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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SEU025+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 02:19:06 PM UTC 2026

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  108 (  25 unt;  16 def)
%            Number of atoms       :  266 (  43 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  256 (  98   ~; 100   |;  28   &)
%                                         (  16 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   24 (  22 usr;  17 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [A] :
      ( ( function(A)
        & relation(A) )
     => ( function(function_inverse(A))
        & relation(function_inverse(A)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ( relation_empty_yielding(empty_set)
    & relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ? [A] :
      ( function(A)
      & empty(A)
      & relation(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ? [A] :
      ( relation(A)
      & ~ empty(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ? [A] :
      ( one_to_one(A)
      & function(A)
      & relation(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [A,B] : subset(A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( relation(B)
         => ( subset(relation_rng(A),relation_dom(B))
           => relation_dom(relation_composition(A,B)) = relation_dom(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( relation(B)
         => ( subset(relation_dom(A),relation_rng(B))
           => relation_rng(relation_composition(B,A)) = relation_rng(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [A] :
      ( ( function(A)
        & relation(A) )
     => ( one_to_one(A)
       => ( relation_dom(A) = relation_rng(function_inverse(A))
          & relation_rng(A) = relation_dom(function_inverse(A)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [A] :
      ( ( function(A)
        & relation(A) )
     => ( one_to_one(A)
       => ( relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A)
          & relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [A] :
        ( ( function(A)
          & relation(A) )
       => ( one_to_one(A)
         => ( relation_rng(relation_composition(A,function_inverse(A))) = relation_dom(A)
            & relation_dom(relation_composition(A,function_inverse(A))) = relation_dom(A) ) ) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f40,axiom,
    ! [A] :
      ( empty(A)
     => A = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,plain,
    ! [A] :
      ( ( function(function_inverse(A))
        & relation(function_inverse(A)) )
      | ~ function(A)
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f54,plain,
    ! [X0] :
      ( relation(function_inverse(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f63,plain,
    empty(empty_set),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f64,plain,
    relation(empty_set),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f98,plain,
    ( function(sK5_skl)
    & empty(sK5_skl)
    & relation(sK5_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f23]) ).

fof(f100,plain,
    empty(sK5_skl),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f101,plain,
    function(sK5_skl),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f102,plain,
    ( relation(sK6_skl)
    & ~ empty(sK6_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(A,sK6_skl)],[f24]) ).

fof(f104,plain,
    relation(sK6_skl),
    inference(cnf_transformation,[status(thm)],[f102]) ).

fof(f110,plain,
    ( one_to_one(sK9_skl)
    & function(sK9_skl)
    & relation(sK9_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f27]) ).

fof(f111,plain,
    relation(sK9_skl),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f112,plain,
    function(sK9_skl),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f117,plain,
    ! [A] : subset(A,A),
    inference(miniscoping,[status(thm)],[f29]) ).

fof(f118,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[status(thm)],[f117]) ).

fof(f127,plain,
    ! [A] :
      ( ! [B] :
          ( relation_dom(relation_composition(A,B)) = relation_dom(A)
          | ~ subset(relation_rng(A),relation_dom(B))
          | ~ relation(B) )
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f33]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( relation_dom(relation_composition(X0,X1)) = relation_dom(X0)
      | ~ subset(relation_rng(X0),relation_dom(X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f127]) ).

fof(f129,plain,
    ! [A] :
      ( ! [B] :
          ( relation_rng(relation_composition(B,A)) = relation_rng(A)
          | ~ subset(relation_dom(A),relation_rng(B))
          | ~ relation(B) )
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f34]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( relation_rng(relation_composition(X1,X0)) = relation_rng(X0)
      | ~ subset(relation_dom(X0),relation_rng(X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f134,plain,
    ! [A] :
      ( ( relation_dom(A) = relation_rng(function_inverse(A))
        & relation_rng(A) = relation_dom(function_inverse(A)) )
      | ~ one_to_one(A)
      | ~ function(A)
      | ~ relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f36]) ).

