TSTP Solution File: SEU357+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 12:03:16 EDT 2023
% Result : Theorem 43.40s 42.75s
% Output : Proof 43.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 13:42:09 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.40/42.75
% 43.40/42.75 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.40/42.75 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.40/42.75 %-----------------------------------------------------
% 43.40/42.75 ncf(matrix, plain, [(265 ^ _62674) ^ [] : [266 ^ _62674 : [(269 ^ _62674) ^ [_63013] : [element(_63013, the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], _63013), 277 ^ _62674 : [(282 ^ _62674) ^ [] : [related(258 ^ [], 276 ^ [_63013], _63013)], (280 ^ _62674) ^ [] : [-(relstr_element_smaller(258 ^ [], 263 ^ [], 276 ^ [_63013]))], (278 ^ _62674) ^ [] : [-(element(276 ^ [_63013], the_carrier(258 ^ [])))]]], (267 ^ _62674) ^ [] : [-(ex_inf_of_relstr_set(258 ^ [], 263 ^ []))]], 284 ^ _62674 : [(285 ^ _62674) ^ [] : [-(element(283 ^ [], the_carrier(258 ^ [])))], (287 ^ _62674) ^ [] : [-(relstr_element_smaller(258 ^ [], 263 ^ [], 283 ^ []))], (289 ^ _62674) ^ [_63690] : [element(_63690, the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], _63690), -(related(258 ^ [], _63690, 283 ^ []))], (299 ^ _62674) ^ [] : [ex_inf_of_relstr_set(258 ^ [], 263 ^ [])]]], (262 ^ _62674) ^ [] : [-(rel_str(258 ^ []))], (260 ^ _62674) ^ [] : [-(antisymmetric_relstr(258 ^ []))], !, (64 ^ _53795) ^ [_55900, _55902, _55904, _55906] : [-(element(_55904, _55900)), element(_55906, _55902), _55906 = _55904, _55902 = _55900], (212 ^ _53795) ^ [] : [true___, -(true___)], (231 ^ _53795) ^ [_61728] : [-(element(229 ^ [_61728], _61728))], (96 ^ _53795) ^ [_56961, _56963, _56965, _56967, _56969, _56971] : [-(related(_56969, _56965, _56961)), related(_56971, _56967, _56963), _56971 = _56969, _56967 = _56965, _56963 = _56961], (20 ^ _53795) ^ [_54543, _54545] : [-(one_sorted_str(_54543)), _54545 = _54543, one_sorted_str(_54545)], (50 ^ _53795) ^ [_55456, _55458, _55460, _55462] : [-(ex_inf_of_relstr_set(_55460, _55456)), ex_inf_of_relstr_set(_55462, _55458), _55462 = _55460, _55458 = _55456], (2 ^ _53795) ^ [_53919] : [-(_53919 = _53919)], (228 ^ _53795) ^ [] : [-(one_sorted_str(226 ^ []))], (218 ^ _53795) ^ [] : [true___, -(true___)], (114 ^ _53795) ^ [_57512, _57514] : [_57514 = _57512, -(the_carrier(_57514) = the_carrier(_57512))], (200 ^ _53795) ^ [_60983] : [rel_str(_60983), -(one_sorted_str(_60983))], (40 ^ _53795) ^ [_55133, _55135] : [-(rel_str(_55133)), _55135 = _55133, rel_str(_55135)], (10 ^ _53795) ^ [_54230, _54232, _54234] : [-(_54234 = _54230), _54234 = _54232, _54232 = _54230], (225 ^ _53795) ^ [] : [-(rel_str(223 ^ []))], (78 ^ _53795) ^ [_56372, _56374, _56376, _56378, _56380, _56382] : [-(relstr_element_smaller(_56380, _56376, _56372)), relstr_element_smaller(_56382, _56378, _56374), _56382 = _56380, _56378 = _56376, _56374 = _56372], (120 ^ _53795) ^ [_57718] : [rel_str(_57718), 123 ^ _53795 : [(124 ^ _53795) ^ [_57972] : [ex_inf_of_relstr_set(_57718, _57972), 128 ^ _53795 : [(131 ^ _53795) ^ [] : [-(relstr_element_smaller(_57718, _57972, 127 ^ [_57718, _57972]))], (133 ^ _53795) ^ [_58497] : [element(_58497, the_carrier(_57718)), relstr_element_smaller(_57718, _57972, _58497), -(related(_57718, _58497, 127 ^ [_57718, _57972]))], (143 ^ _53795) ^ [_58798] : [element(_58798, the_carrier(_57718)), -(_58798 = 127 ^ [_57718, _57972]), relstr_element_smaller(_57718, _57972, _58798), 153 ^ _53795 : [(158 ^ _53795) ^ [] : [related(_57718, 152 ^ [_57718, _57972, _58798], _58798)], (156 ^ _53795) ^ [] : [-(relstr_element_smaller(_57718, _57972, 152 ^ [_57718, _57972, _58798]))], (154 ^ _53795) ^ [] : [-(element(152 ^ [_57718, _57972, _58798], the_carrier(_57718)))]]], (129 ^ _53795) ^ [] : [-(element(127 ^ [_57718, _57972], the_carrier(_57718)))]]], (162 ^ _53795) ^ [_59445] : [-(ex_inf_of_relstr_set(_57718, _59445)), 163 ^ _53795 : [(164 ^ _53795) ^ [_59622] : [element(_59622, the_carrier(_57718)), relstr_element_smaller(_57718, _59445, _59622), 174 ^ _53795 : [(179 ^ _53795) ^ [] : [related(_57718, 173 ^ [_57718, _59445, _59622], _59622)], (177 ^ _53795) ^ [] : [-(relstr_element_smaller(_57718, _59445, 173 ^ [_57718, _59445, _59622]))], (175 ^ _53795) ^ [] : [-(element(173 ^ [_57718, _59445, _59622], the_carrier(_57718)))]], 181 ^ _53795 : [(196 ^ _53795) ^ [] : [180 ^ [_57718, _59445, _59622] = _59622], (184 ^ _53795) ^ [] : [-(relstr_element_smaller(_57718, _59445, 180 ^ [_57718, _59445, _59622]))], (186 ^ _53795) ^ [_60512] : [element(_60512, the_carrier(_57718)), relstr_element_smaller(_57718, _59445, _60512), -(related(_57718, _60512, 180 ^ [_57718, _59445, _59622]))], (182 ^ _53795) ^ [] : [-(element(180 ^ [_57718, _59445, _59622], the_carrier(_57718)))]]]]]]], (233 ^ _53795) ^ [_61806] : [antisymmetric_relstr(_61806), rel_str(_61806), 240 ^ _53795 : [(241 ^ _53795) ^ [_62049] : [element(_62049, the_carrier(_61806)), 244 ^ _53795 : [(245 ^ _53795) ^ [_62208] : [element(_62208, the_carrier(_61806)), -(_62049 = _62208), related(_61806, _62049, _62208), related(_61806, _62208, _62049)]]]]], (206 ^ _53795) ^ [] : [true___, -(true___)], (30 ^ _53795) ^ [_54838, _54840] : [-(antisymmetric_relstr(_54838)), _54840 = _54838, antisymmetric_relstr(_54840)], (4 ^ _53795) ^ [_54026, _54028] : [_54028 = _54026, -(_54026 = _54028)]], input).
% 43.40/42.75 ncf('1',plain,[267 : -(ex_inf_of_relstr_set(258 ^ [], 263 ^ [])), 285 : -(element(283 ^ [], the_carrier(258 ^ [])))],start(265 ^ 0)).
% 43.40/42.75 ncf('1.1',plain,[ex_inf_of_relstr_set(258 ^ [], 263 ^ []), 131 : -(relstr_element_smaller(258 ^ [], 263 ^ [], 127 ^ [258 ^ [], 263 ^ []])), 124 : rel_str(258 ^ [])],extension(120 ^ 3,bind([[_57718, _57972], [258 ^ [], 263 ^ []]]))).
% 43.40/42.75 ncf('1.1.1',plain,[relstr_element_smaller(258 ^ [], 263 ^ [], 127 ^ [258 ^ [], 263 ^ []]), element(127 ^ [258 ^ [], 263 ^ []], the_carrier(258 ^ [])), 282 : related(258 ^ [], 276 ^ [127 ^ [258 ^ [], 263 ^ []]], 127 ^ [258 ^ [], 263 ^ []])],extension(269 ^ 8,bind([[_63013], [127 ^ [258 ^ [], 263 ^ []]]]))).
% 43.40/42.75 ncf('1.1.1.1',plain,[-(element(127 ^ [258 ^ [], 263 ^ []], the_carrier(258 ^ [])))],extension(129 ^ 9)).
% 43.40/42.75 ncf('1.1.1.2',plain,[-(related(258 ^ [], 276 ^ [127 ^ [258 ^ [], 263 ^ []]], 127 ^ [258 ^ [], 263 ^ []])), element(276 ^ [127 ^ [258 ^ [], 263 ^ []]], the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], 276 ^ [127 ^ [258 ^ [], 263 ^ []]])],extension(133 ^ 11,bind([[_58497], [276 ^ [127 ^ [258 ^ [], 263 ^ []]]]]))).
% 43.40/42.75 ncf('1.1.1.2.1',plain,[-(element(276 ^ [127 ^ [258 ^ [], 263 ^ []]], the_carrier(258 ^ [])))],extension(278 ^ 12)).
% 43.40/42.75 ncf('1.1.1.2.2',plain,[-(relstr_element_smaller(258 ^ [], 263 ^ [], 276 ^ [127 ^ [258 ^ [], 263 ^ []]]))],extension(280 ^ 12)).
