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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT014-1 : 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 01:25:15 PM UTC 2026

% Result   : Unsatisfiable 0.22s 0.91s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   64 (  29 unt;   0 def)
%            Number of atoms       :  176 (  19 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  236 ( 124   ~; 112   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   88 (  88   !;   0   ?)

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

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

fof(f4,axiom,
    ! [A,B] :
      ( greater(B,A)
      | A = B
      | greater(A,B)
      | ~ time(B)
      | ~ time(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] :
      ( reorganization_free(A,C,B)
      | ~ reorganization_free(A,B,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B,C,D,E] :
      ( D = E
      | B != C
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ organization(A,C)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    ! [A,B,C,D,E] :
      ( ~ greater(D,E)
      | ~ greater(C,B)
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ reorganization_free(A,B,C)
      | ~ organization(A,C)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    ! [A,B,C,D,E] :
      ( ~ greater(D,E)
      | ~ greater(C,B)
      | ~ complexity(A,E,C)
      | ~ complexity(A,D,B)
      | ~ reorganization_free(A,B,C)
      | ~ organization(A,C)
      | ~ organization(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    organization(sk1,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    organization(sk1,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    reorganization_free(sk1,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    complexity(sk1,sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    complexity(sk1,sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    size(sk1,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    size(sk1,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    greater(sk5,sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    greater(sk2,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f20,plain,
    ! [B] :
      ( time(B)
      | ! [A] : ~ organization(A,B) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( time(X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | X0 = X1
      | greater(X0,X1)
      | ~ time(X1)
      | ~ time(X0) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( reorganization_free(X0,X2,X1)
      | ~ reorganization_free(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f24,plain,
    ! [D,E] :
      ( D = E
      | ! [B,C] :
          ( B != C
          | ! [A] :
              ( ~ size(A,E,C)
              | ~ size(A,D,B)
              | ~ organization(A,C)
              | ~ organization(A,B) ) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X3 = X4
      | X1 != X2
      | ~ size(X0,X4,X2)
      | ~ size(X0,X3,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f26,plain,
    ! [D,E] :
      ( ~ greater(D,E)
      | ! [B,C] :
          ( ~ greater(C,B)
          | ! [A] :
              ( ~ size(A,E,C)
              | ~ size(A,D,B)
              | ~ reorganization_free(A,B,C)
              | ~ organization(A,C)
              | ~ organization(A,B) ) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ greater(X3,X4)
      | ~ greater(X2,X1)
      | ~ size(X0,X4,X2)
      | ~ size(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f28,plain,
    ! [D,E] :
      ( ~ greater(D,E)
      | ! [B,C] :
          ( ~ greater(C,B)
          | ! [A] :
              ( ~ complexity(A,E,C)
              | ~ complexity(A,D,B)
              | ~ reorganization_free(A,B,C)
              | ~ organization(A,C)
              | ~ organization(A,B) ) ) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f29,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ greater(X3,X4)
      | ~ greater(X2,X1)
      | ~ complexity(X0,X4,X2)
      | ~ complexity(X0,X3,X1)
      | ~ reorganization_free(X0,X1,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f30,plain,
    organization(sk1,sk6),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f31,plain,
    organization(sk1,sk7),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f32,plain,
    reorganization_free(sk1,sk6,sk7),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f33,plain,
    complexity(sk1,sk2,sk6),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f34,plain,
    complexity(sk1,sk3,sk7),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f35,plain,
    size(sk1,sk4,sk6),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f36,plain,
    size(sk1,sk5,sk7),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f37,plain,
    greater(sk5,sk4),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f38,plain,
    greater(sk2,sk3),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f39,plain,
    ! [X0] : ~ greater(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f18]) ).

fof(f40,plain,
    ! [X0,X2,X3,X4] :
      ( X3 = X4
      | ~ size(X0,X4,X2)
      | ~ size(X0,X3,X2)
      | ~ organization(X0,X2)
      | ~ organization(X0,X2) ),
    inference(destructive_equality_resolution,[status(thm)],[f25]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ size(X0,X3,X1)
      | ~ size(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(duplicate_literals_removal,[status(thm)],[f40]) ).

fof(f43,plain,
    reorganization_free(sk1,sk7,sk6),
    inference(resolution,[status(thm)],[f23,f32]) ).

fof(f47,plain,
    time(sk7),
    inference(resolution,[status(thm)],[f21,f31]) ).

