TSTP Solution File: REL016-10 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL016-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : n018.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 13:44:54 EDT 2023
% Result : Unsatisfiable 226.70s 32.64s
% Output : Refutation 226.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 25
% Syntax : Number of formulae : 620 ( 620 unt; 0 def)
% Number of atoms : 620 ( 619 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-2 aty)
% Number of variables : 623 (; 623 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1857015,plain,
$false,
inference(subsumption_resolution,[],[f1857014,f27]) ).
fof(f27,plain,
sF10 != sF11,
inference(definition_folding,[],[f14,f26,f20,f19,f18,f17,f16,f15,f22,f19,f18,f21,f25,f24,f20,f19,f18,f17,f16,f15,f22,f19,f18,f21,f23,f22,f19,f18,f21,f20,f19,f18,f17,f16,f15]) ).
fof(f23,plain,
join(sF5,sF7) = sF8,
introduced(function_definition,[]) ).
fof(f24,plain,
join(sF7,sF5) = sF9,
introduced(function_definition,[]) ).
fof(f25,plain,
tuple(sF8,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f21,plain,
composition(sk1,sk2) = sF6,
introduced(function_definition,[]) ).
fof(f22,plain,
meet(sF6,sF4) = sF7,
introduced(function_definition,[]) ).
fof(f15,plain,
complement(sk3) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
meet(sk2,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f17,plain,
composition(sk1,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f18,plain,
composition(sk1,sk3) = sF3,
introduced(function_definition,[]) ).
fof(f19,plain,
complement(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f20,plain,
meet(sF2,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f26,plain,
tuple(sF7,sF5) = sF11,
introduced(function_definition,[]) ).
fof(f14,axiom,
tuple(join(meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))),meet(composition(sk1,sk2),complement(composition(sk1,sk3)))),join(meet(composition(sk1,sk2),complement(composition(sk1,sk3))),meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3))))) != tuple(meet(composition(sk1,sk2),complement(composition(sk1,sk3))),meet(composition(sk1,meet(sk2,complement(sk3))),complement(composition(sk1,sk3)))),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',goals_14) ).
fof(f1857014,plain,
sF10 = sF11,
inference(forward_demodulation,[],[f1854966,f1852570]) ).
fof(f1852570,plain,
sF11 = tuple(sF5,sF5),
inference(backward_demodulation,[],[f26,f1852569]) ).
fof(f1852569,plain,
sF5 = sF7,
inference(forward_demodulation,[],[f1852546,f3753]) ).
fof(f3753,plain,
! [X1] : join(X1,zero) = X1,
inference(superposition,[],[f3605,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',maddux1_join_commutativity_1) ).
fof(f3605,plain,
! [X12] : join(zero,X12) = X12,
inference(backward_demodulation,[],[f3594,f3600]) ).
fof(f3600,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f3310,f3593]) ).
fof(f3593,plain,
! [X10] : complement(complement(X10)) = X10,
inference(forward_demodulation,[],[f3588,f3554]) ).
fof(f3554,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f2628,f3538]) ).
fof(f3538,plain,
! [X2] : complement(X2) = meet(top,complement(X2)),
inference(forward_demodulation,[],[f3521,f55]) ).
fof(f55,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f46,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',maddux4_definiton_of_meet_4) ).
fof(f46,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f4,f1]) ).
fof(f3521,plain,
! [X2] : complement(X2) = meet(complement(X2),top),
inference(superposition,[],[f67,f3382]) ).
fof(f3382,plain,
! [X4] : join(zero,complement(complement(X4))) = X4,
inference(backward_demodulation,[],[f1783,f3310]) ).
fof(f1783,plain,
! [X4] : join(zero,meet(X4,X4)) = X4,
inference(forward_demodulation,[],[f1734,f4]) ).
fof(f1734,plain,
! [X4] : join(zero,complement(join(complement(X4),complement(X4)))) = X4,
inference(superposition,[],[f34,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',def_zero_13) ).
fof(f34,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f33,f1]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f32,f4]) ).
fof(f32,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/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',maddux3_a_kind_of_de_Morgan_3) ).
fof(f67,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f63,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f54]) ).
fof(f54,plain,
zero = complement(top),
inference(forward_demodulation,[],[f45,f13]) ).
fof(f45,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',def_top_12) ).
fof(f2628,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f2476,f55]) ).
fof(f2476,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f2475,f54]) ).
fof(f2475,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f2467,f1]) ).
fof(f2467,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f34,f2309]) ).
fof(f2309,plain,
! [X4] : top = join(X4,top),
inference(forward_demodulation,[],[f2213,f2101]) ).
fof(f2101,plain,
! [X20] : top = join(top,X20),
inference(superposition,[],[f2087,f66]) ).
fof(f66,plain,
top = join(top,zero),
inference(superposition,[],[f12,f54]) ).
fof(f2087,plain,
! [X0,X1] : join(top,X1) = join(top,X0),
inference(forward_demodulation,[],[f2057,f1858]) ).
fof(f1858,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1857,f458]) ).
fof(f458,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',maddux2_join_associativity_2) ).
fof(f1857,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1856,f476]) ).
fof(f476,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X7,join(X5,X6)),
inference(superposition,[],[f2,f1]) ).
fof(f1856,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1779,f2]) ).
fof(f1779,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[],[f632,f34]) ).
fof(f632,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f458,f1]) ).
fof(f2057,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X1,X0)),
inference(superposition,[],[f1858,f55]) ).
fof(f2213,plain,
! [X4,X5] : join(top,join(complement(complement(X4)),X5)) = join(X4,top),
inference(backward_demodulation,[],[f634,f2101]) ).
fof(f634,plain,
! [X4,X5] : join(top,join(complement(complement(X4)),X5)) = join(X4,join(top,X5)),
inference(superposition,[],[f458,f458]) ).
fof(f3588,plain,
! [X10] : join(zero,complement(complement(X10))) = X10,
inference(backward_demodulation,[],[f2476,f3562]) ).
fof(f3562,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f67,f3554]) ).
fof(f3310,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f4,f2592]) ).
fof(f2592,plain,
! [X22] : complement(X22) = join(complement(X22),complement(X22)),
inference(forward_demodulation,[],[f2591,f390]) ).
fof(f390,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f377,f385]) ).
fof(f385,plain,
one = converse(one),
inference(superposition,[],[f377,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',composition_identity_6) ).
fof(f377,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f359,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',converse_idempotence_8) ).
fof(f359,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f229,f6]) ).
fof(f229,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/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',converse_multiplicativity_10) ).
fof(f2591,plain,
! [X22] : complement(X22) = join(complement(X22),complement(composition(one,X22))),
inference(forward_demodulation,[],[f2570,f390]) ).
fof(f2570,plain,
! [X22] : complement(X22) = join(complement(X22),composition(one,complement(composition(one,X22)))),
inference(superposition,[],[f31,f385]) ).
fof(f31,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/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',converse_cancellativity_11) ).
fof(f3594,plain,
! [X12] : join(zero,meet(X12,X12)) = X12,
inference(backward_demodulation,[],[f1853,f3593]) ).
fof(f1853,plain,
! [X12] : join(zero,meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1852,f54]) ).
fof(f1852,plain,
! [X12] : join(complement(top),meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1776,f1]) ).
fof(f1776,plain,
! [X12] : join(meet(X12,complement(complement(X12))),complement(top)) = X12,
inference(superposition,[],[f34,f12]) ).
fof(f1852546,plain,
sF7 = join(sF5,zero),
inference(backward_demodulation,[],[f1447324,f1852530]) ).
fof(f1852530,plain,
zero = meet(sF7,complement(sF2)),
inference(forward_demodulation,[],[f1852400,f123121]) ).
fof(f123121,plain,
meet(sF7,complement(sF2)) = meet(sF7,complement(sF5)),
inference(forward_demodulation,[],[f123120,f55]) ).
fof(f123120,plain,
meet(complement(sF5),sF7) = meet(sF7,complement(sF2)),
inference(forward_demodulation,[],[f123119,f55]) ).
fof(f123119,plain,
meet(complement(sF5),sF7) = meet(complement(sF2),sF7),
inference(forward_demodulation,[],[f123093,f3684]) ).
fof(f3684,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(forward_demodulation,[],[f3563,f3602]) ).
fof(f3602,plain,
! [X0] : meet(X0,top) = X0,
inference(backward_demodulation,[],[f3562,f3593]) ).
fof(f3563,plain,
! [X0,X1] : complement(join(meet(X0,top),complement(X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f159,f3554]) ).
fof(f159,plain,
! [X0,X1] : meet(join(zero,complement(X0)),X1) = complement(join(meet(X0,top),complement(X1))),
inference(superposition,[],[f4,f67]) ).
fof(f123093,plain,
meet(complement(sF5),sF7) = complement(join(sF2,complement(sF7))),
inference(superposition,[],[f3684,f119923]) ).
fof(f119923,plain,
join(sF5,complement(sF7)) = join(sF2,complement(sF7)),
inference(forward_demodulation,[],[f119898,f1]) ).
fof(f119898,plain,
join(sF5,complement(sF7)) = join(complement(sF7),sF2),
inference(superposition,[],[f9925,f117803]) ).
fof(f117803,plain,
! [X108] : complement(sF7) = join(complement(sF7),meet(X108,sF3)),
inference(superposition,[],[f117284,f41869]) ).
fof(f41869,plain,
sF3 = meet(complement(sF7),join(sF3,sF6)),
inference(forward_demodulation,[],[f41365,f3649]) ).
fof(f3649,plain,
sF3 = complement(sF4),
inference(backward_demodulation,[],[f3353,f3633]) ).
fof(f3633,plain,
! [X0] : meet(top,X0) = X0,
inference(backward_demodulation,[],[f2628,f3605]) ).
fof(f3353,plain,
complement(sF4) = meet(top,sF3),
inference(backward_demodulation,[],[f124,f3352]) ).
fof(f3352,plain,
sF4 = join(zero,sF4),
inference(forward_demodulation,[],[f3309,f2896]) ).
fof(f2896,plain,
join(sF4,sF4) = join(zero,sF4),
inference(superposition,[],[f2628,f1802]) ).
fof(f1802,plain,
sF4 = meet(top,join(sF4,sF4)),
inference(forward_demodulation,[],[f1790,f19]) ).
fof(f1790,plain,
complement(sF3) = meet(top,join(sF4,sF4)),
inference(backward_demodulation,[],[f173,f1783]) ).
fof(f173,plain,
complement(join(zero,meet(sF3,sF3))) = meet(top,join(sF4,sF4)),
inference(forward_demodulation,[],[f153,f55]) ).
fof(f153,plain,
meet(join(sF4,sF4),top) = complement(join(zero,meet(sF3,sF3))),
inference(superposition,[],[f67,f115]) ).
fof(f115,plain,
meet(sF3,sF3) = complement(join(sF4,sF4)),
inference(superposition,[],[f40,f19]) ).
fof(f40,plain,
! [X1] : meet(sF3,X1) = complement(join(sF4,complement(X1))),
inference(superposition,[],[f4,f19]) ).
fof(f3309,plain,
sF4 = join(sF4,sF4),
inference(superposition,[],[f2592,f19]) ).
fof(f124,plain,
complement(join(zero,sF4)) = meet(top,sF3),
inference(forward_demodulation,[],[f123,f53]) ).
fof(f53,plain,
! [X1] : meet(sF3,X1) = meet(X1,sF3),
inference(forward_demodulation,[],[f52,f40]) ).
fof(f52,plain,
! [X1] : complement(join(sF4,complement(X1))) = meet(X1,sF3),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f43,plain,
! [X1] : meet(X1,sF3) = complement(join(complement(X1),sF4)),
inference(superposition,[],[f4,f19]) ).
fof(f123,plain,
meet(sF3,top) = complement(join(zero,sF4)),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
meet(sF3,top) = complement(join(sF4,zero)),
inference(superposition,[],[f40,f54]) ).
fof(f41365,plain,
complement(sF4) = meet(complement(sF7),join(sF3,sF6)),
inference(superposition,[],[f3684,f3662]) ).
