TSTP Solution File: REL027-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : REL027-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.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 : Thu Aug 31 13:45:16 EDT 2023

% Result   : Unsatisfiable 31.62s 4.97s
% Output   : Refutation 31.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  141 ( 133 unt;   0 def)
%            Number of atoms       :  149 ( 148 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  18   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  177 (; 177   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338317,plain,
    $false,
    inference(trivial_inequality_removal,[],[f338316]) ).

fof(f338316,plain,
    meet(one,complement(sk1)) != meet(one,complement(sk1)),
    inference(backward_demodulation,[],[f2310,f338315]) ).

fof(f338315,plain,
    meet(one,complement(composition(sk1,top))) = meet(one,complement(sk1)),
    inference(forward_demodulation,[],[f338314,f32]) ).

fof(f32,plain,
    ! [X2,X1] : meet(X1,X2) = meet(X2,X1),
    inference(forward_demodulation,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',maddux4_definiton_of_meet_4) ).

fof(f27,plain,
    ! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',maddux1_join_commutativity_1) ).

fof(f338314,plain,
    meet(complement(sk1),one) = meet(one,complement(composition(sk1,top))),
    inference(forward_demodulation,[],[f338227,f1833]) ).

fof(f1833,plain,
    ! [X2,X3] : complement(join(X2,complement(X3))) = meet(complement(X2),X3),
    inference(backward_demodulation,[],[f1803,f1807]) ).

fof(f1807,plain,
    ! [X10] : join(zero,X10) = X10,
    inference(backward_demodulation,[],[f1077,f1800]) ).

fof(f1800,plain,
    ! [X5] : meet(X5,top) = X5,
    inference(forward_demodulation,[],[f1799,f1077]) ).

fof(f1799,plain,
    ! [X5] : meet(X5,top) = join(zero,meet(X5,top)),
    inference(forward_demodulation,[],[f1798,f43]) ).

fof(f43,plain,
    ! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
    inference(forward_demodulation,[],[f39,f1]) ).

fof(f39,plain,
    ! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
    inference(superposition,[],[f4,f31]) ).

fof(f31,plain,
    zero = complement(top),
    inference(forward_demodulation,[],[f26,f13]) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',def_zero_13) ).

fof(f26,plain,
    ! [X0] : meet(X0,complement(X0)) = complement(top),
    inference(superposition,[],[f4,f12]) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',def_top_12) ).

fof(f1798,plain,
    ! [X5] : meet(X5,top) = join(zero,complement(join(zero,complement(X5)))),
    inference(forward_demodulation,[],[f1797,f1736]) ).

fof(f1736,plain,
    ! [X20] : complement(X20) = join(complement(X20),complement(X20)),
    inference(forward_demodulation,[],[f1735,f335]) ).

fof(f335,plain,
    ! [X2] : composition(one,X2) = X2,
    inference(backward_demodulation,[],[f321,f330]) ).

fof(f330,plain,
    one = converse(one),
    inference(superposition,[],[f321,f6]) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',composition_identity_6) ).

fof(f321,plain,
    ! [X2] : composition(converse(one),X2) = X2,
    inference(forward_demodulation,[],[f303,f8]) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',converse_idempotence_8) ).

fof(f303,plain,
    ! [X2] : composition(converse(one),X2) = converse(converse(X2)),
    inference(superposition,[],[f108,f6]) ).

fof(f108,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f10,f8]) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',converse_multiplicativity_10) ).

fof(f1735,plain,
    ! [X20] : complement(X20) = join(complement(X20),complement(composition(one,X20))),
    inference(forward_demodulation,[],[f1713,f335]) ).

fof(f1713,plain,
    ! [X20] : complement(X20) = join(complement(X20),composition(one,complement(composition(one,X20)))),
    inference(superposition,[],[f16,f330]) ).

fof(f16,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f11,f1]) ).

fof(f11,axiom,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',converse_cancellativity_11) ).

fof(f1797,plain,
    ! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(X5))))),
    inference(backward_demodulation,[],[f897,f1795]) ).

fof(f1795,plain,
    ! [X2] : complement(X2) = complement(meet(X2,top)),
    inference(forward_demodulation,[],[f1793,f43]) ).

fof(f1793,plain,
    ! [X2] : complement(X2) = complement(complement(join(zero,complement(X2)))),
    inference(backward_demodulation,[],[f1078,f1774]) ).

