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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SCT004-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/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 02:06:46 PM UTC 2026

% Result   : Unsatisfiable 0.06s 0.69s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (   4 unt;   7 def)
%            Number of atoms       :  116 (  14 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  128 (  48   ~;  73   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f658,negated_conjecture,
    ( c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f661,negated_conjecture,
    ! [V_xg,V_xc] :
      ( ~ hBOOL(c_in(c_Pair(V_xc,V_xc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(V_xg,V_xg,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f666,negated_conjecture,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | v_x != v_xa
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | v_x != v_xa ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f671,negated_conjecture,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f673,negated_conjecture,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f675,negated_conjecture,
    ! [V_xh,V_yc,V_y,V_xb] :
      ( V_xb = V_y
      | hBOOL(c_in(c_Pair(V_xb,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(V_y,V_xb,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | V_xh = V_yc
      | hBOOL(c_in(c_Pair(V_yc,V_xh,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(V_xh,V_yc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1668,plain,
    ( c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(cnf_transformation,[status(thm)],[f658]) ).

fof(f1673,plain,
    ( ! [V_xc] : ~ hBOOL(c_in(c_Pair(V_xc,V_xc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ! [V_xg] : ~ hBOOL(c_in(c_Pair(V_xg,V_xg,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(miniscoping,[status(thm)],[f661]) ).

fof(f1674,plain,
    ! [X0,X1] :
      ( ~ hBOOL(c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(cnf_transformation,[status(thm)],[f1673]) ).

fof(f1682,plain,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | v_x != v_xa
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | v_x != v_xa ),
    inference(cnf_transformation,[status(thm)],[f666]) ).

fof(f1687,plain,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(cnf_transformation,[status(thm)],[f671]) ).

fof(f1689,plain,
    ( ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(cnf_transformation,[status(thm)],[f673]) ).

fof(f1691,plain,
    ! [V_y,V_xb] :
      ( V_xb = V_y
      | hBOOL(c_in(c_Pair(V_xb,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(V_y,V_xb,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ! [V_xh,V_yc] :
          ( V_xh = V_yc
          | hBOOL(c_in(c_Pair(V_yc,V_xh,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
          | hBOOL(c_in(c_Pair(V_xh,V_yc,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
    inference(miniscoping,[status(thm)],[f675]) ).

fof(f1692,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X2
      | hBOOL(c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | X0 = X1
      | hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(cnf_transformation,[status(thm)],[f1691]) ).

fof(f1726,definition,
    ( sQ0_spl
  <=> c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f1729,plain,
    sQ0_spl,
    inference(split_clause,[status(thm)],[f1668,f1726]) ).

fof(f1730,definition,
    ! [X0] :
      ( sQ1_spl
    <=> ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f1731,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(component_clause,[status(thm)],[f1730]) ).

fof(f1735,plain,
    sQ1_spl,
    inference(split_clause,[status(thm)],[f1674,f1730]) ).

fof(f1736,definition,
    ! [X0,X1] :
      ( sQ2_spl
    <=> ( X0 = X1
        | hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f1737,plain,
    ! [X0,X1] :
      ( ~ sQ2_spl
      | X0 = X1
      | hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(component_clause,[status(thm)],[f1736]) ).

fof(f1743,definition,
    ( sQ3_spl
  <=> v_x = v_xa ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f1746,definition,
    ( sQ4_spl
  <=> hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f1747,plain,
    ( ~ sQ4_spl
    | hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(component_clause,[status(thm)],[f1746]) ).

fof(f1749,plain,
    ( ~ sQ0_spl
    | sQ4_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f1682,f1743,f1746,f1726]) ).

fof(f1750,definition,
    ( sQ5_spl
  <=> hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f1754,definition,
    ( sQ6_spl
  <=> hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f1756,plain,
    ( sQ6_spl
    | ~ hBOOL(c_in(c_Pair(v_xa,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(component_clause,[status(thm)],[f1754]) ).

fof(f1760,plain,
    ( ~ sQ0_spl
    | sQ4_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f1687,f1754,f1746,f1726]) ).

fof(f1762,plain,
    ( ~ sQ0_spl
    | sQ4_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f1689,f1750,f1746,f1726]) ).

fof(f1764,plain,
    sQ2_spl,
    inference(split_clause,[status(thm)],[f1692,f1736]) ).

fof(f1766,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1747,f1731]) ).

fof(f1767,plain,
    ( ~ sQ4_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f1766]) ).

fof(f1768,plain,
    ( sQ6_spl
    | ~ sQ2_spl
    | v_x = v_xa
    | hBOOL(c_in(c_Pair(v_x,v_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    inference(resolution,[status(thm)],[f1737,f1756]) ).

fof(f1770,plain,
    ( sQ6_spl
    | ~ sQ2_spl
    | sQ3_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1768,f1750,f1743,f1736,f1754]) ).

fof(f1771,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1729,f1735,f1749,f1760,f1762,f1764,f1767,f1770]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SCT004-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % Computer : n008.cluster.edu
% 0.19/0.51  % Model    : x86_64 x86_64
% 0.19/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.51  % Memory   : 8046.5625MB
% 0.19/0.51  % OS       : Linux 6.8.0-71-generic
% 0.19/0.51  % CPULimit : 300
% 0.19/0.51  % WCLimit  : 300
% 0.19/0.51  % DateTime : Mon Sep 21 04:26:09 UTC 2026
% 0.19/0.52  % CPUTime  : 
% 0.06/0.66  % Drodi V4.1.1
% 0.06/0.69  % Refutation found
% 0.06/0.69  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.34/0.77  % Elapsed time: 0.236402 seconds
% 0.34/0.77  % CPU time: 0.258033 seconds
% 0.34/0.77  % Total memory used: 39.247 MB
% 0.34/0.77  % Net memory used: 39.130 MB
%------------------------------------------------------------------------------