%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM625+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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  : 600s
% DateTime : Mon Jul 18 12:28:20 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  16 unt;   0 def)
%            Number of atoms       :   53 (  37 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   43 (  19   ~;  13   |;  10   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5147,hypothesis,
    ( aElementOf0(xp,xQ)
    & ! [W0] :
        ( aElementOf0(W0,xQ)
       => sdtlseqdt0(xp,W0) )
    & xp = szmzizndt0(xQ) ) ).

fof(m__5348,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ) ).

fof(m__5496,hypothesis,
    xp = xx ).

fof(m__,conjecture,
    $false ).

fof(subgoal_0,plain,
    $false,
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ $false,
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( xx != szmzizndt0(xQ)
    & aElement0(xx)
    & aElementOf0(xx,xP)
    & aElementOf0(xx,xQ) ),
    inference(canonicalize,[],[m__5348]) ).

fof(normalize_0_1,plain,
    xx != szmzizndt0(xQ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    xp = xx,
    inference(canonicalize,[],[m__5496]) ).

fof(normalize_0_3,plain,
    ( xp = szmzizndt0(xQ)
    & aElementOf0(xp,xQ)
    & ! [W0] :
        ( ~ aElementOf0(W0,xQ)
        | sdtlseqdt0(xp,W0) ) ),
    inference(canonicalize,[],[m__5147]) ).

fof(normalize_0_4,plain,
    xp = szmzizndt0(xQ),
    inference(conjunct,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    xx != szmzizndt0(xQ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    xp = xx,
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( xp != xx
    | xx = xp ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(xp)),bind(Y,$fot(xx))]]) ).

cnf(refute_0_6,plain,
    xx = xp,
    inference(resolve,[$cnf( $equal(xp,xx) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( xp != szmzizndt0(xQ)
    | xx != xp
    | xx = szmzizndt0(xQ) ),
    introduced(tautology,[equality,[$cnf( $equal(xx,xp) ),[1],$fot(szmzizndt0(xQ))]]) ).

cnf(refute_0_8,plain,
    ( xp != szmzizndt0(xQ)
    | xx = szmzizndt0(xQ) ),
    inference(resolve,[$cnf( $equal(xx,xp) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    xp = szmzizndt0(xQ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_10,plain,
    ( xp != szmzizndt0(xQ)
    | szmzizndt0(xQ) = xp ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(xp)),bind(Y,$fot(szmzizndt0(xQ)))]]) ).

cnf(refute_0_11,plain,
    szmzizndt0(xQ) = xp,
    inference(resolve,[$cnf( $equal(xp,szmzizndt0(xQ)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( szmzizndt0(xQ) != xp
    | xp != xp
    | xp = szmzizndt0(xQ) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(xp,szmzizndt0(xQ)) ),[1],$fot(xp)]]) ).

cnf(refute_0_13,plain,
    ( xp != xp
    | xp = szmzizndt0(xQ) ),
    inference(resolve,[$cnf( $equal(szmzizndt0(xQ),xp) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( xp != xp
    | xx = szmzizndt0(xQ) ),
    inference(resolve,[$cnf( $equal(xp,szmzizndt0(xQ)) )],[refute_0_13,refute_0_8]) ).

cnf(refute_0_15,plain,
    xp != xp,
    inference(resolve,[$cnf( $equal(xx,szmzizndt0(xQ)) )],[refute_0_14,refute_0_0]) ).

cnf(refute_0_16,plain,
    xp = xp,
    introduced(tautology,[refl,[$fot(xp)]]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( $equal(xp,xp) )],[refute_0_16,refute_0_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM625+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n015.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  : 600
% 0.13/0.34  % DateTime : Wed Jul  6 23:01:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44  
%------------------------------------------------------------------------------