TSTP Solution File: SEU323+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 12:03:08 EDT 2023
% Result : Theorem 0.48s 1.37s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.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 13:37:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.48/1.37
% 0.48/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.48/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 ncf(matrix, plain, [(320 ^ _48538) ^ [] : [-(topological_space(318 ^ []))], (322 ^ _48538) ^ [] : [-(top_str(318 ^ []))], (325 ^ _48538) ^ [] : [-(element(323 ^ [], powerset(the_carrier(318 ^ []))))], (327 ^ _48538) ^ [] : [open_subset(interior(318 ^ [], 323 ^ []), 318 ^ [])], (106 ^ _48538) ^ [_51993, _51995, _51997, _51999] : [-(topstr_closure(_51999, _51995) = topstr_closure(_51997, _51993)), _51999 = _51997, _51995 = _51993], (116 ^ _48538) ^ [_52352, _52354, _52356, _52358] : [-(subset_complement(_52358, _52354) = subset_complement(_52356, _52352)), _52358 = _52356, _52354 = _52352], (126 ^ _48538) ^ [_52683, _52685] : [_52685 = _52683, -(powerset(_52685) = powerset(_52683))], (132 ^ _48538) ^ [_52901, _52903] : [_52903 = _52901, -(the_carrier(_52903) = the_carrier(_52901))], (138 ^ _48538) ^ [_53127, _53129, _53131, _53133] : [-(interior(_53133, _53129) = interior(_53131, _53127)), _53133 = _53131, _53129 = _53127], (2 ^ _48538) ^ [_48682] : [-(_48682 = _48682)], (4 ^ _48538) ^ [_48789, _48791] : [_48791 = _48789, -(_48789 = _48791)], (10 ^ _48538) ^ [_48993, _48995, _48997] : [-(_48997 = _48993), _48997 = _48995, _48995 = _48993], (20 ^ _48538) ^ [_49334, _49336, _49338, _49340] : [-(closed_subset(_49338, _49334)), closed_subset(_49340, _49336), _49340 = _49338, _49336 = _49334], (34 ^ _48538) ^ [_49750, _49752] : [-(one_sorted_str(_49750)), _49752 = _49750, one_sorted_str(_49752)], (44 ^ _48538) ^ [_50073, _50075, _50077, _50079] : [-(subset(_50077, _50073)), subset(_50079, _50075), _50079 = _50077, _50075 = _50073], (58 ^ _48538) ^ [_50489, _50491] : [-(topological_space(_50489)), _50491 = _50489, topological_space(_50491)], (68 ^ _48538) ^ [_50784, _50786] : [-(top_str(_50784)), _50786 = _50784, top_str(_50786)], (78 ^ _48538) ^ [_51107, _51109, _51111, _51113] : [-(element(_51111, _51107)), element(_51113, _51109), _51113 = _51111, _51109 = _51107], (92 ^ _48538) ^ [_51531, _51533, _51535, _51537] : [-(open_subset(_51535, _51531)), open_subset(_51537, _51533), _51537 = _51535, _51533 = _51531], (148 ^ _48538) ^ [_53476, _53478] : [-(open_subset(subset_complement(the_carrier(_53478), _53476), _53478)), topological_space(_53478), top_str(_53478), closed_subset(_53476, _53478), element(_53476, powerset(the_carrier(_53478)))], (166 ^ _48538) ^ [_53953] : [174 ^ _48538 : [(175 ^ _48538) ^ [] : [-(element(173 ^ [_53953], powerset(the_carrier(_53953))))], (177 ^ _48538) ^ [] : [-(closed_subset(173 ^ [_53953], _53953))]], topological_space(_53953), top_str(_53953)], (179 ^ _48538) ^ [_54385, _54387] : [element(_54385, powerset(_54387)), -(subset_complement(_54387, subset_complement(_54387, _54385)) = _54385)], (185 ^ _48538) ^ [_54596, _54598] : [-(subset(_54598, _54598))], (188 ^ _48538) ^ [] : [-(one_sorted_str(186 ^ []))], (190 ^ _48538) ^ [_54794, _54796] : [element(_54794, powerset(_54796)), -(element(subset_complement(_54796, _54794), powerset(_54796)))], (196 ^ _48538) ^ [_55018, _55020] : [-(element(topstr_closure(_55020, _55018), powerset(the_carrier(_55020)))), top_str(_55020), element(_55018, powerset(the_carrier(_55020)))], (206 ^ _48538) ^ [] : [true___, -(true___)], (212 ^ _48538) ^ [_55456, _55458] : [-(closed_subset(topstr_closure(_55458, _55456), _55458)), topological_space(_55458), top_str(_55458), element(_55456, powerset(the_carrier(_55458)))], (226 ^ _48538) ^ [_55854, _55856] : [-(closed_subset(subset_complement(the_carrier(_55856), _55854), _55856)), topological_space(_55856), top_str(_55856), open_subset(_55854, _55856), element(_55854, powerset(the_carrier(_55856)))], (245 ^ _48538) ^ [] : [-(top_str(243 ^ []))], (248 ^ _48538) ^ [_56444] : [-(element(246 ^ [_56444], _56444))], (250 ^ _48538) ^ [_56556, _56558] : [-(element(interior(_56558, _56556), powerset(the_carrier(_56558)))), top_str(_56558), element(_56556, powerset(the_carrier(_56558)))], (260 ^ _48538) ^ [] : [true___, -(true___)], (266 ^ _48538) ^ [_56980] : [top_str(_56980), -(one_sorted_str(_56980))], (272 ^ _48538) ^ [] : [true___, -(true___)], (278 ^ _48538) ^ [] : [true___, -(true___)], (284 ^ _48538) ^ [_57404] : [292 ^ _48538 : [(293 ^ _48538) ^ [] : [-(element(291 ^ [_57404], powerset(the_carrier(_57404))))], (295 ^ _48538) ^ [] : [-(open_subset(291 ^ [_57404], _57404))]], topological_space(_57404), top_str(_57404)], (309 ^ _48538) ^ [_58213] : [top_str(_58213), 312 ^ _48538 : [(313 ^ _48538) ^ [_58364] : [element(_58364, powerset(the_carrier(_58213))), -(interior(_58213, _58364) = subset_complement(the_carrier(_58213), topstr_closure(_58213, subset_complement(the_carrier(_58213), _58364))))]]], (297 ^ _48538) ^ [_57865, _57867] : [element(_57867, powerset(_57865)), -(subset(_57867, _57865))], (303 ^ _48538) ^ [_58031, _58033] : [subset(_58033, _58031), -(element(_58033, powerset(_58031)))]], input).
% 0.48/1.37 ncf('1',plain,[open_subset(interior(318 ^ [], 323 ^ []), 318 ^ [])],start(327 ^ 0)).
% 0.48/1.37 ncf('1.1',plain,[-(open_subset(interior(318 ^ [], 323 ^ []), 318 ^ [])), open_subset(subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), 318 ^ []), subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))) = interior(318 ^ [], 323 ^ []), 318 ^ [] = 318 ^ []],extension(92 ^ 1,bind([[_51531, _51533, _51535, _51537], [318 ^ [], 318 ^ [], interior(318 ^ [], 323 ^ []), subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))]]))).
% 0.48/1.37 ncf('1.1.1',plain,[-(open_subset(subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), 318 ^ [])), topological_space(318 ^ []), top_str(318 ^ []), closed_subset(topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])), 318 ^ []), element(topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])), powerset(the_carrier(318 ^ [])))],extension(148 ^ 2,bind([[_53476, _53478], [topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])), 318 ^ []]]))).
% 0.48/1.37 ncf('1.1.1.1',plain,[-(topological_space(318 ^ []))],extension(320 ^ 3)).
% 0.48/1.37 ncf('1.1.1.2',plain,[-(top_str(318 ^ []))],extension(322 ^ 3)).
% 0.48/1.37 ncf('1.1.1.3',plain,[-(closed_subset(topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])), 318 ^ [])), topological_space(318 ^ []), top_str(318 ^ []), element(subset_complement(the_carrier(318 ^ []), 323 ^ []), powerset(the_carrier(318 ^ [])))],extension(212 ^ 3,bind([[_55456, _55458], [subset_complement(the_carrier(318 ^ []), 323 ^ []), 318 ^ []]]))).
