TSTP Solution File: GEO219+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO219+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 0.28s 1.37s
% Output : Proof 0.28s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO219+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 19 04:30:18 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.28/1.37
% 0.28/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.28/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.37 %-----------------------------------------------------
% 0.28/1.37 ncf(matrix, plain, [(147 ^ _25960) ^ [] : [unorthogonal_lines(143 ^ [], 144 ^ [])], (149 ^ _25960) ^ [] : [convergent_lines(143 ^ [], 145 ^ [])], (151 ^ _25960) ^ [] : [-(unorthogonal_lines(144 ^ [], 145 ^ []))], (110 ^ _25960) ^ [_29610, _29612] : [-(convergent_lines(_29612, _29610)), -(unorthogonal_lines(_29612, _29610))], (134 ^ _25960) ^ [_30404, _30406, _30408] : [convergent_lines(_30406, _30404), -(unorthogonal_lines(_30408, _30406)), -(unorthogonal_lines(_30408, _30404))], (116 ^ _25960) ^ [_29839, _29841, _29843] : [119 ^ _25960 : [(120 ^ _25960) ^ [] : [-(convergent_lines(_29843, _29841))], (122 ^ _25960) ^ [] : [-(unorthogonal_lines(_29843, _29841))]], 123 ^ _25960 : [(124 ^ _25960) ^ [] : [-(convergent_lines(_29843, _29839))], (126 ^ _25960) ^ [] : [-(unorthogonal_lines(_29843, _29839))]], convergent_lines(_29841, _29839), unorthogonal_lines(_29841, _29839)], (2 ^ _25960) ^ [_26063] : [distinct_points(_26063, _26063)], (4 ^ _25960) ^ [_26140] : [distinct_lines(_26140, _26140)], (6 ^ _25960) ^ [_26217] : [convergent_lines(_26217, _26217)], (8 ^ _25960) ^ [_26338, _26340, _26342] : [distinct_points(_26342, _26340), -(distinct_points(_26342, _26338)), -(distinct_points(_26340, _26338))], (18 ^ _25960) ^ [_26662, _26664, _26666] : [distinct_lines(_26666, _26664), -(distinct_lines(_26666, _26662)), -(distinct_lines(_26664, _26662))], (28 ^ _25960) ^ [_26986, _26988, _26990] : [convergent_lines(_26990, _26988), -(convergent_lines(_26990, _26986)), -(convergent_lines(_26988, _26986))], (38 ^ _25960) ^ [_27310, _27312, _27314] : [distinct_points(_27314, _27312), apart_point_and_line(_27310, line_connecting(_27314, _27312)), 45 ^ _25960 : [(46 ^ _25960) ^ [] : [-(distinct_points(_27310, _27314))], (48 ^ _25960) ^ [] : [-(distinct_points(_27310, _27312))]]], (50 ^ _25960) ^ [_27716, _27718, _27720] : [convergent_lines(_27720, _27718), 55 ^ _25960 : [(56 ^ _25960) ^ [] : [apart_point_and_line(_27716, _27720)], (58 ^ _25960) ^ [] : [apart_point_and_line(_27716, _27718)]], -(distinct_points(_27716, intersection_point(_27720, _27718)))], (62 ^ _25960) ^ [_28135, _28137, _28139, _28141] : [distinct_points(_28141, _28139), distinct_lines(_28137, _28135), -(apart_point_and_line(_28141, _28137)), -(apart_point_and_line(_28141, _28135)), -(apart_point_and_line(_28139, _28137)), -(apart_point_and_line(_28139, _28135))], (84 ^ _25960) ^ [_28764, _28766, _28768] : [apart_point_and_line(_28768, _28766), -(distinct_points(_28768, _28764)), -(apart_point_and_line(_28764, _28766))], (104 ^ _25960) ^ [_29378, _29380] : [convergent_lines(_29380, _29378), -(distinct_lines(_29380, _29378))], (94 ^ _25960) ^ [_29088, _29090, _29092] : [apart_point_and_line(_29092, _29090), -(distinct_lines(_29090, _29088)), -(apart_point_and_line(_29092, _29088))]], input).
% 0.28/1.37 ncf('1',plain,[convergent_lines(143 ^ [], 145 ^ [])],start(149 ^ 0)).
% 0.28/1.37 ncf('1.1',plain,[-(convergent_lines(143 ^ [], 145 ^ [])), convergent_lines(143 ^ [], 144 ^ []), -(convergent_lines(144 ^ [], 145 ^ []))],extension(28 ^ 1,bind([[_26986, _26988, _26990], [145 ^ [], 144 ^ [], 143 ^ []]]))).
% 0.28/1.37 ncf('1.1.1',plain,[-(convergent_lines(143 ^ [], 144 ^ [])), -(unorthogonal_lines(143 ^ [], 144 ^ []))],extension(110 ^ 2,bind([[_29610, _29612], [144 ^ [], 143 ^ []]]))).
% 0.28/1.37 ncf('1.1.1.1',plain,[unorthogonal_lines(143 ^ [], 144 ^ [])],extension(147 ^ 3)).
% 0.28/1.37 ncf('1.1.2',plain,[convergent_lines(144 ^ [], 145 ^ []), 122 : -(unorthogonal_lines(143 ^ [], 144 ^ [])), 124 : -(convergent_lines(143 ^ [], 145 ^ [])), 124 : unorthogonal_lines(144 ^ [], 145 ^ [])],extension(116 ^ 2,bind([[_29839, _29841, _29843], [145 ^ [], 144 ^ [], 143 ^ []]]))).
% 0.28/1.37 ncf('1.1.2.1',plain,[unorthogonal_lines(143 ^ [], 144 ^ [])],extension(147 ^ 5)).
% 0.28/1.37 ncf('1.1.2.2',plain,[convergent_lines(143 ^ [], 145 ^ [])],reduction('1')).
% 0.28/1.37 ncf('1.1.2.3',plain,[-(unorthogonal_lines(144 ^ [], 145 ^ []))],extension(151 ^ 3)).
% 0.28/1.37 %-----------------------------------------------------
% 0.28/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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