TSTP Solution File: REL050-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : REL050-3 : 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 : n003.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 13:46:17 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 18
% Syntax : Number of formulae : 205 ( 205 unt; 0 def)
% Number of atoms : 205 ( 204 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 170 (; 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4086,plain,
$false,
inference(subsumption_resolution,[],[f4085,f21]) ).
fof(f21,plain,
sF1 != sF2,
inference(definition_folding,[],[f17,f20,f19,f18,f19,f18]) ).
fof(f18,plain,
composition(sk1,top) = sF0,
introduced(function_definition,[]) ).
fof(f19,plain,
complement(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f20,plain,
composition(sF1,top) = sF2,
introduced(function_definition,[]) ).
fof(f17,axiom,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',goals_17) ).
fof(f4085,plain,
sF1 = sF2,
inference(forward_demodulation,[],[f4077,f19]) ).
fof(f4077,plain,
complement(sF0) = sF2,
inference(superposition,[],[f2516,f4032]) ).
fof(f4032,plain,
sF0 = complement(sF2),
inference(forward_demodulation,[],[f4031,f2403]) ).
fof(f2403,plain,
! [X1] : join(zero,X1) = X1,
inference(superposition,[],[f1413,f1278]) ).
fof(f1278,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f1242,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',maddux4_definiton_of_meet_4) ).
fof(f1242,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f25,f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',def_zero_13) ).
fof(f25,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f24,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',maddux1_join_commutativity_1) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f23,f4]) ).
fof(f23,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.oHIEU5sYd6/Vampire---4.8_1040',maddux3_a_kind_of_de_Morgan_3) ).
fof(f1413,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f1412,f39]) ).
fof(f39,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/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',def_top_12) ).
fof(f1412,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f1370,f1381]) ).
fof(f1381,plain,
top = join(top,top),
inference(forward_demodulation,[],[f1380,f56]) ).
fof(f56,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f52,plain,
top = join(top,zero),
inference(superposition,[],[f12,f39]) ).
fof(f1380,plain,
join(zero,top) = join(top,top),
inference(forward_demodulation,[],[f1379,f1]) ).
fof(f1379,plain,
join(top,zero) = join(top,top),
inference(forward_demodulation,[],[f1378,f270]) ).
fof(f270,plain,
! [X20] : join(top,X20) = join(zero,join(top,X20)),
inference(superposition,[],[f2,f56]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',maddux2_join_associativity_2) ).
fof(f1378,plain,
join(top,zero) = join(zero,join(top,top)),
inference(forward_demodulation,[],[f1369,f1]) ).
fof(f1369,plain,
join(top,zero) = join(join(top,top),zero),
inference(superposition,[],[f498,f1312]) ).
fof(f1312,plain,
zero = join(zero,complement(join(top,top))),
inference(forward_demodulation,[],[f1311,f538]) ).
fof(f538,plain,
join(top,top) = join(top,complement(zero)),
inference(forward_demodulation,[],[f504,f1]) ).
fof(f504,plain,
join(top,top) = join(complement(zero),top),
inference(superposition,[],[f261,f321]) ).
fof(f321,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f270,f1]) ).
fof(f261,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f12]) ).
fof(f1311,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f1253,f1]) ).
fof(f1253,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[],[f25,f55]) ).
fof(f55,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f51,f40]) ).
fof(f40,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(f51,plain,
zero = meet(top,zero),
inference(superposition,[],[f13,f39]) ).
fof(f498,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(superposition,[],[f261,f1]) ).
fof(f1370,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,top)),X0)),
inference(superposition,[],[f2,f1312]) ).
fof(f4031,plain,
join(zero,sF0) = complement(sF2),
inference(forward_demodulation,[],[f4030,f1]) ).
fof(f4030,plain,
join(sF0,zero) = complement(sF2),
inference(backward_demodulation,[],[f4007,f4029]) ).
fof(f4029,plain,
zero = meet(sF1,complement(sF2)),
inference(forward_demodulation,[],[f4025,f40]) ).
fof(f4025,plain,
zero = meet(complement(sF2),sF1),
inference(superposition,[],[f3730,f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',composition_identity_6) ).
