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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC218-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 02:40:26 PM UTC 2026

% Result   : Unsatisfiable 0.17s 5.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  124 (  22 unt;  16 def)
%            Number of atoms       :  341 (  63 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  416 ( 199   ~; 201   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  17 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [U] :
      ( app(nil,U) = U
      | ~ ssList(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,axiom,
    ! [U,V] :
      ( ssList(app(V,U))
      | ~ ssList(V)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    ! [U,V] :
      ( ssList(cons(U,V))
      | ~ ssList(V)
      | ~ ssItem(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [U,V] :
      ( ~ ssList(V)
      | ~ ssItem(U)
      | cons(U,V) != V ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [U,V] :
      ( V = U
      | neq(V,U)
      | ~ ssList(V)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f118,axiom,
    ! [U,V] :
      ( nil = U
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f119,axiom,
    ! [U,V] :
      ( nil = V
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    app(sk5,sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ssItem(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    app(app(sk5,cons(sk7,nil)),sk6) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f197,negated_conjecture,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f205,plain,
    ssList(nil),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f272,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f298,plain,
    ! [V] :
      ( ~ ssList(V)
      | ! [U] :
          ( ~ ssItem(U)
          | cons(U,V) != V ) ),
    inference(miniscoping,[status(thm)],[f99]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,X1) != X1 ),
    inference(cnf_transformation,[status(thm)],[f298]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( X1 = X0
      | neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f324,plain,
    ! [U] :
      ( nil = U
      | ~ ssList(U)
      | ! [V] :
          ( ~ ssList(V)
          | app(U,V) != nil ) ),
    inference(miniscoping,[status(thm)],[f118]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != nil ),
    inference(cnf_transformation,[status(thm)],[f324]) ).

fof(f326,plain,
    ! [V] :
      ( nil = V
      | ! [U] :
          ( ~ ssList(U)
          | ~ ssList(V)
          | app(U,V) != nil ) ),
    inference(miniscoping,[status(thm)],[f119]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( nil = X1
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != nil ),
    inference(cnf_transformation,[status(thm)],[f326]) ).

fof(f433,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f434,plain,
    ssList(sk5),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f435,plain,
    ssList(sk6),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f436,plain,
    app(sk5,sk6) = sk4,
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f437,plain,
    ssItem(sk7),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f438,plain,
    app(app(sk5,cons(sk7,nil)),sk6) = sk3,
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f439,plain,
    ~ neq(sk1,nil),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f478,plain,
    ~ neq(sk3,nil),
    inference(forward_demodulation,[status(thm)],[f433,f439]) ).

fof(f480,definition,
    ( sQ2_spl
  <=> ssList(sk6) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f482,plain,
    ( sQ2_spl
    | ~ ssList(sk6) ),
    inference(component_clause,[status(thm)],[f480]) ).

fof(f483,definition,
    ( sQ3_spl
  <=> ssList(sk5) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f485,plain,
    ( sQ3_spl
    | ~ ssList(sk5) ),
    inference(component_clause,[status(thm)],[f483]) ).

fof(f490,plain,
    ( ssList(sk3)
    | ~ ssList(app(sk5,cons(sk7,nil)))
    | ~ ssList(sk6) ),
    inference(paramodulation,[status(thm)],[f438,f283]) ).

fof(f491,definition,
    ( sQ5_spl
  <=> ssList(app(sk5,cons(sk7,nil))) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f492,plain,
    ( ~ sQ5_spl
    | ssList(app(sk5,cons(sk7,nil))) ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f493,plain,
    ( sQ5_spl
    | ~ ssList(app(sk5,cons(sk7,nil))) ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,definition,
    ( sQ6_spl
  <=> ssList(sk3) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f497,plain,
    ( sQ6_spl
    | ~ sQ5_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f490,f480,f491,f494]) ).

fof(f498,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f482,f435]) ).

fof(f499,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f500,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f485,f434]) ).

fof(f501,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f500]) ).

