%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% 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 11:33:35 EDT 2023

% Result   : Theorem 15.31s 15.75s
% Output   : Proof 15.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : nanocop.sh %s %d
% 0.08/0.28  % Computer : n005.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Thu May 18 15:40:53 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 15.31/15.75  
% 15.31/15.75  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 15.31/15.75  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.31/15.75  %-----------------------------------------------------
% 15.31/15.75  ncf(matrix, plain, [(4 ^ _16549) ^ [] : [-(r1(1 ^ [], 2 ^ []))], (6 ^ _16549) ^ [] : [p3(2 ^ [])], (8 ^ _16549) ^ [_16616] : [r1(1 ^ [], _16616), -(p3(_16616)), 16 ^ _16549 : [(17 ^ _16549) ^ [] : [-(r1(_16616, 15 ^ [_16616]))], (20 ^ _16549) ^ [] : [-(r1(15 ^ [_16616], 18 ^ [_16616]))], (22 ^ _16549) ^ [] : [p3(18 ^ [_16616])], (24 ^ _16549) ^ [] : [-(p3(15 ^ [_16616]))]]], (27 ^ _16549) ^ [] : [-(r1(1 ^ [], 25 ^ []))], (29 ^ _16549) ^ [] : [p2(25 ^ [])], (31 ^ _16549) ^ [_16957] : [r1(1 ^ [], _16957), -(p2(_16957)), 39 ^ _16549 : [(40 ^ _16549) ^ [] : [-(r1(_16957, 38 ^ [_16957]))], (43 ^ _16549) ^ [] : [-(r1(38 ^ [_16957], 41 ^ [_16957]))], (45 ^ _16549) ^ [] : [p2(41 ^ [_16957])], (47 ^ _16549) ^ [] : [-(p2(38 ^ [_16957]))]]], (50 ^ _16549) ^ [] : [-(r1(1 ^ [], 48 ^ []))], (52 ^ _16549) ^ [] : [p1(48 ^ [])], (54 ^ _16549) ^ [_17298] : [r1(1 ^ [], _17298), -(p1(_17298)), 62 ^ _16549 : [(63 ^ _16549) ^ [] : [-(r1(_17298, 61 ^ [_17298]))], (66 ^ _16549) ^ [] : [-(r1(61 ^ [_17298], 64 ^ [_17298]))], (68 ^ _16549) ^ [] : [p1(64 ^ [_17298])], (70 ^ _16549) ^ [] : [-(p1(61 ^ [_17298]))]]], (72 ^ _16549) ^ [] : [73 ^ _16549 : [(117 ^ _16549) ^ [] : [-(p2(1 ^ [])), 121 ^ _16549 : [(122 ^ _16549) ^ [] : [-(r1(1 ^ [], 120 ^ []))], (125 ^ _16549) ^ [] : [-(r1(120 ^ [], 123 ^ []))], (127 ^ _16549) ^ [] : [p2(123 ^ [])], (129 ^ _16549) ^ [] : [-(p2(120 ^ []))]]], (74 ^ _16549) ^ [] : [75 ^ _16549 : [(76 ^ _16549) ^ [_17626] : [r1(1 ^ [], _17626), 79 ^ _16549 : [(80 ^ _16549) ^ [_17730] : [r1(_17626, _17730), -(p2(_17730)), 88 ^ _16549 : [(89 ^ _16549) ^ [] : [-(r1(_17730, 87 ^ [_17626, _17730]))], (92 ^ _16549) ^ [] : [-(r1(87 ^ [_17626, _17730], 90 ^ [_17626, _17730]))], (94 ^ _16549) ^ [] : [p2(90 ^ [_17626, _17730])], (96 ^ _16549) ^ [] : [-(p2(87 ^ [_17626, _17730]))]]]]]], 98 ^ _16549 : [(99 ^ _16549) ^ [] : [-(r1(1 ^ [], 97 ^ []))], (101 ^ _16549) ^ [] : [p2(97 ^ [])], (103 ^ _16549) ^ [_18135] : [r1(97 ^ [], _18135), p2(_18135), 108 ^ _16549 : [(109 ^ _16549) ^ [_18225] : [r1(_18135, _18225), -(p2(_18225))]]]]]], 131 ^ _16549 : [(132 ^ _16549) ^ [] : [-(r1(1 ^ [], 130 ^ []))], (134 ^ _16549) ^ [] : [175 ^ _16549 : [(176 ^ _16549) ^ [] : [p2(130 ^ [])], (178 ^ _16549) ^ [_19789] : [r1(130 ^ [], _19789), p2(_19789), 183 ^ _16549 : [(184 ^ _16549) ^ [_19879] : [r1(_19789, _19879), -(p2(_19879))]]]], 136 ^ _16549 : [(158 ^ _16549) ^ [_19472] : [r1(130 ^ [], _19472), -(p2(_19472)), 166 ^ _16549 : [(167 ^ _16549) ^ [] : [-(r1(_19472, 165 ^ [_19472]))], (170 ^ _16549) ^ [] : [-(r1(165 ^ [_19472], 168 ^ [_19472]))], (172 ^ _16549) ^ [] : [p2(168 ^ [_19472])], (174 ^ _16549) ^ [] : [-(p2(165 ^ [_19472]))]]], (137 ^ _16549) ^ [] : [-(r1(130 ^ [], 135 ^ []))], (140 ^ _16549) ^ [] : [-(r1(135 ^ [], 138 ^ []))], (142 ^ _16549) ^ [] : [p2(138 ^ [])], (144 ^ _16549) ^ [_19275] : [r1(138 ^ [], _19275), p2(_19275), 149 ^ _16549 : [(150 ^ _16549) ^ [_19365] : [r1(_19275, _19365), -(p2(_19365))]]]]], (192 ^ _16549) ^ [_19988] : [r1(130 ^ [], _19988), 300 ^ _16549 : [(301 ^ _16549) ^ [] : [p2(_19988)], (303 ^ _16549) ^ [_22454] : [r1(_19988, _22454), p2(_22454), 308 ^ _16549 : [(309 ^ _16549) ^ [_22548] : [r1(_22454, _22548), -(p2(_22548))]]]], 261 ^ _16549 : [(283 ^ _16549) ^ [_22117] : [r1(_19988, _22117), -(p2(_22117)), 291 ^ _16549 : [(292 ^ _16549) ^ [] : [-(r1(_22117, 290 ^ [_19988, _22117]))], (295 ^ _16549) ^ [] : [-(r1(290 ^ [_19988, _22117], 293 ^ [_19988, _22117]))], (297 ^ _16549) ^ [] : [p2(293 ^ [_19988, _22117])], (299 ^ _16549) ^ [] : [-(p2(290 ^ [_19988, _22117]))]]], (262 ^ _16549) ^ [] : [-(r1(_19988, 260 ^ [_19988]))], (265 ^ _16549) ^ [] : [-(r1(260 ^ [_19988], 263 ^ [_19988]))], (267 ^ _16549) ^ [] : [p2(263 ^ [_19988])], (269 ^ _16549) ^ [_21904] : [r1(263 ^ [_19988], _21904), p2(_21904), 274 ^ _16549 : [(275 ^ _16549) ^ [_22008] : [r1(_21904, _22008), -(p2(_22008))]]]], 197 ^ _16549 : [(198 ^ _16549) ^ [_20420] : [r1(_19988, _20420), 201 ^ _16549 : [(245 ^ _16549) ^ [] : [-(p2(_20420)), 249 ^ _16549 : [(250 ^ _16549) ^ [] : [-(r1(_20420, 248 ^ [_19988, _20420]))], (253 ^ _16549) ^ [] : [-(r1(248 ^ [_19988, _20420], 251 ^ [_19988, _20420]))], (255 ^ _16549) ^ [] : [p2(251 ^ [_19988, _20420])], (257 ^ _16549) ^ [] : [-(p2(248 ^ [_19988, _20420]))]]], (202 ^ _16549) ^ [] : [203 ^ _16549 : [(204 ^ _16549) ^ [_20668] : [r1(_20420, _20668), 207 ^ _16549 : [(208 ^ _16549) ^ [_20776] : [r1(_20668, _20776), -(p2(_20776)), 216 ^ _16549 : [(217 ^ _16549) ^ [] : [-(r1(_20776, 215 ^ [_19988, _20420, _20668, _20776]))], (220 ^ _16549) ^ [] : [-(r1(215 ^ [_19988, _20420, _20668, _20776], 218 ^ [_19988, _20420, _20668, _20776]))], (222 ^ _16549) ^ [] : [p2(218 ^ [_19988, _20420, _20668, _20776])], (224 ^ _16549) ^ [] : [-(p2(215 ^ [_19988, _20420, _20668, _20776]))]]]]]], 226 ^ _16549 : [(227 ^ _16549) ^ [] : [-(r1(_20420, 225 ^ [_19988, _20420]))], (229 ^ _16549) ^ [] : [p2(225 ^ [_19988, _20420])], (231 ^ _16549) ^ [_21237] : [r1(225 ^ [_19988, _20420], _21237), p2(_21237), 236 ^ _16549 : [(237 ^ _16549) ^ [_21349] : [r1(_21237, _21349), -(p2(_21349))]]]]]]]]]]], (317 ^ _16549) ^ [] : [-(p1(1 ^ [])), 322 ^ _16549 : [(323 ^ _16549) ^ [_22736] : [r1(1 ^ [], _22736), -(p4(_22736)), -(p3(_22736)), -(p2(_22736)), -(p1(_22736)), 342 ^ _16549 : [(343 ^ _16549) ^ [_23019] : [r1(_22736, _23019), -(p4(_23019)), -(p3(_23019)), -(p2(_23019)), -(p1(_23019)), 362 ^ _16549 : [(363 ^ _16549) ^ [_23279] : [r1(_23019, _23279), 366 ^ _16549 : [(367 ^ _16549) ^ [] : [-(false___)], (369 ^ _16549) ^ [] : [false___]]]]]]]], 371 ^ _16549 : [(372 ^ _16549) ^ [] : [-(r1(1 ^ [], 370 ^ []))], (374 ^ _16549) ^ [] : [p1(370 ^ [])], (377 ^ _16549) ^ [] : [-(r1(370 ^ [], 375 ^ []))], (379 ^ _16549) ^ [] : [p4(375 ^ [])], (381 ^ _16549) ^ [] : [p3(375 ^ [])], (383 ^ _16549) ^ [] : [p2(375 ^ [])], (385 ^ _16549) ^ [] : [p1(375 ^ [])], (388 ^ _16549) ^ [] : [-(r1(375 ^ [], 386 ^ []))], (390 ^ _16549) ^ [] : [p4(386 ^ [])], (392 ^ _16549) ^ [] : [p3(386 ^ [])], (394 ^ _16549) ^ [] : [p2(386 ^ [])], (396 ^ _16549) ^ [] : [p1(386 ^ [])], (399 ^ _16549) ^ [] : [-(r1(386 ^ [], 397 ^ []))], (401 ^ _16549) ^ [] : [false___, -(false___)], (407 ^ _16549) ^ [_24186] : [r1(370 ^ [], _24186), 468 ^ _16549 : [(469 ^ _16549) ^ [] : [p1(_24186)], (472 ^ _16549) ^ [] : [-(r1(_24186, 470 ^ [_24186]))], (474 ^ _16549) ^ [] : [p4(470 ^ [_24186])], (476 ^ _16549) ^ [] : [p3(470 ^ [_24186])], (478 ^ _16549) ^ [] : [p2(470 ^ [_24186])], (480 ^ _16549) ^ [] : [p1(470 ^ [_24186])], (483 ^ _16549) ^ [] : [-(r1(470 ^ [_24186], 481 ^ [_24186]))], (485 ^ _16549) ^ [] : [p4(481 ^ [_24186])], (487 ^ _16549) ^ [] : [p3(481 ^ [_24186])], (489 ^ _16549) ^ [] : [p2(481 ^ [_24186])], (491 ^ _16549) ^ [] : [p1(481 ^ [_24186])], (494 ^ _16549) ^ [] : [-(r1(481 ^ [_24186], 492 ^ [_24186]))], (496 ^ _16549) ^ [] : [false___, -(false___)]], 412 ^ _16549 : [(413 ^ _16549) ^ [_24440] : [r1(_24186, _24440), -(p1(_24440)), 420 ^ _16549 : [(421 ^ _16549) ^ [_24619] : [r1(_24440, _24619), -(p4(_24619)), -(p3(_24619)), -(p2(_24619)), -(p1(_24619)), 440 ^ _16549 : [(441 ^ _16549) ^ [_24922] : [r1(_24619, _24922), -(p4(_24922)), -(p3(_24922)), -(p2(_24922)), -(p1(_24922)), 460 ^ _16549 : [(461 ^ _16549) ^ [_25202] : [r1(_24922, _25202), 464 ^ _16549 : [(465 ^ _16549) ^ [] : [-(false___)], (467 ^ _16549) ^ [] : [false___]]]]]]]]]]]]], (502 ^ _16549) ^ [] : [-(p4(1 ^ [])), -(p3(1 ^ [])), -(p2(1 ^ [])), -(p1(1 ^ [])), 519 ^ _16549 : [(520 ^ _16549) ^ [_26105] : [r1(1 ^ [], _26105), -(p4(_26105)), -(p3(_26105)), -(p2(_26105)), -(p1(_26105)), 539 ^ _16549 : [(540 ^ _16549) ^ [_26355] : [r1(_26105, _26355), 543 ^ _16549 : [(544 ^ _16549) ^ [] : [-(false___)], (546 ^ _16549) ^ [] : [false___]]]]]], 548 ^ _16549 : [(549 ^ _16549) ^ [] : [-(r1(1 ^ [], 547 ^ []))], (551 ^ _16549) ^ [] : [p4(547 ^ [])], (553 ^ _16549) ^ [] : [p3(547 ^ [])], (555 ^ _16549) ^ [] : [p2(547 ^ [])], (557 ^ _16549) ^ [] : [p1(547 ^ [])], (560 ^ _16549) ^ [] : [-(r1(547 ^ [], 558 ^ []))], (562 ^ _16549) ^ [] : [p4(558 ^ [])], (564 ^ _16549) ^ [] : [p3(558 ^ [])], (566 ^ _16549) ^ [] : [p2(558 ^ [])], (568 ^ _16549) ^ [] : [p1(558 ^ [])], (571 ^ _16549) ^ [] : [-(r1(558 ^ [], 569 ^ []))], (573 ^ _16549) ^ [] : [false___, -(false___)], (579 ^ _16549) ^ [_27069] : [r1(547 ^ [], _27069), 632 ^ _16549 : [(633 ^ _16549) ^ [] : [p4(_27069)], (635 ^ _16549) ^ [] : [p3(_27069)], (637 ^ _16549) ^ [] : [p2(_27069)], (639 ^ _16549) ^ [] : [p1(_27069)], (642 ^ _16549) ^ [] : [-(r1(_27069, 640 ^ [_27069]))], (644 ^ _16549) ^ [] : [p4(640 ^ [_27069])], (646 ^ _16549) ^ [] : [p3(640 ^ [_27069])], (648 ^ _16549) ^ [] : [p2(640 ^ [_27069])], (650 ^ _16549) ^ [] : [p1(640 ^ [_27069])], (653 ^ _16549) ^ [] : [-(r1(640 ^ [_27069], 651 ^ [_27069]))], (655 ^ _16549) ^ [] : [false___, -(false___)]], 584 ^ _16549 : [(585 ^ _16549) ^ [_27287] : [r1(_27069, _27287), -(p4(_27287)), -(p3(_27287)), -(p2(_27287)), -(p1(_27287)), 604 ^ _16549 : [(605 ^ _16549) ^ [_27580] : [r1(_27287, _27580), -(p4(_27580)), -(p3(_27580)), -(p2(_27580)), -(p1(_27580)), 624 ^ _16549 : [(625 ^ _16549) ^ [_27850] : [r1(_27580, _27850), 628 ^ _16549 : [(629 ^ _16549) ^ [] : [-(false___)], (631 ^ _16549) ^ [] : [false___]]]]]]]]]]], (661 ^ _16549) ^ [] : [-(p3(1 ^ [])), -(p2(1 ^ [])), -(p1(1 ^ [])), 674 ^ _16549 : [(675 ^ _16549) ^ [_28556] : [r1(1 ^ [], _28556), -(p4(_28556)), -(p3(_28556)), -(p2(_28556)), -(p1(_28556)), 694 ^ _16549 : [(695 ^ _16549) ^ [_28806] : [r1(_28556, _28806), 698 ^ _16549 : [(699 ^ _16549) ^ [] : [-(false___)], (701 ^ _16549) ^ [] : [false___]]]]]], 703 ^ _16549 : [(704 ^ _16549) ^ [] : [-(r1(1 ^ [], 702 ^ []))], (706 ^ _16549) ^ [] : [p3(702 ^ [])], (708 ^ _16549) ^ [] : [p2(702 ^ [])], (710 ^ _16549) ^ [] : [p1(702 ^ [])], (713 ^ _16549) ^ [] : [-(r1(702 ^ [], 711 ^ []))], (715 ^ _16549) ^ [] : [p4(711 ^ [])], (717 ^ _16549) ^ [] : [p3(711 ^ [])], (719 ^ _16549) ^ [] : [p2(711 ^ [])], (721 ^ _16549) ^ [] : [p1(711 ^ [])], (724 ^ _16549) ^ [] : [-(r1(711 ^ [], 722 ^ []))], (726 ^ _16549) ^ [] : [false___, -(false___)], (732 ^ _16549) ^ [_29481] : [r1(702 ^ [], _29481), 781 ^ _16549 : [(782 ^ _16549) ^ [] : [p3(_29481)], (784 ^ _16549) ^ [] : [p2(_29481)], (786 ^ _16549) ^ [] : [p1(_29481)], (789 ^ _16549) ^ [] : [-(r1(_29481, 787 ^ [_29481]))], (791 ^ _16549) ^ [] : [p4(787 ^ [_29481])], (793 ^ _16549) ^ [] : [p3(787 ^ [_29481])], (795 ^ _16549) ^ [] : [p2(787 ^ [_29481])], (797 ^ _16549) ^ [] : [p1(787 ^ [_29481])], (800 ^ _16549) ^ [] : [-(r1(787 ^ [_29481], 798 ^ [_29481]))], (802 ^ _16549) ^ [] : [false___, -(false___)]], 737 ^ _16549 : [(738 ^ _16549) ^ [_29689] : [r1(_29481, _29689), -(p3(_29689)), -(p2(_29689)), -(p1(_29689)), 753 ^ _16549 : [(754 ^ _16549) ^ [_29933] : [r1(_29689, _29933), -(p4(_29933)), -(p3(_29933)), -(p2(_29933)), -(p1(_29933)), 773 ^ _16549 : [(774 ^ _16549) ^ [_30203] : [r1(_29933, _30203), 777 ^ _16549 : [(778 ^ _16549) ^ [] : [-(false___)], (780 ^ _16549) ^ [] : [false___]]]]]]]]]]], (808 ^ _16549) ^ [] : [-(p2(1 ^ [])), -(p1(1 ^ [])), 817 ^ _16549 : [(818 ^ _16549) ^ [_30837] : [r1(1 ^ [], _30837), -(p4(_30837)), -(p3(_30837)), -(p2(_30837)), -(p1(_30837)), 837 ^ _16549 : [(838 ^ _16549) ^ [_31087] : [r1(_30837, _31087), 841 ^ _16549 : [(842 ^ _16549) ^ [] : [-(false___)], (844 ^ _16549) ^ [] : [false___]]]]]], 846 ^ _16549 : [(847 ^ _16549) ^ [] : [-(r1(1 ^ [], 845 ^ []))], (849 ^ _16549) ^ [] : [p2(845 ^ [])], (851 ^ _16549) ^ [] : [p1(845 ^ [])], (854 ^ _16549) ^ [] : [-(r1(845 ^ [], 852 ^ []))], (856 ^ _16549) ^ [] : [p4(852 ^ [])], (858 ^ _16549) ^ [] : [p3(852 ^ [])], (860 ^ _16549) ^ [] : [p2(852 ^ [])], (862 ^ _16549) ^ [] : [p1(852 ^ [])], (865 ^ _16549) ^ [] : [-(r1(852 ^ [], 863 ^ []))], (867 ^ _16549) ^ [] : [false___, -(false___)], (873 ^ _16549) ^ [_31723] : [r1(845 ^ [], _31723), 918 ^ _16549 : [(919 ^ _16549) ^ [] : [p2(_31723)], (921 ^ _16549) ^ [] : [p1(_31723)], (924 ^ _16549) ^ [] : [-(r1(_31723, 922 ^ [_31723]))], (926 ^ _16549) ^ [] : [p4(922 ^ [_31723])], (928 ^ _16549) ^ [] : [p3(922 ^ [_31723])], (930 ^ _16549) ^ [] : [p2(922 ^ [_31723])], (932 ^ _16549) ^ [] : [p1(922 ^ [_31723])], (935 ^ _16549) ^ [] : [-(r1(922 ^ [_31723], 933 ^ [_31723]))], (937 ^ _16549) ^ [] : [false___, -(false___)]], 878 ^ _16549 : [(879 ^ _16549) ^ [_31921] : [r1(_31723, _31921), -(p2(_31921)), -(p1(_31921)), 890 ^ _16549 : [(891 ^ _16549) ^ [_32116] : [r1(_31921, _32116), -(p4(_32116)), -(p3(_32116)), -(p2(_32116)), -(p1(_32116)), 910 ^ _16549 : [(911 ^ _16549) ^ [_32386] : [r1(_32116, _32386), 914 ^ _16549 : [(915 ^ _16549) ^ [] : [-(false___)], (917 ^ _16549) ^ [] : [false___]]]]]]]]]]], (943 ^ _16549) ^ [] : [-(p1(1 ^ [])), 948 ^ _16549 : [(949 ^ _16549) ^ [_32948] : [r1(1 ^ [], _32948), -(p4(_32948)), -(p3(_32948)), -(p2(_32948)), -(p1(_32948)), 968 ^ _16549 : [(969 ^ _16549) ^ [_33198] : [r1(_32948, _33198), 972 ^ _16549 : [(973 ^ _16549) ^ [] : [-(false___)], (975 ^ _16549) ^ [] : [false___]]]]]], 977 ^ _16549 : [(978 ^ _16549) ^ [] : [-(r1(1 ^ [], 976 ^ []))], (980 ^ _16549) ^ [] : [p1(976 ^ [])], (983 ^ _16549) ^ [] : [-(r1(976 ^ [], 981 ^ []))], (985 ^ _16549) ^ [] : [p4(981 ^ [])], (987 ^ _16549) ^ [] : [p3(981 ^ [])], (989 ^ _16549) ^ [] : [p2(981 ^ [])], (991 ^ _16549) ^ [] : [p1(981 ^ [])], (994 ^ _16549) ^ [] : [-(r1(981 ^ [], 992 ^ []))], (996 ^ _16549) ^ [] : [false___, -(false___)], (1002 ^ _16549) ^ [_33795] : [r1(976 ^ [], _33795), 1043 ^ _16549 : [(1044 ^ _16549) ^ [] : [p1(_33795)], (1047 ^ _16549) ^ [] : [-(r1(_33795, 1045 ^ [_33795]))], (1049 ^ _16549) ^ [] : [p4(1045 ^ [_33795])], (1051 ^ _16549) ^ [] : [p3(1045 ^ [_33795])], (1053 ^ _16549) ^ [] : [p2(1045 ^ [_33795])], (1055 ^ _16549) ^ [] : [p1(1045 ^ [_33795])], (1058 ^ _16549) ^ [] : [-(r1(1045 ^ [_33795], 1056 ^ [_33795]))], (1060 ^ _16549) ^ [] : [false___, -(false___)]], 1007 ^ _16549 : [(1008 ^ _16549) ^ [_33983] : [r1(_33795, _33983), -(p1(_33983)), 1015 ^ _16549 : [(1016 ^ _16549) ^ [_34129] : [r1(_33983, _34129), -(p4(_34129)), -(p3(_34129)), -(p2(_34129)), -(p1(_34129)), 1035 ^ _16549 : [(1036 ^ _16549) ^ [_34399] : [r1(_34129, _34399), 1039 ^ _16549 : [(1040 ^ _16549) ^ [] : [-(false___)], (1042 ^ _16549) ^ [] : [false___]]]]]]]]]]], (1066 ^ _16549) ^ [] : [-(p4(1 ^ [])), -(p3(1 ^ [])), -(p2(1 ^ [])), -(p1(1 ^ [])), 1083 ^ _16549 : [(1084 ^ _16549) ^ [_35415] : [r1(1 ^ [], _35415), 1087 ^ _16549 : [(1088 ^ _16549) ^ [] : [-(false___)], (1090 ^ _16549) ^ [] : [false___]]]], 1092 ^ _16549 : [(1093 ^ _16549) ^ [] : [-(r1(1 ^ [], 1091 ^ []))], (1095 ^ _16549) ^ [] : [p4(1091 ^ [])], (1097 ^ _16549) ^ [] : [p3(1091 ^ [])], (1099 ^ _16549) ^ [] : [p2(1091 ^ [])], (1101 ^ _16549) ^ [] : [p1(1091 ^ [])], (1104 ^ _16549) ^ [] : [-(r1(1091 ^ [], 1102 ^ []))], (1106 ^ _16549) ^ [] : [false___, -(false___)], (1112 ^ _16549) ^ [_36295] : [r1(1091 ^ [], _36295), 1145 ^ _16549 : [(1146 ^ _16549) ^ [] : [p4(_36295)], (1148 ^ _16549) ^ [] : [p3(_36295)], (1150 ^ _16549) ^ [] : [p2(_36295)], (1152 ^ _16549) ^ [] : [p1(_36295)], (1155 ^ _16549) ^ [] : [-(r1(_36295, 1153 ^ [_36295]))], (1157 ^ _16549) ^ [] : [false___, -(false___)]], 1117 ^ _16549 : [(1118 ^ _16549) ^ [_36532] : [r1(_36295, _36532), -(p4(_36532)), -(p3(_36532)), -(p2(_36532)), -(p1(_36532)), 1137 ^ _16549 : [(1138 ^ _16549) ^ [_37008] : [r1(_36532, _37008), 1141 ^ _16549 : [(1142 ^ _16549) ^ [] : [-(false___)], (1144 ^ _16549) ^ [] : [false___]]]]]]]]], (1163 ^ _16549) ^ [] : [-(p3(1 ^ [])), -(p2(1 ^ [])), -(p1(1 ^ [])), 1176 ^ _16549 : [(1177 ^ _16549) ^ [_38053] : [r1(1 ^ [], _38053), 1180 ^ _16549 : [(1181 ^ _16549) ^ [] : [-(false___)], (1183 ^ _16549) ^ [] : [false___]]]], 1185 ^ _16549 : [(1186 ^ _16549) ^ [] : [-(r1(1 ^ [], 1184 ^ []))], (1188 ^ _16549) ^ [] : [p3(1184 ^ [])], (1190 ^ _16549) ^ [] : [p2(1184 ^ [])], (1192 ^ _16549) ^ [] : [p1(1184 ^ [])], (1195 ^ _16549) ^ [] : [-(r1(1184 ^ [], 1193 ^ []))], (1197 ^ _16549) ^ [] : [false___, -(false___)], (1203 ^ _16549) ^ [_38866] : [r1(1184 ^ [], _38866), 1232 ^ _16549 : [(1233 ^ _16549) ^ [] : [p3(_38866)], (1235 ^ _16549) ^ [] : [p2(_38866)], (1237 ^ _16549) ^ [] : [p1(_38866)], (1240 ^ _16549) ^ [] : [-(r1(_38866, 1238 ^ [_38866]))], (1242 ^ _16549) ^ [] : [false___, -(false___)]], 1208 ^ _16549 : [(1209 ^ _16549) ^ [_39093] : [r1(_38866, _39093), -(p3(_39093)), -(p2(_39093)), -(p1(_39093)), 1224 ^ _16549 : [(1225 ^ _16549) ^ [_39485] : [r1(_39093, _39485), 1228 ^ _16549 : [(1229 ^ _16549) ^ [] : [-(false___)], (1231 ^ _16549) ^ [] : [false___]]]]]]]]], (1248 ^ _16549) ^ [] : [-(p2(1 ^ [])), -(p1(1 ^ [])), 1257 ^ _16549 : [(1258 ^ _16549) ^ [_40393] : [r1(1 ^ [], _40393), 1261 ^ _16549 : [(1262 ^ _16549) ^ [] : [-(false___)], (1264 ^ _16549) ^ [] : [false___]]]], 1266 ^ _16549 : [(1267 ^ _16549) ^ [] : [-(r1(1 ^ [], 1265 ^ []))], (1269 ^ _16549) ^ [] : [p2(1265 ^ [])], (1271 ^ _16549) ^ [] : [p1(1265 ^ [])], (1274 ^ _16549) ^ [] : [-(r1(1265 ^ [], 1272 ^ []))], (1276 ^ _16549) ^ [] : [false___, -(false___)], (1282 ^ _16549) ^ [_41139] : [r1(1265 ^ [], _41139), 1307 ^ _16549 : [(1308 ^ _16549) ^ [] : [p2(_41139)], (1310 ^ _16549) ^ [] : [p1(_41139)], (1313 ^ _16549) ^ [] : [-(r1(_41139, 1311 ^ [_41139]))], (1315 ^ _16549) ^ [] : [false___, -(false___)]], 1287 ^ _16549 : [(1288 ^ _16549) ^ [_41356] : [r1(_41139, _41356), -(p2(_41356)), -(p1(_41356)), 1299 ^ _16549 : [(1300 ^ _16549) ^ [_41664] : [r1(_41356, _41664), 1303 ^ _16549 : [(1304 ^ _16549) ^ [] : [-(false___)], (1306 ^ _16549) ^ [] : [false___]]]]]]]]], (1382 ^ _16549) ^ [_44129] : [r1(1 ^ [], _44129), -(p2(_44129)), 1390 ^ _16549 : [(1391 ^ _16549) ^ [] : [-(r1(_44129, 1389 ^ [_44129]))], (1393 ^ _16549) ^ [] : [p2(1389 ^ [_44129])], (1395 ^ _16549) ^ [_44611] : [r1(1389 ^ [_44129], _44611), p2(_44611), 1400 ^ _16549 : [(1401 ^ _16549) ^ [_44804] : [r1(_44611, _44804), -(p2(_44804))]]]]], (1321 ^ _16549) ^ [] : [-(p1(1 ^ [])), 1326 ^ _16549 : [(1327 ^ _16549) ^ [_42435] : [r1(1 ^ [], _42435), 1330 ^ _16549 : [(1331 ^ _16549) ^ [] : [-(false___)], (1333 ^ _16549) ^ [] : [false___]]]], 1335 ^ _16549 : [(1336 ^ _16549) ^ [] : [-(r1(1 ^ [], 1334 ^ []))], (1338 ^ _16549) ^ [] : [p1(1334 ^ [])], (1341 ^ _16549) ^ [] : [-(r1(1334 ^ [], 1339 ^ []))], (1343 ^ _16549) ^ [] : [false___, -(false___)], (1349 ^ _16549) ^ [_43114] : [r1(1334 ^ [], _43114), 1370 ^ _16549 : [(1371 ^ _16549) ^ [] : [p1(_43114)], (1374 ^ _16549) ^ [] : [-(r1(_43114, 1372 ^ [_43114]))], (1376 ^ _16549) ^ [] : [false___, -(false___)]], 1354 ^ _16549 : [(1355 ^ _16549) ^ [_43321] : [r1(_43114, _43321), -(p1(_43321)), 1362 ^ _16549 : [(1363 ^ _16549) ^ [_43545] : [r1(_43321, _43545), 1366 ^ _16549 : [(1367 ^ _16549) ^ [] : [-(false___)], (1369 ^ _16549) ^ [] : [false___]]]]]]]]]], input).
% 15.31/15.75  ncf('1',plain,[p2(25 ^ [])],start(29 ^ 0)).
% 15.31/15.75  ncf('1.1',plain,[-(p2(25 ^ [])), r1(1 ^ [], 25 ^ []), 1391 : -(r1(25 ^ [], 1389 ^ [25 ^ []]))],extension(1382 ^ 1,bind([[_44129], [25 ^ []]]))).
% 15.31/15.75  ncf('1.1.1',plain,[-(r1(1 ^ [], 25 ^ []))],extension(27 ^ 2)).
% 15.31/15.75  ncf('1.1.2',plain,[r1(25 ^ [], 1389 ^ [25 ^ []]), 80 : -(p2(1389 ^ [25 ^ []])), 89 : -(r1(1389 ^ [25 ^ []], 87 ^ [25 ^ [], 1389 ^ [25 ^ []]])), 80 : r1(1 ^ [], 25 ^ []), 103 : r1(97 ^ [], 38 ^ [97 ^ []]), 103 : p2(38 ^ [97 ^ []]), 109 : r1(38 ^ [97 ^ []], 41 ^ [97 ^ []]), 109 : -(p2(41 ^ [97 ^ []])), 192 : r1(130 ^ [], 135 ^ []), 303 : r1(135 ^ [], 165 ^ [135 ^ []]), 303 : p2(165 ^ [135 ^ []]), 309 : r1(165 ^ [135 ^ []], 168 ^ [135 ^ []]), 309 : -(p2(168 ^ [135 ^ []])), 283 : r1(135 ^ [], 138 ^ []), 283 : -(p2(138 ^ [])), 292 : -(r1(138 ^ [], 290 ^ [135 ^ [], 138 ^ []])), 198 : r1(135 ^ [], 138 ^ []), 245 : -(p2(138 ^ [])), 250 : -(r1(138 ^ [], 248 ^ [135 ^ [], 138 ^ []]))],extension(72 ^ 4,bind([[_17626, _17730, _18135, _18225, _19988, _22454, _22548, _22117, _20420], [25 ^ [], 1389 ^ [25 ^ []], 38 ^ [97 ^ []], 41 ^ [97 ^ []], 135 ^ [], 165 ^ [135 ^ []], 168 ^ [135 ^ []], 138 ^ [], 138 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.1',plain,[p2(1389 ^ [25 ^ []])],extension(1393 ^ 11)).
% 15.31/15.75  ncf('1.1.2.2',plain,[r1(1389 ^ [25 ^ []], 87 ^ [25 ^ [], 1389 ^ [25 ^ []]]), p2(87 ^ [25 ^ [], 1389 ^ [25 ^ []]]), 1401 : r1(87 ^ [25 ^ [], 1389 ^ [25 ^ []]], 90 ^ [25 ^ [], 1389 ^ [25 ^ []]]), 1401 : -(p2(90 ^ [25 ^ [], 1389 ^ [25 ^ []]]))],extension(1395 ^ 13,bind([[_44611, _44804], [87 ^ [25 ^ [], 1389 ^ [25 ^ []]], 90 ^ [25 ^ [], 1389 ^ [25 ^ []]]]]))).
