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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 03:15:26 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.44s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X] : q0(X,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X,Y] : m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f148,axiom,
    ! [B,C,D] :
      ( ~ m0(C,D,B)
      | q1(B,B,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f162,axiom,
    ! [D,E] :
      ( ~ q1(d,E,d)
      | ~ s0(d)
      | ~ q0(D,E)
      | r1(D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f226,axiom,
    ! [G] :
      ( ~ l0(G)
      | ~ r1(G)
      | r2(G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ r2(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f370,plain,
    s0(d),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f386,plain,
    ! [X0] : q0(X0,d),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f388,plain,
    ! [X0,X1] : m0(X0,d,X1),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f393,plain,
    l0(c),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f583,plain,
    ! [B] :
      ( ! [C,D] : ~ m0(C,D,B)
      | q1(B,B,B) ),
    inference(miniscoping,[status(thm)],[f148]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ~ m0(X1,X2,X0)
      | q1(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f583]) ).

fof(f605,plain,
    ! [E] :
      ( ~ q1(d,E,d)
      | ~ s0(d)
      | ! [D] :
          ( ~ q0(D,E)
          | r1(D) ) ),
    inference(miniscoping,[status(thm)],[f162]) ).

fof(f606,plain,
    ! [X0,X1] :
      ( ~ q1(d,X1,d)
      | ~ s0(d)
      | ~ q0(X0,X1)
      | r1(X0) ),
    inference(cnf_transformation,[status(thm)],[f605]) ).

fof(f702,plain,
    ! [X0] :
      ( ~ l0(X0)
      | ~ r1(X0)
      | r2(X0) ),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f924,plain,
    ~ r2(c),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f1088,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[status(thm)],[f584,f388]) ).

fof(f1779,plain,
    ! [X0,X1] :
      ( ~ q1(d,X1,d)
      | ~ q0(X0,X1)
      | r1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).

fof(f1786,plain,
    ! [X0] :
      ( ~ q0(X0,d)
      | r1(X0) ),
    inference(resolution,[status(thm)],[f1779,f1088]) ).

fof(f1792,plain,
    ! [X0] : r1(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f1786,f386]) ).

fof(f1794,plain,
    ! [X0] :
      ( ~ l0(X0)
      | r2(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f702,f1792]) ).

fof(f1796,plain,
    r2(c),
    inference(resolution,[status(thm)],[f1794,f393]) ).

fof(f1798,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1796,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n026.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 10:48:07 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.39  % Drodi V4.1.1
% 0.10/0.44  % Refutation found
% 0.10/0.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47  % Elapsed time: 0.091199 seconds
% 0.10/0.47  % CPU time: 0.274467 seconds
% 0.10/0.47  % Total memory used: 72.050 MB
% 0.10/0.47  % Net memory used: 71.769 MB
%------------------------------------------------------------------------------