TSTP Solution File: REL019-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL019-1 : 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:45:00 EDT 2023
% Result : Unsatisfiable 4.36s 1.02s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 20
% Syntax : Number of formulae : 332 ( 332 unt; 0 def)
% Number of atoms : 332 ( 331 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 : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 338 (; 338 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48439,plain,
$false,
inference(subsumption_resolution,[],[f48438,f23]) ).
fof(f23,plain,
sF2 != sF3,
inference(definition_folding,[],[f16,f22,f21,f21]) ).
fof(f21,plain,
meet(sk1,sk2) = sF2,
introduced(function_definition,[]) ).
fof(f22,plain,
composition(sF2,top) = sF3,
introduced(function_definition,[]) ).
fof(f16,axiom,
meet(sk1,sk2) != composition(meet(sk1,sk2),top),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',goals_16) ).
fof(f48438,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f48437,f13671]) ).
fof(f13671,plain,
! [X5] : join(X5,X5) = X5,
inference(forward_demodulation,[],[f13582,f1603]) ).
fof(f1603,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f1554,f1601]) ).
fof(f1601,plain,
! [X12] : meet(X12,top) = X12,
inference(forward_demodulation,[],[f1600,f1580]) ).
fof(f1580,plain,
! [X5] : meet(X5,top) = meet(X5,meet(X5,top)),
inference(forward_demodulation,[],[f1579,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',maddux4_definiton_of_meet_4) ).
fof(f1579,plain,
! [X5] : meet(X5,top) = complement(join(complement(X5),complement(meet(X5,top)))),
inference(forward_demodulation,[],[f1547,f1520]) ).
fof(f1520,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1273,f888]) ).
fof(f888,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f863,f4]) ).
fof(f863,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f29,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',def_zero_13) ).
fof(f29,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f28,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',maddux1_join_commutativity_1) ).
fof(f28,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f27,f4]) ).
fof(f27,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',maddux3_a_kind_of_de_Morgan_3) ).
fof(f1273,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f2,f1214]) ).
fof(f1214,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f1213,f37]) ).
fof(f37,plain,
zero = complement(top),
inference(forward_demodulation,[],[f32,f13]) ).
fof(f32,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',def_top_12) ).
fof(f1213,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[],[f1212,f1]) ).
fof(f1212,plain,
zero = join(complement(top),zero),
inference(forward_demodulation,[],[f1211,f1206]) ).
fof(f1206,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f1205,f37]) ).
fof(f1205,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(forward_demodulation,[],[f1192,f998]) ).
fof(f998,plain,
! [X1] : top = join(top,X1),
inference(superposition,[],[f986,f1]) ).
fof(f986,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f531,f984]) ).
fof(f984,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f974,f45]) ).
fof(f45,plain,
top = join(top,zero),
inference(superposition,[],[f12,f37]) ).
fof(f974,plain,
! [X0] : join(top,zero) = join(top,complement(X0)),
inference(superposition,[],[f913,f13]) ).
fof(f913,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f912,f470]) ).
fof(f470,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f912,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f884,f1]) ).
fof(f884,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[],[f528,f29]) ).
fof(f528,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f470,f1]) ).
fof(f531,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f470,f12]) ).
fof(f1192,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f1133]) ).
fof(f1133,plain,
top = complement(zero),
inference(backward_demodulation,[],[f952,f1128]) ).
fof(f1128,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f1059,f38]) ).
fof(f38,plain,
! [X2,X1] : meet(X1,X2) = meet(X2,X1),
inference(forward_demodulation,[],[f33,f4]) ).
fof(f33,plain,
! [X2,X1] : meet(X1,X2) = complement(join(complement(X2),complement(X1))),
inference(superposition,[],[f4,f1]) ).
fof(f1059,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1058,f37]) ).
fof(f1058,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1009,f1]) ).
fof(f1009,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f29,f986]) ).
fof(f952,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f909,f37]) ).
fof(f909,plain,
! [X12] : join(zero,meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f908,f37]) ).
fof(f908,plain,
! [X12] : join(complement(top),meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f881,f1]) ).
fof(f881,plain,
! [X12] : join(meet(X12,complement(complement(X12))),complement(top)) = X12,
inference(superposition,[],[f29,f12]) ).
fof(f1211,plain,
! [X2] : zero = join(complement(top),meet(zero,X2)),
inference(forward_demodulation,[],[f1210,f1]) ).
fof(f1210,plain,
! [X2] : zero = join(meet(zero,X2),complement(top)),
inference(forward_demodulation,[],[f1196,f998]) ).
fof(f1196,plain,
! [X2] : zero = join(meet(zero,X2),complement(join(top,X2))),
inference(superposition,[],[f29,f1133]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',maddux2_join_associativity_2) ).
fof(f1547,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(X5),complement(meet(X5,top))))),
inference(backward_demodulation,[],[f895,f1520]) ).
fof(f895,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(zero,join(complement(X5),complement(meet(X5,top)))))),
inference(forward_demodulation,[],[f894,f2]) ).
fof(f894,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(join(zero,complement(X5)),complement(meet(X5,top))))),
inference(forward_demodulation,[],[f867,f1]) ).
fof(f867,plain,
! [X5] : meet(X5,top) = join(zero,complement(join(complement(meet(X5,top)),join(zero,complement(X5))))),
inference(superposition,[],[f29,f64]) ).
fof(f64,plain,
! [X4] : zero = meet(meet(X4,top),join(zero,complement(X4))),
inference(forward_demodulation,[],[f54,f38]) ).
