TSTP Solution File: KRS085+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS085+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 : n017.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 07:17:48 EDT 2024

% Result   : Unsatisfiable 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (   5 unt;   0 def)
%            Number of atoms       :  153 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  186 (  67   ~;  56   |;  51   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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   :   84 (  64   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(resolution,[],[f141,f120]) ).

fof(f120,plain,
    cp1(i2003_11_14_17_19_39537),
    inference(resolution,[],[f95,f104]) ).

fof(f104,plain,
    cUnsatisfiable(i2003_11_14_17_19_39537),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    cUnsatisfiable(i2003_11_14_17_19_39537),
    file('/export/starexec/sandbox2/tmp/tmp.YGY3IfEWWO/Vampire---4.8_19596',axiom_7) ).

fof(f95,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cp1(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ( cp1(sK0(X2))
                  & rinvR(X2,sK0(X2)) )
                | ~ cp1(X2)
                | ~ rr(X1,X2) )
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ! [X6] :
              ( ~ cp1(X6)
              | ~ rinvR(sK2(X0),X6) )
          & cp1(sK2(X0))
          & rr(sK1(X0),sK2(X0))
          & rr(X0,sK1(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f66,f69,f68,f67]) ).

fof(f67,plain,
    ! [X2] :
      ( ? [X3] :
          ( cp1(X3)
          & rinvR(X2,X3) )
     => ( cp1(sK0(X2))
        & rinvR(X2,sK0(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ! [X6] :
                  ( ~ cp1(X6)
                  | ~ rinvR(X5,X6) )
              & cp1(X5)
              & rr(X4,X5) )
          & rr(X0,X4) )
     => ( ? [X5] :
            ( ! [X6] :
                ( ~ cp1(X6)
                | ~ rinvR(X5,X6) )
            & cp1(X5)
            & rr(sK1(X0),X5) )
        & rr(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0] :
      ( ? [X5] :
          ( ! [X6] :
              ( ~ cp1(X6)
              | ~ rinvR(X5,X6) )
          & cp1(X5)
          & rr(sK1(X0),X5) )
     => ( ! [X6] :
            ( ~ cp1(X6)
            | ~ rinvR(sK2(X0),X6) )
        & cp1(sK2(X0))
        & rr(sK1(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ? [X3] :
                    ( cp1(X3)
                    & rinvR(X2,X3) )
                | ~ cp1(X2)
                | ~ rr(X1,X2) )
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X4] :
              ( ? [X5] :
                  ( ! [X6] :
                      ( ~ cp1(X6)
                      | ~ rinvR(X5,X6) )
                  & cp1(X5)
                  & rr(X4,X5) )
              & rr(X0,X4) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ? [X3] :
                    ( cp1(X3)
                    & rinvR(X2,X3) )
                | ~ cp1(X2)
                | ~ rr(X1,X2) )
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X1] :
              ( ? [X2] :
                  ( ! [X3] :
                      ( ~ cp1(X3)
                      | ~ rinvR(X2,X3) )
                  & cp1(X2)
                  & rr(X1,X2) )
              & rr(X0,X1) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ cp1(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ? [X3] :
                    ( cp1(X3)
                    & rinvR(X2,X3) )
                | ~ cp1(X2)
                | ~ rr(X1,X2) )
            | ~ rr(X0,X1) ) )
      & ( ( cp1(X0)
          & ? [X1] :
              ( ? [X2] :
                  ( ! [X3] :
                      ( ~ cp1(X3)
                      | ~ rinvR(X2,X3) )
                  & cp1(X2)
                  & rr(X1,X2) )
              & rr(X0,X1) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cp1(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ! [X3] :
                    ( ~ cp1(X3)
                    | ~ rinvR(X2,X3) )
                & cp1(X2)
                & rr(X1,X2) )
            & rr(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( cp1(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ! [X3] :
                    ( rinvR(X2,X3)
                   => ~ cp1(X3) )
                & cp1(X2)
                & rr(X1,X2) )
            & rr(X0,X1) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( cp1(X3)
        & ? [X4] :
            ( ? [X5] :
                ( ! [X6] :
                    ( rinvR(X5,X6)
                   => ~ cp1(X6) )
                & cp1(X5)
                & rr(X4,X5) )
            & rr(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.YGY3IfEWWO/Vampire---4.8_19596',axiom_2) ).

fof(f141,plain,
    ~ cp1(i2003_11_14_17_19_39537),
    inference(resolution,[],[f140,f104]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp1(X0) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp1(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f137,f94]) ).

fof(f94,plain,
    ! [X0,X6] :
      ( ~ rinvR(sK2(X0),X6)
      | ~ cp1(X6)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f137,plain,
    ! [X0] :
      ( rinvR(sK2(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f135,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3,X4] :
      ( rinvR(X3,X4)
    <=> rr(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.YGY3IfEWWO/Vampire---4.8_19596',axiom_5) ).

