%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM430+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 : Tue Apr 30 20:34:40 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   30 (  10 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   27 (   8   ~;   3   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   3   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,hypothesis,
    ( ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) )
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,conjecture,
    ? [W0] :
      ( aInteger0(W0)
      & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ~ ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f88,plain,
    ( aInteger0(sk0_1)
    & sdtasdt0(xq,sk0_1) = sdtpldt0(xa,smndt0(xb))
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aInteger0(sk0_2)
    & sdtasdt0(xq,sk0_2) = sdtpldt0(xb,smndt0(xc))
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    inference(skolemization,[status(esa)],[f23]) ).

fof(f93,plain,
    aInteger0(sk0_2),
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f94,plain,
    sdtasdt0(xq,sk0_2) = sdtpldt0(xb,smndt0(xc)),
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f99,plain,
    ! [W0] :
      ( ~ aInteger0(W0)
      | sdtasdt0(xq,W0) != sdtpldt0(xb,smndt0(xc)) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc)) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(xq,X0) != sdtasdt0(xq,sk0_2) ),
    inference(backward_demodulation,[status(thm)],[f94,f100]) ).

fof(f193,plain,
    ~ aInteger0(sk0_2),
    inference(equality_resolution,[status(esa)],[f182]) ).

fof(f194,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f193,f93]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM430+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.36  % DateTime : Mon Apr 29 20:37:04 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40  % Elapsed time: 0.021713 seconds
% 0.13/0.40  % CPU time: 0.034050 seconds
% 0.13/0.40  % Total memory used: 13.215 MB
% 0.13/0.40  % Net memory used: 13.158 MB
%------------------------------------------------------------------------------