fof(f48,plain,
    time(sk6),
    inference(resolution,[status(thm)],[f21,f30]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ greater(sk2,X1)
      | ~ greater(X0,sk6)
      | ~ complexity(sk1,X1,X0)
      | ~ reorganization_free(sk1,sk6,X0)
      | ~ organization(sk1,X0)
      | ~ organization(sk1,sk6) ),
    inference(resolution,[status(thm)],[f33,f29]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ greater(sk2,X1)
      | ~ greater(X0,sk6)
      | ~ complexity(sk1,X1,X0)
      | ~ reorganization_free(sk1,sk6,X0)
      | ~ organization(sk1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f54,f30]) ).

fof(f67,plain,
    ! [X0] :
      ( X0 = sk4
      | ~ size(sk1,X0,sk6)
      | ~ organization(sk1,sk6) ),
    inference(resolution,[status(thm)],[f35,f41]) ).

fof(f68,plain,
    ! [X0] :
      ( X0 = sk4
      | ~ size(sk1,X0,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[f67,f30]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(sk6,sk7)
      | ~ size(sk1,X1,sk6)
      | ~ size(sk1,X0,sk7)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7) ),
    inference(resolution,[status(thm)],[f43,f27]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(sk6,sk7)
      | ~ size(sk1,X1,sk6)
      | ~ size(sk1,X0,sk7)
      | ~ organization(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[f72,f31]) ).

fof(f75,plain,
    ! [X0] :
      ( greater(X0,sk6)
      | sk6 = X0
      | greater(sk6,X0)
      | ~ time(X0) ),
    inference(resolution,[status(thm)],[f48,f22]) ).

fof(f81,plain,
    ( ~ greater(sk2,sk3)
    | ~ greater(sk7,sk6)
    | ~ reorganization_free(sk1,sk6,sk7)
    | ~ organization(sk1,sk7) ),
    inference(resolution,[status(thm)],[f58,f34]) ).

fof(f83,plain,
    ( ~ greater(sk2,sk3)
    | ~ greater(sk7,sk6)
    | ~ reorganization_free(sk1,sk6,sk7) ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f31]) ).

fof(f91,plain,
    ( greater(sk7,sk6)
    | sk6 = sk7
    | greater(sk6,sk7) ),
    inference(resolution,[status(thm)],[f75,f47]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(sk6,sk7)
      | ~ size(sk1,X1,sk6)
      | ~ size(sk1,X0,sk7) ),
    inference(forward_subsumption_resolution,[status(thm)],[f74,f30]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ greater(sk5,X0)
      | ~ greater(sk6,sk7)
      | ~ size(sk1,X0,sk6) ),
    inference(resolution,[status(thm)],[f94,f36]) ).

fof(f97,plain,
    ( ~ greater(sk2,sk3)
    | ~ greater(sk7,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[f83,f32]) ).

fof(f98,plain,
    ~ greater(sk7,sk6),
    inference(resolution,[status(thm)],[f97,f38]) ).

fof(f101,plain,
    ( sk6 = sk7
    | greater(sk6,sk7) ),
    inference(forward_subsumption_resolution,[status(thm)],[f91,f98]) ).

fof(f103,plain,
    ( ~ greater(sk5,sk4)
    | ~ greater(sk6,sk7) ),
    inference(resolution,[status(thm)],[f95,f35]) ).

fof(f104,plain,
    ~ greater(sk6,sk7),
    inference(forward_subsumption_resolution,[status(thm)],[f103,f37]) ).

fof(f105,plain,
    sk6 = sk7,
    inference(backward_subsumption_resolution,[status(thm)],[f101,f104]) ).

fof(f113,plain,
    size(sk1,sk5,sk6),
    inference(backward_demodulation,[status(thm)],[f105,f36]) ).

fof(f122,plain,
    sk5 = sk4,
    inference(resolution,[status(thm)],[f113,f68]) ).

fof(f142,plain,
    greater(sk4,sk4),
    inference(backward_demodulation,[status(thm)],[f122,f37]) ).

fof(f143,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f142,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : MGT014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.86  % Computer : n004.cluster.edu
% 0.18/0.86  % Model    : x86_64 x86_64
% 0.18/0.86  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.86  % Memory   : 8046.5625MB
% 0.18/0.86  % OS       : Linux 6.8.0-71-generic
% 0.18/0.87  % CPULimit : 300
% 0.18/0.87  % WCLimit  : 300
% 0.18/0.87  % DateTime : Mon Sep 21 01:21:20 UTC 2026
% 0.18/0.87  % CPUTime  : 
% 0.18/0.88  % Drodi V4.1.1
% 0.22/0.91  % Refutation found
% 0.22/0.91  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.91  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/1.00  % Elapsed time: 0.126400 seconds
% 0.22/1.00  % CPU time: 0.110716 seconds
% 0.22/1.00  % Total memory used: 5.174 MB
% 0.22/1.00  % Net memory used: 5.154 MB
%------------------------------------------------------------------------------