TSTP Solution File: KRS074+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS074+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 07:17:46 EDT 2024

% Result   : Unsatisfiable 0.61s 0.75s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  136 (  45   ~;  37   |;  46   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   53 (  33   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(resolution,[],[f170,f136]) ).

fof(f136,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    file('/export/starexec/sandbox/tmp/tmp.jsUcd88539/Vampire---4.8_29988',axiom_9) ).

fof(f170,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f168,f121]) ).

fof(f121,plain,
    ! [X0] :
      ( cp(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ( cp(sK0(X0))
          & rs(X0,sK0(X0)) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X4] :
              ( ~ cp(X4)
              | ~ rs(X0,X4) )
          & cp(sK2(X0))
          & rinvS(sK1(X0),sK2(X0))
          & cp(sK1(X0))
          & rs(X0,sK1(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f93,f92,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] :
          ( cp(X1)
          & rs(X0,X1) )
     => ( cp(sK0(X0))
        & rs(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X5] :
          ( ? [X6] :
              ( cp(X6)
              & rinvS(X5,X6) )
          & cp(X5)
          & rs(X0,X5) )
     => ( ? [X6] :
            ( cp(X6)
            & rinvS(sK1(X0),X6) )
        & cp(sK1(X0))
        & rs(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ? [X6] :
          ( cp(X6)
          & rinvS(sK1(X0),X6) )
     => ( cp(sK2(X0))
        & rinvS(sK1(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X4] :
              ( ~ cp(X4)
              | ~ rs(X0,X4) )
          & ? [X5] :
              ( ? [X6] :
                  ( cp(X6)
                  & rinvS(X5,X6) )
              & cp(X5)
              & rs(X0,X5) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X1] :
              ( ~ cp(X1)
              | ~ rs(X0,X1) )
          & ? [X2] :
              ( ? [X3] :
                  ( cp(X3)
                  & rinvS(X2,X3) )
              & cp(X2)
              & rs(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X1] :
              ( ~ cp(X1)
              | ~ rs(X0,X1) )
          & ? [X2] :
              ( ? [X3] :
                  ( cp(X3)
                  & rinvS(X2,X3) )
              & cp(X2)
              & rs(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        & ? [X2] :
            ( ? [X3] :
                ( cp(X3)
                & rinvS(X2,X3) )
            & cp(X2)
            & rs(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rs(X0,X1)
           => ~ cp(X1) )
        & ? [X2] :
            ( ? [X3] :
                ( cp(X3)
                & rinvS(X2,X3) )
            & cp(X2)
            & rs(X0,X2) ) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ! [X4] :
            ( rs(X3,X4)
           => ~ cp(X4) )
        & ? [X4] :
            ( ? [X5] :
                ( cp(X5)
                & rinvS(X4,X5) )
            & cp(X4)
            & rs(X3,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.jsUcd88539/Vampire---4.8_29988',axiom_2) ).

fof(f168,plain,
    ! [X0] :
      ( ~ cp(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ cp(sK1(X0))
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f124,f120]) ).

fof(f120,plain,
    ! [X0] :
      ( rs(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f124,plain,
    ! [X0,X4] :
      ( ~ rs(X0,X4)
      | ~ cp(X4)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.14  % 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 : n015.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 19:53:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_UNS_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/tmp/tmp.jsUcd88539/Vampire---4.8_29988
% 0.58/0.75  % (30247)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)
% 0.58/0.75  % (30247)Refutation not found, incomplete strategy% (30247)------------------------------
% 0.58/0.75  % (30247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30247)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30247)Memory used [KB]: 948
% 0.58/0.75  % (30247)Time elapsed: 0.001 s
% 0.58/0.75  % (30247)Instructions burned: 2 (million)
% 0.58/0.75  % (30247)------------------------------
% 0.58/0.75  % (30247)------------------------------
% 0.58/0.75  % (30241)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)
% 0.58/0.75  % (30243)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (30244)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)
% 0.58/0.75  % (30242)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)
% 0.58/0.75  % (30246)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)
% 0.58/0.75  % (30245)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)
% 0.58/0.75  % (30241)Refutation not found, incomplete strategy% (30241)------------------------------
% 0.58/0.75  % (30241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30243)Refutation not found, incomplete strategy% (30243)------------------------------
% 0.58/0.75  % (30243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30243)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  % (30241)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  
% 0.58/0.75  % (30243)Memory used [KB]: 948
% 0.58/0.75  % (30241)Memory used [KB]: 948
% 0.58/0.75  % (30243)Time elapsed: 0.002 s
% 0.58/0.75  % (30241)Time elapsed: 0.002 s
% 0.58/0.75  % (30243)Instructions burned: 2 (million)
% 0.58/0.75  % (30241)Instructions burned: 2 (million)
% 0.58/0.75  % (30244)Refutation not found, incomplete strategy% (30244)------------------------------
% 0.58/0.75  % (30244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30244)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30244)Memory used [KB]: 948
% 0.58/0.75  % (30244)Time elapsed: 0.002 s
% 0.58/0.75  % (30244)Instructions burned: 2 (million)
% 0.58/0.75  % (30246)Refutation not found, incomplete strategy% (30246)------------------------------
% 0.58/0.75  % (30246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30246)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30246)Memory used [KB]: 948
% 0.58/0.75  % (30246)Time elapsed: 0.002 s
% 0.58/0.75  % (30246)Instructions burned: 2 (million)
% 0.58/0.75  % (30241)------------------------------
% 0.58/0.75  % (30241)------------------------------
% 0.58/0.75  % (30243)------------------------------
% 0.58/0.75  % (30243)------------------------------
% 0.58/0.75  % (30244)------------------------------
% 0.58/0.75  % (30244)------------------------------
% 0.58/0.75  % (30246)------------------------------
% 0.58/0.75  % (30246)------------------------------
% 0.58/0.75  % (30245)Refutation not found, incomplete strategy% (30245)------------------------------
% 0.58/0.75  % (30245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30245)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30245)Memory used [KB]: 1032
% 0.58/0.75  % (30245)Time elapsed: 0.003 s
% 0.58/0.75  % (30245)Instructions burned: 3 (million)
% 0.58/0.75  % (30248)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)
% 0.58/0.75  % (30245)------------------------------
% 0.58/0.75  % (30245)------------------------------
% 0.58/0.75  % (30242)First to succeed.
% 0.58/0.75  % (30248)Refutation not found, incomplete strategy% (30248)------------------------------
% 0.58/0.75  % (30248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30248)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.61/0.75  % (30248)Memory used [KB]: 948
% 0.61/0.75  % (30248)Time elapsed: 0.004 s
% 0.61/0.75  % (30248)Instructions burned: 2 (million)
% 0.61/0.75  % (30242)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30237"
% 0.61/0.75  % (30248)------------------------------
% 0.61/0.75  % (30248)------------------------------
% 0.61/0.75  % (30242)Refutation found. Thanks to Tanya!
% 0.61/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.75  % (30242)------------------------------
% 0.61/0.75  % (30242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.75  % (30242)Termination reason: Refutation
% 0.61/0.75  
% 0.61/0.75  % (30242)Memory used [KB]: 1059
% 0.61/0.75  % (30242)Time elapsed: 0.004 s
% 0.61/0.75  % (30242)Instructions burned: 4 (million)
% 0.61/0.75  % (30237)Success in time 0.387 s
% 0.61/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------