fof(f54,plain,
! [X4] : zero = meet(join(zero,complement(X4)),meet(X4,top)),
inference(superposition,[],[f13,f46]) ).
fof(f46,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f42,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f37]) ).
fof(f1600,plain,
! [X12] : meet(X12,meet(X12,top)) = X12,
inference(forward_demodulation,[],[f1570,f1554]) ).
fof(f1570,plain,
! [X12] : meet(X12,complement(complement(X12))) = X12,
inference(backward_demodulation,[],[f909,f1520]) ).
fof(f1554,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f46,f1520]) ).
fof(f13582,plain,
! [X5] : complement(complement(X5)) = join(X5,complement(complement(X5))),
inference(superposition,[],[f6047,f1562]) ).
fof(f1562,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f888,f1520]) ).
fof(f6047,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f1615,f1603]) ).
fof(f1615,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f1565,f1611]) ).
fof(f1611,plain,
! [X1] : meet(top,X1) = X1,
inference(forward_demodulation,[],[f1572,f1582]) ).
fof(f1582,plain,
! [X6] : meet(top,X6) = meet(X6,meet(top,X6)),
inference(forward_demodulation,[],[f1581,f4]) ).
fof(f1581,plain,
! [X6] : meet(top,X6) = complement(join(complement(X6),complement(meet(top,X6)))),
inference(forward_demodulation,[],[f1548,f1520]) ).
fof(f1548,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(complement(X6),complement(meet(top,X6))))),
inference(backward_demodulation,[],[f897,f1520]) ).
fof(f897,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(zero,join(complement(X6),complement(meet(top,X6)))))),
inference(forward_demodulation,[],[f896,f2]) ).
fof(f896,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(join(zero,complement(X6)),complement(meet(top,X6))))),
inference(forward_demodulation,[],[f868,f1]) ).
fof(f868,plain,
! [X6] : meet(top,X6) = join(zero,complement(join(complement(meet(top,X6)),join(zero,complement(X6))))),
inference(superposition,[],[f29,f384]) ).
fof(f384,plain,
! [X0] : zero = meet(meet(top,X0),join(zero,complement(X0))),
inference(superposition,[],[f64,f38]) ).
fof(f1572,plain,
! [X1] : meet(X1,meet(top,X1)) = X1,
inference(backward_demodulation,[],[f1515,f1520]) ).
fof(f1515,plain,
! [X1] : join(zero,meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f1514,f37]) ).
fof(f1514,plain,
! [X1] : join(complement(top),meet(X1,meet(top,X1))) = X1,
inference(forward_demodulation,[],[f1502,f1]) ).
fof(f1502,plain,
! [X1] : join(meet(X1,meet(top,X1)),complement(top)) = X1,
inference(superposition,[],[f29,f1470]) ).
fof(f1470,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(superposition,[],[f1464,f38]) ).
fof(f1464,plain,
! [X4] : top = join(complement(X4),meet(X4,top)),
inference(forward_demodulation,[],[f1463,f46]) ).
fof(f1463,plain,
! [X4] : top = join(complement(X4),complement(join(zero,complement(X4)))),
inference(forward_demodulation,[],[f1462,f1273]) ).
fof(f1462,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(zero,complement(X4))))),
inference(forward_demodulation,[],[f1461,f37]) ).
fof(f1461,plain,
! [X4] : top = join(complement(X4),complement(join(zero,join(complement(top),complement(X4))))),
inference(forward_demodulation,[],[f1452,f493]) ).
fof(f493,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f471,f2]) ).
fof(f471,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f2,f1]) ).
fof(f1452,plain,
! [X4] : top = join(complement(X4),complement(join(complement(top),join(zero,complement(X4))))),
inference(superposition,[],[f29,f1061]) ).
fof(f1061,plain,
! [X2] : complement(X2) = meet(top,join(zero,complement(X2))),
inference(backward_demodulation,[],[f57,f1059]) ).
fof(f57,plain,
! [X2] : complement(join(zero,meet(X2,top))) = meet(top,join(zero,complement(X2))),
inference(forward_demodulation,[],[f49,f38]) ).
fof(f49,plain,
! [X2] : meet(join(zero,complement(X2)),top) = complement(join(zero,meet(X2,top))),
inference(superposition,[],[f46,f46]) ).
fof(f1565,plain,
! [X0,X1] : meet(top,join(complement(X0),complement(X1))) = complement(meet(X0,X1)),
inference(backward_demodulation,[],[f56,f1520]) ).
fof(f56,plain,
! [X0,X1] : complement(join(zero,meet(X0,X1))) = meet(top,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f48,f38]) ).
fof(f48,plain,
! [X0,X1] : meet(join(complement(X0),complement(X1)),top) = complement(join(zero,meet(X0,X1))),
inference(superposition,[],[f46,f4]) ).
fof(f48437,plain,
sF3 = join(sF2,sF2),
inference(backward_demodulation,[],[f14945,f48388]) ).
fof(f48388,plain,
! [X19] : join(X19,sF2) = join(X19,sF3),
inference(forward_demodulation,[],[f48219,f27282]) ).
fof(f27282,plain,
! [X65,X63,X64] : join(X63,join(X65,meet(X64,X63))) = join(X65,X63),
inference(superposition,[],[f493,f14426]) ).
fof(f14426,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f13717,f1603]) ).
fof(f13717,plain,
! [X12,X13] : join(X12,meet(complement(X13),X12)) = X12,
inference(backward_demodulation,[],[f13677,f13621]) ).
fof(f13621,plain,
! [X42,X43] : meet(complement(X42),X43) = complement(join(X42,complement(X43))),
inference(superposition,[],[f1603,f6047]) ).
