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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : 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 03:15:39 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.41s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  25   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

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

fof(f14,axiom,
    ! [X] : p0(b,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f137,axiom,
    ! [E,F,G] :
      ( ~ q1(F,F,G)
      | ~ l0(E)
      | ~ k0(G)
      | q1(E,F,F) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f143,axiom,
    ! [C,D] :
      ( ~ p0(D,d)
      | ~ s0(C)
      | q1(C,C,D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ q1(a,d,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f383,plain,
    ! [X0] : p0(b,X0),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f389,plain,
    l0(a),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f401,plain,
    k0(b),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f565,plain,
    ! [F,G] :
      ( ~ q1(F,F,G)
      | ! [E] :
          ( ~ l0(E)
          | ~ k0(G)
          | q1(E,F,F) ) ),
    inference(miniscoping,[status(thm)],[f137]) ).

fof(f566,plain,
    ! [X0,X1,X2] :
      ( ~ q1(X1,X1,X2)
      | ~ l0(X0)
      | ~ k0(X2)
      | q1(X0,X1,X1) ),
    inference(cnf_transformation,[status(thm)],[f565]) ).

fof(f575,plain,
    ! [D] :
      ( ~ p0(D,d)
      | ! [C] :
          ( ~ s0(C)
          | q1(C,C,D) ) ),
    inference(miniscoping,[status(thm)],[f143]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ~ p0(X1,d)
      | ~ s0(X0)
      | q1(X0,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f575]) ).

fof(f924,plain,
    ~ q1(a,d,d),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f986,plain,
    ! [X0] :
      ( ~ q1(d,d,X0)
      | ~ l0(a)
      | ~ k0(X0) ),
    inference(resolution,[status(thm)],[f566,f924]) ).

fof(f987,plain,
    ! [X0] :
      ( ~ q1(d,d,X0)
      | ~ k0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f986,f389]) ).

fof(f988,plain,
    ~ q1(d,d,b),
    inference(resolution,[status(thm)],[f987,f401]) ).

fof(f990,plain,
    ! [X0] :
      ( ~ s0(X0)
      | q1(X0,X0,b) ),
    inference(resolution,[status(thm)],[f576,f383]) ).

fof(f993,plain,
    ~ s0(d),
    inference(resolution,[status(thm)],[f990,f988]) ).

fof(f994,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f993,f370]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 10:48:55 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.08/0.41  % Refutation found
% 0.08/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.45  % Elapsed time: 0.075559 seconds
% 0.08/0.45  % CPU time: 0.214108 seconds
% 0.08/0.45  % Total memory used: 70.450 MB
% 0.08/0.45  % Net memory used: 70.273 MB
%------------------------------------------------------------------------------