TSTP Solution File: REL035-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL035-2 : 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 : n024.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 13:46:02 EDT 2023
% Result : Unsatisfiable 6.00s 1.22s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 23
% Syntax : Number of formulae : 235 ( 235 unt; 0 def)
% Number of atoms : 235 ( 234 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 : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 258 (; 258 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62034,plain,
$false,
inference(subsumption_resolution,[],[f62033,f26]) ).
fof(f26,plain,
sF4 != sF5,
inference(definition_folding,[],[f18,f25,f23,f24,f23,f22,f21]) ).
fof(f21,plain,
converse(sk1) = sF1,
introduced(function_definition,[]) ).
fof(f22,plain,
meet(sk2,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f24,plain,
composition(sF2,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f23,plain,
meet(sk1,sk3) = sF3,
introduced(function_definition,[]) ).
fof(f25,plain,
composition(sk2,sF3) = sF5,
introduced(function_definition,[]) ).
fof(f18,axiom,
composition(meet(sk2,converse(sk1)),meet(sk1,sk3)) != composition(sk2,meet(sk1,sk3)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',goals_18) ).
fof(f62033,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f62032,f2332]) ).
fof(f2332,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f2331,f41]) ).
fof(f41,plain,
zero = complement(top),
inference(forward_demodulation,[],[f36,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',def_zero_13) ).
fof(f36,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.tMLMVDFaWH/Vampire---4.8_10737',def_top_12) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',maddux4_definiton_of_meet_4) ).
fof(f2331,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f2330,f12]) ).
fof(f2330,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f2329,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',maddux1_join_commutativity_1) ).
fof(f2329,plain,
! [X0] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f31,f2252]) ).
fof(f2252,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f1300,f2210]) ).
fof(f2210,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1705,f1300]) ).
fof(f1705,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f1646]) ).
fof(f1646,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f1645,f41]) ).
fof(f1645,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[],[f1644,f1]) ).
fof(f1644,plain,
zero = join(complement(top),zero),
inference(forward_demodulation,[],[f1643,f1638]) ).
fof(f1638,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f1637,f41]) ).
fof(f1637,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(forward_demodulation,[],[f1624,f1428]) ).
fof(f1428,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f1416,f1]) ).
fof(f1416,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f913,f1414]) ).
fof(f1414,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1403,f49]) ).
fof(f49,plain,
top = join(top,zero),
inference(superposition,[],[f12,f41]) ).
fof(f1403,plain,
! [X0] : join(top,zero) = join(top,complement(X0)),
inference(superposition,[],[f1326,f13]) ).
fof(f1326,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1325,f848]) ).
fof(f848,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1325,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1296,f1]) ).
fof(f1296,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[],[f910,f31]) ).
fof(f910,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f848,f1]) ).
fof(f913,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f848,f12]) ).
fof(f1624,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f1620]) ).
fof(f1620,plain,
top = complement(zero),
inference(backward_demodulation,[],[f1381,f1615]) ).
fof(f1615,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f1497,f42]) ).
fof(f42,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f37,f4]) ).
fof(f37,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f4,f1]) ).
fof(f1497,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1496,f41]) ).
fof(f1496,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1439,f1]) ).
fof(f1439,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f31,f1416]) ).
fof(f1381,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f1322,f41]) ).
fof(f1322,plain,
! [X12] : join(zero,meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1321,f41]) ).
fof(f1321,plain,
! [X12] : join(complement(top),meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1293,f1]) ).
fof(f1293,plain,
! [X12] : join(meet(X12,complement(complement(X12))),complement(top)) = X12,
inference(superposition,[],[f31,f12]) ).
fof(f1643,plain,
! [X2] : zero = join(complement(top),meet(zero,X2)),
inference(forward_demodulation,[],[f1642,f1]) ).
fof(f1642,plain,
! [X2] : zero = join(meet(zero,X2),complement(top)),
inference(forward_demodulation,[],[f1628,f1428]) ).
fof(f1628,plain,
! [X2] : zero = join(meet(zero,X2),complement(join(top,X2))),
inference(superposition,[],[f31,f1620]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',maddux2_join_associativity_2) ).
fof(f1300,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f1274,f4]) ).
