ! [X3] :
                    ( aElementOf0(X3,X2)
                  <=> ? [X4] :
                        ( sdtlpdtrp0(X0,X4) = X3
                        & aElementOf0(X4,X1) ) )
                & aSet0(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).

fof(f92,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,axiom,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).

fof(f140,plain,
    ~ sP1(sdtlpdtrp0(xF,xx),szDzozmdt0(xF),xF),
    inference(unit_resulting_resolution,[],[f91,f118,f93,f115]) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( aElementOf0(X3,sdtlcdtrc0(X0,X1))
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ sP1(X3,X1,X0)
      | ~ aFunction0(X0) ),
    inference(equality_resolution,[],[f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aFunction0(X0)
      | ~ aSubsetOf0(X1,szDzozmdt0(X0))
      | ~ sP1(X3,X1,X0)
      | aElementOf0(X3,X2)
      | sdtlcdtrc0(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f93,plain,
    ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
    inference(flattening,[],[f72]) ).

fof(f72,negated_conjecture,
    ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
    inference(negated_conjecture,[],[f71]) ).

fof(f71,conjecture,
    aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f118,plain,
    aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
    inference(unit_resulting_resolution,[],[f117,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aSet0(X0)
     => aSubsetOf0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

fof(f117,plain,
    aSet0(szDzozmdt0(xF)),
    inference(unit_resulting_resolution,[],[f91,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( aSet0(szDzozmdt0(X0))
      | ~ aFunction0(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0] :
      ( aFunction0(X0)
     => aSet0(szDzozmdt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).

fof(f91,plain,
    aFunction0(xF),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    aFunction0(xF),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : NUM561+1 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14  % 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
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 04:33:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.54/0.73  % (14489)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 theBenchmark for (2996ds/83Mi)
% 0.54/0.73  % (14483)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.73  % (14485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.73  % (14486)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.73  % (14484)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 theBenchmark for (2996ds/51Mi)
% 0.54/0.73  % (14487)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.74  % (14489)First to succeed.
% 0.54/0.74  % (14486)Refutation not found, incomplete strategy% (14486)------------------------------
% 0.54/0.74  % (14486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14486)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (14486)Memory used [KB]: 1024
% 0.54/0.74  % (14486)Time elapsed: 0.002 s
% 0.54/0.74  % (14489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14481"
% 0.54/0.74  % (14486)Instructions burned: 2 (million)
% 0.54/0.74  % (14486)------------------------------
% 0.54/0.74  % (14486)------------------------------
% 0.54/0.74  % (14490)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74  % (14489)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for theBenchmark
% 0.54/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.74  % (14489)------------------------------
% 0.54/0.74  % (14489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (14489)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (14489)Memory used [KB]: 1053
% 0.54/0.74  % (14489)Time elapsed: 0.003 s
% 0.54/0.74  % (14489)Instructions burned: 5 (million)
% 0.54/0.74  % (14481)Success in time 0.37 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------