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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KRS140+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 : n010.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 12:59:47 PM UTC 2026

% Result   : Theorem 0.15s 5.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  111 (  12 unt;  14 def)
%            Number of atoms       :  362 (  30 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  429 ( 178   ~; 198   |;  30   &)
%                                         (  17 <=>;   4  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  14 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   74 (  56   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y] :
      ( rsymProp(X,Y)
     => ( Y = ib
        | Y = ia ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] :
      ( rsymProp(X,Y)
     => rsymProp(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    rsymProp(ia,ia),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    rsymProp(ib,ib),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,conjecture,
    ( ? [X] :
        ( cowlThing(X)
        & rsymProp(ia,X) )
    & ! [X,Y,Z] :
        ( ( rsymProp(Y,Z)
          & rsymProp(X,Y) )
       => rsymProp(X,Z) )
    & ! [X] :
        ( xsd_string(X)
      <=> ~ xsd_integer(X) )
    & ! [X] :
        ( ~ cowlNothing(X)
        & cowlThing(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ ( ? [X] :
          ( cowlThing(X)
          & rsymProp(ia,X) )
      & ! [X,Y,Z] :
          ( ( rsymProp(Y,Z)
            & rsymProp(X,Y) )
         => rsymProp(X,Z) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & ! [X] :
          ( ~ cowlNothing(X)
          & cowlThing(X) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f35,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f36,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f37,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f38,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f8]) ).

fof(f39,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f38]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f41,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f42,plain,
    ! [X,Y] :
      ( Y = ib
      | Y = ia
      | ~ rsymProp(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f43,plain,
    ! [Y] :
      ( Y = ib
      | Y = ia
      | ! [X] : ~ rsymProp(X,Y) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( X1 = ib
      | X1 = ia
      | ~ rsymProp(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f45,plain,
    ! [X,Y] :
      ( rsymProp(Y,X)
      | ~ rsymProp(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( rsymProp(X1,X0)
      | ~ rsymProp(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f48,plain,
    rsymProp(ia,ia),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f50,plain,
    rsymProp(ib,ib),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f51,plain,
    ( ! [X] :
        ( ~ cowlThing(X)
        | ~ rsymProp(ia,X) )
    | ? [X,Y,Z] :
        ( ~ rsymProp(X,Z)
        & rsymProp(Y,Z)
        & rsymProp(X,Y) )
    | ? [X] :
        ( xsd_string(X)
      <~> ~ xsd_integer(X) )
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f16]) ).

fof(f52,definition,
    ! [X] :
      ( sP0_prd(X)
    <=> ( xsd_string(X)
      <~> ~ xsd_integer(X) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f53,plain,
    ( ! [X] :
        ( ~ cowlThing(X)
        | ~ rsymProp(ia,X) )
    | ? [X,Y,Z] :
        ( ~ rsymProp(X,Z)
        & rsymProp(Y,Z)
        & rsymProp(X,Y) )
    | ? [X] : sP0_prd(X)
    | ? [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(formula_renaming,[status(thm)],[f51,f52]) ).

fof(f54,plain,
    ( ! [X] :
        ( ~ cowlThing(X)
        | ~ rsymProp(ia,X) )
    | ? [X,Z] :
        ( ~ rsymProp(X,Z)
        & ? [Y] :
            ( rsymProp(Y,Z)
            & rsymProp(X,Y) ) )
    | ? [X] : sP0_prd(X)
    | ? [X] : cowlNothing(X)
    | ? [X] : ~ cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f53]) ).

