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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC100-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.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 02:39:57 PM UTC 2026

% Result   : Unsatisfiable 0.07s 0.38s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  121 (  16 unt;  17 def)
%            Number of atoms       :  322 (  61 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  381 ( 180   ~; 184   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  18 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    ! [U] :
      ( frontsegP(U,nil)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [U] :
      ( frontsegP(nil,U)
      | ~ ssList(U)
      | nil != U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f85,axiom,
    ! [U,V] :
      ( ssList(app(V,U))
      | ~ ssList(V)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [U,V] :
      ( V = U
      | neq(V,U)
      | ~ ssList(V)
      | ~ ssList(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f115,axiom,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | ~ neq(U,V)
      | U != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f118,axiom,
    ! [U,V] :
      ( nil = U
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f119,axiom,
    ! [U,V] :
      ( nil = V
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != nil ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f129,axiom,
    ! [U,V] :
      ( V = U
      | ~ ssList(V)
      | ~ ssList(U)
      | ~ frontsegP(V,U)
      | ~ frontsegP(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f137,axiom,
    ! [U,V,W] :
      ( frontsegP(app(U,W),V)
      | ~ ssList(U)
      | ~ ssList(V)
      | ~ ssList(W)
      | ~ frontsegP(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f144,axiom,
    ! [U,V,W] :
      ( frontsegP(W,U)
      | ~ ssList(W)
      | ~ ssList(U)
      | ~ ssList(V)
      | app(U,V) != W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f188,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f192,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f197,negated_conjecture,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f198,negated_conjecture,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f199,negated_conjecture,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f208,plain,
    ssList(nil),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f260,plain,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f284,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil != X0 ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( X1 = X0
      | neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f321,plain,
    ! [U] :
      ( ~ ssList(U)
      | ! [V] :
          ( ~ ssList(V)
          | ~ neq(U,V)
          | U != V ) ),
    inference(miniscoping,[status(thm)],[f115]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f321]) ).

fof(f327,plain,
    ! [U] :
      ( nil = U
      | ~ ssList(U)
      | ! [V] :
          ( ~ ssList(V)
          | app(U,V) != nil ) ),
    inference(miniscoping,[status(thm)],[f118]) ).

fof(f328,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != nil ),
    inference(cnf_transformation,[status(thm)],[f327]) ).

fof(f329,plain,
    ! [V] :
      ( nil = V
      | ! [U] :
          ( ~ ssList(U)
          | ~ ssList(V)
          | app(U,V) != nil ) ),
    inference(miniscoping,[status(thm)],[f119]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( nil = X1
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != nil ),
    inference(cnf_transformation,[status(thm)],[f329]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X1,X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f129]) ).

fof(f352,plain,
    ! [X0,X1,X2] :
      ( frontsegP(app(X0,X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f360,plain,
    ! [U,W] :
      ( frontsegP(W,U)
      | ~ ssList(W)
      | ~ ssList(U)
      | ! [V] :
          ( ~ ssList(V)
          | app(U,V) != W ) ),
    inference(miniscoping,[status(thm)],[f144]) ).

fof(f361,plain,
    ! [X0,X1,X2] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    inference(cnf_transformation,[status(thm)],[f360]) ).

fof(f433,plain,
    ssList(sk3),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f435,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f436,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f437,plain,
    ssList(sk5),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f438,plain,
    app(sk3,sk5) = sk4,
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f442,plain,
    ( nil != sk3
    | nil = sk4 ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f443,plain,
    ( neq(sk2,nil)
    | nil = sk2 ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f444,plain,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f445,plain,
    ( neq(sk2,nil)
    | nil != sk1 ),
    inference(cnf_transformation,[status(thm)],[f199]) ).

fof(f454,definition,
    ( sQ2_spl
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f455,plain,
    ( ~ sQ2_spl
    | nil = sk4 ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f457,definition,
    ( sQ3_spl
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f460,plain,
    ( ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f442,f454,f457]) ).

fof(f461,definition,
    ( sQ4_spl
  <=> nil = sk2 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f462,plain,
    ( ~ sQ4_spl
    | nil = sk2 ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,definition,
    ( sQ5_spl
  <=> neq(sk2,nil) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f465,plain,
    ( ~ sQ5_spl
    | neq(sk2,nil) ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,plain,
    ( sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f443,f461,f464]) ).

