TSTP Solution File: KRS092+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS092+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : 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 : Sun May  5 07:17:49 EDT 2024

% Result   : Unsatisfiable 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   4 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   69 (  25   ~;  19   |;  15   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   34 (  28   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(resolution,[],[f34,f27]) ).

fof(f27,plain,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    file('/export/starexec/sandbox2/tmp/tmp.SDsjmB1lEm/Vampire---4.8_13424',axiom_8) ).

fof(f34,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f32,f29]) ).

fof(f29,plain,
    ! [X0] :
      ( cd(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cd(sK0(X0))
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f24,f23]) ).

fof(f23,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( cc(X1)
              & cd(X1) )
            | ~ rr(X0,X1) )
        & rr(X0,sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ? [X2] : rr(X0,X2)
     => rr(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( cc(X1)
              & cd(X1) )
            | ~ rr(X0,X1) )
        & ? [X2] : rr(X0,X2) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] : rr(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.SDsjmB1lEm/Vampire---4.8_13424',axiom_2) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | cd(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ cd(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f31,f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.SDsjmB1lEm/Vampire---4.8_13424',axiom_3) ).

fof(f31,plain,
    ! [X0] :
      ( cc(sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( cc(sK0(X0))
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f25,f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | cc(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS092+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:51:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_UNS_RFO_NEQ problem
% 0.14/0.37  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.SDsjmB1lEm/Vampire---4.8_13424
% 0.55/0.73  % (13758)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)
% 0.55/0.73  % (13758)Refutation not found, incomplete strategy% (13758)------------------------------
% 0.55/0.73  % (13758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13758)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13758)Memory used [KB]: 944
% 0.55/0.73  % (13758)Time elapsed: 0.001 s
% 0.55/0.73  % (13758)Instructions burned: 2 (million)
% 0.55/0.73  % (13758)------------------------------
% 0.55/0.73  % (13758)------------------------------
% 0.55/0.73  % (13751)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)
% 0.55/0.73  % (13753)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (13754)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)
% 0.55/0.73  % (13752)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)
% 0.55/0.73  % (13755)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)
% 0.55/0.73  % (13756)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)
% 0.55/0.73  % (13757)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)
% 0.55/0.73  % (13751)Refutation not found, incomplete strategy% (13751)------------------------------
% 0.55/0.73  % (13751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13751)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13753)Refutation not found, incomplete strategy% (13753)------------------------------
% 0.55/0.73  % (13753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13753)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13753)Memory used [KB]: 943
% 0.55/0.73  % (13753)Time elapsed: 0.002 s
% 0.55/0.73  % (13753)Instructions burned: 2 (million)
% 0.55/0.73  % (13754)Refutation not found, incomplete strategy% (13754)------------------------------
% 0.55/0.73  % (13754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13751)Memory used [KB]: 944
% 0.55/0.73  % (13751)Time elapsed: 0.002 s
% 0.55/0.73  % (13751)Instructions burned: 2 (million)
% 0.55/0.73  % (13754)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13756)Refutation not found, incomplete strategy% (13756)------------------------------
% 0.55/0.73  % (13756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13756)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13756)Memory used [KB]: 944
% 0.55/0.73  % (13756)Time elapsed: 0.002 s
% 0.55/0.73  % (13756)Instructions burned: 2 (million)
% 0.55/0.73  % (13754)Memory used [KB]: 944
% 0.55/0.73  % (13754)Time elapsed: 0.002 s
% 0.55/0.73  % (13754)Instructions burned: 2 (million)
% 0.55/0.73  % (13757)Refutation not found, incomplete strategy% (13757)------------------------------
% 0.55/0.73  % (13757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13753)------------------------------
% 0.55/0.73  % (13753)------------------------------
% 0.55/0.73  % (13757)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13751)------------------------------
% 0.55/0.73  % (13751)------------------------------
% 0.55/0.73  % (13757)Memory used [KB]: 944
% 0.55/0.73  % (13757)Time elapsed: 0.002 s
% 0.55/0.73  % (13757)Instructions burned: 2 (million)
% 0.55/0.73  % (13756)------------------------------
% 0.55/0.73  % (13756)------------------------------
% 0.55/0.73  % (13755)Refutation not found, incomplete strategy% (13755)------------------------------
% 0.55/0.73  % (13755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13755)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (13755)Memory used [KB]: 949
% 0.55/0.73  % (13754)------------------------------
% 0.55/0.73  % (13754)------------------------------
% 0.55/0.73  % (13755)Time elapsed: 0.002 s
% 0.55/0.73  % (13755)Instructions burned: 2 (million)
% 0.55/0.73  % (13757)------------------------------
% 0.55/0.73  % (13757)------------------------------
% 0.55/0.73  % (13752)First to succeed.
% 0.55/0.73  % (13755)------------------------------
% 0.55/0.73  % (13755)------------------------------
% 0.55/0.73  % (13752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13606"
% 0.55/0.73  % (13760)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)
% 0.55/0.73  % (13752)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73  % (13752)------------------------------
% 0.55/0.73  % (13752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (13752)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (13752)Memory used [KB]: 964
% 0.55/0.73  % (13752)Time elapsed: 0.003 s
% 0.55/0.73  % (13752)Instructions burned: 2 (million)
% 0.55/0.73  % (13606)Success in time 0.359 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------