% 15.31/15.75  ncf('1.1.2.2.1',plain,[-(p2(87 ^ [25 ^ [], 1389 ^ [25 ^ []]]))],extension(96 ^ 14)).
% 15.31/15.75  ncf('1.1.2.2.2',plain,[-(r1(87 ^ [25 ^ [], 1389 ^ [25 ^ []]], 90 ^ [25 ^ [], 1389 ^ [25 ^ []]]))],extension(92 ^ 16)).
% 15.31/15.75  ncf('1.1.2.2.3',plain,[p2(90 ^ [25 ^ [], 1389 ^ [25 ^ []]])],extension(94 ^ 16)).
% 15.31/15.75  ncf('1.1.2.3',plain,[-(r1(1 ^ [], 25 ^ []))],lemmata('[1].x')).
% 15.31/15.75  ncf('1.1.2.4',plain,[-(r1(97 ^ [], 38 ^ [97 ^ []])), r1(1 ^ [], 97 ^ []), -(p2(97 ^ []))],extension(31 ^ 9,bind([[_16957], [97 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.4.1',plain,[-(r1(1 ^ [], 97 ^ []))],extension(99 ^ 10)).
% 15.31/15.75  ncf('1.1.2.4.2',plain,[p2(97 ^ [])],extension(101 ^ 10)).
% 15.31/15.75  ncf('1.1.2.5',plain,[-(p2(38 ^ [97 ^ []])), r1(1 ^ [], 97 ^ []), -(p2(97 ^ []))],extension(31 ^ 9,bind([[_16957], [97 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.5.1',plain,[-(r1(1 ^ [], 97 ^ []))],extension(99 ^ 10)).
% 15.31/15.75  ncf('1.1.2.5.2',plain,[p2(97 ^ [])],extension(101 ^ 10)).
% 15.31/15.75  ncf('1.1.2.6',plain,[-(r1(38 ^ [97 ^ []], 41 ^ [97 ^ []])), r1(1 ^ [], 97 ^ []), -(p2(97 ^ []))],extension(31 ^ 11,bind([[_16957], [97 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.6.1',plain,[-(r1(1 ^ [], 97 ^ []))],extension(99 ^ 12)).
% 15.31/15.75  ncf('1.1.2.6.2',plain,[p2(97 ^ [])],extension(101 ^ 12)).
% 15.31/15.75  ncf('1.1.2.7',plain,[p2(41 ^ [97 ^ []]), r1(1 ^ [], 97 ^ []), -(p2(97 ^ []))],extension(31 ^ 11,bind([[_16957], [97 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.7.1',plain,[-(r1(1 ^ [], 97 ^ []))],extension(99 ^ 12)).
% 15.31/15.75  ncf('1.1.2.7.2',plain,[p2(97 ^ [])],extension(101 ^ 12)).
% 15.31/15.75  ncf('1.1.2.8',plain,[-(r1(130 ^ [], 135 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 7,bind([[_19789, _19879], [38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.8.1',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 10,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.8.1.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 11)).
% 15.31/15.75  ncf('1.1.2.8.1.2',plain,[p2(130 ^ [])],extension(176 ^ 11)).
% 15.31/15.75  ncf('1.1.2.8.2',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 10,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.8.2.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 11)).
% 15.31/15.75  ncf('1.1.2.8.2.2',plain,[p2(130 ^ [])],extension(176 ^ 11)).
% 15.31/15.75  ncf('1.1.2.8.3',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.8.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.8.3.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.8.4',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.8.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.8.4.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.9',plain,[-(r1(135 ^ [], 165 ^ [135 ^ []])), 158 : r1(130 ^ [], 135 ^ []), 158 : -(p2(135 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 9,bind([[_19472, _19789, _19879], [135 ^ [], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.9.1',plain,[-(r1(130 ^ [], 135 ^ []))],lemmata('[1, 1].x')).
% 15.31/15.75  ncf('1.1.2.9.2',plain,[p2(135 ^ [])],extension(301 ^ 12)).
% 15.31/15.75  ncf('1.1.2.9.3',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.9.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.9.3.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.9.4',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.9.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.9.4.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.9.5',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.9.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.9.5.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.9.6',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.9.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.9.6.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.10',plain,[-(p2(165 ^ [135 ^ []])), 158 : r1(130 ^ [], 135 ^ []), 158 : -(p2(135 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 9,bind([[_19472, _19789, _19879], [135 ^ [], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.10.1',plain,[-(r1(130 ^ [], 135 ^ []))],lemmata('[1, 1].x')).
% 15.31/15.75  ncf('1.1.2.10.2',plain,[p2(135 ^ [])],extension(301 ^ 12)).
% 15.31/15.75  ncf('1.1.2.10.3',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.10.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.10.3.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.10.4',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.10.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.10.4.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.10.5',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.10.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.10.5.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.10.6',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.10.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.10.6.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.11',plain,[-(r1(165 ^ [135 ^ []], 168 ^ [135 ^ []])), 158 : r1(130 ^ [], 135 ^ []), 158 : -(p2(135 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 11,bind([[_19472, _19789, _19879], [135 ^ [], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.11.1',plain,[-(r1(130 ^ [], 135 ^ []))],lemmata('[1, 1].x')).
% 15.31/15.75  ncf('1.1.2.11.2',plain,[p2(135 ^ [])],extension(301 ^ 14)).
% 15.31/15.75  ncf('1.1.2.11.3',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.11.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.11.3.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.11.4',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.11.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.11.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.11.5',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.11.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.11.5.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.11.6',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.11.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.11.6.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.12',plain,[p2(168 ^ [135 ^ []]), 158 : r1(130 ^ [], 135 ^ []), 158 : -(p2(135 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 11,bind([[_19472, _19789, _19879], [135 ^ [], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.12.1',plain,[-(r1(130 ^ [], 135 ^ []))],lemmata('[1, 1].x')).