fof(f468,definition,
    ( sQ6_spl
  <=> neq(sk1,nil) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ( sQ6_spl
    | ~ neq(sk1,nil) ),
    inference(component_clause,[status(thm)],[f468]) ).

fof(f471,definition,
    ( sQ7_spl
  <=> frontsegP(sk2,sk1) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f473,plain,
    ( sQ7_spl
    | ~ frontsegP(sk2,sk1) ),
    inference(component_clause,[status(thm)],[f471]) ).

fof(f474,plain,
    ( ~ sQ7_spl
    | ~ sQ6_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f444,f461,f468,f471]) ).

fof(f475,definition,
    ( sQ8_spl
  <=> nil = sk1 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f477,plain,
    ( sQ8_spl
    | nil != sk1 ),
    inference(component_clause,[status(thm)],[f475]) ).

fof(f478,plain,
    ( sQ5_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f445,f475,f464]) ).

fof(f482,plain,
    ( frontsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(destructive_equality_resolution,[status(thm)],[f284]) ).

fof(f487,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(destructive_equality_resolution,[status(thm)],[f322]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f487]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( frontsegP(app(X1,X0),X1)
      | ~ ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(destructive_equality_resolution,[status(thm)],[f361]) ).

fof(f511,plain,
    ( sQ8_spl
    | nil != sk3 ),
    inference(forward_demodulation,[status(thm)],[f436,f477]) ).

fof(f515,plain,
    ( ~ sQ4_spl
    | nil = sk4 ),
    inference(forward_demodulation,[status(thm)],[f435,f462]) ).

fof(f536,definition,
    ( sQ9_spl
  <=> ssList(sk4) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f544,plain,
    ( ~ sQ5_spl
    | neq(sk4,nil) ),
    inference(forward_demodulation,[status(thm)],[f435,f465]) ).

fof(f545,plain,
    ( sQ7_spl
    | ~ frontsegP(sk4,sk1) ),
    inference(forward_demodulation,[status(thm)],[f435,f473]) ).

fof(f546,plain,
    ( sQ7_spl
    | ~ frontsegP(sk4,sk3) ),
    inference(forward_demodulation,[status(thm)],[f436,f545]) ).

fof(f547,plain,
    ( sQ6_spl
    | ~ neq(sk3,nil) ),
    inference(forward_demodulation,[status(thm)],[f436,f470]) ).

fof(f548,definition,
    ( sQ11_spl
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f550,plain,
    ( sQ11_spl
    | ~ ssList(nil) ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,definition,
    ( sQ12_spl
  <=> frontsegP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f552,plain,
    ( ~ sQ12_spl
    | frontsegP(nil,nil) ),
    inference(component_clause,[status(thm)],[f551]) ).

fof(f554,plain,
    ( sQ12_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f482,f548,f551]) ).

fof(f561,plain,
    ( ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(paramodulation,[status(thm)],[f438,f286]) ).

fof(f562,definition,
    ( sQ13_spl
  <=> ssList(sk5) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f564,plain,
    ( sQ13_spl
    | ~ ssList(sk5) ),
    inference(component_clause,[status(thm)],[f562]) ).

fof(f565,definition,
    ( sQ14_spl
  <=> ssList(sk3) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ( sQ14_spl
    | ~ ssList(sk3) ),
    inference(component_clause,[status(thm)],[f565]) ).

fof(f568,plain,
    ( sQ9_spl
    | ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f561,f562,f565,f536]) ).

fof(f569,plain,
    ( sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f567,f433]) ).

fof(f570,plain,
    sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f569]) ).

fof(f571,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f564,f437]) ).

fof(f572,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f571]) ).

fof(f576,definition,
    ( sQ15_spl
  <=> nil = nil ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f582,plain,
    ( sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f550,f208]) ).

fof(f583,plain,
    sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f582]) ).

fof(f592,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | sk4 != nil ),
    inference(paramodulation,[status(thm)],[f438,f328]) ).

fof(f595,plain,
    ( sQ3_spl
    | ~ sQ14_spl
    | ~ sQ13_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f592,f454,f562,f565,f457]) ).

fof(f598,plain,
    ( nil = sk5
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | sk4 != nil ),
    inference(paramodulation,[status(thm)],[f438,f330]) ).

