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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC002-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : 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 02:39:32 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.42s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   96 (   9 unt;  18 def)
%            Number of atoms       :  350 (  75 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  492 ( 238   ~; 236   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  19 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

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

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

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

fof(f192,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f204,negated_conjecture,
    ! [A,B,C] :
      ( ~ neq(sk4,nil)
      | ssItem(sk5(C,B,A))
      | app(B,C) != sk1
      | app(app(B,cons(A,nil)),C) != sk2
      | ~ ssList(C)
      | ~ ssList(B)
      | ~ ssItem(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f205,negated_conjecture,
    ! [A,B,C] :
      ( ~ neq(sk4,nil)
      | memberP(sk2,sk5(C,B,A))
      | app(B,C) != sk1
      | app(app(B,cons(A,nil)),C) != sk2
      | ~ ssList(C)
      | ~ ssList(B)
      | ~ ssItem(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f206,negated_conjecture,
    ! [A,B,C] :
      ( ~ neq(sk4,nil)
      | geq(sk5(C,B,A),A)
      | app(B,C) != sk1
      | app(app(B,cons(A,nil)),C) != sk2
      | ~ ssList(C)
      | ~ ssList(B)
      | ~ ssItem(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f207,negated_conjecture,
    ! [A,B,C] :
      ( ~ neq(sk4,nil)
      | A != sk5(C,B,A)
      | app(B,C) != sk1
      | app(app(B,cons(A,nil)),C) != sk2
      | ~ ssList(C)
      | ~ ssList(B)
      | ~ ssItem(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f208,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f209,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f210,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f211,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f212,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk7,sk8) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f213,negated_conjecture,
    ! [A] :
      ( ~ neq(sk4,nil)
      | ~ geq(A,sk6)
      | ~ memberP(sk4,A)
      | sk6 = A
      | ~ ssItem(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f221,plain,
    ssList(nil),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f448,plain,
    sk2 = sk4,
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f449,plain,
    sk1 = sk3,
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f450,plain,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f467,plain,
    ( ~ neq(sk4,nil)
    | ! [A,B,C] :
        ( ssItem(sk5(C,B,A))
        | app(B,C) != sk1
        | app(app(B,cons(A,nil)),C) != sk2
        | ~ ssList(C)
        | ~ ssList(B)
        | ~ ssItem(A) ) ),
    inference(miniscoping,[status(thm)],[f204]) ).

fof(f468,plain,
    ! [X0,X1,X2] :
      ( ~ neq(sk4,nil)
      | ssItem(sk5(X2,X1,X0))
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f467]) ).

fof(f469,plain,
    ( ~ neq(sk4,nil)
    | ! [A,B,C] :
        ( memberP(sk2,sk5(C,B,A))
        | app(B,C) != sk1
        | app(app(B,cons(A,nil)),C) != sk2
        | ~ ssList(C)
        | ~ ssList(B)
        | ~ ssItem(A) ) ),
    inference(miniscoping,[status(thm)],[f205]) ).

fof(f470,plain,
    ! [X0,X1,X2] :
      ( ~ neq(sk4,nil)
      | memberP(sk2,sk5(X2,X1,X0))
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f469]) ).

fof(f471,plain,
    ( ~ neq(sk4,nil)
    | ! [A,B,C] :
        ( geq(sk5(C,B,A),A)
        | app(B,C) != sk1
        | app(app(B,cons(A,nil)),C) != sk2
        | ~ ssList(C)
        | ~ ssList(B)
        | ~ ssItem(A) ) ),
    inference(miniscoping,[status(thm)],[f206]) ).

fof(f472,plain,
    ! [X0,X1,X2] :
      ( ~ neq(sk4,nil)
      | geq(sk5(X2,X1,X0),X0)
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f471]) ).

fof(f473,plain,
    ( ~ neq(sk4,nil)
    | ! [A,B,C] :
        ( A != sk5(C,B,A)
        | app(B,C) != sk1
        | app(app(B,cons(A,nil)),C) != sk2
        | ~ ssList(C)
        | ~ ssList(B)
        | ~ ssItem(A) ) ),
    inference(miniscoping,[status(thm)],[f207]) ).

fof(f474,plain,
    ! [X0,X1,X2] :
      ( ~ neq(sk4,nil)
      | X0 != sk5(X2,X1,X0)
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f473]) ).

fof(f475,plain,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    inference(cnf_transformation,[status(thm)],[f208]) ).

fof(f476,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f477,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk8) ),
    inference(cnf_transformation,[status(thm)],[f210]) ).

fof(f478,plain,
    ( ~ neq(sk4,nil)
    | app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
    inference(cnf_transformation,[status(thm)],[f211]) ).

fof(f479,plain,
    ( ~ neq(sk4,nil)
    | app(sk7,sk8) = sk3 ),
    inference(cnf_transformation,[status(thm)],[f212]) ).

