↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT005-2 : 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 01:25:13 PM UTC 2026

% Result   : Unsatisfiable 2.21s 1.28s
% Output   : CNFRefutation 2.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  143 (  55 unt;  20 def)
%            Number of atoms       :  505 (  20 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  702 ( 340   ~; 342   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  21 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  180 ( 180   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [A,B,C,D] :
      ( organization(A,D)
      | ~ greater(C,D)
      | ~ greater(D,B)
      | ~ organization(A,C)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] :
      ( greater(C,B)
      | ~ reorganization(A,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    ! [A,B,C,D,E,F,G,H,I] :
      ( greater(D,F)
      | ~ greater(I,H)
      | ~ complexity(C,I,B)
      | ~ complexity(A,H,B)
      | ~ reorganization_type(C,G,B)
      | ~ reorganization_type(A,G,B)
      | ~ reorganization(C,B,D)
      | ~ reorganization(A,B,F)
      | ~ class(C,E,B)
      | ~ class(A,E,B)
      | ~ organization(C,D)
      | ~ organization(C,B)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    ! [A,B,C,D,E,F,G,H,I,J,K,L] :
      ( I = J
      | greater(I,J)
      | ~ greater(L,K)
      | ~ complexity(C,L,B)
      | ~ complexity(A,K,B)
      | ~ survival_chance(C,J,D)
      | ~ survival_chance(A,I,D)
      | ~ reorganization_type(C,H,B)
      | ~ reorganization_type(A,H,B)
      | ~ reorganization(C,B,G)
      | ~ reorganization(A,B,D)
      | ~ survival_chance(C,F,B)
      | ~ survival_chance(A,F,B)
      | ~ class(C,E,B)
      | ~ class(A,E,B)
      | ~ organization(C,D)
      | ~ organization(A,D)
      | ~ organization(C,B)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    organization(sk5,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    organization(sk6,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    organization(sk5,sk17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    organization(sk6,sk17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    class(sk5,sk8,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    class(sk6,sk8,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    survival_chance(sk5,sk9,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    survival_chance(sk6,sk9,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    reorganization(sk5,sk15,sk16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    reorganization(sk6,sk15,sk17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    reorganization_type(sk5,sk7,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    reorganization_type(sk6,sk7,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    survival_chance(sk5,sk10,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    survival_chance(sk6,sk11,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    complexity(sk5,sk12,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    complexity(sk6,sk13,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    greater(sk13,sk12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    sk14 = sk16,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ~ greater(sk10,sk11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    sk10 != sk11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,plain,
    ! [A,D] :
      ( organization(A,D)
      | ! [C] :
          ( ~ greater(C,D)
          | ! [B] :
              ( ~ greater(D,B)
              | ~ organization(A,C)
              | ~ organization(A,B) ) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( organization(X0,X3)
      | ~ greater(X2,X3)
      | ~ greater(X3,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f48,plain,
    ! [B,C] :
      ( greater(C,B)
      | ! [A] : ~ reorganization(A,B,C) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( greater(X2,X1)
      | ~ reorganization(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f54,plain,
    ! [D,F] :
      ( greater(D,F)
      | ! [H,I] :
          ( ~ greater(I,H)
          | ! [B,C] :
              ( ~ complexity(C,I,B)
              | ! [A] :
                  ( ~ complexity(A,H,B)
                  | ! [G] :
                      ( ~ reorganization_type(C,G,B)
                      | ~ reorganization_type(A,G,B)
                      | ~ reorganization(C,B,D)
                      | ~ reorganization(A,B,F)
                      | ! [E] :
                          ( ~ class(C,E,B)
                          | ~ class(A,E,B)
                          | ~ organization(C,D)
                          | ~ organization(C,B)
