TSTP Solution File: SWV448+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV448+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 : Fri May 19 12:20:44 EDT 2023
% Result : Theorem 55.84s 54.23s
% Output : Proof 55.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV448+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 19 03:16:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 55.84/54.23
% 55.84/54.23 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 55.84/54.23 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.84/54.23 %-----------------------------------------------------
% 55.84/54.23 ncf(matrix, plain, [(825 ^ _190535) ^ [] : [-(index(ldr, host(815 ^ [])) = host(815 ^ []))], (776 ^ _190535) ^ [] : [-(setIn(620 ^ [], alive))], (814 ^ _190535) ^ [] : [-(host(620 ^ []) = host(812 ^ []))], (655 ^ _190535) ^ [_191660, _191662] : [-(_191660 = _191662), setIn(_191662, alive), setIn(_191660, alive), index(ldr, host(_191662)) = host(_191662), index(status, host(_191662)) = norm, index(status, host(_191660)) = norm, index(ldr, host(_191660)) = host(_191660)], (681 ^ _190535) ^ [_192377, _192379, _192381] : [setIn(_192381, alive), index(ldr, host(_192381)) = host(_192381), index(status, host(_192381)) = norm, setIn(_192377, alive), elem(m_Down(_192379), queue(host(_192377))), leq(nbr_proc, index(pendack, host(_192377))), index(status, host(_192377)) = elec_2, host(_192379) = index(pendack, host(_192377))], (817 ^ _190535) ^ [] : [host(620 ^ []) = host(815 ^ [])], (811 ^ _190535) ^ [] : [setIn(host(809 ^ []), setEmpty)], (827 ^ _190535) ^ [] : [-(index(status, host(815 ^ [])) = norm)], (823 ^ _190535) ^ [] : [-(host(620 ^ []) = host(812 ^ []))], (774 ^ _190535) ^ [] : [-(queue(host(620 ^ [])) = cons(m_Down(621 ^ []), 618 ^ []))], (623 ^ _190535) ^ [_190648, _190650] : [elem(m_Ldr(_190648), queue(host(_190650))), leq(host(_190650), host(_190648))], (778 ^ _190535) ^ [] : [leq(host(620 ^ []), host(621 ^ []))], (819 ^ _190535) ^ [] : [-(setIn(812 ^ [], alive))], (711 ^ _190535) ^ [_193240, _193242, _193244] : [setIn(_193244, alive), index(ldr, host(_193244)) = host(_193244), index(status, host(_193244)) = norm, setIn(_193240, alive), elem(m_Ack(_193240, _193242), queue(host(_193240))), leq(nbr_proc, index(pendack, host(_193240))), index(status, host(_193240)) = elec_2, host(_193242) = index(pendack, host(_193240))], (806 ^ _190535) ^ [] : [-(index(status, host(620 ^ [])) = elec_1)], (808 ^ _190535) ^ [] : [-(leq(nbr_proc, host(620 ^ [])))], (780 ^ _190535) ^ [] : [index(ldr, host(620 ^ [])) = host(621 ^ []), index(status, host(620 ^ [])) = norm], (821 ^ _190535) ^ [] : [-(setIn(815 ^ [], alive))], (643 ^ _190535) ^ [_191269] : [-(index(elid, host(_191269)) = _191269), 646 ^ _190535 : [(649 ^ _190535) ^ [] : [index(status, host(_191269)) = elec_2], (647 ^ _190535) ^ [] : [index(status, host(_191269)) = elec_1]], setIn(_191269, alive)], (829 ^ _190535) ^ [] : [815 ^ [] = 812 ^ []], (741 ^ _190535) ^ [_194105, _194107, _194109] : [setIn(_194109, alive), index(ldr, host(_194109)) = host(_194109), index(status, host(_194109)) = norm, 