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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 01:02:11 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.53s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  108 ( 108 unt;   0 def)
%            Number of atoms       :  108 ( 107 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  200 ( 200   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    meet(b,a) != meet(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f8,plain,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f12,plain,
    meet(b,a) != meet(a,b),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f16,plain,
    ! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f20,plain,
    ! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
    inference(paramodulation,[status(thm)],[f8,f7]) ).

fof(f23,plain,
    ! [X0,X1,X2] : join(meet(join(meet(X0,X1),meet(X2,X0)),X0),meet(X0,X0)) = X0,
    inference(paramodulation,[status(thm)],[f11,f9]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] : meet(meet(X0,join(X1,join(meet(X0,X2),meet(X3,X0)))),join(meet(X0,X2),meet(X3,X0))) = join(meet(X0,X2),meet(X3,X0)),
    inference(paramodulation,[status(thm)],[f11,f10]) ).

fof(f34,plain,
    ! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
    inference(paramodulation,[status(thm)],[f11,f10]) ).

fof(f40,plain,
    ! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
    inference(paramodulation,[status(thm)],[f10,f11]) ).

fof(f67,plain,
    ! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
    inference(paramodulation,[status(thm)],[f40,f9]) ).

fof(f68,plain,
    ! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(join(meet(X0,X1),X0),X0)) = join(meet(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f40,f7]) ).

fof(f70,plain,
    ! [X0,X1] : meet(meet(X0,join(meet(X0,X1),X0)),join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f40,f34]) ).

fof(f73,plain,
    ! [X0,X1] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
    inference(paramodulation,[status(thm)],[f9,f34]) ).

fof(f77,plain,
    ! [X0,X1] : join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f34,f40]) ).

fof(f98,plain,
    ! [X0,X1,X2] : meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
    inference(paramodulation,[status(thm)],[f10,f73]) ).

fof(f105,plain,
    ! [X0,X1] : join(join(meet(X0,X1),meet(X1,meet(X0,X1))),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f73,f40]) ).

fof(f112,plain,
    ! [X0,X1,X2] : meet(meet(X0,X0),X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
    inference(forward_demodulation,[status(thm)],[f10,f98]) ).

fof(f117,plain,
    ! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
    inference(backward_demodulation,[status(thm)],[f118,f20]) ).

fof(f118,plain,
    ! [X0] : meet(meet(X0,X0),X0) = X0,
    inference(forward_demodulation,[status(thm)],[f10,f112]) ).

fof(f141,plain,
    ! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
    inference(paramodulation,[status(thm)],[f118,f9]) ).

fof(f152,plain,
    ! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
    inference(paramodulation,[status(thm)],[f141,f10]) ).

fof(f153,plain,
    ! [X0] : join(meet(X0,meet(X0,join(meet(X0,X0),X0))),meet(meet(X0,join(meet(X0,X0),X0)),X0)) = meet(X0,join(meet(X0,X0),X0)),
    inference(paramodulation,[status(thm)],[f141,f9]) ).

fof(f154,plain,
    ! [X0] : join(meet(X0,meet(X0,join(meet(X0,X0),X0))),meet(X0,X0)) = X0,
    inference(paramodulation,[status(thm)],[f141,f7]) ).

fof(f156,plain,
    ! [X0] : join(meet(X0,meet(X0,join(meet(X0,X0),X0))),X0) = meet(X0,join(meet(X0,X0),X0)),
    inference(forward_demodulation,[status(thm)],[f152,f153]) ).

fof(f159,plain,
    ! [X0] : meet(meet(meet(X0,X0),X0),meet(X0,X0)) = meet(X0,X0),
    inference(paramodulation,[status(thm)],[f67,f152]) ).

fof(f162,plain,
    ! [X0,X1] : meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f9,f152]) ).

fof(f174,plain,
    ! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
    inference(paramodulation,[status(thm)],[f152,f9]) ).

fof(f177,plain,
    ! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))) = meet(X0,join(X1,X0)),
    inference(paramodulation,[status(thm)],[f152,f7]) ).

fof(f179,plain,
    ! [X0] : meet(X0,meet(X0,X0)) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f118,f159]) ).

fof(f180,plain,
    ! [X0] : join(meet(X0,join(meet(X0,X0),X0)),meet(X0,X0)) = X0,
    inference(backward_demodulation,[status(thm)],[f183,f154]) ).

