TSTP Solution File: KRS148+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS148+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 : n023.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 17:29:50 EDT 2022

% Result   : Theorem 1.35s 0.53s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (   9 unt;   0 def)
%            Number of atoms       :  218 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  275 ( 117   ~; 112   |;  32   &)
%                                         (  10 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   5 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f186,plain,
    $false,
    inference(avatar_sat_refutation,[],[f151,f161,f174,f182,f185]) ).

fof(f185,plain,
    ( ~ spl3_1
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f184,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f183,f160]) ).

fof(f160,plain,
    ( xsd_integer(sK2)
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl3_4
  <=> xsd_integer(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f183,plain,
    ( ~ xsd_integer(sK2)
    | ~ spl3_1 ),
    inference(unit_resulting_resolution,[],[f142,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) )
      & ( xsd_string(X0)
        | xsd_integer(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f142,plain,
    ( xsd_string(sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl3_1
  <=> xsd_string(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f182,plain,
    spl3_3,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | spl3_3 ),
    inference(subsumption_resolution,[],[f177,f130]) ).

fof(f130,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f177,plain,
    ( ~ cTEST(iV5475)
    | spl3_3 ),
    inference(unit_resulting_resolution,[],[f150,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC140(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cC140(X0)
        & cC116(X0) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC140(X0)
        & cC116(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f72]) ).

fof(f72,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC140(X0)
        & cC116(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f150,plain,
    ( ~ cC140(iV5475)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl3_3
  <=> cC140(iV5475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f174,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f162,f130]) ).

fof(f162,plain,
    ( ~ cTEST(iV5475)
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f146,f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f146,plain,
    ( ~ cC116(iV5475)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl3_2
  <=> cC116(iV5475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f161,plain,
    ( ~ spl3_2
    | spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f156,f148,f158,f144]) ).

fof(f156,plain,
    ( ~ cC140(iV5475)
    | xsd_integer(sK2)
    | ~ cC116(iV5475) ),
    inference(subsumption_resolution,[],[f155,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ cC140(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ( ( cTOP(X0)
          & cC138(X0) )
        | ~ cC140(X0) )
      & ( cC140(X0)
        | ~ cTOP(X0)
        | ~ cC138(X0) ) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( ( cTOP(X0)
          & cC138(X0) )
        | ~ cC140(X0) )
      & ( cC140(X0)
        | ~ cTOP(X0)
        | ~ cC138(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ( cTOP(X0)
        & cC138(X0) )
    <=> cC140(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f155,plain,
    ( ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | xsd_integer(sK2)
    | ~ cC116(iV5475) ),
    inference(subsumption_resolution,[],[f154,f114]) ).

fof(f114,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f154,plain,
    ( ~ xsd_string(sK2)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475)
    | xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f153,f123]) ).

fof(f123,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(f153,plain,
    ( ~ cowlThing(sK1)
    | xsd_integer(sK2)
    | ~ cC116(iV5475)
    | ~ xsd_string(sK2)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f152,f124]) ).

fof(f124,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f152,plain,
    ( xsd_integer(sK2)
    | ~ cC116(iV5475)
    | cowlNothing(sK1)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK1)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f126,f133]) ).

fof(f133,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(f126,plain,
    ( ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ cC138(iV5475)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ cC138(iV5475)
    | ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) )
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f104,f106,f105]) ).

fof(f105,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
   => ( ~ cowlThing(sK1)
      | cowlNothing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ( ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
   => ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cC138(iV5475)
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cC138(iV5475)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ~ ( cC116(iV5475)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cowlThing(iV5475)
      & ! [X1] :
          ( ~ xsd_integer(X1)
        <=> xsd_string(X1) )
      & cC138(iV5475)
      & cC140(iV5475) ),
    inference(rectify,[],[f91]) ).

fof(f91,negated_conjecture,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC116(iV5475)
      & ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) )
      & cC138(iV5475)
      & cowlThing(iV5475)
      & cC140(iV5475) ),
    inference(negated_conjecture,[],[f90]) ).

fof(f90,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cC116(iV5475)
    & ! [X0] :
        ( ~ xsd_integer(X0)
      <=> xsd_string(X0) )
    & cC138(iV5475)
    & cowlThing(iV5475)
    & cC140(iV5475) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f151,plain,
    ( spl3_1
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f138,f148,f144,f140]) ).

fof(f138,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f137,f114]) ).

fof(f137,plain,
    ( ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f136,f128]) ).

fof(f136,plain,
    ( ~ cC116(iV5475)
    | xsd_string(sK2)
    | ~ xsd_integer(sK2)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f135,f133]) ).

fof(f135,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | xsd_string(sK2)
    | ~ xsd_integer(sK2) ),
    inference(subsumption_resolution,[],[f134,f124]) ).

fof(f134,plain,
    ( xsd_string(sK2)
    | cowlNothing(sK1)
    | ~ cC140(iV5475)
    | ~ xsd_integer(sK2)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475) ),
    inference(subsumption_resolution,[],[f125,f123]) ).

fof(f125,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(sK1)
    | cowlNothing(sK1)
    | ~ xsd_integer(sK2)
    | ~ cC116(iV5475)
    | xsd_string(sK2)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475) ),
    inference(cnf_transformation,[],[f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KRS148+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % 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 : n023.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 00:55:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (4512)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.19/0.52  % (4493)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.19/0.52  % (4496)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.19/0.53  % (4508)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.19/0.53  % (4496)Refutation not found, incomplete strategy% (4496)------------------------------
% 1.19/0.53  % (4496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (4496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (4496)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.53  
% 1.19/0.53  % (4496)Memory used [KB]: 6012
% 1.19/0.53  % (4496)Time elapsed: 0.002 s
% 1.19/0.53  % (4496)Instructions burned: 2 (million)
% 1.19/0.53  % (4496)------------------------------
% 1.19/0.53  % (4496)------------------------------
% 1.19/0.53  % (4504)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.19/0.53  % (4505)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.19/0.53  % (4504)Instruction limit reached!
% 1.19/0.53  % (4504)------------------------------
% 1.19/0.53  % (4504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (4504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (4504)Termination reason: Unknown
% 1.35/0.53  % (4509)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.35/0.53  % (4504)Termination phase: Preprocessing 3
% 1.35/0.53  
% 1.35/0.53  % (4504)Memory used [KB]: 1535
% 1.35/0.53  % (4504)Time elapsed: 0.004 s
% 1.35/0.53  % (4504)Instructions burned: 3 (million)
% 1.35/0.53  % (4504)------------------------------
% 1.35/0.53  % (4504)------------------------------
% 1.35/0.53  % (4505)Instruction limit reached!
% 1.35/0.53  % (4505)------------------------------
% 1.35/0.53  % (4505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53  % (4518)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.35/0.53  % (4493)First to succeed.
% 1.35/0.53  % (4493)Refutation found. Thanks to Tanya!
% 1.35/0.53  % SZS status Theorem for theBenchmark
% 1.35/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.53  % (4493)------------------------------
% 1.35/0.53  % (4493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53  % (4493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53  % (4493)Termination reason: Refutation
% 1.35/0.53  
% 1.35/0.53  % (4493)Memory used [KB]: 6012
% 1.35/0.53  % (4493)Time elapsed: 0.113 s
% 1.35/0.53  % (4493)Instructions burned: 2 (million)
% 1.35/0.53  % (4493)------------------------------
% 1.35/0.53  % (4493)------------------------------
% 1.35/0.53  % (4488)Success in time 0.179 s
%------------------------------------------------------------------------------