fof(f3730,plain,
! [X0] : zero = meet(complement(sF2),composition(sF1,X0)),
inference(forward_demodulation,[],[f3729,f2403]) ).
fof(f3729,plain,
! [X0] : zero = join(zero,meet(complement(sF2),composition(sF1,X0))),
inference(forward_demodulation,[],[f3728,f1839]) ).
fof(f1839,plain,
! [X1] : zero = meet(X1,zero),
inference(superposition,[],[f1639,f40]) ).
fof(f1639,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[],[f1631,f39]) ).
fof(f1631,plain,
! [X0] : complement(top) = meet(zero,X0),
inference(backward_demodulation,[],[f1499,f1630]) ).
fof(f1630,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1629,f56]) ).
fof(f1629,plain,
! [X0] : join(zero,top) = join(top,complement(X0)),
inference(forward_demodulation,[],[f1611,f1]) ).
fof(f1611,plain,
! [X0] : join(top,zero) = join(top,complement(X0)),
inference(superposition,[],[f1330,f13]) ).
fof(f1330,plain,
! [X0,X1] : join(top,X1) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1329,f261]) ).
fof(f1329,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[],[f1274,f1]) ).
fof(f1274,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(superposition,[],[f498,f25]) ).
fof(f1499,plain,
! [X0] : meet(zero,X0) = complement(join(top,complement(X0))),
inference(superposition,[],[f4,f1491]) ).
fof(f1491,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1482,f1416]) ).
fof(f1416,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[],[f1415,f40]) ).
fof(f1415,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[],[f1414,f53]) ).
fof(f53,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f49,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f4,f39]) ).
fof(f1414,plain,
complement(zero) = join(zero,complement(join(zero,complement(complement(zero))))),
inference(backward_demodulation,[],[f1399,f1413]) ).
fof(f1399,plain,
complement(zero) = join(zero,complement(join(zero,join(zero,complement(complement(zero)))))),
inference(backward_demodulation,[],[f1304,f1391]) ).
fof(f1391,plain,
meet(top,top) = complement(zero),
inference(backward_demodulation,[],[f97,f1390]) ).
fof(f1390,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f1387,f39]) ).
fof(f1387,plain,
zero = join(zero,complement(top)),
inference(backward_demodulation,[],[f1312,f1381]) ).
fof(f97,plain,
meet(top,top) = complement(join(zero,zero)),
inference(superposition,[],[f53,f39]) ).
fof(f1304,plain,
meet(top,top) = join(zero,complement(join(zero,join(zero,complement(meet(top,top)))))),
inference(forward_demodulation,[],[f1303,f2]) ).
fof(f1303,plain,
meet(top,top) = join(zero,complement(join(join(zero,zero),complement(meet(top,top))))),
inference(forward_demodulation,[],[f1249,f1]) ).
fof(f1249,plain,
meet(top,top) = join(zero,complement(join(complement(meet(top,top)),join(zero,zero)))),
inference(superposition,[],[f25,f122]) ).
fof(f122,plain,
zero = meet(meet(top,top),join(zero,zero)),
inference(forward_demodulation,[],[f117,f40]) ).
fof(f117,plain,
zero = meet(join(zero,zero),meet(top,top)),
inference(superposition,[],[f13,f97]) ).
fof(f1482,plain,
top = join(zero,meet(top,complement(zero))),
inference(superposition,[],[f1326,f39]) ).
fof(f1326,plain,
! [X12] : join(zero,meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1325,f39]) ).
fof(f1325,plain,
! [X12] : join(complement(top),meet(X12,complement(complement(X12)))) = X12,
inference(forward_demodulation,[],[f1271,f1]) ).
fof(f1271,plain,
! [X12] : join(meet(X12,complement(complement(X12))),complement(top)) = X12,
inference(superposition,[],[f25,f12]) ).
fof(f3728,plain,
! [X0] : meet(complement(sF2),zero) = join(meet(complement(sF2),zero),meet(complement(sF2),composition(sF1,X0))),
inference(forward_demodulation,[],[f3727,f3369]) ).
fof(f3369,plain,
! [X1] : zero = composition(X1,zero),
inference(forward_demodulation,[],[f3357,f3332]) ).
fof(f3332,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3331,f3279]) ).
fof(f3279,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f2988,f1756]) ).
