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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : RNG080+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:04:53 PM UTC 2026

% Result   : Theorem 57.24s 7.72s
% Output   : CNFRefutation 41.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   74 (  30 unt;   0 def)
%            Number of atoms       :  178 ( 109 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  179 (  75   ~;  77   |;  23   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    ! [W0,W1] :
      ( ( aVector0(W1)
        & aVector0(W0) )
     => ( ( aDimensionOf0(W1) != sz00
          & aDimensionOf0(W0) = aDimensionOf0(W1) )
       => sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,hypothesis,
    ( aVector0(xt)
    & aVector0(xs) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,hypothesis,
    ( xp = sziznziztdt0(xs)
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0) )
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & aVector0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,hypothesis,
    ( xq = sziznziztdt0(xt)
    & ! [W0] :
        ( aNaturalNumber0(W0)
       => sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & aVector0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,hypothesis,
    ( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
    & aScalar0(xA) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,hypothesis,
    ( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
    & aScalar0(xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,hypothesis,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,hypothesis,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,hypothesis,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,hypothesis,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,hypothesis,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f51,hypothesis,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f58,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f59,conjecture,
    sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(negated_conjecture,[status(cth)],[f59]) ).

fof(f155,plain,
    ! [W0,W1] :
      ( sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1))))
      | aDimensionOf0(W1) = sz00
      | aDimensionOf0(W0) != aDimensionOf0(W1)
      | ~ aVector0(W1)
      | ~ aVector0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f36]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X1) != aDimensionOf0(X0)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(X1,X0)
      | sz00 = aDimensionOf0(X0)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f159,plain,
    aVector0(xs),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f160,plain,
    aVector0(xt),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f163,plain,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f164,plain,
    sz00 != aDimensionOf0(xs),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f165,plain,
    ( xp = sziznziztdt0(xs)
    & ! [W0] :
        ( sdtlbdtrb0(xp,W0) = sdtlbdtrb0(xs,W0)
        | ~ aNaturalNumber0(W0) )
    & szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
    & aVector0(xp) ),
    inference(pre_NNF_transformation,[status(thm)],[f42]) ).

fof(f169,plain,
    sziznziztdt0(xs) = xp,
    inference(cnf_transformation,[status(thm)],[f165]) ).

fof(f170,plain,
    ( xq = sziznziztdt0(xt)
    & ! [W0] :
        ( sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0)
        | ~ aNaturalNumber0(W0) )
    & szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
    & aVector0(xq) ),
    inference(pre_NNF_transformation,[status(thm)],[f43]) ).

fof(f174,plain,
    sziznziztdt0(xt) = xq,
    inference(cnf_transformation,[status(thm)],[f170]) ).

fof(f176,plain,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f178,plain,
    sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f180,plain,
    sdtasasdt0(xp,xp) = xC,
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f182,plain,
    xD = sdtasasdt0(xq,xq),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f184,plain,
    xE = sdtasasdt0(xp,xq),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f186,plain,
    xF = sdtasdt0(xA,xA),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f188,plain,
    sdtasdt0(xB,xB) = xG,
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f190,plain,
    xH = sdtasdt0(xA,xB),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f201,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f202,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f319,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(X0,xs)
      | sz00 = aDimensionOf0(xs)
      | ~ aVector0(X0)
      | ~ aVector0(xs) ),
    inference(paramodulation,[status(thm)],[f169,f156]) ).

fof(f322,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xt)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(X0,xt)
      | sz00 = aDimensionOf0(xt)
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(paramodulation,[status(thm)],[f163,f156]) ).

fof(f323,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xt)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(X0,xt)
      | sz00 = aDimensionOf0(xs)
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f163,f322]) ).

fof(f324,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xt)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(X0,xt)
      | sz00 = aDimensionOf0(xs)
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f174,f323]) ).

fof(f325,plain,
    ! [X0] :
      ( aDimensionOf0(X0) != aDimensionOf0(xs)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs)))) = sdtasasdt0(X0,xt)
      | sz00 = aDimensionOf0(xs)
      | ~ aVector0(X0)
      | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f163,f324]) ).

fof(f326,plain,
    ! [X0] :
      ( aDimensionOf0(xs) != aDimensionOf0(X0)
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xs))))
      | ~ aVector0(X0)
      | sz00 = aDimensionOf0(xs) ),
    inference(forward_subsumption_resolution,[status(thm)],[f325,f160]) ).

fof(f337,plain,
    ! [X0] :
      ( aDimensionOf0(xs) = sz00
      | ~ aVector0(X0)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(X0,xs)
      | aDimensionOf0(X0) != aDimensionOf0(xs) ),
    inference(forward_subsumption_resolution,[status(thm)],[f319,f159]) ).

