TSTP Solution File: GEO223+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO223+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:12:17 EDT 2023
% Result : Theorem 101.84s 98.81s
% Output : Proof 101.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO223+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n025.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 : Fri May 19 04:31:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 101.84/98.81
% 101.84/98.81 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.84/98.81 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.84/98.81 %-----------------------------------------------------
% 101.84/98.81 ncf(matrix, plain, [(176 ^ _32029) ^ [] : [-(distinct_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ [])))], (110 ^ _32029) ^ [_35683, _35685] : [convergent_lines(parallel_through_point(_35683, _35685), _35683)], (112 ^ _32029) ^ [_35779, _35781] : [apart_point_and_line(_35781, parallel_through_point(_35779, _35781))], (114 ^ _32029) ^ [_35885, _35887, _35889] : [distinct_lines(_35887, _35885), -(apart_point_and_line(_35889, _35887)), -(apart_point_and_line(_35889, _35885)), -(convergent_lines(_35887, _35885))], (128 ^ _32029) ^ [_36293, _36295] : [-(convergent_lines(_36295, _36293)), -(unorthogonal_lines(_36295, _36293))], (134 ^ _32029) ^ [_36518, _36520, _36522] : [convergent_lines(_36522, _36520), unorthogonal_lines(_36522, _36520), 143 ^ _32029 : [(144 ^ _32029) ^ [] : [-(convergent_lines(_36522, _36518))], (146 ^ _32029) ^ [] : [-(unorthogonal_lines(_36522, _36518))]], 147 ^ _32029 : [(148 ^ _32029) ^ [] : [-(convergent_lines(_36520, _36518))], (150 ^ _32029) ^ [] : [-(unorthogonal_lines(_36520, _36518))]]], (152 ^ _32029) ^ [_37061, _37063] : [unorthogonal_lines(orthogonal_through_point(_37061, _37063), _37061)], (154 ^ _32029) ^ [_37157, _37159] : [apart_point_and_line(_37159, orthogonal_through_point(_37157, _37159))], (156 ^ _32029) ^ [_37277, _37279, _37281, _37283] : [distinct_lines(_37281, _37279), -(apart_point_and_line(_37283, _37281)), -(apart_point_and_line(_37283, _37279)), -(unorthogonal_lines(_37281, _37277)), -(unorthogonal_lines(_37279, _37277))], (2 ^ _32029) ^ [_32132] : [distinct_points(_32132, _32132)], (4 ^ _32029) ^ [_32209] : [distinct_lines(_32209, _32209)], (6 ^ _32029) ^ [_32286] : [convergent_lines(_32286, _32286)], (8 ^ _32029) ^ [_32407, _32409, _32411] : [distinct_points(_32411, _32409), -(distinct_points(_32411, _32407)), -(distinct_points(_32409, _32407))], (18 ^ _32029) ^ [_32731, _32733, _32735] : [distinct_lines(_32735, _32733), -(distinct_lines(_32735, _32731)), -(distinct_lines(_32733, _32731))], (28 ^ _32029) ^ [_33055, _33057, _33059] : [convergent_lines(_33059, _33057), -(convergent_lines(_33059, _33055)), -(convergent_lines(_33057, _33055))], (38 ^ _32029) ^ [_33379, _33381, _33383] : [distinct_points(_33383, _33381), apart_point_and_line(_33379, line_connecting(_33383, _33381)), 45 ^ _32029 : [(46 ^ _32029) ^ [] : [-(distinct_points(_33379, _33383))], (48 ^ _32029) ^ [] : [-(distinct_points(_33379, _33381))]]], (50 ^ _32029) ^ [_33785, _33787, _33789] : [convergent_lines(_33789, _33787), 55 ^ _32029 : [(56 ^ _32029) ^ [] : [apart_point_and_line(_33785, _33789)], (58 ^ _32029) ^ [] : [apart_point_and_line(_33785, _33787)]], -(distinct_points(_33785, intersection_point(_33789, _33787)))], (62 ^ _32029) ^ [_34204, _34206, _34208, _34210] : [distinct_points(_34210, _34208), distinct_lines(_34206, _34204), -(apart_point_and_line(_34210, _34206)), -(apart_point_and_line(_34210, _34204)), -(apart_point_and_line(_34208, _34206)), -(apart_point_and_line(_34208, _34204))], (84 ^ _32029) ^ [_34833, _34835, _34837] : [apart_point_and_line(_34837, _34835), -(distinct_points(_34837, _34833)), -(apart_point_and_line(_34833, _34835))], (104 ^ _32029) ^ [_35447, _35449] : [convergent_lines(_35449, _35447), -(distinct_lines(_35449, _35447))], (94 ^ _32029) ^ [_35157, _35159, _35161] : [apart_point_and_line(_35161, _35159), -(distinct_lines(_35159, _35157)), -(apart_point_and_line(_35161, _35157))]], input).