fof(f1756,plain,
top = converse(top),
inference(backward_demodulation,[],[f323,f1747]) ).
fof(f1747,plain,
! [X7] : top = join(X7,converse(top)),
inference(backward_demodulation,[],[f502,f1705]) ).
fof(f1705,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f1704,f1633]) ).
fof(f1633,plain,
! [X6] : top = join(X6,top),
inference(backward_demodulation,[],[f501,f1630]) ).
fof(f501,plain,
! [X6] : join(top,complement(complement(X6))) = join(X6,top),
inference(superposition,[],[f261,f12]) ).
fof(f1704,plain,
! [X1] : join(top,X1) = join(sF0,top),
inference(forward_demodulation,[],[f1703,f1]) ).
fof(f1703,plain,
! [X1] : join(top,X1) = join(top,sF0),
inference(forward_demodulation,[],[f1612,f1330]) ).
fof(f1612,plain,
! [X1] : join(top,sF0) = join(top,meet(sF0,X1)),
inference(superposition,[],[f1330,f38]) ).
fof(f38,plain,
! [X0] : meet(sF0,X0) = meet(X0,sF0),
inference(forward_demodulation,[],[f37,f28]) ).
fof(f28,plain,
! [X0] : meet(sF0,X0) = complement(join(sF1,complement(X0))),
inference(superposition,[],[f4,f19]) ).
fof(f37,plain,
! [X0] : complement(join(sF1,complement(X0))) = meet(X0,sF0),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f30,plain,
! [X0] : meet(X0,sF0) = complement(join(complement(X0),sF1)),
inference(superposition,[],[f4,f19]) ).
fof(f502,plain,
! [X7] : join(top,converse(complement(converse(complement(X7))))) = join(X7,converse(top)),
inference(superposition,[],[f261,f173]) ).
fof(f173,plain,
! [X2] : join(X2,converse(complement(converse(X2)))) = converse(top),
inference(superposition,[],[f124,f12]) ).
fof(f124,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f9,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',converse_idempotence_8) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',converse_additivity_9) ).
fof(f323,plain,
converse(top) = join(zero,converse(top)),
inference(superposition,[],[f270,f173]) ).
fof(f2988,plain,
! [X2] : zero = composition(converse(X2),complement(composition(X2,top))),
inference(forward_demodulation,[],[f2959,f2403]) ).
fof(f2959,plain,
! [X2] : zero = join(zero,composition(converse(X2),complement(composition(X2,top)))),
inference(superposition,[],[f22,f39]) ).
fof(f22,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.oHIEU5sYd6/Vampire---4.8_1040',converse_cancellativity_11) ).
fof(f3331,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3330,f1633]) ).
fof(f3330,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f3329,f2403]) ).
fof(f3329,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(forward_demodulation,[],[f3321,f1]) ).
fof(f3321,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(composition(X0,complement(composition(top,top))),zero),
inference(superposition,[],[f7,f3279]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',composition_distributivity_7) ).
fof(f3357,plain,
! [X2,X1] : zero = composition(X1,composition(X2,complement(composition(top,top)))),
inference(superposition,[],[f3332,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040',composition_associativity_5) ).
fof(f3727,plain,
! [X0] : meet(complement(sF2),composition(sF1,zero)) = join(meet(complement(sF2),composition(sF1,zero)),meet(complement(sF2),composition(sF1,X0))),
inference(forward_demodulation,[],[f3726,f40]) ).
fof(f3726,plain,
! [X0] : meet(complement(sF2),composition(sF1,zero)) = join(meet(complement(sF2),composition(sF1,zero)),meet(composition(sF1,X0),complement(sF2))),
inference(forward_demodulation,[],[f3725,f1]) ).
fof(f3725,plain,
! [X0] : meet(complement(sF2),composition(sF1,zero)) = join(meet(composition(sF1,X0),complement(sF2)),meet(complement(sF2),composition(sF1,zero))),
inference(forward_demodulation,[],[f3642,f1839]) ).
fof(f3642,plain,
! [X0] : meet(complement(sF2),composition(sF1,meet(X0,zero))) = join(meet(composition(sF1,X0),complement(sF2)),meet(complement(sF2),composition(sF1,meet(X0,zero)))),
inference(superposition,[],[f41,f3006]) ).
