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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC397-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.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 02:41:04 PM UTC 2026

% Result   : Unsatisfiable 0.14s 5.49s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  119 (  22 unt;  19 def)
%            Number of atoms       :  315 (  38 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  369 ( 173   ~; 177   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  20 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

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

fof(f71,axiom,
    ! [U] :
      ( ~ ssItem(U)
      | ~ memberP(nil,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    ! [U,V] :
      ( ssList(cons(U,V))
      | ~ ssList(V)
      | ~ ssItem(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(f120,axiom,
    ! [U,V] :
      ( app(cons(U,nil),V) = cons(U,V)
      | ~ ssList(V)
      | ~ ssItem(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f138,axiom,
    ! [U,V,W] :
      ( memberP(cons(V,W),U)
      | ~ ssItem(U)
      | ~ ssItem(V)
      | ~ ssList(W)
      | U != V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f140,axiom,
    ! [U,V,W] :
      ( memberP(app(U,W),V)
      | ~ ssItem(V)
      | ~ ssList(U)
      | ~ ssList(W)
      | ~ memberP(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f141,axiom,
    ! [U,V,W] :
      ( memberP(app(W,U),V)
      | ~ ssItem(V)
      | ~ ssList(W)
      | ~ ssList(U)
      | ~ memberP(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,axiom,
    ! [U,V,W] :
      ( W = U
      | memberP(V,W)
      | ~ ssItem(W)
      | ~ ssItem(U)
      | ~ ssList(V)
      | ~ memberP(cons(U,V),W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f189,negated_conjecture,
    ssList(sk4),
    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,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f193,negated_conjecture,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f194,negated_conjecture,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f195,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f196,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f197,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f198,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(cons(sk6,nil),sk7) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f199,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk7,cons(sk6,nil)) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f207,plain,
    ssList(nil),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( X1 = X0
      | neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) = cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f352,plain,
    ! [X0,X1,X2] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f138]) ).

fof(f354,plain,
    ! [X0,X1,X2] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f355,plain,
    ! [X0,X1,X2] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f390,plain,
    ! [U,W] :
      ( W = U
      | ! [V] :
          ( memberP(V,W)
          | ~ ssItem(W)
          | ~ ssItem(U)
          | ~ ssList(V)
          | ~ memberP(cons(U,V),W) ) ),
    inference(miniscoping,[status(thm)],[f161]) ).

fof(f391,plain,
    ! [X0,X1,X2] :
      ( X2 = X0
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ memberP(cons(X0,X1),X2) ),
    inference(cnf_transformation,[status(thm)],[f390]) ).

fof(f433,plain,
    ssList(sk4),
    inference(cnf_transformation,[status(thm)],[f189]) ).

fof(f434,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f435,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f436,plain,
    ssItem(sk5),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f437,plain,
    memberP(sk1,sk5),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f438,plain,
    ~ memberP(sk2,sk5),
    inference(cnf_transformation,[status(thm)],[f194]) ).

fof(f439,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f440,plain,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f441,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f442,plain,
    ( ~ neq(sk4,nil)
    | app(cons(sk6,nil),sk7) = sk3 ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f443,plain,
    ( ~ neq(sk4,nil)
    | app(sk7,cons(sk6,nil)) = sk4 ),
    inference(cnf_transformation,[status(thm)],[f199]) ).

fof(f451,definition,
    ( sQ2_spl
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f452,plain,
    ( ~ sQ2_spl
    | nil = sk3 ),
    inference(component_clause,[status(thm)],[f451]) ).

fof(f454,definition,
    ( sQ3_spl
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f457,plain,
    ( ~ sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f439,f451,f454]) ).

fof(f458,definition,
    ( sQ4_spl
  <=> ssItem(sk6) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f461,definition,
    ( sQ5_spl
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f463,plain,
    ( sQ5_spl
    | ~ neq(sk4,nil) ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,plain,
    ( ~ sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f440,f458,f461]) ).

fof(f465,definition,
    ( sQ6_spl
  <=> ssList(sk7) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f468,plain,
    ( ~ sQ5_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f441,f465,f461]) ).

fof(f469,definition,
    ( sQ7_spl
  <=> app(cons(sk6,nil),sk7) = sk3 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ( ~ sQ7_spl
    | app(cons(sk6,nil),sk7) = sk3 ),
    inference(component_clause,[status(thm)],[f469]) ).

fof(f472,plain,
    ( ~ sQ5_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f442,f469,f461]) ).