fof(f55,plain,
    ( ! [X] :
        ( ~ cowlThing(X)
        | ~ rsymProp(ia,X) )
    | ( ~ rsymProp(sK3_skl,sK4_skl)
      & rsymProp(sK5_skl,sK4_skl)
      & rsymProp(sK3_skl,sK5_skl) )
    | sP0_prd(sK2_skl)
    | cowlNothing(sK1_skl)
    | ~ cowlThing(sK0_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl),skolemize(X,sK2_skl),skolemize(X,sK3_skl),skolemize(Z,sK4_skl),skolemize(Y,sK5_skl)],[f54]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK3_skl,sK5_skl)
      | sP0_prd(sK2_skl)
      | cowlNothing(sK1_skl)
      | ~ cowlThing(sK0_skl) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK5_skl,sK4_skl)
      | sP0_prd(sK2_skl)
      | cowlNothing(sK1_skl)
      | ~ cowlThing(sK0_skl) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3_skl,sK4_skl)
      | sP0_prd(sK2_skl)
      | cowlNothing(sK1_skl)
      | ~ cowlThing(sK0_skl) ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f59,plain,
    ! [X] :
      ( ( ( ( xsd_integer(X)
            | xsd_string(X) )
          & ( ~ xsd_integer(X)
            | ~ xsd_string(X) ) )
        | sP0_prd(X) )
      & ( ( ( xsd_integer(X)
            | ~ xsd_string(X) )
          & ( ~ xsd_integer(X)
            | xsd_string(X) ) )
        | ~ sP0_prd(X) ) ),
    inference(NNF_transformation,[status(thm)],[f52]) ).

fof(f60,plain,
    ( ! [X] :
        ( ( ( xsd_integer(X)
            | xsd_string(X) )
          & ( ~ xsd_integer(X)
            | ~ xsd_string(X) ) )
        | sP0_prd(X) )
    & ! [X] :
        ( ( ( xsd_integer(X)
            | ~ xsd_string(X) )
          & ( ~ xsd_integer(X)
            | xsd_string(X) ) )
        | ~ sP0_prd(X) ) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | xsd_string(X0)
      | ~ sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f62,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | ~ xsd_string(X0)
      | ~ sP0_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f65,definition,
    ( sQ0_spl
  <=> cowlThing(sK0_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f67,plain,
    ( sQ0_spl
    | ~ cowlThing(sK0_skl) ),
    inference(component_clause,[status(thm)],[f65]) ).

fof(f68,definition,
    ( sQ1_spl
  <=> cowlNothing(sK1_skl) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f69,plain,
    ( ~ sQ1_spl
    | cowlNothing(sK1_skl) ),
    inference(component_clause,[status(thm)],[f68]) ).

fof(f71,definition,
    ( sQ2_spl
  <=> sP0_prd(sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f72,plain,
    ( ~ sQ2_spl
    | sP0_prd(sK2_skl) ),
    inference(component_clause,[status(thm)],[f71]) ).

fof(f74,definition,
    ( sQ3_spl
  <=> rsymProp(sK3_skl,sK5_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f75,plain,
    ( ~ sQ3_spl
    | rsymProp(sK3_skl,sK5_skl) ),
    inference(component_clause,[status(thm)],[f74]) ).

fof(f77,definition,
    ! [X0] :
      ( sQ4_spl
    <=> ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ cowlThing(X0)
      | ~ rsymProp(ia,X0) ),
    inference(component_clause,[status(thm)],[f77]) ).

fof(f80,plain,
    ( sQ4_spl
    | sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f56,f65,f68,f71,f74,f77]) ).

fof(f81,definition,
    ( sQ5_spl
  <=> rsymProp(sK5_skl,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f82,plain,
    ( ~ sQ5_spl
    | rsymProp(sK5_skl,sK4_skl) ),
    inference(component_clause,[status(thm)],[f81]) ).

fof(f84,plain,
    ( sQ4_spl
    | sQ5_spl
    | sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f57,f65,f68,f71,f81,f77]) ).

fof(f85,definition,
    ( sQ6_spl
  <=> rsymProp(sK3_skl,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f87,plain,
    ( sQ6_spl
    | ~ rsymProp(sK3_skl,sK4_skl) ),
    inference(component_clause,[status(thm)],[f85]) ).