fof(f3662,plain,
sF4 = join(sF7,complement(join(sF3,sF6))),
inference(forward_demodulation,[],[f3657,f1]) ).
fof(f3657,plain,
sF4 = join(sF7,complement(join(sF6,sF3))),
inference(backward_demodulation,[],[f1840,f3649]) ).
fof(f1840,plain,
sF4 = join(sF7,complement(join(sF6,complement(sF4)))),
inference(forward_demodulation,[],[f1756,f1]) ).
fof(f1756,plain,
sF4 = join(sF7,complement(join(complement(sF4),sF6))),
inference(superposition,[],[f34,f56]) ).
fof(f56,plain,
sF7 = meet(sF4,sF6),
inference(backward_demodulation,[],[f22,f55]) ).
fof(f117284,plain,
! [X68,X66,X67] : join(X67,meet(X68,meet(X67,X66))) = X67,
inference(superposition,[],[f48672,f3593]) ).
fof(f48672,plain,
! [X72,X73,X74] : join(X72,meet(X74,meet(X72,complement(X73)))) = X72,
inference(forward_demodulation,[],[f48137,f1855]) ).
fof(f1855,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f1778,f1]) ).
fof(f1778,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f34,f4]) ).
fof(f48137,plain,
! [X72,X73,X74] : join(X72,meet(X74,meet(X72,complement(X73)))) = join(meet(X72,X73),meet(X72,complement(X73))),
inference(superposition,[],[f3699,f47793]) ).
fof(f47793,plain,
! [X8,X9] : join(X8,meet(X9,X8)) = X8,
inference(backward_demodulation,[],[f30027,f47792]) ).
fof(f47792,plain,
! [X78,X77] : join(X77,meet(X77,X78)) = X77,
inference(forward_demodulation,[],[f47616,f3593]) ).
fof(f47616,plain,
! [X78,X77] : complement(complement(X77)) = join(X77,meet(X77,X78)),
inference(superposition,[],[f3593,f41449]) ).
fof(f41449,plain,
! [X29,X30] : complement(X29) = complement(join(X29,meet(X29,X30))),
inference(backward_demodulation,[],[f7396,f41270]) ).
fof(f41270,plain,
! [X6,X7] : complement(join(X7,X6)) = meet(complement(X7),complement(X6)),
inference(superposition,[],[f3684,f3593]) ).
fof(f7396,plain,
! [X29,X30] : complement(X29) = meet(complement(X29),complement(meet(X29,X30))),
inference(superposition,[],[f3627,f3713]) ).
fof(f3713,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f3688,f3712]) ).
fof(f3712,plain,
! [X3,X4] : complement(X3) = join(complement(join(X3,X4)),meet(complement(X3),X4)),
inference(forward_demodulation,[],[f3711,f1]) ).
fof(f3711,plain,
! [X3,X4] : complement(X3) = join(meet(complement(X3),X4),complement(join(X3,X4))),
inference(forward_demodulation,[],[f3710,f3602]) ).
fof(f3710,plain,
! [X3,X4] : complement(X3) = join(meet(complement(X3),X4),complement(join(meet(X3,top),X4))),
inference(forward_demodulation,[],[f3569,f1]) ).
fof(f3569,plain,
! [X3,X4] : complement(X3) = join(complement(join(meet(X3,top),X4)),meet(complement(X3),X4)),
inference(backward_demodulation,[],[f1843,f3554]) ).
fof(f1843,plain,
! [X3,X4] : join(zero,complement(X3)) = join(complement(join(meet(X3,top),X4)),meet(join(zero,complement(X3)),X4)),
inference(forward_demodulation,[],[f1758,f1]) ).
fof(f1758,plain,
! [X3,X4] : join(zero,complement(X3)) = join(meet(join(zero,complement(X3)),X4),complement(join(meet(X3,top),X4))),
inference(superposition,[],[f34,f67]) ).
fof(f3688,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(complement(meet(X0,X1)),X2)),
inference(backward_demodulation,[],[f1842,f3684]) ).
fof(f1842,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[],[f1841,f41]) ).
fof(f41,plain,
! [X2,X3,X4] : meet(join(complement(X2),complement(X3)),X4) = complement(join(meet(X2,X3),complement(X4))),
inference(superposition,[],[f4,f4]) ).
fof(f1841,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)),
inference(forward_demodulation,[],[f1757,f1]) ).
fof(f1757,plain,
! [X2,X0,X1] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(superposition,[],[f34,f4]) ).
fof(f3627,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(backward_demodulation,[],[f3597,f3605]) ).
fof(f3597,plain,
! [X4,X5] : join(zero,meet(X4,join(X4,X5))) = X4,
inference(backward_demodulation,[],[f2317,f3593]) ).
fof(f2317,plain,
! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f2243,f54]) ).
fof(f2243,plain,
! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(backward_demodulation,[],[f1846,f2101]) ).
fof(f1846,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1772,f1]) ).
fof(f1772,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f34,f458]) ).
fof(f30027,plain,
! [X8,X9] : join(X8,meet(X8,X9)) = join(X8,meet(X9,X8)),
inference(forward_demodulation,[],[f30026,f3593]) ).
fof(f30026,plain,
! [X8,X9] : join(X8,meet(complement(complement(X9)),X8)) = join(X8,meet(X8,X9)),
inference(forward_demodulation,[],[f29474,f1]) ).
fof(f29474,plain,
! [X8,X9] : join(X8,meet(complement(complement(X9)),X8)) = join(meet(X8,X9),X8),
inference(superposition,[],[f3699,f3686]) ).
fof(f3686,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f1770,f3684]) ).
fof(f1770,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[],[f34,f1]) ).
fof(f3699,plain,
! [X8,X6,X7] : join(X6,X8) = join(meet(X6,X7),join(meet(X6,complement(X7)),X8)),
inference(backward_demodulation,[],[f1780,f3694]) ).
fof(f3694,plain,
! [X2,X3] : meet(X3,complement(X2)) = complement(join(complement(X3),X2)),
inference(forward_demodulation,[],[f3564,f3602]) ).
fof(f3564,plain,
! [X2,X3] : complement(join(complement(X3),meet(X2,top))) = meet(X3,complement(X2)),
inference(backward_demodulation,[],[f160,f3554]) ).
fof(f160,plain,
! [X2,X3] : meet(X3,join(zero,complement(X2))) = complement(join(complement(X3),meet(X2,top))),
inference(superposition,[],[f4,f67]) ).
fof(f1780,plain,
! [X8,X6,X7] : join(X6,X8) = join(meet(X6,X7),join(complement(join(complement(X6),X7)),X8)),
inference(superposition,[],[f2,f34]) ).
fof(f9925,plain,
! [X165] : join(sF5,join(X165,meet(sF2,sF3))) = join(X165,sF2),
inference(superposition,[],[f486,f1837]) ).
fof(f1837,plain,
sF2 = join(sF5,meet(sF2,sF3)),
inference(forward_demodulation,[],[f1836,f53]) ).
fof(f1836,plain,
sF2 = join(sF5,meet(sF3,sF2)),
inference(forward_demodulation,[],[f1835,f40]) ).
fof(f1835,plain,
sF2 = join(sF5,complement(join(sF4,complement(sF2)))),
inference(forward_demodulation,[],[f1753,f1]) ).
fof(f1753,plain,
sF2 = join(sF5,complement(join(complement(sF2),sF4))),
inference(superposition,[],[f34,f20]) ).
fof(f486,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f459,f2]) ).
fof(f459,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f2,f1]) ).
fof(f1852400,plain,
zero = meet(sF7,complement(sF5)),
inference(superposition,[],[f13,f1851145]) ).
fof(f1851145,plain,
complement(sF7) = complement(sF5),
inference(forward_demodulation,[],[f1851139,f119885]) ).
fof(f119885,plain,
! [X0] : complement(sF7) = join(complement(sF7),meet(sF3,X0)),
inference(superposition,[],[f117803,f53]) ).
fof(f1851139,plain,
complement(sF5) = join(complement(sF7),meet(sF3,sF6)),
inference(backward_demodulation,[],[f1452533,f1851136]) ).
fof(f1851136,plain,
meet(sF3,sF6) = meet(sF6,complement(sF5)),
inference(backward_demodulation,[],[f116977,f1851087]) ).
fof(f1851087,plain,
! [X94] : meet(X94,complement(sF5)) = meet(X94,complement(sF7)),
inference(forward_demodulation,[],[f1851016,f834828]) ).
fof(f834828,plain,
! [X100] : meet(X100,complement(sF5)) = join(meet(sF3,X100),meet(X100,complement(join(sF2,sF3)))),
inference(forward_demodulation,[],[f834827,f44605]) ).
fof(f44605,plain,
join(sF2,sF3) = join(sF3,sF5),
inference(forward_demodulation,[],[f44604,f20689]) ).
fof(f20689,plain,
! [X0] : sF5 = meet(sF5,join(sF2,X0)),
inference(superposition,[],[f20325,f1]) ).
fof(f20325,plain,
! [X276] : sF5 = meet(sF5,join(X276,sF2)),
inference(superposition,[],[f6727,f1837]) ).
fof(f6727,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X1,X0))) = X1,
inference(superposition,[],[f4160,f1]) ).
fof(f4160,plain,
! [X18,X16,X17] : meet(X18,join(X16,join(X17,X18))) = X18,
inference(superposition,[],[f3628,f2]) ).
fof(f3628,plain,
! [X10,X11] : meet(X10,join(X11,X10)) = X10,
inference(backward_demodulation,[],[f3598,f3605]) ).
fof(f3598,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,X10))) = X10,
inference(backward_demodulation,[],[f2318,f3593]) ).
fof(f2318,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f2244,f54]) ).
fof(f2244,plain,
! [X10,X11] : join(complement(top),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(backward_demodulation,[],[f1851,f2101]) ).
fof(f1851,plain,
! [X10,X11] : join(complement(join(top,X11)),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1775,f1]) ).
fof(f1775,plain,
! [X10,X11] : join(meet(X10,join(X11,complement(complement(X10)))),complement(join(top,X11))) = X10,
inference(superposition,[],[f34,f632]) ).
fof(f44604,plain,
join(sF2,sF3) = join(sF3,meet(sF5,join(sF2,sF3))),
inference(forward_demodulation,[],[f44590,f1]) ).
fof(f44590,plain,
join(sF2,sF3) = join(meet(sF5,join(sF2,sF3)),sF3),
inference(superposition,[],[f6358,f43843]) ).
fof(f43843,plain,
sF3 = meet(complement(sF5),join(sF2,sF3)),
inference(forward_demodulation,[],[f43825,f3649]) ).
fof(f43825,plain,
complement(sF4) = meet(complement(sF5),join(sF2,sF3)),
inference(superposition,[],[f3684,f41627]) ).
fof(f41627,plain,
sF4 = join(sF5,complement(join(sF2,sF3))),
inference(backward_demodulation,[],[f34445,f41596]) ).
fof(f41596,plain,
! [X35] : complement(join(X35,sF3)) = meet(sF4,complement(X35)),
inference(forward_demodulation,[],[f41286,f55]) ).
fof(f41286,plain,
! [X35] : complement(join(X35,sF3)) = meet(complement(X35),sF4),
inference(superposition,[],[f3684,f3649]) ).
fof(f34445,plain,
sF4 = join(sF5,meet(sF4,complement(sF2))),
inference(superposition,[],[f3700,f20]) ).
fof(f3700,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f1732,f3694]) ).
fof(f1732,plain,
! [X0,X1] : join(meet(X1,X0),complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f34,f55]) ).
fof(f6358,plain,
! [X2,X1] : join(meet(X2,X1),meet(complement(X2),X1)) = X1,
inference(superposition,[],[f3686,f55]) ).
fof(f834827,plain,
! [X100] : meet(X100,complement(sF5)) = join(meet(sF3,X100),meet(X100,complement(join(sF3,sF5)))),
inference(forward_demodulation,[],[f834826,f41270]) ).
fof(f834826,plain,
! [X100] : meet(X100,complement(sF5)) = join(meet(sF3,X100),meet(X100,meet(complement(sF3),complement(sF5)))),
inference(forward_demodulation,[],[f834825,f212369]) ).