fof(f1274,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f31,f13]) ).
fof(f31,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f30,f1]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f29,f4]) ).
fof(f29,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.tMLMVDFaWH/Vampire---4.8_10737',maddux3_a_kind_of_de_Morgan_3) ).
fof(f62032,plain,
sF4 = join(sF5,zero),
inference(forward_demodulation,[],[f62031,f2332]) ).
fof(f62031,plain,
join(sF5,zero) = join(sF4,zero),
inference(forward_demodulation,[],[f62030,f20650]) ).
fof(f20650,plain,
zero = composition(complement(sF1),sF3),
inference(forward_demodulation,[],[f20649,f2309]) ).
fof(f2309,plain,
! [X12] : meet(X12,top) = X12,
inference(forward_demodulation,[],[f2308,f2270]) ).
fof(f2270,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f2269,f4]) ).
fof(f2269,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f2237,f2210]) ).
fof(f2237,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f1307,f2210]) ).
fof(f1307,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f1306,f2]) ).
fof(f1306,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(join(zero,complement(X5)),complement(meet(X5,top))))),
inference(forward_demodulation,[],[f1278,f1]) ).
fof(f1278,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f31,f68]) ).
fof(f68,plain,
! [X4] : zero = meet(meet(X4,top),join(zero,complement(X4))),
inference(forward_demodulation,[],[f58,f42]) ).
fof(f58,plain,
! [X4] : zero = meet(join(zero,complement(X4)),meet(X4,top)),
inference(superposition,[],[f13,f50]) ).
fof(f50,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f41]) ).
fof(f2308,plain,
! [X12] : meet(X12,meet(X12,top)) = X12,
inference(forward_demodulation,[],[f2262,f2244]) ).
fof(f2244,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f50,f2210]) ).
fof(f2262,plain,
! [X12] : meet(X12,complement(complement(X12))) = X12,
inference(backward_demodulation,[],[f1322,f2210]) ).
fof(f20649,plain,
zero = meet(composition(complement(sF1),sF3),top),
inference(forward_demodulation,[],[f20648,f2332]) ).
fof(f20648,plain,
zero = join(meet(composition(complement(sF1),sF3),top),zero),
inference(forward_demodulation,[],[f20632,f5552]) ).
fof(f5552,plain,
! [X9] : zero = composition(zero,X9),
inference(forward_demodulation,[],[f5531,f2439]) ).
fof(f2439,plain,
zero = converse(zero),
inference(superposition,[],[f2378,f2210]) ).
fof(f2378,plain,
! [X12] : join(X12,converse(zero)) = X12,
inference(forward_demodulation,[],[f2368,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',converse_idempotence_8) ).
fof(f2368,plain,
! [X12] : join(X12,converse(zero)) = converse(converse(X12)),
inference(superposition,[],[f81,f2332]) ).
fof(f81,plain,
! [X2,X1] : converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',converse_additivity_9) ).
fof(f5531,plain,
! [X9] : converse(zero) = composition(converse(zero),X9),
inference(superposition,[],[f214,f5467]) ).
fof(f5467,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f5466,f5439]) ).
fof(f5439,plain,
zero = composition(top,zero),
inference(superposition,[],[f1537,f5433]) ).
fof(f5433,plain,
zero = composition(sF1,complement(sk1)),
inference(forward_demodulation,[],[f5432,f2210]) ).
fof(f5432,plain,
zero = join(zero,composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f5431,f41]) ).
fof(f5431,plain,
complement(top) = join(complement(top),composition(sF1,complement(sk1))),
inference(forward_demodulation,[],[f5378,f21]) ).
fof(f5378,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f28,f27]) ).
fof(f27,plain,
sk1 = composition(sk1,top),
inference(backward_demodulation,[],[f19,f20]) ).
fof(f20,plain,
sk1 = sF0,
inference(definition_folding,[],[f17,f19]) ).
fof(f17,axiom,
sk1 = composition(sk1,top),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',goals_17) ).
fof(f19,plain,
composition(sk1,top) = sF0,
introduced(function_definition,[]) ).
fof(f28,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.tMLMVDFaWH/Vampire---4.8_10737',converse_cancellativity_11) ).