fof(f88,plain,
    ( sQ4_spl
    | ~ sQ6_spl
    | sQ2_spl
    | sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f58,f65,f68,f71,f85,f77]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ sP0_prd(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f61,f40]) ).

fof(f90,plain,
    ! [X0] : ~ sP0_prd(X0),
    inference(backward_subsumption_resolution,[status(thm)],[f89,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | ~ sP0_prd(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f62,f41]) ).

fof(f92,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f48,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ rsymProp(ia,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f78,f36]) ).

fof(f94,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f92]) ).

fof(f95,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f72,f90]) ).

fof(f96,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f95]) ).

fof(f97,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f69,f37]) ).

fof(f98,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f97]) ).

fof(f99,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f67,f36]) ).

fof(f100,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f99]) ).

fof(f105,plain,
    ( ~ sQ5_spl
    | sK4_skl = ib
    | sK4_skl = ia ),
    inference(resolution,[status(thm)],[f44,f82]) ).

fof(f106,plain,
    ( ~ sQ3_spl
    | sK5_skl = ib
    | sK5_skl = ia ),
    inference(resolution,[status(thm)],[f44,f75]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X0,X1)
      | X0 = ib
      | X0 = ia ),
    inference(resolution,[status(thm)],[f44,f46]) ).

fof(f119,definition,
    ( sQ10_spl
  <=> sK4_skl = ia ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f120,plain,
    ( ~ sQ10_spl
    | sK4_skl = ia ),
    inference(component_clause,[status(thm)],[f119]) ).

fof(f122,definition,
    ( sQ11_spl
  <=> sK4_skl = ib ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f123,plain,
    ( ~ sQ11_spl
    | sK4_skl = ib ),
    inference(component_clause,[status(thm)],[f122]) ).

fof(f125,plain,
    ( ~ sQ5_spl
    | sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f105,f119,f122,f81]) ).

fof(f126,definition,
    ( sQ12_spl
  <=> sK5_skl = ia ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f127,plain,
    ( ~ sQ12_spl
    | sK5_skl = ia ),
    inference(component_clause,[status(thm)],[f126]) ).

fof(f129,definition,
    ( sQ13_spl
  <=> sK5_skl = ib ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f130,plain,
    ( ~ sQ13_spl
    | sK5_skl = ib ),
    inference(component_clause,[status(thm)],[f129]) ).

fof(f132,plain,
    ( ~ sQ3_spl
    | sQ13_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f106,f126,f129,f74]) ).

fof(f137,plain,
    ( sQ6_spl
    | ~ sQ10_spl
    | ~ rsymProp(sK3_skl,ia) ),
    inference(backward_demodulation,[status(thm)],[f120,f87]) ).

fof(f139,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | rsymProp(sK3_skl,ia) ),
    inference(backward_demodulation,[status(thm)],[f127,f75]) ).

fof(f144,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sQ6_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f139,f137]) ).

fof(f145,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sQ6_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f144]) ).

fof(f155,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | rsymProp(ib,sK4_skl) ),
    inference(backward_demodulation,[status(thm)],[f130,f82]) ).

fof(f156,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | rsymProp(sK3_skl,ib) ),
    inference(backward_demodulation,[status(thm)],[f130,f75]) ).

fof(f158,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ rsymProp(sK3_skl,ib) ),
    inference(backward_demodulation,[status(thm)],[f123,f87]) ).

fof(f161,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ3_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f158,f156]) ).

fof(f162,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ3_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f161]) ).

fof(f163,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | rsymProp(sK5_skl,ib) ),
    inference(forward_demodulation,[status(thm)],[f123,f82]) ).

fof(f166,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | ~ sQ12_spl
    | rsymProp(ia,ib) ),
    inference(backward_demodulation,[status(thm)],[f127,f163]) ).

fof(f168,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sK3_skl = ib
    | sK3_skl = ia ),
    inference(resolution,[status(thm)],[f107,f139]) ).