fof(f3006,plain,
zero = composition(converse(sF1),complement(sF2)),
inference(forward_demodulation,[],[f3005,f2403]) ).
fof(f3005,plain,
zero = join(zero,composition(converse(sF1),complement(sF2))),
inference(forward_demodulation,[],[f2980,f39]) ).
fof(f2980,plain,
complement(top) = join(complement(top),composition(converse(sF1),complement(sF2))),
inference(superposition,[],[f22,f20]) ).
fof(f41,plain,
! [X2,X0,X1] : meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),
inference(backward_demodulation,[],[f15,f40]) ).
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.oHIEU5sYd6/Vampire---4.8_1040',modular_law_1_15) ).
fof(f4007,plain,
complement(sF2) = join(sF0,meet(sF1,complement(sF2))),
inference(superposition,[],[f2566,f4001]) ).
fof(f4001,plain,
sF0 = meet(sF0,complement(sF2)),
inference(superposition,[],[f2515,f3954]) ).
fof(f3954,plain,
complement(sF2) = join(sF0,complement(sF2)),
inference(forward_demodulation,[],[f3953,f1]) ).
fof(f3953,plain,
complement(sF2) = join(complement(sF2),sF0),
inference(forward_demodulation,[],[f3952,f18]) ).
fof(f3952,plain,
complement(sF2) = join(complement(sF2),composition(sk1,top)),
inference(forward_demodulation,[],[f3951,f1756]) ).
fof(f3951,plain,
complement(sF2) = join(complement(sF2),composition(sk1,converse(top))),
inference(forward_demodulation,[],[f3950,f158]) ).
fof(f158,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(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.oHIEU5sYd6/Vampire---4.8_1040',converse_multiplicativity_10) ).
fof(f3950,plain,
complement(sF2) = join(complement(sF2),converse(composition(top,converse(sk1)))),
inference(forward_demodulation,[],[f3949,f1793]) ).
fof(f1793,plain,
! [X2] : converse(composition(top,X2)) = composition(converse(X2),top),
inference(superposition,[],[f10,f1756]) ).
fof(f3949,plain,
complement(sF2) = join(complement(sF2),composition(converse(converse(sk1)),top)),
inference(forward_demodulation,[],[f3932,f1491]) ).
fof(f3932,plain,
complement(sF2) = join(complement(sF2),composition(converse(converse(sk1)),complement(zero))),
inference(superposition,[],[f22,f3898]) ).
fof(f3898,plain,
zero = composition(converse(sk1),sF2),
inference(superposition,[],[f3395,f20]) ).
fof(f3395,plain,
! [X2] : zero = composition(converse(sk1),composition(sF1,X2)),
inference(backward_demodulation,[],[f3013,f3393]) ).
fof(f3393,plain,
! [X9] : zero = composition(zero,X9),
inference(forward_demodulation,[],[f3392,f2702]) ).
fof(f2702,plain,
zero = converse(zero),
inference(superposition,[],[f2643,f2403]) ).
fof(f2643,plain,
! [X11] : join(X11,converse(zero)) = X11,
inference(forward_demodulation,[],[f2640,f8]) ).
fof(f2640,plain,
! [X11] : join(X11,converse(zero)) = converse(converse(X11)),
inference(superposition,[],[f124,f2580]) ).
fof(f2580,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f2579,f39]) ).
fof(f2579,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f2578,f12]) ).
fof(f2578,plain,
! [X0] : join(X0,complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f2575,f1]) ).
fof(f2575,plain,
! [X0] : join(X0,complement(join(complement(X0),X0))) = X0,
inference(superposition,[],[f25,f2453]) ).
fof(f2453,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[],[f1278,f2403]) ).
fof(f3392,plain,
! [X9] : converse(zero) = composition(converse(zero),X9),
inference(forward_demodulation,[],[f3366,f3358]) ).
fof(f3358,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f3332,f418]) ).
fof(f418,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f404,f413]) ).
fof(f413,plain,
one = converse(one),
inference(superposition,[],[f404,f6]) ).
fof(f404,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f386,f8]) ).
fof(f386,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f161,f6]) ).
fof(f161,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f10,f8]) ).
