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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT003-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 01:25:12 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   50 (  17 unt;   0 def)
%            Number of atoms       :  173 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  252 ( 129   ~; 123   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :  104 ( 104   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] :
      ( reorganization_free(A,B,B)
      | ~ reorganization_free(A,B,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] :
      ( reorganization_free(A,C,C)
      | ~ reorganization_free(A,B,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] :
      ( inertia(A,sk1(B,A),B)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    ! [A,B,C,D,E,F,G,H] :
      ( greater(H,G)
      | ~ greater(F,E)
      | ~ survival_chance(C,H,D)
      | ~ survival_chance(A,G,B)
      | ~ inertia(C,F,D)
      | ~ inertia(A,E,B)
      | ~ reorganization_free(C,D,D)
      | ~ reorganization_free(A,B,B)
      | ~ organization(C,D)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,hypothesis,
    ! [A,B,C,D,E] :
      ( greater(E,D)
      | ~ greater(C,B)
      | ~ inertia(A,E,C)
      | ~ inertia(A,D,B)
      | ~ reorganization_free(A,B,C)
      | ~ organization(A,C)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    organization(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    organization(sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    reorganization_free(sk2,sk5,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    survival_chance(sk2,sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    survival_chance(sk2,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    greater(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ~ greater(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,plain,
    ! [A,B] :
      ( reorganization_free(A,B,B)
      | ! [C] : ~ reorganization_free(A,B,C) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( reorganization_free(X0,X1,X1)
      | ~ reorganization_free(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f15,plain,
    ! [A,C] :
      ( reorganization_free(A,C,C)
      | ! [B] : ~ reorganization_free(A,B,C) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( reorganization_free(X0,X2,X2)
      | ~ reorganization_free(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( inertia(X0,sk1(X1,X0),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f18,plain,
    ! [G,H] :
      ( greater(H,G)
      | ! [E,F] :
          ( ~ greater(F,E)
          | ! [C,D] :
              ( ~ survival_chance(C,H,D)
              | ! [A,B] :
                  ( ~ survival_chance(A,G,B)
                  | ~ inertia(C,F,D)
                  | ~ inertia(A,E,B)
                  | ~ reorganization_free(C,D,D)
                  | ~ reorganization_free(A,B,B)
                  | ~ organization(C,D)
                  | ~ organization(A,B) ) ) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( greater(X7,X6)
      | ~ greater(X5,X4)
      | ~ survival_chance(X2,X7,X3)
      | ~ survival_chance(X0,X6,X1)
      | ~ inertia(X2,X5,X3)
      | ~ inertia(X0,X4,X1)
      | ~ reorganization_free(X2,X3,X3)
      | ~ reorganization_free(X0,X1,X1)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f20,plain,
    ! [D,E] :
      ( greater(E,D)
      | ! [B,C] :
          ( ~ greater(C,B)
          | ! [A] :
              ( ~ inertia(A,E,C)
              | ~ inertia(A,D,B)
              | ~ reorganization_free(A,B,C)
              | ~ organization(A,C)
              | ~ organization(A,B) ) ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3,X4] :
      ( greater(X4,X3)
      | ~ greater(X2,X1)
      | ~ inertia(X0,X4,X2)
      | ~ inertia(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f22,plain,
    organization(sk2,sk5),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f23,plain,
    organization(sk2,sk6),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f24,plain,
    reorganization_free(sk2,sk5,sk6),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f25,plain,
    survival_chance(sk2,sk3,sk5),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f26,plain,
    survival_chance(sk2,sk4,sk6),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f27,plain,
    greater(sk6,sk5),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f28,plain,
    ~ greater(sk4,sk3),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f29,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( greater(X6,X5)
      | ~ greater(sk1(X1,X0),X4)
      | ~ survival_chance(X0,X6,X1)
      | ~ survival_chance(X2,X5,X3)
      | ~ inertia(X2,X4,X3)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reorganization_free(X2,X3,X3)
      | ~ organization(X0,X1)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1) ),
    inference(resolution,[status(thm)],[f17,f19]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( greater(X6,X5)
      | ~ greater(sk1(X1,X0),X4)
      | ~ survival_chance(X0,X6,X1)
      | ~ survival_chance(X2,X5,X3)
      | ~ inertia(X2,X4,X3)
      | ~ reorganization_free(X0,X1,X1)
      | ~ reorganization_free(X2,X3,X3)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( greater(X2,X1)
      | ~ inertia(X0,X2,sk6)
      | ~ inertia(X0,X1,sk5)
      | ~ reorganization_free(X0,sk5,sk6)
      | ~ organization(X0,sk6)
      | ~ organization(X0,sk5) ),
    inference(resolution,[status(thm)],[f21,f27]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ inertia(sk2,X1,sk6)
      | ~ inertia(sk2,X0,sk5)
      | ~ reorganization_free(sk2,sk5,sk6)
      | ~ organization(sk2,sk5) ),
    inference(resolution,[status(thm)],[f31,f23]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ inertia(sk2,X1,sk6)
      | ~ inertia(sk2,X0,sk5)
      | ~ reorganization_free(sk2,sk5,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[f32,f22]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ inertia(sk2,X1,sk6)
      | ~ inertia(sk2,X0,sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f33,f24]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ organization(sk2,sk6)
      | greater(sk1(sk6,sk2),X0)
      | ~ inertia(sk2,X0,sk5) ),
    inference(resolution,[status(thm)],[f34,f17]) ).