% 0.48/1.37 ncf('1.1.1.3.1',plain,[-(topological_space(318 ^ []))],lemmata('[1, 1].x')).
% 0.48/1.37 ncf('1.1.1.3.2',plain,[-(top_str(318 ^ []))],lemmata('[1, 1].x')).
% 0.48/1.37 ncf('1.1.1.3.3',plain,[-(element(subset_complement(the_carrier(318 ^ []), 323 ^ []), powerset(the_carrier(318 ^ [])))), element(323 ^ [], powerset(the_carrier(318 ^ [])))],extension(190 ^ 4,bind([[_54794, _54796], [323 ^ [], the_carrier(318 ^ [])]]))).
% 0.48/1.37 ncf('1.1.1.3.3.1',plain,[-(element(323 ^ [], powerset(the_carrier(318 ^ []))))],extension(325 ^ 5)).
% 0.48/1.37 ncf('1.1.1.4',plain,[-(element(topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])), powerset(the_carrier(318 ^ [])))), top_str(318 ^ []), element(subset_complement(the_carrier(318 ^ []), 323 ^ []), powerset(the_carrier(318 ^ [])))],extension(196 ^ 3,bind([[_55018, _55020], [subset_complement(the_carrier(318 ^ []), 323 ^ []), 318 ^ []]]))).
% 0.48/1.37 ncf('1.1.1.4.1',plain,[-(top_str(318 ^ []))],lemmata('[1, 1].x')).
% 0.48/1.37 ncf('1.1.1.4.2',plain,[-(element(subset_complement(the_carrier(318 ^ []), 323 ^ []), powerset(the_carrier(318 ^ [])))), element(323 ^ [], powerset(the_carrier(318 ^ [])))],extension(190 ^ 4,bind([[_54794, _54796], [323 ^ [], the_carrier(318 ^ [])]]))).
% 0.48/1.37 ncf('1.1.1.4.2.1',plain,[-(element(323 ^ [], powerset(the_carrier(318 ^ []))))],extension(325 ^ 5)).
% 0.48/1.37 ncf('1.1.2',plain,[-(subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))) = interior(318 ^ [], 323 ^ [])), interior(318 ^ [], 323 ^ []) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))],extension(4 ^ 2,bind([[_48789, _48791], [subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), interior(318 ^ [], 323 ^ [])]]))).
% 0.48/1.37 ncf('1.1.2.1',plain,[-(interior(318 ^ [], 323 ^ []) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))), interior(318 ^ [], 323 ^ []) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))],extension(10 ^ 3,bind([[_48993, _48995, _48997], [subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))), interior(318 ^ [], 323 ^ [])]]))).
% 0.48/1.37 ncf('1.1.2.1.1',plain,[-(interior(318 ^ [], 323 ^ []) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))), 313 : element(323 ^ [], powerset(the_carrier(318 ^ []))), 313 : top_str(318 ^ [])],extension(309 ^ 4,bind([[_58213, _58364], [318 ^ [], 323 ^ []]]))).
% 0.48/1.37 ncf('1.1.2.1.1.1',plain,[-(element(323 ^ [], powerset(the_carrier(318 ^ []))))],extension(325 ^ 7)).
% 0.48/1.37 ncf('1.1.2.1.1.2',plain,[-(top_str(318 ^ []))],extension(322 ^ 5)).
% 0.48/1.37 ncf('1.1.2.1.2',plain,[-(subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))) = subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ []))))],extension(2 ^ 4,bind([[_48682], [subset_complement(the_carrier(318 ^ []), topstr_closure(318 ^ [], subset_complement(the_carrier(318 ^ []), 323 ^ [])))]]))).
% 0.48/1.37 ncf('1.1.3',plain,[-(318 ^ [] = 318 ^ [])],extension(2 ^ 2,bind([[_48682], [318 ^ []]]))).
% 0.48/1.37 %-----------------------------------------------------
% 0.48/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------