TSTP Solution File: KRS179+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS179+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 07:18:07 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   68 (  25   ~;  14   |;  21   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   54 (  39   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f36]) ).

fof(f36,plain,
    status(sK3(sK0,sK2),sK4(sK0,sK2),sK1),
    inference(unit_resulting_resolution,[],[f26,f32,f31]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( status(X2,X3,X1)
      | ~ status(X2,X3,X0)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( status(X2,X3,X1)
            | ~ status(X2,X3,X0) )
        | ~ isa(X0,X1) )
      & ( isa(X0,X1)
        | ( ~ status(sK3(X0,X1),sK4(X0,X1),X1)
          & status(sK3(X0,X1),sK4(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f23,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ? [X4,X5] :
          ( ~ status(X4,X5,X1)
          & status(X4,X5,X0) )
     => ( ~ status(sK3(X0,X1),sK4(X0,X1),X1)
        & status(sK3(X0,X1),sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( status(X2,X3,X1)
            | ~ status(X2,X3,X0) )
        | ~ isa(X0,X1) )
      & ( isa(X0,X1)
        | ? [X4,X5] :
            ( ~ status(X4,X5,X1)
            & status(X4,X5,X0) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( status(X2,X3,X1)
            | ~ status(X2,X3,X0) )
        | ~ isa(X0,X1) )
      & ( isa(X0,X1)
        | ? [X2,X3] :
            ( ~ status(X2,X3,X1)
            & status(X2,X3,X0) ) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X1)
          | ~ status(X2,X3,X0) )
    <=> isa(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ! [X2,X3] :
          ( status(X2,X3,X0)
         => status(X2,X3,X1) )
    <=> isa(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.9MLgb4iLcI/Vampire---4.8_18503',isa) ).

fof(f32,plain,
    status(sK3(sK0,sK2),sK4(sK0,sK2),sK0),
    inference(unit_resulting_resolution,[],[f28,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( status(sK3(X0,X1),sK4(X0,X1),X0)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f28,plain,
    ~ isa(sK0,sK2),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ~ isa(sK0,sK2)
    & isa(sK1,sK2)
    & isa(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f20]) ).

fof(f20,plain,
    ( ? [X0,X1,X2] :
        ( ~ isa(X0,X2)
        & isa(X1,X2)
        & isa(X0,X1) )
   => ( ~ isa(sK0,sK2)
      & isa(sK1,sK2)
      & isa(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ~ isa(X0,X2)
      & isa(X1,X2)
      & isa(X0,X1) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ~ isa(X0,X2)
      & isa(X1,X2)
      & isa(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ~ ! [X0,X1,X2] :
        ( ( isa(X1,X2)
          & isa(X0,X1) )
       => isa(X0,X2) ),
    inference(rectify,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X10] :
        ( ( isa(X1,X10)
          & isa(X0,X1) )
       => isa(X0,X10) ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0,X1,X10] :
      ( ( isa(X1,X10)
        & isa(X0,X1) )
     => isa(X0,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.9MLgb4iLcI/Vampire---4.8_18503',isa_transitive) ).

fof(f26,plain,
    isa(sK0,sK1),
    inference(cnf_transformation,[],[f21]) ).

fof(f39,plain,
    ~ status(sK3(sK0,sK2),sK4(sK0,sK2),sK1),
    inference(unit_resulting_resolution,[],[f27,f33,f31]) ).

fof(f33,plain,
    ~ status(sK3(sK0,sK2),sK4(sK0,sK2),sK2),
    inference(unit_resulting_resolution,[],[f28,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ status(sK3(X0,X1),sK4(X0,X1),X1)
      | isa(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f27,plain,
    isa(sK1,sK2),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n006.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 19:50:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36  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.9MLgb4iLcI/Vampire---4.8_18503
% 0.56/0.74  % (18906)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  % (18906)Refutation not found, incomplete strategy% (18906)------------------------------
% 0.56/0.74  % (18906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (18906)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18906)Memory used [KB]: 961
% 0.56/0.74  % (18906)Time elapsed: 0.002 s
% 0.56/0.74  % (18906)Instructions burned: 2 (million)
% 0.56/0.74  % (18906)------------------------------
% 0.56/0.74  % (18906)------------------------------
% 0.56/0.74  % (18902)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)
% 0.56/0.74  % (18898)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  % (18899)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  % (18900)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  % (18904)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  % (18903)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  % (18905)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)
% 0.56/0.75  % (18904)Refutation not found, incomplete strategy% (18904)------------------------------
% 0.56/0.75  % (18904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18904)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18904)Memory used [KB]: 961
% 0.56/0.75  % (18904)Time elapsed: 0.002 s
% 0.56/0.75  % (18904)Instructions burned: 2 (million)
% 0.56/0.75  % (18902)First to succeed.
% 0.56/0.75  % (18903)Refutation not found, incomplete strategy% (18903)------------------------------
% 0.56/0.75  % (18903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18903)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18903)Memory used [KB]: 1037
% 0.56/0.75  % (18903)Time elapsed: 0.003 s
% 0.56/0.75  % (18900)Also succeeded, but the first one will report.
% 0.56/0.75  % (18903)Instructions burned: 3 (million)
% 0.56/0.75  % (18898)Also succeeded, but the first one will report.
% 0.56/0.75  % (18904)------------------------------
% 0.56/0.75  % (18904)------------------------------
% 0.56/0.75  % (18905)Also succeeded, but the first one will report.
% 0.56/0.75  % (18903)------------------------------
% 0.56/0.75  % (18903)------------------------------
% 0.56/0.75  % (18899)Also succeeded, but the first one will report.
% 0.56/0.75  % (18902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18747"
% 0.56/0.75  % (18909)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 (2996ds/55Mi)
% 0.56/0.75  % (18902)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  % (18902)------------------------------
% 0.56/0.75  % (18902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (18902)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (18902)Memory used [KB]: 988
% 0.56/0.75  % (18902)Time elapsed: 0.003 s
% 0.56/0.75  % (18902)Instructions burned: 3 (million)
% 0.56/0.75  % (18747)Success in time 0.381 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------