TSTP Solution File: NUM490+3 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM490+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:29:22 EDT 2023

% Result   : Theorem 0.18s 0.60s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,hypothesis,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,conjecture,
    ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
    | sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ~ ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm)
      | sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    inference(negated_conjecture,[status(cth)],[f47]) ).

fof(f204,plain,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f205,plain,
    ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm)
    & sdtasdt0(xr,xm) != sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
    inference(pre_NNF_transformation,[status(esa)],[f48]) ).

fof(f206,plain,
    sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f671,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f204,f206]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM490+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 09:59:07 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.18/0.60  % Refutation found
% 0.18/0.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.60  % Elapsed time: 0.044467 seconds
% 0.18/0.60  % CPU time: 0.024566 seconds
% 0.18/0.60  % Memory used: 4.169 MB
%------------------------------------------------------------------------------