fof(f480,plain,
    ( ~ neq(sk4,nil)
    | ! [A] :
        ( ~ geq(A,sk6)
        | ~ memberP(sk4,A)
        | sk6 = A
        | ~ ssItem(A) ) ),
    inference(miniscoping,[status(thm)],[f213]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ neq(sk4,nil)
      | ~ geq(X0,sk6)
      | ~ memberP(sk4,X0)
      | sk6 = X0
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[status(thm)],[f480]) ).

fof(f489,definition,
    ( sQ2_spl
  <=> neq(sk2,nil) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f490,plain,
    ( ~ sQ2_spl
    | neq(sk2,nil) ),
    inference(component_clause,[status(thm)],[f489]) ).

fof(f492,plain,
    sQ2_spl,
    inference(split_clause,[status(thm)],[f450,f489]) ).

fof(f493,definition,
    ( sQ3_spl
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f495,plain,
    ( sQ3_spl
    | ~ neq(sk4,nil) ),
    inference(component_clause,[status(thm)],[f493]) ).

fof(f497,definition,
    ! [X0,X1,X2] :
      ( sQ4_spl
    <=> ( ssItem(sk5(X2,X1,X0))
        | app(X1,X2) != sk1
        | app(app(X1,cons(X0,nil)),X2) != sk2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f498,plain,
    ! [X0,X1,X2] :
      ( ~ sQ4_spl
      | ssItem(sk5(X2,X1,X0))
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(component_clause,[status(thm)],[f497]) ).

fof(f501,definition,
    ! [X0,X1,X2] :
      ( sQ5_spl
    <=> ( memberP(sk2,sk5(X2,X1,X0))
        | app(X1,X2) != sk1
        | app(app(X1,cons(X0,nil)),X2) != sk2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ! [X0,X1,X2] :
      ( ~ sQ5_spl
      | memberP(sk2,sk5(X2,X1,X0))
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(component_clause,[status(thm)],[f501]) ).

fof(f505,definition,
    ! [X0,X1,X2] :
      ( sQ6_spl
    <=> ( geq(sk5(X2,X1,X0),X0)
        | app(X1,X2) != sk1
        | app(app(X1,cons(X0,nil)),X2) != sk2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f506,plain,
    ! [X0,X1,X2] :
      ( ~ sQ6_spl
      | geq(sk5(X2,X1,X0),X0)
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(component_clause,[status(thm)],[f505]) ).

fof(f509,definition,
    ! [X0,X1,X2] :
      ( sQ7_spl
    <=> ( X0 != sk5(X2,X1,X0)
        | app(X1,X2) != sk1
        | app(app(X1,cons(X0,nil)),X2) != sk2
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | X0 != sk5(X2,X1,X0)
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f513,definition,
    ( sQ8_spl
  <=> ssItem(sk6) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f517,definition,
    ( sQ9_spl
  <=> ssList(sk7) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f521,definition,
    ( sQ10_spl
  <=> ssList(sk8) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f525,definition,
    ( sQ11_spl
  <=> app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f526,plain,
    ( ~ sQ11_spl
    | app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
    inference(component_clause,[status(thm)],[f525]) ).

fof(f529,definition,
    ( sQ12_spl
  <=> app(sk7,sk8) = sk3 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f530,plain,
    ( ~ sQ12_spl
    | app(sk7,sk8) = sk3 ),
    inference(component_clause,[status(thm)],[f529]) ).

fof(f533,definition,
    ! [X0] :
      ( sQ13_spl
    <=> ( ~ geq(X0,sk6)
        | ~ memberP(sk4,X0)
        | sk6 = X0
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ geq(X0,sk6)
      | ~ memberP(sk4,X0)
      | sk6 = X0
      | ~ ssItem(X0) ),
    inference(component_clause,[status(thm)],[f533]) ).

fof(f537,plain,
    ( ~ sQ3_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f468,f497,f493]) ).

fof(f538,plain,
    ( ~ sQ3_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f470,f501,f493]) ).

fof(f539,plain,
    ( ~ sQ3_spl
    | sQ6_spl ),
    inference(split_clause,[status(thm)],[f472,f505,f493]) ).

fof(f540,plain,
    ( ~ sQ3_spl
    | sQ7_spl ),
    inference(split_clause,[status(thm)],[f474,f509,f493]) ).

fof(f541,plain,
    ( ~ sQ3_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f475,f513,f493]) ).

fof(f542,plain,
    ( ~ sQ3_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f476,f517,f493]) ).

fof(f543,plain,
    ( ~ sQ3_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f477,f521,f493]) ).

fof(f544,plain,
    ( ~ sQ3_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f478,f525,f493]) ).

fof(f545,plain,
    ( ~ sQ3_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f479,f529,f493]) ).

fof(f546,plain,
    ( ~ sQ3_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f481,f533,f493]) ).

fof(f559,plain,
    ( sQ3_spl
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[status(thm)],[f448,f495]) ).

fof(f560,plain,
    ( sQ3_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f559,f490]) ).

fof(f561,plain,
    ( sQ3_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f560]) ).