fof(f473,definition,
    ( sQ8_spl
  <=> app(sk7,cons(sk6,nil)) = sk4 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ( ~ sQ8_spl
    | app(sk7,cons(sk6,nil)) = sk4 ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( ~ sQ5_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f443,f473,f461]) ).

fof(f489,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(destructive_equality_resolution,[status(thm)],[f352]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( memberP(cons(X1,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f489]) ).

fof(f509,plain,
    memberP(sk3,sk5),
    inference(forward_demodulation,[status(thm)],[f435,f437]) ).

fof(f510,plain,
    ~ memberP(sk4,sk5),
    inference(forward_demodulation,[status(thm)],[f434,f438]) ).

fof(f512,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(forward_demodulation,[status(thm)],[f452,f270]) ).

fof(f513,plain,
    ( ~ sQ2_spl
    | ~ ssItem(sk5) ),
    inference(resolution,[status(thm)],[f512,f509]) ).

fof(f514,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f513,f436]) ).

fof(f515,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f514]) ).

fof(f516,plain,
    ( sQ5_spl
    | sk4 = nil
    | ~ ssList(sk4)
    | ~ ssList(nil) ),
    inference(resolution,[status(thm)],[f302,f463]) ).

fof(f519,definition,
    ( sQ9_spl
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f521,plain,
    ( sQ9_spl
    | ~ ssList(nil) ),
    inference(component_clause,[status(thm)],[f519]) ).

fof(f522,definition,
    ( sQ10_spl
  <=> ssList(sk4) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f524,plain,
    ( sQ10_spl
    | ~ ssList(sk4) ),
    inference(component_clause,[status(thm)],[f522]) ).

fof(f525,plain,
    ( sQ5_spl
    | sQ3_spl
    | ~ sQ10_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f516,f519,f522,f454,f461]) ).

fof(f526,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f521,f207]) ).

fof(f527,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f526]) ).

fof(f531,definition,
    ( sQ11_spl
  <=> ssList(cons(sk6,nil)) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f533,plain,
    ( sQ11_spl
    | ~ ssList(cons(sk6,nil)) ),
    inference(component_clause,[status(thm)],[f531]) ).

fof(f538,plain,
    ( sQ11_spl
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f533,f286]) ).

fof(f539,plain,
    ( sQ11_spl
    | ~ sQ9_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f538,f458,f519,f531]) ).

fof(f567,plain,
    ( ~ sQ7_spl
    | sk3 = cons(sk6,sk7)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(paramodulation,[status(thm)],[f470,f330]) ).

fof(f568,definition,
    ( sQ16_spl
  <=> sk3 = cons(sk6,sk7) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f569,plain,
    ( ~ sQ16_spl
    | sk3 = cons(sk6,sk7) ),
    inference(component_clause,[status(thm)],[f568]) ).

fof(f571,plain,
    ( ~ sQ7_spl
    | sQ16_spl
    | ~ sQ6_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f567,f458,f465,f568,f469]) ).

fof(f686,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(cons(sk6,nil))
      | ~ memberP(sk7,X0) ),
    inference(paramodulation,[status(thm)],[f474,f354]) ).

fof(f688,definition,
    ! [X0] :
      ( sQ35_spl
    <=> ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk7,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f689,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk7,X0) ),
    inference(component_clause,[status(thm)],[f688]) ).

fof(f691,plain,
    ( ~ sQ8_spl
    | ~ sQ6_spl
    | ~ sQ11_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f686,f688,f531,f465,f473]) ).

fof(f696,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(cons(sk6,nil))
      | ~ memberP(cons(sk6,nil),X0) ),
    inference(paramodulation,[status(thm)],[f474,f355]) ).

fof(f698,definition,
    ! [X0] :
      ( sQ37_spl
    <=> ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f699,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ memberP(cons(sk6,nil),X0) ),
    inference(component_clause,[status(thm)],[f698]) ).

fof(f701,plain,
    ( ~ sQ8_spl
    | ~ sQ6_spl
    | ~ sQ11_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f696,f698,f531,f465,f473]) ).

fof(f722,plain,
    ( ~ sQ37_spl
    | ~ ssItem(sk6)
    | ~ ssList(nil)
    | memberP(sk4,sk6)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f699,f490]) ).

fof(f727,definition,
    ( sQ42_spl
  <=> memberP(sk4,sk6) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f728,plain,
    ( ~ sQ42_spl
    | memberP(sk4,sk6) ),
    inference(component_clause,[status(thm)],[f727]) ).

fof(f730,plain,
    ( ~ sQ37_spl
    | ~ sQ9_spl
    | sQ42_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f722,f458,f727,f519,f698]) ).

