TSTP Solution File: SWV414+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV414+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 12:20:35 EDT 2023

% Result   : Theorem 0.37s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV414+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:39:08 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.37/1.38  
% 0.37/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  ncf(matrix, plain, [(983 ^ _162244) ^ [] : [i(triple(create_pqp, create_slb, 981 ^ [])) = create_pq], (262 ^ _162244) ^ [_170664, _170666, _170668, _170670] : [-(findmin_pq_eff(_170670, _170666) = findmin_pq_eff(_170668, _170664)), _170670 = _170668, _170666 = _170664], (272 ^ _162244) ^ [_171023, _171025, _171027, _171029] : [-(findmin_pq_res(_171029, _171025) = findmin_pq_res(_171027, _171023)), _171029 = _171027, _171025 = _171023], (282 ^ _162244) ^ [_171382, _171384, _171386, _171388] : [-(removemin_pq_eff(_171388, _171384) = removemin_pq_eff(_171386, _171382)), _171388 = _171386, _171384 = _171382], (292 ^ _162244) ^ [_171741, _171743, _171745, _171747] : [-(remove_pq(_171747, _171743) = remove_pq(_171745, _171741)), _171747 = _171745, _171743 = _171741], (302 ^ _162244) ^ [_172100, _172102, _172104, _172106] : [-(removemin_pq_res(_172106, _172102) = removemin_pq_res(_172104, _172100)), _172106 = _172104, _172102 = _172100], (312 ^ _162244) ^ [_172459, _172461, _172463, _172465] : [-(insert_cpq(_172465, _172461) = insert_cpq(_172463, _172459)), _172465 = _172463, _172461 = _172459], (322 ^ _162244) ^ [_172818, _172820, _172822, _172824] : [-(insert_pqp(_172824, _172820) = insert_pqp(_172822, _172818)), _172824 = _172822, _172820 = _172818], (332 ^ _162244) ^ [_173177, _173179, _173181, _173183] : [-(remove_pqp(_173183, _173179) = remove_pqp(_173181, _173177)), _173183 = _173181, _173179 = _173177], (342 ^ _162244) ^ [_173536, _173538, _173540, _173542] : [-(remove_slb(_173542, _173538) = remove_slb(_173540, _173536)), _173542 = _173540, _173538 = _173536], (352 ^ _162244) ^ [_173895, _173897, _173899, _173901] : [-(lookup_slb(_173901, _173897) = lookup_slb(_173899, _173895)), _173901 = _173899, _173897 = _173895], (362 ^ _162244) ^ [_174254, _174256, _174258, _174260] : [-(update_slb(_174260, _174256) = update_slb(_174258, _174254)), _174260 = _174258, _174256 = _174254], (372 ^ _162244) ^ [_174585, _174587] : [_174587 = _174585, -(findmin_pqp_res(_174587) = findmin_pqp_res(_174585))], (378 ^ _162244) ^ [_174803, _174805] : [_174805 = _174803, -(removemin_cpq_eff(_174805) = removemin_cpq_eff(_174803))], (384 ^ _162244) ^ [_175049, _175051, _175053, _175055] : [-(remove_cpq(_175055, _175051) = remove_cpq(_175053, _175049)), _175055 = _175053, _175051 = _175049], (394 ^ _162244) ^ [_175380, _175382] : [_175382 = _175380, -(findmin_cpq_eff(_175382) = findmin_cpq_eff(_175380))], (400 ^ _162244) ^ [_175598, _175600] : [_175600 = _175598, -(removemin_cpq_res(_175600) = removemin_cpq_res(_175598))], (406 ^ _162244) ^ [_175816, _175818] : [_175818 = _175816, -(findmin_cpq_res(_175818) = findmin_cpq_res(_175816))], (412 ^ _162244) ^ [_176062, _176064, _176066, _176068] : [-(insert_slb(_176068, _176064) = insert_slb(_176066, _176062)), _176068 = _176066, _176064 = _176062], (422 ^ _162244) ^ [_176421, _176423, _176425, _176427] : [-(pair(_176427, _176423) = pair(_176425, _176421)), _176427 = _176425, _176423 = _176421], (432 ^ _162244) ^ [_176780, _176782, _176784, _176786] : [-(insert_pq(_176786, _176782) = insert_pq(_176784, _176780)), _176786 = _176784, _176782 = _176780], (442 ^ _162244) ^ [_177111, _177113] : [_177113 = _177111, -(i(_177113) = i(_177111))], (448 ^ _162244) ^ [_177365, _177367, _177369, _177371, _177373, _177375] : [-(triple(_177375, _177371, _177367) = triple(_177373, _177369, _177365)), _177375 = _177373, _177371 = _177369, _177367 = _177365], (2 ^ _162244) ^ [_162388] : [-(_162388 = _162388)], (4 ^ _162244) ^ [_162495, _162497] : [_162497 = _162495, -(_162495 = _162497)], (10 ^ _162244) ^ [_162699, _162701, _162703] : [-(_162703 = _162699), _162703 = _162701, _162701 = _162699], (20 ^ _162244) ^ [_163012, _163014] : [-(isnonempty_pq(_163012)), _163014 = _163012, isnonempty_pq(_163014)], (30 ^ _162244) ^ [_163307, _163309] : [-(isnonempty_slb(_163307)), _163309 = _163307, isnonempty_slb(_163309)], (40 ^ _162244) ^ [_163658, _163660, _163662, _163664, _163666, _163668] : [-(pair_in_list(_163666, _163662, _163658)), pair_in_list(_163668, _163664, _163660), _163668 = _163666, _163664 = _163662, _163660 = _163658], (58 ^ _162244) ^ [_164239, _164241, _164243, _164245] : [-(contains_cpq(_164243, _164239)), contains_cpq(_164245, _164241), _164245 = _164243, _164241 = _164239], (72 ^ _162244) ^ [_164683, _164685, _164687, _164689] : [-(strictly_less_than(_164687, _164683)), strictly_less_than(_164689, _164685), _164689 = _164687, _164685 = _164683], (86 ^ _162244) ^ [_165127, _165129, _165131, _165133] : [-(contains_slb(_165131, _165127)), contains_slb(_165133, _165129), _165133 = _165131, _165129 = _165127], (100 ^ _162244) ^ [_165571, _165573, _165575, _165577] : [-(less_than(_165575, _165571)), less_than(_165577, _165573), _165577 = _165575, _165573 = _165571], (114 ^ _162244) ^ [_166015, _166017, _166019, _166021] : [-(pi_remove(_166019, _166015)), pi_remove(_166021, _166017), _166021 = _166019, _166017 = _166015], (128 ^ _162244) ^ [_166459, _166461, _166463, _166465] : [-(pi_sharp_remove(_166463, _166459)), pi_sharp_remove(_166465, _166461), _166465 = _166463, _166461 = _166459], (142 ^ _162244) ^ [_166875, _166877] : [-(pi_find_min(_166875)), _166877 = _166875, pi_find_min(_166877)], (152 ^ _162244) ^ [_167198, _167200, _167202, _167204] : [-(pi_sharp_removemin(_167202, _167198)), pi_sharp_removemin(_167204, _167200), _167204 = _167202, _167200 = _167198], (166 ^ _162244) ^ [_167642, _167644, _167646, _167648] : [-(contains_pq(_167646, _167642)), contains_pq(_167648, _167644), _167648 = _167646, _167644 = _167642], (180 ^ _162244) ^ [_168086, _168088, _168090, _168092] : [-(issmallestelement_pq(_168090, _168086)), issmallestelement_pq(_168092, _168088), _168092 = _168090, _168088 = _168086], (194 ^ _162244) ^ [_168502, _168504] : [-(pi_removemin(_168502)), _168504 = _168502, pi_removemin(_168504)], (204 ^ _162244) ^ [_168825, _168827, _168829, _168831] : [-(pi_sharp_find_min(_168829, _168825)), pi_sharp_find_min(_168831, _168827), _168831 = _168829, _168827 = _168825], (218 ^ _162244) ^ [_169241, _169243] : [-(phi(_169241)), _169243 = _169241, phi(_169243)], (228 ^ _162244) ^ [_169564, _169566, _169568, _169570] : [-(succ_cpq(_169568, _169564)), succ_cpq(_169570, _169566), _169570 = _169568, _169566 = _169564], (242 ^ _162244) ^ [_169980, _169982] : [-(ok(_169980)), _169982 = _169980, ok(_169982)], (252 ^ _162244) ^ [_170255, _170257] : [-(check_cpq(_170255)), _170257 = _170255, check_cpq(_170257)], (462 ^ _162244) ^ [_177980, _177982, _177984] : [-(less_than(_177984, _177980)), less_than(_177984, _177982), less_than(_177982, _177980)], (472 ^ _162244) ^ [_178289, _178291] : [-(less_than(_178291, _178289)), -(less_than(_178289, _178291))], (478 ^ _162244) ^ [_178471] : [-(less_than(_178471, _178471))], (498 ^ _162244) ^ [_179100] : [-(less_than(bottom, _179100))], (480 ^ _162244) ^ [_178607, _178609] : [strictly_less_than(_178609, _178607), 483 ^ _162244 : [(484 ^ _162244) ^ [] : [-(less_than(_178609, _178607))], (486 ^ _162244) ^ [] : [less_than(_178607, _178609)]]], (488 ^ _162244) ^ [_178845, _178847] : [-(strictly_less_than(_178847, _178845)), less_than(_178847, _178845), -(less_than(_178845, _178847))], (500 ^ _162244) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _162244) ^ [_179272, _179274] : [-(isnonempty_pq(insert_pq(_179274, _179272)))], (504 ^ _162244) ^ [_179353] : [contains_pq(create_pq, _179353)], (516 ^ _162244) ^ [_179771, _179773, _179775] : [517 ^ _162244 : [(518 ^ _162244) ^ [] : [contains_pq(_179775, _179771)], (520 ^ _162244) ^ [] : [_179773 = _179771]], -(contains_pq(insert_pq(_179775, _179773), _179771))], (506 ^ _162244) ^ [_179503, _179505, _179507] : [contains_pq(insert_pq(_179507, _179505), _179503), -(contains_pq(_179507, _179503)), -(_179505 = _179503)], (534 ^ _162244) ^ [_180414, _180416] : [536 ^ _162244 : [(537 ^ _162244) ^ [] : [-(contains_pq(_180416, 535 ^ [_180414, _180416]))], (539 ^ _162244) ^ [] : [less_than(_180414, 535 ^ [_180414, _180416])]], -(issmallestelement_pq(_180416, _180414))], (524 ^ _162244) ^ [_180100, _180102] : [issmallestelement_pq(_180102, _180100), 527 ^ _162244 : [(528 ^ _162244) ^ [_180237] : [contains_pq(_180102, _180237), -(less_than(_180100, _180237))]]], (543 ^ _162244) ^ [_180756, _180758] : [-(remove_pq(insert_pq(_180758, _180756), _180756) = _180758)], (545 ^ _162244) ^ [_180885, _180887, _180889] : [-(remove_pq(insert_pq(_180889, _180887), _180885) = insert_pq(remove_pq(_180889, _180885), _180887)), contains_pq(_180889, _180885), -(_180887 = _180885)], (555 ^ _162244) ^ [_181221, _181223] : [-(findmin_pq_eff(_181223, _181221) = _181223), contains_pq(_181223, _181221), issmallestelement_pq(_181223, _181221)], (565 ^ _162244) ^ [_181526, _181528] : [-(findmin_pq_res(_181528, _181526) = _181526), contains_pq(_181528, _181526), issmallestelement_pq(_181528, _181526)], (575 ^ _162244) ^ [_181831, _181833] : [-(removemin_pq_eff(_181833, _181831) = remove_pq(_181833, _181831)), contains_pq(_181833, _181831), issmallestelement_pq(_181833, _181831)], (595 ^ _162244) ^ [_182426, _182428, _182430] : [-(insert_pq(insert_pq(_182430, _182428), _182426) = insert_pq(insert_pq(_182430, _182426), _182428))], (585 ^ _162244) ^ [_182142, _182144] : [-(removemin_pq_res(_182144, _182142) = _182142), contains_pq(_182144, _182142), issmallestelement_pq(_182144, _182142)], (597 ^ _162244) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _162244) ^ [_182646, _182648, _182650] : [-(isnonempty_slb(insert_slb(_182650, pair(_182648, _182646))))], (601 ^ _162244) ^ [_182732] : [contains_slb(create_slb, _182732)], (613 ^ _162244) ^ [_183180, _183182, _183184, _183186] : [614 ^ _162244 : [(615 ^ _162244) ^ [] : [contains_slb(_183186, _183182)], (617 ^ _162244) ^ [] : [_183184 = _183182]], -(contains_slb(insert_slb(_183186, pair(_183184, _183180)), _183182))], (603 ^ _162244) ^ [_182896, _182898, _182900, _182902] : [contains_slb(insert_slb(_182902, pair(_182900, _182896)), _182898), -(contains_slb(_182902, _182898)), -(_182900 = _182898)], (621 ^ _162244) ^ [_183478, _183480] : [pair_in_list(create_slb, _183480, _183478)], (623 ^ _162244) ^ [_183659, _183661, _183663, _183665, _183667] : [pair_in_list(insert_slb(_183667, pair(_183665, _183661)), _183663, _183659), -(pair_in_list(_183667, _183663, _183659)), 630 ^ _162244 : [(631 ^ _162244) ^ [] : [-(_183665 = _183663)], (633 ^ _162244) ^ [] : [-(_183661 = _183659)]]], (635 ^ _162244) ^ [_184038, _184040, _184042, _184044, _184046] : [-(pair_in_list(insert_slb(_184046, pair(_184044, _184040)), _184042, _184038)), 636 ^ _162244 : [(637 ^ _162244) ^ [] : [pair_in_list(_184046, _184042, _184038)], (639 ^ _162244) ^ [] : [_184044 = _184042, _184040 = _184038]]], (647 ^ _162244) ^ [_184464, _184466, _184468] : [-(remove_slb(insert_slb(_184468, pair(_184466, _184464)), _184466) = _184468)], (649 ^ _162244) ^ [_184612, _184614, _184616, _184618] : [-(remove_slb(insert_slb(_184618, pair(_184616, _184612)), _184614) = insert_slb(remove_slb(_184618, _184614), pair(_184616, _184612))), -(_184616 = _184614), contains_slb(_184618, _184614)], (659 ^ _162244) ^ [_184969, _184971, _184973] : [-(lookup_slb(insert_slb(_184973, pair(_184971, _184969)), _184971) = _184969)], (661 ^ _162244) ^ [_185117, _185119, _185121, _185123] : [-(lookup_slb(insert_slb(_185123, pair(_185121, _185117)), _185119) = lookup_slb(_185123, _185119)), -(_185121 = _185119), contains_slb(_185123, _185119)], (671 ^ _162244) ^ [_185434] : [-(update_slb(create_slb, _185434) = create_slb)], (673 ^ _162244) ^ [_185572, _185574, _185576, _185578] : [strictly_less_than(_185572, _185574), -(update_slb(insert_slb(_185578, pair(_185576, _185572)), _185574) = insert_slb(update_slb(_185578, _185574), pair(_185576, _185574)))], (679 ^ _162244) ^ [_185838, _185840, _185842, _185844] : [less_than(_185840, _185838), -(update_slb(insert_slb(_185844, pair(_185842, _185838)), _185840) = insert_slb(update_slb(_185844, _185840), pair(_185842, _185838)))], (867 ^ _162244) ^ [_193028, _193030] : [-(i(triple(_193030, create_slb, _193028)) = create_pq)], (869 ^ _162244) ^ [_193170, _193172, _193174, _193176, _193178] : [-(i(triple(_193178, insert_slb(_193176, pair(_193172, _193170)), _193174)) = insert_pq(i(triple(_193178, _193176, _193174)), _193172))], (871 ^ _162244) ^ [_193335, _193337] : [pi_sharp_remove(_193337, _193335), -(contains_pq(_193337, _193335))], (877 ^ _162244) ^ [_193497, _193499] : [contains_pq(_193499, _193497), -(pi_sharp_remove(_193499, _193497))], (883 ^ _162244) ^ [_193738, _193740] : [pi_remove(_193740, _193738), -(pi_sharp_remove(i(_193740), _193738))], (889 ^ _162244) ^ [_193904, _193906] : [pi_sharp_remove(i(_193906), _193904), -(pi_remove(_193906, _193904))], (895 ^ _162244) ^ [_194149, _194151] : [pi_sharp_find_min(_194151, _194149), 898 ^ _162244 : [(899 ^ _162244) ^ [] : [-(contains_pq(_194151, _194149))], (901 ^ _162244) ^ [] : [-(issmallestelement_pq(_194151, _194149))]]], (903 ^ _162244) ^ [_194386, _194388] : [-(pi_sharp_find_min(_194388, _194386)), contains_pq(_194388, _194386), issmallestelement_pq(_194388, _194386)], (913 ^ _162244) ^ [_194702] : [pi_find_min(_194702), -(pi_sharp_find_min(i(_194702), 916 ^ [_194702]))], (920 ^ _162244) ^ [_194913] : [921 ^ _162244 : [(922 ^ _162244) ^ [_194982] : [pi_sharp_find_min(i(_194913), _194982)]], -(pi_find_min(_194913))], (926 ^ _162244) ^ [_195172, _195174] : [pi_sharp_removemin(_195174, _195172), 929 ^ _162244 : [(930 ^ _162244) ^ [] : [-(contains_pq(_195174, _195172))], (932 ^ _162244) ^ [] : [-(issmallestelement_pq(_195174, _195172))]]], (934 ^ _162244) ^ [_195409, _195411] : [-(pi_sharp_removemin(_195411, _195409)), contains_pq(_195411, _195409), issmallestelement_pq(_195411, _195409)], (944 ^ _162244) ^ [_195725] : [pi_removemin(_195725), -(pi_sharp_find_min(i(_195725), 947 ^ [_195725]))], (951 ^ _162244) ^ [_195936] : [952 ^ _162244 : [(953 ^ _162244) ^ [_196005] : [pi_sharp_find_min(i(_195936), _196005)]], -(pi_removemin(_195936))], (957 ^ _162244) ^ [_196161] : [phi(_196161), 961 ^ _162244 : [(962 ^ _162244) ^ [] : [-(succ_cpq(_196161, 960 ^ [_196161]))], (964 ^ _162244) ^ [] : [-(ok(960 ^ [_196161]))], (966 ^ _162244) ^ [] : [-(check_cpq(960 ^ [_196161]))]]], (968 ^ _162244) ^ [_196527] : [-(phi(_196527)), 969 ^ _162244 : [(970 ^ _162244) ^ [_196620] : [succ_cpq(_196527, _196620), ok(_196620), check_cpq(_196620)]]], (685 ^ _162244) ^ [_186115] : [-(succ_cpq(_186115, _186115))], (687 ^ _162244) ^ [_186236, _186238, _186240] : [succ_cpq(_186240, _186238), -(succ_cpq(_186240, insert_cpq(_186238, _186236)))], (693 ^ _162244) ^ [_186472, _186474, _186476] : [succ_cpq(_186476, _186474), -(succ_cpq(_186476, remove_cpq(_186474, _186472)))], (699 ^ _162244) ^ [_186694, _186696] : [succ_cpq(_186696, _186694), -(succ_cpq(_186696, findmin_cpq_eff(_186694)))], (705 ^ _162244) ^ [_186908, _186910] : [succ_cpq(_186910, _186908), -(succ_cpq(_186910, removemin_cpq_eff(_186908)))], (711 ^ _162244) ^ [_187107, _187109] : [-(check_cpq(triple(_187109, create_slb, _187107)))], (713 ^ _162244) ^ [_187261, _187263, _187265, _187267, _187269] : [less_than(_187261, _187263), 716 ^ _162244 : [(717 ^ _162244) ^ [] : [check_cpq(triple(_187269, insert_slb(_187267, pair(_187263, _187261)), _187265)), -(check_cpq(triple(_187269, _187267, _187265)))], (723 ^ _162244) ^ [] : [check_cpq(triple(_187269, _187267, _187265)), -(check_cpq(triple(_187269, insert_slb(_187267, pair(_187263, _187261)), _187265)))]]], (729 ^ _162244) ^ [_187847, _187849, _187851, _187853, _187855] : [strictly_less_than(_187849, _187847), 732 ^ _162244 : [(733 ^ _162244) ^ [] : [check_cpq(triple(_187855, insert_slb(_187853, pair(_187849, _187847)), _187851)), 736 ^ _162244 : [(737 ^ _162244) ^ [] : [-(false___)], (739 ^ _162244) ^ [] : [false___]]], (741 ^ _162244) ^ [] : [-(check_cpq(triple(_187855, insert_slb(_187853, pair(_187849, _187847)), _187851))), false___, -(false___)]]], (751 ^ _162244) ^ [_188594, _188596, _188598, _188600] : [contains_cpq(triple(_188600, _188598, _188596), _188594), -(contains_slb(_188598, _188594))], (757 ^ _162244) ^ [_188776, _188778, _188780, _188782] : [contains_slb(_188780, _188776), -(contains_cpq(triple(_188782, _188780, _188778), _188776))], (763 ^ _162244) ^ [_189037, _189039] : [ok(triple(_189039, _189037, bad)), 766 ^ _162244 : [(767 ^ _162244) ^ [] : [-(false___)], (769 ^ _162244) ^ [] : [false___]]], (771 ^ _162244) ^ [_189261, _189263] : [-(ok(triple(_189263, _189261, bad))), false___, -(false___)], (781 ^ _162244) ^ [_189568, _189570, _189572] : [-(ok(triple(_189572, _189570, _189568))), -(_189568 = bad)], (787 ^ _162244) ^ [_189806, _189808, _189810, _189812] : [-(insert_cpq(triple(_189812, _189810, _189808), _189806) = triple(insert_pqp(_189812, _189806), insert_slb(_189810, pair(_189806, bottom)), _189808))], (789 ^ _162244) ^ [_189967, _189969, _189971, _189973] : [-(contains_slb(_189971, _189967)), -(remove_cpq(triple(_189973, _189971, _189969), _189967) = triple(_189973, _189971, bad))], (795 ^ _162244) ^ [_190242, _190244, _190246, _190248] : [-(remove_cpq(triple(_190248, _190246, _190244), _190242) = triple(remove_pqp(_190248, _190242), remove_slb(_190246, _190242), _190244)), contains_slb(_190246, _190242), less_than(lookup_slb(_190246, _190242), _190242)], (805 ^ _162244) ^ [_190629, _190631, _190633, _190635] : [-(remove_cpq(triple(_190635, _190633, _190631), _190629) = triple(remove_pqp(_190635, _190629), remove_slb(_190633, _190629), bad)), contains_slb(_190633, _190629), strictly_less_than(_190629, lookup_slb(_190633, _190629))], (815 ^ _162244) ^ [_190973, _190975] : [-(findmin_cpq_eff(triple(_190975, create_slb, _190973)) = triple(_190975, create_slb, bad))], (817 ^ _162244) ^ [_191120, _191122, _191124, _191126] : [-(findmin_cpq_eff(triple(_191126, _191124, _191122)) = triple(_191126, update_slb(_191124, findmin_pqp_res(_191126)), bad)), -(_191124 = create_slb), -(contains_slb(_191124, findmin_pqp_res(_191126)))], (827 ^ _162244) ^ [_191507, _191509, _191511, _191513] : [-(findmin_cpq_eff(triple(_191513, _191511, _191509)) = triple(_191513, update_slb(_191511, findmin_pqp_res(_191513)), bad)), -(_191511 = create_slb), contains_slb(_191511, findmin_pqp_res(_191513)), strictly_less_than(findmin_pqp_res(_191513), lookup_slb(_191511, findmin_pqp_res(_191513)))], (855 ^ _162244) ^ [_192454, _192456] : [-(findmin_cpq_res(triple(_192456, create_slb, _192454)) = bottom)], (863 ^ _162244) ^ [_192809] : [-(removemin_cpq_eff(_192809) = remove_cpq(findmin_cpq_eff(_192809), findmin_cpq_res(_192809)))], (865 ^ _162244) ^ [_192876] : [-(removemin_cpq_res(_192876) = findmin_cpq_res(_192876))], (857 ^ _162244) ^ [_192597, _192599, _192601, _192603] : [-(_192601 = create_slb), -(findmin_cpq_res(triple(_192603, _192601, _192599)) = findmin_pqp_res(_192603))], (841 ^ _162244) ^ [_192002, _192004, _192006, _192008] : [-(findmin_cpq_eff(triple(_192008, _192006, _192004)) = triple(_192008, update_slb(_192006, findmin_pqp_res(_192008)), _192004)), -(_192006 = create_slb), contains_slb(_192006, findmin_pqp_res(_192008)), less_than(lookup_slb(_192006, findmin_pqp_res(_192008)), findmin_pqp_res(_192008))]], input).
% 0.37/1.38  ncf('1',plain,[i(triple(create_pqp, create_slb, 981 ^ [])) = create_pq],start(983 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(i(triple(create_pqp, create_slb, 981 ^ [])) = create_pq)],extension(867 ^ 1,bind([[_193028, _193030], [981 ^ [], create_pqp]]))).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------