fof(f1537,plain,
! [X11] : composition(sF1,X11) = composition(top,composition(sF1,X11)),
inference(backward_demodulation,[],[f1240,f1504]) ).
fof(f1504,plain,
top = converse(top),
inference(forward_demodulation,[],[f1441,f1482]) ).
fof(f1482,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f914,f1428]) ).
fof(f914,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f848,f303]) ).
fof(f303,plain,
! [X2] : converse(top) = join(X2,converse(complement(converse(X2)))),
inference(superposition,[],[f81,f12]) ).
fof(f1441,plain,
converse(top) = join(one,converse(top)),
inference(superposition,[],[f626,f1416]) ).
fof(f626,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f9,f611]) ).
fof(f611,plain,
one = converse(one),
inference(superposition,[],[f595,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',composition_identity_6) ).
fof(f595,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f556,f8]) ).
fof(f556,plain,
! [X2] : converse(converse(X2)) = composition(converse(one),X2),
inference(superposition,[],[f214,f6]) ).
fof(f1240,plain,
! [X11] : composition(sF1,X11) = composition(converse(top),composition(sF1,X11)),
inference(superposition,[],[f5,f243]) ).
fof(f243,plain,
sF1 = composition(converse(top),sF1),
inference(forward_demodulation,[],[f234,f21]) ).
fof(f234,plain,
converse(sk1) = composition(converse(top),sF1),
inference(superposition,[],[f215,f27]) ).
fof(f215,plain,
! [X16] : converse(composition(sk1,X16)) = composition(converse(X16),sF1),
inference(superposition,[],[f10,f21]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',converse_multiplicativity_10) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',composition_associativity_5) ).
fof(f5466,plain,
! [X0] : composition(X0,zero) = composition(top,zero),
inference(forward_demodulation,[],[f5465,f1416]) ).
fof(f5465,plain,
! [X0] : composition(X0,zero) = composition(join(X0,top),zero),
inference(forward_demodulation,[],[f5456,f2332]) ).
fof(f5456,plain,
! [X0] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(superposition,[],[f7,f5439]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',composition_distributivity_7) ).
fof(f214,plain,
! [X14,X15] : converse(composition(converse(X14),X15)) = composition(converse(X15),X14),
inference(superposition,[],[f10,f8]) ).
fof(f20632,plain,
composition(zero,meet(sF3,composition(converse(complement(sF1)),top))) = join(meet(composition(complement(sF1),sF3),top),composition(zero,meet(sF3,composition(converse(complement(sF1)),top)))),
inference(superposition,[],[f14,f20201]) ).
fof(f20201,plain,
zero = meet(complement(sF1),composition(top,converse(sF3))),
inference(forward_demodulation,[],[f20191,f42]) ).
fof(f20191,plain,
zero = meet(composition(top,converse(sF3)),complement(sF1)),
inference(superposition,[],[f8003,f20119]) ).
fof(f20119,plain,
sF1 = join(sF1,composition(top,converse(sF3))),
inference(forward_demodulation,[],[f20118,f21]) ).
fof(f20118,plain,
converse(sk1) = join(sF1,composition(top,converse(sF3))),
inference(forward_demodulation,[],[f20101,f1560]) ).
fof(f1560,plain,
! [X3] : converse(composition(X3,top)) = composition(top,converse(X3)),
inference(superposition,[],[f10,f1504]) ).
fof(f20101,plain,
converse(sk1) = join(sF1,converse(composition(sF3,top))),
inference(superposition,[],[f80,f20026]) ).
fof(f20026,plain,
sk1 = join(sk1,composition(sF3,top)),
inference(forward_demodulation,[],[f19925,f27]) ).
fof(f19925,plain,
composition(sk1,top) = join(sk1,composition(sF3,top)),
inference(superposition,[],[f2841,f11530]) ).
fof(f11530,plain,
sk1 = join(sk1,sF3),
inference(forward_demodulation,[],[f11413,f1]) ).
fof(f11413,plain,
sk1 = join(sF3,sk1),
inference(superposition,[],[f10856,f1312]) ).
fof(f1312,plain,
sk1 = join(sF3,complement(join(sk3,complement(sk1)))),
inference(forward_demodulation,[],[f1281,f1]) ).
