TSTP Solution File: KRS087+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS087+1 : TPTP v8.2.0. 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 : Mon May 20 23:20:03 EDT 2024

% Result   : Unsatisfiable 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   42 (   7 unt;   0 def)
%            Number of atoms       :  166 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  191 (  67   ~;  59   |;  51   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   82 (  62   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f154,plain,
    $false,
    inference(avatar_sat_refutation,[],[f149,f151,f153]) ).

fof(f153,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f152,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f144,f104]) ).

fof(f104,plain,
    cUnsatisfiable(i2003_11_14_17_19_46763),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    cUnsatisfiable(i2003_11_14_17_19_46763),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f144,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_46763)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl3_1
  <=> cUnsatisfiable(i2003_11_14_17_19_46763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f151,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl3_2 ),
    inference(resolution,[],[f148,f120]) ).

fof(f120,plain,
    cp1(i2003_11_14_17_19_46763),
    inference(resolution,[],[f91,f104]) ).

fof(f91,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cp1(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ! [X2] :
                ( ~ cp1(X2)
                | ( cp1(sK0(X2))
                  & rinvR(X2,sK0(X2)) )
                | ~ rr(X1,X2) )
            | ~ rr(X0,X1) )
        | ~ cp1(X0) )
      & ( ( cp1(sK2(X0))
          & ! [X6] :
              ( ~ cp1(X6)
              | ~ rinvR(sK2(X0),X6) )
          & rr(sK1(X0),sK2(X0))
          & rr(X0,sK1(X0))
          & cp1(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] :
              ( cp1(X5)
              & ! [X6] :
                  ( ~ cp1(X6)
                  | ~ rinvR(X5,X6) )
              & rr(X4,X5) )
          & rr(X0,X4) )
     => ( ? [X5] :
            ( cp1(X5)
            & ! [X6] :
                ( ~ cp1(X6)
                | ~ rinvR(X5,X6) )
            & rr(sK1(X0),X5) )
        & rr(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

fof(f17,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( ? [X5] :
                ( cp1(X5)
                & ! [X6] :
                    ( rinvR(X5,X6)
                   => ~ cp1(X6) )
                & rr(X4,X5) )
            & rr(X3,X4) )
        & cp1(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f148,plain,
    ( ~ cp1(i2003_11_14_17_19_46763)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl3_2
  <=> cp1(i2003_11_14_17_19_46763) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f149,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f139,f146,f142]) ).

fof(f139,plain,
    ( ~ cp1(i2003_11_14_17_19_46763)
    | ~ cUnsatisfiable(i2003_11_14_17_19_46763) ),
    inference(resolution,[],[f138,f94]) ).

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

fof(f138,plain,
    rinvR(sK2(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763),
    inference(resolution,[],[f137,f104]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rinvR(sK2(X0),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/sandbox/benchmark/theBenchmark.p',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,f92]) ).

fof(f92,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,f93]) ).

fof(f93,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/sandbox/benchmark/theBenchmark.p',axiom_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KRS087+1 : TPTP v8.2.0. Released v3.1.0.
% 0.04/0.14  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 21:57:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_UNS_RFO_SEQ problem
% 0.15/0.36  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/benchmark/theBenchmark.p
% 0.70/0.93  % (31132)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.93  % (31131)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.93  % (31129)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 theBenchmark for (2994ds/34Mi)
% 0.70/0.93  % (31134)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.93  % (31130)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 theBenchmark for (2994ds/51Mi)
% 0.77/0.93  % (31135)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 theBenchmark for (2994ds/83Mi)
% 0.77/0.93  % (31133)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 theBenchmark for (2994ds/34Mi)
% 0.77/0.93  % (31136)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.77/0.93  % (31134)Refutation not found, incomplete strategy% (31134)------------------------------
% 0.77/0.93  % (31134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31132)Refutation not found, incomplete strategy% (31132)------------------------------
% 0.77/0.93  % (31132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31131)Refutation not found, incomplete strategy% (31131)------------------------------
% 0.77/0.93  % (31131)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31129)Refutation not found, incomplete strategy% (31129)------------------------------
% 0.77/0.93  % (31129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31132)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  % (31129)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  % (31131)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  
% 0.77/0.93  
% 0.77/0.93  % (31132)Memory used [KB]: 947
% 0.77/0.93  % (31129)Memory used [KB]: 948
% 0.77/0.93  % (31131)Memory used [KB]: 947
% 0.77/0.93  % (31132)Time elapsed: 0.002 s
% 0.77/0.93  % (31131)Time elapsed: 0.002 s
% 0.77/0.93  % (31129)Time elapsed: 0.003 s
% 0.77/0.93  % (31131)Instructions burned: 2 (million)
% 0.77/0.93  % (31129)Instructions burned: 2 (million)
% 0.77/0.93  % (31132)Instructions burned: 2 (million)
% 0.77/0.93  % (31136)Refutation not found, incomplete strategy% (31136)------------------------------
% 0.77/0.93  % (31136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31136)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (31136)Memory used [KB]: 947
% 0.77/0.93  % (31136)Time elapsed: 0.002 s
% 0.77/0.93  % (31136)Instructions burned: 2 (million)
% 0.77/0.93  % (31135)Refutation not found, incomplete strategy% (31135)------------------------------
% 0.77/0.93  % (31135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31135)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (31135)Memory used [KB]: 948
% 0.77/0.93  % (31135)Time elapsed: 0.002 s
% 0.77/0.93  % (31135)Instructions burned: 2 (million)
% 0.77/0.93  % (31134)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (31134)Memory used [KB]: 947
% 0.77/0.93  % (31134)Time elapsed: 0.002 s
% 0.77/0.93  % (31134)Instructions burned: 2 (million)
% 0.77/0.93  % (31129)------------------------------
% 0.77/0.93  % (31129)------------------------------
% 0.77/0.93  % (31132)------------------------------
% 0.77/0.93  % (31132)------------------------------
% 0.77/0.93  % (31131)------------------------------
% 0.77/0.93  % (31131)------------------------------
% 0.77/0.93  % (31136)------------------------------
% 0.77/0.93  % (31136)------------------------------
% 0.77/0.93  % (31135)------------------------------
% 0.77/0.93  % (31135)------------------------------
% 0.77/0.93  % (31134)------------------------------
% 0.77/0.93  % (31134)------------------------------
% 0.77/0.93  % (31133)Refutation not found, incomplete strategy% (31133)------------------------------
% 0.77/0.93  % (31133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.93  % (31133)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93  
% 0.77/0.93  % (31133)Memory used [KB]: 1027
% 0.77/0.93  % (31133)Time elapsed: 0.003 s
% 0.77/0.93  % (31133)Instructions burned: 3 (million)
% 0.77/0.93  % (31133)------------------------------
% 0.77/0.93  % (31133)------------------------------
% 0.77/0.94  % (31130)First to succeed.
% 0.77/0.94  % (31130)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31127"
% 0.77/0.94  % (31130)Refutation found. Thanks to Tanya!
% 0.77/0.94  % SZS status Unsatisfiable for theBenchmark
% 0.77/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.94  % (31130)------------------------------
% 0.77/0.94  % (31130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.94  % (31130)Termination reason: Refutation
% 0.77/0.94  
% 0.77/0.94  % (31130)Memory used [KB]: 1067
% 0.77/0.94  % (31130)Time elapsed: 0.005 s
% 0.77/0.94  % (31130)Instructions burned: 5 (million)
% 0.77/0.94  % (31127)Success in time 0.566 s
% 0.77/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------