fof(f3366,plain,
! [X9] : converse(zero) = composition(converse(complement(composition(top,top))),X9),
inference(superposition,[],[f161,f3332]) ).
fof(f3013,plain,
! [X2] : composition(zero,X2) = composition(converse(sk1),composition(sF1,X2)),
inference(superposition,[],[f5,f3004]) ).
fof(f3004,plain,
zero = composition(converse(sk1),sF1),
inference(forward_demodulation,[],[f3003,f2403]) ).
fof(f3003,plain,
zero = join(zero,composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f3002,f39]) ).
fof(f3002,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f2978,f19]) ).
fof(f2978,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sF0))),
inference(superposition,[],[f22,f18]) ).
fof(f2515,plain,
! [X4,X5] : meet(X4,join(X4,X5)) = X4,
inference(forward_demodulation,[],[f2459,f2490]) ).
fof(f2490,plain,
! [X2,X3] : join(X2,X3) = join(complement(complement(X2)),X3),
inference(backward_demodulation,[],[f2433,f2441]) ).
fof(f2441,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(backward_demodulation,[],[f53,f2403]) ).
fof(f2433,plain,
! [X2,X3] : join(X2,X3) = join(meet(X2,top),X3),
inference(backward_demodulation,[],[f1918,f2403]) ).
fof(f1918,plain,
! [X2,X3] : join(X2,X3) = join(zero,join(meet(X2,top),X3)),
inference(superposition,[],[f2,f1829]) ).
fof(f1829,plain,
! [X10] : join(zero,meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1828,f39]) ).
fof(f1828,plain,
! [X10] : join(complement(top),meet(X10,top)) = X10,
inference(forward_demodulation,[],[f1822,f1]) ).
fof(f1822,plain,
! [X10] : join(meet(X10,top),complement(top)) = X10,
inference(superposition,[],[f25,f1633]) ).
fof(f2459,plain,
! [X4,X5] : meet(X4,join(complement(complement(X4)),X5)) = X4,
inference(backward_demodulation,[],[f1753,f2403]) ).
fof(f1753,plain,
! [X4,X5] : join(zero,meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1730,f39]) ).
fof(f1730,plain,
! [X4,X5] : join(complement(top),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(backward_demodulation,[],[f1319,f1705]) ).
fof(f1319,plain,
! [X4,X5] : join(complement(join(top,X5)),meet(X4,join(complement(complement(X4)),X5))) = X4,
inference(forward_demodulation,[],[f1267,f1]) ).
fof(f1267,plain,
! [X4,X5] : join(meet(X4,join(complement(complement(X4)),X5)),complement(join(top,X5))) = X4,
inference(superposition,[],[f25,f261]) ).
fof(f2566,plain,
! [X1] : join(meet(sF0,X1),meet(sF1,X1)) = X1,
inference(backward_demodulation,[],[f1296,f2557]) ).
fof(f2557,plain,
! [X0] : complement(join(sF0,complement(X0))) = meet(sF1,X0),
inference(superposition,[],[f4,f2513]) ).
fof(f2513,plain,
sF0 = complement(sF1),
inference(backward_demodulation,[],[f2497,f2453]) ).
fof(f2497,plain,
meet(sF0,sF0) = complement(sF1),
inference(forward_demodulation,[],[f2493,f19]) ).
fof(f2493,plain,
meet(sF0,sF0) = complement(complement(sF0)),
inference(backward_demodulation,[],[f2025,f2441]) ).
fof(f2025,plain,
meet(sF0,sF0) = meet(sF0,top),
inference(forward_demodulation,[],[f2015,f67]) ).
fof(f67,plain,
meet(sF0,top) = complement(join(zero,sF1)),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
meet(sF0,top) = complement(join(sF1,zero)),
inference(superposition,[],[f28,f39]) ).
fof(f2015,plain,
meet(sF0,sF0) = complement(join(zero,sF1)),
inference(backward_demodulation,[],[f57,f2003]) ).
fof(f2003,plain,
join(sF1,sF1) = join(zero,sF1),
inference(superposition,[],[f1914,f1285]) ).
fof(f1285,plain,
sF1 = meet(top,join(sF1,sF1)),
inference(forward_demodulation,[],[f1280,f19]) ).
