%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL644+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 0.40s 1.38s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL644+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n010.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 : Thu May 18 15:54:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.40/1.38  
% 0.40/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.40/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  ncf(matrix, plain, [(3 ^ _166288) ^ [] : [4 ^ _166288 : [(5 ^ _166288) ^ [_166397] : [r1(1 ^ [], _166397), -(p10(_166397)), p11(_166397), 15 ^ _166288 : [(16 ^ _166288) ^ [] : [-(r1(_166397, 14 ^ [_166397]))], (18 ^ _166288) ^ [] : [p11(14 ^ [_166397])]]]], 23 ^ _166288 : [(24 ^ _166288) ^ [_166903] : [r1(1 ^ [], _166903), -(p11(_166903)), p10(_166903), 38 ^ _166288 : [(39 ^ _166288) ^ [] : [-(r1(_166903, 37 ^ [_166903]))], (41 ^ _166288) ^ [] : [p10(37 ^ [_166903])]], p10(_166903)]], 47 ^ _166288 : [(48 ^ _166288) ^ [] : [-(r1(1 ^ [], 46 ^ []))], (51 ^ _166288) ^ [] : [-(r1(46 ^ [], 49 ^ []))], (61 ^ _166288) ^ [] : [p10(49 ^ [])], (53 ^ _166288) ^ [] : [-(p11(49 ^ []))], (55 ^ _166288) ^ [_167877] : [r1(49 ^ [], _167877), -(p11(_167877))], (63 ^ _166288) ^ [] : [p11(46 ^ [])], (65 ^ _166288) ^ [] : [-(p10(46 ^ []))], (73 ^ _166288) ^ [] : [-(p10(46 ^ []))], (67 ^ _166288) ^ [_168210] : [r1(46 ^ [], _168210), -(p10(_168210))]], 77 ^ _166288 : [(78 ^ _166288) ^ [] : [-(r1(1 ^ [], 76 ^ []))], (80 ^ _166288) ^ [] : [-(p11(76 ^ []))], (82 ^ _166288) ^ [_168702] : [r1(76 ^ [], _168702), -(p11(_168702))], (88 ^ _166288) ^ [] : [p10(76 ^ [])], (91 ^ _166288) ^ [] : [-(r1(76 ^ [], 89 ^ []))], (93 ^ _166288) ^ [] : [p11(89 ^ [])], (95 ^ _166288) ^ [] : [-(p10(89 ^ []))], (103 ^ _166288) ^ [] : [-(p10(89 ^ []))], (97 ^ _166288) ^ [_169178] : [r1(89 ^ [], _169178), -(p10(_169178))]], 105 ^ _166288 : [(106 ^ _166288) ^ [] : [-(r1(1 ^ [], 104 ^ []))], (108 ^ _166288) ^ [] : [-(p11(104 ^ []))], (110 ^ _166288) ^ [_169627] : [r1(104 ^ [], _169627), -(p11(_169627))], (116 ^ _166288) ^ [] : [p10(104 ^ [])], (118 ^ _166288) ^ [] : [p11(104 ^ [])], (120 ^ _166288) ^ [] : [-(p10(104 ^ []))], (128 ^ _166288) ^ [] : [-(p10(104 ^ []))], (122 ^ _166288) ^ [_169976] : [r1(104 ^ [], _169976), -(p10(_169976))]]], (130 ^ _166288) ^ [] : [131 ^ _166288 : [(132 ^ _166288) ^ [_170264] : [r1(1 ^ [], _170264), -(p9(_170264)), p10(_170264), 142 ^ _166288 : [(143 ^ _166288) ^ [] : [-(r1(_170264, 141 ^ [_170264]))], (145 ^ _166288) ^ [] : [p10(141 ^ [_170264])]]]], 150 ^ _166288 : [(151 ^ _166288) ^ [_170770] : [r1(1 ^ [], _170770), -(p10(_170770)), p9(_170770), 165 ^ _166288 : [(166 ^ _166288) ^ [] : [-(r1(_170770, 164 ^ [_170770]))], (168 ^ _166288) ^ [] : [p9(164 ^ [_170770])]], p9(_170770)]], 174 ^ _166288 : [(175 ^ _166288) ^ [] : [-(r1(1 ^ [], 173 ^ []))], (178 ^ _166288) ^ [] : [-(r1(173 ^ [], 176 ^ []))], (188 ^ _166288) ^ [] : [p9(176 ^ [])], (180 ^ _166288) ^ [] : [-(p10(176 ^ []))], (182 ^ _166288) ^ [_171744] : [r1(176 ^ [], _171744), -(p10(_171744))], (190 ^ _166288) ^ [] : [p10(173 ^ [])], (192 ^ _166288) ^ [] : [-(p9(173 ^ []))], (200 ^ _166288) ^ [] : [-(p9(173 ^ []))], (194 ^ _166288) ^ [_172077] : [r1(173 ^ [], _172077), -(p9(_172077))]], 204 ^ _166288 : [(205 ^ _166288) ^ [] : [-(r1(1 ^ [], 203 ^ []))], (207 ^ _166288) ^ [] : [-(p10(203 ^ []))], (209 ^ _166288) ^ [_172569] : [r1(203 ^ [], _172569), -(p10(_172569))], (215 ^ _166288) ^ [] : [p9(203 ^ [])], (218 ^ _166288) ^ [] : [-(r1(203 ^ [], 216 ^ []))], (220 ^ _166288) ^ [] : [p10(216 ^ [])], (222 ^ _166288) ^ [] : [-(p9(216 ^ []))], (230 ^ _166288) ^ [] : [-(p9(216 ^ []))], (224 ^ _166288) ^ [_173045] : [r1(216 ^ [], _173045), -(p9(_173045))]], 232 ^ _166288 : [(233 ^ _166288) ^ [] : [-(r1(1 ^ [], 231 ^ []))], (235 ^ _166288) ^ [] : [-(p10(231 ^ []))], (237 ^ _166288) ^ [_173494] : [r1(231 ^ [], _173494), -(p10(_173494))], (243 ^ _166288) ^ [] : [p9(231 ^ [])], (245 ^ _166288) ^ [] : [p10(231 ^ [])], (247 ^ _166288) ^ [] : [-(p9(231 ^ []))], (255 ^ _166288) ^ [] : [-(p9(231 ^ []))], (249 ^ _166288) ^ [_173843] : [r1(231 ^ [], _173843), -(p9(_173843))]]], (257 ^ _166288) ^ [] : [258 ^ _166288 : [(259 ^ _166288) ^ [_174131] : [r1(1 ^ [], _174131), -(p8(_174131)), p9(_174131), 269 ^ _166288 : [(270 ^ _166288) ^ [] : [-(r1(_174131, 268 ^ [_174131]))], (272 ^ _166288) ^ [] : [p9(268 ^ [_174131])]]]], 277 ^ _166288 : [(278 ^ _166288) ^ [_174637] : [r1(1 ^ [], _174637), -(p9(_174637)), p8(_174637), 292 ^ _166288 : [(293 ^ _166288) ^ [] : [-(r1(_174637, 291 ^ [_174637]))], (295 ^ _166288) ^ [] : [p8(291 ^ [_174637])]], p8(_174637)]], 301 ^ _166288 : [(302 ^ _166288) ^ [] : [-(r1(1 ^ [], 300 ^ []))], (305 ^ _166288) ^ [] : [-(r1(300 ^ [], 303 ^ []))], (315 ^ _166288) ^ [] : [p8(303 ^ [])], (307 ^ _166288) ^ [] : [-(p9(303 ^ []))], (309 ^ _166288) ^ [_175611] : [r1(303 ^ [], _175611), -(p9(_175611))], (317 ^ _166288) ^ [] : [p9(300 ^ [])], (319 ^ _166288) ^ [] : [-(p8(300 ^ []))], (327 ^ _166288) ^ [] : [-(p8(300 ^ []))], (321 ^ _166288) ^ [_175944] : [r1(300 ^ [], _175944), -(p8(_175944))]], 331 ^ _166288 : [(332 ^ _166288) ^ [] : [-(r1(1 ^ [], 330 ^ []))], (334 ^ _166288) ^ [] : [-(p9(330 ^ []))], (336 ^ _166288) ^ [_176436] : [r1(330 ^ [], _176436), -(p9(_176436))], (342 ^ _166288) ^ [] : [p8(330 ^ [])], (345 ^ _166288) ^ [] : [-(r1(330 ^ [], 343 ^ []))], (347 ^ _166288) ^ [] : [p9(343 ^ [])], (349 ^ _166288) ^ [] : [-(p8(343 ^ []))], (357 ^ _166288) ^ [] : [-(p8(343 ^ []))], (351 ^ _166288) ^ [_176912] : [r1(343 ^ [], _176912), -(p8(_176912))]], 359 ^ _166288 : [(360 ^ _166288) ^ [] : [-(r1(1 ^ [], 358 ^ []))], (362 ^ _166288) ^ [] : [-(p9(358 ^ []))], (364 ^ _166288) ^ [_177361] : [r1(358 ^ [], _177361), -(p9(_177361))], (370 ^ _166288) ^ [] : [p8(358 ^ [])], (372 ^ _166288) ^ [] : [p9(358 ^ [])], (374 ^ _166288) ^ [] : [-(p8(358 ^ []))], (382 ^ _166288) ^ [] : [-(p8(358 ^ []))], (376 ^ _166288) ^ [_177710] : [r1(358 ^ [], _177710), -(p8(_177710))]]], (384 ^ _166288) ^ [] : [385 ^ _166288 : [(386 ^ _166288) ^ [_177998] : [r1(1 ^ [], _177998), -(p7(_177998)), p8(_177998), 396 ^ _166288 : [(397 ^ _166288) ^ [] : [-(r1(_177998, 395 ^ [_177998]))], (399 ^ _166288) ^ [] : [p8(395 ^ [_177998])]]]], 404 ^ _166288 : [(405 ^ _166288) ^ [_178504] : [r1(1 ^ [], _178504), -(p8(_178504)), p7(_178504), 419 ^ _166288 : [(420 ^ _166288) ^ [] : [-(r1(_178504, 418 ^ [_178504]))], (422 ^ _166288) ^ [] : [p7(418 ^ [_178504])]], p7(_178504)]], 428 ^ _166288 : [(429 ^ _166288) ^ [] : [-(r1(1 ^ [], 427 ^ []))], (432 ^ _166288) ^ [] : [-(r1(427 ^ [], 430 ^ []))], (442 ^ _166288) ^ [] : [p7(430 ^ [])], (434 ^ _166288) ^ [] : [-(p8(430 ^ []))], (436 ^ _166288) ^ [_179478] : [r1(430 ^ [], _179478), -(p8(_179478))], (444 ^ _166288) ^ [] : [p8(427 ^ [])], (446 ^ _166288) ^ [] : [-(p7(427 ^ []))], (454 ^ _166288) ^ [] : [-(p7(427 ^ []))], (448 ^ _166288) ^ [_179811] : [r1(427 ^ [], _179811), -(p7(_179811))]], 458 ^ _166288 : [(459 ^ _166288) ^ [] : [-(r1(1 ^ [], 457 ^ []))], (461 ^ _166288) ^ [] : [-(p8(457 ^ []))], (463 ^ _166288) ^ [_180303] : [r1(457 ^ [], _180303), -(p8(_180303))], (469 ^ _166288) ^ [] : [p7(457 ^ [])], (472 ^ _166288) ^ [] : [-(r1(457 ^ [], 470 ^ []))], (474 ^ _166288) ^ [] : [p8(470 ^ [])], (476 ^ _166288) ^ [] : [-(p7(470 ^ []))], (484 ^ _166288) ^ [] : [-(p7(470 ^ []))], (478 ^ _166288) ^ [_180779] : [r1(470 ^ [], _180779), -(p7(_180779))]], 486 ^ _166288 : [(487 ^ _166288) ^ [] : [-(r1(1 ^ [], 485 ^ []))], (489 ^ _166288) ^ [] : [-(p8(485 ^ []))], (491 ^ _166288) ^ [_181228] : [r1(485 ^ [], _181228), -(p8(_181228))], (497 ^ _166288) ^ [] : [p7(485 ^ [])], (499 ^ _166288) ^ [] : [p8(485 ^ [])], (501 ^ _166288) ^ [] : [-(p7(485 ^ []))], (509 ^ _166288) ^ [] : [-(p7(485 ^ []))], (503 ^ _166288) ^ [_181577] : [r1(485 ^ [], _181577), -(p7(_181577))]]], (511 ^ _166288) ^ [] : [512 ^ _166288 : [(513 ^ _166288) ^ [_181865] : [r1(1 ^ [], _181865), -(p6(_181865)), p7(_181865), 523 ^ _166288 : [(524 ^ _166288) ^ [] : [-(r1(_181865, 522 ^ [_181865]))], (526 ^ _166288) ^ [] : [p7(522 ^ [_181865])]]]], 531 ^ _166288 : [(532 ^ _166288) ^ [_182371] : [r1(1 ^ [], _182371), -(p7(_182371)), p6(_182371), 546 ^ _166288 : [(547 ^ _166288) ^ [] : [-(r1(_182371, 545 ^ [_182371]))], (549 ^ _166288) ^ [] : [p6(545 ^ [_182371])]], p6(_182371)]], 555 ^ _166288 : [(556 ^ _166288) ^ [] : [-(r1(1 ^ [], 554 ^ []))], (559 ^ _166288) ^ [] : [-(r1(554 ^ [], 557 ^ []))], (569 ^ _166288) ^ [] : [p6(557 ^ [])], (561 ^ _166288) ^ [] : [-(p7(557 ^ []))], (563 ^ _166288) ^ [_183345] : [r1(557 ^ [], _183345), -(p7(_183345))], (571 ^ _166288) ^ [] : [p7(554 ^ [])], (573 ^ _166288) ^ [] : [-(p6(554 ^ []))], (581 ^ _166288) ^ [] : [-(p6(554 ^ []))], (575 ^ _166288) ^ [_183678] : [r1(554 ^ [], _183678), -(p6(_183678))]], 585 ^ _166288 : [(586 ^ _166288) ^ [] : [-(r1(1 ^ [], 584 ^ []))], (588 ^ _166288) ^ [] : [-(p7(584 ^ []))], (590 ^ _166288) ^ [_184170] : [r1(584 ^ [], _184170), -(p7(_184170))], (596 ^ _166288) ^ [] : [p6(584 ^ [])], (599 ^ _166288) ^ [] : [-(r1(584 ^ [], 597 ^ []))], (601 ^ _166288) ^ [] : [p7(597 ^ [])], (603 ^ _166288) ^ [] : [-(p6(597 ^ []))], (611 ^ _166288) ^ [] : [-(p6(597 ^ []))], (605 ^ _166288) ^ [_184646] : [r1(597 ^ [], _184646), -(p6(_184646))]], 613 ^ _166288 : [(614 ^ _166288) ^ [] : [-(r1(1 ^ [], 612 ^ []))], (616 ^ _166288) ^ [] : [-(p7(612 ^ []))], (618 ^ _166288) ^ [_185095] : [r1(612 ^ [], _185095), -(p7(_185095))], (624 ^ _166288) ^ [] : [p6(612 ^ [])], (626 ^ _166288) ^ [] : [p7(612 ^ [])], (628 ^ _166288) ^ [] : [-(p6(612 ^ []))], (636 ^ _166288) ^ [] : [-(p6(612 ^ []))], (630 ^ _166288) ^ [_185444] : [r1(612 ^ [], _185444), -(p6(_185444))]]], (638 ^ _166288) ^ [] : [639 ^ _166288 : [(640 ^ _166288) ^ [_185732] : [r1(1 ^ [], _185732), -(p5(_185732)), p6(_185732), 650 ^ _166288 : [(651 ^ _166288) ^ [] : [-(r1(_185732, 649 ^ [_185732]))], (653 ^ _166288) ^ [] : [p6(649 ^ [_185732])]]]], 658 ^ _166288 : [(659 ^ _166288) ^ [_186238] : [r1(1 ^ [], _186238), -(p6(_186238)), p5(_186238), 673 ^ _166288 : [(674 ^ _166288) ^ [] : [-(r1(_186238, 672 ^ [_186238]))], (676 ^ _166288) ^ [] : [p5(672 ^ [_186238])]], p5(_186238)]], 682 ^ _166288 : [(683 ^ _166288) ^ [] : [-(r1(1 ^ [], 681 ^ []))], (686 ^ _166288) ^ [] : [-(r1(681 ^ [], 684 ^ []))], (696 ^ _166288) ^ [] : [p5(684 ^ [])], (688 ^ _166288) ^ [] : [-(p6(684 ^ []))], (690 ^ _166288) ^ [_187212] : [r1(684 ^ [], _187212), -(p6(_187212))], (698 ^ _166288) ^ [] : [p6(681 ^ [])], (700 ^ _166288) ^ [] : [-(p5(681 ^ []))], (708 ^ _166288) ^ [] : [-(p5(681 ^ []))], (702 ^ _166288) ^ [_187545] : [r1(681 ^ [], _187545), -(p5(_187545))]], 712 ^ _166288 : [(713 ^ _166288) ^ [] : [-(r1(1 ^ [], 711 ^ []))], (715 ^ _166288) ^ [] : [-(p6(711 ^ []))], (717 ^ _166288) ^ [_188037] : [r1(711 ^ [], _188037), -(p6(_188037))], (723 ^ _166288) ^ [] : [p5(711 ^ [])], (726 ^ _166288) ^ [] : [-(r1(711 ^ [], 724 ^ []))], (728 ^ _166288) ^ [] : [p6(724 ^ [])], (730 ^ _166288) ^ [] : [-(p5(724 ^ []))], (738 ^ _166288) ^ [] : [-(p5(724 ^ []))], (732 ^ _166288) ^ [_188513] : [r1(724 ^ [], _188513), -(p5(_188513))]], 740 ^ _166288 : [(741 ^ _166288) ^ [] : [-(r1(1 ^ [], 739 ^ []))], (743 ^ _166288) ^ [] : [-(p6(739 ^ []))], (745 ^ _166288) ^ [_188962] : [r1(739 ^ [], _188962), -(p6(_188962))], (751 ^ _166288) ^ [] : [p5(739 ^ [])], (753 ^ _166288) ^ [] : [p6(739 ^ [])], (755 ^ _166288) ^ [] : [-(p5(739 ^ []))], (763 ^ _166288) ^ [] : [-(p5(739 ^ []))], (757 ^ _166288) ^ [_189311] : [r1(739 ^ [], _189311), -(p5(_189311))]]], (765 ^ _166288) ^ [] : [766 ^ _166288 : [(767 ^ _166288) ^ [_189599] : [r1(1 ^ [], _189599), -(p4(_189599)), p5(_189599), 777 ^ _166288 : [(778 ^ _166288) ^ [] : [-(r1(_189599, 776 ^ [_189599]))], (780 ^ _166288) ^ [] : [p5(776 ^ [_189599])]]]], 785 ^ _166288 : [(786 ^ _166288) ^ [_190105] : [r1(1 ^ [], _190105), -(p5(_190105)), p4(_190105), 800 ^ _166288 : [(801 ^ _166288) ^ [] : [-(r1(_190105, 799 ^ [_190105]))], (803 ^ _166288) ^ [] : [p4(799 ^ [_190105])]], p4(_190105)]], 809 ^ _166288 : [(810 ^ _166288) ^ [] : [-(r1(1 ^ [], 808 ^ []))], (813 ^ _166288) ^ [] : [-(r1(808 ^ [], 811 ^ []))], (823 ^ _166288) ^ [] : [p4(811 ^ [])], (815 ^ _166288) ^ [] : [-(p5(811 ^ []))], (817 ^ _166288) ^ [_191079] : [r1(811 ^ [], _191079), -(p5(_191079))], (825 ^ _166288) ^ [] : [p5(808 ^ [])], (827 ^ _166288) ^ [] : [-(p4(808 ^ []))], (835 ^ _166288) ^ [] : [-(p4(808 ^ []))], (829 ^ _166288) ^ [_191412] : [r1(808 ^ [], _191412), -(p4(_191412))]], 839 ^ _166288 : [(840 ^ _166288) ^ [] : [-(r1(1 ^ [], 838 ^ []))], (842 ^ _166288) ^ [] : [-(p5(838 ^ []))], (844 ^ _166288) ^ [_191904] : [r1(838 ^ [], _191904), -(p5(_191904))], (850 ^ _166288) ^ [] : [p4(838 ^ [])], (853 ^ _166288) ^ [] : [-(r1(838 ^ [], 851 ^ []))], (855 ^ _166288) ^ [] : [p5(851 ^ [])], (857 ^ _166288) ^ [] : [-(p4(851 ^ []))], (865 ^ _166288) ^ [] : [-(p4(851 ^ []))], (859 ^ _166288) ^ [_192380] : [r1(851 ^ [], _192380), -(p4(_192380))]], 867 ^ _166288 : [(868 ^ _166288) ^ [] : [-(r1(1 ^ [], 866 ^ []))], (870 ^ _166288) ^ [] : [-(p5(866 ^ []))], (872 ^ _166288) ^ [_192829] : [r1(866 ^ [], _192829), -(p5(_192829))], (878 ^ _166288) ^ [] : [p4(866 ^ [])], (880 ^ _166288) ^ [] : [p5(866 ^ [])], (882 ^ _166288) ^ [] : [-(p4(866 ^ []))], (890 ^ _166288) ^ [] : [-(p4(866 ^ []))], (884 ^ _166288) ^ [_193178] : [r1(866 ^ [], _193178), -(p4(_193178))]]], (893 ^ _166288) ^ [] : [-(r1(1 ^ [], 891 ^ []))], (895 ^ _166288) ^ [] : [p10(891 ^ [])], (903 ^ _166288) ^ [] : [-(p10(891 ^ []))], (897 ^ _166288) ^ [_193630] : [r1(891 ^ [], _193630), -(p10(_193630))], (906 ^ _166288) ^ [] : [-(r1(1 ^ [], 904 ^ []))], (908 ^ _166288) ^ [] : [p10(904 ^ [])], (916 ^ _166288) ^ [] : [-(p10(904 ^ []))], (910 ^ _166288) ^ [_194053] : [r1(904 ^ [], _194053), -(p10(_194053))], (918 ^ _166288) ^ [] : [919 ^ _166288 : [(920 ^ _166288) ^ [_194312] : [r1(1 ^ [], _194312), -(p3(_194312)), p4(_194312), 930 ^ _166288 : [(931 ^ _166288) ^ [] : [-(r1(_194312, 929 ^ [_194312]))], (933 ^ _166288) ^ [] : [p4(929 ^ [_194312])]]]], 938 ^ _166288 : [(939 ^ _166288) ^ [_194818] : [r1(1 ^ [], _194818), -(p4(_194818)), p3(_194818), 953 ^ _166288 : [(954 ^ _166288) ^ [] : [-(r1(_194818, 952 ^ [_194818]))], (956 ^ _166288) ^ [] : [p3(952 ^ [_194818])]], p3(_194818)]], 962 ^ _166288 : [(963 ^ _166288) ^ [] : [-(r1(1 ^ [], 961 ^ []))], (966 ^ _166288) ^ [] : [-(r1(961 ^ [], 964 ^ []))], (976 ^ _166288) ^ [] : [p3(964 ^ [])], (968 ^ _166288) ^ [] : [-(p4(964 ^ []))], (970 ^ _166288) ^ [_195792] : [r1(964 ^ [], _195792), -(p4(_195792))], (978 ^ _166288) ^ [] : [p4(961 ^ [])], (980 ^ _166288) ^ [] : [-(p3(961 ^ []))], (988 ^ _166288) ^ [] : [-(p3(961 ^ []))], (982 ^ _166288) ^ [_196125] : [r1(961 ^ [], _196125), -(p3(_196125))]], 992 ^ _166288 : [(993 ^ _166288) ^ [] : [-(r1(1 ^ [], 991 ^ []))], (995 ^ _166288) ^ [] : [-(p4(991 ^ []))], (997 ^ _166288) ^ [_196617] : [r1(991 ^ [], _196617), -(p4(_196617))], (1003 ^ _166288) ^ [] : [p3(991 ^ [])], (1006 ^ _166288) ^ [] : [-(r1(991 ^ [], 1004 ^ []))], (1008 ^ _166288) ^ [] : [p4(1004 ^ [])], (1010 ^ _166288) ^ [] : [-(p3(1004 ^ []))], (1018 ^ _166288) ^ [] : [-(p3(1004 ^ []))], (1012 ^ _166288) ^ [_197093] : [r1(1004 ^ [], _197093), -(p3(_197093))]], 1020 ^ _166288 : [(1021 ^ _166288) ^ [] : [-(r1(1 ^ [], 1019 ^ []))], (1023 ^ _166288) ^ [] : [-(p4(1019 ^ []))], (1025 ^ _166288) ^ [_197542] : [r1(1019 ^ [], _197542), -(p4(_197542))], (1031 ^ _166288) ^ [] : [p3(1019 ^ [])], (1033 ^ _166288) ^ [] : [p4(1019 ^ [])], (1035 ^ _166288) ^ [] : [-(p3(1019 ^ []))], (1043 ^ _166288) ^ [] : [-(p3(1019 ^ []))], (1037 ^ _166288) ^ [_197891] : [r1(1019 ^ [], _197891), -(p3(_197891))]]], (1045 ^ _166288) ^ [] : [1046 ^ _166288 : [(1047 ^ _166288) ^ [_198179] : [r1(1 ^ [], _198179), -(p2(_198179)), p3(_198179), 1057 ^ _166288 : [(1058 ^ _166288) ^ [] : [-(r1(_198179, 1056 ^ [_198179]))], (1060 ^ _166288) ^ [] : [p3(1056 ^ [_198179])]]]], 1065 ^ _166288 : [(1066 ^ _166288) ^ [_198685] : [r1(1 ^ [], _198685), -(p3(_198685)), p2(_198685), 1080 ^ _166288 : [(1081 ^ _166288) ^ [] : [-(r1(_198685, 1079 ^ [_198685]))], (1083 ^ _166288) ^ [] : [p2(1079 ^ [_198685])]], p2(_198685)]], 1089 ^ _166288 : [(1090 ^ _166288) ^ [] : [-(r1(1 ^ [], 1088 ^ []))], (1093 ^ _166288) ^ [] : [-(r1(1088 ^ [], 1091 ^ []))], (1103 ^ _166288) ^ [] : [p2(1091 ^ [])], (1095 ^ _166288) ^ [] : [-(p3(1091 ^ []))], (1097 ^ _166288) ^ [_199659] : [r1(1091 ^ [], _199659), -(p3(_199659))], (1105 ^ _166288) ^ [] : [p3(1088 ^ [])], (1107 ^ _166288) ^ [] : [-(p2(1088 ^ []))], (1115 ^ _166288) ^ [] : [-(p2(1088 ^ []))], (1109 ^ _166288) ^ [_199992] : [r1(1088 ^ [], _199992), -(p2(_199992))]], 1119 ^ _166288 : [(1120 ^ _166288) ^ [] : [-(r1(1 ^ [], 1118 ^ []))], (1122 ^ _166288) ^ [] : [-(p3(1118 ^ []))], (1124 ^ _166288) ^ [_200484] : [r1(1118 ^ [], _200484), -(p3(_200484))], (1130 ^ _166288) ^ [] : [p2(1118 ^ [])], (1133 ^ _166288) ^ [] : [-(r1(1118 ^ [], 1131 ^ []))], (1135 ^ _166288) ^ [] : [p3(1131 ^ [])], (1137 ^ _166288) ^ [] : [-(p2(1131 ^ []))], (1145 ^ _166288) ^ [] : [-(p2(1131 ^ []))], (1139 ^ _166288) ^ [_200960] : [r1(1131 ^ [], _200960), -(p2(_200960))]], 1147 ^ _166288 : [(1148 ^ _166288) ^ [] : [-(r1(1 ^ [], 1146 ^ []))], (1150 ^ _166288) ^ [] : [-(p3(1146 ^ []))], (1152 ^ _166288) ^ [_201409] : [r1(1146 ^ [], _201409), -(p3(_201409))], (1158 ^ _166288) ^ [] : [p2(1146 ^ [])], (1160 ^ _166288) ^ [] : [p3(1146 ^ [])], (1162 ^ _166288) ^ [] : [-(p2(1146 ^ []))], (1170 ^ _166288) ^ [] : [-(p2(1146 ^ []))], (1164 ^ _166288) ^ [_201758] : [r1(1146 ^ [], _201758), -(p2(_201758))]]], (1172 ^ _166288) ^ [] : [1173 ^ _166288 : [(1174 ^ _166288) ^ [_202026] : [r1(1 ^ [], _202026), -(p1(_202026)), p2(_202026), 1184 ^ _166288 : [(1185 ^ _166288) ^ [] : [-(r1(_202026, 1183 ^ [_202026]))], (1187 ^ _166288) ^ [] : [p2(1183 ^ [_202026])]]]], 1192 ^ _166288 : [(1193 ^ _166288) ^ [_202532] : [r1(1 ^ [], _202532), -(p2(_202532)), p1(_202532), 1207 ^ _166288 : [(1208 ^ _166288) ^ [] : [-(r1(_202532, 1206 ^ [_202532]))], (1210 ^ _166288) ^ [] : [p1(1206 ^ [_202532])]], p1(_202532)]], 1216 ^ _166288 : [(1217 ^ _166288) ^ [] : [-(r1(1 ^ [], 1215 ^ []))], (1220 ^ _166288) ^ [] : [-(r1(1215 ^ [], 1218 ^ []))], (1230 ^ _166288) ^ [] : [p1(1218 ^ [])], (1222 ^ _166288) ^ [] : [-(p2(1218 ^ []))], (1224 ^ _166288) ^ [_203506] : [r1(1218 ^ [], _203506), -(p2(_203506))], (1232 ^ _166288) ^ [] : [p2(1215 ^ [])], (1234 ^ _166288) ^ [] : [-(p1(1215 ^ []))], (1242 ^ _166288) ^ [] : [-(p1(1215 ^ []))], (1236 ^ _166288) ^ [_203839] : [r1(1215 ^ [], _203839), -(p1(_203839))]], 1246 ^ _166288 : [(1247 ^ _166288) ^ [] : [-(r1(1 ^ [], 1245 ^ []))], (1249 ^ _166288) ^ [] : [-(p2(1245 ^ []))], (1251 ^ _166288) ^ [_204331] : [r1(1245 ^ [], _204331), -(p2(_204331))], (1257 ^ _166288) ^ [] : [p1(1245 ^ [])], (1260 ^ _166288) ^ [] : [-(r1(1245 ^ [], 1258 ^ []))], (1262 ^ _166288) ^ [] : [p2(1258 ^ [])], (1264 ^ _166288) ^ [] : [-(p1(1258 ^ []))], (1272 ^ _166288) ^ [] : [-(p1(1258 ^ []))], (1266 ^ _166288) ^ [_204807] : [r1(1258 ^ [], _204807), -(p1(_204807))]], 1274 ^ _166288 : [(1275 ^ _166288) ^ [] : [-(r1(1 ^ [], 1273 ^ []))], (1277 ^ _166288) ^ [] : [-(p2(1273 ^ []))], (1279 ^ _166288) ^ [_205256] : [r1(1273 ^ [], _205256), -(p2(_205256))], (1285 ^ _166288) ^ [] : [p1(1273 ^ [])], (1287 ^ _166288) ^ [] : [p2(1273 ^ [])], (1289 ^ _166288) ^ [] : [-(p1(1273 ^ []))], (1297 ^ _166288) ^ [] : [-(p1(1273 ^ []))], (1291 ^ _166288) ^ [_205605] : [r1(1273 ^ [], _205605), -(p1(_205605))]]]], input).
% 0.40/1.38  ncf('1',plain,[p10(891 ^ [])],start(895 ^ 0)).
% 0.40/1.38  ncf('1.1',plain,[-(p10(891 ^ []))],extension(903 ^ 1)).
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------