                          | ~ organization(A,B) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X3,X5)
      | ~ greater(X8,X7)
      | ~ complexity(X2,X8,X1)
      | ~ complexity(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ reorganization(X2,X1,X3)
      | ~ reorganization(X0,X1,X5)
      | ~ class(X2,X4,X1)
      | ~ class(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ organization(X2,X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f56,plain,
    ! [I,J] :
      ( I = J
      | greater(I,J)
      | ! [K,L] :
          ( ~ greater(L,K)
          | ! [B,C] :
              ( ~ complexity(C,L,B)
              | ! [A] :
                  ( ~ complexity(A,K,B)
                  | ! [D] :
                      ( ~ survival_chance(C,J,D)
                      | ~ survival_chance(A,I,D)
                      | ! [H] :
                          ( ~ reorganization_type(C,H,B)
                          | ~ reorganization_type(A,H,B)
                          | ! [G] : ~ reorganization(C,B,G)
                          | ~ reorganization(A,B,D)
                          | ! [F] :
                              ( ~ survival_chance(C,F,B)
                              | ~ survival_chance(A,F,B)
                              | ! [E] :
                                  ( ~ class(C,E,B)
                                  | ~ class(A,E,B)
                                  | ~ organization(C,D)
                                  | ~ organization(A,D)
                                  | ~ organization(C,B)
                                  | ~ organization(A,B) ) ) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( X8 = X9
      | greater(X8,X9)
      | ~ greater(X11,X10)
      | ~ complexity(X2,X11,X1)
      | ~ complexity(X0,X10,X1)
      | ~ survival_chance(X2,X9,X3)
      | ~ survival_chance(X0,X8,X3)
      | ~ reorganization_type(X2,X7,X1)
      | ~ reorganization_type(X0,X7,X1)
      | ~ reorganization(X2,X1,X6)
      | ~ reorganization(X0,X1,X3)
      | ~ survival_chance(X2,X5,X1)
      | ~ survival_chance(X0,X5,X1)
      | ~ class(X2,X4,X1)
      | ~ class(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ organization(X0,X3)
      | ~ organization(X2,X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f63,plain,
    organization(sk5,sk15),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f64,plain,
    organization(sk6,sk15),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f65,plain,
    organization(sk5,sk17),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f66,plain,
    organization(sk6,sk17),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f67,plain,
    class(sk5,sk8,sk15),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f68,plain,
    class(sk6,sk8,sk15),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f69,plain,
    survival_chance(sk5,sk9,sk15),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f70,plain,
    survival_chance(sk6,sk9,sk15),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f71,plain,
    reorganization(sk5,sk15,sk16),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f72,plain,
    reorganization(sk6,sk15,sk17),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f73,plain,
    reorganization_type(sk5,sk7,sk15),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f74,plain,
    reorganization_type(sk6,sk7,sk15),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f76,plain,
    survival_chance(sk5,sk10,sk14),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f77,plain,
    survival_chance(sk6,sk11,sk14),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f78,plain,
    complexity(sk5,sk12,sk15),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f79,plain,
    complexity(sk6,sk13,sk15),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f80,plain,
    greater(sk13,sk12),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f82,plain,
    sk14 = sk16,
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f83,plain,
    ~ greater(sk10,sk11),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f84,plain,
    sk10 != sk11,
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f101,definition,
    ( sQ5_spl
  <=> greater(sk10,sk11) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f102,plain,
    ( ~ sQ5_spl
    | greater(sk10,sk11) ),
    inference(component_clause,[status(thm)],[f101]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( organization(sk6,X1)
      | ~ greater(X0,X1)
      | ~ greater(X1,sk15)
      | ~ organization(sk6,X0) ),
    inference(resolution,[status(thm)],[f47,f64]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( organization(sk5,X1)
      | ~ greater(X0,X1)
      | ~ greater(X1,sk15)
      | ~ organization(sk5,X0) ),
    inference(resolution,[status(thm)],[f47,f63]) ).

