TSTP Solution File: KRS152+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS152+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_uns --cores 0 -t %d %s

% Computer : n025.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 17:29:51 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   49 (  14 unt;   0 def)
%            Number of atoms       :  156 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  190 (  83   ~;  76   |;  21   &)
%                                         (   9 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (  17   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(avatar_sat_refutation,[],[f71,f77,f85,f91]) ).

fof(f91,plain,
    ( spl3_3
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f86,f60,f68]) ).

fof(f68,plain,
    ( spl3_3
  <=> cC12(iV21080) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f60,plain,
    ( spl3_1
  <=> cC10(iV21081) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f86,plain,
    ( cC12(iV21080)
    | ~ spl3_1 ),
    inference(unit_resulting_resolution,[],[f53,f61,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | cC12(X0)
      | ~ cC10(X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cC12(X0)
    <=> ? [X1] :
          ( cC10(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f61,plain,
    ( cC10(iV21081)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f53,plain,
    rR1(iV21080,iV21081),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    rR1(iV21080,iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f85,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f84]) ).

fof(f84,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f79,f33]) ).

fof(f33,plain,
    cC4(iV21081),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    cC4(iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f79,plain,
    ( ~ cC4(iV21081)
    | spl3_1 ),
    inference(unit_resulting_resolution,[],[f52,f62,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC2(X0)
      | cC10(X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ( cC4(X0)
        & cC2(X0) )
    <=> cC10(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f62,plain,
    ( ~ cC10(iV21081)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f52,plain,
    cC2(iV21081),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    cC2(iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f77,plain,
    ( ~ spl3_3
    | ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f76,f64,f60,f68]) ).

fof(f64,plain,
    ( spl3_2
  <=> xsd_integer(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f76,plain,
    ( ~ xsd_integer(sK2)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080) ),
    inference(subsumption_resolution,[],[f75,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f75,plain,
    ( ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | xsd_string(sK2)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f74,f35]) ).

fof(f35,plain,
    cowlThing(iV21081),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    cowlThing(iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f74,plain,
    ( ~ cC12(iV21080)
    | xsd_string(sK2)
    | ~ cC10(iV21081)
    | ~ cowlThing(iV21081)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f73,f46]) ).

fof(f46,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f73,plain,
    ( cowlNothing(sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21081) ),
    inference(subsumption_resolution,[],[f72,f44]) ).

fof(f44,plain,
    cowlThing(iV21080),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cowlThing(iV21080),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f72,plain,
    ( ~ cowlThing(iV21080)
    | ~ cC12(iV21080)
    | cowlNothing(sK1)
    | ~ cowlThing(iV21081)
    | xsd_string(sK2)
    | ~ cC10(iV21081)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f42,f47]) ).

fof(f47,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f42,plain,
    ( ~ cC10(iV21081)
    | xsd_string(sK2)
    | ~ xsd_integer(sK2)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV21081)
    | cowlNothing(sK1)
    | ~ cowlThing(iV21080)
    | ~ cC12(iV21080) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ~ cowlThing(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ~ cC10(iV21081) ),
    inference(ennf_transformation,[],[f19]) ).

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

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

fof(f17,conjecture,
    ( cowlThing(iV21080)
    & cC10(iV21081)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cC12(iV21080)
    & cowlThing(iV21081) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f71,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f58,f68,f64,f60]) ).

fof(f58,plain,
    ( ~ cC12(iV21080)
    | xsd_integer(sK2)
    | ~ cC10(iV21081) ),
    inference(subsumption_resolution,[],[f57,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f57,plain,
    ( ~ xsd_string(sK2)
    | ~ cC12(iV21080)
    | ~ cC10(iV21081)
    | xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f56,f47]) ).

fof(f56,plain,
    ( ~ cC10(iV21081)
    | xsd_integer(sK2)
    | ~ cC12(iV21080)
    | ~ cowlThing(sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f55,f44]) ).

fof(f55,plain,
    ( ~ cC10(iV21081)
    | ~ cowlThing(iV21080)
    | ~ cC12(iV21080)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK1)
    | xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f54,f46]) ).

fof(f54,plain,
    ( xsd_integer(sK2)
    | cowlNothing(sK1)
    | ~ cC12(iV21080)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV21080)
    | ~ xsd_string(sK2)
    | ~ cC10(iV21081) ),
    inference(subsumption_resolution,[],[f43,f35]) ).

fof(f43,plain,
    ( xsd_integer(sK2)
    | ~ cC10(iV21081)
    | ~ cowlThing(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(sK1)
    | ~ cowlThing(iV21080)
    | ~ xsd_string(sK2)
    | cowlNothing(sK1) ),
    inference(cnf_transformation,[],[f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:43:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (786)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (776)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51  % (782)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51  % (786)First to succeed.
% 0.19/0.51  % (786)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (786)------------------------------
% 0.19/0.51  % (786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (786)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (786)Memory used [KB]: 5884
% 0.19/0.51  % (786)Time elapsed: 0.104 s
% 0.19/0.51  % (786)Instructions burned: 2 (million)
% 0.19/0.51  % (786)------------------------------
% 0.19/0.51  % (786)------------------------------
% 0.19/0.51  % (775)Success in time 0.162 s
%------------------------------------------------------------------------------