% 43.40/42.75 ncf('1.1.2',plain,[-(rel_str(258 ^ []))],extension(262 ^ 4)).
% 43.40/42.75 ncf('1.2',plain,[element(283 ^ [], the_carrier(258 ^ [])), 164 : relstr_element_smaller(258 ^ [], 263 ^ [], 283 ^ []), 179 : related(258 ^ [], 173 ^ [258 ^ [], 263 ^ [], 283 ^ []], 283 ^ []), 196 : 180 ^ [258 ^ [], 263 ^ [], 283 ^ []] = 283 ^ [], 164 : -(ex_inf_of_relstr_set(258 ^ [], 263 ^ [])), 162 : rel_str(258 ^ [])],extension(120 ^ 3,bind([[_57718, _59445, _59622], [258 ^ [], 263 ^ [], 283 ^ []]]))).
% 43.40/42.75 ncf('1.2.1',plain,[-(relstr_element_smaller(258 ^ [], 263 ^ [], 283 ^ []))],extension(287 ^ 8)).
% 43.40/42.75 ncf('1.2.2',plain,[-(related(258 ^ [], 173 ^ [258 ^ [], 263 ^ [], 283 ^ []], 283 ^ [])), element(173 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], 173 ^ [258 ^ [], 263 ^ [], 283 ^ []])],extension(289 ^ 10,bind([[_63690], [173 ^ [258 ^ [], 263 ^ [], 283 ^ []]]]))).
% 43.40/42.75 ncf('1.2.2.1',plain,[-(element(173 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])))],extension(175 ^ 11)).
% 43.40/42.75 ncf('1.2.2.2',plain,[-(relstr_element_smaller(258 ^ [], 263 ^ [], 173 ^ [258 ^ [], 263 ^ [], 283 ^ []]))],extension(177 ^ 11)).
% 43.40/42.75 ncf('1.2.3',plain,[-(180 ^ [258 ^ [], 263 ^ [], 283 ^ []] = 283 ^ []), 245 : element(283 ^ [], the_carrier(258 ^ [])), 245 : related(258 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []], 283 ^ []), 245 : related(258 ^ [], 283 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []]), 245 : element(180 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])), 241 : antisymmetric_relstr(258 ^ []), 241 : rel_str(258 ^ [])],extension(233 ^ 10,bind([[_61806, _62049, _62208], [258 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []], 283 ^ []]]))).
% 43.40/42.75 ncf('1.2.3.1',plain,[-(element(283 ^ [], the_carrier(258 ^ [])))],reduction('1')).
% 43.40/42.75 ncf('1.2.3.2',plain,[-(related(258 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []], 283 ^ [])), element(180 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []])],extension(289 ^ 15,bind([[_63690], [180 ^ [258 ^ [], 263 ^ [], 283 ^ []]]]))).
% 43.40/42.75 ncf('1.2.3.2.1',plain,[-(element(180 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])))],extension(182 ^ 16)).
% 43.40/42.75 ncf('1.2.3.2.2',plain,[-(relstr_element_smaller(258 ^ [], 263 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []]))],extension(184 ^ 16)).
% 43.40/42.75 ncf('1.2.3.3',plain,[-(related(258 ^ [], 283 ^ [], 180 ^ [258 ^ [], 263 ^ [], 283 ^ []])), element(283 ^ [], the_carrier(258 ^ [])), relstr_element_smaller(258 ^ [], 263 ^ [], 283 ^ [])],extension(186 ^ 15,bind([[_60512], [283 ^ []]]))).
% 43.40/42.75 ncf('1.2.3.3.1',plain,[-(element(283 ^ [], the_carrier(258 ^ [])))],lemmata('[2, 1].x')).
% 43.40/42.75 ncf('1.2.3.3.2',plain,[-(relstr_element_smaller(258 ^ [], 263 ^ [], 283 ^ []))],lemmata('[1].x')).
% 43.40/42.75 ncf('1.2.3.4',plain,[-(element(180 ^ [258 ^ [], 263 ^ [], 283 ^ []], the_carrier(258 ^ [])))],extension(182 ^ 13)).
% 43.40/42.75 ncf('1.2.3.5',plain,[-(antisymmetric_relstr(258 ^ []))],extension(260 ^ 11)).
% 43.40/42.75 ncf('1.2.3.6',plain,[-(rel_str(258 ^ []))],extension(262 ^ 11)).
% 43.40/42.75 ncf('1.2.4',plain,[ex_inf_of_relstr_set(258 ^ [], 263 ^ [])],extension(299 ^ 6)).
% 43.40/42.75 ncf('1.2.5',plain,[-(rel_str(258 ^ []))],extension(262 ^ 4)).
% 43.40/42.75 %-----------------------------------------------------
% 43.40/42.75 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------