fof(f1281,plain,
sk1 = join(sF3,complement(join(complement(sk1),sk3))),
inference(superposition,[],[f31,f23]) ).
fof(f10856,plain,
! [X2,X3] : join(X2,X3) = join(X2,join(X2,X3)),
inference(superposition,[],[f2,f10826]) ).
fof(f10826,plain,
! [X33] : join(X33,X33) = X33,
inference(backward_demodulation,[],[f8305,f10825]) ).
fof(f10825,plain,
! [X27] : meet(X27,composition(top,X27)) = X27,
inference(forward_demodulation,[],[f10802,f2311]) ).
fof(f2311,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f2244,f2309]) ).
fof(f10802,plain,
! [X27] : meet(X27,composition(top,X27)) = complement(complement(X27)),
inference(superposition,[],[f2311,f10760]) ).
fof(f10760,plain,
! [X49] : complement(X49) = complement(meet(X49,composition(top,X49))),
inference(forward_demodulation,[],[f10759,f2292]) ).
fof(f2292,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[],[f2256,f2253]) ).
fof(f2253,plain,
! [X0] : meet(top,X0) = X0,
inference(backward_demodulation,[],[f1615,f2210]) ).
fof(f2256,plain,
! [X0,X1] : meet(top,join(complement(X0),complement(X1))) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f60,f2210]) ).
fof(f60,plain,
! [X0,X1] : complement(join(zero,meet(X0,X1))) = meet(top,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f52,f42]) ).
fof(f52,plain,
! [X0,X1] : meet(join(complement(X0),complement(X1)),top) = complement(join(zero,meet(X0,X1))),
inference(superposition,[],[f50,f4]) ).
fof(f10759,plain,
! [X49] : complement(X49) = join(complement(X49),complement(composition(top,X49))),
inference(backward_demodulation,[],[f5368,f10755]) ).
fof(f10755,plain,
! [X4] : complement(composition(top,X4)) = composition(top,complement(composition(top,X4))),
inference(forward_demodulation,[],[f10754,f1416]) ).
fof(f10754,plain,
! [X4] : complement(composition(top,X4)) = composition(join(one,top),complement(composition(top,X4))),
inference(forward_demodulation,[],[f10753,f1504]) ).
fof(f10753,plain,
! [X4] : complement(composition(top,X4)) = composition(join(one,converse(top)),complement(composition(top,X4))),
inference(forward_demodulation,[],[f10745,f2837]) ).
fof(f2837,plain,
! [X6,X7] : composition(join(one,X7),X6) = join(X6,composition(X7,X6)),
inference(superposition,[],[f7,f618]) ).
fof(f618,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f595,f611]) ).
fof(f10745,plain,
! [X4] : complement(composition(top,X4)) = join(complement(composition(top,X4)),composition(converse(top),complement(composition(top,X4)))),
inference(superposition,[],[f28,f6749]) ).
fof(f6749,plain,
! [X2] : composition(top,X2) = composition(top,composition(top,X2)),
inference(superposition,[],[f5,f6694]) ).
fof(f6694,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f6678,f2332]) ).
fof(f6678,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f12,f6627]) ).
fof(f6627,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f6622,f618]) ).
fof(f6622,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f6621,f6532]) ).
fof(f6532,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f5398,f1504]) ).
fof(f5398,plain,
! [X1] : zero = composition(converse(X1),complement(composition(X1,top))),
inference(forward_demodulation,[],[f5344,f2210]) ).
fof(f5344,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(superposition,[],[f28,f41]) ).
fof(f6621,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f6620,f1416]) ).
fof(f6620,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f6610,f2332]) ).
fof(f6610,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f7,f6532]) ).
fof(f5368,plain,
! [X49] : complement(X49) = join(complement(X49),composition(top,complement(composition(top,X49)))),
inference(superposition,[],[f28,f1504]) ).
fof(f8305,plain,
! [X33] : meet(X33,composition(top,X33)) = join(X33,meet(X33,composition(top,X33))),
inference(forward_demodulation,[],[f8304,f2253]) ).
fof(f8304,plain,
! [X33] : meet(X33,composition(top,X33)) = join(meet(top,X33),meet(X33,composition(top,X33))),
inference(forward_demodulation,[],[f8303,f6749]) ).
