↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:59:49 PM UTC 2026

% Result   : Theorem 0.11s 0.38s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  115 (  26 unt;  15 def)
%            Number of atoms       :  373 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  432 ( 174   ~; 180   |;  54   &)
%                                         (  23 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   31 (  30 usr;  16 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   49 (  42   !;   7   ?)

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

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

fof(f6,axiom,
    ! [X] :
      ( cC12(X)
    <=> ( cC2xcomp(X)
        & cC10xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( cC16(X)
    <=> ( cC8(X)
        & cC14(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X] :
      ( cC18(X)
    <=> ( cC16(X)
        & cTOP(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X] :
      ( cC6(X)
    <=> ( cC2xcomp(X)
        & cC4xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cC18(X)
        & cTOP(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    cTEST(iV16560),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    cC4xcomp(iV16561),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    cC2xcomp(iV16561),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    cC10xcomp(iV16562),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    cC2xcomp(iV16562),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,conjecture,
    ( cowlThing(iV16562)
    & cC12(iV16562)
    & cowlThing(iV16561)
    & cC6(iV16561)
    & cowlThing(iV16560)
    & cC16(iV16560)
    & cC8(iV16560)
    & cC14(iV16560)
    & cC18(iV16560)
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ~ ( cowlThing(iV16562)
      & cC12(iV16562)
      & cowlThing(iV16561)
      & cC6(iV16561)
      & cowlThing(iV16560)
      & cC16(iV16560)
      & cC8(iV16560)
      & cC14(iV16560)
      & cC18(iV16560)
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f31]) ).

fof(f33,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f34,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f35,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f36,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f2]) ).

fof(f37,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f36]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f39,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f57,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC10xcomp(X)
        | cC12(X) )
      & ( ( cC2xcomp(X)
          & cC10xcomp(X) )
        | ~ cC12(X) ) ),
    inference(NNF_transformation,[status(thm)],[f6]) ).

fof(f58,plain,
    ( ! [X] :
        ( ~ cC2xcomp(X)
        | ~ cC10xcomp(X)
        | cC12(X) )
    & ! [X] :
        ( ( cC2xcomp(X)
          & cC10xcomp(X) )
        | ~ cC12(X) ) ),
    inference(miniscoping,[status(thm)],[f57]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ cC2xcomp(X0)
      | ~ cC10xcomp(X0)
      | cC12(X0) ),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f68,plain,
    ! [X] :
      ( ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
      & ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(NNF_transformation,[status(thm)],[f8]) ).

fof(f69,plain,
    ( ! [X] :
        ( ~ cC8(X)
        | ~ cC14(X)
        | cC16(X) )
    & ! [X] :
        ( ( cC8(X)
          & cC14(X) )
        | ~ cC16(X) ) ),
    inference(miniscoping,[status(thm)],[f68]) ).

fof(f70,plain,
    ! [X0] :
      ( cC14(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( cC8(X0)
      | ~ cC16(X0) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ cC8(X0)
      | ~ cC14(X0)
      | cC16(X0) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f73,plain,
    ! [X] :
      ( ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
      & ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(NNF_transformation,[status(thm)],[f9]) ).

fof(f74,plain,
    ( ! [X] :
        ( ~ cC16(X)
        | ~ cTOP(X)
        | cC18(X) )
    & ! [X] :
        ( ( cC16(X)
          & cTOP(X) )
        | ~ cC18(X) ) ),
    inference(miniscoping,[status(thm)],[f73]) ).

fof(f76,plain,
    ! [X0] :
      ( cC16(X0)
      | ~ cC18(X0) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f106,plain,
    ! [X] :
      ( ( ~ cC2xcomp(X)
        | ~ cC4xcomp(X)
        | cC6(X) )
      & ( ( cC2xcomp(X)
          & cC4xcomp(X) )
        | ~ cC6(X) ) ),
    inference(NNF_transformation,[status(thm)],[f15]) ).

fof(f107,plain,
    ( ! [X] :
        ( ~ cC2xcomp(X)
        | ~ cC4xcomp(X)
        | cC6(X) )
    & ! [X] :
        ( ( cC2xcomp(X)
          & cC4xcomp(X) )
        | ~ cC6(X) ) ),
    inference(miniscoping,[status(thm)],[f106]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ cC2xcomp(X0)
      | ~ cC4xcomp(X0)
      | cC6(X0) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f117,plain,
    ! [X] :
      ( ( ~ cC18(X)
        | ~ cTOP(X)
        | cTEST(X) )
      & ( ( cC18(X)
          & cTOP(X) )
        | ~ cTEST(X) ) ),
    inference(NNF_transformation,[status(thm)],[f17]) ).