745 ^ _190535 : [(748 ^ _190535) ^ [] : [-(leq(s(zero), 744 ^ [_194105, _194107, _194109]))], (750 ^ _190535) ^ [] : [setIn(744 ^ [_194105, _194107, _194109], index(down, host(_194105)))], (752 ^ _190535) ^ [] : [744 ^ [_194105, _194107, _194109] = host(_194107)], (746 ^ _190535) ^ [] : [leq(host(_194105), 744 ^ [_194105, _194107, _194109])]], -(leq(host(_194105), host(_194109))), elem(m_Down(_194107), queue(host(_194105))), index(status, host(_194105)) = elec_1], (629 ^ _190535) ^ [_190879, _190881] : [-(_190879 = _190881), host(_190879) = host(_190881), setIn(_190881, alive), setIn(_190879, alive)], (786 ^ _190535) ^ [] : [index(status, host(620 ^ [])) = wait, host(621 ^ []) = host(index(elid, host(620 ^ [])))], (792 ^ _190535) ^ [_195614] : [-(leq(host(620 ^ []), _195614)), leq(s(zero), _195614), -(setIn(_195614, index(down, host(620 ^ [])))), -(_195614 = host(621 ^ []))], !, (124 ^ _164875) ^ [_169093, _169095, _169097, _169099] : [-(snoc(_169099, _169095) = snoc(_169097, _169093)), _169099 = _169097, _169095 = _169093], (322 ^ _164875) ^ [_176627, _176629, _176631, _176633] : [-(_176633 = _176631), m_Ack(_176633, _176629) = m_Ack(_176631, _176627)], (178 ^ _164875) ^ [_171014, _171016] : [_171016 = _171014, -(s(_171016) = s(_171014))], (112 ^ _164875) ^ [_168629, _168631] : [_168631 = _168629, -(last(_168631) = last(_168629))], (328 ^ _164875) ^ [_176893, _176895, _176897, _176899] : [-(_176895 = _176893), m_Ack(_176899, _176895) = m_Ack(_176897, _176893)], (342 ^ _164875) ^ [_177390, _177392] : [-(head(cons(_177392, _177390)) = _177392)], (390 ^ _164875) ^ [_179340, _179342, _179344] : [elem(_179344, snoc(_179340, _179342)), -(_179344 = _179342), -(elem(_179344, _179340))], (559 ^ _164875) ^ [_185164, _185166] : [-(_185166 = _185164), leq(_185166, _185164), leq(_185164, _185166)], (364 ^ _164875) ^ [_178291, _178293] : [q_nil = snoc(_178291, _178293)], (480 ^ _164875) ^ [_182422, _182424] : [ordered(snoc(_182422, _182424)), 483 ^ _164875 : [(486 ^ _164875) ^ [_182661] : [-(leq(pidMsg(_182661), pidMsg(_182424))), elem(_182661, _182422), pidElem(_182424), pidElem(_182661), host(pidMsg(_182661)) = host(pidMsg(_182424))], (484 ^ _164875) ^ [] : [-(ordered(_182422))]]], (286 ^ _164875) ^ [_175347, _175349] : [-(_175349 = _175347), m_NotNorm(_175349) = m_NotNorm(_175347)], (370 ^ _164875) ^ [_178579] : [elem(_178579, q_nil)], (248 ^ _164875) ^ [_173769, _173771] : [m_Down(_173771) = m_NotNorm(_173769)], (68 ^ _164875) ^ [_167109, _167111, _167113, _167115] : [-(setIn(_167113, _167109)), setIn(_167115, _167111), _167115 = _167113, _167111 = _167109], (268 ^ _164875) ^ [_174667, _174669] : [-(m_Halt(_174669) = m_Halt(_174667)), _174669 = _174667], (252 ^ _164875) ^ [_173963, _173965] : [m_NormQ(_173965) = m_Halt(_173963)], (246 ^ _164875) ^ [_173672, _173674] : [m_Down(_173674) = m_Ldr(_173672)], (222 ^ _164875) ^ [] : [elec_1 = wait], (334 ^ _164875) ^ [_177131, _177133] : [-(host(_177133) = host(_177131)), _177133 = _177131], (292 ^ _164875) ^ [_175521, _175523] : [-(m_NotNorm(_175523) = m_NotNorm(_175521)), _175523 = _175521], (146 ^ _164875) ^ [_169888, _169890, _169892, _169894] : [-(m_Ack(_169894, _169890) = m_Ack(_169892, _169888)), _169894 = _169892, _169890 = _169888], (316 ^ _164875) ^ [_176375, _176377] : [-(m_Down(_176377) = m_Down(_176375)), _176377 = _176375], (214 ^ _164875) ^ [_172370] : [-(leq(s(zero), host(_172370)))], (433 ^ _164875) ^ [_180752] : [-(ordered(cons(_180752, q_nil)))], (437 ^ _164875) ^ [_180938, _180940] : [ordered(cons(_180940, _180938)), 440 ^ _164875 : [(443 ^ _164875) ^ [_181177] : [-(leq(pidMsg(_180940), pidMsg(_181177))), elem(_181177, _180938), pidElem(_180940), pidElem(_181177), host(pidMsg(_181177)) = host(pidMsg(_180940))], (441 ^ _164875) ^ [] : [-(ordered(_180938))]]], (4 ^ _164875) ^ [_165106, _165108] : [_165108 = _165106, -(_165106 = _165108)], (461 ^ _164875) ^ [_181655, _181657] : [-(ordered(cons(_181657, _181655))), ordered(_181655), 467 ^ _164875 : [(468 ^ _164875) ^ [] : [-(elem(466 ^ [_181655, _181657], _181655))], (472 ^ _164875) ^ [] : [-(pidElem(466 ^ [_181655, _181657]))], (476 ^ _164875) ^ [] : [leq(pidMsg(_181657), pidMsg(466 ^ [_181655, _181657]))], (474 ^ _164875) ^ [] : [-(host(pidMsg(466 ^ [_181655, _181657])) = host(pidMsg(_181657)))], (470 ^ _164875) ^ [] : [-(pidElem(_181657))]]], (208 ^ _164875) ^ [_172168, _172170] : [s(host(_172170)) = host(_172168), host(_172170) = host(_172168)], (82 ^ _164875) ^ [_167539, _167541] : [_167541 = _167539, -(m_NormQ(_167541) = m_NormQ(_167539))], (280 ^ _164875) ^ [_175094, _175096] : [-(m_NormQ(_175096) = m_NormQ(_175094)), _175096 = _175094], (242 ^ _164875) ^ [_173478, _173480] : [m_NotNorm(_173480) = m_Halt(_173478)], (2 ^ _164875) ^ [_164999] : [-(_164999 = _164999)], (250 ^ _164875) ^ [_173866, _173868] : [m_Down(_173868) = m_NormQ(_173866)], (238 ^ _164875) ^ [_173264, _173266, _173268] : [m_Ack(_173268, _173266) = m_Ldr(_173264)], (140 ^ _164875) ^ [_169642, _169644] : [_169644 = _169642, -(m_Ldr(_169644) = m_Ldr(_169642))], (382 ^ _164875) ^ [_178997, _178999, _179001] : [383 ^ _164875 : [(386 ^ _164875) ^ [] : [elem(_179001, _178997)], (384 ^ _164875) ^ [] : [_179001 = _178999]], -(elem(_179001, cons(_178999, _178997)))], (54 ^ _164875) ^ [_166685, _166687, _166689, _166691] : [-(leq(_166689, _166685)), leq(_166691, _166687), _166691 = _166689, _166687 = _166685], (200 ^ _164875) ^ [_171869, _171871] : [elem(m_Ack(_171871, _171869), queue(host(_171871))), 203 ^ _164875 : [(206 ^ _164875) ^ [] : [-(setIn(_171869, pids))], (204 ^ _164875) ^ [] : [-(setIn(_171871, pids))]]], (232 ^ _164875) ^ [_172922, _172924, _172926] : [m_Ack(_172926, _172924) = m_Halt(_172922)], (535 ^ _164875) ^ [_184345, _184347, _184349] : [-(leq(_184347, _184345)), ordered(cons(m_Halt(_184347), _184349)), host(_184347) = host(_184345), elem(m_Down(_184345), _184349)], (100 ^ _164875) ^ [_168193, _168195] : [_168195 = _168193, -(tail(_168195) = tail(_168193))], (194 ^ _164875) ^ [_171571, _171573] : [_171573 = _171571, -(host(_171573) = host(_171571))], (340 ^ _164875) ^ [] : [setIn(nil, alive)], (408 ^ _164875) ^ [_179923] : [pidElem(_179923), -(_179923 = m_Halt(411 ^ [_179923])), -(_179923 = m_Down(411 ^ [_179923]))], (348 ^ _164875) ^ [_177687, _177689] : [-(init(snoc(_177687, _177689)) = _177687)], (344 ^ _164875) ^ [_177489, _177491] : [-(tail(cons(_177491, _177489)) = _177489)], (20 ^ _164875) ^ [_165623, _165625] : [-(pidElem(_165623)), _165625 = _165623, pidElem(_165625)], (220 ^ _164875) ^ [] : [elec_1 = elec_2], (310 ^ _164875) ^ [_176201, _176203] : [-(_176203 = _176201), m_Down(_176203) = m_Down(_176201)], (346 ^ _164875) ^ [_177588, _177590] : [-(last(snoc(_177588, _177590)) = _177590)], (304 ^ _164875) ^ [_175948, _175950] : [-(m_Ldr(_175950) = m_Ldr(_175948)), _175950 = _175948], (156 ^ _164875) ^ [_170219, _170221] : [_170221 = _170219, -(queue(_170221) = queue(_170219))], (172 ^ _164875) ^ [_170796, _170798] : [_170798 = _170796, -(m_Down(_170798) = m_Down(_170796))], (236 ^ _164875) ^ [_173150, _173152, _173154] : [m_Ack(_173154, _173152) = m_NotNorm(_173150)], (350 ^ _164875) ^ [_177787] : [-(_177787 = q_nil), -(_177787 = cons(head(_177787), tail(_177787)))], (356 ^ _164875) ^ [_177992] : [-(_177992 = q_nil), -(_177992 = snoc(init(_177992), last(_177992)))], (94 ^ _164875) ^ [_167975, _167977] : [_167977 = _167975, -(head(_167977) = head(_167975))], (419 ^ _164875) ^ [_180237] : [420 ^ _164875 : [(423 ^ _164875) ^ [_180381] : [_180237 = m_Down(_180381)], (421 ^ _164875) ^ [_180334] : [_180237 = m_Halt(_180334)]], -(pidElem(_180237))], (184 ^ _164875) ^ [_171260, _171262, _171264, _171266] : [-(index(_171266, _171262) = index(_171264, _171260)), _171266 = _171264, _171262 = _171260], (244 ^ _164875) ^ [_173575, _173577] : [m_Down(_173577) = m_Halt(_173575)], (218 ^ _164875) ^ [_172503] : [-(leq(host(_172503), nbr_proc))], (10 ^ _164875) ^ [_165310, _165312, _165314] : [-(_165314 = _165310), _165314 = _165312, _165312 = _165310], (617 ^ _164875) ^ [_186977] : [setIn(_186977, setEmpty)], (429 ^ _164875) ^ [_180597] : [-(pidMsg(m_Down(_180597)) = _180597)], (577 ^ _164875) ^ [_185716, _185718, _185720] : [-(leq(_185720, _185716)), leq(_185720, _185718), leq(_185718, _185716)], (216 ^ _164875) ^ [] : [-(leq(s(zero), nbr_proc))], (260 ^ _164875) ^ [_174351, _174353] : [m_NormQ(_174353) = m_NotNorm(_174351)], (30 ^ _164875) ^ [_165918, _165920] : [-(ordered(_165918)), _165920 = _165918, ordered(_165920)], (40 ^ _164875) ^ [_166241, _166243, _166245, _166247] : [-(elem(_166245, _166241)), elem(_166247, _166243), _166247 = _166245, _166243 = _166241], (258 ^ _164875) ^ [_174254, _174256] : [m_Ldr(_174256) = m_NotNorm(_174254)], (553 ^ _164875) ^ [_184924, _184926] : [-(leq(_184926, _184924)), -(leq(_184924, _184926))], (587 ^ _164875) ^ [_186054, _186056] : [leq(_186056, _186054), -(leq(s(_186056), s(_186054)))], (368 ^ _164875) ^ [_178486, _178488, _178490] : [-(snoc(cons(_178490, _178486), _178488) = cons(_178490, snoc(_178486, _178488)))], (366 ^ _164875) ^ [_178374] : [-(cons(_178374, q_nil) = snoc(q_nil, _178374))], (274 ^ _164875) ^ [_174920, _174922] : [-(_174922 = _174920), m_NormQ(_174922) = m_NormQ(_174920)], (298 ^ _164875) ^ [_175774, _175776] : [-(_175776 = _175774), m_Ldr(_175776) = m_Ldr(_175774)], (435 ^ _164875) ^ [_180798] : [-(ordered(snoc(q_nil, _180798)))], (593 ^ _164875) ^ [_186224, _186226] : [leq(s(_186226), s(_186224)), -(leq(_186226, _186224))], (549 ^ _164875) ^ [_184737] : [leq(s(_184737), _184737)], (523 ^ _164875) ^ [_183891, _183893, _183895] : [ordered(_183895), -(ordered(snoc(_183895, m_Ack(_183893, _183891))))], (599 ^ _164875) ^ [_186473, _186475] : [leq(_186475, s(_186473)), -(_186475 = s(_186473)), -(leq(_186475, _186473))], (254 ^ _164875) ^ [_174060, _174062] : [m_Ldr(_174062) = m_Halt(_174060)], (362 ^ _164875) ^ [_178195, _178197] : [q_nil = cons(_178197, _178195)], (106 ^ _164875) ^ [_168411, _168413] : [_168413 = _168411, -(init(_168413) = init(_168411))], (134 ^ _164875) ^ [_169424, _169426] : [_169426 = _169424, -(m_Halt(_169426) = m_Halt(_169424))], (256 ^ _164875) ^ [_174157, _174159] : [m_Ldr(_174159) = m_NormQ(_174157)], (427 ^ _164875) ^ [_180515] : [-(pidMsg(m_Halt(_180515)) = _180515)], (88 ^ _164875) ^ [_167757, _167759] : [_167759 = _167757, -(m_NotNorm(_167759) = m_NotNorm(_167757))], (372 ^ _164875) ^ [_178729, _178731, _178733] : [elem(_178733, cons(_178731, _178729)), -(_178733 = _178731), -(elem(_178733, _178729))], (162 ^ _164875) ^ [_170465, _170467, _170469, _170471] : [-(cons(_170471, _170467) = cons(_170469, _170465)), _170471 = _170469, _170467 = _170465], (262 ^ _164875) ^ [_174493, _174495] : [-(_174495 = _174493), m_Halt(_174495) = m_Halt(_174493)], (228 ^ _164875) ^ [] : [elec_2 = norm], (609 ^ _164875) ^ [_186733, _186735] : [610 ^ _164875 : [(613 ^ _164875) ^ [] : [leq(_186735, _186733)], (611 ^ _164875) ^ [] : [_186735 = s(_186733)]], -(leq(_186735, s(_186733)))], (431 ^ _164875) ^ [] : [-(ordered(q_nil))], (400 ^ _164875) ^ [_179608, _179610, _179612] : [401 ^ _164875 : [(404 ^ _164875) ^ [] : [elem(_179612, _179608)], (402 ^ _164875) ^ [] : [_179612 = _179610]], -(elem(_179612, snoc(_179608, _179610)))], (226 ^ _164875) ^ [] : [elec_2 = wait], (569 ^ _164875) ^ [_185415, _185417] : [_185417 = _185415, 572 ^ _164875 : [(575 ^ _164875) ^ [] : [-(leq(_185415, _185417))], (573 ^ _164875) ^ [] : [-(leq(_185417, _185415))]]], (551 ^ _164875) ^ [_184817] : [-(leq(_184817, _184817))], (224 ^ _164875) ^ [] : [elec_1 = norm], (504 ^ _164875) ^ [_183139, _183141] : [-(ordered(snoc(_183139, _183141))), ordered(_183139), 510 ^ _164875 : [(511 ^ _164875) ^ [] : [-(elem(509 ^ [_183139, _183141], _183139))], (515 ^ _164875) ^ [] : [-(pidElem(509 ^ [_183139, _183141]))], (519 ^ _164875) ^ [] : [leq(pidMsg(509 ^ [_183139, _183141]), pidMsg(_183141))], (517 ^ _164875) ^ [] : [-(host(pidMsg(509 ^ [_183139, _183141])) = host(pidMsg(_183141)))], (513 ^ _164875) ^ [] : [-(pidElem(_183141))]]], (529 ^ _164875) ^ [_184115, _184117] : [ordered(_184117), -(ordered(snoc(_184117, m_Ldr(_184115))))], (230 ^ _164875) ^ [] : [norm = wait], (240 ^ _164875) ^ [_173378, _173380, _173382] : [m_Ack(_173382, _173380) = m_NormQ(_173378)], (118 ^ _164875) ^ [_168847, _168849] : [_168849 = _168847, -(pidMsg(_168849) = pidMsg(_168847))], (234 ^ _164875) ^ [_173036, _173038, _173040] : [m_Ack(_173040, _173038) = m_Down(_173036)]], input).
