%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:20:36 EDT 2023

% Result   : Theorem 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n005.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 02:10:08 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(994 ^ _171763) ^ [] : [-(pi_remove(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ []))], (996 ^ _171763) ^ [] : [-(phi(remove_cpq(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ [])))], (998 ^ _171763) ^ [] : [pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ []), i(remove_cpq(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ [])) = remove_pq(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])], (262 ^ _171763) ^ [_180183, _180185, _180187, _180189] : [-(findmin_pq_eff(_180189, _180185) = findmin_pq_eff(_180187, _180183)), _180189 = _180187, _180185 = _180183], (272 ^ _171763) ^ [_180542, _180544, _180546, _180548] : [-(findmin_pq_res(_180548, _180544) = findmin_pq_res(_180546, _180542)), _180548 = _180546, _180544 = _180542], (282 ^ _171763) ^ [_180901, _180903, _180905, _180907] : [-(removemin_pq_eff(_180907, _180903) = removemin_pq_eff(_180905, _180901)), _180907 = _180905, _180903 = _180901], (292 ^ _171763) ^ [_181260, _181262, _181264, _181266] : [-(removemin_pq_res(_181266, _181262) = removemin_pq_res(_181264, _181260)), _181266 = _181264, _181262 = _181260], (302 ^ _171763) ^ [_181619, _181621, _181623, _181625] : [-(insert_cpq(_181625, _181621) = insert_cpq(_181623, _181619)), _181625 = _181623, _181621 = _181619], (312 ^ _171763) ^ [_181978, _181980, _181982, _181984] : [-(insert_pqp(_181984, _181980) = insert_pqp(_181982, _181978)), _181984 = _181982, _181980 = _181978], (322 ^ _171763) ^ [_182337, _182339, _182341, _182343] : [-(remove_pqp(_182343, _182339) = remove_pqp(_182341, _182337)), _182343 = _182341, _182339 = _182337], (332 ^ _171763) ^ [_182696, _182698, _182700, _182702] : [-(remove_slb(_182702, _182698) = remove_slb(_182700, _182696)), _182702 = _182700, _182698 = _182696], (342 ^ _171763) ^ [_183055, _183057, _183059, _183061] : [-(lookup_slb(_183061, _183057) = lookup_slb(_183059, _183055)), _183061 = _183059, _183057 = _183055], (352 ^ _171763) ^ [_183414, _183416, _183418, _183420] : [-(update_slb(_183420, _183416) = update_slb(_183418, _183414)), _183420 = _183418, _183416 = _183414], (362 ^ _171763) ^ [_183745, _183747] : [_183747 = _183745, -(findmin_pqp_res(_183747) = findmin_pqp_res(_183745))], (368 ^ _171763) ^ [_183963, _183965] : [_183965 = _183963, -(removemin_cpq_eff(_183965) = removemin_cpq_eff(_183963))], (374 ^ _171763) ^ [_184181, _184183] : [_184183 = _184181, -(findmin_cpq_eff(_184183) = findmin_cpq_eff(_184181))], (380 ^ _171763) ^ [_184399, _184401] : [_184401 = _184399, -(removemin_cpq_res(_184401) = removemin_cpq_res(_184399))], (386 ^ _171763) ^ [_184617, _184619] : [_184619 = _184617, -(findmin_cpq_res(_184619) = findmin_cpq_res(_184617))], (392 ^ _171763) ^ [_184863, _184865, _184867, _184869] : [-(insert_slb(_184869, _184865) = insert_slb(_184867, _184863)), _184869 = _184867, _184865 = _184863], (402 ^ _171763) ^ [_185222, _185224, _185226, _185228] : [-(pair(_185228, _185224) = pair(_185226, _185222)), _185228 = _185226, _185224 = _185222], (412 ^ _171763) ^ [_185581, _185583, _185585, _185587] : [-(insert_pq(_185587, _185583) = insert_pq(_185585, _185581)), _185587 = _185585, _185583 = _185581], (422 ^ _171763) ^ [_185940, _185942, _185944, _185946] : [-(remove_cpq(_185946, _185942) = remove_cpq(_185944, _185940)), _185946 = _185944, _185942 = _185940], (432 ^ _171763) ^ [_186299, _186301, _186303, _186305] : [-(remove_pq(_186305, _186301) = remove_pq(_186303, _186299)), _186305 = _186303, _186301 = _186299], (442 ^ _171763) ^ [_186630, _186632] : [_186632 = _186630, -(i(_186632) = i(_186630))], (448 ^ _171763) ^ [_186884, _186886, _186888, _186890, _186892, _186894] : [-(triple(_186894, _186890, _186886) = triple(_186892, _186888, _186884)), _186894 = _186892, _186890 = _186888, _186886 = _186884], (2 ^ _171763) ^ [_171907] : [-(_171907 = _171907)], (4 ^ _171763) ^ [_172014, _172016] : [_172016 = _172014, -(_172014 = _172016)], (10 ^ _171763) ^ [_172218, _172220, _172222] : [-(_172222 = _172218), _172222 = _172220, _172220 = _172218], (20 ^ _171763) ^ [_172531, _172533] : [-(isnonempty_pq(_172531)), _172533 = _172531, isnonempty_pq(_172533)], (30 ^ _171763) ^ [_172826, _172828] : [-(isnonempty_slb(_172826)), _172828 = _172826, isnonempty_slb(_172828)], (40 ^ _171763) ^ [_173177, _173179, _173181, _173183, _173185, _173187] : [-(pair_in_list(_173185, _173181, _173177)), pair_in_list(_173187, _173183, _173179), _173187 = _173185, _173183 = _173181, _173179 = _173177], (58 ^ _171763) ^ [_173758, _173760, _173762, _173764] : [-(contains_cpq(_173762, _173758)), contains_cpq(_173764, _173760), _173764 = _173762, _173760 = _173758], (72 ^ _171763) ^ [_174202, _174204, _174206, _174208] : [-(strictly_less_than(_174206, _174202)), strictly_less_than(_174208, _174204), _174208 = _174206, _174204 = _174202], (86 ^ _171763) ^ [_174646, _174648, _174650, _174652] : [-(contains_slb(_174650, _174646)), contains_slb(_174652, _174648), _174652 = _174650, _174648 = _174646], (100 ^ _171763) ^ [_175090, _175092, _175094, _175096] : [-(less_than(_175094, _175090)), less_than(_175096, _175092), _175096 = _175094, _175092 = _175090], (114 ^ _171763) ^ [_175506, _175508] : [-(pi_find_min(_175506)), _175508 = _175506, pi_find_min(_175508)], (124 ^ _171763) ^ [_175829, _175831, _175833, _175835] : [-(pi_sharp_removemin(_175833, _175829)), pi_sharp_removemin(_175835, _175831), _175835 = _175833, _175831 = _175829], (138 ^ _171763) ^ [_176273, _176275, _176277, _176279] : [-(issmallestelement_pq(_176277, _176273)), issmallestelement_pq(_176279, _176275), _176279 = _176277, _176275 = _176273], (152 ^ _171763) ^ [_176689, _176691] : [-(pi_removemin(_176689)), _176691 = _176689, pi_removemin(_176691)], (162 ^ _171763) ^ [_177012, _177014, _177016, _177018] : [-(pi_sharp_find_min(_177016, _177012)), pi_sharp_find_min(_177018, _177014), _177018 = _177016, _177014 = _177012], (176 ^ _171763) ^ [_177456, _177458, _177460, _177462] : [-(succ_cpq(_177460, _177456)), succ_cpq(_177462, _177458), _177462 = _177460, _177458 = _177456], (190 ^ _171763) ^ [_177872, _177874] : [-(ok(_177872)), _177874 = _177872, ok(_177874)], (200 ^ _171763) ^ [_178167, _178169] : [-(check_cpq(_178167)), _178169 = _178167, check_cpq(_178169)], (210 ^ _171763) ^ [_178490, _178492, _178494, _178496] : [-(contains_pq(_178494, _178490)), contains_pq(_178496, _178492), _178496 = _178494, _178492 = _178490], (224 ^ _171763) ^ [_178934, _178936, _178938, _178940] : [-(pi_remove(_178938, _178934)), pi_remove(_178940, _178936), _178940 = _178938, _178936 = _178934], (238 ^ _171763) ^ [_179350, _179352] : [-(phi(_179350)), _179352 = _179350, phi(_179352)], (248 ^ _171763) ^ [_179653, _179655, _179657, _179659] : [-(pi_sharp_remove(_179657, _179653)), pi_sharp_remove(_179659, _179655), _179659 = _179657, _179655 = _179653], (462 ^ _171763) ^ [_187499, _187501, _187503] : [-(less_than(_187503, _187499)), less_than(_187503, _187501), less_than(_187501, _187499)], (472 ^ _171763) ^ [_187808, _187810] : [-(less_than(_187810, _187808)), -(less_than(_187808, _187810))], (478 ^ _171763) ^ [_187990] : [-(less_than(_187990, _187990))], (498 ^ _171763) ^ [_188619] : [-(less_than(bottom, _188619))], (480 ^ _171763) ^ [_188126, _188128] : [strictly_less_than(_188128, _188126), 483 ^ _171763 : [(484 ^ _171763) ^ [] : [-(less_than(_188128, _188126))], (486 ^ _171763) ^ [] : [less_than(_188126, _188128)]]], (488 ^ _171763) ^ [_188364, _188366] : [-(strictly_less_than(_188366, _188364)), less_than(_188366, _188364), -(less_than(_188364, _188366))], (500 ^ _171763) ^ [] : [isnonempty_pq(create_pq)], (502 ^ _171763) ^ [_188791, _188793] : [-(isnonempty_pq(insert_pq(_188793, _188791)))], (504 ^ _171763) ^ [_188872] : [contains_pq(create_pq, _188872)], (516 ^ _171763) ^ [_189290, _189292, _189294] : [517 ^ _171763 : [(518 ^ _171763) ^ [] : [contains_pq(_189294, _189290)], (520 ^ _171763) ^ [] : [_189292 = _189290]], -(contains_pq(insert_pq(_189294, _189292), _189290))], (506 ^ _171763) ^ [_189022, _189024, _189026] : [contains_pq(insert_pq(_189026, _189024), _189022), -(contains_pq(_189026, _189022)), -(_189024 = _189022)], (534 ^ _171763) ^ [_189933, _189935] : [536 ^ _171763 : [(537 ^ _171763) ^ [] : [-(contains_pq(_189935, 535 ^ [_189933, _189935]))], (539 ^ _171763) ^ [] : [less_than(_189933, 535 ^ [_189933, _189935])]], -(issmallestelement_pq(_189935, _189933))], (524 ^ _171763) ^ [_189619, _189621] : [issmallestelement_pq(_189621, _189619), 527 ^ _171763 : [(528 ^ _171763) ^ [_189756] : [contains_pq(_189621, _189756), -(less_than(_189619, _189756))]]], (543 ^ _171763) ^ [_190275, _190277] : [-(remove_pq(insert_pq(_190277, _190275), _190275) = _190277)], (545 ^ _171763) ^ [_190404, _190406, _190408] : [-(remove_pq(insert_pq(_190408, _190406), _190404) = insert_pq(remove_pq(_190408, _190404), _190406)), contains_pq(_190408, _190404), -(_190406 = _190404)], (555 ^ _171763) ^ [_190740, _190742] : [-(findmin_pq_eff(_190742, _190740) = _190742), contains_pq(_190742, _190740), issmallestelement_pq(_190742, _190740)], (565 ^ _171763) ^ [_191045, _191047] : [-(findmin_pq_res(_191047, _191045) = _191045), contains_pq(_191047, _191045), issmallestelement_pq(_191047, _191045)], (575 ^ _171763) ^ [_191350, _191352] : [-(removemin_pq_eff(_191352, _191350) = remove_pq(_191352, _191350)), contains_pq(_191352, _191350), issmallestelement_pq(_191352, _191350)], (595 ^ _171763) ^ [_191945, _191947, _191949] : [-(insert_pq(insert_pq(_191949, _191947), _191945) = insert_pq(insert_pq(_191949, _191945), _191947))], (585 ^ _171763) ^ [_191661, _191663] : [-(removemin_pq_res(_191663, _191661) = _191661), contains_pq(_191663, _191661), issmallestelement_pq(_191663, _191661)], (597 ^ _171763) ^ [] : [isnonempty_slb(create_slb)], (599 ^ _171763) ^ [_192165, _192167, _192169] : [-(isnonempty_slb(insert_slb(_192169, pair(_192167, _192165))))], (601 ^ _171763) ^ [_192251] : [contains_slb(create_slb, _192251)], (613 ^ _171763) ^ [_192699, _192701, _192703, _192705] : [614 ^ _171763 : [(615 ^ _171763) ^ [] : [contains_slb(_192705, _192701)], (617 ^ _171763) ^ [] : [_192703 = _192701]], -(contains_slb(insert_slb(_192705, pair(_192703, _192699)), _192701))], (603 ^ _171763) ^ [_192415, _192417, _192419, _192421] : [contains_slb(insert_slb(_192421, pair(_192419, _192415)), _192417), -(contains_slb(_192421, _192417)), -(_192419 = _192417)], (621 ^ _171763) ^ [_192997, _192999] : [pair_in_list(create_slb, _192999, _192997)], (623 ^ _171763) ^ [_193178, _193180, _193182, _193184, _193186] : [pair_in_list(insert_slb(_193186, pair(_193184, _193180)), _193182, _193178), -(pair_in_list(_193186, _193182, _193178)), 630 ^ _171763 : [(631 ^ _171763) ^ [] : [-(_193184 = _193182)], (633 ^ _171763) ^ [] : [-(_193180 = _193178)]]], (635 ^ _171763) ^ [_193557, _193559, _193561, _193563, _193565] : [-(pair_in_list(insert_slb(_193565, pair(_193563, _193559)), _193561, _193557)), 636 ^ _171763 : [(637 ^ _171763) ^ [] : [pair_in_list(_193565, _193561, _193557)], (639 ^ _171763) ^ [] : [_193563 = _193561, _193559 = _193557]]], (647 ^ _171763) ^ [_193983, _193985, _193987] : [-(remove_slb(insert_slb(_193987, pair(_193985, _193983)), _193985) = _193987)], (649 ^ _171763) ^ [_194131, _194133, _194135, _194137] : [-(remove_slb(insert_slb(_194137, pair(_194135, _194131)), _194133) = insert_slb(remove_slb(_194137, _194133), pair(_194135, _194131))), -(_194135 = _194133), contains_slb(_194137, _194133)], (659 ^ _171763) ^ [_194488, _194490, _194492] : [-(lookup_slb(insert_slb(_194492, pair(_194490, _194488)), _194490) = _194488)], (661 ^ _171763) ^ [_194636, _194638, _194640, _194642] : [-(lookup_slb(insert_slb(_194642, pair(_194640, _194636)), _194638) = lookup_slb(_194642, _194638)), -(_194640 = _194638), contains_slb(_194642, _194638)], (671 ^ _171763) ^ [_194953] : [-(update_slb(create_slb, _194953) = create_slb)], (673 ^ _171763) ^ [_195091, _195093, _195095, _195097] : [strictly_less_than(_195091, _195093), -(update_slb(insert_slb(_195097, pair(_195095, _195091)), _195093) = insert_slb(update_slb(_195097, _195093), pair(_195095, _195093)))], (679 ^ _171763) ^ [_195357, _195359, _195361, _195363] : [less_than(_195359, _195357), -(update_slb(insert_slb(_195363, pair(_195361, _195357)), _195359) = insert_slb(update_slb(_195363, _195359), pair(_195361, _195357)))], (982 ^ _171763) ^ [_206560, _206562, _206564, _206566, _206568] : [-(i(triple(_206568, _206564, _206562)) = i(triple(_206566, _206564, _206560)))], (984 ^ _171763) ^ [_206695, _206697, _206699, _206701] : [contains_pq(i(triple(_206701, _206699, _206697)), _206695), -(i(remove_cpq(triple(_206701, _206699, _206697), _206695)) = remove_pq(i(triple(_206701, _206699, _206697)), _206695))], (867 ^ _171763) ^ [_202567, _202569] : [-(i(triple(_202569, create_slb, _202567)) = create_pq)], (869 ^ _171763) ^ [_202709, _202711, _202713, _202715, _202717] : [-(i(triple(_202717, insert_slb(_202715, pair(_202711, _202709)), _202713)) = insert_pq(i(triple(_202717, _202715, _202713)), _202711))], (871 ^ _171763) ^ [_202874, _202876] : [pi_sharp_remove(_202876, _202874), -(contains_pq(_202876, _202874))], (877 ^ _171763) ^ [_203036, _203038] : [contains_pq(_203038, _203036), -(pi_sharp_remove(_203038, _203036))], (883 ^ _171763) ^ [_203277, _203279] : [pi_remove(_203279, _203277), -(pi_sharp_remove(i(_203279), _203277))], (889 ^ _171763) ^ [_203443, _203445] : [pi_sharp_remove(i(_203445), _203443), -(pi_remove(_203445, _203443))], (895 ^ _171763) ^ [_203688, _203690] : [pi_sharp_find_min(_203690, _203688), 898 ^ _171763 : [(899 ^ _171763) ^ [] : [-(contains_pq(_203690, _203688))], (901 ^ _171763) ^ [] : [-(issmallestelement_pq(_203690, _203688))]]], (903 ^ _171763) ^ [_203925, _203927] : [-(pi_sharp_find_min(_203927, _203925)), contains_pq(_203927, _203925), issmallestelement_pq(_203927, _203925)], (913 ^ _171763) ^ [_204241] : [pi_find_min(_204241), -(pi_sharp_find_min(i(_204241), 916 ^ [_204241]))], (920 ^ _171763) ^ [_204452] : [921 ^ _171763 : [(922 ^ _171763) ^ [_204521] : [pi_sharp_find_min(i(_204452), _204521)]], -(pi_find_min(_204452))], (926 ^ _171763) ^ [_204711, _204713] : [pi_sharp_removemin(_204713, _204711), 929 ^ _171763 : [(930 ^ _171763) ^ [] : [-(contains_pq(_204713, _204711))], (932 ^ _171763) ^ [] : [-(issmallestelement_pq(_204713, _204711))]]], (934 ^ _171763) ^ [_204948, _204950] : [-(pi_sharp_removemin(_204950, _204948)), contains_pq(_204950, _204948), issmallestelement_pq(_204950, _204948)], (944 ^ _171763) ^ [_205264] : [pi_removemin(_205264), -(pi_sharp_find_min(i(_205264), 947 ^ [_205264]))], (951 ^ _171763) ^ [_205475] : [952 ^ _171763 : [(953 ^ _171763) ^ [_205544] : [pi_sharp_find_min(i(_205475), _205544)]], -(pi_removemin(_205475))], (957 ^ _171763) ^ [_205700] : [phi(_205700), 961 ^ _171763 : [(962 ^ _171763) ^ [] : [-(succ_cpq(_205700, 960 ^ [_205700]))], (964 ^ _171763) ^ [] : [-(ok(960 ^ [_205700]))], (966 ^ _171763) ^ [] : [-(check_cpq(960 ^ [_205700]))]]], (968 ^ _171763) ^ [_206066] : [-(phi(_206066)), 969 ^ _171763 : [(970 ^ _171763) ^ [_206159] : [succ_cpq(_206066, _206159), ok(_206159), check_cpq(_206159)]]], (685 ^ _171763) ^ [_195634] : [-(succ_cpq(_195634, _195634))], (687 ^ _171763) ^ [_195755, _195757, _195759] : [succ_cpq(_195759, _195757), -(succ_cpq(_195759, insert_cpq(_195757, _195755)))], (693 ^ _171763) ^ [_195991, _195993, _195995] : [succ_cpq(_195995, _195993), -(succ_cpq(_195995, remove_cpq(_195993, _195991)))], (699 ^ _171763) ^ [_196213, _196215] : [succ_cpq(_196215, _196213), -(succ_cpq(_196215, findmin_cpq_eff(_196213)))], (705 ^ _171763) ^ [_196427, _196429] : [succ_cpq(_196429, _196427), -(succ_cpq(_196429, removemin_cpq_eff(_196427)))], (711 ^ _171763) ^ [_196626, _196628] : [-(check_cpq(triple(_196628, create_slb, _196626)))], (713 ^ _171763) ^ [_196780, _196782, _196784, _196786, _196788] : [less_than(_196780, _196782), 716 ^ _171763 : [(717 ^ _171763) ^ [] : [check_cpq(triple(_196788, insert_slb(_196786, pair(_196782, _196780)), _196784)), -(check_cpq(triple(_196788, _196786, _196784)))], (723 ^ _171763) ^ [] : [check_cpq(triple(_196788, _196786, _196784)), -(check_cpq(triple(_196788, insert_slb(_196786, pair(_196782, _196780)), _196784)))]]], (729 ^ _171763) ^ [_197366, _197368, _197370, _197372, _197374] : [strictly_less_than(_197368, _197366), 732 ^ _171763 : [(733 ^ _171763) ^ [] : [check_cpq(triple(_197374, insert_slb(_197372, pair(_197368, _197366)), _197370)), 736 ^ _171763 : [(737 ^ _171763) ^ [] : [-(false___)], (739 ^ _171763) ^ [] : [false___]]], (741 ^ _171763) ^ [] : [-(check_cpq(triple(_197374, insert_slb(_197372, pair(_197368, _197366)), _197370))), false___, -(false___)]]], (751 ^ _171763) ^ [_198113, _198115, _198117, _198119] : [contains_cpq(triple(_198119, _198117, _198115), _198113), -(contains_slb(_198117, _198113))], (757 ^ _171763) ^ [_198295, _198297, _198299, _198301] : [contains_slb(_198299, _198295), -(contains_cpq(triple(_198301, _198299, _198297), _198295))], (763 ^ _171763) ^ [_198556, _198558] : [ok(triple(_198558, _198556, bad)), 766 ^ _171763 : [(767 ^ _171763) ^ [] : [-(false___)], (769 ^ _171763) ^ [] : [false___]]], (771 ^ _171763) ^ [_198780, _198782] : [-(ok(triple(_198782, _198780, bad))), false___, -(false___)], (781 ^ _171763) ^ [_199087, _199089, _199091] : [-(ok(triple(_199091, _199089, _199087))), -(_199087 = bad)], (787 ^ _171763) ^ [_199325, _199327, _199329, _199331] : [-(insert_cpq(triple(_199331, _199329, _199327), _199325) = triple(insert_pqp(_199331, _199325), insert_slb(_199329, pair(_199325, bottom)), _199327))], (789 ^ _171763) ^ [_199486, _199488, _199490, _199492] : [-(contains_slb(_199490, _199486)), -(remove_cpq(triple(_199492, _199490, _199488), _199486) = triple(_199492, _199490, bad))], (795 ^ _171763) ^ [_199761, _199763, _199765, _199767] : [-(remove_cpq(triple(_199767, _199765, _199763), _199761) = triple(remove_pqp(_199767, _199761), remove_slb(_199765, _199761), _199763)), contains_slb(_199765, _199761), less_than(lookup_slb(_199765, _199761), _199761)], (805 ^ _171763) ^ [_200148, _200150, _200152, _200154] : [-(remove_cpq(triple(_200154, _200152, _200150), _200148) = triple(remove_pqp(_200154, _200148), remove_slb(_200152, _200148), bad)), contains_slb(_200152, _200148), strictly_less_than(_200148, lookup_slb(_200152, _200148))], (815 ^ _171763) ^ [_200492, _200494] : [-(findmin_cpq_eff(triple(_200494, create_slb, _200492)) = triple(_200494, create_slb, bad))], (817 ^ _171763) ^ [_200639, _200641, _200643, _200645] : [-(findmin_cpq_eff(triple(_200645, _200643, _200641)) = triple(_200645, update_slb(_200643, findmin_pqp_res(_200645)), bad)), -(_200643 = create_slb), -(contains_slb(_200643, findmin_pqp_res(_200645)))], (827 ^ _171763) ^ [_201026, _201028, _201030, _201032] : [-(findmin_cpq_eff(triple(_201032, _201030, _201028)) = triple(_201032, update_slb(_201030, findmin_pqp_res(_201032)), bad)), -(_201030 = create_slb), contains_slb(_201030, findmin_pqp_res(_201032)), strictly_less_than(findmin_pqp_res(_201032), lookup_slb(_201030, findmin_pqp_res(_201032)))], (855 ^ _171763) ^ [_201973, _201975] : [-(findmin_cpq_res(triple(_201975, create_slb, _201973)) = bottom)], (863 ^ _171763) ^ [_202328] : [-(removemin_cpq_eff(_202328) = remove_cpq(findmin_cpq_eff(_202328), findmin_cpq_res(_202328)))], (865 ^ _171763) ^ [_202395] : [-(removemin_cpq_res(_202395) = findmin_cpq_res(_202395))], (857 ^ _171763) ^ [_202116, _202118, _202120, _202122] : [-(_202120 = create_slb), -(findmin_cpq_res(triple(_202122, _202120, _202118)) = findmin_pqp_res(_202122))], (841 ^ _171763) ^ [_201521, _201523, _201525, _201527] : [-(findmin_cpq_eff(triple(_201527, _201525, _201523)) = triple(_201527, update_slb(_201525, findmin_pqp_res(_201527)), _201523)), -(_201525 = create_slb), contains_slb(_201525, findmin_pqp_res(_201527)), less_than(lookup_slb(_201525, findmin_pqp_res(_201527)), findmin_pqp_res(_201527))]], input).
% 0.35/1.38  ncf('1',plain,[pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ []), i(remove_cpq(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ [])) = remove_pq(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])],start(998 ^ 0)).
% 0.35/1.38  ncf('1.1',plain,[-(pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])), pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ []), i(triple(989 ^ [], 990 ^ [], 991 ^ [])) = i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [] = 992 ^ []],extension(248 ^ 1,bind([[_179653, _179655, _179657, _179659], [992 ^ [], 992 ^ [], i(triple(989 ^ [], 990 ^ [], 991 ^ [])), i(triple(989 ^ [], 990 ^ [], 991 ^ []))]]))).
% 0.35/1.38  ncf('1.1.1',plain,[-(pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])), pi_remove(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ [])],extension(883 ^ 2,bind([[_203277, _203279], [992 ^ [], triple(989 ^ [], 990 ^ [], 991 ^ [])]]))).
% 0.35/1.38  ncf('1.1.1.1',plain,[-(pi_remove(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ []))],extension(994 ^ 3)).
% 0.35/1.38  ncf('1.1.2',plain,[-(i(triple(989 ^ [], 990 ^ [], 991 ^ [])) = i(triple(989 ^ [], 990 ^ [], 991 ^ [])))],extension(2 ^ 2,bind([[_171907], [i(triple(989 ^ [], 990 ^ [], 991 ^ []))]]))).
% 0.35/1.38  ncf('1.1.3',plain,[-(992 ^ [] = 992 ^ [])],extension(2 ^ 2,bind([[_171907], [992 ^ []]]))).
% 0.35/1.38  ncf('1.2',plain,[-(i(remove_cpq(triple(989 ^ [], 990 ^ [], 991 ^ []), 992 ^ [])) = remove_pq(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])), contains_pq(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])],extension(984 ^ 1,bind([[_206695, _206697, _206699, _206701], [992 ^ [], 991 ^ [], 990 ^ [], 989 ^ []]]))).
% 0.35/1.38  ncf('1.2.1',plain,[-(contains_pq(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])), pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ [])],extension(871 ^ 2,bind([[_202874, _202876], [992 ^ [], i(triple(989 ^ [], 990 ^ [], 991 ^ []))]]))).
% 0.35/1.38  ncf('1.2.1.1',plain,[-(pi_sharp_remove(i(triple(989 ^ [], 990 ^ [], 991 ^ [])), 992 ^ []))],lemmata('x')).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------