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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN255-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 03:15:35 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.39s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [G,H] :
      ( ~ n0(H,G)
      | p1(G,G,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f175,axiom,
    ! [A,B,C] :
      ( ~ p1(B,C,A)
      | n2(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ n2(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f406,plain,
    n0(b,a),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f513,plain,
    ! [G] :
      ( ! [H] : ~ n0(H,G)
      | p1(G,G,G) ),
    inference(miniscoping,[status(thm)],[f104]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f513]) ).

fof(f626,plain,
    ! [A] :
      ( ! [B,C] : ~ p1(B,C,A)
      | n2(A) ),
    inference(miniscoping,[status(thm)],[f175]) ).

fof(f627,plain,
    ! [X0,X1,X2] :
      ( ~ p1(X1,X2,X0)
      | n2(X0) ),
    inference(cnf_transformation,[status(thm)],[f626]) ).

fof(f924,plain,
    ~ n2(a),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f967,plain,
    ! [X0,X1] :
      ( n2(X1)
      | ~ n0(X0,X1) ),
    inference(resolution,[status(thm)],[f514,f627]) ).

fof(f968,plain,
    n2(a),
    inference(resolution,[status(thm)],[f967,f406]) ).

fof(f976,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f968,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN255-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n019.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
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 10:47:20 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.39  % Refutation found
% 0.10/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42  % Elapsed time: 0.048622 seconds
% 0.13/0.42  % CPU time: 0.092906 seconds
% 0.13/0.42  % Total memory used: 13.252 MB
% 0.13/0.42  % Net memory used: 13.228 MB
%------------------------------------------------------------------------------