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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV243-1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:46:59 PM UTC 2026

% Result   : Unsatisfiable 0.15s 5.55s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2639,axiom,
    ! [V_y,T_a] : c_union(V_y,c_emptyset,T_a) = V_y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2824,axiom,
    ! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2826,negated_conjecture,
    c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6047,plain,
    ! [X0,X1] : c_union(X0,c_emptyset,X1) = X0,
    inference(cnf_transformation,[status(thm)],[f2639]) ).

fof(f6278,plain,
    ! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f2824]) ).

fof(f6280,plain,
    c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(cnf_transformation,[status(thm)],[f2826]) ).

fof(f6646,plain,
    ! [X0] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg),
    inference(paramodulation,[status(thm)],[f6047,f6278]) ).

fof(f6657,plain,
    ! [X0] : c_Message_Oanalz(c_Message_Osynth(X0)) = c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg),
    inference(forward_demodulation,[status(thm)],[f6047,f6646]) ).

fof(f6661,plain,
    c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H)),
    inference(backward_demodulation,[status(thm)],[f6657,f6280]) ).

fof(f6673,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f6661]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV243-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37  % Computer : n008.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
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Mon Sep 21 08:36:45 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.15/5.50  % Drodi V4.1.1
% 0.15/5.55  % Refutation found
% 0.15/5.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.59  % Elapsed time: 0.204123 seconds
% 0.15/5.59  % CPU time: 0.545837 seconds
% 0.15/5.59  % Total memory used: 181.756 MB
% 0.15/5.59  % Net memory used: 181.033 MB
%------------------------------------------------------------------------------