fof(f212369,plain,
! [X228,X229,X227] : meet(X227,meet(X229,X228)) = meet(X227,meet(X228,X229)),
inference(forward_demodulation,[],[f212368,f3593]) ).
fof(f212368,plain,
! [X228,X229,X227] : meet(X227,complement(complement(meet(X228,X229)))) = meet(X227,meet(X229,X228)),
inference(forward_demodulation,[],[f212367,f3593]) ).
fof(f212367,plain,
! [X228,X229,X227] : meet(X227,complement(complement(meet(X228,X229)))) = meet(X227,complement(complement(meet(X229,X228)))),
inference(forward_demodulation,[],[f211664,f3694]) ).
fof(f211664,plain,
! [X228,X229,X227] : meet(X227,complement(complement(meet(X228,X229)))) = complement(join(complement(X227),complement(meet(X229,X228)))),
inference(superposition,[],[f3694,f10203]) ).
fof(f10203,plain,
! [X56,X57,X55] : join(X57,complement(meet(X55,X56))) = join(X57,complement(meet(X56,X55))),
inference(forward_demodulation,[],[f9862,f8133]) ).
fof(f8133,plain,
! [X46,X44,X45] : join(complement(X45),join(X46,complement(X44))) = join(X46,complement(meet(X44,X45))),
inference(superposition,[],[f476,f3713]) ).
fof(f9862,plain,
! [X56,X57,X55] : join(complement(X55),join(X57,complement(X56))) = join(X57,complement(meet(X55,X56))),
inference(superposition,[],[f486,f3713]) ).
fof(f834825,plain,
! [X100] : meet(X100,complement(sF5)) = join(meet(sF3,X100),meet(X100,meet(complement(sF5),complement(sF3)))),
inference(forward_demodulation,[],[f834698,f351056]) ).
fof(f351056,plain,
! [X3,X4,X5] : meet(meet(X3,X4),complement(X5)) = meet(X3,meet(X4,complement(X5))),
inference(forward_demodulation,[],[f351055,f3694]) ).
fof(f351055,plain,
! [X3,X4,X5] : meet(X3,complement(join(complement(X4),X5))) = meet(meet(X3,X4),complement(X5)),
inference(forward_demodulation,[],[f350278,f3694]) ).
fof(f350278,plain,
! [X3,X4,X5] : meet(X3,complement(join(complement(X4),X5))) = complement(join(complement(meet(X3,X4)),X5)),
inference(superposition,[],[f3694,f7391]) ).
fof(f7391,plain,
! [X18,X19,X20] : join(complement(X18),join(complement(X19),X20)) = join(complement(meet(X18,X19)),X20),
inference(superposition,[],[f2,f3713]) ).
fof(f834698,plain,
! [X100] : meet(X100,complement(sF5)) = join(meet(sF3,X100),meet(meet(X100,complement(sF5)),complement(sF3))),
inference(superposition,[],[f3700,f116964]) ).
fof(f116964,plain,
! [X238] : meet(sF3,X238) = meet(sF3,meet(X238,complement(sF5))),
inference(forward_demodulation,[],[f116369,f74530]) ).
fof(f74530,plain,
! [X5] : meet(sF3,X5) = meet(sF3,join(sF5,X5)),
inference(forward_demodulation,[],[f74387,f74124]) ).
fof(f74124,plain,
! [X16] : meet(sF3,X16) = meet(sF3,join(sF4,X16)),
inference(forward_demodulation,[],[f74123,f3649]) ).
fof(f74123,plain,
! [X16] : meet(complement(sF4),X16) = meet(sF3,join(sF4,X16)),
inference(forward_demodulation,[],[f74010,f3684]) ).
fof(f74010,plain,
! [X16] : complement(join(sF4,complement(X16))) = meet(sF3,join(sF4,X16)),
inference(superposition,[],[f48452,f3593]) ).
fof(f48452,plain,
! [X3] : meet(sF3,join(sF4,complement(X3))) = complement(join(sF4,X3)),
inference(backward_demodulation,[],[f109,f48447]) ).
fof(f48447,plain,
! [X23] : complement(join(sF4,meet(sF3,X23))) = complement(join(sF4,X23)),
inference(backward_demodulation,[],[f7132,f48443]) ).
fof(f48443,plain,
! [X23] : join(sF4,meet(X23,sF3)) = join(sF4,X23),
inference(forward_demodulation,[],[f48442,f47792]) ).
fof(f48442,plain,
! [X23] : join(sF4,meet(X23,sF3)) = join(sF4,join(X23,meet(X23,sF3))),
inference(forward_demodulation,[],[f48441,f9947]) ).
fof(f9947,plain,
! [X16,X14,X15] : join(X15,join(X14,X16)) = join(X15,join(X16,X14)),
inference(superposition,[],[f486,f476]) ).
fof(f48441,plain,
! [X23] : join(sF4,meet(X23,sF3)) = join(sF4,join(meet(X23,sF3),X23)),
inference(forward_demodulation,[],[f47854,f2]) ).
fof(f47854,plain,
! [X23] : join(sF4,meet(X23,sF3)) = join(join(sF4,meet(X23,sF3)),X23),
inference(superposition,[],[f47793,f32099]) ).
fof(f32099,plain,
! [X32] : meet(X32,join(sF4,meet(X32,sF3))) = X32,
inference(superposition,[],[f3698,f3649]) ).
fof(f3698,plain,
! [X6,X7] : meet(X6,join(X7,meet(X6,complement(X7)))) = X6,
inference(backward_demodulation,[],[f3625,f3694]) ).
fof(f3625,plain,
! [X6,X7] : meet(X6,join(X7,complement(join(complement(X6),X7)))) = X6,
inference(backward_demodulation,[],[f1848,f3605]) ).
fof(f1848,plain,
! [X6,X7] : join(zero,meet(X6,join(X7,complement(join(complement(X6),X7))))) = X6,
inference(forward_demodulation,[],[f1847,f54]) ).
fof(f1847,plain,
! [X6,X7] : join(complement(top),meet(X6,join(X7,complement(join(complement(X6),X7))))) = X6,
inference(forward_demodulation,[],[f1773,f1]) ).
fof(f1773,plain,
! [X6,X7] : join(meet(X6,join(X7,complement(join(complement(X6),X7)))),complement(top)) = X6,
inference(superposition,[],[f34,f475]) ).
fof(f475,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f2,f12]) ).
fof(f7132,plain,
! [X23] : complement(join(sF4,meet(X23,sF3))) = complement(join(sF4,meet(sF3,X23))),
inference(forward_demodulation,[],[f7093,f109]) ).
fof(f7093,plain,
! [X23] : complement(join(sF4,meet(X23,sF3))) = meet(sF3,join(sF4,complement(X23))),
inference(superposition,[],[f3703,f5058]) ).
fof(f5058,plain,
! [X0] : join(sF4,complement(X0)) = complement(meet(X0,sF3)),
inference(superposition,[],[f3676,f53]) ).
fof(f3676,plain,
! [X4] : join(sF4,complement(X4)) = complement(meet(sF3,X4)),
inference(forward_demodulation,[],[f3638,f3633]) ).
fof(f3638,plain,
! [X4] : meet(top,join(sF4,complement(X4))) = complement(meet(sF3,X4)),
inference(backward_demodulation,[],[f169,f3605]) ).
fof(f169,plain,
! [X4] : complement(join(zero,meet(sF3,X4))) = meet(top,join(sF4,complement(X4))),
inference(forward_demodulation,[],[f149,f55]) ).
fof(f149,plain,
! [X4] : meet(join(sF4,complement(X4)),top) = complement(join(zero,meet(sF3,X4))),
inference(superposition,[],[f67,f40]) ).
fof(f3703,plain,
! [X7] : meet(sF3,complement(X7)) = complement(join(sF4,X7)),
inference(forward_demodulation,[],[f3566,f3602]) ).
fof(f3566,plain,
! [X7] : complement(join(sF4,meet(X7,top))) = meet(sF3,complement(X7)),
inference(backward_demodulation,[],[f164,f3554]) ).
fof(f164,plain,
! [X7] : meet(sF3,join(zero,complement(X7))) = complement(join(sF4,meet(X7,top))),
inference(superposition,[],[f40,f67]) ).
fof(f109,plain,
! [X3] : meet(sF3,join(sF4,complement(X3))) = complement(join(sF4,meet(sF3,X3))),
inference(superposition,[],[f40,f40]) ).
fof(f74387,plain,
! [X5] : meet(sF3,join(sF4,X5)) = meet(sF3,join(sF5,X5)),
inference(superposition,[],[f74124,f8057]) ).
fof(f8057,plain,
! [X1] : join(sF4,X1) = join(sF4,join(sF5,X1)),
inference(superposition,[],[f2,f8007]) ).
fof(f8007,plain,
sF4 = join(sF4,sF5),
inference(forward_demodulation,[],[f7974,f19]) ).
fof(f7974,plain,
complement(sF3) = join(sF4,sF5),
inference(superposition,[],[f3593,f7831]) ).
fof(f7831,plain,
sF3 = complement(join(sF4,sF5)),
inference(forward_demodulation,[],[f7830,f3633]) ).
fof(f7830,plain,
sF3 = complement(meet(top,join(sF4,sF5))),
inference(forward_demodulation,[],[f7829,f3713]) ).
fof(f7829,plain,
sF3 = join(complement(top),complement(join(sF4,sF5))),
inference(forward_demodulation,[],[f7828,f3703]) ).
fof(f7828,plain,
sF3 = join(complement(top),meet(sF3,complement(sF5))),
inference(forward_demodulation,[],[f7810,f1]) ).
fof(f7810,plain,
sF3 = join(meet(sF3,complement(sF5)),complement(top)),
inference(superposition,[],[f1769,f7498]) ).
fof(f7498,plain,
top = join(sF4,complement(sF5)),
inference(superposition,[],[f7379,f7232]) ).
fof(f7232,plain,
sF5 = meet(sF4,sF5),
inference(superposition,[],[f5937,f20]) ).
fof(f5937,plain,
! [X2,X1] : meet(X2,X1) = meet(X1,meet(X2,X1)),
inference(superposition,[],[f5779,f55]) ).
fof(f5779,plain,
! [X16,X15] : meet(X15,X16) = meet(X15,meet(X15,X16)),
inference(forward_demodulation,[],[f5698,f55]) ).
fof(f5698,plain,
! [X16,X15] : meet(X15,X16) = meet(meet(X15,X16),X15),
inference(superposition,[],[f3627,f1855]) ).
fof(f7379,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f2198,f3713]) ).
fof(f2198,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f458,f2101]) ).
fof(f1769,plain,
! [X17] : sF3 = join(meet(sF3,X17),complement(join(sF4,X17))),
inference(superposition,[],[f34,f19]) ).
fof(f116369,plain,
! [X238] : meet(sF3,meet(X238,complement(sF5))) = meet(sF3,join(sF5,X238)),
inference(superposition,[],[f74530,f48241]) ).
fof(f48241,plain,
! [X16,X15] : join(X16,X15) = join(X16,meet(X15,complement(X16))),
inference(forward_demodulation,[],[f48240,f47792]) ).
fof(f48240,plain,
! [X16,X15] : join(X16,meet(X15,complement(X16))) = join(X16,join(X15,meet(X15,complement(X16)))),
inference(forward_demodulation,[],[f48239,f9947]) ).
fof(f48239,plain,
! [X16,X15] : join(X16,meet(X15,complement(X16))) = join(X16,join(meet(X15,complement(X16)),X15)),
inference(forward_demodulation,[],[f47847,f2]) ).
fof(f47847,plain,
! [X16,X15] : join(X16,meet(X15,complement(X16))) = join(join(X16,meet(X15,complement(X16))),X15),
inference(superposition,[],[f47793,f3698]) ).
fof(f1851016,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(X94,complement(join(sF2,sF3)))),
inference(backward_demodulation,[],[f442456,f1850961]) ).