fof(f173,definition,
    ( sQ14_spl
  <=> sK3_skl = ia ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ( ~ sQ14_spl
    | sK3_skl = ia ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f176,definition,
    ( sQ15_spl
  <=> sK3_skl = ib ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f177,plain,
    ( ~ sQ15_spl
    | sK3_skl = ib ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,plain,
    ( ~ sQ3_spl
    | ~ sQ12_spl
    | sQ15_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f168,f173,f176,f126,f74]) ).

fof(f184,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ14_spl
    | ~ rsymProp(ia,ib) ),
    inference(backward_demodulation,[status(thm)],[f174,f158]) ).

fof(f186,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ14_spl
    | ~ sQ5_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f184,f166]) ).

fof(f187,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ14_spl
    | ~ sQ5_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f186]) ).

fof(f190,plain,
    ( ~ sQ5_spl
    | ~ sQ13_spl
    | ~ sQ10_spl
    | rsymProp(ib,ia) ),
    inference(backward_demodulation,[status(thm)],[f120,f155]) ).

fof(f191,plain,
    ( sQ6_spl
    | ~ sQ10_spl
    | ~ rsymProp(sK3_skl,ia) ),
    inference(backward_demodulation,[status(thm)],[f120,f87]) ).

fof(f202,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ15_spl
    | ~ rsymProp(ib,ib) ),
    inference(forward_demodulation,[status(thm)],[f177,f158]) ).

fof(f204,plain,
    ( sQ6_spl
    | ~ sQ15_spl
    | ~ rsymProp(ib,sK4_skl) ),
    inference(forward_demodulation,[status(thm)],[f177,f87]) ).

fof(f213,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f50,f202]) ).

fof(f214,plain,
    ( sQ6_spl
    | ~ sQ11_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f213]) ).

fof(f236,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sK3_skl = ib
    | sK3_skl = ia ),
    inference(resolution,[status(thm)],[f156,f107]) ).

fof(f238,plain,
    ( ~ sQ3_spl
    | ~ sQ13_spl
    | sQ15_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f236,f173,f176,f129,f74]) ).

fof(f240,plain,
    ( sQ6_spl
    | ~ sQ10_spl
    | ~ sQ14_spl
    | ~ rsymProp(ia,ia) ),
    inference(backward_demodulation,[status(thm)],[f174,f191]) ).

fof(f242,plain,
    ( sQ6_spl
    | ~ sQ10_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f240,f48]) ).

fof(f243,plain,
    ( sQ6_spl
    | ~ sQ10_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f242]) ).

fof(f245,plain,
    ( sQ6_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ rsymProp(ib,ia) ),
    inference(forward_demodulation,[status(thm)],[f120,f204]) ).

fof(f246,plain,
    ( sQ6_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ5_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f245,f190]) ).

fof(f247,plain,
    ( sQ6_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ5_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f246]) ).

fof(f248,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f80,f84,f88,f94,f96,f98,f100,f125,f132,f145,f162,f179,f187,f214,f238,f243,f247]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37  % Computer : n010.cluster.edu
% 0.11/5.37  % Model    : x86_64 x86_64
% 0.11/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37  % Memory   : 8046.5625MB
% 0.11/5.37  % OS       : Linux 6.8.0-71-generic
% 0.11/5.37  % CPULimit : 300
% 0.11/5.37  % WCLimit  : 300
% 0.11/5.37  % DateTime : Sun Sep 20 22:54:33 UTC 2026
% 0.11/5.37  % CPUTime  : 
% 0.11/5.38  % Drodi V4.1.1
% 0.15/5.40  % Refutation found
% 0.15/5.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.43  % Elapsed time: 0.051050 seconds
% 0.15/5.43  % CPU time: 0.153278 seconds
% 0.15/5.43  % Total memory used: 80.569 MB
% 0.15/5.43  % Net memory used: 80.312 MB
%------------------------------------------------------------------------------