fof(f1280,plain,
complement(sF0) = meet(top,join(sF1,sF1)),
inference(backward_demodulation,[],[f108,f1278]) ).
fof(f108,plain,
complement(join(zero,meet(sF0,sF0))) = meet(top,join(sF1,sF1)),
inference(forward_demodulation,[],[f95,f40]) ).
fof(f95,plain,
meet(join(sF1,sF1),top) = complement(join(zero,meet(sF0,sF0))),
inference(superposition,[],[f53,f57]) ).
fof(f1914,plain,
! [X0] : join(zero,meet(top,X0)) = X0,
inference(superposition,[],[f1829,f40]) ).
fof(f57,plain,
meet(sF0,sF0) = complement(join(sF1,sF1)),
inference(superposition,[],[f28,f19]) ).
fof(f1296,plain,
! [X1] : join(meet(sF0,X1),complement(join(sF0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f1243,f1]) ).
fof(f1243,plain,
! [X1] : join(meet(sF0,X1),complement(join(complement(X1),sF0))) = X1,
inference(superposition,[],[f25,f38]) ).
fof(f2516,plain,
! [X12] : complement(complement(X12)) = X12,
inference(forward_demodulation,[],[f2460,f2491]) ).
fof(f2491,plain,
! [X8] : complement(complement(X8)) = meet(X8,complement(complement(X8))),
inference(backward_demodulation,[],[f2484,f2441]) ).
fof(f2484,plain,
! [X8] : meet(X8,top) = meet(X8,meet(X8,top)),
inference(forward_demodulation,[],[f2483,f4]) ).
fof(f2483,plain,
! [X8] : meet(X8,top) = complement(join(complement(X8),complement(meet(X8,top)))),
inference(forward_demodulation,[],[f2437,f2403]) ).
fof(f2437,plain,
! [X8] : meet(X8,top) = join(zero,complement(join(complement(X8),complement(meet(X8,top))))),
inference(backward_demodulation,[],[f1308,f2403]) ).
fof(f1308,plain,
! [X8] : meet(X8,top) = join(zero,complement(join(zero,join(complement(X8),complement(meet(X8,top)))))),
inference(forward_demodulation,[],[f1307,f1]) ).
fof(f1307,plain,
! [X8] : meet(X8,top) = join(zero,complement(join(zero,join(complement(meet(X8,top)),complement(X8))))),
inference(forward_demodulation,[],[f1251,f283]) ).
fof(f283,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
! [X2,X3,X4] : join(X2,join(X3,X4)) = join(join(X3,X2),X4),
inference(superposition,[],[f2,f1]) ).
fof(f1251,plain,
! [X8] : meet(X8,top) = join(zero,complement(join(complement(meet(X8,top)),join(zero,complement(X8))))),
inference(superposition,[],[f25,f111]) ).
fof(f111,plain,
! [X5] : zero = meet(meet(X5,top),join(zero,complement(X5))),
inference(forward_demodulation,[],[f102,f40]) ).
fof(f102,plain,
! [X5] : zero = meet(join(zero,complement(X5)),meet(X5,top)),
inference(superposition,[],[f13,f53]) ).
fof(f2460,plain,
! [X12] : meet(X12,complement(complement(X12))) = X12,
inference(backward_demodulation,[],[f1326,f2403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL050-3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 19:34:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.oHIEU5sYd6/Vampire---4.8_1040
% 0.13/0.36 % (1166)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1169)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.20/0.42 % (1171)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)
% 0.20/0.42 % (1172)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)
% 0.20/0.42 % (1168)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.20/0.42 % (1170)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)
% 0.20/0.42 % (1167)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)
% 0.20/0.42 % (1173)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)
% 0.20/0.51 % (1170)First to succeed.
% 0.20/0.51 % (1170)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.51 % (1170)------------------------------
% 0.20/0.51 % (1170)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.51 % (1170)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.51 % (1170)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (1170)Memory used [KB]: 3582
% 0.20/0.51 % (1170)Time elapsed: 0.095 s
% 0.20/0.51 % (1170)------------------------------
% 0.20/0.51 % (1170)------------------------------
% 0.20/0.51 % (1166)Success in time 0.153 s
% 0.20/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------