fof(f1774,plain,
    ! [X0] : complement(complement(X0)) = meet(top,X0),
    inference(superposition,[],[f1078,f1764]) ).

fof(f1764,plain,
    ! [X0] : join(zero,complement(complement(X0))) = X0,
    inference(backward_demodulation,[],[f883,f1754]) ).

fof(f1754,plain,
    ! [X0] : complement(complement(X0)) = meet(X0,X0),
    inference(superposition,[],[f4,f1736]) ).

fof(f883,plain,
    ! [X0] : join(zero,meet(X0,X0)) = X0,
    inference(forward_demodulation,[],[f859,f4]) ).

fof(f859,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[],[f19,f13]) ).

fof(f19,plain,
    ! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f18,f1]) ).

fof(f18,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
    inference(forward_demodulation,[],[f17,f4]) ).

fof(f17,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',maddux3_a_kind_of_de_Morgan_3) ).

fof(f1078,plain,
    ! [X2] : complement(X2) = meet(top,join(zero,complement(X2))),
    inference(backward_demodulation,[],[f55,f1077]) ).

fof(f55,plain,
    ! [X2] : complement(join(zero,meet(X2,top))) = meet(top,join(zero,complement(X2))),
    inference(forward_demodulation,[],[f46,f32]) ).

fof(f46,plain,
    ! [X2] : meet(join(zero,complement(X2)),top) = complement(join(zero,meet(X2,top))),
    inference(superposition,[],[f43,f43]) ).

fof(f897,plain,
    ! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
    inference(forward_demodulation,[],[f896,f1]) ).

fof(f896,plain,
    ! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(meet(X5,top)),complement(X5))))),
    inference(forward_demodulation,[],[f863,f229]) ).

fof(f229,plain,
    ! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
    inference(forward_demodulation,[],[f209,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',maddux2_join_associativity_2) ).

fof(f209,plain,
    ! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
    inference(superposition,[],[f2,f1]) ).

fof(f863,plain,
    ! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
    inference(superposition,[],[f19,f58]) ).

fof(f58,plain,
    ! [X4] : zero = meet(meet(X4,top),join(zero,complement(X4))),
    inference(forward_demodulation,[],[f51,f32]) ).

fof(f51,plain,
    ! [X4] : zero = meet(join(zero,complement(X4)),meet(X4,top)),
    inference(superposition,[],[f13,f43]) ).

fof(f1077,plain,
    ! [X10] : join(zero,meet(X10,top)) = X10,
    inference(forward_demodulation,[],[f1076,f31]) ).

fof(f1076,plain,
    ! [X10] : join(complement(top),meet(X10,top)) = X10,
    inference(forward_demodulation,[],[f1014,f1]) ).

fof(f1014,plain,
    ! [X10] : join(meet(X10,top),complement(top)) = X10,
    inference(superposition,[],[f19,f981]) ).

fof(f981,plain,
    ! [X6] : top = join(X6,top),
    inference(backward_demodulation,[],[f416,f979]) ).

fof(f979,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[],[f969,f42]) ).

fof(f42,plain,
    top = join(top,zero),
    inference(superposition,[],[f12,f31]) ).

fof(f969,plain,
    ! [X0] : join(top,zero) = join(top,complement(X0)),
    inference(superposition,[],[f917,f13]) ).

fof(f917,plain,
    ! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
    inference(forward_demodulation,[],[f916,f208]) ).

fof(f208,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f2,f12]) ).

fof(f916,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
    inference(forward_demodulation,[],[f915,f219]) ).

fof(f219,plain,
    ! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X7,join(X5,X6)),
    inference(superposition,[],[f2,f1]) ).

fof(f915,plain,
    ! [X0,X1] : join(top,meet(X0,X1)) = join(complement(X0),join(X1,X0)),
    inference(forward_demodulation,[],[f879,f2]) ).

fof(f879,plain,
    ! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
    inference(superposition,[],[f413,f19]) ).

fof(f413,plain,
    ! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
    inference(superposition,[],[f208,f1]) ).

fof(f416,plain,
    ! [X6] : join(top,complement(complement(X6))) = join(X6,top),
    inference(superposition,[],[f208,f12]) ).