fof(f117,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f102,f83]) ).

fof(f118,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f117]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( greater(X1,X2)
      | ~ greater(X5,X4)
      | ~ complexity(X0,X5,sk15)
      | ~ complexity(sk5,X4,sk15)
      | ~ reorganization_type(X0,X3,sk15)
      | ~ reorganization_type(sk5,X3,sk15)
      | ~ reorganization(X0,sk15,X1)
      | ~ reorganization(sk5,sk15,X2)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(X0,sk15)
      | ~ organization(sk5,sk15) ),
    inference(resolution,[status(thm)],[f55,f67]) ).

fof(f122,definition,
    ( sQ6_spl
  <=> organization(sk5,sk15) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f124,plain,
    ( sQ6_spl
    | ~ organization(sk5,sk15) ),
    inference(component_clause,[status(thm)],[f122]) ).

fof(f125,definition,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sQ7_spl
    <=> ( greater(X1,X2)
        | ~ greater(X5,X4)
        | ~ complexity(X0,X5,sk15)
        | ~ complexity(sk5,X4,sk15)
        | ~ reorganization_type(X0,X3,sk15)
        | ~ reorganization_type(sk5,X3,sk15)
        | ~ reorganization(X0,sk15,X1)
        | ~ reorganization(sk5,sk15,X2)
        | ~ class(X0,sk8,sk15)
        | ~ organization(X0,X1)
        | ~ organization(X0,sk15) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ7_spl
      | greater(X1,X2)
      | ~ greater(X5,X4)
      | ~ complexity(X0,X5,sk15)
      | ~ complexity(sk5,X4,sk15)
      | ~ reorganization_type(X0,X3,sk15)
      | ~ reorganization_type(sk5,X3,sk15)
      | ~ reorganization(X0,sk15,X1)
      | ~ reorganization(sk5,sk15,X2)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(X0,sk15) ),
    inference(component_clause,[status(thm)],[f125]) ).

fof(f128,plain,
    ( sQ7_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f121,f122,f125]) ).

fof(f129,plain,
    ( sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f124,f63]) ).

fof(f130,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f129]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( X5 = X6
      | greater(X5,X6)
      | ~ greater(X8,X7)
      | ~ complexity(X0,X8,sk15)
      | ~ complexity(sk5,X7,sk15)
      | ~ survival_chance(X0,X6,X1)
      | ~ survival_chance(sk5,X5,X1)
      | ~ reorganization_type(X0,X4,sk15)
      | ~ reorganization_type(sk5,X4,sk15)
      | ~ reorganization(X0,sk15,X3)
      | ~ reorganization(sk5,sk15,X1)
      | ~ survival_chance(X0,X2,sk15)
      | ~ survival_chance(sk5,X2,sk15)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(sk5,X1)
      | ~ organization(X0,sk15)
      | ~ organization(sk5,sk15) ),
    inference(resolution,[status(thm)],[f57,f67]) ).

fof(f132,definition,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( sQ8_spl
    <=> ( X5 = X6
        | greater(X5,X6)
        | ~ greater(X8,X7)
        | ~ complexity(X0,X8,sk15)
        | ~ complexity(sk5,X7,sk15)
        | ~ survival_chance(X0,X6,X1)
        | ~ survival_chance(sk5,X5,X1)
        | ~ reorganization_type(X0,X4,sk15)
        | ~ reorganization_type(sk5,X4,sk15)
        | ~ reorganization(X0,sk15,X3)
        | ~ reorganization(sk5,sk15,X1)
        | ~ survival_chance(X0,X2,sk15)
        | ~ survival_chance(sk5,X2,sk15)
        | ~ class(X0,sk8,sk15)
        | ~ organization(X0,X1)
        | ~ organization(sk5,X1)
        | ~ organization(X0,sk15) ) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ sQ8_spl
      | X5 = X6
      | greater(X5,X6)
      | ~ greater(X8,X7)
      | ~ complexity(X0,X8,sk15)
      | ~ complexity(sk5,X7,sk15)
      | ~ survival_chance(X0,X6,X1)
      | ~ survival_chance(sk5,X5,X1)
      | ~ reorganization_type(X0,X4,sk15)
      | ~ reorganization_type(sk5,X4,sk15)
      | ~ reorganization(X0,sk15,X3)
      | ~ reorganization(sk5,sk15,X1)
      | ~ survival_chance(X0,X2,sk15)
      | ~ survival_chance(sk5,X2,sk15)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(sk5,X1)
      | ~ organization(X0,sk15) ),
    inference(component_clause,[status(thm)],[f132]) ).

fof(f135,plain,
    ( sQ8_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f131,f122,f132]) ).

fof(f140,definition,
    ( sQ9_spl
  <=> organization(sk6,sk15) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f142,plain,
    ( sQ9_spl
    | ~ organization(sk6,sk15) ),
    inference(component_clause,[status(thm)],[f140]) ).

fof(f151,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f142,f64]) ).

fof(f152,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f151]) ).

fof(f154,plain,
    greater(sk16,sk15),
    inference(resolution,[status(thm)],[f71,f49]) ).