fof(f8303,plain,
! [X33] : meet(X33,composition(top,composition(top,X33))) = join(meet(top,X33),meet(X33,composition(top,composition(top,X33)))),
inference(forward_demodulation,[],[f8302,f1504]) ).
fof(f8302,plain,
! [X33] : meet(X33,composition(top,composition(converse(top),X33))) = join(meet(top,X33),meet(X33,composition(top,composition(converse(top),X33)))),
inference(forward_demodulation,[],[f8301,f2253]) ).
fof(f8301,plain,
! [X33] : meet(X33,composition(top,meet(top,composition(converse(top),X33)))) = join(meet(top,X33),meet(X33,composition(top,meet(top,composition(converse(top),X33))))),
inference(forward_demodulation,[],[f8175,f42]) ).
fof(f8175,plain,
! [X33] : meet(composition(top,meet(top,composition(converse(top),X33))),X33) = join(meet(top,X33),meet(composition(top,meet(top,composition(converse(top),X33))),X33)),
inference(superposition,[],[f15,f6694]) ).
fof(f15,axiom,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',modular_law_1_15) ).
fof(f2841,plain,
! [X14] : composition(join(sk1,X14),top) = join(sk1,composition(X14,top)),
inference(superposition,[],[f7,f27]) ).
fof(f80,plain,
! [X0] : converse(join(sk1,X0)) = join(sF1,converse(X0)),
inference(superposition,[],[f9,f21]) ).
fof(f8003,plain,
! [X8,X7] : zero = meet(X7,complement(join(X8,X7))),
inference(forward_demodulation,[],[f7941,f42]) ).
fof(f7941,plain,
! [X8,X7] : zero = meet(complement(join(X8,X7)),X7),
inference(superposition,[],[f7554,f2315]) ).
fof(f2315,plain,
! [X10,X11] : meet(X10,join(X11,X10)) = X10,
inference(backward_demodulation,[],[f2305,f2309]) ).
fof(f2305,plain,
! [X10,X11] : meet(X10,join(X11,meet(X10,top))) = X10,
inference(forward_demodulation,[],[f2260,f2244]) ).
fof(f2260,plain,
! [X10,X11] : meet(X10,join(X11,complement(complement(X10)))) = X10,
inference(backward_demodulation,[],[f1491,f2210]) ).
fof(f1491,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1470,f41]) ).
fof(f1470,plain,
! [X10,X11] : join(complement(top),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(backward_demodulation,[],[f1320,f1428]) ).
fof(f1320,plain,
! [X10,X11] : join(complement(join(top,X11)),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1292,f1]) ).
fof(f1292,plain,
! [X10,X11] : join(meet(X10,join(X11,complement(complement(X10)))),complement(join(top,X11))) = X10,
inference(superposition,[],[f31,f910]) ).
fof(f7554,plain,
! [X2,X1] : zero = meet(complement(X1),meet(X2,X1)),
inference(superposition,[],[f7477,f42]) ).
fof(f7477,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f7438,f2311]) ).
fof(f7438,plain,
! [X16,X17] : zero = meet(X16,meet(complement(X16),X17)),
inference(forward_demodulation,[],[f7437,f2253]) ).
fof(f7437,plain,
! [X16,X17] : zero = meet(top,meet(X16,meet(complement(X16),X17))),
inference(forward_demodulation,[],[f7398,f42]) ).
fof(f7398,plain,
! [X16,X17] : zero = meet(meet(X16,meet(complement(X16),X17)),top),
inference(superposition,[],[f13,f5196]) ).
fof(f5196,plain,
! [X10,X9] : top = complement(meet(X9,meet(complement(X9),X10))),
inference(superposition,[],[f5101,f2292]) ).
fof(f5101,plain,
! [X3,X4] : top = join(X3,complement(meet(X3,X4))),
inference(superposition,[],[f1445,f2292]) ).
fof(f1445,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f848,f1428]) ).
fof(f14,axiom,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
file('/export/starexec/sandbox2/tmp/tmp.tMLMVDFaWH/Vampire---4.8_10737',dedekind_law_14) ).