fof(f1850961,plain,
join(sF3,sF6) = join(sF2,sF3),
inference(forward_demodulation,[],[f1850960,f1]) ).
fof(f1850960,plain,
join(sF6,sF3) = join(sF2,sF3),
inference(forward_demodulation,[],[f1850959,f1]) ).
fof(f1850959,plain,
join(sF6,sF3) = join(sF3,sF2),
inference(forward_demodulation,[],[f1850958,f18]) ).
fof(f1850958,plain,
join(sF3,sF2) = join(sF6,composition(sk1,sk3)),
inference(forward_demodulation,[],[f1850957,f17]) ).
fof(f1850957,plain,
join(sF6,composition(sk1,sk3)) = join(sF3,composition(sk1,sF1)),
inference(forward_demodulation,[],[f1850781,f1102552]) ).
fof(f1102552,plain,
! [X26] : join(sF6,composition(sk1,X26)) = composition(sk1,join(sk2,X26)),
inference(forward_demodulation,[],[f1102551,f8]) ).
fof(f1102551,plain,
! [X26] : join(sF6,composition(sk1,X26)) = composition(converse(converse(sk1)),join(sk2,X26)),
inference(forward_demodulation,[],[f1102550,f8]) ).
fof(f1102550,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X26)) = join(sF6,composition(sk1,X26)),
inference(forward_demodulation,[],[f1102549,f8]) ).
fof(f1102549,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X26)) = join(sF6,composition(sk1,converse(converse(X26)))),
inference(forward_demodulation,[],[f1102548,f226]) ).
fof(f226,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f10,f8]) ).
fof(f1102548,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X26)) = join(sF6,converse(composition(converse(X26),converse(sk1)))),
inference(forward_demodulation,[],[f1102354,f192]) ).
fof(f192,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/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',converse_additivity_9) ).
fof(f1102354,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk2)),X26)) = converse(join(converse(sF6),composition(converse(X26),converse(sk1)))),
inference(superposition,[],[f305,f37711]) ).
fof(f37711,plain,
! [X52] : composition(join(converse(sk2),X52),converse(sk1)) = join(converse(sF6),composition(X52,converse(sk1))),
inference(superposition,[],[f1880,f21]) ).
fof(f1880,plain,
! [X10,X8,X9] : composition(join(converse(X8),X10),converse(X9)) = join(converse(composition(X9,X8)),composition(X10,converse(X9))),
inference(superposition,[],[f7,f10]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928',composition_distributivity_7) ).
fof(f305,plain,
! [X16,X14,X15] : converse(composition(join(X14,converse(X15)),X16)) = composition(converse(X16),join(converse(X14),X15)),
inference(superposition,[],[f10,f193]) ).
fof(f193,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f1850781,plain,
join(sF3,composition(sk1,sF1)) = composition(sk1,join(sk2,sk3)),
inference(superposition,[],[f1109560,f44155]) ).
fof(f44155,plain,
join(sk3,sF1) = join(sk2,sk3),
inference(forward_demodulation,[],[f44154,f20589]) ).
fof(f20589,plain,
! [X0] : sF1 = meet(sF1,join(sk2,X0)),
inference(superposition,[],[f20262,f1]) ).
fof(f20262,plain,
! [X175] : sF1 = meet(sF1,join(X175,sk2)),
inference(superposition,[],[f6727,f1832]) ).
fof(f1832,plain,
sk2 = join(sF1,meet(sk2,sk3)),
inference(forward_demodulation,[],[f1831,f51]) ).
fof(f51,plain,
! [X0] : meet(sk3,X0) = meet(X0,sk3),
inference(forward_demodulation,[],[f50,f39]) ).
fof(f39,plain,
! [X0] : meet(sk3,X0) = complement(join(sF0,complement(X0))),
inference(superposition,[],[f4,f15]) ).
fof(f50,plain,
! [X0] : complement(join(sF0,complement(X0))) = meet(X0,sk3),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f42,plain,
! [X0] : meet(X0,sk3) = complement(join(complement(X0),sF0)),
inference(superposition,[],[f4,f15]) ).
fof(f1831,plain,
sk2 = join(sF1,meet(sk3,sk2)),
inference(forward_demodulation,[],[f1830,f39]) ).
fof(f1830,plain,
sk2 = join(sF1,complement(join(sF0,complement(sk2)))),
inference(forward_demodulation,[],[f1750,f1]) ).
fof(f1750,plain,
sk2 = join(sF1,complement(join(complement(sk2),sF0))),
inference(superposition,[],[f34,f16]) ).
fof(f44154,plain,
join(sk2,sk3) = join(sk3,meet(sF1,join(sk2,sk3))),
inference(forward_demodulation,[],[f44140,f1]) ).
fof(f44140,plain,
join(sk2,sk3) = join(meet(sF1,join(sk2,sk3)),sk3),
inference(superposition,[],[f6358,f43795]) ).
fof(f43795,plain,
sk3 = meet(complement(sF1),join(sk2,sk3)),
inference(forward_demodulation,[],[f43777,f3648]) ).
fof(f3648,plain,
sk3 = complement(sF0),
inference(backward_demodulation,[],[f3321,f3633]) ).
fof(f3321,plain,
complement(sF0) = meet(top,sk3),
inference(backward_demodulation,[],[f81,f3320]) ).
fof(f3320,plain,
sF0 = join(zero,sF0),
inference(forward_demodulation,[],[f3308,f2895]) ).
fof(f2895,plain,
join(sF0,sF0) = join(zero,sF0),
inference(superposition,[],[f2628,f1798]) ).
fof(f1798,plain,
sF0 = meet(top,join(sF0,sF0)),
inference(forward_demodulation,[],[f1788,f15]) ).
fof(f1788,plain,
complement(sk3) = meet(top,join(sF0,sF0)),
inference(backward_demodulation,[],[f170,f1783]) ).
fof(f170,plain,
complement(join(zero,meet(sk3,sk3))) = meet(top,join(sF0,sF0)),
inference(forward_demodulation,[],[f150,f55]) ).
fof(f150,plain,
meet(join(sF0,sF0),top) = complement(join(zero,meet(sk3,sk3))),
inference(superposition,[],[f67,f72]) ).
fof(f72,plain,
meet(sk3,sk3) = complement(join(sF0,sF0)),
inference(superposition,[],[f39,f15]) ).
fof(f3308,plain,
sF0 = join(sF0,sF0),
inference(superposition,[],[f2592,f15]) ).
fof(f81,plain,
complement(join(zero,sF0)) = meet(top,sk3),
inference(forward_demodulation,[],[f80,f51]) ).
fof(f80,plain,
meet(sk3,top) = complement(join(zero,sF0)),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
meet(sk3,top) = complement(join(sF0,zero)),
inference(superposition,[],[f39,f54]) ).
fof(f43777,plain,
complement(sF0) = meet(complement(sF1),join(sk2,sk3)),
inference(superposition,[],[f3684,f41566]) ).
fof(f41566,plain,
sF0 = join(sF1,complement(join(sk2,sk3))),
inference(backward_demodulation,[],[f34397,f41548]) ).
fof(f41548,plain,
! [X33] : complement(join(X33,sk3)) = meet(sF0,complement(X33)),
inference(forward_demodulation,[],[f41284,f55]) ).
fof(f41284,plain,
! [X33] : meet(complement(X33),sF0) = complement(join(X33,sk3)),
inference(superposition,[],[f3684,f3648]) ).
fof(f34397,plain,
sF0 = join(sF1,meet(sF0,complement(sk2))),
inference(superposition,[],[f3700,f16]) ).
fof(f1109560,plain,
! [X26] : join(sF3,composition(sk1,X26)) = composition(sk1,join(sk3,X26)),
inference(forward_demodulation,[],[f1109559,f8]) ).
fof(f1109559,plain,
! [X26] : join(sF3,composition(sk1,X26)) = composition(converse(converse(sk1)),join(sk3,X26)),
inference(forward_demodulation,[],[f1109558,f8]) ).
fof(f1109558,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk3)),X26)) = join(sF3,composition(sk1,X26)),
inference(forward_demodulation,[],[f1109557,f8]) ).
fof(f1109557,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk3)),X26)) = join(sF3,composition(sk1,converse(converse(X26)))),
inference(forward_demodulation,[],[f1109556,f226]) ).
fof(f1109556,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk3)),X26)) = join(sF3,converse(composition(converse(X26),converse(sk1)))),
inference(forward_demodulation,[],[f1109274,f192]) ).
fof(f1109274,plain,
! [X26] : composition(converse(converse(sk1)),join(converse(converse(sk3)),X26)) = converse(join(converse(sF3),composition(converse(X26),converse(sk1)))),
inference(superposition,[],[f305,f37712]) ).
fof(f37712,plain,
! [X53] : composition(join(converse(sk3),X53),converse(sk1)) = join(converse(sF3),composition(X53,converse(sk1))),
inference(superposition,[],[f1880,f18]) ).
fof(f442456,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(X94,complement(join(sF3,sF6)))),
inference(forward_demodulation,[],[f442455,f44020]) ).
fof(f44020,plain,
join(sF3,sF7) = join(sF3,sF6),
inference(forward_demodulation,[],[f44019,f20337]) ).
fof(f20337,plain,
! [X292] : sF7 = meet(sF7,join(X292,sF6)),
inference(superposition,[],[f6727,f6288]) ).
fof(f6288,plain,
sF6 = join(sF7,meet(sF6,complement(sF7))),
inference(superposition,[],[f1855,f6285]) ).
fof(f6285,plain,
sF7 = meet(sF6,sF7),
inference(forward_demodulation,[],[f6280,f55]) ).
fof(f6280,plain,
sF7 = meet(sF7,sF6),
inference(superposition,[],[f3627,f6242]) ).
fof(f6242,plain,
sF6 = join(sF7,meet(sF3,sF6)),
inference(forward_demodulation,[],[f6241,f53]) ).
fof(f6241,plain,
sF6 = join(sF7,meet(sF6,sF3)),
inference(forward_demodulation,[],[f6211,f1]) ).
fof(f6211,plain,
sF6 = join(meet(sF6,sF3),sF7),
inference(superposition,[],[f5906,f56]) ).
fof(f5906,plain,
! [X0] : join(meet(X0,sF3),meet(sF4,X0)) = X0,
inference(superposition,[],[f5685,f55]) ).
fof(f5685,plain,
! [X13] : join(meet(X13,sF3),meet(X13,sF4)) = X13,
inference(superposition,[],[f1855,f19]) ).
fof(f44019,plain,
join(sF3,sF6) = join(sF3,meet(sF7,join(sF3,sF6))),
inference(forward_demodulation,[],[f44005,f1]) ).
fof(f44005,plain,
join(sF3,sF6) = join(meet(sF7,join(sF3,sF6)),sF3),
inference(superposition,[],[f6358,f41869]) ).
fof(f442455,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(X94,complement(join(sF3,sF7)))),
inference(forward_demodulation,[],[f442454,f41270]) ).
fof(f442454,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(X94,meet(complement(sF3),complement(sF7)))),
inference(forward_demodulation,[],[f442453,f212369]) ).
fof(f442453,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(X94,meet(complement(sF7),complement(sF3)))),
inference(forward_demodulation,[],[f442362,f351056]) ).
fof(f442362,plain,
! [X94] : meet(X94,complement(sF7)) = join(meet(sF3,X94),meet(meet(X94,complement(sF7)),complement(sF3))),
inference(superposition,[],[f3700,f116976]) ).
fof(f116976,plain,
! [X254] : meet(sF3,X254) = meet(sF3,meet(X254,complement(sF7))),
inference(forward_demodulation,[],[f116384,f74533]) ).
fof(f74533,plain,
! [X6] : meet(sF3,X6) = meet(sF3,join(sF7,X6)),
inference(forward_demodulation,[],[f74388,f74124]) ).
fof(f74388,plain,
! [X6] : meet(sF3,join(sF7,X6)) = meet(sF3,join(sF4,X6)),
inference(superposition,[],[f74124,f7746]) ).
fof(f7746,plain,
! [X1] : join(sF4,X1) = join(sF4,join(sF7,X1)),
inference(superposition,[],[f2,f7725]) ).
