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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : NUM617+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n031.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 : Fri Jul 25 12:28:40 PM UTC 2025

% Result   : Theorem 0.14s 0.38s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   18 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   2   |;   4   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,plain,
    aElementOf0(xx,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m___negated,plain,
    ~ aElementOf0(xx,szNzAzT0),
    inference(negate_conjecture,[status(cth)],[m__]) ).

cnf(426,plain,
    ~ aElementOf0(xx,szNzAzT0),
    inference(cnf,[status(esa)],[m___negated]) ).

cnf(l0,plain,
    ~ aElementOf0(xx,szNzAzT0),
    inference(instantiation,[status(thm)],[426]) ).

fof(m__5106,plain,
    ( ! [W0] :
        ( aElementOf0(W0,xQ)
       => aElementOf0(W0,szNzAzT0) )
    & aSubsetOf0(xQ,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).

cnf(390,plain,
    ( ~ aElementOf0(X0,xQ)
    | aElementOf0(X0,szNzAzT0) ),
    inference(cnf,[status(esa)],[m__5106]) ).

cnf(l1,plain,
    ( ~ aElementOf0(xx,xQ)
    | aElementOf0(xx,szNzAzT0) ),
    inference(instantiation,[status(thm)],[390]) ).

fof(m__5348,plain,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).

cnf(423,plain,
    aElementOf0(xx,xQ),
    inference(cnf,[status(esa)],[m__5348]) ).

cnf(l4,plain,
    aElementOf0(xx,xQ),
    inference(instantiation,[status(thm)],[423]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM617+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Jul 21 13:13:49 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % launching worker at depth: 1
% 0.14/0.36  % launching worker at depth: 3
% 0.14/0.36  % launching worker at depth: 7
% 0.14/0.36  % launching worker at depth: 5
% 0.14/0.36  % launching worker at depth: 4
% 0.14/0.36  % launching worker at depth: 6
% 0.14/0.36  % launching worker at depth: 2
% 0.14/0.36  % launching worker at depth: 8
% 0.14/0.37  % launching worker at depth: 9
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------