TSTP Solution File: GEO219+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 11:12:16 EDT 2023
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 19 04:47:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.34/1.40
% 0.34/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 ncf(matrix, plain, [(151 ^ _27103) ^ [] : [unorthogonal_lines(147 ^ [], 148 ^ [])], (153 ^ _27103) ^ [] : [convergent_lines(147 ^ [], 149 ^ [])], (155 ^ _27103) ^ [] : [-(unorthogonal_lines(148 ^ [], 149 ^ []))], (114 ^ _27103) ^ [_30928, _30930] : [-(convergent_lines(_30930, _30928)), -(unorthogonal_lines(_30930, _30928))], (138 ^ _27103) ^ [_31722, _31724, _31726] : [convergent_lines(_31724, _31722), -(unorthogonal_lines(_31726, _31724)), -(unorthogonal_lines(_31726, _31722))], (120 ^ _27103) ^ [_31157, _31159, _31161] : [123 ^ _27103 : [(124 ^ _27103) ^ [] : [-(convergent_lines(_31161, _31159))], (126 ^ _27103) ^ [] : [-(unorthogonal_lines(_31161, _31159))]], 127 ^ _27103 : [(128 ^ _27103) ^ [] : [-(convergent_lines(_31161, _31157))], (130 ^ _27103) ^ [] : [-(unorthogonal_lines(_31161, _31157))]], convergent_lines(_31159, _31157), unorthogonal_lines(_31159, _31157)], (2 ^ _27103) ^ [_27206] : [distinct_points(_27206, _27206)], (4 ^ _27103) ^ [_27283] : [distinct_lines(_27283, _27283)], (6 ^ _27103) ^ [_27360] : [convergent_lines(_27360, _27360)], (8 ^ _27103) ^ [_27481, _27483, _27485] : [distinct_points(_27485, _27483), -(distinct_points(_27485, _27481)), -(distinct_points(_27483, _27481))], (18 ^ _27103) ^ [_27805, _27807, _27809] : [distinct_lines(_27809, _27807), -(distinct_lines(_27809, _27805)), -(distinct_lines(_27807, _27805))], (28 ^ _27103) ^ [_28129, _28131, _28133] : [convergent_lines(_28133, _28131), -(convergent_lines(_28133, _28129)), -(convergent_lines(_28131, _28129))], (38 ^ _27103) ^ [_28439, _28441] : [distinct_points(_28441, _28439), apart_point_and_line(_28441, line_connecting(_28441, _28439))], (44 ^ _27103) ^ [_28656, _28658] : [distinct_points(_28658, _28656), apart_point_and_line(_28656, line_connecting(_28658, _28656))], (50 ^ _27103) ^ [_28873, _28875] : [convergent_lines(_28875, _28873), apart_point_and_line(intersection_point(_28875, _28873), _28875)], (56 ^ _27103) ^ [_29090, _29092] : [convergent_lines(_29092, _29090), apart_point_and_line(intersection_point(_29092, _29090), _29090)], (62 ^ _27103) ^ [_29335, _29337, _29339, _29341] : [distinct_points(_29341, _29339), distinct_lines(_29337, _29335), -(apart_point_and_line(_29341, _29337)), -(apart_point_and_line(_29341, _29335)), -(apart_point_and_line(_29339, _29337)), -(apart_point_and_line(_29339, _29335))], (84 ^ _27103) ^ [_29964, _29966, _29968] : [apart_point_and_line(_29968, _29966), -(distinct_points(_29968, _29964)), -(apart_point_and_line(_29964, _29966))], (94 ^ _27103) ^ [_30288, _30290, _30292] : [apart_point_and_line(_30292, _30290), -(distinct_lines(_30290, _30288)), -(apart_point_and_line(_30292, _30288))], (104 ^ _27103) ^ [_30592, _30594, _30596] : [convergent_lines(_30596, _30594), -(distinct_lines(_30594, _30592)), -(convergent_lines(_30596, _30592))]], input).
% 0.34/1.40 ncf('1',plain,[convergent_lines(147 ^ [], 149 ^ [])],start(153 ^ 0)).
% 0.34/1.40 ncf('1.1',plain,[-(convergent_lines(147 ^ [], 149 ^ [])), convergent_lines(147 ^ [], 148 ^ []), -(convergent_lines(148 ^ [], 149 ^ []))],extension(28 ^ 1,bind([[_28129, _28131, _28133], [149 ^ [], 148 ^ [], 147 ^ []]]))).
% 0.34/1.40 ncf('1.1.1',plain,[-(convergent_lines(147 ^ [], 148 ^ [])), -(unorthogonal_lines(147 ^ [], 148 ^ []))],extension(114 ^ 2,bind([[_30928, _30930], [148 ^ [], 147 ^ []]]))).
% 0.34/1.40 ncf('1.1.1.1',plain,[unorthogonal_lines(147 ^ [], 148 ^ [])],extension(151 ^ 3)).
% 0.34/1.40 ncf('1.1.2',plain,[convergent_lines(148 ^ [], 149 ^ []), 126 : -(unorthogonal_lines(147 ^ [], 148 ^ [])), 128 : -(convergent_lines(147 ^ [], 149 ^ [])), 128 : unorthogonal_lines(148 ^ [], 149 ^ [])],extension(120 ^ 2,bind([[_31157, _31159, _31161], [149 ^ [], 148 ^ [], 147 ^ []]]))).
% 0.34/1.40 ncf('1.1.2.1',plain,[unorthogonal_lines(147 ^ [], 148 ^ [])],extension(151 ^ 5)).
% 0.34/1.40 ncf('1.1.2.2',plain,[convergent_lines(147 ^ [], 149 ^ [])],reduction('1')).
% 0.34/1.40 ncf('1.1.2.3',plain,[-(unorthogonal_lines(148 ^ [], 149 ^ []))],extension(155 ^ 3)).
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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