fof(f7725,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f7692,f19]) ).
fof(f7692,plain,
complement(sF3) = join(sF4,sF7),
inference(superposition,[],[f3593,f7651]) ).
fof(f7651,plain,
sF3 = complement(join(sF4,sF7)),
inference(forward_demodulation,[],[f7650,f3633]) ).
fof(f7650,plain,
sF3 = complement(meet(top,join(sF4,sF7))),
inference(forward_demodulation,[],[f7649,f3713]) ).
fof(f7649,plain,
sF3 = join(complement(top),complement(join(sF4,sF7))),
inference(forward_demodulation,[],[f7648,f3703]) ).
fof(f7648,plain,
sF3 = join(complement(top),meet(sF3,complement(sF7))),
inference(forward_demodulation,[],[f7625,f1]) ).
fof(f7625,plain,
sF3 = join(meet(sF3,complement(sF7)),complement(top)),
inference(superposition,[],[f1769,f7499]) ).
fof(f7499,plain,
top = join(sF4,complement(sF7)),
inference(superposition,[],[f7379,f56]) ).
fof(f116384,plain,
! [X254] : meet(sF3,meet(X254,complement(sF7))) = meet(sF3,join(sF7,X254)),
inference(superposition,[],[f74533,f48241]) ).
fof(f116977,plain,
meet(sF3,sF6) = meet(sF6,complement(sF7)),
inference(backward_demodulation,[],[f102137,f116976]) ).
fof(f102137,plain,
meet(sF6,complement(sF7)) = meet(sF3,meet(sF6,complement(sF7))),
inference(forward_demodulation,[],[f102136,f3753]) ).
fof(f102136,plain,
meet(sF6,complement(sF7)) = join(meet(sF3,meet(sF6,complement(sF7))),zero),
inference(forward_demodulation,[],[f102111,f102078]) ).
fof(f102078,plain,
! [X3,X4,X5] : join(meet(X3,X4),X5) = join(meet(X4,X3),X5),
inference(forward_demodulation,[],[f102077,f102073]) ).
fof(f102073,plain,
! [X2,X1] : meet(X1,X2) = meet(meet(X2,X1),meet(X1,X2)),
inference(forward_demodulation,[],[f100074,f3753]) ).
fof(f100074,plain,
! [X2,X1] : meet(X1,X2) = join(meet(meet(X2,X1),meet(X1,X2)),zero),
inference(superposition,[],[f3700,f13650]) ).
fof(f13650,plain,
! [X28,X29] : zero = meet(meet(X28,X29),complement(meet(X29,X28))),
inference(superposition,[],[f13,f7434]) ).
fof(f7434,plain,
! [X3,X4] : complement(meet(X3,X4)) = complement(meet(X4,X3)),
inference(forward_demodulation,[],[f7377,f3713]) ).
fof(f7377,plain,
! [X3,X4] : join(complement(X4),complement(X3)) = complement(meet(X3,X4)),
inference(superposition,[],[f3713,f1]) ).
fof(f102077,plain,
! [X3,X4,X5] : join(meet(X3,X4),X5) = join(meet(meet(X3,X4),meet(X4,X3)),X5),
inference(forward_demodulation,[],[f102076,f3605]) ).
fof(f102076,plain,
! [X3,X4,X5] : join(meet(X3,X4),X5) = join(zero,join(meet(meet(X3,X4),meet(X4,X3)),X5)),
inference(forward_demodulation,[],[f100075,f486]) ).
fof(f100075,plain,
! [X3,X4,X5] : join(meet(X3,X4),X5) = join(meet(meet(X3,X4),meet(X4,X3)),join(zero,X5)),
inference(superposition,[],[f3699,f13650]) ).
fof(f102111,plain,
meet(sF6,complement(sF7)) = join(meet(meet(sF6,complement(sF7)),sF3),zero),
inference(superposition,[],[f5906,f101638]) ).
fof(f101638,plain,
zero = meet(sF4,meet(sF6,complement(sF7))),
inference(forward_demodulation,[],[f101637,f89648]) ).
fof(f89648,plain,
! [X143,X144] : meet(sF4,meet(X143,complement(X144))) = meet(X143,complement(join(X144,sF3))),
inference(forward_demodulation,[],[f89647,f89273]) ).
fof(f89273,plain,
! [X34,X35,X33] : meet(X33,complement(join(X34,X35))) = complement(join(X35,join(complement(X33),X34))),
inference(superposition,[],[f3694,f476]) ).
fof(f89647,plain,
! [X143,X144] : meet(sF4,meet(X143,complement(X144))) = complement(join(sF3,join(complement(X143),X144))),
inference(forward_demodulation,[],[f89382,f41649]) ).
fof(f41649,plain,
! [X14] : complement(join(sF3,X14)) = complement(join(X14,sF3)),
inference(forward_demodulation,[],[f41648,f41448]) ).
fof(f41448,plain,
! [X28,X29] : complement(join(X29,X28)) = complement(join(X28,join(X29,X28))),
inference(backward_demodulation,[],[f34673,f41270]) ).
fof(f34673,plain,
! [X28,X29] : complement(join(X29,X28)) = meet(complement(X28),complement(join(X29,X28))),
inference(forward_demodulation,[],[f34672,f55]) ).
fof(f34672,plain,
! [X28,X29] : complement(join(X29,X28)) = meet(complement(join(X29,X28)),complement(X28)),
inference(forward_demodulation,[],[f34355,f3605]) ).
fof(f34355,plain,
! [X28,X29] : complement(join(X29,X28)) = join(zero,meet(complement(join(X29,X28)),complement(X28))),
inference(superposition,[],[f3700,f16141]) ).
fof(f16141,plain,
! [X8,X7] : zero = meet(X7,complement(join(X8,X7))),
inference(forward_demodulation,[],[f16030,f55]) ).
fof(f16030,plain,
! [X8,X7] : zero = meet(complement(join(X8,X7)),X7),
inference(superposition,[],[f15388,f3628]) ).
fof(f15388,plain,
! [X2,X1] : zero = meet(complement(X1),meet(X2,X1)),
inference(superposition,[],[f14973,f55]) ).
fof(f14973,plain,
! [X3,X4] : zero = meet(complement(X3),meet(X3,X4)),
inference(superposition,[],[f14913,f3593]) ).
fof(f14913,plain,
! [X24,X23] : zero = meet(X23,meet(complement(X23),X24)),
inference(forward_demodulation,[],[f14837,f3602]) ).
fof(f14837,plain,
! [X24,X23] : zero = meet(meet(X23,meet(complement(X23),X24)),top),
inference(superposition,[],[f13,f7513]) ).
fof(f7513,plain,
! [X10,X9] : top = complement(meet(X9,meet(complement(X9),X10))),
inference(superposition,[],[f7379,f3713]) ).
fof(f41648,plain,
! [X14] : complement(join(sF3,X14)) = complement(join(sF3,join(X14,sF3))),
inference(forward_demodulation,[],[f41601,f2]) ).
fof(f41601,plain,
! [X14] : complement(join(sF3,X14)) = complement(join(join(sF3,X14),sF3)),
inference(backward_demodulation,[],[f5175,f41596]) ).
fof(f5175,plain,
! [X14] : complement(join(sF3,X14)) = meet(sF4,complement(join(sF3,X14))),
inference(forward_demodulation,[],[f5149,f55]) ).
fof(f5149,plain,
! [X14] : complement(join(sF3,X14)) = meet(complement(join(sF3,X14)),sF4),
inference(superposition,[],[f3628,f5089]) ).
fof(f5089,plain,
! [X3] : sF4 = join(sF4,complement(join(sF3,X3))),
inference(forward_demodulation,[],[f5064,f19]) ).
fof(f5064,plain,
! [X3] : complement(sF3) = join(sF4,complement(join(sF3,X3))),
inference(superposition,[],[f3676,f3627]) ).
fof(f89382,plain,
! [X143,X144] : complement(join(join(complement(X143),X144),sF3)) = meet(sF4,meet(X143,complement(X144))),
inference(superposition,[],[f41596,f3694]) ).
fof(f101637,plain,
zero = meet(sF6,complement(join(sF7,sF3))),
inference(forward_demodulation,[],[f101636,f89485]) ).
fof(f89485,plain,
! [X52,X53] : meet(meet(sF4,X52),complement(X53)) = meet(X52,complement(join(X53,sF3))),
inference(backward_demodulation,[],[f89410,f89273]) ).
fof(f89410,plain,
! [X52,X53] : meet(meet(sF4,X52),complement(X53)) = complement(join(sF3,join(complement(X52),X53))),
inference(forward_demodulation,[],[f89208,f2]) ).
fof(f89208,plain,
! [X52,X53] : meet(meet(sF4,X52),complement(X53)) = complement(join(join(sF3,complement(X52)),X53)),
inference(superposition,[],[f3694,f7361]) ).
fof(f7361,plain,
! [X18] : complement(meet(sF4,X18)) = join(sF3,complement(X18)),
inference(superposition,[],[f3713,f3649]) ).
fof(f101636,plain,
zero = meet(meet(sF4,sF6),complement(sF7)),
inference(forward_demodulation,[],[f99871,f89411]) ).
fof(f89411,plain,
! [X56,X54,X55] : meet(meet(X54,X55),complement(X56)) = meet(meet(X55,X54),complement(X56)),
inference(forward_demodulation,[],[f89209,f3694]) ).
fof(f89209,plain,
! [X56,X54,X55] : meet(meet(X54,X55),complement(X56)) = complement(join(complement(meet(X55,X54)),X56)),
inference(superposition,[],[f3694,f7434]) ).
fof(f99871,plain,
zero = meet(meet(sF6,sF4),complement(sF7)),
inference(superposition,[],[f13650,f56]) ).
fof(f1452533,plain,
complement(sF5) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(backward_demodulation,[],[f1264123,f1452432]) ).
fof(f1452432,plain,
sF5 = meet(sF2,sF7),
inference(forward_demodulation,[],[f1446679,f385489]) ).
fof(f385489,plain,
meet(sF5,sF7) = meet(sF2,sF7),
inference(forward_demodulation,[],[f384660,f377194]) ).
fof(f377194,plain,
! [X86,X87] : meet(X86,X87) = meet(X87,join(X86,complement(X87))),
inference(backward_demodulation,[],[f302383,f377193]) ).
fof(f377193,plain,
! [X198,X196,X197] : meet(X196,X198) = meet(X196,meet(X198,join(X196,X197))),
inference(forward_demodulation,[],[f377192,f3593]) ).
fof(f377192,plain,
! [X198,X196,X197] : meet(X196,X198) = meet(X196,meet(X198,complement(complement(join(X196,X197))))),
inference(forward_demodulation,[],[f377191,f351056]) ).
fof(f377191,plain,
! [X198,X196,X197] : meet(X196,X198) = meet(meet(X196,X198),complement(complement(join(X196,X197)))),
inference(forward_demodulation,[],[f376410,f3605]) ).
fof(f376410,plain,
! [X198,X196,X197] : meet(X196,X198) = join(zero,meet(meet(X196,X198),complement(complement(join(X196,X197))))),
inference(superposition,[],[f3700,f310383]) ).
fof(f310383,plain,
! [X8,X6,X7] : zero = meet(complement(join(X6,X7)),meet(X6,X8)),
inference(superposition,[],[f243891,f41270]) ).
fof(f243891,plain,
! [X76,X74,X75] : zero = meet(meet(complement(X74),X75),meet(X74,X76)),
inference(superposition,[],[f187929,f3593]) ).
fof(f187929,plain,
! [X130,X128,X129] : zero = meet(meet(X128,X129),meet(complement(X128),X130)),
inference(superposition,[],[f140779,f47792]) ).
fof(f140779,plain,
! [X198,X199,X197] : zero = meet(X197,meet(complement(join(X198,X197)),X199)),
inference(backward_demodulation,[],[f98577,f140773]) ).
fof(f140773,plain,
! [X88,X86,X87] : meet(complement(X88),meet(complement(X86),X87)) = meet(complement(join(X88,X86)),X87),
inference(forward_demodulation,[],[f140537,f41292]) ).
