TSTP Solution File: KRS136+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS136+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 23:22:15 EDT 2024

% Result   : Theorem 0.23s 0.41s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   6 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   92 (  40   ~;  33   |;  12   &)
%                                         (   4 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   19 (  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f24]) ).

fof(f24,plain,
    xsd_string(sK0),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f22,plain,
    ( xsd_string(sK0)
    | xsd_string(sK0) ),
    inference(resolution,[],[f17,f19]) ).

fof(f19,plain,
    ( ~ xsd_integer(sK0)
    | xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f18,f14]) ).

fof(f14,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f18,plain,
    ( ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f12,f15]) ).

fof(f15,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f12,plain,
    ( ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( ( 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])],[f7,f9,f8]) ).

fof(f8,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(f9,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ( ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f17,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,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/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f27,plain,
    ~ xsd_string(sK0),
    inference(resolution,[],[f25,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f25,plain,
    xsd_integer(sK0),
    inference(resolution,[],[f24,f21]) ).

fof(f21,plain,
    ( ~ xsd_string(sK0)
    | xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f20,f14]) ).

fof(f20,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f13,f15]) ).

fof(f13,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : KRS136+1 : TPTP v8.2.0. Released v3.1.0.
% 0.05/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38  % Computer : n013.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 22:25:23 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.23/0.39  % (22038)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.40  % (22041)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.23/0.40  % (22040)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.40  % (22039)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40  % (22045)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40  % (22044)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.40  % (22043)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.40  % (22042)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.40  Detected minimum model sizes of [1,1]
% 0.23/0.40  Detected minimum model sizes of [1]
% 0.23/0.40  Detected minimum model sizes of [1,1]
% 0.23/0.40  Detected minimum model sizes of [1]
% 0.23/0.40  Detected maximum model sizes of [1,1]
% 0.23/0.40  Detected maximum model sizes of [2]
% 0.23/0.40  Detected maximum model sizes of [2]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [1,1]
% 0.23/0.40  Detected maximum model sizes of [1,1]
% 0.23/0.40  TRYING [1,1]
% 0.23/0.40  Cannot enumerate next child to try in an incomplete setup
% 0.23/0.40  % (22042)Refutation not found, incomplete strategy% (22042)------------------------------
% 0.23/0.40  % (22042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40  % (22045)Also succeeded, but the first one will report.
% 0.23/0.40  % (22039)Also succeeded, but the first one will report.
% 0.23/0.40  % (22043)First to succeed.
% 0.23/0.40  % (22042)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40  
% 0.23/0.40  % (22042)Memory used [KB]: 726
% 0.23/0.40  % (22042)Time elapsed: 0.003 s
% 0.23/0.40  % (22042)Instructions burned: 2 (million)
% 0.23/0.40  Cannot enumerate next child to try in an incomplete setup
% 0.23/0.40  % (22040)Refutation not found, incomplete strategy% (22040)------------------------------
% 0.23/0.40  % (22040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40  % (22041)Also succeeded, but the first one will report.
% 0.23/0.40  % (22040)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.40  
% 0.23/0.40  % (22044)Also succeeded, but the first one will report.
% 0.23/0.40  % (22040)Memory used [KB]: 725
% 0.23/0.40  % (22040)Time elapsed: 0.003 s
% 0.23/0.40  % (22040)Instructions burned: 2 (million)
% 0.23/0.40  % (22042)------------------------------
% 0.23/0.40  % (22042)------------------------------
% 0.23/0.40  % (22040)------------------------------
% 0.23/0.40  % (22040)------------------------------
% 0.23/0.40  % (22043)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22038"
% 0.23/0.41  % (22043)Refutation found. Thanks to Tanya!
% 0.23/0.41  % SZS status Theorem for theBenchmark
% 0.23/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41  % (22043)------------------------------
% 0.23/0.41  % (22043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.41  % (22043)Termination reason: Refutation
% 0.23/0.41  
% 0.23/0.41  % (22043)Memory used [KB]: 732
% 0.23/0.41  % (22043)Time elapsed: 0.003 s
% 0.23/0.41  % (22043)Instructions burned: 2 (million)
% 0.23/0.41  % (22038)Success in time 0.019 s
%------------------------------------------------------------------------------