TSTP Solution File: GEO217+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 19 04:26:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.35/1.39
% 0.35/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 ncf(matrix, plain, [(151 ^ _27492) ^ [] : [convergent_lines(147 ^ [], 148 ^ [])], (153 ^ _27492) ^ [] : [convergent_lines(147 ^ [], 149 ^ [])], (155 ^ _27492) ^ [] : [-(convergent_lines(148 ^ [], 149 ^ []))], (114 ^ _27492) ^ [_31317, _31319] : [-(convergent_lines(_31319, _31317)), -(unorthogonal_lines(_31319, _31317))], (138 ^ _27492) ^ [_32111, _32113, _32115] : [convergent_lines(_32113, _32111), -(unorthogonal_lines(_32115, _32113)), -(unorthogonal_lines(_32115, _32111))], (120 ^ _27492) ^ [_31546, _31548, _31550] : [123 ^ _27492 : [(124 ^ _27492) ^ [] : [-(convergent_lines(_31550, _31548))], (126 ^ _27492) ^ [] : [-(unorthogonal_lines(_31550, _31548))]], 127 ^ _27492 : [(128 ^ _27492) ^ [] : [-(convergent_lines(_31550, _31546))], (130 ^ _27492) ^ [] : [-(unorthogonal_lines(_31550, _31546))]], convergent_lines(_31548, _31546), unorthogonal_lines(_31548, _31546)], (2 ^ _27492) ^ [_27595] : [distinct_points(_27595, _27595)], (4 ^ _27492) ^ [_27672] : [distinct_lines(_27672, _27672)], (6 ^ _27492) ^ [_27749] : [convergent_lines(_27749, _27749)], (8 ^ _27492) ^ [_27870, _27872, _27874] : [distinct_points(_27874, _27872), -(distinct_points(_27874, _27870)), -(distinct_points(_27872, _27870))], (18 ^ _27492) ^ [_28194, _28196, _28198] : [distinct_lines(_28198, _28196), -(distinct_lines(_28198, _28194)), -(distinct_lines(_28196, _28194))], (28 ^ _27492) ^ [_28518, _28520, _28522] : [convergent_lines(_28522, _28520), -(convergent_lines(_28522, _28518)), -(convergent_lines(_28520, _28518))], (38 ^ _27492) ^ [_28828, _28830] : [distinct_points(_28830, _28828), apart_point_and_line(_28830, line_connecting(_28830, _28828))], (44 ^ _27492) ^ [_29045, _29047] : [distinct_points(_29047, _29045), apart_point_and_line(_29045, line_connecting(_29047, _29045))], (50 ^ _27492) ^ [_29262, _29264] : [convergent_lines(_29264, _29262), apart_point_and_line(intersection_point(_29264, _29262), _29264)], (56 ^ _27492) ^ [_29479, _29481] : [convergent_lines(_29481, _29479), apart_point_and_line(intersection_point(_29481, _29479), _29479)], (62 ^ _27492) ^ [_29724, _29726, _29728, _29730] : [distinct_points(_29730, _29728), distinct_lines(_29726, _29724), -(apart_point_and_line(_29730, _29726)), -(apart_point_and_line(_29730, _29724)), -(apart_point_and_line(_29728, _29726)), -(apart_point_and_line(_29728, _29724))], (84 ^ _27492) ^ [_30353, _30355, _30357] : [apart_point_and_line(_30357, _30355), -(distinct_points(_30357, _30353)), -(apart_point_and_line(_30353, _30355))], (94 ^ _27492) ^ [_30677, _30679, _30681] : [apart_point_and_line(_30681, _30679), -(distinct_lines(_30679, _30677)), -(apart_point_and_line(_30681, _30677))], (104 ^ _27492) ^ [_30981, _30983, _30985] : [convergent_lines(_30985, _30983), -(distinct_lines(_30983, _30981)), -(convergent_lines(_30985, _30981))]], input).
% 0.35/1.39 ncf('1',plain,[convergent_lines(147 ^ [], 148 ^ [])],start(151 ^ 0)).
% 0.35/1.39 ncf('1.1',plain,[-(convergent_lines(147 ^ [], 148 ^ [])), convergent_lines(148 ^ [], 147 ^ []), -(convergent_lines(148 ^ [], 148 ^ []))],extension(28 ^ 1,bind([[_28518, _28520, _28522], [148 ^ [], 147 ^ [], 148 ^ []]]))).
% 0.35/1.39 ncf('1.1.1',plain,[-(convergent_lines(148 ^ [], 147 ^ [])), convergent_lines(148 ^ [], 149 ^ []), -(convergent_lines(149 ^ [], 147 ^ []))],extension(28 ^ 2,bind([[_28518, _28520, _28522], [147 ^ [], 149 ^ [], 148 ^ []]]))).
% 0.35/1.39 ncf('1.1.1.1',plain,[-(convergent_lines(148 ^ [], 149 ^ []))],extension(155 ^ 3)).
% 0.35/1.39 ncf('1.1.1.2',plain,[convergent_lines(149 ^ [], 147 ^ []), -(convergent_lines(149 ^ [], 149 ^ [])), -(convergent_lines(147 ^ [], 149 ^ []))],extension(28 ^ 3,bind([[_28518, _28520, _28522], [149 ^ [], 147 ^ [], 149 ^ []]]))).
% 0.35/1.39 ncf('1.1.1.2.1',plain,[convergent_lines(149 ^ [], 149 ^ [])],extension(6 ^ 4,bind([[_27749], [149 ^ []]]))).
% 0.35/1.39 ncf('1.1.1.2.2',plain,[convergent_lines(147 ^ [], 149 ^ [])],extension(153 ^ 4)).
% 0.35/1.39 ncf('1.1.2',plain,[convergent_lines(148 ^ [], 148 ^ []), -(unorthogonal_lines(148 ^ [], 148 ^ [])), -(unorthogonal_lines(148 ^ [], 148 ^ []))],extension(138 ^ 2,bind([[_32111, _32113, _32115], [148 ^ [], 148 ^ [], 148 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.1',plain,[unorthogonal_lines(148 ^ [], 148 ^ []), 124 : -(convergent_lines(147 ^ [], 148 ^ [])), 128 : -(convergent_lines(147 ^ [], 148 ^ [])), 128 : convergent_lines(148 ^ [], 148 ^ [])],extension(120 ^ 3,bind([[_31546, _31548, _31550], [148 ^ [], 148 ^ [], 147 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.1.1',plain,[convergent_lines(147 ^ [], 148 ^ [])],reduction('1')).
% 0.35/1.39 ncf('1.1.2.1.2',plain,[convergent_lines(147 ^ [], 148 ^ [])],reduction('1')).
% 0.35/1.39 ncf('1.1.2.1.3',plain,[-(convergent_lines(148 ^ [], 148 ^ []))],reduction('1.1')).
% 0.35/1.39 ncf('1.1.2.2',plain,[unorthogonal_lines(148 ^ [], 148 ^ [])],lemmata('[1, 1].x')).
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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