fof(f181,plain,
    ! [X0] : join(meet(X0,join(meet(X0,X0),X0)),X0) = meet(X0,join(meet(X0,X0),X0)),
    inference(backward_demodulation,[status(thm)],[f183,f156]) ).

fof(f183,plain,
    ! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f152,f162]) ).

fof(f196,plain,
    ! [X0] : meet(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
    inference(paramodulation,[status(thm)],[f179,f73]) ).

fof(f230,plain,
    ! [X0] : join(meet(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
    inference(paramodulation,[status(thm)],[f196,f16]) ).

fof(f233,plain,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,join(meet(X0,X0),meet(X0,X0)))) = meet(X0,X0),
    inference(paramodulation,[status(thm)],[f196,f8]) ).

fof(f241,plain,
    ! [X0] : join(meet(meet(X0,X0),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f196,f230]) ).

fof(f242,plain,
    ! [X0] : join(meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f183,f241]) ).

fof(f243,plain,
    ! [X0] : join(meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))),meet(X0,X0)) = meet(meet(X0,X0),meet(X0,X0)),
    inference(forward_demodulation,[status(thm)],[f196,f242]) ).

fof(f244,plain,
    ! [X0] : join(meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))),meet(X0,X0)) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f196,f243]) ).

fof(f489,plain,
    ! [X0] : join(meet(meet(X0,X0),join(meet(meet(X0,X0),meet(X0,X0)),meet(X0,X0))),meet(X0,X0)) = meet(X0,X0),
    inference(paramodulation,[status(thm)],[f196,f180]) ).

fof(f490,plain,
    ! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
    inference(paramodulation,[status(thm)],[f180,f23]) ).

fof(f493,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(paramodulation,[status(thm)],[f180,f11]) ).

fof(f503,plain,
    ! [X0] : meet(meet(X0,X0),join(meet(meet(X0,X0),meet(X0,X0)),meet(X0,X0))) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f181,f489]) ).

fof(f504,plain,
    ! [X0] : join(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
    inference(backward_demodulation,[status(thm)],[f505,f244]) ).

fof(f505,plain,
    ! [X0] : meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f196,f503]) ).

fof(f507,plain,
    ! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = meet(X0,X0),
    inference(backward_demodulation,[status(thm)],[f490,f233]) ).

fof(f522,plain,
    ! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = join(meet(X0,X1),X0),
    inference(backward_demodulation,[status(thm)],[f493,f68]) ).

fof(f541,plain,
    ! [X0,X1] : join(meet(meet(X0,X0),meet(X1,X0)),X0) = meet(X0,X0),
    inference(backward_demodulation,[status(thm)],[f493,f117]) ).

fof(f613,plain,
    ! [X0] : X0 = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f490,f504]) ).

fof(f615,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f613,f507]) ).

fof(f616,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
    inference(backward_demodulation,[status(thm)],[f618,f105]) ).

fof(f617,plain,
    ! [X0,X1] : join(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
    inference(backward_demodulation,[status(thm)],[f618,f77]) ).

fof(f618,plain,
    ! [X0,X1] : join(X0,meet(X1,X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f613,f615]) ).

fof(f671,plain,
    ! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = meet(X0,X0),
    inference(forward_demodulation,[status(thm)],[f613,f541]) ).

fof(f672,plain,
    ! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
    inference(forward_demodulation,[status(thm)],[f613,f671]) ).

fof(f772,plain,
    ! [X0,X1] : join(meet(X0,X1),X1) = X1,
    inference(backward_demodulation,[status(thm)],[f777,f672]) ).

fof(f777,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f618,f616]) ).

fof(f783,plain,
    ! [X0,X1] : X0 = meet(join(X0,X1),X0),
    inference(forward_demodulation,[status(thm)],[f618,f617]) ).

fof(f843,plain,
    ! [X0,X1] : join(meet(meet(X0,meet(X1,X0)),meet(X0,X0)),meet(meet(X0,meet(X1,X0)),X0)) = meet(X0,meet(X1,X0)),
    inference(paramodulation,[status(thm)],[f618,f16]) ).

fof(f848,plain,
    ! [X0,X1] : join(meet(meet(X0,X1),meet(X1,X1)),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f777,f843]) ).

fof(f849,plain,
    ! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f613,f848]) ).

fof(f850,plain,
    ! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)) = meet(X1,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f777,f849]) ).

fof(f851,plain,
    ! [X0,X1] : meet(meet(X0,X1),X1) = meet(X1,meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f493,f850]) ).

