TSTP Solution File: KRS152+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS152+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 : 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 07:18:01 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   70 (  19 unt;   0 def)
%            Number of atoms       :  208 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  231 (  93   ~;  88   |;  31   &)
%                                         (  14 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   9 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f109,plain,
    $false,
    inference(avatar_sat_refutation,[],[f89,f90,f91,f92,f94,f99,f102,f104,f106,f108]) ).

fof(f108,plain,
    ~ spl3_2,
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f107,plain,
    ( $false
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f64,f45]) ).

fof(f45,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_0) ).

fof(f64,plain,
    ( cowlNothing(sK1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl3_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f106,plain,
    ( ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f105,f70,f66]) ).

fof(f66,plain,
    ( spl3_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f70,plain,
    ( spl3_4
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f105,plain,
    ( ~ xsd_string(sK0)
    | ~ spl3_4 ),
    inference(forward_literal_rewriting,[],[f72,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_1) ).

fof(f72,plain,
    ( xsd_integer(sK0)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f104,plain,
    ( spl3_3
    | spl3_4 ),
    inference(avatar_split_clause,[],[f103,f70,f66]) ).

fof(f103,plain,
    ( xsd_string(sK0)
    | spl3_4 ),
    inference(forward_literal_rewriting,[],[f71,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f71,plain,
    ( ~ xsd_integer(sK0)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f102,plain,
    spl3_6,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | spl3_6 ),
    inference(subsumption_resolution,[],[f100,f42]) ).

fof(f42,plain,
    cTEST(iV21080),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    cTEST(iV21080),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_7) ).

fof(f100,plain,
    ( ~ cTEST(iV21080)
    | spl3_6 ),
    inference(resolution,[],[f80,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( cC12(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( cC12(X0)
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( cTEST(X0)
     => cC12(X0) ),
    inference(pure_predicate_removal,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( ~ cC8(X0)
        & cC12(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( ~ cC8(X0)
        & cC12(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_6) ).

fof(f80,plain,
    ( ~ cC12(iV21080)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl3_6
  <=> cC12(iV21080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f99,plain,
    spl3_7,
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | spl3_7 ),
    inference(subsumption_resolution,[],[f97,f47]) ).

fof(f47,plain,
    cC2(iV21081),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    cC2(iV21081),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_14) ).

fof(f97,plain,
    ( ~ cC2(iV21081)
    | spl3_7 ),
    inference(subsumption_resolution,[],[f96,f46]) ).

fof(f46,plain,
    cC4(iV21081),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    cC4(iV21081),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_15) ).

fof(f96,plain,
    ( ~ cC4(iV21081)
    | ~ cC2(iV21081)
    | spl3_7 ),
    inference(resolution,[],[f55,f84]) ).

fof(f84,plain,
    ( ~ cC10(iV21081)
    | spl3_7 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl3_7
  <=> cC10(iV21081) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f55,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC4(X0)
      | ~ cC2(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC4(X0)
        | ~ cC2(X0) )
      & ( ( cC4(X0)
          & cC2(X0) )
        | ~ cC10(X0) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( ( cC10(X0)
        | ~ cC4(X0)
        | ~ cC2(X0) )
      & ( ( cC4(X0)
          & cC2(X0) )
        | ~ cC10(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cC10(X0)
    <=> ( cC4(X0)
        & cC2(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_2) ).

fof(f94,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f93]) ).

fof(f93,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f44,f60]) ).

fof(f60,plain,
    ( ~ cowlThing(sK1)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl3_1
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f44,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f92,plain,
    spl3_8,
    inference(avatar_split_clause,[],[f43,f86]) ).

fof(f86,plain,
    ( spl3_8
  <=> cowlThing(iV21081) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f43,plain,
    cowlThing(iV21081),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    cowlThing(iV21081),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_13) ).

fof(f91,plain,
    spl3_5,
    inference(avatar_split_clause,[],[f41,f74]) ).

fof(f74,plain,
    ( spl3_5
  <=> cowlThing(iV21080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f41,plain,
    cowlThing(iV21080),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cowlThing(iV21080),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',axiom_8) ).

