TSTP Solution File: SEU435+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 12:04:36 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 13:31:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(679 ^ _121945) ^ [] : [-(m1_subset_1(677 ^ [], k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(675 ^ [], 676 ^ [])))))], (684 ^ _121945) ^ [] : [-(m1_subset_1(682 ^ [], k1_zfmisc_1(680 ^ [])))], (686 ^ _121945) ^ [] : [m1_subset_1(a_6_0_relset_2(675 ^ [], 676 ^ [], 677 ^ [], 680 ^ [], 681 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(681 ^ [])))], (170 ^ _121945) ^ [_127502, _127504] : [_127504 = _127502, -(k3_pua2mss1(_127504) = k3_pua2mss1(_127502))], (176 ^ _121945) ^ [_127748, _127750, _127752, _127754] : [-(k8_setfam_1(_127754, _127750) = k8_setfam_1(_127752, _127748)), _127754 = _127752, _127750 = _127748], (186 ^ _121945) ^ [_128163, _128165, _128167, _128169, _128171, _128173, _128175, _128177] : [-(k4_relset_2(_128177, _128173, _128169, _128165) = k4_relset_2(_128175, _128171, _128167, _128163)), _128177 = _128175, _128173 = _128171, _128169 = _128167, _128165 = _128163], (204 ^ _121945) ^ [_128796, _128798, _128800, _128802] : [-(k9_relat_1(_128802, _128798) = k9_relat_1(_128800, _128796)), _128802 = _128800, _128798 = _128796], (214 ^ _121945) ^ [_129183, _129185, _129187, _129189, _129191, _129193] : [-(k6_relset_2(_129193, _129189, _129185) = k6_relset_2(_129191, _129187, _129183)), _129193 = _129191, _129189 = _129187, _129185 = _129183], (228 ^ _121945) ^ [_129671, _129673, _129675, _129677] : [-(k5_relset_2(_129677, _129673) = k5_relset_2(_129675, _129671)), _129677 = _129675, _129673 = _129671], (238 ^ _121945) ^ [_130086, _130088, _130090, _130092, _130094, _130096, _130098, _130100] : [-(k8_relset_2(_130100, _130096, _130092, _130088) = k8_relset_2(_130098, _130094, _130090, _130086)), _130100 = _130098, _130096 = _130094, _130092 = _130090, _130088 = _130086], (256 ^ _121945) ^ [_130775, _130777, _130779, _130781, _130783, _130785, _130787, _130789] : [-(k7_relset_2(_130789, _130785, _130781, _130777) = k7_relset_2(_130787, _130783, _130779, _130775)), _130789 = _130787, _130785 = _130783, _130781 = _130779, _130777 = _130775], (274 ^ _121945) ^ [_131408, _131410, _131412, _131414] : [-(k2_zfmisc_1(_131414, _131410) = k2_zfmisc_1(_131412, _131408)), _131414 = _131412, _131410 = _131408], (310 ^ _121945) ^ [_132802, _132804] : [_132804 = _132802, -(k1_zfmisc_1(_132804) = k1_zfmisc_1(_132802))], (284 ^ _121945) ^ [_131879, _131881, _131883, _131885, _131887, _131889, _131891, _131893, _131895, _131897, _131899, _131901] : [-(a_6_0_relset_2(_131901, _131897, _131893, _131889, _131885, _131881) = a_6_0_relset_2(_131899, _131895, _131891, _131887, _131883, _131879)), _131901 = _131899, _131897 = _131895, _131893 = _131891, _131889 = _131887, _131885 = _131883, _131881 = _131879], (2 ^ _121945) ^ [_122089] : [-(_122089 = _122089)], (4 ^ _121945) ^ [_122196, _122198] : [_122198 = _122196, -(_122196 = _122198)], (10 ^ _121945) ^ [_122400, _122402, _122404] : [-(_122404 = _122400), _122404 = _122402, _122402 = _122400], (20 ^ _121945) ^ [_122769, _122771, _122773, _122775, _122777, _122779] : [-(v1_funct_2(_122777, _122773, _122769)), v1_funct_2(_122779, _122775, _122771), _122779 = _122777, _122775 = _122773, _122771 = _122769], (38 ^ _121945) ^ [_123350, _123352, _123354, _123356] : [-(m1_eqrel_1(_123354, _123350)), m1_eqrel_1(_123356, _123352), _123356 = _123354, _123352 = _123350], (52 ^ _121945) ^ [_123766, _123768] : [-(v1_funct_1(_123766)), _123768 = _123766, v1_funct_1(_123768)], (62 ^ _121945) ^ [_124061, _124063] : [-(v1_relat_1(_124061)), _124063 = _124061, v1_relat_1(_124063)], (72 ^ _121945) ^ [_124356, _124358] : [-(v3_relat_1(_124356)), _124358 = _124356, v3_relat_1(_124358)], (82 ^ _121945) ^ [_124707, _124709, _124711, _124713, _124715, _124717] : [-(m2_relset_1(_124715, _124711, _124707)), m2_relset_1(_124717, _124713, _124709), _124717 = _124715, _124713 = _124711, _124709 = _124707], (100 ^ _121945) ^ [_125316, _125318, _125320, _125322, _125324, _125326] : [-(m1_relset_1(_125324, _125320, _125316)), m1_relset_1(_125326, _125322, _125318), _125326 = _125324, _125322 = _125320, _125318 = _125316], (118 ^ _121945) ^ [_125897, _125899, _125901, _125903] : [-(r1_tarski(_125901, _125897)), r1_tarski(_125903, _125899), _125903 = _125901, _125899 = _125897], (132 ^ _121945) ^ [_126341, _126343, _126345, _126347] : [-(r2_hidden(_126345, _126341)), r2_hidden(_126347, _126343), _126347 = _126345, _126343 = _126341], (146 ^ _121945) ^ [_126757, _126759] : [-(v1_xboole_0(_126757)), _126759 = _126757, v1_xboole_0(_126759)], (156 ^ _121945) ^ [_127060, _127062, _127064, _127066] : [-(m1_subset_1(_127064, _127060)), m1_subset_1(_127066, _127062), _127066 = _127064, _127062 = _127060], (316 ^ _121945) ^ [_133094, _133096] : [r2_hidden(_133096, _133094), r2_hidden(_133094, _133096)], (322 ^ _121945) ^ [_133291] : [v1_xboole_0(_133291), -(v1_relat_1(_133291))], (328 ^ _121945) ^ [_133505, _133507, _133509] : [m1_subset_1(_133505, k1_zfmisc_1(k2_zfmisc_1(_133509, _133507))), -(v1_relat_1(_133505))], (334 ^ _121945) ^ [_133743, _133745, _133747] : [m1_subset_1(_133743, k1_zfmisc_1(_133747)), 337 ^ _121945 : [(338 ^ _121945) ^ [_133914] : [m1_subset_1(_133914, k1_zfmisc_1(k2_zfmisc_1(_133747, _133745))), -(k7_relset_2(_133747, _133745, _133743, _133914) = k8_setfam_1(_133745, k4_relset_2(k1_zfmisc_1(_133747), _133745, k6_relset_2(_133745, _133747, _133914), k3_pua2mss1(_133743))))]]], (344 ^ _121945) ^ [] : [true___, -(true___)], (350 ^ _121945) ^ [] : [true___, -(true___)], (356 ^ _121945) ^ [] : [true___, -(true___)], (362 ^ _121945) ^ [_134527] : [-(m1_eqrel_1(k3_pua2mss1(_134527), _134527))], (364 ^ _121945) ^ [_134664, _134666, _134668, _134670] : [m1_subset_1(_134666, k1_zfmisc_1(k2_zfmisc_1(_134670, k1_zfmisc_1(_134668)))), -(m1_subset_1(k4_relset_2(_134670, _134668, _134666, _134664), k1_zfmisc_1(k1_zfmisc_1(_134668))))], (370 ^ _121945) ^ [_134918, _134920] : [v1_relat_1(_134918), 373 ^ _121945 : [(374 ^ _121945) ^ [] : [-(v1_relat_1(k5_relset_2(_134920, _134918)))], (376 ^ _121945) ^ [] : [-(v1_funct_1(k5_relset_2(_134920, _134918)))]]], (378 ^ _121945) ^ [_135223, _135225, _135227] : [m1_subset_1(_135223, k1_zfmisc_1(k2_zfmisc_1(_135225, _135227))), 381 ^ _121945 : [(382 ^ _121945) ^ [] : [-(v1_funct_1(k6_relset_2(_135227, _135225, _135223)))], (384 ^ _121945) ^ [] : [-(v1_funct_2(k6_relset_2(_135227, _135225, _135223), k1_zfmisc_1(_135225), k1_zfmisc_1(_135227)))], (386 ^ _121945) ^ [] : [-(m2_relset_1(k6_relset_2(_135227, _135225, _135223), k1_zfmisc_1(_135225), k1_zfmisc_1(_135227)))]]], (388 ^ _121945) ^ [] : [true___, -(true___)], (394 ^ _121945) ^ [_135791, _135793, _135795, _135797] : [-(m1_subset_1(k8_relset_2(_135797, _135795, _135793, _135791), k1_zfmisc_1(_135795))), m1_subset_1(_135793, k1_zfmisc_1(_135797)), m1_subset_1(_135791, k1_zfmisc_1(k2_zfmisc_1(_135797, _135795)))], (404 ^ _121945) ^ [_136138, _136140] : [m1_subset_1(_136138, k1_zfmisc_1(k1_zfmisc_1(_136140))), -(m1_subset_1(k8_setfam_1(_136140, _136138), k1_zfmisc_1(_136140)))], (410 ^ _121945) ^ [] : [true___, -(true___)], (416 ^ _121945) ^ [_136485, _136487] : [m1_eqrel_1(_136485, _136487), -(m1_subset_1(_136485, k1_zfmisc_1(k1_zfmisc_1(_136487))))], (422 ^ _121945) ^ [] : [true___, -(true___)], (428 ^ _121945) ^ [] : [true___, -(true___)], (434 ^ _121945) ^ [_136955, _136957, _136959] : [m2_relset_1(_136955, _136959, _136957), -(m1_subset_1(_136955, k1_zfmisc_1(k2_zfmisc_1(_136959, _136957))))], (441 ^ _121945) ^ [_137193] : [-(m1_eqrel_1(439 ^ [_137193], _137193))], (444 ^ _121945) ^ [_137332, _137334] : [-(m1_relset_1(442 ^ [_137332, _137334], _137334, _137332))], (447 ^ _121945) ^ [_137459] : [-(m1_subset_1(445 ^ [_137459], _137459))], (450 ^ _121945) ^ [_137598, _137600] : [-(m2_relset_1(448 ^ [_137598, _137600], _137600, _137598))], (452 ^ _121945) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (454 ^ _121945) ^ [] : [-(v1_relat_1(k1_xboole_0))], (456 ^ _121945) ^ [] : [-(v3_relat_1(k1_xboole_0))], (458 ^ _121945) ^ [_137848] : [v1_xboole_0(k1_zfmisc_1(_137848))], (460 ^ _121945) ^ [_137941, _137943] : [-(v1_relat_1(k2_zfmisc_1(_137943, _137941)))], (462 ^ _121945) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (464 ^ _121945) ^ [] : [-(v1_relat_1(k1_xboole_0))], (466 ^ _121945) ^ [_138160, _138162] : [v1_xboole_0(k2_zfmisc_1(_138162, _138160)), -(v1_xboole_0(_138162)), -(v1_xboole_0(_138160))], (476 ^ _121945) ^ [_138536, _138538, _138540, _138542, _138544, _138546, _138548] : [m1_subset_1(_138542, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_138546, _138544)))), m1_subset_1(_138536, k1_zfmisc_1(_138540)), 483 ^ _121945 : [(484 ^ _121945) ^ [] : [r2_hidden(_138548, a_6_0_relset_2(_138546, _138544, _138542, _138540, _138538, _138536)), 488 ^ _121945 : [(489 ^ _121945) ^ [] : [-(m1_subset_1(487 ^ [_138536, _138538, _138540, _138542, _138544, _138546, _138548], k1_zfmisc_1(k2_zfmisc_1(_138540, _138538))))], (491 ^ _121945) ^ [] : [-(_138548 = k8_relset_2(_138540, _138538, _138536, 487 ^ [_138536, _138538, _138540, _138542, _138544, _138546, _138548]))], (493 ^ _121945) ^ [] : [-(r2_hidden(487 ^ [_138536, _138538, _138540, _138542, _138544, _138546, _138548], _138542))]]], (495 ^ _121945) ^ [] : [-(r2_hidden(_138548, a_6_0_relset_2(_138546, _138544, _138542, _138540, _138538, _138536))), 496 ^ _121945 : [(497 ^ _121945) ^ [_139393] : [m1_subset_1(_139393, k1_zfmisc_1(k2_zfmisc_1(_138540, _138538))), _138548 = k8_relset_2(_138540, _138538, _138536, _139393), r2_hidden(_139393, _138542)]]]]], (510 ^ _121945) ^ [] : [-(v1_xboole_0(508 ^ []))], (512 ^ _121945) ^ [] : [-(v1_relat_1(508 ^ []))], (514 ^ _121945) ^ [_139997] : [-(v1_xboole_0(_139997)), 518 ^ _121945 : [(519 ^ _121945) ^ [] : [-(m1_subset_1(517 ^ [_139997], k1_zfmisc_1(_139997)))], (521 ^ _121945) ^ [] : [v1_xboole_0(517 ^ [_139997])]]], (524 ^ _121945) ^ [_140400, _140402] : [-(m1_relset_1(522 ^ [_140400, _140402], _140402, _140400))], (526 ^ _121945) ^ [_140474, _140476] : [-(v1_relat_1(522 ^ [_140474, _140476]))], (528 ^ _121945) ^ [_140526, _140528] : [-(v1_funct_1(522 ^ [_140526, _140528]))], (531 ^ _121945) ^ [] : [v1_xboole_0(529 ^ [])], (533 ^ _121945) ^ [] : [-(v1_relat_1(529 ^ []))], (536 ^ _121945) ^ [_140832] : [-(m1_subset_1(534 ^ [_140832], k1_zfmisc_1(_140832)))], (538 ^ _121945) ^ [_140883] : [-(v1_xboole_0(534 ^ [_140883]))], (541 ^ _121945) ^ [] : [-(v1_relat_1(539 ^ []))], (543 ^ _121945) ^ [] : [-(v3_relat_1(539 ^ []))], (545 ^ _121945) ^ [_141173, _141175, _141177, _141179] : [m1_subset_1(_141175, k1_zfmisc_1(k2_zfmisc_1(_141179, k1_zfmisc_1(_141177)))), -(k4_relset_2(_141179, _141177, _141175, _141173) = k9_relat_1(_141175, _141173))], (551 ^ _121945) ^ [_141439, _141441, _141443] : [m1_subset_1(_141439, k1_zfmisc_1(k2_zfmisc_1(_141441, _141443))), -(k6_relset_2(_141443, _141441, _141439) = k5_relset_2(_141441, _141439))], (557 ^ _121945) ^ [_141707, _141709, _141711, _141713] : [-(k8_relset_2(_141713, _141711, _141709, _141707) = k7_relset_2(_141713, _141711, _141709, _141707)), m1_subset_1(_141709, k1_zfmisc_1(_141713)), m1_subset_1(_141707, k1_zfmisc_1(k2_zfmisc_1(_141713, _141711)))], (567 ^ _121945) ^ [_142103, _142105, _142107] : [m2_relset_1(_142103, _142107, _142105), -(m1_relset_1(_142103, _142107, _142105))], (573 ^ _121945) ^ [_142275, _142277, _142279] : [m1_relset_1(_142275, _142279, _142277), -(m2_relset_1(_142275, _142279, _142277))], (579 ^ _121945) ^ [_142482, _142484] : [-(r1_tarski(_142484, _142484))], (581 ^ _121945) ^ [_142647, _142649, _142651, _142653, _142655, _142657] : [-(m1_subset_1(a_6_0_relset_2(_142657, _142655, _142653, _142651, _142649, _142647), k1_zfmisc_1(k1_zfmisc_1(_142649)))), m1_subset_1(_142653, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_142657, _142655)))), m1_subset_1(_142647, k1_zfmisc_1(_142651))], (591 ^ _121945) ^ [_143026, _143028] : [r2_hidden(_143028, _143026), -(m1_subset_1(_143028, _143026))], (597 ^ _121945) ^ [_143236, _143238] : [m1_subset_1(_143238, _143236), -(v1_xboole_0(_143236)), -(r2_hidden(_143238, _143236))], (607 ^ _121945) ^ [_143534, _143536] : [-(_143536 = _143534), 611 ^ _121945 : [(612 ^ _121945) ^ [] : [-(r2_hidden(608 ^ [_143534, _143536], _143536))], (614 ^ _121945) ^ [] : [r2_hidden(608 ^ [_143534, _143536], _143534)]], 615 ^ _121945 : [(616 ^ _121945) ^ [] : [-(r2_hidden(608 ^ [_143534, _143536], _143534))], (618 ^ _121945) ^ [] : [r2_hidden(608 ^ [_143534, _143536], _143536)]]], (622 ^ _121945) ^ [_144093, _144095] : [m1_subset_1(_144095, k1_zfmisc_1(_144093)), -(r1_tarski(_144095, _144093))], (628 ^ _121945) ^ [_144259, _144261] : [r1_tarski(_144261, _144259), -(m1_subset_1(_144261, k1_zfmisc_1(_144259)))], (634 ^ _121945) ^ [_144489, _144491, _144493] : [-(m1_subset_1(_144493, _144489)), r2_hidden(_144493, _144491), m1_subset_1(_144491, k1_zfmisc_1(_144489))], (644 ^ _121945) ^ [_144816, _144818, _144820] : [r2_hidden(_144820, _144818), m1_subset_1(_144818, k1_zfmisc_1(_144816)), v1_xboole_0(_144816)], (654 ^ _121945) ^ [_145112] : [v1_xboole_0(_145112), -(_145112 = k1_xboole_0)], (660 ^ _121945) ^ [_145314, _145316] : [r2_hidden(_145316, _145314), v1_xboole_0(_145314)], (666 ^ _121945) ^ [_145501, _145503] : [v1_xboole_0(_145503), -(_145503 = _145501), v1_xboole_0(_145501)]], input).
% 0.33/1.38 ncf('1',plain,[m1_subset_1(a_6_0_relset_2(675 ^ [], 676 ^ [], 677 ^ [], 680 ^ [], 681 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(681 ^ [])))],start(686 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(m1_subset_1(a_6_0_relset_2(675 ^ [], 676 ^ [], 677 ^ [], 680 ^ [], 681 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(681 ^ [])))), m1_subset_1(677 ^ [], k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(675 ^ [], 676 ^ [])))), m1_subset_1(682 ^ [], k1_zfmisc_1(680 ^ []))],extension(581 ^ 1,bind([[_142647, _142649, _142651, _142653, _142655, _142657], [682 ^ [], 681 ^ [], 680 ^ [], 677 ^ [], 676 ^ [], 675 ^ []]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(m1_subset_1(677 ^ [], k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(675 ^ [], 676 ^ [])))))],extension(679 ^ 2)).
% 0.33/1.38 ncf('1.1.2',plain,[-(m1_subset_1(682 ^ [], k1_zfmisc_1(680 ^ [])))],extension(684 ^ 2)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------