fof(f176,definition,
    ( sQ12_spl
  <=> organization(sk5,sk16) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f179,definition,
    ( sQ13_spl
  <=> organization(sk5,sk17) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f181,plain,
    ( sQ13_spl
    | ~ organization(sk5,sk17) ),
    inference(component_clause,[status(thm)],[f179]) ).

fof(f185,definition,
    ( sQ15_spl
  <=> greater(sk17,sk16) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f186,plain,
    ( ~ sQ15_spl
    | greater(sk17,sk16) ),
    inference(component_clause,[status(thm)],[f185]) ).

fof(f189,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f181,f65]) ).

fof(f190,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f189]) ).

fof(f191,plain,
    survival_chance(sk5,sk10,sk16),
    inference(forward_demodulation,[status(thm)],[f82,f76]) ).

fof(f192,plain,
    survival_chance(sk6,sk11,sk16),
    inference(forward_demodulation,[status(thm)],[f82,f77]) ).

fof(f198,plain,
    ! [X0] :
      ( organization(sk6,sk16)
      | ~ greater(X0,sk16)
      | ~ organization(sk6,X0) ),
    inference(resolution,[status(thm)],[f110,f154]) ).

fof(f202,definition,
    ( sQ17_spl
  <=> organization(sk6,sk17) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f204,plain,
    ( sQ17_spl
    | ~ organization(sk6,sk17) ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f206,definition,
    ! [X0] :
      ( sQ18_spl
    <=> ( ~ greater(X0,sk16)
        | ~ organization(sk6,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | ~ greater(X0,sk16)
      | ~ organization(sk6,X0) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,definition,
    ( sQ19_spl
  <=> organization(sk6,sk16) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f212,plain,
    ( sQ19_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f198,f206,f209]) ).

fof(f216,plain,
    ! [X0] :
      ( organization(sk5,sk16)
      | ~ greater(X0,sk16)
      | ~ organization(sk5,X0) ),
    inference(resolution,[status(thm)],[f112,f154]) ).

fof(f221,definition,
    ! [X0] :
      ( sQ21_spl
    <=> ( ~ greater(X0,sk16)
        | ~ organization(sk5,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | ~ greater(X0,sk16)
      | ~ organization(sk5,X0) ),
    inference(component_clause,[status(thm)],[f221]) ).

fof(f224,plain,
    ( sQ12_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f216,f221,f176]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ7_spl
      | greater(X1,sk16)
      | ~ greater(X4,X3)
      | ~ complexity(X0,X4,sk15)
      | ~ complexity(sk5,X3,sk15)
      | ~ reorganization_type(X0,X2,sk15)
      | ~ reorganization_type(sk5,X2,sk15)
      | ~ reorganization(X0,sk15,X1)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(X0,sk15) ),
    inference(resolution,[status(thm)],[f126,f71]) ).

fof(f229,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ sQ8_spl
      | X4 = X5
      | greater(X4,X5)
      | ~ greater(X7,X6)
      | ~ complexity(X0,X7,sk15)
      | ~ complexity(sk5,X6,sk15)
      | ~ survival_chance(X0,X5,X1)
      | ~ survival_chance(sk5,X4,X1)
      | ~ reorganization_type(X0,X3,sk15)
      | ~ reorganization_type(sk5,X3,sk15)
      | ~ reorganization(X0,sk15,X2)
      | ~ reorganization(sk5,sk15,X1)
      | ~ survival_chance(X0,sk9,sk15)
      | ~ class(X0,sk8,sk15)
      | ~ organization(X0,X1)
      | ~ organization(sk5,X1)
      | ~ organization(X0,sk15) ),
    inference(resolution,[status(thm)],[f133,f69]) ).

fof(f465,plain,
    ! [X0,X1,X2] :
      ( ~ sQ7_spl
      | greater(sk17,sk16)
      | ~ greater(X2,X1)
      | ~ complexity(sk6,X2,sk15)
      | ~ complexity(sk5,X1,sk15)
      | ~ reorganization_type(sk6,X0,sk15)
      | ~ reorganization_type(sk5,X0,sk15)
      | ~ class(sk6,sk8,sk15)
      | ~ organization(sk6,sk17)
      | ~ organization(sk6,sk15) ),
    inference(resolution,[status(thm)],[f227,f72]) ).