% 101.84/98.81 ncf('1',plain,[convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), 174 ^ [])],start(110 ^ 0,bind([[_35683, _35685], [174 ^ [], 173 ^ []]]))).
% 101.84/98.81 ncf('1.1',plain,[-(convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), 174 ^ [])), convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])), unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])), 146 : -(unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ []))],extension(134 ^ 1,bind([[_36518, _36520, _36522], [174 ^ [], parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.1',plain,[-(convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []))), convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ []), -(convergent_lines(174 ^ [], parallel_through_point(174 ^ [], 173 ^ [])))],extension(28 ^ 2,bind([[_33055, _33057, _33059], [parallel_through_point(174 ^ [], 173 ^ []), 174 ^ [], orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.1.1',plain,[-(convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ [])), -(unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ []))],extension(128 ^ 3,bind([[_36293, _36295], [174 ^ [], orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ [])],extension(152 ^ 4,bind([[_37061, _37063], [174 ^ [], 173 ^ []]]))).
% 101.84/98.81 ncf('1.1.1.2',plain,[convergent_lines(174 ^ [], parallel_through_point(174 ^ [], 173 ^ [])), -(convergent_lines(174 ^ [], 174 ^ [])), -(convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), 174 ^ []))],extension(28 ^ 3,bind([[_33055, _33057, _33059], [174 ^ [], parallel_through_point(174 ^ [], 173 ^ []), 174 ^ []]]))).
% 101.84/98.81 ncf('1.1.1.2.1',plain,[convergent_lines(174 ^ [], 174 ^ [])],extension(6 ^ 4,bind([[_32286], [174 ^ []]]))).
% 101.84/98.81 ncf('1.1.1.2.2',plain,[convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), 174 ^ [])],reduction('1')).
% 101.84/98.81 ncf('1.1.2',plain,[-(unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []))), convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])), unorthogonal_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])), 144 : -(convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])))],extension(134 ^ 2,bind([[_36518, _36520, _36522], [parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.2.1',plain,[-(convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ []))), convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])), -(convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])))],extension(28 ^ 3,bind([[_33055, _33057, _33059], [orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.2.1.1',plain,[-(convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []))), -(unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ [])))],extension(128 ^ 4,bind([[_36293, _36295], [parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.2.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []))],reduction('1.1')).
% 101.84/98.81 ncf('1.1.2.1.2',plain,[convergent_lines(orthogonal_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ []))],extension(6 ^ 4,bind([[_32286], [orthogonal_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.2.2',plain,[-(unorthogonal_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ []))), distinct_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ [])), -(apart_point_and_line(173 ^ [], parallel_through_point(174 ^ [], 173 ^ []))), -(apart_point_and_line(173 ^ [], orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []))), -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ [])))],extension(156 ^ 3,bind([[_37277, _37279, _37281, _37283], [orthogonal_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []), 173 ^ []]]))).
% 101.84/98.81 ncf('1.1.2.2.1',plain,[-(distinct_lines(parallel_through_point(174 ^ [], 173 ^ []), orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ [])))],extension(176 ^ 4)).
% 101.84/98.81 ncf('1.1.2.2.2',plain,[apart_point_and_line(173 ^ [], parallel_through_point(174 ^ [], 173 ^ []))],extension(112 ^ 4,bind([[_35779, _35781], [174 ^ [], 173 ^ []]]))).
% 101.84/98.81 ncf('1.1.2.2.3',plain,[apart_point_and_line(173 ^ [], orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []))],extension(154 ^ 4,bind([[_37157, _37159], [orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []]]))).
% 101.84/98.81 ncf('1.1.2.2.4',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []), orthogonal_through_point(174 ^ [], 173 ^ []))],extension(152 ^ 4,bind([[_37061, _37063], [orthogonal_through_point(174 ^ [], 173 ^ []), 173 ^ []]]))).
% 101.84/98.81 ncf('1.1.2.3',plain,[convergent_lines(parallel_through_point(174 ^ [], 173 ^ []), parallel_through_point(174 ^ [], 173 ^ []))],extension(6 ^ 5,bind([[_32286], [parallel_through_point(174 ^ [], 173 ^ [])]]))).
% 101.84/98.81 ncf('1.1.3',plain,[unorthogonal_lines(orthogonal_through_point(174 ^ [], 173 ^ []), 174 ^ [])],extension(152 ^ 4,bind([[_37061, _37063], [174 ^ [], 173 ^ []]]))).
% 101.84/98.81 %-----------------------------------------------------
% 101.84/98.81 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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