fof(f135,plain,
    ! [X0] :
      ( rr(X0,sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( rr(X0,sK2(X0))
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f128,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( rr(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ rr(X0,sK1(X1))
      | rr(X0,sK2(X1))
      | ~ cUnsatisfiable(X1) ),
    inference(resolution,[],[f103,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( rr(sK1(X0),sK2(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( ~ rr(X1,X2)
      | rr(X0,X2)
      | ~ rr(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( rr(X0,X2)
      | ~ rr(X1,X2)
      | ~ rr(X0,X1) ),
    inference(flattening,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( rr(X0,X2)
      | ~ rr(X1,X2)
      | ~ rr(X0,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( rr(X1,X2)
        & rr(X0,X1) )
     => rr(X0,X2) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3,X4,X5] :
      ( ( rr(X4,X5)
        & rr(X3,X4) )
     => rr(X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.YGY3IfEWWO/Vampire---4.8_19596',axiom_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS085+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14  % 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
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 19:51:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_UNS_RFO_SEQ problem
% 0.13/0.36  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.YGY3IfEWWO/Vampire---4.8_19596
% 0.55/0.74  % (19767)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)
% 0.55/0.74  % (19767)Refutation not found, incomplete strategy% (19767)------------------------------
% 0.55/0.74  % (19767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19767)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19767)Memory used [KB]: 948
% 0.55/0.74  % (19767)Time elapsed: 0.001 s
% 0.55/0.74  % (19767)Instructions burned: 2 (million)
% 0.55/0.74  % (19767)------------------------------
% 0.55/0.74  % (19767)------------------------------
% 0.55/0.74  % (19761)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)
% 0.55/0.74  % (19763)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (19764)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)
% 0.55/0.74  % (19762)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)
% 0.55/0.74  % (19765)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)
% 0.55/0.74  % (19766)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)
% 0.55/0.74  % (19761)Refutation not found, incomplete strategy% (19761)------------------------------
% 0.55/0.74  % (19761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19761)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19761)Memory used [KB]: 948
% 0.55/0.74  % (19761)Time elapsed: 0.002 s
% 0.55/0.74  % (19761)Instructions burned: 2 (million)
% 0.55/0.74  % (19763)Refutation not found, incomplete strategy% (19763)------------------------------
% 0.55/0.74  % (19763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19763)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19763)Memory used [KB]: 947
% 0.55/0.74  % (19763)Time elapsed: 0.002 s
% 0.55/0.74  % (19763)Instructions burned: 2 (million)
% 0.55/0.74  % (19764)Refutation not found, incomplete strategy% (19764)------------------------------
% 0.55/0.74  % (19764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19764)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19764)Memory used [KB]: 948
% 0.55/0.74  % (19764)Time elapsed: 0.002 s
% 0.55/0.74  % (19764)Instructions burned: 2 (million)
% 0.55/0.74  % (19766)Refutation not found, incomplete strategy% (19766)------------------------------
% 0.55/0.74  % (19766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19766)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19766)Memory used [KB]: 948
% 0.55/0.74  % (19766)Time elapsed: 0.002 s
% 0.55/0.74  % (19766)Instructions burned: 2 (million)
% 0.55/0.74  % (19761)------------------------------
% 0.55/0.74  % (19761)------------------------------
% 0.55/0.74  % (19763)------------------------------
% 0.55/0.74  % (19763)------------------------------
% 0.55/0.74  % (19764)------------------------------
% 0.55/0.74  % (19764)------------------------------
% 0.55/0.74  % (19766)------------------------------
% 0.55/0.74  % (19766)------------------------------
% 0.55/0.74  % (19765)Refutation not found, incomplete strategy% (19765)------------------------------
% 0.55/0.74  % (19765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19765)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19765)Memory used [KB]: 1028
% 0.55/0.74  % (19765)Time elapsed: 0.003 s
% 0.55/0.74  % (19765)Instructions burned: 3 (million)
% 0.55/0.74  % (19765)------------------------------
% 0.55/0.74  % (19765)------------------------------
% 0.55/0.74  % (19768)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)
% 0.55/0.74  % (19762)First to succeed.
% 0.55/0.74  % (19768)Refutation not found, incomplete strategy% (19768)------------------------------
% 0.55/0.74  % (19768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19768)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (19768)Memory used [KB]: 948
% 0.55/0.74  % (19768)Time elapsed: 0.002 s
% 0.55/0.74  % (19768)Instructions burned: 2 (million)
% 0.55/0.74  % (19768)------------------------------
% 0.55/0.74  % (19768)------------------------------
% 0.55/0.74  % (19762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19760"
% 0.55/0.74  % (19762)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (19762)------------------------------
% 0.55/0.74  % (19762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (19762)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (19762)Memory used [KB]: 1057
% 0.55/0.74  % (19762)Time elapsed: 0.005 s
% 0.55/0.74  % (19762)Instructions burned: 5 (million)
% 0.55/0.74  % (19760)Success in time 0.38 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------