fof(f502,plain,
    ( sQ5_spl
    | ~ ssList(sk5)
    | ~ ssList(cons(sk7,nil)) ),
    inference(resolution,[status(thm)],[f493,f283]) ).

fof(f503,definition,
    ( sQ7_spl
  <=> ssList(cons(sk7,nil)) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f504,plain,
    ( ~ sQ7_spl
    | ssList(cons(sk7,nil)) ),
    inference(component_clause,[status(thm)],[f503]) ).

fof(f505,plain,
    ( sQ7_spl
    | ~ ssList(cons(sk7,nil)) ),
    inference(component_clause,[status(thm)],[f503]) ).

fof(f506,plain,
    ( sQ5_spl
    | ~ sQ3_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f502,f503,f483,f491]) ).

fof(f507,plain,
    ( sQ7_spl
    | ~ ssList(nil)
    | ~ ssItem(sk7) ),
    inference(resolution,[status(thm)],[f505,f284]) ).

fof(f508,definition,
    ( sQ8_spl
  <=> ssItem(sk7) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ( sQ8_spl
    | ~ ssItem(sk7) ),
    inference(component_clause,[status(thm)],[f508]) ).

fof(f511,definition,
    ( sQ9_spl
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f513,plain,
    ( sQ9_spl
    | ~ ssList(nil) ),
    inference(component_clause,[status(thm)],[f511]) ).

fof(f514,plain,
    ( sQ7_spl
    | ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f507,f508,f511,f503]) ).

fof(f515,plain,
    ( sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f510,f437]) ).

fof(f516,plain,
    sQ8_spl,
    inference(contradiction_clause,[status(thm)],[f515]) ).

fof(f517,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f513,f205]) ).

fof(f518,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f517]) ).

fof(f519,plain,
    ( sk3 = nil
    | ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[f300,f478]) ).

fof(f522,definition,
    ( sQ10_spl
  <=> sk3 = nil ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f523,plain,
    ( ~ sQ10_spl
    | sk3 = nil ),
    inference(component_clause,[status(thm)],[f522]) ).

fof(f525,plain,
    ( sQ10_spl
    | ~ sQ6_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f519,f511,f494,f522]) ).

fof(f527,plain,
    ( ~ sQ5_spl
    | ~ sQ10_spl
    | ssList(app(sk5,cons(sk7,sk3))) ),
    inference(backward_demodulation,[status(thm)],[f523,f492]) ).

fof(f528,plain,
    ( ~ sQ7_spl
    | ~ sQ10_spl
    | ssList(cons(sk7,sk3)) ),
    inference(backward_demodulation,[status(thm)],[f523,f504]) ).

fof(f529,plain,
    ( ~ sQ10_spl
    | app(app(sk5,cons(sk7,sk3)),sk6) = sk3 ),
    inference(backward_demodulation,[status(thm)],[f523,f438]) ).

fof(f538,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | app(sk3,X0) = X0
      | ~ ssList(X0) ),
    inference(backward_demodulation,[status(thm)],[f523,f272]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( ~ sQ10_spl
      | nil = X0
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != sk3 ),
    inference(forward_demodulation,[status(thm)],[f523,f325]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( ~ sQ10_spl
      | sk3 = X0
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != sk3 ),
    inference(forward_demodulation,[status(thm)],[f523,f544]) ).

fof(f550,definition,
    ( sQ12_spl
  <=> sk3 = sk5 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f551,plain,
    ( ~ sQ12_spl
    | sk3 = sk5 ),
    inference(component_clause,[status(thm)],[f550]) ).

fof(f568,plain,
    ( ~ sQ10_spl
    | sk3 = app(sk5,cons(sk7,sk3))
    | ~ ssList(app(sk5,cons(sk7,sk3)))
    | ~ ssList(sk6) ),
    inference(resolution,[status(thm)],[f529,f545]) ).

