TSTP Solution File: KRS171+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS171+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 07:18:06 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (   3 unt;   0 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  222 (  88   ~;  99   |;  19   &)
%                                         (   9 <=>;   5  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   43 (  31   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f44,f49,f54]) ).

fof(f54,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f53,f36,f32]) ).

fof(f32,plain,
    ( spl4_1
  <=> xsd_string(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f36,plain,
    ( spl4_2
  <=> rhasLeader(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f53,plain,
    ( rhasLeader(sK0,sK1)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f52,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,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.Kz7T44nQP4/Vampire---4.8_27819',axiom_1) ).

fof(f52,plain,
    ( rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f51,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( rhasLeader(X0,X1)
      | ~ rhasHead(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( rhasLeader(X0,X1)
      | ~ rhasHead(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( rhasHead(X0,X1)
     => rhasLeader(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Kz7T44nQP4/Vampire---4.8_27819',axiom_2) ).

fof(f51,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f50,f21]) ).

fof(f21,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Kz7T44nQP4/Vampire---4.8_27819',axiom_0) ).

fof(f50,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f17,f22]) ).

fof(f22,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f17,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ( ( ~ rhasHead(sK0,sK1)
        | ~ rhasLeader(sK0,sK1) )
      & ( rhasHead(sK0,sK1)
        | rhasLeader(sK0,sK1) ) )
    | ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) )
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f11,f14,f13,f12]) ).

fof(f12,plain,
    ( ? [X0,X1] :
        ( ( ~ rhasHead(X0,X1)
          | ~ rhasLeader(X0,X1) )
        & ( rhasHead(X0,X1)
          | rhasLeader(X0,X1) ) )
   => ( ( ~ rhasHead(sK0,sK1)
        | ~ rhasLeader(sK0,sK1) )
      & ( rhasHead(sK0,sK1)
        | rhasLeader(sK0,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X2] :
        ( ( xsd_integer(X2)
          | ~ xsd_string(X2) )
        & ( ~ xsd_integer(X2)
          | xsd_string(X2) ) )
   => ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) )
   => ( cowlNothing(sK3)
      | ~ cowlThing(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( ? [X0,X1] :
        ( ( ~ rhasHead(X0,X1)
          | ~ rhasLeader(X0,X1) )
        & ( rhasHead(X0,X1)
          | rhasLeader(X0,X1) ) )
    | ? [X2] :
        ( ( xsd_integer(X2)
          | ~ xsd_string(X2) )
        & ( ~ xsd_integer(X2)
          | xsd_string(X2) ) )
    | ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ? [X0,X1] :
        ( rhasLeader(X0,X1)
      <~> rhasHead(X0,X1) )
    | ? [X2] :
        ( xsd_string(X2)
      <~> ~ xsd_integer(X2) )
    | ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ~ ( ! [X0,X1] :
          ( rhasLeader(X0,X1)
        <=> rhasHead(X0,X1) )
      & ! [X2] :
          ( xsd_string(X2)
        <=> ~ xsd_integer(X2) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ( ! [X0,X1] :
          ( rhasLeader(X0,X1)
        <=> rhasHead(X0,X1) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ( ! [X0,X1] :
        ( rhasLeader(X0,X1)
      <=> rhasHead(X0,X1) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Kz7T44nQP4/Vampire---4.8_27819',the_axiom) ).

fof(f49,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f48,f36,f32]) ).

fof(f48,plain,
    ( rhasLeader(sK0,sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f47,f26]) ).

fof(f47,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f46,f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f46,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f45,f21]) ).

fof(f45,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f18,f22]) ).

fof(f18,plain,
    ( rhasHead(sK0,sK1)
    | rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f44,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f43,f36,f32]) ).

fof(f43,plain,
    ( ~ rhasLeader(sK0,sK1)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f42,f24]) ).

fof(f42,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f41,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ rhasLeader(X0,X1)
      | rhasHead(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( rhasHead(X0,X1)
      | ~ rhasLeader(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( rhasLeader(X0,X1)
     => rhasHead(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Kz7T44nQP4/Vampire---4.8_27819',axiom_3) ).

fof(f41,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f40,f21]) ).

fof(f40,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f19,f22]) ).

fof(f19,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f39,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f30,f36,f32]) ).

fof(f30,plain,
    ( ~ rhasLeader(sK0,sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f29,f25]) ).

fof(f29,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f28,f23]) ).

fof(f28,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f27,f21]) ).

fof(f27,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f20,f22]) ).

fof(f20,plain,
    ( ~ rhasHead(sK0,sK1)
    | ~ rhasLeader(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS171+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:53:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.35  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.Kz7T44nQP4/Vampire---4.8_27819
% 0.59/0.74  % (27934)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)
% 0.59/0.74  % (27934)First to succeed.
% 0.59/0.74  % (27927)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)
% 0.59/0.74  % (27929)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (27928)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)
% 0.59/0.74  % (27931)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)
% 0.59/0.74  % (27932)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)
% 0.59/0.74  % (27934)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27926"
% 0.59/0.74  % (27930)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)
% 0.59/0.74  % (27933)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)
% 0.59/0.75  % (27934)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (27934)------------------------------
% 0.59/0.75  % (27934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (27934)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (27934)Memory used [KB]: 975
% 0.59/0.75  % (27934)Time elapsed: 0.002 s
% 0.59/0.75  % (27934)Instructions burned: 3 (million)
% 0.59/0.75  % (27926)Success in time 0.384 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------