% 55.84/54.23 ncf('1',plain,[-(index(ldr, host(815 ^ [])) = host(815 ^ []))],start(825 ^ 0)).
% 55.84/54.23 ncf('1.1',plain,[index(ldr, host(815 ^ [])) = host(815 ^ []), setIn(815 ^ [], alive), index(status, host(815 ^ [])) = norm, 748 : -(leq(s(zero), 744 ^ [620 ^ [], 621 ^ [], 815 ^ []])), 748 : -(leq(host(620 ^ []), host(815 ^ []))), 748 : elem(m_Down(621 ^ []), queue(host(620 ^ []))), 748 : index(status, host(620 ^ [])) = elec_1],extension(741 ^ 1,bind([[_194105, _194107, _194109], [620 ^ [], 621 ^ [], 815 ^ []]]))).
% 55.84/54.23 ncf('1.1.1',plain,[-(setIn(815 ^ [], alive))],extension(821 ^ 2)).
% 55.84/54.23 ncf('1.1.2',plain,[-(index(status, host(815 ^ [])) = norm)],extension(827 ^ 2)).
% 55.84/54.23 ncf('1.1.3',plain,[leq(s(zero), 744 ^ [620 ^ [], 621 ^ [], 815 ^ []]), -(leq(host(620 ^ []), 744 ^ [620 ^ [], 621 ^ [], 815 ^ []])), -(setIn(744 ^ [620 ^ [], 621 ^ [], 815 ^ []], index(down, host(620 ^ [])))), -(744 ^ [620 ^ [], 621 ^ [], 815 ^ []] = host(621 ^ []))],extension(792 ^ 4,bind([[_195614], [744 ^ [620 ^ [], 621 ^ [], 815 ^ []]]]))).
% 55.84/54.23 ncf('1.1.3.1',plain,[leq(host(620 ^ []), 744 ^ [620 ^ [], 621 ^ [], 815 ^ []])],extension(746 ^ 5)).
% 55.84/54.23 ncf('1.1.3.2',plain,[setIn(744 ^ [620 ^ [], 621 ^ [], 815 ^ []], index(down, host(620 ^ [])))],extension(750 ^ 5)).
% 55.84/54.23 ncf('1.1.3.3',plain,[744 ^ [620 ^ [], 621 ^ [], 815 ^ []] = host(621 ^ [])],extension(752 ^ 5)).
% 55.84/54.23 ncf('1.1.4',plain,[leq(host(620 ^ []), host(815 ^ [])), -(host(620 ^ []) = host(815 ^ [])), leq(host(815 ^ []), host(620 ^ []))],extension(559 ^ 2,bind([[_185164, _185166], [host(815 ^ []), host(620 ^ [])]]))).
% 55.84/54.23 ncf('1.1.4.1',plain,[host(620 ^ []) = host(815 ^ [])],extension(817 ^ 3)).
