TSTP Solution File: KRS141+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n012.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 : Wed Aug 31 17:30:55 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  13 unt;   0 def)
%            Number of atoms       :  155 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  193 (  84   ~;  81   |;  19   &)
%                                         (   4 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   34 (  26   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,plain,
    $false,
    inference(subsumption_resolution,[],[f52,f51]) ).

fof(f51,plain,
    ~ cc(io),
    inference(subsumption_resolution,[],[f50,f46]) ).

fof(f46,plain,
    ( ~ cc(io)
    | ~ xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f45,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(literal_reordering,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,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(f45,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | ~ cc(io) ),
    inference(subsumption_resolution,[],[f44,f35]) ).

fof(f35,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(literal_reordering,[],[f21]) ).

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

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

fof(f44,plain,
    ( cowlNothing(sK1)
    | ~ cc(io)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f43,f32]) ).

fof(f32,plain,
    ! [X0] : cowlThing(X0),
    inference(literal_reordering,[],[f22]) ).

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

fof(f43,plain,
    ( ~ cowlThing(io)
    | ~ cc(io)
    | cowlNothing(sK1)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f36,f32]) ).

fof(f36,plain,
    ( ~ cowlThing(sK1)
    | xsd_integer(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(io)
    | ~ xsd_string(sK0)
    | ~ cc(io) ),
    inference(literal_reordering,[],[f26]) ).

fof(f26,plain,
    ( ~ cowlThing(sK1)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cc(io)
    | ~ cowlThing(io)
    | xsd_integer(sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ~ cc(io)
    | ~ cowlThing(io)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | ~ cowlThing(sK1)
    | cowlNothing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f17,f16]) ).

fof(f16,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(f17,plain,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
   => ( ~ cowlThing(sK1)
      | cowlNothing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ~ cc(io)
    | ~ cowlThing(io)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ( ~ cc(io)
    | ~ cowlThing(io)
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) ) ),
    inference(nnf_transformation,[],[f11]) ).

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

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

fof(f9,negated_conjecture,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cc(io)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cowlThing(io) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cc(io)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & cowlThing(io) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f50,plain,
    ( xsd_string(sK0)
    | ~ cc(io) ),
    inference(subsumption_resolution,[],[f49,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(literal_reordering,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f49,plain,
    ( ~ cc(io)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f48,f35]) ).

fof(f48,plain,
    ( ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | ~ cc(io)
    | cowlNothing(sK1) ),
    inference(subsumption_resolution,[],[f47,f32]) ).

fof(f47,plain,
    ( xsd_string(sK0)
    | ~ cc(io)
    | ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ xsd_integer(sK0) ),
    inference(subsumption_resolution,[],[f38,f32]) ).

fof(f38,plain,
    ( ~ cowlThing(io)
    | ~ cc(io)
    | xsd_string(sK0)
    | ~ cowlThing(sK1)
    | ~ xsd_integer(sK0)
    | cowlNothing(sK1) ),
    inference(literal_reordering,[],[f25]) ).

fof(f25,plain,
    ( ~ cowlThing(sK1)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | ~ cowlThing(io)
    | ~ cc(io)
    | cowlNothing(sK1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f52,plain,
    cc(io),
    inference(resolution,[],[f42,f31]) ).

fof(f31,plain,
    rp(ii,io),
    inference(literal_reordering,[],[f28]) ).

fof(f28,plain,
    rp(ii,io),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    rp(ii,io),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f42,plain,
    ! [X0] :
      ( ~ rp(ii,X0)
      | cc(X0) ),
    inference(resolution,[],[f33,f34]) ).

fof(f34,plain,
    cr(ii),
    inference(literal_reordering,[],[f19]) ).

fof(f19,plain,
    cr(ii),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    cr(ii),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ cr(X0)
      | cc(X1)
      | ~ rp(X0,X1) ),
    inference(literal_reordering,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( cc(X1)
      | ~ rp(X0,X1)
      | ~ cr(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rp(X0,X1) )
      | ~ cr(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cr(X0)
     => ! [X1] :
          ( rp(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n012.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
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 00:33:51 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (22511)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.49  % (22511)First to succeed.
% 0.20/0.49  % (22511)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (22511)------------------------------
% 0.20/0.50  % (22511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (22511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (22511)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (22511)Memory used [KB]: 5756
% 0.20/0.50  % (22511)Time elapsed: 0.005 s
% 0.20/0.50  % (22511)Instructions burned: 2 (million)
% 0.20/0.50  % (22511)------------------------------
% 0.20/0.50  % (22511)------------------------------
% 0.20/0.50  % (22496)Success in time 0.148 s
%------------------------------------------------------------------------------