fof(f90,plain,
    ( ~ spl3_1
    | spl3_2
    | spl3_3
    | ~ spl3_4
    | ~ spl3_5
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f38,f86,f82,f78,f74,f70,f66,f62,f58]) ).

fof(f38,plain,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f29,f28]) ).

fof(f28,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ( cowlThing(iV21081)
      & cC10(iV21081)
      & cC12(iV21080)
      & cowlThing(iV21080)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ( cowlThing(iV21081)
      & cC10(iV21081)
      & cC12(iV21080)
      & cowlThing(iV21080)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ( cowlThing(iV21081)
    & cC10(iV21081)
    & cC12(iV21080)
    & cowlThing(iV21080)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XKQjcwTs1G/Vampire---4.8_20869',the_axiom) ).

fof(f89,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_3
    | spl3_4
    | ~ spl3_5
    | ~ spl3_6
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(avatar_split_clause,[],[f39,f86,f82,f78,f74,f70,f66,f62,f58]) ).

fof(f39,plain,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS152+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % 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
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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 19:51:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  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.XKQjcwTs1G/Vampire---4.8_20869
% 0.58/0.73  % (21261)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)
% 0.58/0.73  % (21261)Refutation not found, incomplete strategy% (21261)------------------------------
% 0.58/0.73  % (21261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (21261)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (21254)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)
% 0.58/0.73  % (21261)Memory used [KB]: 970
% 0.58/0.73  % (21261)Time elapsed: 0.002 s
% 0.58/0.73  % (21261)Instructions burned: 2 (million)
% 0.58/0.73  % (21256)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73  % (21255)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)
% 0.58/0.73  % (21257)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)
% 0.58/0.73  % (21258)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)
% 0.58/0.73  % (21259)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)
% 0.58/0.73  % (21261)------------------------------
% 0.58/0.73  % (21261)------------------------------
% 0.58/0.73  % (21260)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)
% 0.58/0.73  % (21257)Refutation not found, incomplete strategy% (21257)------------------------------
% 0.58/0.73  % (21257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (21257)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (21257)Memory used [KB]: 947
% 0.58/0.73  % (21257)Time elapsed: 0.002 s
% 0.58/0.73  % (21257)Instructions burned: 2 (million)
% 0.58/0.73  % (21257)------------------------------
% 0.58/0.73  % (21257)------------------------------
% 0.58/0.73  % (21259)Refutation not found, incomplete strategy% (21259)------------------------------
% 0.58/0.73  % (21259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (21259)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (21259)Memory used [KB]: 970
% 0.58/0.73  % (21259)Time elapsed: 0.003 s
% 0.58/0.73  % (21259)Instructions burned: 2 (million)
% 0.58/0.73  % (21258)Refutation not found, incomplete strategy% (21258)------------------------------
% 0.58/0.73  % (21258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (21258)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73  
% 0.58/0.73  % (21258)Memory used [KB]: 975
% 0.58/0.74  % (21258)Time elapsed: 0.003 s
% 0.58/0.74  % (21258)Instructions burned: 2 (million)
% 0.58/0.74  % (21256)Also succeeded, but the first one will report.
% 0.58/0.74  % (21254)First to succeed.
% 0.58/0.74  % (21259)------------------------------
% 0.58/0.74  % (21259)------------------------------
% 0.58/0.74  % (21260)Also succeeded, but the first one will report.
% 0.58/0.74  % (21258)------------------------------
% 0.58/0.74  % (21258)------------------------------
% 0.58/0.74  % (21255)Also succeeded, but the first one will report.
% 0.58/0.74  % (21254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21116"
% 0.58/0.74  % (21265)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)
% 0.58/0.74  % (21254)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (21254)------------------------------
% 0.58/0.74  % (21254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (21254)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (21254)Memory used [KB]: 992
% 0.58/0.74  % (21254)Time elapsed: 0.004 s
% 0.58/0.74  % (21254)Instructions burned: 4 (million)
% 0.58/0.74  % (21116)Success in time 0.381 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------