TSTP Solution File: NUM625+3 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 12:29:59 EDT 2023

% Result   : Theorem 0.32s 0.60s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   19 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   5   ~;   1   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,hypothesis,
    ( aElementOf0(xp,xQ)
    & ! [W0] :
        ( aElementOf0(W0,xQ)
       => sdtlseqdt0(xp,W0) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,hypothesis,
    xp = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f630,plain,
    ( aElementOf0(xp,xQ)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | sdtlseqdt0(xp,W0) )
    & xp = szmzizndt0(xQ) ),
    inference(pre_NNF_transformation,[status(esa)],[f103]) ).

fof(f633,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[status(esa)],[f630]) ).

fof(f664,plain,
    xx != szmzizndt0(xQ),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f684,plain,
    xp = xx,
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f1102,plain,
    xp != szmzizndt0(xQ),
    inference(forward_demodulation,[status(thm)],[f684,f664]) ).

fof(f1103,plain,
    xp != xp,
    inference(forward_demodulation,[status(thm)],[f633,f1102]) ).

fof(f1104,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:07:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  % Drodi V3.5.1
% 0.32/0.60  % Refutation found
% 0.32/0.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.32/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.32/0.60  % Elapsed time: 0.038732 seconds
% 0.32/0.60  % CPU time: 0.084391 seconds
% 0.32/0.60  % Memory used: 21.414 MB
%------------------------------------------------------------------------------