fof(f467,definition,
    ( sQ50_spl
  <=> class(sk6,sk8,sk15) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f469,plain,
    ( sQ50_spl
    | ~ class(sk6,sk8,sk15) ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f470,definition,
    ! [X0] :
      ( sQ51_spl
    <=> ( ~ reorganization_type(sk6,X0,sk15)
        | ~ reorganization_type(sk5,X0,sk15) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f471,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | ~ reorganization_type(sk6,X0,sk15)
      | ~ reorganization_type(sk5,X0,sk15) ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f473,definition,
    ! [X1,X2] :
      ( sQ52_spl
    <=> ( ~ greater(X2,X1)
        | ~ complexity(sk6,X2,sk15)
        | ~ complexity(sk5,X1,sk15) ) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( ~ sQ52_spl
      | ~ greater(X1,X0)
      | ~ complexity(sk6,X1,sk15)
      | ~ complexity(sk5,X0,sk15) ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( ~ sQ7_spl
    | sQ15_spl
    | sQ52_spl
    | sQ51_spl
    | ~ sQ50_spl
    | ~ sQ17_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f465,f140,f202,f467,f470,f473,f185,f125]) ).

fof(f495,plain,
    ( sQ50_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f469,f68]) ).

fof(f496,plain,
    sQ50_spl,
    inference(contradiction_clause,[status(thm)],[f495]) ).

fof(f540,plain,
    ( ~ sQ51_spl
    | ~ reorganization_type(sk6,sk7,sk15) ),
    inference(resolution,[status(thm)],[f471,f73]) ).

fof(f541,plain,
    ( ~ sQ51_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f540,f74]) ).

fof(f542,plain,
    ~ sQ51_spl,
    inference(contradiction_clause,[status(thm)],[f541]) ).

fof(f552,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ sQ8_spl
      | X3 = X4
      | greater(X3,X4)
      | ~ greater(X6,X5)
      | ~ complexity(sk6,X6,sk15)
      | ~ complexity(sk5,X5,sk15)
      | ~ survival_chance(sk6,X4,X0)
      | ~ survival_chance(sk5,X3,X0)
      | ~ reorganization_type(sk6,X2,sk15)
      | ~ reorganization_type(sk5,X2,sk15)
      | ~ reorganization(sk6,sk15,X1)
      | ~ reorganization(sk5,sk15,X0)
      | ~ class(sk6,sk8,sk15)
      | ~ organization(sk6,X0)
      | ~ organization(sk5,X0)
      | ~ organization(sk6,sk15) ),
    inference(resolution,[status(thm)],[f229,f70]) ).

fof(f554,definition,
    ! [X0,X3,X4] :
      ( sQ59_spl
    <=> ( X3 = X4
        | greater(X3,X4)
        | ~ survival_chance(sk6,X4,X0)
        | ~ survival_chance(sk5,X3,X0)
        | ~ reorganization(sk5,sk15,X0)
        | ~ organization(sk6,X0)
        | ~ organization(sk5,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f555,plain,
    ! [X0,X1,X2] :
      ( ~ sQ59_spl
      | X1 = X2
      | greater(X1,X2)
      | ~ survival_chance(sk6,X2,X0)
      | ~ survival_chance(sk5,X1,X0)
      | ~ reorganization(sk5,sk15,X0)
      | ~ organization(sk6,X0)
      | ~ organization(sk5,X0) ),
    inference(component_clause,[status(thm)],[f554]) ).

fof(f557,definition,
    ! [X1] :
      ( sQ60_spl
    <=> ~ reorganization(sk6,sk15,X1) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f558,plain,
    ! [X0] :
      ( ~ sQ60_spl
      | ~ reorganization(sk6,sk15,X0) ),
    inference(component_clause,[status(thm)],[f557]) ).

fof(f560,plain,
    ( ~ sQ8_spl
    | sQ52_spl
    | sQ51_spl
    | sQ60_spl
    | ~ sQ50_spl
    | sQ59_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f552,f140,f554,f467,f557,f470,f473,f132]) ).

fof(f562,plain,
    ( ~ sQ60_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f72,f558]) ).

fof(f563,plain,
    ~ sQ60_spl,
    inference(contradiction_clause,[status(thm)],[f562]) ).

fof(f621,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f204,f66]) ).