fof(f13677,plain,
! [X12,X13] : join(X12,complement(join(X13,complement(X12)))) = X12,
inference(forward_demodulation,[],[f13586,f1603]) ).
fof(f13586,plain,
! [X12,X13] : complement(complement(X12)) = join(X12,complement(join(X13,complement(X12)))),
inference(superposition,[],[f6047,f1607]) ).
fof(f1607,plain,
! [X10,X11] : meet(X10,join(X11,X10)) = X10,
inference(backward_demodulation,[],[f1597,f1601]) ).
fof(f1597,plain,
! [X10,X11] : meet(X10,join(X11,meet(X10,top))) = X10,
inference(forward_demodulation,[],[f1568,f1554]) ).
fof(f1568,plain,
! [X10,X11] : meet(X10,join(X11,complement(complement(X10)))) = X10,
inference(backward_demodulation,[],[f1053,f1520]) ).
fof(f1053,plain,
! [X10,X11] : join(zero,meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f1034,f37]) ).
fof(f1034,plain,
! [X10,X11] : join(complement(top),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(backward_demodulation,[],[f907,f998]) ).
fof(f907,plain,
! [X10,X11] : join(complement(join(top,X11)),meet(X10,join(X11,complement(complement(X10))))) = X10,
inference(forward_demodulation,[],[f880,f1]) ).
fof(f880,plain,
! [X10,X11] : join(meet(X10,join(X11,complement(complement(X10)))),complement(join(top,X11))) = X10,
inference(superposition,[],[f29,f528]) ).
fof(f48219,plain,
! [X18,X19] : join(X19,sF3) = join(sF2,join(X19,meet(X18,sF2))),
inference(backward_demodulation,[],[f35376,f48147]) ).
fof(f48147,plain,
! [X0] : join(sF2,X0) = join(sF3,X0),
inference(forward_demodulation,[],[f48146,f1520]) ).
fof(f48146,plain,
! [X0] : join(sF3,X0) = join(zero,join(sF2,X0)),
inference(forward_demodulation,[],[f48143,f493]) ).
fof(f48143,plain,
! [X0] : join(sF3,X0) = join(sF2,join(zero,X0)),
inference(backward_demodulation,[],[f15908,f48114]) ).
fof(f48114,plain,
zero = meet(sF3,complement(sF2)),
inference(superposition,[],[f13,f47818]) ).
fof(f47818,plain,
complement(sF2) = complement(sF3),
inference(forward_demodulation,[],[f47817,f21]) ).
fof(f47817,plain,
complement(sF3) = complement(meet(sk1,sk2)),
inference(forward_demodulation,[],[f47816,f1615]) ).
fof(f47816,plain,
complement(sF3) = join(complement(sk1),complement(sk2)),
inference(forward_demodulation,[],[f47815,f42498]) ).
fof(f42498,plain,
! [X11,X12] : join(complement(X12),meet(X12,X11)) = join(complement(X12),X11),
inference(forward_demodulation,[],[f42497,f27282]) ).
fof(f42497,plain,
! [X11,X12] : join(complement(X12),meet(X12,X11)) = join(X11,join(complement(X12),meet(X12,X11))),
inference(forward_demodulation,[],[f42496,f38105]) ).
fof(f38105,plain,
! [X38,X37] : join(X38,X37) = join(X38,meet(complement(X38),X37)),
inference(forward_demodulation,[],[f38104,f27282]) ).
fof(f38104,plain,
! [X38,X37] : join(X38,meet(complement(X38),X37)) = join(X37,join(X38,meet(complement(X38),X37))),
inference(forward_demodulation,[],[f37880,f1]) ).
fof(f37880,plain,
! [X38,X37] : join(X38,meet(complement(X38),X37)) = join(join(X38,meet(complement(X38),X37)),X37),
inference(superposition,[],[f14426,f13719]) ).
fof(f13719,plain,
! [X8,X9] : meet(X8,join(X9,meet(complement(X9),X8))) = X8,
inference(backward_demodulation,[],[f1567,f13621]) ).
fof(f1567,plain,
! [X8,X9] : meet(X8,join(X9,complement(join(X9,complement(X8))))) = X8,
inference(backward_demodulation,[],[f906,f1520]) ).
fof(f906,plain,
! [X8,X9] : join(zero,meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f905,f37]) ).
fof(f905,plain,
! [X8,X9] : join(complement(top),meet(X8,join(X9,complement(join(X9,complement(X8)))))) = X8,
inference(forward_demodulation,[],[f879,f1]) ).
fof(f879,plain,
! [X8,X9] : join(meet(X8,join(X9,complement(join(X9,complement(X8))))),complement(top)) = X8,
inference(superposition,[],[f29,f567]) ).
fof(f567,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X1,X0)))),
inference(superposition,[],[f481,f1]) ).
fof(f481,plain,
! [X3,X4] : top = join(X3,join(X4,complement(join(X3,X4)))),
inference(superposition,[],[f2,f12]) ).
fof(f42496,plain,
! [X11,X12] : join(complement(X12),meet(X12,X11)) = join(X11,meet(complement(X11),join(complement(X12),meet(X12,X11)))),
inference(forward_demodulation,[],[f42048,f38]) ).
fof(f42048,plain,
! [X11,X12] : join(complement(X12),meet(X12,X11)) = join(X11,meet(join(complement(X12),meet(X12,X11)),complement(X11))),
inference(superposition,[],[f4225,f37756]) ).
fof(f37756,plain,
! [X6,X7] : meet(X7,join(complement(X6),meet(X6,X7))) = X7,
inference(superposition,[],[f13719,f1603]) ).