fof(f854,plain,
    ! [X0,X1] : meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
    inference(backward_demodulation,[status(thm)],[f858,f70]) ).

fof(f858,plain,
    ! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
    inference(forward_demodulation,[status(thm)],[f777,f851]) ).

fof(f864,plain,
    ! [X0,X1] : join(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
    inference(backward_demodulation,[status(thm)],[f854,f174]) ).

fof(f896,plain,
    ! [X0,X1] : join(meet(meet(join(X0,X1),X0),meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
    inference(paramodulation,[status(thm)],[f783,f16]) ).

fof(f901,plain,
    ! [X0,X1] : join(X0,meet(join(X0,X1),join(join(X0,X1),X0))) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f783,f7]) ).

fof(f902,plain,
    ! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
    inference(forward_demodulation,[status(thm)],[f783,f896]) ).

fof(f903,plain,
    ! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f783,f902]) ).

fof(f1015,plain,
    ! [X0,X1] : join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(paramodulation,[status(thm)],[f864,f16]) ).

fof(f1030,plain,
    ! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f854,f1015]) ).

fof(f1031,plain,
    ! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f613,f1030]) ).

fof(f1032,plain,
    ! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f522,f1031]) ).

fof(f1033,plain,
    ! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f152,f1032]) ).

fof(f1034,plain,
    ! [X0,X1] : X0 = meet(X0,join(meet(X0,join(X1,X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f40,f1033]) ).

fof(f1036,plain,
    ! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
    inference(backward_demodulation,[status(thm)],[f1038,f177]) ).

fof(f1038,plain,
    ! [X0,X1] : X0 = join(meet(X0,join(X1,X0)),X0),
    inference(forward_demodulation,[status(thm)],[f854,f1034]) ).

fof(f1051,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),X0),
    inference(backward_demodulation,[status(thm)],[f1062,f854]) ).

fof(f1062,plain,
    ! [X0,X1] : X0 = meet(X0,join(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f618,f1036]) ).

fof(f1083,plain,
    ! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(join(X0,X1),join(X2,X0))),
    inference(paramodulation,[status(thm)],[f10,f1051]) ).

fof(f1093,plain,
    ! [X0,X1] : join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)) = meet(X0,X1),
    inference(paramodulation,[status(thm)],[f1051,f7]) ).

fof(f1095,plain,
    ! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,X1),
    inference(backward_demodulation,[status(thm)],[f1083,f901]) ).

fof(f1109,plain,
    ! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
    inference(forward_demodulation,[status(thm)],[f493,f1093]) ).

fof(f1110,plain,
    ! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
    inference(backward_demodulation,[status(thm)],[f1095,f903]) ).

fof(f1118,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f493,f1110]) ).

fof(f1130,plain,
    ! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
    inference(paramodulation,[status(thm)],[f1062,f772]) ).

fof(f1150,plain,
    ! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f1118,f618]) ).

fof(f1650,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X2,X0))) = join(join(meet(X0,X1),meet(X2,X0)),X0),
    inference(paramodulation,[status(thm)],[f11,f1150]) ).

fof(f1672,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
    inference(forward_demodulation,[status(thm)],[f11,f1650]) ).

fof(f1801,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X0))) = X0,
    inference(paramodulation,[status(thm)],[f777,f1672]) ).

fof(f2271,plain,
    ! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X0,X2))) = X0,
    inference(paramodulation,[status(thm)],[f1109,f1801]) ).

fof(f2525,plain,
    ! [X0,X1] : meet(meet(X0,X1),join(meet(X0,X1),meet(X1,X0))) = join(meet(X0,X1),meet(X1,X0)),
    inference(paramodulation,[status(thm)],[f2271,f30]) ).

fof(f2554,plain,
    ! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f1118,f2525]) ).

fof(f2614,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = join(meet(X1,X0),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f2554,f1130]) ).

fof(f2668,plain,
    ! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f2554,f2614]) ).

fof(f2677,plain,
    meet(b,a) != meet(b,a),
    inference(backward_demodulation,[status(thm)],[f2716,f12]) ).

fof(f2716,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f2554,f2668]) ).

fof(f2722,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f2677]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n012.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 : Sun Sep 20 23:10:06 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 0.12/0.53  % Refutation found
% 0.12/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.56  % Elapsed time: 0.188832 seconds
% 0.12/0.56  % CPU time: 1.337533 seconds
% 0.12/0.56  % Total memory used: 60.402 MB
% 0.12/0.56  % Net memory used: 58.010 MB
%------------------------------------------------------------------------------