TSTP Solution File: GEO212+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 11:12:14 EDT 2023
% Result : Theorem 19.65s 20.00s
% Output : Proof 19.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n007.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 03:57:38 EDT 2023
% 0.12/0.33 % CPUTime :
% 19.65/20.00
% 19.65/20.00 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 19.65/20.00 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.65/20.00 %-----------------------------------------------------
% 19.65/20.00 ncf(matrix, plain, [(181 ^ _34296) ^ [] : [-(unorthogonal_lines(177 ^ [], 178 ^ []))], (183 ^ _34296) ^ [] : [convergent_lines(177 ^ [], 179 ^ [])], (185 ^ _34296) ^ [] : [unorthogonal_lines(178 ^ [], 179 ^ [])], (114 ^ _34296) ^ [_38125, _38127] : [convergent_lines(parallel_through_point(_38125, _38127), _38125)], (116 ^ _34296) ^ [_38221, _38223] : [apart_point_and_line(_38223, parallel_through_point(_38221, _38223))], (118 ^ _34296) ^ [_38327, _38329, _38331] : [distinct_lines(_38329, _38327), -(apart_point_and_line(_38331, _38329)), -(apart_point_and_line(_38331, _38327)), -(convergent_lines(_38329, _38327))], (132 ^ _34296) ^ [_38735, _38737] : [-(convergent_lines(_38737, _38735)), -(unorthogonal_lines(_38737, _38735))], (138 ^ _34296) ^ [_38960, _38962, _38964] : [convergent_lines(_38964, _38962), unorthogonal_lines(_38964, _38962), 147 ^ _34296 : [(148 ^ _34296) ^ [] : [-(convergent_lines(_38964, _38960))], (150 ^ _34296) ^ [] : [-(unorthogonal_lines(_38964, _38960))]], 151 ^ _34296 : [(152 ^ _34296) ^ [] : [-(convergent_lines(_38962, _38960))], (154 ^ _34296) ^ [] : [-(unorthogonal_lines(_38962, _38960))]]], (156 ^ _34296) ^ [_39503, _39505] : [unorthogonal_lines(orthogonal_through_point(_39503, _39505), _39503)], (158 ^ _34296) ^ [_39599, _39601] : [apart_point_and_line(_39601, orthogonal_through_point(_39599, _39601))], (160 ^ _34296) ^ [_39719, _39721, _39723, _39725] : [distinct_lines(_39723, _39721), -(apart_point_and_line(_39725, _39723)), -(apart_point_and_line(_39725, _39721)), -(unorthogonal_lines(_39723, _39719)), -(unorthogonal_lines(_39721, _39719))], (2 ^ _34296) ^ [_34399] : [distinct_points(_34399, _34399)], (4 ^ _34296) ^ [_34476] : [distinct_lines(_34476, _34476)], (6 ^ _34296) ^ [_34553] : [convergent_lines(_34553, _34553)], (8 ^ _34296) ^ [_34674, _34676, _34678] : [distinct_points(_34678, _34676), -(distinct_points(_34678, _34674)), -(distinct_points(_34676, _34674))], (18 ^ _34296) ^ [_34998, _35000, _35002] : [distinct_lines(_35002, _35000), -(distinct_lines(_35002, _34998)), -(distinct_lines(_35000, _34998))], (28 ^ _34296) ^ [_35322, _35324, _35326] : [convergent_lines(_35326, _35324), -(convergent_lines(_35326, _35322)), -(convergent_lines(_35324, _35322))], (38 ^ _34296) ^ [_35632, _35634] : [distinct_points(_35634, _35632), apart_point_and_line(_35634, line_connecting(_35634, _35632))], (44 ^ _34296) ^ [_35849, _35851] : [distinct_points(_35851, _35849), apart_point_and_line(_35849, line_connecting(_35851, _35849))], (50 ^ _34296) ^ [_36066, _36068] : [convergent_lines(_36068, _36066), apart_point_and_line(intersection_point(_36068, _36066), _36068)], (56 ^ _34296) ^ [_36283, _36285] : [convergent_lines(_36285, _36283), apart_point_and_line(intersection_point(_36285, _36283), _36283)], (62 ^ _34296) ^ [_36528, _36530, _36532, _36534] : [distinct_points(_36534, _36532), distinct_lines(_36530, _36528), -(apart_point_and_line(_36534, _36530)), -(apart_point_and_line(_36534, _36528)), -(apart_point_and_line(_36532, _36530)), -(apart_point_and_line(_36532, _36528))], (84 ^ _34296) ^ [_37157, _37159, _37161] : [apart_point_and_line(_37161, _37159), -(distinct_points(_37161, _37157)), -(apart_point_and_line(_37157, _37159))], (94 ^ _34296) ^ [_37481, _37483, _37485] : [apart_point_and_line(_37485, _37483), -(distinct_lines(_37483, _37481)), -(apart_point_and_line(_37485, _37481))], (104 ^ _34296) ^ [_37785, _37787, _37789] : [convergent_lines(_37789, _37787), -(distinct_lines(_37787, _37785)), -(convergent_lines(_37789, _37785))]], input).
% 19.65/20.00 ncf('1',plain,[convergent_lines(177 ^ [], 179 ^ [])],start(183 ^ 0)).