fof(f1803,plain,
    ! [X2,X3] : meet(join(zero,complement(X2)),X3) = complement(join(X2,complement(X3))),
    inference(backward_demodulation,[],[f50,f1800]) ).

fof(f50,plain,
    ! [X2,X3] : meet(join(zero,complement(X2)),X3) = complement(join(meet(X2,top),complement(X3))),
    inference(superposition,[],[f4,f43]) ).

fof(f338227,plain,
    meet(one,complement(composition(sk1,top))) = complement(join(sk1,complement(one))),
    inference(superposition,[],[f1832,f261258]) ).

fof(f261258,plain,
    join(sk1,complement(one)) = join(complement(one),composition(sk1,top)),
    inference(superposition,[],[f97601,f118495]) ).

fof(f118495,plain,
    ! [X148] : composition(X148,top) = join(X148,composition(X148,complement(one))),
    inference(forward_demodulation,[],[f118494,f330]) ).

fof(f118494,plain,
    ! [X148] : composition(X148,top) = join(X148,composition(X148,complement(converse(one)))),
    inference(forward_demodulation,[],[f118493,f12954]) ).

fof(f12954,plain,
    ! [X6] : complement(converse(X6)) = converse(complement(X6)),
    inference(superposition,[],[f12837,f1831]) ).

fof(f1831,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(backward_demodulation,[],[f1801,f1807]) ).

fof(f1801,plain,
    ! [X0] : complement(join(zero,complement(X0))) = X0,
    inference(backward_demodulation,[],[f43,f1800]) ).

fof(f12837,plain,
    ! [X12] : converse(X12) = complement(converse(complement(X12))),
    inference(forward_demodulation,[],[f12776,f9597]) ).

fof(f9597,plain,
    ! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
    inference(forward_demodulation,[],[f9529,f1]) ).

fof(f9529,plain,
    ! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
    inference(superposition,[],[f8848,f1845]) ).

fof(f1845,plain,
    ! [X13] : meet(X13,converse(complement(converse(complement(X13))))) = X13,
    inference(backward_demodulation,[],[f1093,f1807]) ).

fof(f1093,plain,
    ! [X13] : join(zero,meet(X13,converse(complement(converse(complement(X13)))))) = X13,
    inference(forward_demodulation,[],[f1087,f31]) ).

fof(f1087,plain,
    ! [X13] : join(complement(top),meet(X13,converse(complement(converse(complement(X13)))))) = X13,
    inference(backward_demodulation,[],[f913,f1080]) ).

fof(f1080,plain,
    top = converse(top),
    inference(forward_demodulation,[],[f1016,f1059]) ).

fof(f1059,plain,
    ! [X7] : top = join(X7,converse(top)),
    inference(backward_demodulation,[],[f417,f1003]) ).

fof(f1003,plain,
    ! [X1] : top = join(top,X1),
    inference(superposition,[],[f981,f1]) ).

fof(f417,plain,
    ! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
    inference(superposition,[],[f208,f120]) ).

fof(f120,plain,
    ! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
    inference(superposition,[],[f69,f12]) ).

fof(f69,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f9,f8]) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',converse_additivity_9) ).

fof(f1016,plain,
    ! [X12] : converse(top) = join(X12,converse(top)),
    inference(superposition,[],[f69,f981]) ).

fof(f913,plain,
    ! [X13] : join(complement(converse(top)),meet(X13,converse(complement(converse(complement(X13)))))) = X13,
    inference(forward_demodulation,[],[f877,f1]) ).

fof(f877,plain,
    ! [X13] : join(meet(X13,converse(complement(converse(complement(X13))))),complement(converse(top))) = X13,
    inference(superposition,[],[f19,f120]) ).

fof(f8848,plain,
    ! [X73,X74] : join(X73,converse(meet(X74,converse(X73)))) = X73,
    inference(forward_demodulation,[],[f8782,f8]) ).

fof(f8782,plain,
    ! [X73,X74] : join(X73,converse(meet(X74,converse(X73)))) = converse(converse(X73)),
    inference(superposition,[],[f69,f8418]) ).

fof(f8418,plain,
    ! [X2,X1] : join(X1,meet(X2,X1)) = X1,
    inference(superposition,[],[f8389,f32]) ).

fof(f8389,plain,
    ! [X36,X37] : join(X36,meet(X36,X37)) = X36,
    inference(forward_demodulation,[],[f8351,f1831]) ).