fof(f135,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_dom(function_inverse(X0))
      | ~ one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f136,plain,
    ! [X0] :
      ( relation_dom(X0) = relation_rng(function_inverse(X0))
      | ~ one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[status(thm)],[f134]) ).

fof(f137,plain,
    ? [A] :
      ( ( relation_rng(relation_composition(A,function_inverse(A))) != relation_dom(A)
        | relation_dom(relation_composition(A,function_inverse(A))) != relation_dom(A) )
      & one_to_one(A)
      & function(A)
      & relation(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f138,plain,
    ( ( relation_rng(relation_composition(sK11_skl,function_inverse(sK11_skl))) != relation_dom(sK11_skl)
      | relation_dom(relation_composition(sK11_skl,function_inverse(sK11_skl))) != relation_dom(sK11_skl) )
    & one_to_one(sK11_skl)
    & function(sK11_skl)
    & relation(sK11_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f137]) ).

fof(f139,plain,
    relation(sK11_skl),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f140,plain,
    function(sK11_skl),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f141,plain,
    one_to_one(sK11_skl),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f142,plain,
    ( relation_rng(relation_composition(sK11_skl,function_inverse(sK11_skl))) != relation_dom(sK11_skl)
    | relation_dom(relation_composition(sK11_skl,function_inverse(sK11_skl))) != relation_dom(sK11_skl) ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f146,plain,
    ! [A] :
      ( A = empty_set
      | ~ empty(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f147,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ empty(X0) ),
    inference(cnf_transformation,[status(thm)],[f146]) ).

fof(f154,definition,
    ( sQ0_spl
  <=> relation_dom(relation_composition(sK11_skl,function_inverse(sK11_skl))) = relation_dom(sK11_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f157,definition,
    ( sQ1_spl
  <=> relation_rng(relation_composition(sK11_skl,function_inverse(sK11_skl))) = relation_dom(sK11_skl) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f160,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f142,f154,f157]) ).

fof(f166,plain,
    ( relation_rng(sK11_skl) = relation_dom(function_inverse(sK11_skl))
    | ~ function(sK11_skl)
    | ~ relation(sK11_skl) ),
    inference(resolution,[status(thm)],[f135,f141]) ).

fof(f168,definition,
    ( sQ2_spl
  <=> relation(sK11_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f170,plain,
    ( sQ2_spl
    | ~ relation(sK11_skl) ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,definition,
    ( sQ3_spl
  <=> function(sK11_skl) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f173,plain,
    ( sQ3_spl
    | ~ function(sK11_skl) ),
    inference(component_clause,[status(thm)],[f171]) ).

fof(f174,definition,
    ( sQ4_spl
  <=> relation_rng(sK11_skl) = relation_dom(function_inverse(sK11_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f175,plain,
    ( ~ sQ4_spl
    | relation_rng(sK11_skl) = relation_dom(function_inverse(sK11_skl)) ),
    inference(component_clause,[status(thm)],[f174]) ).

fof(f177,plain,
    ( sQ4_spl
    | ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f166,f168,f171,f174]) ).

fof(f192,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f173,f140]) ).

fof(f193,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f192]) ).

fof(f194,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f170,f139]) ).

fof(f195,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f194]) ).

fof(f198,definition,
    ( sQ8_spl
  <=> relation(function_inverse(sK11_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f200,plain,
    ( sQ8_spl
    | ~ relation(function_inverse(sK11_skl)) ),
    inference(component_clause,[status(thm)],[f198]) ).

fof(f209,plain,
    ( sQ8_spl
    | ~ function(sK11_skl)
    | ~ relation(sK11_skl) ),
    inference(resolution,[status(thm)],[f200,f54]) ).

fof(f211,plain,
    ( sQ8_spl
    | ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f209,f168,f171,f198]) ).