% 55.84/54.23 ncf('1.1.4.2',plain,[-(leq(host(815 ^ []), host(620 ^ []))), leq(host(815 ^ []), nbr_proc), leq(nbr_proc, host(620 ^ []))],extension(577 ^ 3,bind([[_185716, _185718, _185720], [host(620 ^ []), nbr_proc, host(815 ^ [])]]))).
% 55.84/54.23 ncf('1.1.4.2.1',plain,[-(leq(host(815 ^ []), nbr_proc))],extension(218 ^ 4,bind([[_172503], [815 ^ []]]))).
% 55.84/54.23 ncf('1.1.4.2.2',plain,[-(leq(nbr_proc, host(620 ^ [])))],extension(808 ^ 4)).
% 55.84/54.23 ncf('1.1.5',plain,[-(elem(m_Down(621 ^ []), queue(host(620 ^ [])))), elem(m_Down(621 ^ []), snoc(queue(host(620 ^ [])), m_Down(621 ^ []))), -(m_Down(621 ^ []) = m_Down(621 ^ []))],extension(390 ^ 2,bind([[_179340, _179342, _179344], [queue(host(620 ^ [])), m_Down(621 ^ []), m_Down(621 ^ [])]]))).
% 55.84/54.23 ncf('1.1.5.1',plain,[-(elem(m_Down(621 ^ []), snoc(queue(host(620 ^ [])), m_Down(621 ^ [])))), 402 : m_Down(621 ^ []) = m_Down(621 ^ [])],extension(400 ^ 3,bind([[_179608, _179610, _179612], [queue(host(620 ^ [])), m_Down(621 ^ []), m_Down(621 ^ [])]]))).
% 55.84/54.23 ncf('1.1.5.1.1',plain,[-(m_Down(621 ^ []) = m_Down(621 ^ []))],extension(2 ^ 6,bind([[_164999], [m_Down(621 ^ [])]]))).
% 55.84/54.23 ncf('1.1.5.2',plain,[m_Down(621 ^ []) = m_Down(621 ^ []), -(elem(m_Down(621 ^ []), queue(host(620 ^ [])))), elem(m_Down(621 ^ []), cons(m_Down(621 ^ []), 618 ^ [])), cons(m_Down(621 ^ []), 618 ^ []) = queue(host(620 ^ []))],extension(40 ^ 3,bind([[_166241, _166243, _166245, _166247], [queue(host(620 ^ [])), cons(m_Down(621 ^ []), 618 ^ []), m_Down(621 ^ []), m_Down(621 ^ [])]]))).
% 55.84/54.23 ncf('1.1.5.2.1',plain,[elem(m_Down(621 ^ []), queue(host(620 ^ [])))],reduction('1.1')).
% 55.84/54.23 ncf('1.1.5.2.2',plain,[-(elem(m_Down(621 ^ []), cons(m_Down(621 ^ []), 618 ^ []))), 384 : m_Down(621 ^ []) = m_Down(621 ^ [])],extension(382 ^ 4,bind([[_178997, _178999, _179001], [618 ^ [], m_Down(621 ^ []), m_Down(621 ^ [])]]))).
% 55.84/54.23 ncf('1.1.5.2.2.1',plain,[-(m_Down(621 ^ []) = m_Down(621 ^ []))],reduction('1.1.5')).
% 55.84/54.23 ncf('1.1.5.2.3',plain,[-(cons(m_Down(621 ^ []), 618 ^ []) = queue(host(620 ^ []))), queue(host(620 ^ [])) = cons(m_Down(621 ^ []), 618 ^ [])],extension(4 ^ 4,bind([[_165106, _165108], [cons(m_Down(621 ^ []), 618 ^ []), queue(host(620 ^ []))]]))).
% 55.84/54.23 ncf('1.1.5.2.3.1',plain,[-(queue(host(620 ^ [])) = cons(m_Down(621 ^ []), 618 ^ []))],extension(774 ^ 5)).
% 55.84/54.23 ncf('1.1.6',plain,[-(index(status, host(620 ^ [])) = elec_1)],extension(806 ^ 2)).
% 55.84/54.23 %-----------------------------------------------------
% 55.84/54.23 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------