fof(f41292,plain,
! [X10,X11,X9] : meet(complement(join(X9,X10)),X11) = complement(join(X9,join(X10,complement(X11)))),
inference(superposition,[],[f3684,f2]) ).
fof(f140537,plain,
! [X88,X86,X87] : meet(complement(X88),meet(complement(X86),X87)) = complement(join(X88,join(X86,complement(X87)))),
inference(superposition,[],[f3684,f7351]) ).
fof(f7351,plain,
! [X3,X4] : join(X3,complement(X4)) = complement(meet(complement(X3),X4)),
inference(superposition,[],[f3713,f3593]) ).
fof(f98577,plain,
! [X198,X199,X197] : zero = meet(X197,meet(complement(X198),meet(complement(X197),X199))),
inference(forward_demodulation,[],[f98576,f54]) ).
fof(f98576,plain,
! [X198,X199,X197] : complement(top) = meet(X197,meet(complement(X198),meet(complement(X197),X199))),
inference(forward_demodulation,[],[f98002,f3684]) ).
fof(f98002,plain,
! [X198,X199,X197] : complement(top) = meet(X197,complement(join(X198,complement(meet(complement(X197),X199))))),
inference(superposition,[],[f3694,f10197]) ).
fof(f10197,plain,
! [X38,X36,X37] : top = join(X36,join(X38,complement(meet(X36,X37)))),
inference(forward_demodulation,[],[f9855,f2309]) ).
fof(f9855,plain,
! [X38,X36,X37] : join(X38,top) = join(X36,join(X38,complement(meet(X36,X37)))),
inference(superposition,[],[f486,f7379]) ).
fof(f302383,plain,
! [X86,X87] : meet(X87,join(X86,complement(X87))) = meet(X86,meet(X87,join(X86,complement(X87)))),
inference(forward_demodulation,[],[f301970,f55]) ).
fof(f301970,plain,
! [X86,X87] : meet(X87,join(X86,complement(X87))) = meet(meet(X87,join(X86,complement(X87))),X86),
inference(superposition,[],[f3628,f225036]) ).
fof(f225036,plain,
! [X34,X35] : join(X35,meet(X34,join(X35,complement(X34)))) = X35,
inference(superposition,[],[f155756,f1]) ).
fof(f155756,plain,
! [X82,X81] : join(X81,meet(X82,join(complement(X82),X81))) = X81,
inference(forward_demodulation,[],[f155755,f3593]) ).
fof(f155755,plain,
! [X82,X81] : complement(complement(X81)) = join(X81,meet(X82,join(complement(X82),X81))),
inference(forward_demodulation,[],[f155754,f7365]) ).
fof(f7365,plain,
! [X3,X4] : join(complement(X4),X3) = complement(meet(X4,complement(X3))),
inference(superposition,[],[f3713,f3593]) ).
fof(f155754,plain,
! [X82,X81] : complement(complement(X81)) = join(X81,meet(X82,complement(meet(X82,complement(X81))))),
inference(forward_demodulation,[],[f154108,f3694]) ).
fof(f154108,plain,
! [X82,X81] : complement(complement(X81)) = join(X81,complement(join(complement(X82),meet(X82,complement(X81))))),
inference(superposition,[],[f7351,f88377]) ).
fof(f88377,plain,
! [X41,X42] : meet(X42,join(complement(X41),meet(X41,X42))) = X42,
inference(superposition,[],[f3685,f3593]) ).
fof(f3685,plain,
! [X8,X9] : meet(X8,join(X9,meet(complement(X9),X8))) = X8,
inference(backward_demodulation,[],[f3626,f3684]) ).
fof(f3626,plain,
! [X8,X9] : meet(X8,join(X9,complement(join(X9,complement(X8))))) = X8,
inference(backward_demodulation,[],[f1850,f3605]) ).
fof(f1850,plain,
! [X8,X9] : join(zero,meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f1849,f54]) ).
fof(f1849,plain,
! [X8,X9] : join(complement(top),meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f1774,f1]) ).
fof(f1774,plain,
! [X8,X9] : join(meet(X8,join(X9,complement(join(X9,complement(X8))))),complement(top)) = X8,
inference(superposition,[],[f34,f716]) ).
fof(f716,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X1,X0)))),
inference(superposition,[],[f475,f1]) ).
fof(f384660,plain,
meet(sF5,sF7) = meet(sF7,join(sF2,complement(sF7))),
inference(superposition,[],[f377194,f119923]) ).
fof(f1446679,plain,
sF5 = meet(sF5,sF7),
inference(backward_demodulation,[],[f4122,f1446663]) ).
fof(f1446663,plain,
sF7 = sF8,
inference(forward_demodulation,[],[f1446662,f385536]) ).
fof(f385536,plain,
sF7 = meet(sF6,sF8),
inference(forward_demodulation,[],[f385535,f56]) ).
fof(f385535,plain,
meet(sF4,sF6) = meet(sF6,sF8),
inference(forward_demodulation,[],[f385534,f55]) ).
fof(f385534,plain,
meet(sF4,sF6) = meet(sF8,sF6),
inference(forward_demodulation,[],[f384689,f377194]) ).
fof(f384689,plain,
meet(sF8,sF6) = meet(sF6,join(sF4,complement(sF6))),
inference(superposition,[],[f377194,f142355]) ).
fof(f142355,plain,
join(sF8,complement(sF6)) = join(sF4,complement(sF6)),
inference(forward_demodulation,[],[f142354,f1]) ).
fof(f142354,plain,
join(complement(sF6),sF8) = join(sF4,complement(sF6)),
inference(forward_demodulation,[],[f142109,f3676]) ).
fof(f142109,plain,
join(complement(sF6),sF8) = complement(meet(sF3,sF6)),
inference(superposition,[],[f7365,f116992]) ).
fof(f116992,plain,
meet(sF3,sF6) = meet(sF6,complement(sF8)),
inference(backward_demodulation,[],[f54894,f116991]) ).
fof(f116991,plain,
! [X267] : meet(sF3,meet(X267,complement(sF8))) = meet(sF3,X267),
inference(forward_demodulation,[],[f116397,f74536]) ).
fof(f74536,plain,
! [X7] : meet(sF3,X7) = meet(sF3,join(sF8,X7)),
inference(forward_demodulation,[],[f74389,f74124]) ).
fof(f74389,plain,
! [X7] : meet(sF3,join(sF8,X7)) = meet(sF3,join(sF4,X7)),
inference(superposition,[],[f74124,f8033]) ).
fof(f8033,plain,
! [X1] : join(sF4,X1) = join(sF4,join(sF8,X1)),
inference(superposition,[],[f2,f8011]) ).
fof(f8011,plain,
sF4 = join(sF4,sF8),
inference(backward_demodulation,[],[f7757,f8007]) ).
fof(f7757,plain,
join(sF4,sF5) = join(sF4,sF8),
inference(forward_demodulation,[],[f7756,f1]) ).
fof(f7756,plain,
join(sF5,sF4) = join(sF4,sF8),
inference(forward_demodulation,[],[f7745,f1]) ).
fof(f7745,plain,
join(sF5,sF4) = join(sF8,sF4),
inference(superposition,[],[f498,f7725]) ).
fof(f498,plain,
! [X0] : join(sF8,X0) = join(sF5,join(X0,sF7)),
inference(superposition,[],[f474,f1]) ).
fof(f474,plain,
! [X27] : join(sF5,join(sF7,X27)) = join(sF8,X27),
inference(superposition,[],[f2,f23]) ).
fof(f116397,plain,
! [X267] : meet(sF3,meet(X267,complement(sF8))) = meet(sF3,join(sF8,X267)),
inference(superposition,[],[f74536,f48241]) ).
fof(f54894,plain,
meet(sF6,complement(sF8)) = meet(sF3,meet(sF6,complement(sF8))),
inference(forward_demodulation,[],[f54893,f53]) ).
fof(f54893,plain,
meet(sF6,complement(sF8)) = meet(meet(sF6,complement(sF8)),sF3),
inference(forward_demodulation,[],[f54874,f3753]) ).
fof(f54874,plain,
meet(sF6,complement(sF8)) = join(meet(meet(sF6,complement(sF8)),sF3),zero),
inference(superposition,[],[f5906,f54809]) ).
fof(f54809,plain,
zero = meet(sF4,meet(sF6,complement(sF8))),
inference(forward_demodulation,[],[f54808,f55]) ).
fof(f54808,plain,
zero = meet(sF4,meet(complement(sF8),sF6)),
inference(forward_demodulation,[],[f54797,f51737]) ).
fof(f51737,plain,
! [X0,X1] : meet(sF4,meet(complement(X0),X1)) = meet(complement(join(sF3,X0)),X1),
inference(forward_demodulation,[],[f51736,f41292]) ).
fof(f51736,plain,
! [X0,X1] : meet(sF4,meet(complement(X0),X1)) = complement(join(sF3,join(X0,complement(X1)))),
inference(forward_demodulation,[],[f51679,f41649]) ).
fof(f51679,plain,
! [X0,X1] : complement(join(join(X0,complement(X1)),sF3)) = meet(sF4,meet(complement(X0),X1)),
inference(superposition,[],[f41596,f3684]) ).
fof(f54797,plain,
zero = meet(complement(join(sF3,sF8)),sF6),
inference(superposition,[],[f15388,f54750]) ).
fof(f54750,plain,
sF6 = meet(sF6,join(sF3,sF8)),
inference(superposition,[],[f4160,f44667]) ).
fof(f44667,plain,
join(sF3,sF8) = join(sF2,join(sF3,sF6)),
inference(backward_demodulation,[],[f44082,f44666]) ).
fof(f44666,plain,
! [X0] : join(sF2,join(sF3,X0)) = join(sF3,join(sF5,X0)),
inference(forward_demodulation,[],[f44649,f2]) ).
fof(f44649,plain,
! [X0] : join(sF3,join(sF5,X0)) = join(join(sF2,sF3),X0),
inference(superposition,[],[f2,f44605]) ).
fof(f44082,plain,
join(sF3,sF8) = join(sF3,join(sF5,sF6)),
inference(forward_demodulation,[],[f44081,f1]) ).
fof(f44081,plain,
join(sF8,sF3) = join(sF3,join(sF5,sF6)),
inference(forward_demodulation,[],[f44063,f486]) ).
fof(f44063,plain,
join(sF8,sF3) = join(sF5,join(sF3,sF6)),
inference(superposition,[],[f498,f44020]) ).
fof(f1446662,plain,
sF8 = meet(sF6,sF8),
inference(forward_demodulation,[],[f1446590,f55]) ).
fof(f1446590,plain,
sF8 = meet(sF8,sF6),
inference(backward_demodulation,[],[f53911,f1446589]) ).
fof(f1446589,plain,
sF6 = join(sF2,sF6),
inference(forward_demodulation,[],[f1446588,f21]) ).
fof(f1446588,plain,
composition(sk1,sk2) = join(sF2,sF6),
inference(forward_demodulation,[],[f1446587,f1]) ).
fof(f1446587,plain,
composition(sk1,sk2) = join(sF6,sF2),
inference(forward_demodulation,[],[f1446416,f17]) ).
fof(f1446416,plain,
composition(sk1,sk2) = join(sF6,composition(sk1,sF1)),
inference(superposition,[],[f1102552,f42184]) ).
fof(f42184,plain,
sk2 = join(sk2,sF1),
inference(forward_demodulation,[],[f42148,f3593]) ).
fof(f42148,plain,
complement(complement(sk2)) = join(sk2,sF1),
inference(superposition,[],[f3593,f41457]) ).
fof(f41457,plain,
complement(sk2) = complement(join(sk2,sF1)),
inference(backward_demodulation,[],[f14593,f41270]) ).
fof(f14593,plain,
complement(sk2) = meet(complement(sk2),complement(sF1)),
inference(superposition,[],[f3628,f14486]) ).
fof(f14486,plain,
complement(sF1) = join(sk3,complement(sk2)),
inference(superposition,[],[f7429,f16]) ).