fof(f4225,plain,
! [X2,X1] : join(meet(X2,X1),meet(X1,complement(X2))) = X1,
inference(superposition,[],[f911,f38]) ).
fof(f911,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f883,f1]) ).
fof(f883,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f29,f4]) ).
fof(f47815,plain,
complement(sF3) = join(complement(sk1),meet(sk1,complement(sk2))),
inference(forward_demodulation,[],[f47814,f1]) ).
fof(f47814,plain,
complement(sF3) = join(meet(sk1,complement(sk2)),complement(sk1)),
inference(forward_demodulation,[],[f47813,f13883]) ).
fof(f13883,plain,
sk1 = join(sk1,sF3),
inference(forward_demodulation,[],[f13882,f24]) ).
fof(f24,plain,
sk1 = composition(sk1,top),
inference(backward_demodulation,[],[f17,f18]) ).
fof(f18,plain,
sk1 = sF0,
inference(definition_folding,[],[f14,f17]) ).
fof(f14,axiom,
sk1 = composition(sk1,top),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',goals_14) ).
fof(f17,plain,
composition(sk1,top) = sF0,
introduced(function_definition,[]) ).
fof(f13882,plain,
composition(sk1,top) = join(sk1,sF3),
inference(forward_demodulation,[],[f13866,f22]) ).
fof(f13866,plain,
composition(sk1,top) = join(sk1,composition(sF2,top)),
inference(superposition,[],[f1144,f13642]) ).
fof(f13642,plain,
sk1 = join(sk1,sF2),
inference(forward_demodulation,[],[f13641,f1603]) ).
fof(f13641,plain,
join(sk1,sF2) = complement(complement(sk1)),
inference(forward_demodulation,[],[f13555,f1603]) ).
fof(f13555,plain,
complement(complement(sk1)) = join(sk1,complement(complement(sF2))),
inference(superposition,[],[f6047,f7565]) ).
fof(f7565,plain,
complement(sk1) = meet(complement(sk1),complement(sF2)),
inference(forward_demodulation,[],[f7548,f1520]) ).
fof(f7548,plain,
complement(sk1) = join(zero,meet(complement(sk1),complement(sF2))),
inference(superposition,[],[f4225,f7497]) ).
fof(f7497,plain,
zero = meet(sF2,complement(sk1)),
inference(forward_demodulation,[],[f7450,f38]) ).
fof(f7450,plain,
zero = meet(complement(sk1),sF2),
inference(superposition,[],[f7364,f21]) ).
fof(f7364,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(superposition,[],[f7322,f1603]) ).
fof(f7322,plain,
! [X12,X13] : zero = meet(X12,meet(complement(X12),X13)),
inference(forward_demodulation,[],[f7321,f1611]) ).
fof(f7321,plain,
! [X12,X13] : zero = meet(top,meet(X12,meet(complement(X12),X13))),
inference(forward_demodulation,[],[f7280,f38]) ).
fof(f7280,plain,
! [X12,X13] : zero = meet(meet(X12,meet(complement(X12),X13)),top),
inference(superposition,[],[f13,f6150]) ).
fof(f6150,plain,
! [X10,X9] : top = complement(meet(X9,meet(complement(X9),X10))),
inference(superposition,[],[f6058,f1615]) ).
fof(f6058,plain,
! [X4,X5] : top = join(X4,complement(meet(X4,X5))),
inference(superposition,[],[f1013,f1615]) ).
fof(f1013,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f470,f998]) ).
fof(f1144,plain,
! [X17] : composition(join(sk1,X17),top) = join(sk1,composition(X17,top)),
inference(superposition,[],[f7,f24]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',composition_distributivity_7) ).
fof(f47813,plain,
complement(sF3) = join(meet(sk1,complement(sk2)),complement(join(sk1,sF3))),
inference(forward_demodulation,[],[f47812,f18919]) ).
fof(f18919,plain,
! [X2,X1] : complement(join(X1,X2)) = complement(join(X2,X1)),
inference(forward_demodulation,[],[f18880,f18712]) ).
fof(f18712,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f18633,f1603]) ).
fof(f18633,plain,
! [X17] : converse(complement(converse(complement(X17)))) = X17,
inference(superposition,[],[f18155,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',converse_idempotence_8) ).
fof(f18155,plain,
! [X17] : converse(X17) = converse(complement(converse(complement(converse(X17))))),
inference(forward_demodulation,[],[f18154,f1573]) ).
fof(f1573,plain,
! [X13] : meet(X13,converse(complement(converse(complement(X13))))) = X13,
inference(backward_demodulation,[],[f1090,f1520]) ).
fof(f1090,plain,
! [X13] : join(zero,meet(X13,converse(complement(converse(complement(X13)))))) = X13,
inference(forward_demodulation,[],[f1082,f37]) ).
fof(f1082,plain,
! [X13] : join(complement(top),meet(X13,converse(complement(converse(complement(X13)))))) = X13,
inference(backward_demodulation,[],[f910,f1066]) ).
fof(f1066,plain,
top = converse(top),
inference(forward_demodulation,[],[f1011,f1045]) ).
fof(f1045,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f532,f998]) ).
fof(f532,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f470,f125]) ).
fof(f125,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f76,f12]) ).
fof(f76,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',converse_additivity_9) ).
fof(f1011,plain,
converse(top) = join(one,converse(top)),
inference(superposition,[],[f278,f986]) ).
fof(f278,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f9,f268]) ).
fof(f268,plain,
one = converse(one),
inference(superposition,[],[f260,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',composition_identity_6) ).
