TSTP Solution File: KRS129+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS129+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 : n024.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 17:30:53 EDT 2022

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   49 (   9 unt;   0 def)
%            Number of atoms       :  116 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  113 (  46   ~;  38   |;  13   &)
%                                         (  15 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,plain,
    $false,
    inference(avatar_sat_refutation,[],[f146,f147,f161,f170,f172,f174,f176,f179]) ).

fof(f179,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f178]) ).

fof(f178,plain,
    ( $false
    | ~ spl3_5 ),
    inference(resolution,[],[f145,f92]) ).

fof(f92,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f145,plain,
    ( cowlNothing(sK1)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl3_5
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f176,plain,
    ( ~ spl3_1
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f175,f135,f127]) ).

fof(f127,plain,
    ( spl3_1
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f135,plain,
    ( spl3_3
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f175,plain,
    ( ~ xsd_integer(sK0)
    | ~ spl3_3 ),
    inference(resolution,[],[f137,f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f137,plain,
    ( xsd_string(sK0)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f174,plain,
    ( spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f173,f135,f127]) ).

fof(f173,plain,
    ( xsd_integer(sK0)
    | spl3_3 ),
    inference(resolution,[],[f136,f73]) ).

fof(f73,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f136,plain,
    ( ~ xsd_string(sK0)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f172,plain,
    spl3_4,
    inference(avatar_contradiction_clause,[],[f171]) ).

fof(f171,plain,
    ( $false
    | spl3_4 ),
    inference(resolution,[],[f141,f93]) ).

fof(f93,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f29]) ).

fof(f141,plain,
    ( ~ cowlThing(sK1)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl3_4
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f170,plain,
    spl3_6,
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | spl3_6 ),
    inference(resolution,[],[f160,f93]) ).

fof(f160,plain,
    ( ~ cowlThing(iUK)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl3_6
  <=> cowlThing(iUK) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f161,plain,
    ( ~ spl3_6
    | spl3_2 ),
    inference(avatar_split_clause,[],[f155,f131,f158]) ).

fof(f131,plain,
    ( spl3_2
  <=> cEuroMP(iKinnock) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f155,plain,
    ( cEuroMP(iKinnock)
    | ~ cowlThing(iUK) ),
    inference(resolution,[],[f107,f150]) ).

fof(f150,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(resolution,[],[f99,f96]) ).

fof(f96,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ rhasEuroMP(X1,X0)
      | risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( risEuroMPFrom(X0,X1)
    <=> rhasEuroMP(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( risEuroMPFrom(X3,X4)
    <=> rhasEuroMP(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ risEuroMPFrom(X0,X1)
      | cEuroMP(X0)
      | ~ cowlThing(X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( cEuroMP(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & risEuroMPFrom(X0,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( ? [X4] :
          ( cowlThing(X4)
          & risEuroMPFrom(X3,X4) )
    <=> cEuroMP(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f147,plain,
    ( ~ spl3_4
    | spl3_5
    | spl3_1
    | ~ spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f103,f131,f135,f127,f143,f139]) ).

fof(f103,plain,
    ( ~ cEuroMP(iKinnock)
    | ~ xsd_string(sK0)
    | xsd_integer(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ~ cEuroMP(iKinnock) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & cEuroMP(iKinnock) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ( ! [X3] :
          ( ~ xsd_integer(X3)
        <=> xsd_string(X3) )
      & cEuroMP(iKinnock)
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ( ! [X3] :
        ( ~ xsd_integer(X3)
      <=> xsd_string(X3) )
    & cEuroMP(iKinnock)
    & ! [X3] :
        ( ~ cowlNothing(X3)
        & cowlThing(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f146,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | spl3_3
    | ~ spl3_4
    | spl3_5 ),
    inference(avatar_split_clause,[],[f104,f143,f139,f135,f131,f127]) ).

fof(f104,plain,
    ( cowlNothing(sK1)
    | ~ cowlThing(sK1)
    | xsd_string(sK0)
    | ~ cEuroMP(iKinnock)
    | ~ xsd_integer(sK0) ),
    inference(cnf_transformation,[],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS129+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.32  % Computer : n024.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 00:36:49 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.17/0.46  % (6497)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.46  % (6472)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.47  % (6481)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.47  % (6472)First to succeed.
% 0.17/0.48  % (6472)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Theorem for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (6472)------------------------------
% 0.17/0.48  % (6472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (6472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (6472)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (6472)Memory used [KB]: 5500
% 0.17/0.48  % (6472)Time elapsed: 0.100 s
% 0.17/0.48  % (6472)Instructions burned: 3 (million)
% 0.17/0.48  % (6472)------------------------------
% 0.17/0.48  % (6472)------------------------------
% 0.17/0.48  % (6466)Success in time 0.143 s
%------------------------------------------------------------------------------