fof(f601,definition,
    ( sQ16_spl
  <=> nil = sk5 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f602,plain,
    ( ~ sQ16_spl
    | nil = sk5 ),
    inference(component_clause,[status(thm)],[f601]) ).

fof(f604,plain,
    ( sQ16_spl
    | ~ sQ14_spl
    | ~ sQ13_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f598,f454,f562,f565,f601]) ).

fof(f605,plain,
    ( ~ sQ12_spl
    | nil = nil
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ frontsegP(nil,nil) ),
    inference(resolution,[status(thm)],[f342,f552]) ).

fof(f606,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | X0 = nil
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ frontsegP(nil,X0) ),
    inference(resolution,[status(thm)],[f342,f260]) ).

fof(f608,plain,
    ( sQ15_spl
    | ~ sQ11_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f605,f551,f548,f576]) ).

fof(f609,definition,
    ! [X0] :
      ( sQ17_spl
    <=> ( ~ ssList(X0)
        | X0 = nil
        | ~ ssList(X0)
        | ~ frontsegP(nil,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f612,plain,
    ( ~ sQ11_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f606,f609,f548]) ).

fof(f622,plain,
    ! [X0,X1] :
      ( frontsegP(app(X1,X0),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f495,f286]) ).

fof(f624,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(paramodulation,[status(thm)],[f438,f622]) ).

fof(f627,definition,
    ( sQ20_spl
  <=> frontsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f628,plain,
    ( ~ sQ20_spl
    | frontsegP(sk4,sk3) ),
    inference(component_clause,[status(thm)],[f627]) ).

fof(f630,plain,
    ( sQ20_spl
    | ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f624,f562,f565,f627]) ).

fof(f631,plain,
    ( ~ sQ20_spl
    | sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f628,f546]) ).

fof(f632,plain,
    ( ~ sQ20_spl
    | sQ7_spl ),
    inference(contradiction_clause,[status(thm)],[f631]) ).

fof(f636,plain,
    ( sQ6_spl
    | sk3 = nil
    | ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[f547,f303]) ).

fof(f644,plain,
    ( sQ6_spl
    | sQ3_spl
    | ~ sQ14_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f636,f548,f565,f457,f468]) ).

fof(f645,plain,
    ( ~ sQ4_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f515,f454,f461]) ).

fof(f647,plain,
    ( sQ8_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f511,f457,f475]) ).

fof(f655,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | ~ frontsegP(sk3,X0) ),
    inference(paramodulation,[status(thm)],[f438,f352]) ).

fof(f658,definition,
    ! [X0] :
      ( sQ24_spl
    <=> ( frontsegP(sk4,X0)
        | ~ ssList(X0)
        | ~ frontsegP(sk3,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f661,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f655,f658,f562,f565]) ).

fof(f704,plain,
    ( ~ sQ2_spl
    | ~ sQ16_spl
    | sk5 = sk4 ),
    inference(forward_demodulation,[status(thm)],[f602,f455]) ).

fof(f721,plain,
    ( ~ sQ5_spl
    | ~ sQ2_spl
    | ~ sQ16_spl
    | neq(sk5,nil) ),
    inference(forward_demodulation,[status(thm)],[f704,f544]) ).

fof(f722,plain,
    ( ~ sQ5_spl
    | ~ sQ2_spl
    | ~ sQ16_spl
    | neq(sk5,sk5) ),
    inference(forward_demodulation,[status(thm)],[f602,f721]) ).

fof(f724,plain,
    ( ~ sQ5_spl
    | ~ sQ2_spl
    | ~ sQ16_spl
    | ~ ssList(sk5) ),
    inference(resolution,[status(thm)],[f722,f488]) ).

fof(f725,plain,
    ( ~ sQ5_spl
    | ~ sQ2_spl
    | ~ sQ16_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f724,f562,f601,f454,f464]) ).

fof(f726,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f460,f467,f474,f478,f554,f568,f570,f572,f583,f595,f604,f608,f612,f630,f632,f644,f645,f647,f661,f725]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC100-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n003.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 07:57:16 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.37  % Drodi V4.1.1
% 0.07/0.38  % Refutation found
% 0.07/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.050918 seconds
% 0.12/0.41  % CPU time: 0.108084 seconds
% 0.12/0.41  % Total memory used: 24.406 MB
% 0.12/0.41  % Net memory used: 24.371 MB
%------------------------------------------------------------------------------