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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 03:15:20 PM UTC 2026

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    ! [D] :
      ( ~ k0(D)
      | p1(D,D,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f517,plain,
    ! [X0] :
      ( ~ k0(X0)
      | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f106]) ).

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(b),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f947,plain,
    ! [X0] :
      ( n2(X0)
      | ~ k0(X0) ),
    inference(resolution,[status(thm)],[f517,f627]) ).

fof(f948,plain,
    n2(b),
    inference(resolution,[status(thm)],[f947,f401]) ).

fof(f950,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f948,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34  % Computer : n004.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8046.5625MB
% 0.09/0.34  % OS       : Linux 6.8.0-71-generic
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Mon Sep 21 10:44:19 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41  % Elapsed time: 0.065532 seconds
% 0.13/0.41  % CPU time: 0.169666 seconds
% 0.13/0.41  % Total memory used: 69.390 MB
% 0.13/0.41  % Net memory used: 69.224 MB
%------------------------------------------------------------------------------