fof(f260,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f242,f8]) ).
fof(f242,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f113,f6]) ).
fof(f113,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',converse_multiplicativity_10) ).
fof(f910,plain,
! [X13] : join(complement(converse(top)),meet(X13,converse(complement(converse(complement(X13)))))) = X13,
inference(forward_demodulation,[],[f882,f1]) ).
fof(f882,plain,
! [X13] : join(meet(X13,converse(complement(converse(complement(X13))))),complement(converse(top))) = X13,
inference(superposition,[],[f29,f125]) ).
fof(f18154,plain,
! [X17] : converse(complement(converse(complement(converse(X17))))) = meet(converse(X17),converse(complement(converse(complement(converse(X17)))))),
inference(forward_demodulation,[],[f18088,f38]) ).
fof(f18088,plain,
! [X17] : converse(complement(converse(complement(converse(X17))))) = meet(converse(complement(converse(complement(converse(X17))))),converse(X17)),
inference(superposition,[],[f1829,f13669]) ).
fof(f13669,plain,
! [X4] : join(X4,complement(converse(complement(converse(X4))))) = X4,
inference(forward_demodulation,[],[f13580,f1603]) ).
fof(f13580,plain,
! [X4] : complement(complement(X4)) = join(X4,complement(converse(complement(converse(X4))))),
inference(superposition,[],[f6047,f1843]) ).
fof(f1843,plain,
! [X0] : complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f1573,f1603]) ).
fof(f1829,plain,
! [X24,X25] : converse(X25) = meet(converse(X25),converse(join(X24,X25))),
inference(superposition,[],[f1607,f9]) ).
fof(f18880,plain,
! [X2,X1] : converse(complement(converse(join(X2,X1)))) = complement(join(X1,X2)),
inference(superposition,[],[f18712,f82]) ).
fof(f82,plain,
! [X2,X3] : converse(join(X2,X3)) = converse(join(X3,X2)),
inference(forward_demodulation,[],[f78,f9]) ).
fof(f78,plain,
! [X2,X3] : join(converse(X3),converse(X2)) = converse(join(X2,X3)),
inference(superposition,[],[f9,f1]) ).
fof(f47812,plain,
complement(sF3) = join(meet(sk1,complement(sk2)),complement(join(sF3,sk1))),
inference(forward_demodulation,[],[f47786,f46190]) ).
fof(f46190,plain,
! [X10,X9] : complement(join(X10,X9)) = meet(complement(X10),complement(X9)),
inference(superposition,[],[f13621,f1603]) ).
fof(f47786,plain,
complement(sF3) = join(meet(sk1,complement(sk2)),meet(complement(sF3),complement(sk1))),
inference(superposition,[],[f4225,f46642]) ).
fof(f46642,plain,
meet(sk1,complement(sk2)) = meet(sk1,complement(sF3)),
inference(forward_demodulation,[],[f46641,f38]) ).
fof(f46641,plain,
meet(complement(sk2),sk1) = meet(sk1,complement(sF3)),
inference(forward_demodulation,[],[f46640,f13621]) ).
fof(f46640,plain,
complement(join(sk2,complement(sk1))) = meet(sk1,complement(sF3)),
inference(forward_demodulation,[],[f46283,f38]) ).
fof(f46283,plain,
complement(join(sk2,complement(sk1))) = meet(complement(sF3),sk1),
inference(superposition,[],[f13621,f42724]) ).
fof(f42724,plain,
join(sk2,complement(sk1)) = join(sF3,complement(sk1)),
inference(forward_demodulation,[],[f42723,f1]) ).
fof(f42723,plain,
join(complement(sk1),sk2) = join(sF3,complement(sk1)),
inference(forward_demodulation,[],[f42722,f25]) ).
fof(f25,plain,
sk2 = composition(sk2,top),
inference(backward_demodulation,[],[f19,f20]) ).
fof(f20,plain,
sk2 = sF1,
inference(definition_folding,[],[f15,f19]) ).
fof(f15,axiom,
sk2 = composition(sk2,top),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',goals_15) ).
fof(f19,plain,
composition(sk2,top) = sF1,
introduced(function_definition,[]) ).
fof(f42722,plain,
join(sF3,complement(sk1)) = join(complement(sk1),composition(sk2,top)),
inference(forward_demodulation,[],[f42721,f11774]) ).
fof(f11774,plain,
! [X0] : composition(join(X0,complement(sk1)),top) = join(complement(sk1),composition(X0,top)),
inference(forward_demodulation,[],[f11767,f1]) ).
fof(f11767,plain,
! [X0] : composition(join(X0,complement(sk1)),top) = join(composition(X0,top),complement(sk1)),
inference(superposition,[],[f7,f11722]) ).
fof(f11722,plain,
complement(sk1) = composition(complement(sk1),top),
inference(forward_demodulation,[],[f11721,f8]) ).
fof(f11721,plain,
converse(converse(complement(sk1))) = composition(complement(sk1),top),
inference(forward_demodulation,[],[f11710,f1066]) ).
fof(f11710,plain,
converse(converse(complement(sk1))) = composition(complement(sk1),converse(top)),
inference(superposition,[],[f110,f11530]) ).
fof(f11530,plain,
converse(complement(sk1)) = composition(top,converse(complement(sk1))),
inference(forward_demodulation,[],[f11529,f4594]) ).
fof(f4594,plain,
! [X13] : meet(X13,composition(top,X13)) = X13,
inference(forward_demodulation,[],[f4582,f1603]) ).