fof(f212,plain,
    ( relation_dom(sK11_skl) = relation_rng(function_inverse(sK11_skl))
    | ~ function(sK11_skl)
    | ~ relation(sK11_skl) ),
    inference(resolution,[status(thm)],[f136,f141]) ).

fof(f214,definition,
    ( sQ11_spl
  <=> relation_dom(sK11_skl) = relation_rng(function_inverse(sK11_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f215,plain,
    ( ~ sQ11_spl
    | relation_dom(sK11_skl) = relation_rng(function_inverse(sK11_skl)) ),
    inference(component_clause,[status(thm)],[f214]) ).

fof(f217,plain,
    ( sQ11_spl
    | ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f212,f168,f171,f214]) ).

fof(f237,definition,
    ( sQ14_spl
  <=> relation(sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f239,plain,
    ( sQ14_spl
    | ~ relation(sK6_skl) ),
    inference(component_clause,[status(thm)],[f237]) ).

fof(f263,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f239,f104]) ).

fof(f264,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f263]) ).

fof(f337,definition,
    ( sQ31_spl
  <=> relation(sK9_skl) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f339,plain,
    ( sQ31_spl
    | ~ relation(sK9_skl) ),
    inference(component_clause,[status(thm)],[f337]) ).

fof(f340,definition,
    ( sQ32_spl
  <=> function(sK9_skl) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f342,plain,
    ( sQ32_spl
    | ~ function(sK9_skl) ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f351,plain,
    ( sQ32_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f342,f112]) ).

fof(f352,plain,
    sQ32_spl,
    inference(contradiction_clause,[status(thm)],[f351]) ).

fof(f353,plain,
    ( sQ31_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f339,f111]) ).

fof(f354,plain,
    sQ31_spl,
    inference(contradiction_clause,[status(thm)],[f353]) ).

fof(f447,plain,
    sK5_skl = empty_set,
    inference(resolution,[status(thm)],[f147,f100]) ).

fof(f467,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | relation_dom(relation_composition(X0,function_inverse(sK11_skl))) = relation_dom(X0)
      | ~ subset(relation_rng(X0),relation_rng(sK11_skl))
      | ~ relation(function_inverse(sK11_skl))
      | ~ relation(X0) ),
    inference(paramodulation,[status(thm)],[f175,f128]) ).

fof(f504,definition,
    ! [X0] :
      ( sQ62_spl
    <=> ( relation_dom(relation_composition(X0,function_inverse(sK11_skl))) = relation_dom(X0)
        | ~ subset(relation_rng(X0),relation_rng(sK11_skl))
        | ~ relation(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f505,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | relation_dom(relation_composition(X0,function_inverse(sK11_skl))) = relation_dom(X0)
      | ~ subset(relation_rng(X0),relation_rng(sK11_skl))
      | ~ relation(X0) ),
    inference(component_clause,[status(thm)],[f504]) ).

fof(f507,plain,
    ( ~ sQ4_spl
    | ~ sQ8_spl
    | sQ62_spl ),
    inference(split_clause,[status(thm)],[f467,f504,f198,f174]) ).

fof(f511,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | relation_rng(relation_composition(X0,function_inverse(sK11_skl))) = relation_rng(function_inverse(sK11_skl))
      | ~ subset(relation_rng(sK11_skl),relation_rng(X0))
      | ~ relation(X0)
      | ~ relation(function_inverse(sK11_skl)) ),
    inference(paramodulation,[status(thm)],[f175,f130]) ).

fof(f521,definition,
    ! [X0] :
      ( sQ64_spl
    <=> ( relation_rng(relation_composition(X0,function_inverse(sK11_skl))) = relation_rng(function_inverse(sK11_skl))
        | ~ subset(relation_rng(sK11_skl),relation_rng(X0))
        | ~ relation(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | relation_rng(relation_composition(X0,function_inverse(sK11_skl))) = relation_rng(function_inverse(sK11_skl))
      | ~ subset(relation_rng(sK11_skl),relation_rng(X0))
      | ~ relation(X0) ),
    inference(component_clause,[status(thm)],[f521]) ).