fof(f783,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f524,f433]) ).

fof(f784,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f783]) ).

fof(f993,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | X0 = sk6
      | memberP(sk7,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sk6)
      | ~ ssList(sk7)
      | ~ memberP(sk3,X0) ),
    inference(paramodulation,[status(thm)],[f569,f391]) ).

fof(f994,definition,
    ! [X0] :
      ( sQ64_spl
    <=> ( X0 = sk6
        | memberP(sk7,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f995,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | X0 = sk6
      | memberP(sk7,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(component_clause,[status(thm)],[f994]) ).

fof(f997,plain,
    ( ~ sQ16_spl
    | ~ sQ4_spl
    | ~ sQ6_spl
    | sQ64_spl ),
    inference(split_clause,[status(thm)],[f993,f994,f465,f458,f568]) ).

fof(f1375,plain,
    ( ~ sQ64_spl
    | sk5 = sk6
    | memberP(sk7,sk5)
    | ~ ssItem(sk5) ),
    inference(resolution,[status(thm)],[f995,f509]) ).

fof(f1380,definition,
    ( sQ93_spl
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f1382,plain,
    ( sQ93_spl
    | ~ ssItem(sk5) ),
    inference(component_clause,[status(thm)],[f1380]) ).

fof(f1383,definition,
    ( sQ94_spl
  <=> memberP(sk7,sk5) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f1384,plain,
    ( ~ sQ94_spl
    | memberP(sk7,sk5) ),
    inference(component_clause,[status(thm)],[f1383]) ).

fof(f1386,definition,
    ( sQ95_spl
  <=> sk5 = sk6 ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f1387,plain,
    ( ~ sQ95_spl
    | sk5 = sk6 ),
    inference(component_clause,[status(thm)],[f1386]) ).

fof(f1389,plain,
    ( ~ sQ64_spl
    | sQ95_spl
    | sQ94_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f1375,f1380,f1383,f1386,f994]) ).

fof(f1434,plain,
    ( ~ sQ95_spl
    | ~ memberP(sk4,sk6) ),
    inference(backward_demodulation,[status(thm)],[f1387,f510]) ).

fof(f1436,plain,
    ( ~ sQ95_spl
    | ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1434,f728]) ).

fof(f1437,plain,
    ( ~ sQ95_spl
    | ~ sQ42_spl ),
    inference(contradiction_clause,[status(thm)],[f1436]) ).

fof(f1438,plain,
    ( sQ93_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f436,f1382]) ).

fof(f1439,plain,
    sQ93_spl,
    inference(contradiction_clause,[status(thm)],[f1438]) ).

fof(f1447,plain,
    ( ~ sQ35_spl
    | ~ sQ94_spl
    | memberP(sk4,sk5)
    | ~ ssItem(sk5) ),
    inference(resolution,[status(thm)],[f1384,f689]) ).

fof(f1449,definition,
    ( sQ96_spl
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f1450,plain,
    ( ~ sQ96_spl
    | memberP(sk4,sk5) ),
    inference(component_clause,[status(thm)],[f1449]) ).

fof(f1452,plain,
    ( ~ sQ35_spl
    | ~ sQ94_spl
    | sQ96_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f1447,f1380,f1449,f1383,f688]) ).

fof(f1457,plain,
    ( ~ sQ96_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1450,f510]) ).

fof(f1458,plain,
    ~ sQ96_spl,
    inference(contradiction_clause,[status(thm)],[f1457]) ).

fof(f1459,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f457,f464,f468,f472,f476,f515,f525,f527,f539,f571,f691,f701,f730,f784,f997,f1389,f1437,f1439,f1452,f1458]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC397-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.41  % Computer : n004.cluster.edu
% 0.14/5.41  % Model    : x86_64 x86_64
% 0.14/5.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.41  % Memory   : 8046.5625MB
% 0.14/5.41  % OS       : Linux 6.8.0-71-generic
% 0.14/5.41  % CPULimit : 300
% 0.14/5.41  % WCLimit  : 300
% 0.14/5.41  % DateTime : Mon Sep 21 08:21:11 UTC 2026
% 0.14/5.41  % CPUTime  : 
% 0.14/5.43  % Drodi V4.1.1
% 0.14/5.49  % Refutation found
% 0.14/5.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/5.55  % Elapsed time: 0.133426 seconds
% 0.19/5.55  % CPU time: 0.295762 seconds
% 0.19/5.55  % Total memory used: 46.549 MB
% 0.19/5.55  % Net memory used: 46.401 MB
%------------------------------------------------------------------------------