fof(f4582,plain,
! [X13] : meet(X13,composition(top,X13)) = complement(complement(X13)),
inference(superposition,[],[f1603,f4553]) ).
fof(f4553,plain,
! [X33] : complement(X33) = complement(meet(X33,composition(top,X33))),
inference(forward_demodulation,[],[f4552,f1615]) ).
fof(f4552,plain,
! [X33] : complement(X33) = join(complement(X33),complement(composition(top,X33))),
inference(backward_demodulation,[],[f2673,f4548]) ).
fof(f4548,plain,
! [X4] : complement(composition(top,X4)) = composition(top,complement(composition(top,X4))),
inference(forward_demodulation,[],[f4547,f986]) ).
fof(f4547,plain,
! [X4] : complement(composition(top,X4)) = composition(join(one,top),complement(composition(top,X4))),
inference(forward_demodulation,[],[f4546,f1066]) ).
fof(f4546,plain,
! [X4] : complement(composition(top,X4)) = composition(join(one,converse(top)),complement(composition(top,X4))),
inference(forward_demodulation,[],[f4539,f1137]) ).
fof(f1137,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f7,f274]) ).
fof(f274,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f260,f268]) ).
fof(f4539,plain,
! [X4] : complement(composition(top,X4)) = join(complement(composition(top,X4)),composition(converse(top),complement(composition(top,X4)))),
inference(superposition,[],[f26,f3155]) ).
fof(f3155,plain,
! [X2] : composition(top,X2) = composition(top,composition(top,X2)),
inference(superposition,[],[f5,f3122]) ).
fof(f3122,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f3121,f1520]) ).
fof(f3121,plain,
top = join(zero,composition(top,top)),
inference(forward_demodulation,[],[f3112,f1]) ).
fof(f3112,plain,
top = join(composition(top,top),zero),
inference(superposition,[],[f12,f3072]) ).
fof(f3072,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f3068,f274]) ).
fof(f3068,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3067,f2877]) ).
fof(f2877,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f2709,f1066]) ).
fof(f2709,plain,
! [X1] : zero = composition(converse(X1),complement(composition(X1,top))),
inference(forward_demodulation,[],[f2657,f1520]) ).
fof(f2657,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(superposition,[],[f26,f37]) ).
fof(f3067,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3066,f986]) ).
fof(f3066,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3065,f1520]) ).
fof(f3065,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f3053,f1]) ).
fof(f3053,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f7,f2877]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',composition_associativity_5) ).
fof(f26,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f11,f1]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494',converse_cancellativity_11) ).
fof(f2673,plain,
! [X33] : complement(X33) = join(complement(X33),composition(top,complement(composition(top,X33)))),
inference(superposition,[],[f26,f1066]) ).
fof(f11529,plain,
composition(top,converse(complement(sk1))) = meet(converse(complement(sk1)),composition(top,converse(complement(sk1)))),
inference(forward_demodulation,[],[f11528,f1096]) ).
fof(f1096,plain,
! [X3] : converse(composition(X3,top)) = composition(top,converse(X3)),
inference(superposition,[],[f10,f1066]) ).
fof(f11528,plain,
converse(composition(complement(sk1),top)) = meet(converse(complement(sk1)),converse(composition(complement(sk1),top))),
inference(forward_demodulation,[],[f11363,f38]) ).
fof(f11363,plain,
converse(composition(complement(sk1),top)) = meet(converse(composition(complement(sk1),top)),converse(complement(sk1))),
inference(superposition,[],[f1829,f2837]) ).
fof(f2837,plain,
complement(sk1) = join(complement(sk1),composition(complement(sk1),top)),
inference(forward_demodulation,[],[f2836,f8]) ).
fof(f2836,plain,
complement(sk1) = join(complement(sk1),composition(converse(converse(complement(sk1))),top)),
inference(forward_demodulation,[],[f2831,f1133]) ).
fof(f2831,plain,
complement(sk1) = join(complement(sk1),composition(converse(converse(complement(sk1))),complement(zero))),
inference(superposition,[],[f26,f2758]) ).
fof(f2758,plain,
zero = composition(converse(complement(sk1)),sk1),
inference(forward_demodulation,[],[f2753,f1732]) ).
fof(f1732,plain,
zero = converse(zero),
inference(superposition,[],[f1679,f1520]) ).
fof(f1679,plain,
! [X12] : join(X12,converse(zero)) = X12,
inference(forward_demodulation,[],[f1673,f8]) ).
fof(f1673,plain,
! [X12] : join(X12,converse(zero)) = converse(converse(X12)),
inference(superposition,[],[f76,f1639]) ).
fof(f1639,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f1638,f37]) ).
fof(f1638,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f1637,f12]) ).
fof(f1637,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1636,f1]) ).
fof(f1636,plain,
! [X0] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f29,f1562]) ).
fof(f2753,plain,
converse(zero) = composition(converse(complement(sk1)),sk1),
inference(superposition,[],[f113,f2740]) ).
fof(f2740,plain,
zero = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f2739,f1520]) ).
fof(f2739,plain,
zero = join(zero,composition(converse(sk1),complement(sk1))),
inference(forward_demodulation,[],[f2696,f37]) ).
fof(f2696,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f26,f24]) ).
fof(f110,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f10,f8]) ).
fof(f42721,plain,
composition(join(sk2,complement(sk1)),top) = join(sF3,complement(sk1)),
inference(forward_demodulation,[],[f42695,f11722]) ).
fof(f42695,plain,
composition(join(sk2,complement(sk1)),top) = join(sF3,composition(complement(sk1),top)),
inference(superposition,[],[f1146,f42608]) ).