fof(f524,plain,
    ( ~ sQ4_spl
    | sQ64_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f511,f198,f521,f174]) ).

fof(f545,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | ~ sQ11_spl
      | relation_rng(relation_composition(X0,function_inverse(sK11_skl))) = relation_dom(sK11_skl)
      | ~ subset(relation_rng(sK11_skl),relation_rng(X0))
      | ~ relation(X0) ),
    inference(forward_demodulation,[status(thm)],[f215,f522]) ).

fof(f549,plain,
    ( ~ sQ62_spl
    | relation_dom(relation_composition(sK11_skl,function_inverse(sK11_skl))) = relation_dom(sK11_skl)
    | ~ relation(sK11_skl) ),
    inference(resolution,[status(thm)],[f505,f118]) ).

fof(f555,plain,
    ( ~ sQ62_spl
    | sQ0_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f549,f168,f154,f504]) ).

fof(f640,plain,
    function(empty_set),
    inference(backward_demodulation,[status(thm)],[f447,f101]) ).

fof(f884,definition,
    ( sQ115_spl
  <=> empty(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f886,plain,
    ( sQ115_spl
    | ~ empty(empty_set) ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f899,definition,
    ( sQ118_spl
  <=> subset(relation_dom(sK11_skl),relation_dom(sK11_skl)) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f901,plain,
    ( sQ118_spl
    | ~ subset(relation_dom(sK11_skl),relation_dom(sK11_skl)) ),
    inference(component_clause,[status(thm)],[f899]) ).

fof(f906,plain,
    ( sQ118_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f901,f118]) ).

fof(f907,plain,
    sQ118_spl,
    inference(contradiction_clause,[status(thm)],[f906]) ).

fof(f980,definition,
    ( sQ125_spl
  <=> relation(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f982,plain,
    ( sQ125_spl
    | ~ relation(empty_set) ),
    inference(component_clause,[status(thm)],[f980]) ).

fof(f983,definition,
    ( sQ126_spl
  <=> function(empty_set) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f985,plain,
    ( sQ126_spl
    | ~ function(empty_set) ),
    inference(component_clause,[status(thm)],[f983]) ).

fof(f987,plain,
    ( sQ125_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f982,f64]) ).

fof(f988,plain,
    sQ125_spl,
    inference(contradiction_clause,[status(thm)],[f987]) ).

fof(f989,plain,
    ( sQ126_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f985,f640]) ).

fof(f990,plain,
    sQ126_spl,
    inference(contradiction_clause,[status(thm)],[f989]) ).

fof(f1122,plain,
    ( sQ115_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f886,f63]) ).

fof(f1123,plain,
    sQ115_spl,
    inference(contradiction_clause,[status(thm)],[f1122]) ).

fof(f1299,plain,
    ( ~ sQ64_spl
    | ~ sQ11_spl
    | relation_rng(relation_composition(sK11_skl,function_inverse(sK11_skl))) = relation_dom(sK11_skl)
    | ~ relation(sK11_skl) ),
    inference(resolution,[status(thm)],[f545,f118]) ).

fof(f1304,plain,
    ( ~ sQ64_spl
    | ~ sQ11_spl
    | sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f1299,f168,f157,f214,f521]) ).

fof(f1333,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f160,f177,f193,f195,f211,f217,f264,f352,f354,f507,f524,f555,f907,f988,f990,f1123,f1304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU025+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n017.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 05:42:56 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42  % Elapsed time: 0.052039 seconds
% 0.13/0.42  % CPU time: 0.196033 seconds
% 0.13/0.42  % Total memory used: 84.294 MB
% 0.13/0.42  % Net memory used: 84.129 MB
%------------------------------------------------------------------------------