fof(f8351,plain,
    ! [X36,X37] : complement(complement(X36)) = join(X36,meet(X36,X37)),
    inference(superposition,[],[f1831,f8047]) ).

fof(f8047,plain,
    ! [X34,X33] : complement(X33) = complement(join(X33,meet(X33,X34))),
    inference(backward_demodulation,[],[f3650,f7981]) ).

fof(f7981,plain,
    ! [X3,X4] : complement(join(X3,X4)) = meet(complement(X3),complement(X4)),
    inference(superposition,[],[f1832,f1831]) ).

fof(f3650,plain,
    ! [X34,X33] : complement(X33) = meet(complement(X33),complement(meet(X33,X34))),
    inference(superposition,[],[f1876,f1838]) ).

fof(f1838,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(backward_demodulation,[],[f1770,f1807]) ).

fof(f1770,plain,
    ! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
    inference(superposition,[],[f1764,f4]) ).

fof(f1876,plain,
    ! [X4,X5] : meet(X4,join(X4,X5)) = X4,
    inference(forward_demodulation,[],[f1843,f1831]) ).

fof(f1843,plain,
    ! [X4,X5] : meet(X4,join(complement(complement(X4)),X5)) = X4,
    inference(backward_demodulation,[],[f1070,f1807]) ).

fof(f1070,plain,
    ! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
    inference(forward_demodulation,[],[f1044,f31]) ).

fof(f1044,plain,
    ! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
    inference(backward_demodulation,[],[f905,f1003]) ).

fof(f905,plain,
    ! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
    inference(forward_demodulation,[],[f872,f1]) ).

fof(f872,plain,
    ! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
    inference(superposition,[],[f19,f208]) ).

fof(f12776,plain,
    ! [X12] : converse(X12) = join(converse(X12),complement(converse(complement(X12)))),
    inference(superposition,[],[f12731,f8]) ).

fof(f12731,plain,
    ! [X53] : join(X53,complement(converse(complement(converse(X53))))) = X53,
    inference(forward_demodulation,[],[f12632,f1831]) ).

fof(f12632,plain,
    ! [X53] : complement(complement(X53)) = join(X53,complement(converse(complement(converse(complement(complement(X53))))))),
    inference(superposition,[],[f3622,f1845]) ).

fof(f3622,plain,
    ! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
    inference(superposition,[],[f1838,f1831]) ).

fof(f118493,plain,
    ! [X148] : composition(X148,top) = join(X148,composition(X148,converse(complement(one)))),
    inference(forward_demodulation,[],[f118492,f105]) ).

fof(f105,plain,
    ! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
    inference(superposition,[],[f10,f8]) ).

fof(f118492,plain,
    ! [X148] : composition(X148,top) = join(X148,converse(composition(complement(one),converse(X148)))),
    inference(forward_demodulation,[],[f118491,f1080]) ).

fof(f118491,plain,
    ! [X148] : join(X148,converse(composition(complement(one),converse(X148)))) = composition(X148,converse(top)),
    inference(forward_demodulation,[],[f118324,f105]) ).

fof(f118324,plain,
    ! [X148] : join(X148,converse(composition(complement(one),converse(X148)))) = converse(composition(top,converse(X148))),
    inference(superposition,[],[f69,f97161]) ).

fof(f97161,plain,
    ! [X198] : composition(top,X198) = join(X198,composition(complement(one),X198)),
    inference(superposition,[],[f1197,f12]) ).

fof(f1197,plain,
    ! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
    inference(superposition,[],[f7,f335]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',composition_distributivity_7) ).

fof(f97601,plain,
    ! [X11,X12] : join(X12,X11) = join(X11,join(X12,composition(sk1,X11))),
    inference(superposition,[],[f229,f97399]) ).

fof(f97399,plain,
    ! [X134] : join(X134,composition(sk1,X134)) = X134,
    inference(forward_demodulation,[],[f97135,f335]) ).

fof(f97135,plain,
    ! [X134] : join(X134,composition(sk1,X134)) = composition(one,X134),
    inference(superposition,[],[f1197,f20]) ).

fof(f20,plain,
    one = join(one,sk1),
    inference(superposition,[],[f1,f14]) ).

fof(f14,axiom,
    one = join(sk1,one),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',goals_14) ).

