TSTP Solution File: KRS265+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS265+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n025.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 07:18:33 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (  10 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   86 (  36   ~;  25   |;  14   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   78 (  62   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(subsumption_resolution,[],[f102,f94]) ).

fof(f94,plain,
    ! [X1] : ~ model(X1,sK15),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1] : ~ model(X1,sK15),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f40,f68]) ).

fof(f68,plain,
    ( ? [X0] :
      ! [X1] : ~ model(X1,X0)
   => ! [X1] : ~ model(X1,sK15) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0] :
    ! [X1] : ~ model(X1,X0),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ? [X9] :
    ! [X8] : ~ model(X8,X9),
    file('/export/starexec/sandbox2/tmp/tmp.FlvmHq3yer/Vampire---4.8_15006',contradiction) ).

fof(f102,plain,
    model(sK1(sK15),sK15),
    inference(resolution,[],[f100,f94]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( model(sK0(X0,X1),X0)
      | model(sK1(X0),X0) ),
    inference(resolution,[],[f99,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( status(X0,X1,thm)
      | model(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ( ~ model(sK0(X0,X1),X1)
          & model(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ model(X3,X1)
          & model(X3,X0) )
     => ( ~ model(sK0(X0,X1),X1)
        & model(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ? [X3] :
            ( ~ model(X3,X1)
            & model(X3,X0) ) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ? [X2] :
            ( ~ model(X2,X1)
            & model(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X1)
          | ~ model(X2,X0) )
    <=> status(X0,X1,thm) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X0)
         => model(X2,X1) )
    <=> status(X0,X1,thm) ),
    file('/export/starexec/sandbox2/tmp/tmp.FlvmHq3yer/Vampire---4.8_15006',thm) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,thm)
      | model(sK1(X0),X0) ),
    inference(resolution,[],[f98,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( status(X0,X1,cax)
      | model(sK1(X0),X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( ! [X2] : ~ model(X2,X0)
        | ~ status(X0,X1,cax) )
      & ( status(X0,X1,cax)
        | model(sK1(X0),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f53,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X3] : model(X3,X0)
     => model(sK1(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( ! [X2] : ~ model(X2,X0)
        | ~ status(X0,X1,cax) )
      & ( status(X0,X1,cax)
        | ? [X3] : model(X3,X0) ) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ! [X2] : ~ model(X2,X0)
        | ~ status(X0,X1,cax) )
      & ( status(X0,X1,cax)
        | ? [X2] : model(X2,X0) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ! [X2] : ~ model(X2,X0)
    <=> status(X0,X1,cax) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ ? [X2] : model(X2,X0)
    <=> status(X0,X1,cax) ),
    file('/export/starexec/sandbox2/tmp/tmp.FlvmHq3yer/Vampire---4.8_15006',cax) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,cax)
      | ~ status(X0,X1,thm) ),
    inference(resolution,[],[f76,f77]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1] :
      ( mighta(X0,X1)
      | ~ status(X2,X3,X1)
      | ~ status(X2,X3,X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( mighta(X0,X1)
      | ! [X2,X3] :
          ( ~ status(X2,X3,X1)
          | ~ status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X2,X3,X1)
          & status(X2,X3,X0) )
     => mighta(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X2,X3,X1)
          & status(X2,X3,X0) )
    <=> mighta(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X6,X7] :
      ( ? [X0,X1] :
          ( status(X0,X1,X7)
          & status(X0,X1,X6) )
    <=> mighta(X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.FlvmHq3yer/Vampire---4.8_15006',mighta) ).

fof(f76,plain,
    ~ mighta(cax,thm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ mighta(cax,thm),
    inference(flattening,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ mighta(cax,thm),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    mighta(cax,thm),
    file('/export/starexec/sandbox2/tmp/tmp.FlvmHq3yer/Vampire---4.8_15006',mighta_cax_thm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS265+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n025.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   : Fri May  3 19:53:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  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.FlvmHq3yer/Vampire---4.8_15006
% 0.54/0.74  % (15344)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)
% 0.54/0.74  % (15337)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)
% 0.54/0.74  % (15344)First to succeed.
% 0.54/0.74  % (15339)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (15340)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)
% 0.54/0.74  % (15338)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)
% 0.54/0.74  % (15342)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)
% 0.54/0.74  % (15341)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)
% 0.54/0.74  % (15343)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)
% 0.54/0.74  % (15344)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15189"
% 0.54/0.74  % (15344)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for Vampire---4
% 0.54/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74  % (15344)------------------------------
% 0.54/0.74  % (15344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (15344)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (15344)Memory used [KB]: 1072
% 0.54/0.74  % (15344)Time elapsed: 0.002 s
% 0.54/0.74  % (15344)Instructions burned: 4 (million)
% 0.54/0.74  % (15189)Success in time 0.385 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------