%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : RNG074+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 20:35:55 EDT 2022

% Result   : Theorem 0.18s 0.35s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  15 unt;   0 def)
%            Number of atoms       :   25 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2590,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ).

fof(m__2610,hypothesis,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ).

fof(m__2679,hypothesis,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ).

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,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(canonicalize,[],[m__2610]) ).

fof(normalize_0_1,plain,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
    inference(canonicalize,[],[m__2679]) ).

fof(normalize_0_2,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(canonicalize,[],[m__2590]) ).

cnf(refute_0_0,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_2,plain,
    ( sdtpldt0(xR,xS) != sdtpldt0(xP,xP)
    | ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
    introduced(tautology,[equality,[$cnf( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),[0],$fot(sdtpldt0(xP,xP))]]) ).

cnf(refute_0_3,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
    inference(resolve,[$cnf( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_6,plain,
    ( sdtpldt0(xR,xS) != sdtpldt0(xP,xP)
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    introduced(tautology,[equality,[$cnf( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),[1],$fot(sdtpldt0(xP,xP))]]) ).

cnf(refute_0_7,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    inference(resolve,[$cnf( $equal(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) )],[refute_0_1,refute_0_6]) ).

cnf(refute_0_8,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
    inference(resolve,[$cnf( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) )],[refute_0_7,refute_0_5]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) )],[refute_0_4,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : RNG074+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon May 30 11:42:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35  
% 0.18/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36  
%------------------------------------------------------------------------------