fof(f7429,plain,
! [X16] : join(sk3,complement(X16)) = complement(meet(X16,sF0)),
inference(forward_demodulation,[],[f7373,f1]) ).
fof(f7373,plain,
! [X16] : complement(meet(X16,sF0)) = join(complement(X16),sk3),
inference(superposition,[],[f3713,f3648]) ).
fof(f53911,plain,
sF8 = meet(sF8,join(sF2,sF6)),
inference(superposition,[],[f23044,f1932]) ).
fof(f1932,plain,
! [X0] : join(sF5,join(meet(sF2,sF3),X0)) = join(sF2,X0),
inference(superposition,[],[f2,f1837]) ).
fof(f23044,plain,
! [X0] : sF8 = meet(sF8,join(sF5,join(X0,sF6))),
inference(superposition,[],[f20353,f486]) ).
fof(f20353,plain,
! [X316] : sF8 = meet(sF8,join(X316,join(sF5,sF6))),
inference(superposition,[],[f6727,f6276]) ).
fof(f6276,plain,
join(sF5,sF6) = join(sF8,meet(sF3,sF6)),
inference(superposition,[],[f474,f6242]) ).
fof(f4122,plain,
sF5 = meet(sF5,sF8),
inference(superposition,[],[f3627,f23]) ).
fof(f1264123,plain,
complement(meet(sF2,sF7)) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1264122,f392558]) ).
fof(f392558,plain,
meet(sF2,sF7) = meet(sF5,sF6),
inference(forward_demodulation,[],[f392557,f385489]) ).
fof(f392557,plain,
meet(sF5,sF7) = meet(sF5,sF6),
inference(forward_demodulation,[],[f392556,f55]) ).
fof(f392556,plain,
meet(sF7,sF5) = meet(sF5,sF6),
inference(forward_demodulation,[],[f392555,f55]) ).
fof(f392555,plain,
meet(sF7,sF5) = meet(sF6,sF5),
inference(forward_demodulation,[],[f392509,f377194]) ).
fof(f392509,plain,
meet(sF7,sF5) = meet(sF5,join(sF6,complement(sF5))),
inference(superposition,[],[f377194,f391849]) ).
fof(f391849,plain,
join(sF7,complement(sF5)) = join(sF6,complement(sF5)),
inference(forward_demodulation,[],[f391848,f298303]) ).
fof(f298303,plain,
join(sF7,complement(sF8)) = join(sF7,complement(sF5)),
inference(forward_demodulation,[],[f298302,f155997]) ).
fof(f155997,plain,
sF5 = meet(sF2,sF8),
inference(forward_demodulation,[],[f155932,f3593]) ).
fof(f155932,plain,
complement(complement(sF5)) = meet(sF2,sF8),
inference(superposition,[],[f3593,f155719]) ).
fof(f155719,plain,
complement(sF5) = complement(meet(sF2,sF8)),
inference(forward_demodulation,[],[f155718,f7434]) ).
fof(f155718,plain,
complement(sF5) = complement(meet(sF8,sF2)),
inference(forward_demodulation,[],[f155708,f3713]) ).
fof(f155708,plain,
complement(sF5) = join(complement(sF8),complement(sF2)),
inference(backward_demodulation,[],[f90582,f155682]) ).
fof(f155682,plain,
! [X12,X13] : join(complement(X13),X12) = join(complement(X13),meet(X13,X12)),
inference(forward_demodulation,[],[f155681,f48110]) ).
fof(f48110,plain,
! [X21,X19,X20] : join(X21,X19) = join(X19,join(X21,meet(X20,X19))),
inference(superposition,[],[f486,f47793]) ).
fof(f155681,plain,
! [X12,X13] : join(complement(X13),meet(X13,X12)) = join(X12,join(complement(X13),meet(X13,X12))),
inference(forward_demodulation,[],[f154081,f48241]) ).
fof(f154081,plain,
! [X12,X13] : join(complement(X13),meet(X13,X12)) = join(X12,meet(join(complement(X13),meet(X13,X12)),complement(X12))),
inference(superposition,[],[f3700,f88377]) ).
fof(f90582,plain,
complement(sF5) = join(complement(sF8),meet(sF8,complement(sF2))),
inference(backward_demodulation,[],[f35290,f90580]) ).
fof(f90580,plain,
meet(sF8,complement(sF5)) = meet(sF8,complement(sF2)),
inference(forward_demodulation,[],[f90579,f55]) ).
fof(f90579,plain,
meet(complement(sF5),sF8) = meet(sF8,complement(sF2)),
inference(forward_demodulation,[],[f90578,f55]) ).
fof(f90578,plain,
meet(complement(sF5),sF8) = meet(complement(sF2),sF8),
inference(forward_demodulation,[],[f90550,f3684]) ).
fof(f90550,plain,
meet(complement(sF5),sF8) = complement(join(sF2,complement(sF8))),
inference(superposition,[],[f3684,f90391]) ).
fof(f90391,plain,
join(sF5,complement(sF8)) = join(sF2,complement(sF8)),
inference(forward_demodulation,[],[f90366,f1]) ).
fof(f90366,plain,
join(sF5,complement(sF8)) = join(complement(sF8),sF2),
inference(superposition,[],[f9925,f89676]) ).
fof(f89676,plain,
complement(sF8) = join(complement(sF8),meet(sF2,sF3)),
inference(superposition,[],[f47793,f89628]) ).
fof(f89628,plain,
meet(sF2,sF3) = meet(sF2,complement(sF8)),
inference(forward_demodulation,[],[f89627,f3649]) ).
fof(f89627,plain,
meet(sF2,complement(sF4)) = meet(sF2,complement(sF8)),
inference(forward_demodulation,[],[f89626,f8011]) ).
fof(f89626,plain,
meet(sF2,complement(sF8)) = meet(sF2,complement(join(sF4,sF8))),
inference(forward_demodulation,[],[f89619,f89512]) ).
fof(f89512,plain,
! [X40,X41,X39] : meet(X39,complement(join(X40,X41))) = meet(X39,complement(join(X41,X40))),
inference(forward_demodulation,[],[f89275,f89273]) ).
fof(f89275,plain,
! [X40,X41,X39] : meet(X39,complement(join(X40,X41))) = complement(join(X40,join(complement(X39),X41))),
inference(superposition,[],[f3694,f486]) ).
fof(f89619,plain,
meet(sF2,complement(sF8)) = meet(sF2,complement(join(sF8,sF4))),
inference(backward_demodulation,[],[f55064,f89618]) ).
fof(f89618,plain,
! [X111,X110] : meet(sF3,meet(X110,complement(X111))) = meet(X110,complement(join(X111,sF4))),
inference(forward_demodulation,[],[f89369,f89273]) ).
fof(f89369,plain,
! [X111,X110] : complement(join(sF4,join(complement(X110),X111))) = meet(sF3,meet(X110,complement(X111))),
inference(superposition,[],[f3703,f3694]) ).
fof(f55064,plain,
meet(sF2,complement(sF8)) = meet(sF3,meet(sF2,complement(sF8))),
inference(forward_demodulation,[],[f55063,f53]) ).
fof(f55063,plain,
meet(sF2,complement(sF8)) = meet(meet(sF2,complement(sF8)),sF3),
inference(forward_demodulation,[],[f55044,f3753]) ).
fof(f55044,plain,
meet(sF2,complement(sF8)) = join(meet(meet(sF2,complement(sF8)),sF3),zero),
inference(superposition,[],[f5906,f54833]) ).
fof(f54833,plain,
zero = meet(sF4,meet(sF2,complement(sF8))),
inference(forward_demodulation,[],[f54832,f55]) ).
fof(f54832,plain,
zero = meet(sF4,meet(complement(sF8),sF2)),
inference(forward_demodulation,[],[f54824,f51737]) ).
fof(f54824,plain,
zero = meet(complement(join(sF3,sF8)),sF2),
inference(superposition,[],[f15388,f54758]) ).
fof(f54758,plain,
sF2 = meet(sF2,join(sF3,sF8)),
inference(superposition,[],[f3627,f44667]) ).
fof(f35290,plain,
complement(sF5) = join(complement(sF8),meet(sF8,complement(sF5))),
inference(forward_demodulation,[],[f35272,f1]) ).
fof(f35272,plain,
complement(sF5) = join(meet(sF8,complement(sF5)),complement(sF8)),
inference(superposition,[],[f3700,f34984]) ).
fof(f34984,plain,
complement(sF8) = meet(complement(sF5),complement(sF8)),
inference(forward_demodulation,[],[f34983,f55]) ).
fof(f34983,plain,
complement(sF8) = meet(complement(sF8),complement(sF5)),
inference(forward_demodulation,[],[f34516,f3605]) ).
fof(f34516,plain,
complement(sF8) = join(zero,meet(complement(sF8),complement(sF5))),
inference(superposition,[],[f3700,f16217]) ).
fof(f16217,plain,
zero = meet(sF5,complement(sF8)),
inference(forward_demodulation,[],[f16110,f55]) ).
fof(f16110,plain,
zero = meet(complement(sF8),sF5),
inference(superposition,[],[f15388,f4122]) ).
fof(f298302,plain,
join(sF7,complement(sF8)) = join(sF7,complement(meet(sF2,sF8))),
inference(forward_demodulation,[],[f298301,f3713]) ).
fof(f298301,plain,
join(sF7,complement(sF8)) = join(sF7,join(complement(sF2),complement(sF8))),
inference(forward_demodulation,[],[f298300,f9947]) ).
fof(f298300,plain,
join(sF7,complement(sF8)) = join(sF7,join(complement(sF8),complement(sF2))),
inference(forward_demodulation,[],[f298299,f3633]) ).
fof(f298299,plain,
join(sF7,complement(sF8)) = join(sF7,join(complement(sF8),meet(top,complement(sF2)))),
inference(forward_demodulation,[],[f298298,f142247]) ).
fof(f142247,plain,
! [X56,X54,X55] : join(complement(X56),meet(X54,X55)) = join(complement(X56),meet(X55,X54)),
inference(forward_demodulation,[],[f142034,f7365]) ).
fof(f142034,plain,
! [X56,X54,X55] : join(complement(X56),meet(X54,X55)) = complement(meet(X56,complement(meet(X55,X54)))),
inference(superposition,[],[f7365,f7434]) ).
fof(f298298,plain,
join(sF7,complement(sF8)) = join(sF7,join(complement(sF8),meet(complement(sF2),top))),
inference(forward_demodulation,[],[f296394,f2]) ).
fof(f296394,plain,
join(sF7,complement(sF8)) = join(join(sF7,complement(sF8)),meet(complement(sF2),top)),
inference(superposition,[],[f224957,f54216]) ).
fof(f54216,plain,
top = join(sF2,join(sF7,complement(sF8))),
inference(forward_demodulation,[],[f54206,f2]) ).
fof(f54206,plain,
top = join(join(sF2,sF7),complement(sF8)),
inference(superposition,[],[f7383,f54172]) ).
fof(f54172,plain,
sF8 = meet(sF8,join(sF2,sF7)),
inference(superposition,[],[f3627,f53902]) ).
fof(f53902,plain,
join(sF2,sF7) = join(sF8,meet(sF2,sF3)),
inference(superposition,[],[f1932,f498]) ).
fof(f7383,plain,
! [X6,X5] : top = join(X6,complement(meet(X5,X6))),
inference(superposition,[],[f2212,f3713]) ).
fof(f2212,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f632,f2101]) ).
fof(f224957,plain,
! [X48,X49] : join(X49,meet(complement(X48),join(X48,X49))) = X49,
inference(superposition,[],[f155756,f3593]) ).
fof(f391848,plain,
join(sF7,complement(sF8)) = join(sF6,complement(sF5)),
inference(forward_demodulation,[],[f391847,f59607]) ).
fof(f59607,plain,
! [X6] : sF8 = join(sF8,meet(sF5,X6)),
inference(forward_demodulation,[],[f59606,f1]) ).
fof(f59606,plain,
! [X6] : sF8 = join(meet(sF5,X6),sF8),
inference(forward_demodulation,[],[f59567,f48241]) ).