% 15.31/15.75  ncf('1.1.2.12.2',plain,[p2(135 ^ [])],extension(301 ^ 14)).
% 15.31/15.75  ncf('1.1.2.12.3',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.12.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.12.3.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.12.4',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.12.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.12.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.12.5',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.12.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.12.5.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.12.6',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.12.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.12.6.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.13',plain,[-(r1(135 ^ [], 138 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 9,bind([[_19789, _19879], [38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.13.1',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.13.1.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.13.1.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.13.2',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.13.2.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.13.2.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.13.3',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.13.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.13.3.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.13.4',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.13.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.13.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.14',plain,[p2(138 ^ []), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 9,bind([[_19789, _19879], [38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.14.1',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.14.1.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.14.1.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.14.2',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.14.2.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.14.2.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.14.3',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.14.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.14.3.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.14.4',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.14.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.14.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.15',plain,[r1(138 ^ [], 290 ^ [135 ^ [], 138 ^ []]), 144 : p2(290 ^ [135 ^ [], 138 ^ []]), 150 : r1(290 ^ [135 ^ [], 138 ^ []], 293 ^ [135 ^ [], 138 ^ []]), 150 : -(p2(293 ^ [135 ^ [], 138 ^ []])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 11,bind([[_19275, _19365, _19789, _19879], [290 ^ [135 ^ [], 138 ^ []], 293 ^ [135 ^ [], 138 ^ []], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.15.1',plain,[-(p2(290 ^ [135 ^ [], 138 ^ []]))],extension(299 ^ 14)).
% 15.31/15.75  ncf('1.1.2.15.2',plain,[-(r1(290 ^ [135 ^ [], 138 ^ []], 293 ^ [135 ^ [], 138 ^ []]))],extension(295 ^ 16)).
% 15.31/15.75  ncf('1.1.2.15.3',plain,[p2(293 ^ [135 ^ [], 138 ^ []])],extension(297 ^ 16)).
% 15.31/15.75  ncf('1.1.2.15.4',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.15.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.15.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.15.5',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.15.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.15.5.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.15.6',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.15.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.15.6.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.15.7',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.15.7.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.15.7.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.16',plain,[-(r1(135 ^ [], 138 ^ [])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 9,bind([[_19789, _19879], [38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.16.1',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.16.1.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.16.1.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.16.2',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 12,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.16.2.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 13)).
% 15.31/15.75  ncf('1.1.2.16.2.2',plain,[p2(130 ^ [])],extension(176 ^ 13)).
% 15.31/15.75  ncf('1.1.2.16.3',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.16.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.16.3.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.16.4',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.16.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.16.4.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.17',plain,[p2(138 ^ []), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 11,bind([[_19789, _19879], [38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.17.1',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.17.1.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.17.1.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.17.2',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 14,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.17.2.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 15)).
% 15.31/15.75  ncf('1.1.2.17.2.2',plain,[p2(130 ^ [])],extension(176 ^ 15)).
% 15.31/15.75  ncf('1.1.2.17.3',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.17.3.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.17.3.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.17.4',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.17.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.17.4.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.18',plain,[r1(138 ^ [], 248 ^ [135 ^ [], 138 ^ []]), 144 : p2(248 ^ [135 ^ [], 138 ^ []]), 150 : r1(248 ^ [135 ^ [], 138 ^ []], 251 ^ [135 ^ [], 138 ^ []]), 150 : -(p2(251 ^ [135 ^ [], 138 ^ []])), 178 : r1(130 ^ [], 38 ^ [130 ^ []]), 178 : p2(38 ^ [130 ^ []]), 184 : r1(38 ^ [130 ^ []], 41 ^ [130 ^ []]), 184 : -(p2(41 ^ [130 ^ []]))],extension(134 ^ 13,bind([[_19275, _19365, _19789, _19879], [248 ^ [135 ^ [], 138 ^ []], 251 ^ [135 ^ [], 138 ^ []], 38 ^ [130 ^ []], 41 ^ [130 ^ []]]]))).
% 15.31/15.75  ncf('1.1.2.18.1',plain,[-(p2(248 ^ [135 ^ [], 138 ^ []]))],extension(257 ^ 16)).
% 15.31/15.75  ncf('1.1.2.18.2',plain,[-(r1(248 ^ [135 ^ [], 138 ^ []], 251 ^ [135 ^ [], 138 ^ []]))],extension(253 ^ 18)).
% 15.31/15.75  ncf('1.1.2.18.3',plain,[p2(251 ^ [135 ^ [], 138 ^ []])],extension(255 ^ 18)).
% 15.31/15.75  ncf('1.1.2.18.4',plain,[-(r1(130 ^ [], 38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.18.4.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.18.4.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.18.5',plain,[-(p2(38 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 16,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.18.5.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 17)).
% 15.31/15.75  ncf('1.1.2.18.5.2',plain,[p2(130 ^ [])],extension(176 ^ 17)).
% 15.31/15.75  ncf('1.1.2.18.6',plain,[-(r1(38 ^ [130 ^ []], 41 ^ [130 ^ []])), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 18,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.18.6.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 19)).
% 15.31/15.75  ncf('1.1.2.18.6.2',plain,[p2(130 ^ [])],extension(176 ^ 19)).
% 15.31/15.75  ncf('1.1.2.18.7',plain,[p2(41 ^ [130 ^ []]), r1(1 ^ [], 130 ^ []), -(p2(130 ^ []))],extension(31 ^ 18,bind([[_16957], [130 ^ []]]))).
% 15.31/15.75  ncf('1.1.2.18.7.1',plain,[-(r1(1 ^ [], 130 ^ []))],extension(132 ^ 19)).
% 15.31/15.75  ncf('1.1.2.18.7.2',plain,[p2(130 ^ [])],extension(176 ^ 19)).
% 15.31/15.75  %-----------------------------------------------------
% 15.31/15.75  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------