TSTP Solution File: GEO199+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:12:11 EDT 2023
% Result : Theorem 0.38s 1.37s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n010.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 04:04:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.38/1.37
% 0.38/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.37 %-----------------------------------------------------
% 0.38/1.37 ncf(matrix, plain, [(113 ^ _23799) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _23799) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _23799) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _23799) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])], (121 ^ _23799) ^ [] : [-(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ []))], (2 ^ _23799) ^ [_23882] : [distinct_points(_23882, _23882)], (4 ^ _23799) ^ [_23959] : [distinct_lines(_23959, _23959)], (6 ^ _23799) ^ [_24036] : [convergent_lines(_24036, _24036)], (8 ^ _23799) ^ [_24157, _24159, _24161] : [distinct_points(_24161, _24159), -(distinct_points(_24161, _24157)), -(distinct_points(_24159, _24157))], (18 ^ _23799) ^ [_24481, _24483, _24485] : [distinct_lines(_24485, _24483), -(distinct_lines(_24485, _24481)), -(distinct_lines(_24483, _24481))], (28 ^ _23799) ^ [_24805, _24807, _24809] : [convergent_lines(_24809, _24807), -(convergent_lines(_24809, _24805)), -(convergent_lines(_24807, _24805))], (38 ^ _23799) ^ [_25129, _25131, _25133] : [distinct_points(_25133, _25131), apart_point_and_line(_25129, line_connecting(_25133, _25131)), 45 ^ _23799 : [(46 ^ _23799) ^ [] : [-(distinct_points(_25129, _25133))], (48 ^ _23799) ^ [] : [-(distinct_points(_25129, _25131))]]], (50 ^ _23799) ^ [_25535, _25537, _25539] : [convergent_lines(_25539, _25537), 55 ^ _23799 : [(56 ^ _23799) ^ [] : [apart_point_and_line(_25535, _25539)], (58 ^ _23799) ^ [] : [apart_point_and_line(_25535, _25537)]], -(distinct_points(_25535, intersection_point(_25539, _25537)))], (62 ^ _23799) ^ [_25954, _25956, _25958, _25960] : [distinct_points(_25960, _25958), distinct_lines(_25956, _25954), -(apart_point_and_line(_25960, _25956)), -(apart_point_and_line(_25960, _25954)), -(apart_point_and_line(_25958, _25956)), -(apart_point_and_line(_25958, _25954))], (84 ^ _23799) ^ [_26583, _26585, _26587] : [apart_point_and_line(_26587, _26585), -(distinct_points(_26587, _26583)), -(apart_point_and_line(_26583, _26585))], (104 ^ _23799) ^ [_27197, _27199] : [convergent_lines(_27199, _27197), -(distinct_lines(_27199, _27197))], (94 ^ _23799) ^ [_26907, _26909, _26911] : [apart_point_and_line(_26911, _26909), -(distinct_lines(_26909, _26907)), -(apart_point_and_line(_26911, _26907))]], input).
% 0.38/1.37 ncf('1',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],start(119 ^ 0)).
% 0.38/1.37 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(84 ^ 1,bind([[_26583, _26585, _26587], [intersection_point(109 ^ [], 110 ^ []), 111 ^ [], intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.38/1.37 ncf('1.1.1',plain,[-(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 111 ^ []))],extension(121 ^ 2)).
% 0.38/1.37 ncf('1.1.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 2,bind([[_25954, _25956, _25958, _25960], [110 ^ [], 109 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.38/1.37 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 3,bind([[_24481, _24483, _24485], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 4,bind([[_24481, _24483, _24485], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 5,bind([[_27197, _27199], [110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 6)).
% 0.38/1.37 ncf('1.1.2.1.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 5,bind([[_23959], [110 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 4,bind([[_23959], [110 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.2',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 109 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_25535, _25537, _25539], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.2.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_24805, _24807, _24809], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.38/1.37 ncf('1.1.2.2.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_24036], [109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.2.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_23882], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.38/1.37 ncf('1.1.2.3',plain,[apart_point_and_line(intersection_point(110 ^ [], 109 ^ []), 110 ^ []), convergent_lines(110 ^ [], 109 ^ []), -(distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ [])))],extension(50 ^ 3,bind([[_25535, _25537, _25539], [intersection_point(110 ^ [], 109 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.3.1',plain,[-(convergent_lines(110 ^ [], 109 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(109 ^ [], 109 ^ []))],extension(28 ^ 4,bind([[_24805, _24807, _24809], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.3.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 5)).
% 0.38/1.37 ncf('1.1.2.3.1.2',plain,[convergent_lines(109 ^ [], 109 ^ [])],extension(6 ^ 5,bind([[_24036], [109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.3.2',plain,[distinct_points(intersection_point(110 ^ [], 109 ^ []), intersection_point(110 ^ [], 109 ^ []))],extension(2 ^ 4,bind([[_23882], [intersection_point(110 ^ [], 109 ^ [])]]))).
% 0.38/1.37 ncf('1.1.2.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_25535, _25537, _25539], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.38/1.37 ncf('1.1.2.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 4,bind([[_23882], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.38/1.37 ncf('1.1.2.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []), convergent_lines(109 ^ [], 110 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(50 ^ 3,bind([[_25535, _25537, _25539], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.38/1.37 ncf('1.1.2.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.38/1.37 ncf('1.1.2.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 4,bind([[_23882], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.38/1.37 %-----------------------------------------------------
% 0.38/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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