fof(f622,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f621]) ).

fof(f625,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | ~ greater(X0,sk12)
      | ~ complexity(sk6,X0,sk15) ),
    inference(resolution,[status(thm)],[f474,f78]) ).

fof(f626,plain,
    ( ~ sQ52_spl
    | ~ greater(sk13,sk12) ),
    inference(resolution,[status(thm)],[f625,f79]) ).

fof(f627,plain,
    ( ~ sQ52_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f626,f80]) ).

fof(f628,plain,
    ~ sQ52_spl,
    inference(contradiction_clause,[status(thm)],[f627]) ).

fof(f639,plain,
    ( ~ sQ18_spl
    | ~ sQ15_spl
    | ~ organization(sk6,sk17) ),
    inference(resolution,[status(thm)],[f186,f207]) ).

fof(f647,plain,
    ( ~ sQ18_spl
    | ~ sQ15_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f639,f202,f185,f206]) ).

fof(f768,plain,
    ( ~ sQ15_spl
    | ~ sQ21_spl
    | ~ organization(sk5,sk17) ),
    inference(resolution,[status(thm)],[f222,f186]) ).

fof(f769,plain,
    ( ~ sQ15_spl
    | ~ sQ21_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f768,f179,f221,f185]) ).

fof(f1341,definition,
    ( sQ101_spl
  <=> reorganization(sk5,sk15,sk16) ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f1343,plain,
    ( sQ101_spl
    | ~ reorganization(sk5,sk15,sk16) ),
    inference(component_clause,[status(thm)],[f1341]) ).

fof(f1370,plain,
    ( sQ101_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1343,f71]) ).

fof(f1371,plain,
    sQ101_spl,
    inference(contradiction_clause,[status(thm)],[f1370]) ).

fof(f1375,plain,
    ! [X0] :
      ( ~ sQ59_spl
      | sk10 = X0
      | greater(sk10,X0)
      | ~ survival_chance(sk6,X0,sk16)
      | ~ reorganization(sk5,sk15,sk16)
      | ~ organization(sk6,sk16)
      | ~ organization(sk5,sk16) ),
    inference(resolution,[status(thm)],[f555,f191]) ).

fof(f1389,definition,
    ! [X0] :
      ( sQ112_spl
    <=> ( sk10 = X0
        | greater(sk10,X0)
        | ~ survival_chance(sk6,X0,sk16) ) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f1390,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | sk10 = X0
      | greater(sk10,X0)
      | ~ survival_chance(sk6,X0,sk16) ),
    inference(component_clause,[status(thm)],[f1389]) ).

fof(f1392,plain,
    ( ~ sQ59_spl
    | sQ112_spl
    | ~ sQ101_spl
    | ~ sQ19_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f1375,f176,f209,f1341,f1389,f554]) ).

fof(f1607,plain,
    ( ~ sQ112_spl
    | sk10 = sk11
    | greater(sk10,sk11) ),
    inference(resolution,[status(thm)],[f1390,f192]) ).

fof(f1615,definition,
    ( sQ132_spl
  <=> sk10 = sk11 ),
    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).

fof(f1616,plain,
    ( ~ sQ132_spl
    | sk10 = sk11 ),
    inference(component_clause,[status(thm)],[f1615]) ).

fof(f1618,plain,
    ( ~ sQ112_spl
    | sQ132_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f1607,f101,f1615,f1389]) ).

fof(f1619,plain,
    ( ~ sQ132_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1616,f84]) ).

fof(f1620,plain,
    ~ sQ132_spl,
    inference(contradiction_clause,[status(thm)],[f1619]) ).

fof(f1621,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f118,f128,f130,f135,f152,f190,f212,f224,f476,f496,f542,f560,f563,f622,f628,f647,f769,f1371,f1392,f1618,f1620]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : MGT005-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42  % Computer : n003.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 21 01:22:15 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.45  % Drodi V4.1.1
% 2.21/1.28  % Refutation found
% 2.21/1.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.21/1.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.21/1.32  % Elapsed time: 0.872300 seconds
% 2.21/1.32  % CPU time: 6.578319 seconds
% 2.21/1.32  % Total memory used: 128.096 MB
% 2.21/1.32  % Net memory used: 123.540 MB
%------------------------------------------------------------------------------