fof(f59567,plain,
! [X6] : sF8 = join(meet(sF5,X6),meet(sF8,complement(meet(sF5,X6)))),
inference(superposition,[],[f1855,f45383]) ).
fof(f45383,plain,
! [X0] : meet(sF5,X0) = meet(sF8,meet(sF5,X0)),
inference(forward_demodulation,[],[f45335,f3753]) ).
fof(f45335,plain,
! [X0] : meet(sF5,X0) = join(meet(sF8,meet(sF5,X0)),zero),
inference(superposition,[],[f6358,f41874]) ).
fof(f41874,plain,
! [X47] : zero = meet(complement(sF8),meet(sF5,X47)),
inference(forward_demodulation,[],[f41370,f54]) ).
fof(f41370,plain,
! [X47] : complement(top) = meet(complement(sF8),meet(sF5,X47)),
inference(superposition,[],[f3684,f7381]) ).
fof(f7381,plain,
! [X3] : top = join(sF8,complement(meet(sF5,X3))),
inference(superposition,[],[f2258,f3713]) ).
fof(f2258,plain,
! [X0] : top = join(sF8,join(complement(sF5),X0)),
inference(backward_demodulation,[],[f1992,f2101]) ).
fof(f1992,plain,
! [X0] : join(sF8,join(complement(sF5),X0)) = join(top,join(sF6,X0)),
inference(backward_demodulation,[],[f672,f1991]) ).
fof(f1991,plain,
! [X0] : join(top,join(sF7,X0)) = join(top,join(sF6,X0)),
inference(forward_demodulation,[],[f1986,f2]) ).
fof(f1986,plain,
! [X0] : join(top,join(sF7,X0)) = join(join(top,sF6),X0),
inference(superposition,[],[f2,f1980]) ).
fof(f1980,plain,
join(top,sF7) = join(top,sF6),
inference(forward_demodulation,[],[f1979,f632]) ).
fof(f1979,plain,
join(top,sF7) = join(sF4,join(sF6,complement(sF4))),
inference(forward_demodulation,[],[f1978,f476]) ).
fof(f1978,plain,
join(top,sF7) = join(sF6,join(complement(sF4),sF4)),
inference(forward_demodulation,[],[f1973,f2]) ).
fof(f1973,plain,
join(top,sF7) = join(join(sF6,complement(sF4)),sF4),
inference(superposition,[],[f632,f1840]) ).
fof(f672,plain,
! [X0] : join(sF8,join(complement(sF5),X0)) = join(top,join(sF7,X0)),
inference(forward_demodulation,[],[f671,f2]) ).
fof(f671,plain,
! [X0] : join(sF8,join(complement(sF5),X0)) = join(join(top,sF7),X0),
inference(superposition,[],[f2,f641]) ).
fof(f641,plain,
join(sF8,complement(sF5)) = join(top,sF7),
inference(superposition,[],[f458,f498]) ).
fof(f391847,plain,
join(sF6,complement(sF5)) = join(sF7,complement(join(sF8,meet(sF5,complement(sF6))))),
inference(forward_demodulation,[],[f391846,f48225]) ).
fof(f48225,plain,
! [X28,X29] : complement(join(X28,X29)) = complement(join(X29,X28)),
inference(backward_demodulation,[],[f41448,f48224]) ).
fof(f48224,plain,
! [X6,X5] : join(X5,X6) = join(X5,join(X6,X5)),
inference(forward_demodulation,[],[f47843,f2]) ).
fof(f47843,plain,
! [X6,X5] : join(X5,X6) = join(join(X5,X6),X5),
inference(superposition,[],[f47793,f3627]) ).
fof(f391846,plain,
join(sF6,complement(sF5)) = join(sF7,complement(join(meet(sF5,complement(sF6)),sF8))),
inference(forward_demodulation,[],[f391845,f150646]) ).
fof(f150646,plain,
! [X56,X54,X55] : complement(join(meet(X54,X55),X56)) = complement(join(meet(X55,X54),X56)),
inference(forward_demodulation,[],[f150441,f41270]) ).
fof(f150441,plain,
! [X56,X54,X55] : complement(join(meet(X54,X55),X56)) = meet(complement(meet(X55,X54)),complement(X56)),
inference(superposition,[],[f41270,f7434]) ).
fof(f391845,plain,
join(sF6,complement(sF5)) = join(sF7,complement(join(meet(complement(sF6),sF5),sF8))),
inference(forward_demodulation,[],[f391804,f89192]) ).
fof(f89192,plain,
! [X24,X25,X23] : meet(join(X23,complement(X24)),complement(X25)) = complement(join(meet(complement(X23),X24),X25)),
inference(superposition,[],[f3694,f3684]) ).
fof(f391804,plain,
join(sF6,complement(sF5)) = join(sF7,meet(join(sF6,complement(sF5)),complement(sF8))),
inference(superposition,[],[f3700,f385620]) ).
fof(f385620,plain,
sF7 = meet(sF8,join(sF6,complement(sF5))),
inference(backward_demodulation,[],[f384667,f385536]) ).
fof(f384667,plain,
meet(sF6,sF8) = meet(sF8,join(sF6,complement(sF5))),
inference(superposition,[],[f377194,f298293]) ).
fof(f298293,plain,
join(sF6,complement(sF8)) = join(sF6,complement(sF5)),
inference(forward_demodulation,[],[f298292,f155997]) ).
fof(f298292,plain,
join(sF6,complement(sF8)) = join(sF6,complement(meet(sF2,sF8))),
inference(forward_demodulation,[],[f298291,f3713]) ).
fof(f298291,plain,
join(sF6,complement(sF8)) = join(sF6,join(complement(sF2),complement(sF8))),
inference(forward_demodulation,[],[f298290,f9947]) ).
fof(f298290,plain,
join(sF6,complement(sF8)) = join(sF6,join(complement(sF8),complement(sF2))),
inference(forward_demodulation,[],[f298289,f3633]) ).
fof(f298289,plain,
join(sF6,complement(sF8)) = join(sF6,join(complement(sF8),meet(top,complement(sF2)))),
inference(forward_demodulation,[],[f298288,f142247]) ).
fof(f298288,plain,
join(sF6,complement(sF8)) = join(sF6,join(complement(sF8),meet(complement(sF2),top))),
inference(forward_demodulation,[],[f296393,f2]) ).
fof(f296393,plain,
join(sF6,complement(sF8)) = join(join(sF6,complement(sF8)),meet(complement(sF2),top)),
inference(superposition,[],[f224957,f54053]) ).
fof(f54053,plain,
top = join(sF2,join(sF6,complement(sF8))),
inference(forward_demodulation,[],[f54043,f2]) ).
fof(f54043,plain,
top = join(join(sF2,sF6),complement(sF8)),
inference(superposition,[],[f7383,f53911]) ).
fof(f1264122,plain,
complement(meet(sF5,sF6)) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1264121,f7434]) ).
fof(f1264121,plain,
complement(meet(sF6,sF5)) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1264120,f3713]) ).
fof(f1264120,plain,
join(complement(sF6),complement(sF5)) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1264119,f155682]) ).
fof(f1264119,plain,
join(complement(sF7),meet(sF6,complement(sF5))) = join(complement(sF6),meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1259060,f1]) ).
fof(f1259060,plain,
join(meet(sF6,complement(sF5)),complement(sF6)) = join(complement(sF7),meet(sF6,complement(sF5))),
inference(superposition,[],[f116448,f1249651]) ).
fof(f1249651,plain,
sF6 = join(sF7,meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1249650,f42466]) ).
fof(f42466,plain,
sF6 = join(sF6,sF7),
inference(forward_demodulation,[],[f42429,f3593]) ).
fof(f42429,plain,
complement(complement(sF6)) = join(sF6,sF7),
inference(superposition,[],[f3593,f41474]) ).
fof(f41474,plain,
complement(sF6) = complement(join(sF6,sF7)),
inference(backward_demodulation,[],[f14173,f41270]) ).
fof(f14173,plain,
complement(sF6) = meet(complement(sF6),complement(sF7)),
inference(superposition,[],[f3628,f14041]) ).
fof(f14041,plain,
complement(sF7) = join(sF3,complement(sF6)),
inference(superposition,[],[f7361,f56]) ).
fof(f1249650,plain,
join(sF6,sF7) = join(sF7,meet(sF6,complement(sF5))),
inference(forward_demodulation,[],[f1246213,f1]) ).
fof(f1246213,plain,
join(sF7,sF6) = join(sF7,meet(sF6,complement(sF5))),
inference(superposition,[],[f48106,f392622]) ).
fof(f392622,plain,
sF6 = join(meet(sF2,sF7),meet(sF6,complement(sF5))),
inference(superposition,[],[f3700,f392558]) ).
fof(f48106,plain,
! [X6,X4,X5] : join(X4,X6) = join(X4,join(meet(X5,X4),X6)),
inference(superposition,[],[f2,f47793]) ).
fof(f116448,plain,
! [X2,X1] : join(complement(X2),X1) = join(X1,complement(join(X2,X1))),
inference(backward_demodulation,[],[f41445,f116111]) ).
fof(f116111,plain,
! [X44,X45] : join(complement(X44),X45) = join(complement(X44),meet(X45,X44)),
inference(superposition,[],[f48241,f3593]) ).
fof(f41445,plain,
! [X2,X1] : join(X1,complement(join(X2,X1))) = join(complement(X2),meet(X1,X2)),
inference(backward_demodulation,[],[f35157,f41270]) ).
fof(f35157,plain,
! [X2,X1] : join(X1,meet(complement(X2),complement(X1))) = join(complement(X2),meet(X1,X2)),
inference(forward_demodulation,[],[f34641,f1]) ).
fof(f34641,plain,
! [X2,X1] : join(X1,meet(complement(X2),complement(X1))) = join(meet(X1,X2),complement(X2)),
inference(superposition,[],[f3699,f3700]) ).
fof(f1447324,plain,
sF7 = join(sF5,meet(sF7,complement(sF2))),
inference(backward_demodulation,[],[f124896,f1446663]) ).
fof(f124896,plain,
sF8 = join(sF5,meet(sF7,complement(sF2))),
inference(forward_demodulation,[],[f124868,f23]) ).
fof(f124868,plain,
join(sF5,sF7) = join(sF5,meet(sF7,complement(sF2))),
inference(superposition,[],[f48241,f123121]) ).
fof(f1854966,plain,
sF10 = tuple(sF5,sF5),
inference(backward_demodulation,[],[f1446666,f1852569]) ).
fof(f1446666,plain,
sF10 = tuple(sF7,sF7),
inference(backward_demodulation,[],[f30,f1446663]) ).
fof(f30,plain,
sF10 = tuple(sF8,sF8),
inference(backward_demodulation,[],[f25,f29]) ).
fof(f29,plain,
sF8 = sF9,
inference(forward_demodulation,[],[f28,f23]) ).
fof(f28,plain,
join(sF5,sF7) = sF9,
inference(backward_demodulation,[],[f24,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL016-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : n018.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 20:43:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.cHELjwGmDu/Vampire---4.8_4928
% 0.15/0.37 % (5176)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5182)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.22/0.43 % (5178)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.22/0.43 % (5180)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.22/0.43 % (5190)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.22/0.43 % (5184)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (5183)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.22/0.43 % (5187)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 226.35/32.59 % (5182)First to succeed.
% 226.70/32.64 % (5182)Refutation found. Thanks to Tanya!
% 226.70/32.64 % SZS status Unsatisfiable for Vampire---4
% 226.70/32.64 % SZS output start Proof for Vampire---4
% See solution above
% 226.70/32.65 % (5182)------------------------------
% 226.70/32.65 % (5182)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 226.70/32.65 % (5182)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 226.70/32.65 % (5182)Termination reason: Refutation
% 226.70/32.65
% 226.70/32.65 % (5182)Memory used [KB]: 1256909
% 226.70/32.65 % (5182)Time elapsed: 32.186 s
% 226.70/32.65 % (5182)------------------------------
% 226.70/32.65 % (5182)------------------------------
% 226.70/32.65 % (5176)Success in time 32.088 s
% 226.70/32.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------