fof(f42608,plain,
join(sk2,complement(sk1)) = join(sF2,complement(sk1)),
inference(forward_demodulation,[],[f42607,f13894]) ).
fof(f13894,plain,
! [X1] : join(sk2,X1) = join(sk2,join(sF2,X1)),
inference(superposition,[],[f2,f13644]) ).
fof(f13644,plain,
sk2 = join(sk2,sF2),
inference(forward_demodulation,[],[f13643,f1603]) ).
fof(f13643,plain,
join(sk2,sF2) = complement(complement(sk2)),
inference(forward_demodulation,[],[f13556,f1603]) ).
fof(f13556,plain,
complement(complement(sk2)) = join(sk2,complement(complement(sF2))),
inference(superposition,[],[f6047,f7599]) ).
fof(f7599,plain,
complement(sk2) = meet(complement(sk2),complement(sF2)),
inference(forward_demodulation,[],[f7582,f1520]) ).
fof(f7582,plain,
complement(sk2) = join(zero,meet(complement(sk2),complement(sF2))),
inference(superposition,[],[f4225,f7505]) ).
fof(f7505,plain,
zero = meet(sF2,complement(sk2)),
inference(forward_demodulation,[],[f7455,f38]) ).
fof(f7455,plain,
zero = meet(complement(sk2),sF2),
inference(superposition,[],[f7364,f1947]) ).
fof(f1947,plain,
sF2 = meet(sk2,sF2),
inference(superposition,[],[f1859,f21]) ).
fof(f1859,plain,
! [X2,X1] : meet(X2,X1) = meet(X1,meet(X2,X1)),
inference(superposition,[],[f1808,f38]) ).
fof(f1808,plain,
! [X19,X20] : meet(X19,X20) = meet(X19,meet(X19,X20)),
inference(forward_demodulation,[],[f1798,f38]) ).
fof(f1798,plain,
! [X19,X20] : meet(X19,X20) = meet(meet(X19,X20),X19),
inference(superposition,[],[f1599,f29]) ).
fof(f1599,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f1598,f1552]) ).
fof(f1552,plain,
! [X2,X3] : join(X2,X3) = join(meet(X2,top),X3),
inference(backward_demodulation,[],[f1130,f1520]) ).
fof(f1130,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(meet(X2,top),X3)),
inference(superposition,[],[f2,f1059]) ).
fof(f1598,plain,
! [X4,X5] : meet(X4,join(meet(X4,top),X5)) = X4,
inference(forward_demodulation,[],[f1569,f1554]) ).
fof(f1569,plain,
! [X4,X5] : meet(X4,join(complement(complement(X4)),X5)) = X4,
inference(backward_demodulation,[],[f1052,f1520]) ).
fof(f1052,plain,
! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1033,f37]) ).
fof(f1033,plain,
! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(backward_demodulation,[],[f902,f998]) ).
fof(f902,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f877,f1]) ).
fof(f877,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f29,f470]) ).
fof(f42607,plain,
join(sF2,complement(sk1)) = join(sk2,join(sF2,complement(sk1))),
inference(forward_demodulation,[],[f42606,f38105]) ).
fof(f42606,plain,
join(sF2,complement(sk1)) = join(sk2,meet(complement(sk2),join(sF2,complement(sk1)))),
inference(forward_demodulation,[],[f42589,f38]) ).
fof(f42589,plain,
join(sF2,complement(sk1)) = join(sk2,meet(join(sF2,complement(sk1)),complement(sk2))),
inference(superposition,[],[f4225,f42364]) ).
fof(f42364,plain,
sk2 = meet(sk2,join(sF2,complement(sk1))),
inference(forward_demodulation,[],[f41961,f1]) ).
fof(f41961,plain,
sk2 = meet(sk2,join(complement(sk1),sF2)),
inference(superposition,[],[f37756,f21]) ).
fof(f1146,plain,
! [X19] : composition(join(sF2,X19),top) = join(sF3,composition(X19,top)),
inference(superposition,[],[f7,f22]) ).
fof(f15908,plain,
! [X0] : join(sF3,X0) = join(sF2,join(meet(sF3,complement(sF2)),X0)),
inference(superposition,[],[f2,f14999]) ).
fof(f14999,plain,
sF3 = join(sF2,meet(sF3,complement(sF2))),
inference(superposition,[],[f4225,f14980]) ).
fof(f14980,plain,
sF2 = meet(sF2,sF3),
inference(superposition,[],[f1599,f14945]) ).
fof(f35376,plain,
! [X18,X19] : join(X19,sF3) = join(sF3,join(X19,meet(X18,sF2))),
inference(superposition,[],[f493,f35345]) ).
fof(f35345,plain,
! [X28] : sF3 = join(sF3,meet(X28,sF2)),
inference(superposition,[],[f14560,f33125]) ).
fof(f33125,plain,
! [X7] : meet(X7,sF2) = meet(sF3,meet(X7,sF2)),
inference(forward_demodulation,[],[f33098,f38]) ).
fof(f33098,plain,
! [X7] : meet(X7,sF2) = meet(meet(X7,sF2),sF3),
inference(superposition,[],[f28472,f33049]) ).
fof(f33049,plain,
! [X25] : sF3 = join(sF3,composition(meet(X25,sF2),top)),
inference(forward_demodulation,[],[f32988,f22]) ).
fof(f32988,plain,
! [X25] : composition(sF2,top) = join(sF3,composition(meet(X25,sF2),top)),
inference(superposition,[],[f1146,f14426]) ).
