TSTP Solution File: GEO214+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO214+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 11:12:15 EDT 2023
% Result : Theorem 0.38s 1.38s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO214+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 03:57:35 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.38/1.38
% 0.38/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 ncf(matrix, plain, [(176 ^ _30357) ^ [] : [-(unorthogonal_lines(173 ^ [], 174 ^ []))], (178 ^ _30357) ^ [] : [unorthogonal_lines(174 ^ [], 173 ^ [])], (110 ^ _30357) ^ [_34011, _34013] : [convergent_lines(parallel_through_point(_34011, _34013), _34011)], (112 ^ _30357) ^ [_34107, _34109] : [apart_point_and_line(_34109, parallel_through_point(_34107, _34109))], (114 ^ _30357) ^ [_34213, _34215, _34217] : [distinct_lines(_34215, _34213), -(apart_point_and_line(_34217, _34215)), -(apart_point_and_line(_34217, _34213)), -(convergent_lines(_34215, _34213))], (128 ^ _30357) ^ [_34621, _34623] : [-(convergent_lines(_34623, _34621)), -(unorthogonal_lines(_34623, _34621))], (134 ^ _30357) ^ [_34846, _34848, _34850] : [convergent_lines(_34850, _34848), unorthogonal_lines(_34850, _34848), 143 ^ _30357 : [(144 ^ _30357) ^ [] : [-(convergent_lines(_34850, _34846))], (146 ^ _30357) ^ [] : [-(unorthogonal_lines(_34850, _34846))]], 147 ^ _30357 : [(148 ^ _30357) ^ [] : [-(convergent_lines(_34848, _34846))], (150 ^ _30357) ^ [] : [-(unorthogonal_lines(_34848, _34846))]]], (152 ^ _30357) ^ [_35389, _35391] : [unorthogonal_lines(orthogonal_through_point(_35389, _35391), _35389)], (154 ^ _30357) ^ [_35485, _35487] : [apart_point_and_line(_35487, orthogonal_through_point(_35485, _35487))], (156 ^ _30357) ^ [_35605, _35607, _35609, _35611] : [distinct_lines(_35609, _35607), -(apart_point_and_line(_35611, _35609)), -(apart_point_and_line(_35611, _35607)), -(unorthogonal_lines(_35609, _35605)), -(unorthogonal_lines(_35607, _35605))], (2 ^ _30357) ^ [_30460] : [distinct_points(_30460, _30460)], (4 ^ _30357) ^ [_30537] : [distinct_lines(_30537, _30537)], (6 ^ _30357) ^ [_30614] : [convergent_lines(_30614, _30614)], (8 ^ _30357) ^ [_30735, _30737, _30739] : [distinct_points(_30739, _30737), -(distinct_points(_30739, _30735)), -(distinct_points(_30737, _30735))], (18 ^ _30357) ^ [_31059, _31061, _31063] : [distinct_lines(_31063, _31061), -(distinct_lines(_31063, _31059)), -(distinct_lines(_31061, _31059))], (28 ^ _30357) ^ [_31383, _31385, _31387] : [convergent_lines(_31387, _31385), -(convergent_lines(_31387, _31383)), -(convergent_lines(_31385, _31383))], (38 ^ _30357) ^ [_31707, _31709, _31711] : [distinct_points(_31711, _31709), apart_point_and_line(_31707, line_connecting(_31711, _31709)), 45 ^ _30357 : [(46 ^ _30357) ^ [] : [-(distinct_points(_31707, _31711))], (48 ^ _30357) ^ [] : [-(distinct_points(_31707, _31709))]]], (50 ^ _30357) ^ [_32113, _32115, _32117] : [convergent_lines(_32117, _32115), 55 ^ _30357 : [(56 ^ _30357) ^ [] : [apart_point_and_line(_32113, _32117)], (58 ^ _30357) ^ [] : [apart_point_and_line(_32113, _32115)]], -(distinct_points(_32113, intersection_point(_32117, _32115)))], (62 ^ _30357) ^ [_32532, _32534, _32536, _32538] : [distinct_points(_32538, _32536), distinct_lines(_32534, _32532), -(apart_point_and_line(_32538, _32534)), -(apart_point_and_line(_32538, _32532)), -(apart_point_and_line(_32536, _32534)), -(apart_point_and_line(_32536, _32532))], (84 ^ _30357) ^ [_33161, _33163, _33165] : [apart_point_and_line(_33165, _33163), -(distinct_points(_33165, _33161)), -(apart_point_and_line(_33161, _33163))], (104 ^ _30357) ^ [_33775, _33777] : [convergent_lines(_33777, _33775), -(distinct_lines(_33777, _33775))], (94 ^ _30357) ^ [_33485, _33487, _33489] : [apart_point_and_line(_33489, _33487), -(distinct_lines(_33487, _33485)), -(apart_point_and_line(_33489, _33485))]], input).
% 0.38/1.38 ncf('1',plain,[convergent_lines(174 ^ [], 174 ^ [])],start(6 ^ 0,bind([[_30614], [174 ^ []]]))).
% 0.38/1.38 ncf('1.1',plain,[-(convergent_lines(174 ^ [], 174 ^ [])), convergent_lines(174 ^ [], 173 ^ []), -(convergent_lines(173 ^ [], 174 ^ []))],extension(28 ^ 1,bind([[_31383, _31385, _31387], [174 ^ [], 173 ^ [], 174 ^ []]]))).
% 0.38/1.38 ncf('1.1.1',plain,[-(convergent_lines(174 ^ [], 173 ^ [])), -(unorthogonal_lines(174 ^ [], 173 ^ []))],extension(128 ^ 2,bind([[_34621, _34623], [173 ^ [], 174 ^ []]]))).
% 0.38/1.38 ncf('1.1.1.1',plain,[unorthogonal_lines(174 ^ [], 173 ^ [])],extension(178 ^ 3)).
% 0.38/1.38 ncf('1.1.2',plain,[convergent_lines(173 ^ [], 174 ^ []), unorthogonal_lines(173 ^ [], 174 ^ []), 144 : -(convergent_lines(173 ^ [], 173 ^ [])), 150 : -(unorthogonal_lines(174 ^ [], 173 ^ []))],extension(134 ^ 2,bind([[_34846, _34848, _34850], [173 ^ [], 174 ^ [], 173 ^ []]]))).
% 0.38/1.38 ncf('1.1.2.1',plain,[-(unorthogonal_lines(173 ^ [], 174 ^ []))],extension(176 ^ 3)).
% 0.38/1.38 ncf('1.1.2.2',plain,[convergent_lines(173 ^ [], 173 ^ [])],extension(6 ^ 5,bind([[_30614], [173 ^ []]]))).
% 0.38/1.38 ncf('1.1.2.3',plain,[unorthogonal_lines(174 ^ [], 173 ^ [])],extension(178 ^ 5)).
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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