fof(f36,plain,
    ! [X0] :
      ( greater(sk1(sk6,sk2),X0)
      | ~ inertia(sk2,X0,sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f35,f23]) ).

fof(f37,plain,
    ( ~ organization(sk2,sk5)
    | greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
    inference(resolution,[status(thm)],[f36,f17]) ).

fof(f38,plain,
    greater(sk1(sk6,sk2),sk1(sk5,sk2)),
    inference(forward_subsumption_resolution,[status(thm)],[f37,f22]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( greater(X3,X2)
      | ~ survival_chance(sk2,X3,sk6)
      | ~ survival_chance(X0,X2,X1)
      | ~ inertia(X0,sk1(sk5,sk2),X1)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(X0,X1,X1)
      | ~ organization(X0,X1)
      | ~ organization(sk2,sk6) ),
    inference(resolution,[status(thm)],[f38,f30]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( greater(X3,X2)
      | ~ survival_chance(sk2,X3,sk6)
      | ~ survival_chance(X0,X2,X1)
      | ~ inertia(X0,sk1(sk5,sk2),X1)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(X0,X1,X1)
      | ~ organization(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f39,f23]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( greater(sk4,X2)
      | ~ survival_chance(X0,X2,X1)
      | ~ inertia(X0,sk1(sk5,sk2),X1)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(X0,X1,X1)
      | ~ organization(X0,X1) ),
    inference(resolution,[status(thm)],[f41,f26]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ organization(sk2,sk5)
      | greater(sk4,X0)
      | ~ survival_chance(sk2,X0,sk5)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(sk2,sk5,sk5)
      | ~ organization(sk2,sk5) ),
    inference(resolution,[status(thm)],[f42,f17]) ).

fof(f44,plain,
    ! [X0] :
      ( greater(sk4,X0)
      | ~ survival_chance(sk2,X0,sk5)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(sk2,sk5,sk5)
      | ~ organization(sk2,sk5) ),
    inference(duplicate_literals_removal,[status(thm)],[f43]) ).

fof(f45,plain,
    ! [X0] :
      ( greater(sk4,X0)
      | ~ survival_chance(sk2,X0,sk5)
      | ~ reorganization_free(sk2,sk6,sk6)
      | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f44,f22]) ).

fof(f46,plain,
    ( greater(sk4,sk3)
    | ~ reorganization_free(sk2,sk6,sk6)
    | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(resolution,[status(thm)],[f45,f25]) ).

fof(f47,plain,
    ( ~ reorganization_free(sk2,sk6,sk6)
    | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f46,f28]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ reorganization_free(sk2,X0,sk6)
      | ~ reorganization_free(sk2,sk5,sk5) ),
    inference(resolution,[status(thm)],[f47,f16]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ reorganization_free(sk2,sk5,X1)
      | ~ reorganization_free(sk2,X0,sk6) ),
    inference(resolution,[status(thm)],[f48,f14]) ).

fof(f54,plain,
    ! [X0] : ~ reorganization_free(sk2,X0,sk6),
    inference(resolution,[status(thm)],[f51,f24]) ).

fof(f58,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f24,f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : MGT003-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % Computer : n009.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.44  % CPULimit : 300
% 0.19/0.44  % WCLimit  : 300
% 0.19/0.44  % DateTime : Mon Sep 21 01:20:27 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.19/0.46  % Drodi V4.1.1
% 0.19/0.47  % Refutation found
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.56  % Elapsed time: 0.107591 seconds
% 0.24/0.56  % CPU time: 0.091112 seconds
% 0.24/0.56  % Total memory used: 1.790 MB
% 0.24/0.56  % Net memory used: 1.782 MB
%------------------------------------------------------------------------------