%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO209+2 : 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 11:12:13 EDT 2023
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO209+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 19 03:54:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.35/1.41
% 0.35/1.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 ncf(matrix, plain, [(132 ^ _25001) ^ [] : [-(apart_point_and_line(127 ^ [], 128 ^ []))], (134 ^ _25001) ^ [] : [apart_point_and_line(127 ^ [], 129 ^ [])], (136 ^ _25001) ^ [] : [apart_point_and_line(127 ^ [], 130 ^ [])], (138 ^ _25001) ^ [] : [convergent_lines(129 ^ [], 128 ^ [])], (140 ^ _25001) ^ [] : [convergent_lines(130 ^ [], 128 ^ [])], (142 ^ _25001) ^ [] : [-(distinct_lines(129 ^ [], 130 ^ []))], (110 ^ _25001) ^ [_28635, _28637] : [convergent_lines(parallel_through_point(_28635, _28637), _28635)], (112 ^ _25001) ^ [_28731, _28733] : [apart_point_and_line(_28733, parallel_through_point(_28731, _28733))], (114 ^ _25001) ^ [_28837, _28839, _28841] : [distinct_lines(_28839, _28837), -(apart_point_and_line(_28841, _28839)), -(apart_point_and_line(_28841, _28837)), -(convergent_lines(_28839, _28837))], (2 ^ _25001) ^ [_25104] : [distinct_points(_25104, _25104)], (4 ^ _25001) ^ [_25181] : [distinct_lines(_25181, _25181)], (6 ^ _25001) ^ [_25258] : [convergent_lines(_25258, _25258)], (8 ^ _25001) ^ [_25379, _25381, _25383] : [distinct_points(_25383, _25381), -(distinct_points(_25383, _25379)), -(distinct_points(_25381, _25379))], (18 ^ _25001) ^ [_25703, _25705, _25707] : [distinct_lines(_25707, _25705), -(distinct_lines(_25707, _25703)), -(distinct_lines(_25705, _25703))], (28 ^ _25001) ^ [_26027, _26029, _26031] : [convergent_lines(_26031, _26029), -(convergent_lines(_26031, _26027)), -(convergent_lines(_26029, _26027))], (38 ^ _25001) ^ [_26351, _26353, _26355] : [distinct_points(_26355, _26353), apart_point_and_line(_26351, line_connecting(_26355, _26353)), 45 ^ _25001 : [(46 ^ _25001) ^ [] : [-(distinct_points(_26351, _26355))], (48 ^ _25001) ^ [] : [-(distinct_points(_26351, _26353))]]], (50 ^ _25001) ^ [_26757, _26759, _26761] : [convergent_lines(_26761, _26759), 55 ^ _25001 : [(56 ^ _25001) ^ [] : [apart_point_and_line(_26757, _26761)], (58 ^ _25001) ^ [] : [apart_point_and_line(_26757, _26759)]], -(distinct_points(_26757, intersection_point(_26761, _26759)))], (62 ^ _25001) ^ [_27176, _27178, _27180, _27182] : [distinct_points(_27182, _27180), distinct_lines(_27178, _27176), -(apart_point_and_line(_27182, _27178)), -(apart_point_and_line(_27182, _27176)), -(apart_point_and_line(_27180, _27178)), -(apart_point_and_line(_27180, _27176))], (84 ^ _25001) ^ [_27805, _27807, _27809] : [apart_point_and_line(_27809, _27807), -(distinct_points(_27809, _27805)), -(apart_point_and_line(_27805, _27807))], (104 ^ _25001) ^ [_28419, _28421] : [convergent_lines(_28421, _28419), -(distinct_lines(_28421, _28419))], (94 ^ _25001) ^ [_28129, _28131, _28133] : [apart_point_and_line(_28133, _28131), -(distinct_lines(_28131, _28129)), -(apart_point_and_line(_28133, _28129))]], input).
% 0.35/1.41 ncf('1',plain,[apart_point_and_line(127 ^ [], 129 ^ [])],start(134 ^ 0)).
% 0.35/1.41 ncf('1.1',plain,[-(apart_point_and_line(127 ^ [], 129 ^ [])), distinct_lines(129 ^ [], 130 ^ []), -(apart_point_and_line(127 ^ [], 130 ^ [])), -(convergent_lines(129 ^ [], 130 ^ []))],extension(114 ^ 1,bind([[_28837, _28839, _28841], [130 ^ [], 129 ^ [], 127 ^ []]]))).
% 0.35/1.41 ncf('1.1.1',plain,[-(distinct_lines(129 ^ [], 130 ^ []))],extension(142 ^ 2)).
% 0.35/1.41 ncf('1.1.2',plain,[apart_point_and_line(127 ^ [], 130 ^ [])],extension(136 ^ 2)).
% 0.35/1.41 ncf('1.1.3',plain,[convergent_lines(129 ^ [], 130 ^ []), -(convergent_lines(129 ^ [], 128 ^ [])), -(convergent_lines(130 ^ [], 128 ^ []))],extension(28 ^ 2,bind([[_26027, _26029, _26031], [128 ^ [], 130 ^ [], 129 ^ []]]))).
% 0.35/1.41 ncf('1.1.3.1',plain,[convergent_lines(129 ^ [], 128 ^ [])],extension(138 ^ 3)).
% 0.35/1.41 ncf('1.1.3.2',plain,[convergent_lines(130 ^ [], 128 ^ [])],extension(140 ^ 3)).
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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