fof(f62030,plain,
join(sF4,composition(complement(sF1),sF3)) = join(sF5,composition(complement(sF1),sF3)),
inference(forward_demodulation,[],[f61971,f2843]) ).
fof(f2843,plain,
! [X17] : composition(join(sk2,X17),sF3) = join(sF5,composition(X17,sF3)),
inference(superposition,[],[f7,f25]) ).
fof(f61971,plain,
join(sF4,composition(complement(sF1),sF3)) = composition(join(sk2,complement(sF1)),sF3),
inference(superposition,[],[f2845,f55622]) ).
fof(f55622,plain,
join(sF2,complement(sF1)) = join(sk2,complement(sF1)),
inference(forward_demodulation,[],[f55621,f11553]) ).
fof(f11553,plain,
! [X1] : join(sk2,X1) = join(sk2,join(sF2,X1)),
inference(superposition,[],[f2,f11523]) ).
fof(f11523,plain,
sk2 = join(sk2,sF2),
inference(forward_demodulation,[],[f11406,f1]) ).
fof(f11406,plain,
sk2 = join(sF2,sk2),
inference(superposition,[],[f10856,f1313]) ).
fof(f1313,plain,
sk2 = join(sF2,complement(join(sF1,complement(sk2)))),
inference(forward_demodulation,[],[f1282,f1]) ).
fof(f1282,plain,
sk2 = join(sF2,complement(join(complement(sk2),sF1))),
inference(superposition,[],[f31,f22]) ).
fof(f55621,plain,
join(sF2,complement(sF1)) = join(sk2,join(sF2,complement(sF1))),
inference(forward_demodulation,[],[f55601,f46462]) ).
fof(f46462,plain,
! [X14,X13] : join(X14,X13) = join(X14,meet(X13,complement(X14))),
inference(forward_demodulation,[],[f46461,f40175]) ).
fof(f40175,plain,
! [X65,X66,X67] : join(X65,join(X67,meet(X65,X66))) = join(X67,X65),
inference(superposition,[],[f875,f11514]) ).
fof(f11514,plain,
! [X44,X45] : join(X44,meet(X44,X45)) = X44,
inference(forward_demodulation,[],[f11330,f1]) ).
fof(f11330,plain,
! [X44,X45] : join(meet(X44,X45),X44) = X44,
inference(superposition,[],[f10856,f31]) ).
fof(f875,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f849,f2]) ).
fof(f849,plain,
! [X2,X3,X4] : join(join(X3,X2),X4) = join(X2,join(X3,X4)),
inference(superposition,[],[f2,f1]) ).
fof(f46461,plain,
! [X14,X13] : join(X14,meet(X13,complement(X14))) = join(X13,join(X14,meet(X13,complement(X14)))),
inference(forward_demodulation,[],[f46460,f40889]) ).
fof(f40889,plain,
! [X40,X39] : join(X40,X39) = join(X40,meet(complement(X40),X39)),
inference(backward_demodulation,[],[f39654,f40176]) ).
fof(f40176,plain,
! [X70,X68,X69] : join(X70,X68) = join(X68,join(X70,meet(X69,X68))),
inference(superposition,[],[f875,f11519]) ).
fof(f11519,plain,
! [X48,X49] : join(X49,meet(X48,X49)) = X49,
inference(forward_demodulation,[],[f11332,f1]) ).
fof(f11332,plain,
! [X48,X49] : join(meet(X48,X49),X49) = X49,
inference(superposition,[],[f10856,f3951]) ).
fof(f3951,plain,
! [X2,X1] : join(meet(X2,X1),meet(X1,complement(X2))) = X1,
inference(superposition,[],[f1324,f42]) ).
fof(f1324,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f1295,f1]) ).
fof(f1295,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f31,f4]) ).
fof(f39654,plain,
! [X40,X39] : join(X40,meet(complement(X40),X39)) = join(X39,join(X40,meet(complement(X40),X39))),
inference(forward_demodulation,[],[f39478,f1]) ).
fof(f39478,plain,
! [X40,X39] : join(X40,meet(complement(X40),X39)) = join(join(X40,meet(complement(X40),X39)),X39),
inference(superposition,[],[f11519,f37691]) ).