fof(f652,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
    inference(forward_demodulation,[status(thm)],[f163,f178]) ).

fof(f1547,plain,
    ! [X0] :
      ( aDimensionOf0(xs) != aDimensionOf0(X0)
      | sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB))
      | ~ aVector0(X0)
      | sz00 = aDimensionOf0(xs) ),
    inference(forward_demodulation,[status(thm)],[f652,f326]) ).

fof(f1548,plain,
    ! [X0] :
      ( sdtasasdt0(X0,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB))
      | aDimensionOf0(xs) != aDimensionOf0(X0)
      | ~ aVector0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1547,f164]) ).

fof(f1549,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(paramodulation,[status(thm)],[f169,f1548]) ).

fof(f1552,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xt)
    | ~ aVector0(xt) ),
    inference(paramodulation,[status(thm)],[f163,f1548]) ).

fof(f1553,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(xE,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f184,f1549]) ).

fof(f1554,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(xE,sdtasdt0(xA,xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f176,f1553]) ).

fof(f1555,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(xE,xH)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f190,f1554]) ).

fof(f1556,plain,
    ( sdtasasdt0(xs,xt) = sdtpldt0(xE,xH)
    | ~ aVector0(xs) ),
    inference(trivial_equality_resolution,[status(thm)],[f1555]) ).

fof(f1557,plain,
    sdtpldt0(xE,xH) = sdtasasdt0(xs,xt),
    inference(forward_subsumption_resolution,[status(thm)],[f1556,f159]) ).

fof(f1558,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f163,f1552]) ).

fof(f1559,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f174,f1558]) ).

fof(f1560,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(xD,sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f182,f1559]) ).

fof(f1561,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(xD,sdtasdt0(xB,xB))
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f652,f1560]) ).

fof(f1562,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(xD,xG)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xt) ),
    inference(forward_demodulation,[status(thm)],[f188,f1561]) ).

fof(f1563,plain,
    ( sdtasasdt0(xt,xt) = sdtpldt0(xD,xG)
    | ~ aVector0(xt) ),
    inference(trivial_equality_resolution,[status(thm)],[f1562]) ).

fof(f1564,plain,
    sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
    inference(forward_subsumption_resolution,[status(thm)],[f1563,f160]) ).

fof(f1597,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(backward_demodulation,[status(thm)],[f1557,f202]) ).

fof(f1623,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference(forward_demodulation,[status(thm)],[f1557,f1597]) ).

fof(f1698,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))),
    inference(backward_demodulation,[status(thm)],[f1564,f1623]) ).

fof(f1989,plain,
    ! [X0] :
      ( aDimensionOf0(xs) = sz00
      | ~ aVector0(X0)
      | sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA)) = sdtasasdt0(X0,xs)
      | aDimensionOf0(X0) != aDimensionOf0(xs) ),
    inference(forward_demodulation,[status(thm)],[f176,f337]) ).

fof(f1990,plain,
    ! [X0] :
      ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA)) = sdtasasdt0(X0,xs)
      | aDimensionOf0(X0) != aDimensionOf0(xs)
      | ~ aVector0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1989,f164]) ).

fof(f1991,plain,
    ( sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xA)) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(paramodulation,[status(thm)],[f169,f1990]) ).

fof(f2000,plain,
    ( sdtpldt0(xC,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xA)) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f180,f1991]) ).

fof(f2001,plain,
    ( sdtpldt0(xC,sdtasdt0(xA,xA)) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f176,f2000]) ).

fof(f2002,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | aDimensionOf0(xs) != aDimensionOf0(xs)
    | ~ aVector0(xs) ),
    inference(forward_demodulation,[status(thm)],[f186,f2001]) ).

fof(f2003,plain,
    ( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
    | ~ aVector0(xs) ),
    inference(trivial_equality_resolution,[status(thm)],[f2002]) ).

fof(f2004,plain,
    sdtpldt0(xC,xF) = sdtasasdt0(xs,xs),
    inference(forward_subsumption_resolution,[status(thm)],[f2003,f159]) ).

fof(f2042,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(backward_demodulation,[status(thm)],[f2004,f1698]) ).

fof(f2075,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2042,f201]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG080+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n001.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 04:24:00 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 57.24/7.72  % Refutation found
% 57.24/7.72  % SZS status Theorem for theBenchmark: Theorem is valid
% 57.24/7.72  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 41.09/7.80  % Elapsed time: 7.425897 seconds
% 41.09/7.80  % CPU time: 58.342611 seconds
% 41.09/7.80  % Total memory used: 373.411 MB
% 41.09/7.80  % Net memory used: 352.587 MB
%------------------------------------------------------------------------------