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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 03:15:04 PM UTC 2026

% Result   : Unsatisfiable 0.15s 5.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  20   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( big_q(Y)
      | ~ big_p(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( big_s(c)
    | ~ big_q(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Y,X] :
      ( big_g(X)
      | ~ big_f(X)
      | ~ big_s(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    big_p(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    big_f(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ big_g(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ( ! [Y] : big_q(Y)
    | ! [X] : ~ big_p(X) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( big_q(X1)
      | ~ big_p(X0) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f13,plain,
    ( big_s(c)
    | ~ big_q(b) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f16,plain,
    ! [X] :
      ( big_g(X)
      | ~ big_f(X)
      | ! [Y] : ~ big_s(Y) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( big_g(X1)
      | ~ big_f(X1)
      | ~ big_s(X0) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f18,plain,
    big_p(d),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f19,plain,
    big_f(d),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f20,plain,
    ~ big_g(d),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f21,plain,
    ! [X0] :
      ( big_g(X0)
      | ~ big_f(X0)
      | ~ big_q(b) ),
    inference(resolution,[status(thm)],[f13,f17]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ big_p(X1)
      | big_g(X0)
      | ~ big_f(X0) ),
    inference(resolution,[status(thm)],[f21,f11]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | ~ big_f(d) ),
    inference(resolution,[status(thm)],[f22,f20]) ).

fof(f24,plain,
    ! [X0] : ~ big_p(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f23,f19]) ).

fof(f26,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f18,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37  % Computer : n015.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Mon Sep 21 10:44:26 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.39  % Drodi V4.1.1
% 0.15/5.41  % Refutation found
% 0.15/5.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.43  % Elapsed time: 0.046993 seconds
% 0.15/5.43  % CPU time: 0.141928 seconds
% 0.15/5.43  % Total memory used: 55.312 MB
% 0.15/5.43  % Net memory used: 54.798 MB
%------------------------------------------------------------------------------