fof(f118,plain,
    ( ! [X] :
        ( ~ cC18(X)
        | ~ cTOP(X)
        | cTEST(X) )
    & ! [X] :
        ( ( cC18(X)
          & cTOP(X) )
        | ~ cTEST(X) ) ),
    inference(miniscoping,[status(thm)],[f117]) ).

fof(f120,plain,
    ! [X0] :
      ( cC18(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[status(thm)],[f118]) ).

fof(f123,plain,
    cTEST(iV16560),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f130,plain,
    cC4xcomp(iV16561),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f131,plain,
    cC2xcomp(iV16561),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f135,plain,
    cC10xcomp(iV16562),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f136,plain,
    cC2xcomp(iV16562),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f137,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ? [X] :
        ( xsd_string(X)
      <~> ~ xsd_integer(X) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f32]) ).

fof(f138,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ? [X] :
        ( ( xsd_integer(X)
          | ~ xsd_string(X) )
        & ( ~ xsd_integer(X)
          | xsd_string(X) ) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(NNF_transformation,[status(thm)],[f137]) ).

fof(f139,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ? [X] :
        ( ( xsd_integer(X)
          | ~ xsd_string(X) )
        & ( ~ xsd_integer(X)
          | xsd_string(X) ) )
    | ? [X] : cowlNothing(X)
    | ? [X] : ~ cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f138]) ).

fof(f140,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ( ( xsd_integer(sK12_skl)
        | ~ xsd_string(sK12_skl) )
      & ( ~ xsd_integer(sK12_skl)
        | xsd_string(sK12_skl) ) )
    | cowlNothing(sK11_skl)
    | ~ cowlThing(sK10_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl]),skolemize(X,sK10_skl),skolemize(X,sK11_skl),skolemize(X,sK12_skl)],[f139]) ).

fof(f141,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | ~ xsd_integer(sK12_skl)
    | xsd_string(sK12_skl)
    | cowlNothing(sK11_skl)
    | ~ cowlThing(sK10_skl) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f142,plain,
    ( ~ cowlThing(iV16562)
    | ~ cC12(iV16562)
    | ~ cowlThing(iV16561)
    | ~ cC6(iV16561)
    | ~ cowlThing(iV16560)
    | ~ cC16(iV16560)
    | ~ cC8(iV16560)
    | ~ cC14(iV16560)
    | ~ cC18(iV16560)
    | xsd_integer(sK12_skl)
    | ~ xsd_string(sK12_skl)
    | cowlNothing(sK11_skl)
    | ~ cowlThing(sK10_skl) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f143,definition,
    ( sQ0_spl
  <=> cowlThing(sK10_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f145,plain,
    ( sQ0_spl
    | ~ cowlThing(sK10_skl) ),
    inference(component_clause,[status(thm)],[f143]) ).

fof(f146,definition,
    ( sQ1_spl
  <=> cowlNothing(sK11_skl) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f147,plain,
    ( ~ sQ1_spl
    | cowlNothing(sK11_skl) ),
    inference(component_clause,[status(thm)],[f146]) ).

fof(f149,definition,
    ( sQ2_spl
  <=> xsd_string(sK12_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f150,plain,
    ( ~ sQ2_spl
    | xsd_string(sK12_skl) ),
    inference(component_clause,[status(thm)],[f149]) ).

fof(f151,plain,
    ( sQ2_spl
    | ~ xsd_string(sK12_skl) ),
    inference(component_clause,[status(thm)],[f149]) ).

fof(f152,definition,
    ( sQ3_spl
  <=> xsd_integer(sK12_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f153,plain,
    ( ~ sQ3_spl
    | xsd_integer(sK12_skl) ),
    inference(component_clause,[status(thm)],[f152]) ).

fof(f155,definition,
    ( sQ4_spl
  <=> cC18(iV16560) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f157,plain,
    ( sQ4_spl
    | ~ cC18(iV16560) ),
    inference(component_clause,[status(thm)],[f155]) ).

fof(f158,definition,
    ( sQ5_spl
  <=> cC14(iV16560) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f160,plain,
    ( sQ5_spl
    | ~ cC14(iV16560) ),
    inference(component_clause,[status(thm)],[f158]) ).

fof(f161,definition,
    ( sQ6_spl
  <=> cC8(iV16560) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f163,plain,
    ( sQ6_spl
    | ~ cC8(iV16560) ),
    inference(component_clause,[status(thm)],[f161]) ).

fof(f164,definition,
    ( sQ7_spl
  <=> cC16(iV16560) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f167,definition,
    ( sQ8_spl
  <=> cowlThing(iV16560) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f169,plain,
    ( sQ8_spl
    | ~ cowlThing(iV16560) ),
    inference(component_clause,[status(thm)],[f167]) ).

