TSTP Solution File: KRS164+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS164+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 : n013.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 07:18:04 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   62 (  17 unt;   0 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  204 (  83   ~;  80   |;  25   &)
%                                         (  13 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   9 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   23 (  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(avatar_sat_refutation,[],[f62,f63,f64,f65,f67,f71,f74,f76,f78,f80]) ).

fof(f80,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f79,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f37,f24]) ).

fof(f24,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_0) ).

fof(f37,plain,
    ( cowlNothing(sK1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl2_2
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f78,plain,
    ( ~ spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f77,f43,f39]) ).

fof(f39,plain,
    ( spl2_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f43,plain,
    ( spl2_4
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f77,plain,
    ( ~ xsd_string(sK0)
    | ~ spl2_4 ),
    inference(forward_literal_rewriting,[],[f45,f26]) ).

fof(f26,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.1pWVtFWoTw/Vampire---4.8_28894',axiom_1) ).

fof(f45,plain,
    ( xsd_integer(sK0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f76,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f75,f43,f39]) ).

fof(f75,plain,
    ( xsd_string(sK0)
    | spl2_4 ),
    inference(forward_literal_rewriting,[],[f44,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f44,plain,
    ( ~ xsd_integer(sK0)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f74,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | spl2_5 ),
    inference(subsumption_resolution,[],[f72,f21]) ).

fof(f21,plain,
    cAutomobile(iauto),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    cAutomobile(iauto),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_3) ).

fof(f72,plain,
    ( ~ cAutomobile(iauto)
    | spl2_5 ),
    inference(resolution,[],[f29,f49]) ).

fof(f49,plain,
    ( ~ cCar(iauto)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl2_5
  <=> cCar(iauto) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f29,plain,
    ! [X0] :
      ( cCar(X0)
      | ~ cAutomobile(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ( cCar(X0)
        | ~ cAutomobile(X0) )
      & ( cAutomobile(X0)
        | ~ cCar(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cCar(X0)
    <=> cAutomobile(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_2) ).

fof(f71,plain,
    spl2_7,
    inference(avatar_contradiction_clause,[],[f70]) ).

fof(f70,plain,
    ( $false
    | spl2_7 ),
    inference(subsumption_resolution,[],[f69,f25]) ).

fof(f25,plain,
    cCar(icar),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    cCar(icar),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_5) ).

fof(f69,plain,
    ( ~ cCar(icar)
    | spl2_7 ),
    inference(resolution,[],[f28,f57]) ).

fof(f57,plain,
    ( ~ cAutomobile(icar)
    | spl2_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl2_7
  <=> cAutomobile(icar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f28,plain,
    ! [X0] :
      ( cAutomobile(X0)
      | ~ cCar(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f67,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | spl2_1 ),
    inference(resolution,[],[f23,f33]) ).

fof(f33,plain,
    ( ~ cowlThing(sK1)
    | spl2_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl2_1
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f23,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f65,plain,
    spl2_8,
    inference(avatar_split_clause,[],[f22,f59]) ).

fof(f59,plain,
    ( spl2_8
  <=> cowlThing(icar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f22,plain,
    cowlThing(icar),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    cowlThing(icar),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_6) ).

fof(f64,plain,
    spl2_6,
    inference(avatar_split_clause,[],[f20,f51]) ).

fof(f51,plain,
    ( spl2_6
  <=> cowlThing(iauto) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f20,plain,
    cowlThing(iauto),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    cowlThing(iauto),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',axiom_4) ).

fof(f63,plain,
    ( ~ spl2_1
    | spl2_2
    | spl2_3
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f18,f59,f55,f51,f47,f43,f39,f35,f31]) ).

fof(f18,plain,
    ( ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ( ( 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])],[f12,f14,f13]) ).

fof(f13,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(f14,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ( cowlThing(icar)
      & cAutomobile(icar)
      & cowlThing(iauto)
      & cCar(iauto)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ( cowlThing(icar)
      & cAutomobile(icar)
      & cowlThing(iauto)
      & cCar(iauto)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ( cowlThing(icar)
    & cAutomobile(icar)
    & cowlThing(iauto)
    & cCar(iauto)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894',the_axiom) ).

fof(f62,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | spl2_4
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f19,f59,f55,f51,f47,f43,f39,f35,f31]) ).

fof(f19,plain,
    ( ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | ~ cowlThing(iauto)
    | ~ cCar(iauto)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS164+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 : n013.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 19:52:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ 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/tmp/tmp.1pWVtFWoTw/Vampire---4.8_28894
% 0.57/0.74  % (29145)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)
% 0.57/0.74  % (29151)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)
% 0.57/0.74  % (29145)First to succeed.
% 0.57/0.74  % (29151)Also succeeded, but the first one will report.
% 0.57/0.74  % (29147)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (29146)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)
% 0.57/0.74  % (29148)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)
% 0.57/0.74  % (29149)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)
% 0.57/0.74  % (29150)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)
% 0.57/0.74  % (29145)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29141"
% 0.57/0.74  % (29145)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (29145)------------------------------
% 0.57/0.74  % (29145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29145)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (29145)Memory used [KB]: 986
% 0.57/0.74  % (29145)Time elapsed: 0.003 s
% 0.57/0.74  % (29145)Instructions burned: 4 (million)
% 0.57/0.74  % (29141)Success in time 0.373 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------