fof(f37691,plain,
! [X8,X9] : meet(X8,join(X9,meet(complement(X9),X8))) = X8,
inference(backward_demodulation,[],[f2258,f37553]) ).
fof(f37553,plain,
! [X56,X57] : meet(complement(X56),X57) = complement(join(X56,complement(X57))),
inference(superposition,[],[f2311,f5093]) ).
fof(f5093,plain,
! [X2,X3] : join(X2,complement(X3)) = complement(meet(complement(X2),X3)),
inference(superposition,[],[f2292,f2311]) ).
fof(f2258,plain,
! [X8,X9] : meet(X8,join(X9,complement(join(X9,complement(X8))))) = X8,
inference(backward_demodulation,[],[f1319,f2210]) ).
fof(f1319,plain,
! [X8,X9] : join(zero,meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f1318,f41]) ).
fof(f1318,plain,
! [X8,X9] : join(complement(top),meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f1291,f1]) ).
fof(f1291,plain,
! [X8,X9] : join(meet(X8,join(X9,complement(join(X9,complement(X8))))),complement(top)) = X8,
inference(superposition,[],[f31,f951]) ).
fof(f951,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X1,X0)))),
inference(superposition,[],[f861,f1]) ).
fof(f861,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f2,f12]) ).
fof(f46460,plain,
! [X14,X13] : join(X14,meet(X13,complement(X14))) = join(X13,meet(complement(X13),join(X14,meet(X13,complement(X14))))),
inference(forward_demodulation,[],[f46349,f42]) ).
fof(f46349,plain,
! [X14,X13] : join(X14,meet(X13,complement(X14))) = join(X13,meet(join(X14,meet(X13,complement(X14))),complement(X13))),
inference(superposition,[],[f3951,f39425]) ).
fof(f39425,plain,
! [X31,X32] : meet(X32,join(X31,meet(X32,complement(X31)))) = X32,
inference(superposition,[],[f37691,f42]) ).
fof(f55601,plain,
join(sF2,complement(sF1)) = join(sk2,meet(join(sF2,complement(sF1)),complement(sk2))),
inference(superposition,[],[f3951,f55361]) ).
fof(f55361,plain,
sk2 = meet(sk2,join(sF2,complement(sF1))),
inference(forward_demodulation,[],[f54989,f1]) ).
fof(f54989,plain,
sk2 = meet(sk2,join(complement(sF1),sF2)),
inference(superposition,[],[f45126,f22]) ).
fof(f45126,plain,
! [X2,X1] : meet(X2,join(complement(X1),meet(X2,X1))) = X2,
inference(superposition,[],[f39379,f42]) ).
fof(f39379,plain,
! [X0,X1] : meet(X1,join(complement(X0),meet(X0,X1))) = X1,
inference(superposition,[],[f37691,f2311]) ).
fof(f2845,plain,
! [X20] : composition(join(sF2,X20),sF3) = join(sF4,composition(X20,sF3)),
inference(superposition,[],[f7,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : REL035-2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.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 21:53:09 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 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.tMLMVDFaWH/Vampire---4.8_10737
% 0.15/0.37 % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (10909)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.21/0.43 % (10908)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)
% 0.21/0.43 % (10913)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)
% 0.21/0.43 % (10912)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)
% 0.21/0.43 % (10910)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.21/0.43 % (10911)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)
% 0.21/0.43 % (10914)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)
% 6.00/1.22 % (10913)First to succeed.
% 6.00/1.22 % (10913)Refutation found. Thanks to Tanya!
% 6.00/1.22 % SZS status Unsatisfiable for Vampire---4
% 6.00/1.22 % SZS output start Proof for Vampire---4
% See solution above
% 6.00/1.22 % (10913)------------------------------
% 6.00/1.22 % (10913)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.00/1.22 % (10913)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.00/1.22 % (10913)Termination reason: Refutation
% 6.00/1.22
% 6.00/1.22 % (10913)Memory used [KB]: 37867
% 6.00/1.22 % (10913)Time elapsed: 0.790 s
% 6.00/1.22 % (10913)------------------------------
% 6.00/1.22 % (10913)------------------------------
% 6.00/1.22 % (10904)Success in time 0.849 s
% 6.00/1.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------