TSTP Solution File: SEU429+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 12:03:34 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 13:45:42 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(677 ^ _117289) ^ [] : [v1_xboole_0(675 ^ [])], (681 ^ _117289) ^ [] : [-(m1_subset_1(679 ^ [], k1_zfmisc_1(k1_zfmisc_1(675 ^ []))))], (684 ^ _117289) ^ [] : [-(m2_relset_1(682 ^ [], 675 ^ [], 678 ^ []))], (686 ^ _117289) ^ [] : [m1_subset_1(a_4_1_relset_2(675 ^ [], 678 ^ [], 679 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(678 ^ [])))], (170 ^ _117289) ^ [_122846, _122848] : [_122848 = _122846, -(k3_pua2mss1(_122848) = k3_pua2mss1(_122846))], (176 ^ _117289) ^ [_123092, _123094, _123096, _123098] : [-(k8_setfam_1(_123098, _123094) = k8_setfam_1(_123096, _123092)), _123098 = _123096, _123094 = _123092], (186 ^ _117289) ^ [_123507, _123509, _123511, _123513, _123515, _123517, _123519, _123521] : [-(k4_relset_2(_123521, _123517, _123513, _123509) = k4_relset_2(_123519, _123515, _123511, _123507)), _123521 = _123519, _123517 = _123515, _123513 = _123511, _123509 = _123507], (204 ^ _117289) ^ [_124140, _124142, _124144, _124146] : [-(k9_relat_1(_124146, _124142) = k9_relat_1(_124144, _124140)), _124146 = _124144, _124142 = _124140], (214 ^ _117289) ^ [_124527, _124529, _124531, _124533, _124535, _124537] : [-(k6_relset_2(_124537, _124533, _124529) = k6_relset_2(_124535, _124531, _124527)), _124537 = _124535, _124533 = _124531, _124529 = _124527], (228 ^ _117289) ^ [_125015, _125017, _125019, _125021] : [-(k5_relset_2(_125021, _125017) = k5_relset_2(_125019, _125015)), _125021 = _125019, _125017 = _125015], (238 ^ _117289) ^ [_125374, _125376, _125378, _125380] : [-(k2_zfmisc_1(_125380, _125376) = k2_zfmisc_1(_125378, _125374)), _125380 = _125378, _125376 = _125374], (248 ^ _117289) ^ [_125789, _125791, _125793, _125795, _125797, _125799, _125801, _125803] : [-(k8_relset_2(_125803, _125799, _125795, _125791) = k8_relset_2(_125801, _125797, _125793, _125789)), _125803 = _125801, _125799 = _125797, _125795 = _125793, _125791 = _125789], (266 ^ _117289) ^ [_126478, _126480, _126482, _126484, _126486, _126488, _126490, _126492] : [-(k7_relset_2(_126492, _126488, _126484, _126480) = k7_relset_2(_126490, _126486, _126482, _126478)), _126492 = _126490, _126488 = _126486, _126484 = _126482, _126480 = _126478], (302 ^ _117289) ^ [_127752, _127754] : [_127754 = _127752, -(k1_zfmisc_1(_127754) = k1_zfmisc_1(_127752))], (284 ^ _117289) ^ [_127167, _127169, _127171, _127173, _127175, _127177, _127179, _127181] : [-(a_4_1_relset_2(_127181, _127177, _127173, _127169) = a_4_1_relset_2(_127179, _127175, _127171, _127167)), _127181 = _127179, _127177 = _127175, _127173 = _127171, _127169 = _127167], (2 ^ _117289) ^ [_117433] : [-(_117433 = _117433)], (4 ^ _117289) ^ [_117540, _117542] : [_117542 = _117540, -(_117540 = _117542)], (10 ^ _117289) ^ [_117744, _117746, _117748] : [-(_117748 = _117744), _117748 = _117746, _117746 = _117744], (20 ^ _117289) ^ [_118113, _118115, _118117, _118119, _118121, _118123] : [-(v1_funct_2(_118121, _118117, _118113)), v1_funct_2(_118123, _118119, _118115), _118123 = _118121, _118119 = _118117, _118115 = _118113], (38 ^ _117289) ^ [_118694, _118696, _118698, _118700] : [-(m1_eqrel_1(_118698, _118694)), m1_eqrel_1(_118700, _118696), _118700 = _118698, _118696 = _118694], (52 ^ _117289) ^ [_119110, _119112] : [-(v1_funct_1(_119110)), _119112 = _119110, v1_funct_1(_119112)], (62 ^ _117289) ^ [_119405, _119407] : [-(v1_relat_1(_119405)), _119407 = _119405, v1_relat_1(_119407)], (72 ^ _117289) ^ [_119700, _119702] : [-(v3_relat_1(_119700)), _119702 = _119700, v3_relat_1(_119702)], (82 ^ _117289) ^ [_120051, _120053, _120055, _120057, _120059, _120061] : [-(m1_relset_1(_120059, _120055, _120051)), m1_relset_1(_120061, _120057, _120053), _120061 = _120059, _120057 = _120055, _120053 = _120051], (100 ^ _117289) ^ [_120632, _120634, _120636, _120638] : [-(r1_tarski(_120636, _120632)), r1_tarski(_120638, _120634), _120638 = _120636, _120634 = _120632], (114 ^ _117289) ^ [_121076, _121078, _121080, _121082] : [-(r2_hidden(_121080, _121076)), r2_hidden(_121082, _121078), _121082 = _121080, _121078 = _121076], (128 ^ _117289) ^ [_121492, _121494] : [-(v1_xboole_0(_121492)), _121494 = _121492, v1_xboole_0(_121494)], (156 ^ _117289) ^ [_122404, _122406, _122408, _122410] : [-(m1_subset_1(_122408, _122404)), m1_subset_1(_122410, _122406), _122410 = _122408, _122406 = _122404], (138 ^ _117289) ^ [_121843, _121845, _121847, _121849, _121851, _121853] : [-(m2_relset_1(_121851, _121847, _121843)), m2_relset_1(_121853, _121849, _121845), _121853 = _121851, _121849 = _121847, _121845 = _121843], (308 ^ _117289) ^ [_128044, _128046] : [r2_hidden(_128046, _128044), r2_hidden(_128044, _128046)], (314 ^ _117289) ^ [_128241] : [v1_xboole_0(_128241), -(v1_relat_1(_128241))], (320 ^ _117289) ^ [_128455, _128457, _128459] : [m1_subset_1(_128455, k1_zfmisc_1(k2_zfmisc_1(_128459, _128457))), -(v1_relat_1(_128455))], (326 ^ _117289) ^ [_128693, _128695, _128697] : [m1_subset_1(_128693, k1_zfmisc_1(_128697)), 329 ^ _117289 : [(330 ^ _117289) ^ [_128864] : [m1_subset_1(_128864, k1_zfmisc_1(k2_zfmisc_1(_128697, _128695))), -(k7_relset_2(_128697, _128695, _128693, _128864) = k8_setfam_1(_128695, k4_relset_2(k1_zfmisc_1(_128697), _128695, k6_relset_2(_128695, _128697, _128864), k3_pua2mss1(_128693))))]]], (336 ^ _117289) ^ [] : [true___, -(true___)], (342 ^ _117289) ^ [] : [true___, -(true___)], (348 ^ _117289) ^ [] : [true___, -(true___)], (354 ^ _117289) ^ [_129477] : [-(m1_eqrel_1(k3_pua2mss1(_129477), _129477))], (356 ^ _117289) ^ [_129614, _129616, _129618, _129620] : [m1_subset_1(_129616, k1_zfmisc_1(k2_zfmisc_1(_129620, k1_zfmisc_1(_129618)))), -(m1_subset_1(k4_relset_2(_129620, _129618, _129616, _129614), k1_zfmisc_1(k1_zfmisc_1(_129618))))], (362 ^ _117289) ^ [_129868, _129870] : [v1_relat_1(_129868), 365 ^ _117289 : [(366 ^ _117289) ^ [] : [-(v1_relat_1(k5_relset_2(_129870, _129868)))], (368 ^ _117289) ^ [] : [-(v1_funct_1(k5_relset_2(_129870, _129868)))]]], (370 ^ _117289) ^ [_130173, _130175, _130177] : [m1_subset_1(_130173, k1_zfmisc_1(k2_zfmisc_1(_130175, _130177))), 373 ^ _117289 : [(374 ^ _117289) ^ [] : [-(v1_funct_1(k6_relset_2(_130177, _130175, _130173)))], (376 ^ _117289) ^ [] : [-(v1_funct_2(k6_relset_2(_130177, _130175, _130173), k1_zfmisc_1(_130175), k1_zfmisc_1(_130177)))], (378 ^ _117289) ^ [] : [-(m2_relset_1(k6_relset_2(_130177, _130175, _130173), k1_zfmisc_1(_130175), k1_zfmisc_1(_130177)))]]], (380 ^ _117289) ^ [] : [true___, -(true___)], (386 ^ _117289) ^ [_130741, _130743, _130745, _130747] : [-(m1_subset_1(k8_relset_2(_130747, _130745, _130743, _130741), k1_zfmisc_1(_130745))), m1_subset_1(_130743, k1_zfmisc_1(_130747)), m1_subset_1(_130741, k1_zfmisc_1(k2_zfmisc_1(_130747, _130745)))], (396 ^ _117289) ^ [_131088, _131090] : [m1_subset_1(_131088, k1_zfmisc_1(k1_zfmisc_1(_131090))), -(m1_subset_1(k8_setfam_1(_131090, _131088), k1_zfmisc_1(_131090)))], (402 ^ _117289) ^ [] : [true___, -(true___)], (408 ^ _117289) ^ [_131435, _131437] : [m1_eqrel_1(_131435, _131437), -(m1_subset_1(_131435, k1_zfmisc_1(k1_zfmisc_1(_131437))))], (414 ^ _117289) ^ [] : [true___, -(true___)], (420 ^ _117289) ^ [] : [true___, -(true___)], (426 ^ _117289) ^ [_131905, _131907, _131909] : [m2_relset_1(_131905, _131909, _131907), -(m1_subset_1(_131905, k1_zfmisc_1(k2_zfmisc_1(_131909, _131907))))], (433 ^ _117289) ^ [_132143] : [-(m1_eqrel_1(431 ^ [_132143], _132143))], (436 ^ _117289) ^ [_132282, _132284] : [-(m1_relset_1(434 ^ [_132282, _132284], _132284, _132282))], (439 ^ _117289) ^ [_132409] : [-(m1_subset_1(437 ^ [_132409], _132409))], (442 ^ _117289) ^ [_132548, _132550] : [-(m2_relset_1(440 ^ [_132548, _132550], _132550, _132548))], (444 ^ _117289) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (446 ^ _117289) ^ [] : [-(v1_relat_1(k1_xboole_0))], (448 ^ _117289) ^ [] : [-(v3_relat_1(k1_xboole_0))], (450 ^ _117289) ^ [_132798] : [v1_xboole_0(k1_zfmisc_1(_132798))], (452 ^ _117289) ^ [_132891, _132893] : [-(v1_relat_1(k2_zfmisc_1(_132893, _132891)))], (454 ^ _117289) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (456 ^ _117289) ^ [] : [-(v1_relat_1(k1_xboole_0))], (458 ^ _117289) ^ [_133110, _133112] : [v1_xboole_0(k2_zfmisc_1(_133112, _133110)), -(v1_xboole_0(_133112)), -(v1_xboole_0(_133110))], (468 ^ _117289) ^ [_133458, _133460, _133462, _133464, _133466] : [-(v1_xboole_0(_133464)), m1_subset_1(_133460, k1_zfmisc_1(k1_zfmisc_1(_133464))), m2_relset_1(_133458, _133464, _133462), 479 ^ _117289 : [(480 ^ _117289) ^ [] : [r2_hidden(_133466, a_4_1_relset_2(_133464, _133462, _133460, _133458)), 484 ^ _117289 : [(485 ^ _117289) ^ [] : [-(m1_subset_1(483 ^ [_133458, _133460, _133462, _133464, _133466], k1_zfmisc_1(_133464)))], (487 ^ _117289) ^ [] : [-(_133466 = k8_relset_2(_133464, _133462, 483 ^ [_133458, _133460, _133462, _133464, _133466], _133458))], (489 ^ _117289) ^ [] : [-(r2_hidden(483 ^ [_133458, _133460, _133462, _133464, _133466], _133460))]]], (491 ^ _117289) ^ [] : [-(r2_hidden(_133466, a_4_1_relset_2(_133464, _133462, _133460, _133458))), 492 ^ _117289 : [(493 ^ _117289) ^ [_134336] : [m1_subset_1(_134336, k1_zfmisc_1(_133464)), _133466 = k8_relset_2(_133464, _133462, _134336, _133458), r2_hidden(_134336, _133460)]]]]], (506 ^ _117289) ^ [] : [-(v1_xboole_0(504 ^ []))], (508 ^ _117289) ^ [] : [-(v1_relat_1(504 ^ []))], (510 ^ _117289) ^ [_134906] : [-(v1_xboole_0(_134906)), 514 ^ _117289 : [(515 ^ _117289) ^ [] : [-(m1_subset_1(513 ^ [_134906], k1_zfmisc_1(_134906)))], (517 ^ _117289) ^ [] : [v1_xboole_0(513 ^ [_134906])]]], (520 ^ _117289) ^ [_135309, _135311] : [-(m1_relset_1(518 ^ [_135309, _135311], _135311, _135309))], (522 ^ _117289) ^ [_135383, _135385] : [-(v1_relat_1(518 ^ [_135383, _135385]))], (524 ^ _117289) ^ [_135435, _135437] : [-(v1_funct_1(518 ^ [_135435, _135437]))], (527 ^ _117289) ^ [] : [v1_xboole_0(525 ^ [])], (529 ^ _117289) ^ [] : [-(v1_relat_1(525 ^ []))], (532 ^ _117289) ^ [_135741] : [-(m1_subset_1(530 ^ [_135741], k1_zfmisc_1(_135741)))], (534 ^ _117289) ^ [_135792] : [-(v1_xboole_0(530 ^ [_135792]))], (537 ^ _117289) ^ [] : [-(v1_relat_1(535 ^ []))], (539 ^ _117289) ^ [] : [-(v3_relat_1(535 ^ []))], (541 ^ _117289) ^ [_136082, _136084, _136086, _136088] : [m1_subset_1(_136084, k1_zfmisc_1(k2_zfmisc_1(_136088, k1_zfmisc_1(_136086)))), -(k4_relset_2(_136088, _136086, _136084, _136082) = k9_relat_1(_136084, _136082))], (547 ^ _117289) ^ [_136348, _136350, _136352] : [m1_subset_1(_136348, k1_zfmisc_1(k2_zfmisc_1(_136350, _136352))), -(k6_relset_2(_136352, _136350, _136348) = k5_relset_2(_136350, _136348))], (553 ^ _117289) ^ [_136616, _136618, _136620, _136622] : [-(k8_relset_2(_136622, _136620, _136618, _136616) = k7_relset_2(_136622, _136620, _136618, _136616)), m1_subset_1(_136618, k1_zfmisc_1(_136622)), m1_subset_1(_136616, k1_zfmisc_1(k2_zfmisc_1(_136622, _136620)))], (563 ^ _117289) ^ [_137012, _137014, _137016] : [m2_relset_1(_137012, _137016, _137014), -(m1_relset_1(_137012, _137016, _137014))], (569 ^ _117289) ^ [_137184, _137186, _137188] : [m1_relset_1(_137184, _137188, _137186), -(m2_relset_1(_137184, _137188, _137186))], (575 ^ _117289) ^ [_137391, _137393] : [-(r1_tarski(_137393, _137393))], (577 ^ _117289) ^ [_137528, _137530, _137532, _137534] : [-(m1_subset_1(a_4_1_relset_2(_137534, _137532, _137530, _137528), k1_zfmisc_1(k1_zfmisc_1(_137532)))), -(v1_xboole_0(_137534)), m1_subset_1(_137530, k1_zfmisc_1(k1_zfmisc_1(_137534))), m2_relset_1(_137528, _137534, _137532)], (591 ^ _117289) ^ [_137973, _137975] : [r2_hidden(_137975, _137973), -(m1_subset_1(_137975, _137973))], (597 ^ _117289) ^ [_138183, _138185] : [m1_subset_1(_138185, _138183), -(v1_xboole_0(_138183)), -(r2_hidden(_138185, _138183))], (607 ^ _117289) ^ [_138481, _138483] : [-(_138483 = _138481), 611 ^ _117289 : [(612 ^ _117289) ^ [] : [-(r2_hidden(608 ^ [_138481, _138483], _138483))], (614 ^ _117289) ^ [] : [r2_hidden(608 ^ [_138481, _138483], _138481)]], 615 ^ _117289 : [(616 ^ _117289) ^ [] : [-(r2_hidden(608 ^ [_138481, _138483], _138481))], (618 ^ _117289) ^ [] : [r2_hidden(608 ^ [_138481, _138483], _138483)]]], (622 ^ _117289) ^ [_139040, _139042] : [m1_subset_1(_139042, k1_zfmisc_1(_139040)), -(r1_tarski(_139042, _139040))], (628 ^ _117289) ^ [_139206, _139208] : [r1_tarski(_139208, _139206), -(m1_subset_1(_139208, k1_zfmisc_1(_139206)))], (634 ^ _117289) ^ [_139436, _139438, _139440] : [-(m1_subset_1(_139440, _139436)), r2_hidden(_139440, _139438), m1_subset_1(_139438, k1_zfmisc_1(_139436))], (644 ^ _117289) ^ [_139763, _139765, _139767] : [r2_hidden(_139767, _139765), m1_subset_1(_139765, k1_zfmisc_1(_139763)), v1_xboole_0(_139763)], (654 ^ _117289) ^ [_140059] : [v1_xboole_0(_140059), -(_140059 = k1_xboole_0)], (660 ^ _117289) ^ [_140261, _140263] : [r2_hidden(_140263, _140261), v1_xboole_0(_140261)], (666 ^ _117289) ^ [_140448, _140450] : [v1_xboole_0(_140450), -(_140450 = _140448), v1_xboole_0(_140448)]], input).
% 0.34/1.37 ncf('1',plain,[v1_xboole_0(675 ^ [])],start(677 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(v1_xboole_0(675 ^ [])), -(m1_subset_1(a_4_1_relset_2(675 ^ [], 678 ^ [], 679 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(678 ^ [])))), m1_subset_1(679 ^ [], k1_zfmisc_1(k1_zfmisc_1(675 ^ []))), m2_relset_1(682 ^ [], 675 ^ [], 678 ^ [])],extension(577 ^ 1,bind([[_137528, _137530, _137532, _137534], [682 ^ [], 679 ^ [], 678 ^ [], 675 ^ []]]))).
% 0.34/1.37 ncf('1.1.1',plain,[m1_subset_1(a_4_1_relset_2(675 ^ [], 678 ^ [], 679 ^ [], 682 ^ []), k1_zfmisc_1(k1_zfmisc_1(678 ^ [])))],extension(686 ^ 2)).
% 0.34/1.37 ncf('1.1.2',plain,[-(m1_subset_1(679 ^ [], k1_zfmisc_1(k1_zfmisc_1(675 ^ []))))],extension(681 ^ 2)).
% 0.34/1.37 ncf('1.1.3',plain,[-(m2_relset_1(682 ^ [], 675 ^ [], 678 ^ []))],extension(684 ^ 2)).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------