TSTP Solution File: SWV365+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 12:20:30 EDT 2023

% Result   : Theorem 101.11s 98.51s
% Output   : Proof 101.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.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 02:36:24 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 101.11/98.51  
% 101.11/98.51  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.11/98.51  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.11/98.51  %-----------------------------------------------------
% 101.11/98.51  ncf(matrix, plain, [(986 ^ _164332) ^ [] : [i(triple(981 ^ [], create_slb, 983 ^ [])) = i(triple(982 ^ [], create_slb, 984 ^ []))], (262 ^ _164332) ^ [_172752, _172754, _172756, _172758] : [-(findmin_pq_eff(_172758, _172754) = findmin_pq_eff(_172756, _172752)), _172758 = _172756, _172754 = _172752], (272 ^ _164332) ^ [_173111, _173113, _173115, _173117] : [-(findmin_pq_res(_173117, _173113) = findmin_pq_res(_173115, _173111)), _173117 = _173115, _173113 = _173111], (282 ^ _164332) ^ [_173470, _173472, _173474, _173476] : [-(removemin_pq_eff(_173476, _173472) = removemin_pq_eff(_173474, _173470)), _173476 = _173474, _173472 = _173470], (292 ^ _164332) ^ [_173829, _173831, _173833, _173835] : [-(remove_pq(_173835, _173831) = remove_pq(_173833, _173829)), _173835 = _173833, _173831 = _173829], (302 ^ _164332) ^ [_174188, _174190, _174192, _174194] : [-(removemin_pq_res(_174194, _174190) = removemin_pq_res(_174192, _174188)), _174194 = _174192, _174190 = _174188], (312 ^ _164332) ^ [_174547, _174549, _174551, _174553] : [-(insert_cpq(_174553, _174549) = insert_cpq(_174551, _174547)), _174553 = _174551, _174549 = _174547], (322 ^ _164332) ^ [_174906, _174908, _174910, _174912] : [-(insert_pqp(_174912, _174908) = insert_pqp(_174910, _174906)), _174912 = _174910, _174908 = _174906], (332 ^ _164332) ^ [_175265, _175267, _175269, _175271] : [-(remove_pqp(_175271, _175267) = remove_pqp(_175269, _175265)), _175271 = _175269, _175267 = _175265], (342 ^ _164332) ^ [_175624, _175626, _175628, _175630] : [-(remove_slb(_175630, _175626) = remove_slb(_175628, _175624)), _175630 = _175628, _175626 = _175624], (352 ^ _164332) ^ [_175983, _175985, _175987, _175989] : [-(lookup_slb(_175989, _175985) = lookup_slb(_175987, _175983)), _175989 = _175987, _175985 = _175983], (362 ^ _164332) ^ [_176342, _176344, _176346, _176348] : [-(update_slb(_176348, _176344) = update_slb(_176346, _176342)), _176348 = _176346, _176344 = _176342], (372 ^ _164332) ^ [_176673, _176675] : [_176675 = _176673, -(findmin_pqp_res(_176675) = findmin_pqp_res(_176673))], (378 ^ _164332) ^ [_176891, _176893] : [_176893 = _176891, -(removemin_cpq_eff(_176893) = removemin_cpq_eff(_176891))], (384 ^ _164332) ^ [_177137, _177139, _177141, _177143] : [-(remove_cpq(_177143, _177139) = remove_cpq(_177141, _177137)), _177143 = _177141, _177139 = _177137], (394 ^ _164332) ^ [_177468, _177470] : [_177470 = _177468, -(findmin_cpq_eff(_177470) = findmin_cpq_eff(_177468))], (400 ^ _164332) ^ [_177686, _177688] : [_177688 = _177686, -(removemin_cpq_res(_177688) = removemin_cpq_res(_177686))], (406 ^ _164332) ^ [_177904, _177906] : [_177906 = _177904, -(findmin_cpq_res(_177906) = findmin_cpq_res(_177904))], (412 ^ _164332) ^ [_178150, _178152, _178154, _178156] : [-(insert_slb(_178156, _178152) = insert_slb(_178154, _178150)), _178156 = _178154, _178152 = _178150], (422 ^ _164332) ^ [_178509, _178511, _178513, _178515] : [-(pair(_178515, _178511) = pair(_178513, _178509)), _178515 = _178513, _178511 = _178509], (432 ^ _164332) ^ [_178868, _178870, _178872, _178874] : [-(insert_pq(_178874, _178870) = insert_pq(_178872, _178868)), _178874 = _178872, _178870 = _178868], (442 ^ _164332) ^ [_179199, _179201] : [_179201 = _179199, -(i(_179201) = i(_179199))], (448 ^ _164332) ^ [_179453, _179455, _179457, _179459, _179461, _179463] : [-(triple(_179463, _179459, _179455) = triple(_179461, _179457, _179453)), _179463 = _179461, _179459 = _179457, _179455 = _179453], (2 ^ _164332) ^ [_164476] : [-(_164476 = _164476)], (4 ^ _164332) ^ [_164583, _164585] : [_164585 = _164583, -(_164583 = _164585)], (10 ^ _164332) ^ [_164787, _164789, _164791] : [-(_164791 = _164787), _164791 = _164789, _164789 = _164787], (20 ^ _164332) ^ [_165100, _165102] : [-(isnonempty_pq(_165100)), _165102 = _165100, isnonempty_pq(_165102)], (30 ^ _164332) ^ [_165395, _165397] : [-(isnonempty_slb(_165395)), _165397 = _165395, isnonempty_slb(_165397)], (40 ^ _164332) ^ [_165746, _165748, _165750, _165752, _165754, _165756] : [-(pair_in_list(_165754, _165750, _165746)), pair_in_list(_165756, _165752, _165748), _165756 = _165754, _165752 = _165750, _165748 = _165746], (58 ^ _164332) ^ [_166327, _166329, _166331, _166333] : [-(contains_cpq(_166331, _166327)), contains_cpq(_166333, _166329), _166333 = _166331, _166329 = _166327], (72 ^ _164332) ^ [_166771, _166773, _166775, _166777] : [-(strictly_less_than(_166775, _166771)), strictly_less_than(_166777, _166773), _166777 = _166775, _166773 = _166771], (86 ^ _164332) ^ [_167215, _167217, _167219, _167221] : [-(contains_slb(_167219, _167215)), contains_slb(_167221, _167217), _167221 = _167219, _167217 = _167215], (100 ^ _164332) ^ [_167659, _167661, _167663, _167665] : [-(less_than(_167663, _167659)), less_than(_167665, _167661), _167665 = _167663, _167661 = _167659], (114 ^ _164332) ^ [_168103, _168105, _168107, _168109] : [-(pi_remove(_168107, _168103)), pi_remove(_168109, _168105), _168109 = _168107, _168105 = _168103], (128 ^ _164332) ^ [_168547, _168549, _168551, _168553] : [-(pi_sharp_remove(_168551, _168547)), pi_sharp_remove(_168553, _168549), _168553 = _168551, _168549 = _168547], (142 ^ _164332) ^ [_168963, _168965] : [-(pi_find_min(_168963)), _168965 = _168963, pi_find_min(_168965)], (152 ^ _164332) ^ [_169286, _169288, _169290, _169292] : [-(pi_sharp_removemin(_169290, _169286)), pi_sharp_removemin(_169292, _169288), _169292 = _169290, _169288 = _169286], (166 ^ _164332) ^ [_169730, _169732, _169734, _169736] : [-(contains_pq(_169734, _169730)), contains_pq(_169736, _169732), _169736 = _169734, _169732 = _169730], (180 ^ _164332) ^ [_170174, _170176, _170178, _170180] : [-(issmallestelement_pq(_170178, _170174)), issmallestelement_pq(_170180, _170176), _170180 = _170178, _170176 = _170174], (194 ^ _164332) ^ [_170590, _170592] : [-(pi_removemin(_170590)), _170592 = _170590, pi_removemin(_170592)], (204 ^ _164332) ^ [_170913, _170915, _170917, _170919] : [-(pi_sharp_find_min(_170917, _170913)), pi_sharp_find_min(_170919, _170915), _170919 = _170917, _170915 = _170913], (218 ^ _164332) ^ [_171329, _171331] : [-(phi(_171329)), _171331 = _171329, phi(_171331)], (228 ^ _164332) ^ [_171652, _171654, _171656, _171658] : [-(succ_cpq(_171656, _171652)), succ_cpq(_171658, _171654), _171658 = _171656, _171654 = _171652], (242 ^ _164332) ^ [_172068, _172070] : [-(ok(_172068)), _172070 = _172068, ok(_172070)], (252 ^ _164332) ^ [_172343, _172345] : [-(check_cpq(_172343)), _172345 = _172343, check_cpq(_172345)], (462 ^ _164332) ^ [_180068, _180070, _180072] : [-(less_than(_180072, _180068)), less_than(_180072, _180070), less_than(_180070, _180068)], (472 ^ _164332) ^ [_180377, _180379] : [-(less_than(_180379, _180377)), -(less_than(_180377, _180379))], (478 ^ _164332) ^ [_180559] : [-(less_than(_180559, _180559))], (498 ^ _164332) ^ [_181188] : [-(less_than(bottom, _181188))], (480 ^ _164332) ^ [_180695, _180697] : [strictly_less_than(_180697, _180695), 483 ^ _164332 : [(484 ^ _164332) ^ [] : [-(less_than(_180697, _180695))], (486 ^ _164332) ^ [] : [less_than(_180695, _180697)]]], (488 ^ _164332) ^ [_180933, _180935] : [-(strictly_less_than(_180935, _180933)), less_than(_180935, _180933), -(less_than(_180933, _180935))], (500 ^ _164332) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _164332) ^ [_181360, _181362] : [-(isnonempty_pq(insert_pq(_181362, _181360)))], (504 ^ _164332) ^ [_181441] : [contains_pq(create_pq, _181441)], (516 ^ _164332) ^ [_181859, _181861, _181863] : [517 ^ _164332 : [(518 ^ _164332) ^ [] : [contains_pq(_181863, _181859)], (520 ^ _164332) ^ [] : [_181861 = _181859]], -(contains_pq(insert_pq(_181863, _181861), _181859))], (506 ^ _164332) ^ [_181591, _181593, _181595] : [contains_pq(insert_pq(_181595, _181593), _181591), -(contains_pq(_181595, _181591)), -(_181593 = _181591)], (534 ^ _164332) ^ [_182502, _182504] : [536 ^ _164332 : [(537 ^ _164332) ^ [] : [-(contains_pq(_182504, 535 ^ [_182502, _182504]))], (539 ^ _164332) ^ [] : [less_than(_182502, 535 ^ [_182502, _182504])]], -(issmallestelement_pq(_182504, _182502))], (524 ^ _164332) ^ [_182188, _182190] : [issmallestelement_pq(_182190, _182188), 527 ^ _164332 : [(528 ^ _164332) ^ [_182325] : [contains_pq(_182190, _182325), -(less_than(_182188, _182325))]]], (543 ^ _164332) ^ [_182844, _182846] : [-(remove_pq(insert_pq(_182846, _182844), _182844) = _182846)], (545 ^ _164332) ^ [_182973, _182975, _182977] : [-(remove_pq(insert_pq(_182977, _182975), _182973) = insert_pq(remove_pq(_182977, _182973), _182975)), contains_pq(_182977, _182973), -(_182975 = _182973)], (555 ^ _164332) ^ [_183309, _183311] : [-(findmin_pq_eff(_183311, _183309) = _183311), contains_pq(_183311, _183309), issmallestelement_pq(_183311, _183309)], (565 ^ _164332) ^ [_183614, _183616] : [-(findmin_pq_res(_183616, _183614) = _183614), contains_pq(_183616, _183614), issmallestelement_pq(_183616, _183614)], (575 ^ _164332) ^ [_183919, _183921] : [-(removemin_pq_eff(_183921, _183919) = remove_pq(_183921, _183919)), contains_pq(_183921, _183919), issmallestelement_pq(_183921, _183919)], (595 ^ _164332) ^ [_184514, _184516, _184518] : [-(insert_pq(insert_pq(_184518, _184516), _184514) = insert_pq(insert_pq(_184518, _184514), _184516))], (585 ^ _164332) ^ [_184230, _184232] : [-(removemin_pq_res(_184232, _184230) = _184230), contains_pq(_184232, _184230), issmallestelement_pq(_184232, _184230)], (597 ^ _164332) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _164332) ^ [_184734, _184736, _184738] : [-(isnonempty_slb(insert_slb(_184738, pair(_184736, _184734))))], (601 ^ _164332) ^ [_184820] : [contains_slb(create_slb, _184820)], (613 ^ _164332) ^ [_185268, _185270, _185272, _185274] : [614 ^ _164332 : [(615 ^ _164332) ^ [] : [contains_slb(_185274, _185270)], (617 ^ _164332) ^ [] : [_185272 = _185270]], -(contains_slb(insert_slb(_185274, pair(_185272, _185268)), _185270))], (603 ^ _164332) ^ [_184984, _184986, _184988, _184990] : [contains_slb(insert_slb(_184990, pair(_184988, _184984)), _184986), -(contains_slb(_184990, _184986)), -(_184988 = _184986)], (621 ^ _164332) ^ [_185566, _185568] : [pair_in_list(create_slb, _185568, _185566)], (623 ^ _164332) ^ [_185747, _185749, _185751, _185753, _185755] : [pair_in_list(insert_slb(_185755, pair(_185753, _185749)), _185751, _185747), -(pair_in_list(_185755, _185751, _185747)), 630 ^ _164332 : [(631 ^ _164332) ^ [] : [-(_185753 = _185751)], (633 ^ _164332) ^ [] : [-(_185749 = _185747)]]], (635 ^ _164332) ^ [_186126, _186128, _186130, _186132, _186134] : [-(pair_in_list(insert_slb(_186134, pair(_186132, _186128)), _186130, _186126)), 636 ^ _164332 : [(637 ^ _164332) ^ [] : [pair_in_list(_186134, _186130, _186126)], (639 ^ _164332) ^ [] : [_186132 = _186130, _186128 = _186126]]], (647 ^ _164332) ^ [_186552, _186554, _186556] : [-(remove_slb(insert_slb(_186556, pair(_186554, _186552)), _186554) = _186556)], (649 ^ _164332) ^ [_186700, _186702, _186704, _186706] : [-(remove_slb(insert_slb(_186706, pair(_186704, _186700)), _186702) = insert_slb(remove_slb(_186706, _186702), pair(_186704, _186700))), -(_186704 = _186702), contains_slb(_186706, _186702)], (659 ^ _164332) ^ [_187057, _187059, _187061] : [-(lookup_slb(insert_slb(_187061, pair(_187059, _187057)), _187059) = _187057)], (661 ^ _164332) ^ [_187205, _187207, _187209, _187211] : [-(lookup_slb(insert_slb(_187211, pair(_187209, _187205)), _187207) = lookup_slb(_187211, _187207)), -(_187209 = _187207), contains_slb(_187211, _187207)], (671 ^ _164332) ^ [_187522] : [-(update_slb(create_slb, _187522) = create_slb)], (673 ^ _164332) ^ [_187660, _187662, _187664, _187666] : [strictly_less_than(_187660, _187662), -(update_slb(insert_slb(_187666, pair(_187664, _187660)), _187662) = insert_slb(update_slb(_187666, _187662), pair(_187664, _187662)))], (679 ^ _164332) ^ [_187926, _187928, _187930, _187932] : [less_than(_187928, _187926), -(update_slb(insert_slb(_187932, pair(_187930, _187926)), _187928) = insert_slb(update_slb(_187932, _187928), pair(_187930, _187926)))], (867 ^ _164332) ^ [_195116, _195118] : [-(i(triple(_195118, create_slb, _195116)) = create_pq)], (869 ^ _164332) ^ [_195258, _195260, _195262, _195264, _195266] : [-(i(triple(_195266, insert_slb(_195264, pair(_195260, _195258)), _195262)) = insert_pq(i(triple(_195266, _195264, _195262)), _195260))], (871 ^ _164332) ^ [_195423, _195425] : [pi_sharp_remove(_195425, _195423), -(contains_pq(_195425, _195423))], (877 ^ _164332) ^ [_195585, _195587] : [contains_pq(_195587, _195585), -(pi_sharp_remove(_195587, _195585))], (883 ^ _164332) ^ [_195826, _195828] : [pi_remove(_195828, _195826), -(pi_sharp_remove(i(_195828), _195826))], (889 ^ _164332) ^ [_195992, _195994] : [pi_sharp_remove(i(_195994), _195992), -(pi_remove(_195994, _195992))], (895 ^ _164332) ^ [_196237, _196239] : [pi_sharp_find_min(_196239, _196237), 898 ^ _164332 : [(899 ^ _164332) ^ [] : [-(contains_pq(_196239, _196237))], (901 ^ _164332) ^ [] : [-(issmallestelement_pq(_196239, _196237))]]], (903 ^ _164332) ^ [_196474, _196476] : [-(pi_sharp_find_min(_196476, _196474)), contains_pq(_196476, _196474), issmallestelement_pq(_196476, _196474)], (913 ^ _164332) ^ [_196790] : [pi_find_min(_196790), -(pi_sharp_find_min(i(_196790), 916 ^ [_196790]))], (920 ^ _164332) ^ [_197001] : [921 ^ _164332 : [(922 ^ _164332) ^ [_197070] : [pi_sharp_find_min(i(_197001), _197070)]], -(pi_find_min(_197001))], (926 ^ _164332) ^ [_197260, _197262] : [pi_sharp_removemin(_197262, _197260), 929 ^ _164332 : [(930 ^ _164332) ^ [] : [-(contains_pq(_197262, _197260))], (932 ^ _164332) ^ [] : [-(issmallestelement_pq(_197262, _197260))]]], (934 ^ _164332) ^ [_197497, _197499] : [-(pi_sharp_removemin(_197499, _197497)), contains_pq(_197499, _197497), issmallestelement_pq(_197499, _197497)], (944 ^ _164332) ^ [_197813] : [pi_removemin(_197813), -(pi_sharp_find_min(i(_197813), 947 ^ [_197813]))], (951 ^ _164332) ^ [_198024] : [952 ^ _164332 : [(953 ^ _164332) ^ [_198093] : [pi_sharp_find_min(i(_198024), _198093)]], -(pi_removemin(_198024))], (957 ^ _164332) ^ [_198249] : [phi(_198249), 961 ^ _164332 : [(962 ^ _164332) ^ [] : [-(succ_cpq(_198249, 960 ^ [_198249]))], (964 ^ _164332) ^ [] : [-(ok(960 ^ [_198249]))], (966 ^ _164332) ^ [] : [-(check_cpq(960 ^ [_198249]))]]], (968 ^ _164332) ^ [_198615] : [-(phi(_198615)), 969 ^ _164332 : [(970 ^ _164332) ^ [_198708] : [succ_cpq(_198615, _198708), ok(_198708), check_cpq(_198708)]]], (685 ^ _164332) ^ [_188203] : [-(succ_cpq(_188203, _188203))], (687 ^ _164332) ^ [_188324, _188326, _188328] : [succ_cpq(_188328, _188326), -(succ_cpq(_188328, insert_cpq(_188326, _188324)))], (693 ^ _164332) ^ [_188560, _188562, _188564] : [succ_cpq(_188564, _188562), -(succ_cpq(_188564, remove_cpq(_188562, _188560)))], (699 ^ _164332) ^ [_188782, _188784] : [succ_cpq(_188784, _188782), -(succ_cpq(_188784, findmin_cpq_eff(_188782)))], (705 ^ _164332) ^ [_188996, _188998] : [succ_cpq(_188998, _188996), -(succ_cpq(_188998, removemin_cpq_eff(_188996)))], (711 ^ _164332) ^ [_189195, _189197] : [-(check_cpq(triple(_189197, create_slb, _189195)))], (713 ^ _164332) ^ [_189349, _189351, _189353, _189355, _189357] : [less_than(_189349, _189351), 716 ^ _164332 : [(717 ^ _164332) ^ [] : [check_cpq(triple(_189357, insert_slb(_189355, pair(_189351, _189349)), _189353)), -(check_cpq(triple(_189357, _189355, _189353)))], (723 ^ _164332) ^ [] : [check_cpq(triple(_189357, _189355, _189353)), -(check_cpq(triple(_189357, insert_slb(_189355, pair(_189351, _189349)), _189353)))]]], (729 ^ _164332) ^ [_189935, _189937, _189939, _189941, _189943] : [strictly_less_than(_189937, _189935), 732 ^ _164332 : [(733 ^ _164332) ^ [] : [check_cpq(triple(_189943, insert_slb(_189941, pair(_189937, _189935)), _189939)), 736 ^ _164332 : [(737 ^ _164332) ^ [] : [-(false___)], (739 ^ _164332) ^ [] : [false___]]], (741 ^ _164332) ^ [] : [-(check_cpq(triple(_189943, insert_slb(_189941, pair(_189937, _189935)), _189939))), false___, -(false___)]]], (751 ^ _164332) ^ [_190682, _190684, _190686, _190688] : [contains_cpq(triple(_190688, _190686, _190684), _190682), -(contains_slb(_190686, _190682))], (757 ^ _164332) ^ [_190864, _190866, _190868, _190870] : [contains_slb(_190868, _190864), -(contains_cpq(triple(_190870, _190868, _190866), _190864))], (763 ^ _164332) ^ [_191125, _191127] : [ok(triple(_191127, _191125, bad)), 766 ^ _164332 : [(767 ^ _164332) ^ [] : [-(false___)], (769 ^ _164332) ^ [] : [false___]]], (771 ^ _164332) ^ [_191349, _191351] : [-(ok(triple(_191351, _191349, bad))), false___, -(false___)], (781 ^ _164332) ^ [_191656, _191658, _191660] : [-(ok(triple(_191660, _191658, _191656))), -(_191656 = bad)], (787 ^ _164332) ^ [_191894, _191896, _191898, _191900] : [-(insert_cpq(triple(_191900, _191898, _191896), _191894) = triple(insert_pqp(_191900, _191894), insert_slb(_191898, pair(_191894, bottom)), _191896))], (789 ^ _164332) ^ [_192055, _192057, _192059, _192061] : [-(contains_slb(_192059, _192055)), -(remove_cpq(triple(_192061, _192059, _192057), _192055) = triple(_192061, _192059, bad))], (795 ^ _164332) ^ [_192330, _192332, _192334, _192336] : [-(remove_cpq(triple(_192336, _192334, _192332), _192330) = triple(remove_pqp(_192336, _192330), remove_slb(_192334, _192330), _192332)), contains_slb(_192334, _192330), less_than(lookup_slb(_192334, _192330), _192330)], (805 ^ _164332) ^ [_192717, _192719, _192721, _192723] : [-(remove_cpq(triple(_192723, _192721, _192719), _192717) = triple(remove_pqp(_192723, _192717), remove_slb(_192721, _192717), bad)), contains_slb(_192721, _192717), strictly_less_than(_192717, lookup_slb(_192721, _192717))], (815 ^ _164332) ^ [_193061, _193063] : [-(findmin_cpq_eff(triple(_193063, create_slb, _193061)) = triple(_193063, create_slb, bad))], (817 ^ _164332) ^ [_193208, _193210, _193212, _193214] : [-(findmin_cpq_eff(triple(_193214, _193212, _193210)) = triple(_193214, update_slb(_193212, findmin_pqp_res(_193214)), bad)), -(_193212 = create_slb), -(contains_slb(_193212, findmin_pqp_res(_193214)))], (827 ^ _164332) ^ [_193595, _193597, _193599, _193601] : [-(findmin_cpq_eff(triple(_193601, _193599, _193597)) = triple(_193601, update_slb(_193599, findmin_pqp_res(_193601)), bad)), -(_193599 = create_slb), contains_slb(_193599, findmin_pqp_res(_193601)), strictly_less_than(findmin_pqp_res(_193601), lookup_slb(_193599, findmin_pqp_res(_193601)))], (855 ^ _164332) ^ [_194542, _194544] : [-(findmin_cpq_res(triple(_194544, create_slb, _194542)) = bottom)], (863 ^ _164332) ^ [_194897] : [-(removemin_cpq_eff(_194897) = remove_cpq(findmin_cpq_eff(_194897), findmin_cpq_res(_194897)))], (865 ^ _164332) ^ [_194964] : [-(removemin_cpq_res(_194964) = findmin_cpq_res(_194964))], (857 ^ _164332) ^ [_194685, _194687, _194689, _194691] : [-(_194689 = create_slb), -(findmin_cpq_res(triple(_194691, _194689, _194687)) = findmin_pqp_res(_194691))], (841 ^ _164332) ^ [_194090, _194092, _194094, _194096] : [-(findmin_cpq_eff(triple(_194096, _194094, _194092)) = triple(_194096, update_slb(_194094, findmin_pqp_res(_194096)), _194092)), -(_194094 = create_slb), contains_slb(_194094, findmin_pqp_res(_194096)), less_than(lookup_slb(_194094, findmin_pqp_res(_194096)), findmin_pqp_res(_194096))]], input).
% 101.11/98.51  ncf('1',plain,[i(triple(981 ^ [], create_slb, 983 ^ [])) = i(triple(982 ^ [], create_slb, 984 ^ []))],start(986 ^ 0)).
% 101.11/98.51  ncf('1.1',plain,[-(i(triple(981 ^ [], create_slb, 983 ^ [])) = i(triple(982 ^ [], create_slb, 984 ^ []))), i(triple(981 ^ [], create_slb, 983 ^ [])) = create_pq, create_pq = i(triple(982 ^ [], create_slb, 984 ^ []))],extension(10 ^ 1,bind([[_164787, _164789, _164791], [i(triple(982 ^ [], create_slb, 984 ^ [])), create_pq, i(triple(981 ^ [], create_slb, 983 ^ []))]]))).
% 101.11/98.51  ncf('1.1.1',plain,[-(i(triple(981 ^ [], create_slb, 983 ^ [])) = create_pq), i(triple(981 ^ [], create_slb, 983 ^ [])) = create_pq, create_pq = create_pq],extension(10 ^ 2,bind([[_164787, _164789, _164791], [create_pq, create_pq, i(triple(981 ^ [], create_slb, 983 ^ []))]]))).
% 101.11/98.51  ncf('1.1.1.1',plain,[-(i(triple(981 ^ [], create_slb, 983 ^ [])) = create_pq)],extension(867 ^ 3,bind([[_195116, _195118], [983 ^ [], 981 ^ []]]))).
% 101.11/98.51  ncf('1.1.1.2',plain,[-(create_pq = create_pq)],extension(2 ^ 3,bind([[_164476], [create_pq]]))).
% 101.11/98.51  ncf('1.1.2',plain,[-(create_pq = i(triple(982 ^ [], create_slb, 984 ^ []))), i(triple(982 ^ [], create_slb, 984 ^ [])) = create_pq],extension(4 ^ 2,bind([[_164583, _164585], [create_pq, i(triple(982 ^ [], create_slb, 984 ^ []))]]))).
% 101.11/98.51  ncf('1.1.2.1',plain,[-(i(triple(982 ^ [], create_slb, 984 ^ [])) = create_pq)],extension(867 ^ 3,bind([[_195116, _195118], [984 ^ [], 982 ^ []]]))).
% 101.11/98.51  %-----------------------------------------------------
% 101.11/98.51  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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