fof(f28472,plain,
! [X22,X23] : meet(X22,join(X23,composition(X22,top))) = X22,
inference(superposition,[],[f1889,f19347]) ).
fof(f19347,plain,
! [X17] : composition(X17,top) = join(X17,composition(X17,top)),
inference(forward_demodulation,[],[f19325,f1]) ).
fof(f19325,plain,
! [X17] : composition(X17,top) = join(composition(X17,top),X17),
inference(superposition,[],[f14426,f19270]) ).
fof(f19270,plain,
! [X29] : meet(X29,composition(X29,top)) = X29,
inference(forward_demodulation,[],[f19269,f1520]) ).
fof(f19269,plain,
! [X29] : join(zero,meet(X29,composition(X29,top))) = X29,
inference(forward_demodulation,[],[f19268,f37]) ).
fof(f19268,plain,
! [X29] : join(complement(top),meet(X29,composition(X29,top))) = X29,
inference(forward_demodulation,[],[f19267,f1603]) ).
fof(f19267,plain,
! [X29] : join(complement(top),meet(X29,composition(complement(complement(X29)),top))) = X29,
inference(forward_demodulation,[],[f19221,f1]) ).
fof(f19221,plain,
! [X29] : join(meet(X29,composition(complement(complement(X29)),top)),complement(top)) = X29,
inference(superposition,[],[f29,f18748]) ).
fof(f18748,plain,
! [X24] : top = join(X24,composition(complement(X24),top)),
inference(backward_demodulation,[],[f7146,f18712]) ).
fof(f7146,plain,
! [X24] : top = join(X24,composition(converse(complement(converse(X24))),top)),
inference(forward_demodulation,[],[f7145,f1066]) ).
fof(f7145,plain,
! [X24] : converse(top) = join(X24,composition(converse(complement(converse(X24))),top)),
inference(forward_demodulation,[],[f7113,f1095]) ).
fof(f1095,plain,
! [X2] : converse(composition(top,X2)) = composition(converse(X2),top),
inference(superposition,[],[f10,f1066]) ).
fof(f7113,plain,
! [X24] : converse(top) = join(X24,converse(composition(top,complement(converse(X24))))),
inference(superposition,[],[f76,f6855]) ).
fof(f6855,plain,
! [X0] : top = join(X0,composition(top,complement(X0))),
inference(superposition,[],[f6342,f1603]) ).
fof(f6342,plain,
! [X20] : top = join(complement(X20),composition(top,X20)),
inference(forward_demodulation,[],[f6263,f1]) ).
fof(f6263,plain,
! [X20] : top = join(composition(top,X20),complement(X20)),
inference(superposition,[],[f6063,f4594]) ).
fof(f6063,plain,
! [X14,X15] : top = join(X15,complement(meet(X14,X15))),
inference(superposition,[],[f1020,f1615]) ).
fof(f1020,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f528,f998]) ).
fof(f1889,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X1,X0))) = X1,
inference(superposition,[],[f1825,f1]) ).
fof(f1825,plain,
! [X18,X16,X17] : meet(X18,join(X16,join(X17,X18))) = X18,
inference(superposition,[],[f1607,f2]) ).
fof(f14560,plain,
! [X2,X1] : join(X2,meet(X2,X1)) = X2,
inference(superposition,[],[f14426,f38]) ).
fof(f14945,plain,
sF3 = join(sF2,sF3),
inference(forward_demodulation,[],[f14925,f8]) ).
fof(f14925,plain,
converse(converse(sF3)) = join(sF2,sF3),
inference(superposition,[],[f8,f14719]) ).
fof(f14719,plain,
converse(sF3) = converse(join(sF2,sF3)),
inference(forward_demodulation,[],[f14718,f9]) ).
fof(f14718,plain,
converse(sF3) = join(converse(sF2),converse(sF3)),
inference(forward_demodulation,[],[f14609,f1]) ).
fof(f14609,plain,
converse(sF3) = join(converse(sF3),converse(sF2)),
inference(superposition,[],[f14426,f4614]) ).
fof(f4614,plain,
converse(sF2) = meet(converse(sF2),converse(sF3)),
inference(superposition,[],[f4594,f2178]) ).
fof(f2178,plain,
composition(top,converse(sF2)) = converse(sF3),
inference(superposition,[],[f1096,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL019-1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.35 % Computer : n023.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 25 22:37:12 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.hGcxSOspd1/Vampire---4.8_5494
% 0.16/0.36 % (5678)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5680)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.22/0.42 % (5681)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.22/0.42 % (5679)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)
% 0.22/0.42 % (5682)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)
% 0.22/0.42 % (5684)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)
% 0.22/0.42 % (5683)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)
% 0.22/0.42 % (5685)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)
% 4.36/1.02 % (5684)First to succeed.
% 4.36/1.02 % (5684)Refutation found. Thanks to Tanya!
% 4.36/1.02 % SZS status Unsatisfiable for Vampire---4
% 4.36/1.02 % SZS output start Proof for Vampire---4
% See solution above
% 4.36/1.02 % (5684)------------------------------
% 4.36/1.02 % (5684)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.36/1.02 % (5684)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.36/1.02 % (5684)Termination reason: Refutation
% 4.36/1.02
% 4.36/1.02 % (5684)Memory used [KB]: 23411
% 4.36/1.02 % (5684)Time elapsed: 0.600 s
% 4.36/1.02 % (5684)------------------------------
% 4.36/1.02 % (5684)------------------------------
% 4.36/1.02 % (5678)Success in time 0.66 s
% 4.36/1.02 % Vampire---4.8 exiting
%------------------------------------------------------------------------------