fof(f571,definition,
    ( sQ15_spl
  <=> ssList(app(sk5,cons(sk7,sk3))) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f573,plain,
    ( sQ15_spl
    | ~ ssList(app(sk5,cons(sk7,sk3))) ),
    inference(component_clause,[status(thm)],[f571]) ).

fof(f574,definition,
    ( sQ16_spl
  <=> sk3 = app(sk5,cons(sk7,sk3)) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f575,plain,
    ( ~ sQ16_spl
    | sk3 = app(sk5,cons(sk7,sk3)) ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,plain,
    ( ~ sQ10_spl
    | sQ16_spl
    | ~ sQ15_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f568,f480,f571,f574,f522]) ).

fof(f584,plain,
    ( sQ15_spl
    | ~ sQ5_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f573,f527]) ).

fof(f585,plain,
    ( sQ15_spl
    | ~ sQ5_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f584]) ).

fof(f587,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | app(sk3,sk6) = sk3 ),
    inference(backward_demodulation,[status(thm)],[f575,f529]) ).

fof(f588,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | sk3 = sk5
    | ~ ssList(sk5)
    | ~ ssList(cons(sk7,sk3)) ),
    inference(resolution,[status(thm)],[f575,f545]) ).

fof(f591,definition,
    ( sQ17_spl
  <=> ssList(cons(sk7,sk3)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f593,plain,
    ( sQ17_spl
    | ~ ssList(cons(sk7,sk3)) ),
    inference(component_clause,[status(thm)],[f591]) ).

fof(f594,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | sQ12_spl
    | ~ sQ3_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f588,f591,f483,f550,f574,f522]) ).

fof(f597,plain,
    ( sQ17_spl
    | ~ sQ7_spl
    | ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f593,f528]) ).

fof(f598,plain,
    ( sQ17_spl
    | ~ sQ7_spl
    | ~ sQ10_spl ),
    inference(contradiction_clause,[status(thm)],[f597]) ).

fof(f599,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | sk3 = app(sk5,cons(sk7,sk5)) ),
    inference(backward_demodulation,[status(thm)],[f551,f575]) ).

fof(f602,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ12_spl
      | app(sk5,X0) = X0
      | ~ ssList(X0) ),
    inference(backward_demodulation,[status(thm)],[f551,f538]) ).

fof(f603,plain,
    ( ~ sQ7_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | ssList(cons(sk7,sk5)) ),
    inference(backward_demodulation,[status(thm)],[f551,f528]) ).

fof(f614,plain,
    ( ~ sQ10_spl
    | ~ sQ12_spl
    | sk5 = nil ),
    inference(backward_demodulation,[status(thm)],[f551,f523]) ).

fof(f617,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | sk5 = app(sk5,cons(sk7,sk5)) ),
    inference(forward_demodulation,[status(thm)],[f551,f599]) ).

fof(f620,plain,
    ( nil = sk6
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | sk4 != nil ),
    inference(paramodulation,[status(thm)],[f436,f327]) ).

fof(f621,definition,
    ( sQ18_spl
  <=> sk4 = nil ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( sQ18_spl
    | sk4 != nil ),
    inference(component_clause,[status(thm)],[f621]) ).

fof(f624,definition,
    ( sQ19_spl
  <=> nil = sk6 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f625,plain,
    ( ~ sQ19_spl
    | nil = sk6 ),
    inference(component_clause,[status(thm)],[f624]) ).

fof(f627,plain,
    ( sQ19_spl
    | ~ sQ3_spl
    | ~ sQ2_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f620,f621,f480,f483,f624]) ).

fof(f631,plain,
    ( sQ18_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | sk4 != sk5 ),
    inference(forward_demodulation,[status(thm)],[f614,f623]) ).

fof(f642,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | ~ sQ12_spl
    | app(sk5,sk6) = sk3 ),
    inference(forward_demodulation,[status(thm)],[f551,f587]) ).

fof(f643,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | ~ sQ12_spl
    | sk4 = sk3 ),
    inference(forward_demodulation,[status(thm)],[f436,f642]) ).