fof(f1832,plain,
    ! [X0,X1] : complement(join(complement(X1),X0)) = meet(X1,complement(X0)),
    inference(backward_demodulation,[],[f1802,f1807]) ).

fof(f1802,plain,
    ! [X0,X1] : meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),X0)),
    inference(backward_demodulation,[],[f49,f1800]) ).

fof(f49,plain,
    ! [X0,X1] : meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),meet(X0,top))),
    inference(superposition,[],[f4,f43]) ).

fof(f2310,plain,
    meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)),
    inference(trivial_inequality_removal,[],[f2309]) ).

fof(f2309,plain,
    ( meet(one,complement(sk1)) != meet(one,complement(sk1))
    | meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)) ),
    inference(forward_demodulation,[],[f2308,f1750]) ).

fof(f1750,plain,
    ! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,X1)),
    inference(superposition,[],[f1736,f4]) ).

fof(f2308,plain,
    ( meet(one,complement(sk1)) != join(meet(one,complement(sk1)),meet(one,complement(sk1)))
    | meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)) ),
    inference(inner_rewriting,[],[f2307]) ).

fof(f2307,plain,
    ( meet(one,complement(composition(sk1,top))) != join(meet(one,complement(sk1)),meet(one,complement(composition(sk1,top))))
    | meet(one,complement(composition(sk1,top))) != meet(one,complement(sk1)) ),
    inference(inner_rewriting,[],[f2306]) ).

fof(f2306,plain,
    ( meet(one,complement(composition(sk1,top))) != join(meet(one,complement(sk1)),meet(one,complement(composition(sk1,top))))
    | meet(one,complement(sk1)) != join(meet(one,complement(sk1)),meet(one,complement(composition(sk1,top)))) ),
    inference(forward_demodulation,[],[f2305,f32]) ).

fof(f2305,plain,
    ( meet(one,complement(sk1)) != join(meet(one,complement(sk1)),meet(one,complement(composition(sk1,top))))
    | meet(one,complement(composition(sk1,top))) != join(meet(complement(sk1),one),meet(one,complement(composition(sk1,top)))) ),
    inference(forward_demodulation,[],[f2304,f32]) ).

fof(f2304,plain,
    ( meet(complement(sk1),one) != join(meet(complement(sk1),one),meet(one,complement(composition(sk1,top))))
    | meet(one,complement(composition(sk1,top))) != join(meet(complement(sk1),one),meet(one,complement(composition(sk1,top)))) ),
    inference(forward_demodulation,[],[f2298,f1]) ).

fof(f2298,plain,
    ( meet(complement(sk1),one) != join(meet(one,complement(composition(sk1,top))),meet(complement(sk1),one))
    | meet(one,complement(composition(sk1,top))) != join(meet(complement(sk1),one),meet(one,complement(composition(sk1,top)))) ),
    inference(superposition,[],[f15,f32]) ).

fof(f15,axiom,
    ( meet(complement(sk1),one) != join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one))
    | meet(complement(composition(sk1,top)),one) != join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) ),
    file('/export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989',goals_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : REL027-2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri Aug 25 19:20:02 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.83JoMzicJc/Vampire---4.8_23989
% 0.15/0.37  % (24179)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (24188)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.43  % (24189)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.43  % (24182)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43  % (24183)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43  % (24185)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.43  % (24187)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.43  % (24181)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 31.62/4.96  % (24185)First to succeed.
% 31.62/4.97  % (24185)Refutation found. Thanks to Tanya!
% 31.62/4.97  % SZS status Unsatisfiable for Vampire---4
% 31.62/4.97  % SZS output start Proof for Vampire---4
% See solution above
% 31.62/4.97  % (24185)------------------------------
% 31.62/4.97  % (24185)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 31.62/4.97  % (24185)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 31.62/4.97  % (24185)Termination reason: Refutation
% 31.62/4.97  
% 31.62/4.97  % (24185)Memory used [KB]: 170658
% 31.62/4.97  % (24185)Time elapsed: 4.527 s
% 31.62/4.97  % (24185)------------------------------
% 31.62/4.97  % (24185)------------------------------
% 31.62/4.97  % (24179)Success in time 4.544 s
% 31.62/4.98  % Vampire---4.8 exiting
%------------------------------------------------------------------------------