fof(f562,plain,
    ( ~ sQ11_spl
    | app(app(sk7,cons(sk6,nil)),sk8) = sk2 ),
    inference(forward_demodulation,[status(thm)],[f448,f526]) ).

fof(f563,plain,
    ( ~ sQ12_spl
    | app(sk7,sk8) = sk1 ),
    inference(forward_demodulation,[status(thm)],[f449,f530]) ).

fof(f564,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ geq(X0,sk6)
      | ~ memberP(sk2,X0)
      | sk6 = X0
      | ~ ssItem(X0) ),
    inference(forward_demodulation,[status(thm)],[f448,f534]) ).

fof(f571,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | memberP(sk2,sk5(sk8,sk7,sk6))
    | app(sk7,sk8) != sk1
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f562,f502]) ).

fof(f572,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | ssItem(sk5(sk8,sk7,sk6))
    | app(sk7,sk8) != sk1
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f562,f498]) ).

fof(f576,definition,
    ( sQ15_spl
  <=> app(sk7,sk8) = sk1 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f578,plain,
    ( sQ15_spl
    | app(sk7,sk8) != sk1 ),
    inference(component_clause,[status(thm)],[f576]) ).

fof(f579,definition,
    ( sQ16_spl
  <=> memberP(sk2,sk5(sk8,sk7,sk6)) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f580,plain,
    ( ~ sQ16_spl
    | memberP(sk2,sk5(sk8,sk7,sk6)) ),
    inference(component_clause,[status(thm)],[f579]) ).

fof(f582,plain,
    ( ~ sQ5_spl
    | ~ sQ11_spl
    | sQ16_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f571,f513,f517,f521,f576,f579,f525,f501]) ).

fof(f583,definition,
    ( sQ17_spl
  <=> ssItem(sk5(sk8,sk7,sk6)) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f586,plain,
    ( ~ sQ4_spl
    | ~ sQ11_spl
    | sQ17_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f572,f513,f517,f521,f576,f583,f525,f497]) ).

fof(f599,plain,
    ( sQ15_spl
    | ~ sQ12_spl
    | sk1 != sk1 ),
    inference(forward_demodulation,[status(thm)],[f563,f578]) ).

fof(f600,plain,
    ( sQ15_spl
    | ~ sQ12_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f599]) ).

fof(f601,plain,
    ( sQ15_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f600]) ).

fof(f602,plain,
    ( ~ sQ11_spl
    | ~ sQ6_spl
    | geq(sk5(sk8,sk7,sk6),sk6)
    | app(sk7,sk8) != sk1
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f506,f562]) ).

fof(f604,definition,
    ( sQ21_spl
  <=> geq(sk5(sk8,sk7,sk6),sk6) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f607,plain,
    ( ~ sQ11_spl
    | ~ sQ6_spl
    | sQ21_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f602,f513,f517,f521,f576,f604,f505,f525]) ).

fof(f618,plain,
    ( ~ sQ11_spl
    | ~ sQ7_spl
    | sk6 != sk5(sk8,sk7,sk6)
    | app(sk7,sk8) != sk1
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[status(thm)],[f510,f562]) ).

fof(f620,definition,
    ( sQ23_spl
  <=> sk6 = sk5(sk8,sk7,sk6) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( ~ sQ11_spl
    | ~ sQ7_spl
    | ~ sQ23_spl
    | ~ sQ15_spl
    | ~ sQ10_spl
    | ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f618,f513,f517,f521,f576,f620,f509,f525]) ).

fof(f626,definition,
    ( sQ24_spl
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f628,plain,
    ( sQ24_spl
    | ~ ssList(nil) ),
    inference(component_clause,[status(thm)],[f626]) ).

fof(f630,plain,
    ( sQ24_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f628,f221]) ).

fof(f631,plain,
    sQ24_spl,
    inference(contradiction_clause,[status(thm)],[f630]) ).

fof(f656,plain,
    ( ~ sQ13_spl
    | ~ sQ16_spl
    | ~ geq(sk5(sk8,sk7,sk6),sk6)
    | sk6 = sk5(sk8,sk7,sk6)
    | ~ ssItem(sk5(sk8,sk7,sk6)) ),
    inference(resolution,[status(thm)],[f580,f564]) ).

fof(f657,plain,
    ( ~ sQ13_spl
    | ~ sQ16_spl
    | ~ sQ21_spl
    | sQ23_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f656,f583,f620,f604,f579,f533]) ).

fof(f658,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f492,f537,f538,f539,f540,f541,f542,f543,f544,f545,f546,f561,f582,f586,f601,f607,f623,f631,f657]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC002-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n003.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 07:50:16 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.39  % Drodi V4.1.1
% 0.08/0.42  % Refutation found
% 0.08/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.46  % Elapsed time: 0.086164 seconds
% 0.08/0.46  % CPU time: 0.248203 seconds
% 0.08/0.46  % Total memory used: 62.927 MB
% 0.08/0.46  % Net memory used: 62.839 MB
%------------------------------------------------------------------------------