fof(f644,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | ~ sQ12_spl
    | sk4 = sk5 ),
    inference(forward_demodulation,[status(thm)],[f551,f643]) ).

fof(f645,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | ~ sQ12_spl
    | sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f644,f631]) ).

fof(f646,plain,
    ( ~ sQ10_spl
    | ~ sQ16_spl
    | ~ sQ12_spl
    | sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f645]) ).

fof(f647,plain,
    ( ~ sQ19_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | sk5 = sk6 ),
    inference(forward_demodulation,[status(thm)],[f614,f625]) ).

fof(f718,plain,
    ( ~ sQ7_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ssList(cons(sk7,sk6)) ),
    inference(forward_demodulation,[status(thm)],[f647,f603]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ12_spl
      | ~ sQ19_spl
      | app(sk6,X0) = X0
      | ~ ssList(X0) ),
    inference(forward_demodulation,[status(thm)],[f647,f602]) ).

fof(f749,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ~ sQ10_spl
    | sk6 = app(sk5,cons(sk7,sk5)) ),
    inference(forward_demodulation,[status(thm)],[f647,f617]) ).

fof(f750,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ~ sQ10_spl
    | sk6 = app(sk6,cons(sk7,sk5)) ),
    inference(forward_demodulation,[status(thm)],[f647,f749]) ).

fof(f751,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ~ sQ10_spl
    | sk6 = app(sk6,cons(sk7,sk6)) ),
    inference(forward_demodulation,[status(thm)],[f647,f750]) ).

fof(f752,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ~ sQ10_spl
    | sk6 = cons(sk7,sk6)
    | ~ ssList(cons(sk7,sk6)) ),
    inference(paramodulation,[status(thm)],[f751,f738]) ).

fof(f757,definition,
    ( sQ29_spl
  <=> ssList(cons(sk7,sk6)) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f759,plain,
    ( sQ29_spl
    | ~ ssList(cons(sk7,sk6)) ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f760,definition,
    ( sQ30_spl
  <=> sk6 = cons(sk7,sk6) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f761,plain,
    ( ~ sQ30_spl
    | sk6 = cons(sk7,sk6) ),
    inference(component_clause,[status(thm)],[f760]) ).

fof(f763,plain,
    ( ~ sQ16_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | ~ sQ10_spl
    | sQ30_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f752,f757,f760,f522,f624,f550,f574]) ).

fof(f774,plain,
    ( sQ29_spl
    | ~ sQ7_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f759,f718]) ).

fof(f775,plain,
    ( sQ29_spl
    | ~ sQ7_spl
    | ~ sQ10_spl
    | ~ sQ12_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f774]) ).

fof(f780,plain,
    ( ~ sQ30_spl
    | ~ ssList(sk6)
    | ~ ssItem(sk7) ),
    inference(resolution,[status(thm)],[f761,f299]) ).

fof(f785,plain,
    ( ~ sQ30_spl
    | ~ sQ2_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f780,f508,f480,f760]) ).

fof(f789,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f497,f499,f501,f506,f514,f516,f518,f525,f577,f585,f594,f598,f627,f646,f763,f775,f785]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC218-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.44  % Computer : n008.cluster.edu
% 0.17/5.44  % Model    : x86_64 x86_64
% 0.17/5.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44  % Memory   : 8046.5625MB
% 0.17/5.44  % OS       : Linux 6.8.0-71-generic
% 0.17/5.44  % CPULimit : 300
% 0.17/5.44  % WCLimit  : 300
% 0.17/5.44  % DateTime : Mon Sep 21 08:06:31 UTC 2026
% 0.17/5.44  % CPUTime  : 
% 0.17/5.46  % Drodi V4.1.1
% 0.17/5.48  % Refutation found
% 0.17/5.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.53  % Elapsed time: 0.071509 seconds
% 0.21/5.53  % CPU time: 0.239924 seconds
% 0.21/5.53  % Total memory used: 109.776 MB
% 0.21/5.53  % Net memory used: 109.592 MB
%------------------------------------------------------------------------------