fof(f170,definition,
    ( sQ9_spl
  <=> cC6(iV16561) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f173,definition,
    ( sQ10_spl
  <=> cowlThing(iV16561) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f175,plain,
    ( sQ10_spl
    | ~ cowlThing(iV16561) ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f176,definition,
    ( sQ11_spl
  <=> cC12(iV16562) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f179,definition,
    ( sQ12_spl
  <=> cowlThing(iV16562) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f181,plain,
    ( sQ12_spl
    | ~ cowlThing(iV16562) ),
    inference(component_clause,[status(thm)],[f179]) ).

fof(f182,plain,
    ( ~ sQ12_spl
    | ~ sQ11_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ6_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | ~ sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f141,f143,f146,f149,f152,f155,f158,f161,f164,f167,f170,f173,f176,f179]) ).

fof(f183,plain,
    ( ~ sQ12_spl
    | ~ sQ11_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ6_spl
    | ~ sQ5_spl
    | ~ sQ4_spl
    | sQ3_spl
    | ~ sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f142,f143,f146,f149,f152,f155,f158,f161,f164,f167,f170,f173,f176,f179]) ).

fof(f184,plain,
    ( sQ12_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f181,f34]) ).

fof(f185,plain,
    sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f184]) ).

fof(f186,plain,
    cC18(iV16560),
    inference(resolution,[status(thm)],[f120,f123]) ).

fof(f187,plain,
    cC16(iV16560),
    inference(resolution,[status(thm)],[f186,f76]) ).

fof(f188,plain,
    cC14(iV16560),
    inference(resolution,[status(thm)],[f187,f70]) ).

fof(f189,plain,
    ( ~ cC8(iV16560)
    | cC16(iV16560) ),
    inference(resolution,[status(thm)],[f188,f72]) ).

fof(f190,plain,
    ( ~ sQ6_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f189,f164,f161]) ).

fof(f191,plain,
    ( sQ6_spl
    | ~ cC16(iV16560) ),
    inference(resolution,[status(thm)],[f163,f71]) ).

fof(f192,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f191,f187]) ).

fof(f193,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f192]) ).

fof(f205,plain,
    ( ~ cC2xcomp(iV16562)
    | cC12(iV16562) ),
    inference(resolution,[status(thm)],[f61,f135]) ).

fof(f208,definition,
    ( sQ13_spl
  <=> cC2xcomp(iV16562) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f210,plain,
    ( sQ13_spl
    | ~ cC2xcomp(iV16562) ),
    inference(component_clause,[status(thm)],[f208]) ).

fof(f211,plain,
    ( ~ sQ13_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f205,f176,f208]) ).

fof(f212,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f34]) ).

fof(f213,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f212]) ).

fof(f223,plain,
    ( ~ cC2xcomp(iV16561)
    | cC6(iV16561) ),
    inference(resolution,[status(thm)],[f110,f130]) ).

fof(f225,definition,
    ( sQ14_spl
  <=> cC2xcomp(iV16561) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f227,plain,
    ( sQ14_spl
    | ~ cC2xcomp(iV16561) ),
    inference(component_clause,[status(thm)],[f225]) ).

fof(f228,plain,
    ( ~ sQ14_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f223,f170,f225]) ).

fof(f229,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f169,f34]) ).

fof(f230,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f229]) ).

fof(f231,plain,
    ( sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f160,f188]) ).

fof(f232,plain,
    sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f231]) ).

fof(f233,plain,
    ( sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f157,f186]) ).

fof(f234,plain,
    sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f233]) ).

fof(f235,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f147,f35]) ).

fof(f236,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f235]) ).

fof(f237,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f145,f34]) ).

fof(f238,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f237]) ).

fof(f241,plain,
    ( ~ sQ3_spl
    | ~ xsd_string(sK12_skl) ),
    inference(resolution,[status(thm)],[f153,f38]) ).

fof(f242,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f241,f150]) ).

fof(f243,plain,
    ( ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f242]) ).

fof(f244,plain,
    ( sQ2_spl
    | xsd_integer(sK12_skl) ),
    inference(resolution,[status(thm)],[f151,f39]) ).

fof(f245,plain,
    ( sQ2_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f244,f152,f149]) ).

fof(f246,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f227,f131]) ).

fof(f247,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f246]) ).

fof(f248,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f210,f136]) ).

fof(f249,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f248]) ).

fof(f250,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f182,f183,f185,f190,f193,f211,f213,f228,f230,f232,f234,f236,f238,f243,f245,f247,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS158+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n002.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sun Sep 20 22:57:47 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.37  % Drodi V4.1.1
% 0.11/0.38  % Refutation found
% 0.11/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.40  % Elapsed time: 0.039968 seconds
% 0.11/0.40  % CPU time: 0.110378 seconds
% 0.11/0.40  % Total memory used: 16.942 MB
% 0.11/0.40  % Net memory used: 16.857 MB
%------------------------------------------------------------------------------