% 19.65/20.00 ncf('1.1',plain,[-(convergent_lines(177 ^ [], 179 ^ [])), convergent_lines(178 ^ [], 177 ^ []), unorthogonal_lines(178 ^ [], 177 ^ []), 148 : -(convergent_lines(178 ^ [], 179 ^ []))],extension(138 ^ 1,bind([[_38960, _38962, _38964], [179 ^ [], 177 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.1',plain,[-(convergent_lines(178 ^ [], 177 ^ [])), convergent_lines(178 ^ [], 179 ^ []), -(convergent_lines(179 ^ [], 177 ^ []))],extension(28 ^ 2,bind([[_35322, _35324, _35326], [177 ^ [], 179 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.1.1',plain,[-(convergent_lines(178 ^ [], 179 ^ [])), -(unorthogonal_lines(178 ^ [], 179 ^ []))],extension(132 ^ 3,bind([[_38735, _38737], [179 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.1.1.1',plain,[unorthogonal_lines(178 ^ [], 179 ^ [])],extension(185 ^ 4)).
% 19.65/20.00 ncf('1.1.1.2',plain,[convergent_lines(179 ^ [], 177 ^ []), -(convergent_lines(179 ^ [], 179 ^ [])), -(convergent_lines(177 ^ [], 179 ^ []))],extension(28 ^ 3,bind([[_35322, _35324, _35326], [179 ^ [], 177 ^ [], 179 ^ []]]))).
% 19.65/20.00 ncf('1.1.1.2.1',plain,[convergent_lines(179 ^ [], 179 ^ [])],extension(6 ^ 4,bind([[_34553], [179 ^ []]]))).
% 19.65/20.00 ncf('1.1.1.2.2',plain,[convergent_lines(177 ^ [], 179 ^ [])],reduction('1')).
% 19.65/20.00 ncf('1.1.2',plain,[-(unorthogonal_lines(178 ^ [], 177 ^ [])), -(convergent_lines(178 ^ [], 177 ^ []))],extension(132 ^ 2,bind([[_38735, _38737], [177 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.2.1',plain,[convergent_lines(178 ^ [], 177 ^ []), -(convergent_lines(178 ^ [], 178 ^ [])), -(convergent_lines(177 ^ [], 178 ^ []))],extension(28 ^ 3,bind([[_35322, _35324, _35326], [178 ^ [], 177 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.2.1.1',plain,[convergent_lines(178 ^ [], 178 ^ [])],extension(6 ^ 4,bind([[_34553], [178 ^ []]]))).
% 19.65/20.00 ncf('1.1.2.1.2',plain,[convergent_lines(177 ^ [], 178 ^ []), unorthogonal_lines(177 ^ [], 178 ^ []), 148 : -(convergent_lines(177 ^ [], 179 ^ [])), 154 : -(unorthogonal_lines(178 ^ [], 179 ^ []))],extension(138 ^ 4,bind([[_38960, _38962, _38964], [179 ^ [], 178 ^ [], 177 ^ []]]))).
% 19.65/20.00 ncf('1.1.2.1.2.1',plain,[-(unorthogonal_lines(177 ^ [], 178 ^ []))],extension(181 ^ 5)).
% 19.65/20.00 ncf('1.1.2.1.2.2',plain,[convergent_lines(177 ^ [], 179 ^ [])],reduction('1')).
% 19.65/20.00 ncf('1.1.2.1.2.3',plain,[unorthogonal_lines(178 ^ [], 179 ^ [])],extension(185 ^ 7)).
% 19.65/20.00 ncf('1.1.3',plain,[convergent_lines(178 ^ [], 179 ^ []), -(convergent_lines(178 ^ [], 177 ^ [])), -(convergent_lines(179 ^ [], 177 ^ []))],extension(28 ^ 4,bind([[_35322, _35324, _35326], [177 ^ [], 179 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.1',plain,[convergent_lines(178 ^ [], 177 ^ []), -(convergent_lines(178 ^ [], 178 ^ [])), -(convergent_lines(177 ^ [], 178 ^ []))],extension(28 ^ 5,bind([[_35322, _35324, _35326], [178 ^ [], 177 ^ [], 178 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.1.1',plain,[convergent_lines(178 ^ [], 178 ^ [])],extension(6 ^ 6,bind([[_34553], [178 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.1.2',plain,[convergent_lines(177 ^ [], 178 ^ []), unorthogonal_lines(177 ^ [], 178 ^ []), 148 : -(convergent_lines(177 ^ [], 179 ^ [])), 154 : -(unorthogonal_lines(178 ^ [], 179 ^ []))],extension(138 ^ 6,bind([[_38960, _38962, _38964], [179 ^ [], 178 ^ [], 177 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.1.2.1',plain,[-(unorthogonal_lines(177 ^ [], 178 ^ []))],extension(181 ^ 7)).
% 19.65/20.00 ncf('1.1.3.1.2.2',plain,[convergent_lines(177 ^ [], 179 ^ [])],reduction('1')).
% 19.65/20.00 ncf('1.1.3.1.2.3',plain,[unorthogonal_lines(178 ^ [], 179 ^ [])],extension(185 ^ 9)).
% 19.65/20.00 ncf('1.1.3.2',plain,[convergent_lines(179 ^ [], 177 ^ []), -(convergent_lines(179 ^ [], 179 ^ [])), -(convergent_lines(177 ^ [], 179 ^ []))],extension(28 ^ 5,bind([[_35322, _35324, _35326], [179 ^ [], 177 ^ [], 179 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.2.1',plain,[convergent_lines(179 ^ [], 179 ^ [])],extension(6 ^ 6,bind([[_34553], [179 ^ []]]))).
% 19.65/20.00 ncf('1.1.3.2.2',plain,[convergent_lines(177 ^ [], 179 ^ [])],reduction('1')).
% 19.65/20.00 %-----------------------------------------------------
% 19.65/20.00 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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