TSTP Solution File: GEO172+2 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 11:12:03 EDT 2023
% Result : Theorem 0.32s 1.37s
% Output : Proof 0.32s
% 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 : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n002.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 04:31:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.37
% 0.32/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 ncf(matrix, plain, [(113 ^ _21750) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _21750) ^ [] : [apart_point_and_line(111 ^ [], 109 ^ [])], (117 ^ _21750) ^ [] : [apart_point_and_line(111 ^ [], 110 ^ [])], (119 ^ _21750) ^ [] : [-(distinct_points(111 ^ [], intersection_point(109 ^ [], 110 ^ [])))], (2 ^ _21750) ^ [_21833] : [distinct_points(_21833, _21833)], (4 ^ _21750) ^ [_21910] : [distinct_lines(_21910, _21910)], (6 ^ _21750) ^ [_21987] : [convergent_lines(_21987, _21987)], (8 ^ _21750) ^ [_22108, _22110, _22112] : [distinct_points(_22112, _22110), -(distinct_points(_22112, _22108)), -(distinct_points(_22110, _22108))], (18 ^ _21750) ^ [_22432, _22434, _22436] : [distinct_lines(_22436, _22434), -(distinct_lines(_22436, _22432)), -(distinct_lines(_22434, _22432))], (28 ^ _21750) ^ [_22756, _22758, _22760] : [convergent_lines(_22760, _22758), -(convergent_lines(_22760, _22756)), -(convergent_lines(_22758, _22756))], (38 ^ _21750) ^ [_23080, _23082, _23084] : [distinct_points(_23084, _23082), apart_point_and_line(_23080, line_connecting(_23084, _23082)), 45 ^ _21750 : [(46 ^ _21750) ^ [] : [-(distinct_points(_23080, _23084))], (48 ^ _21750) ^ [] : [-(distinct_points(_23080, _23082))]]], (50 ^ _21750) ^ [_23486, _23488, _23490] : [convergent_lines(_23490, _23488), 55 ^ _21750 : [(56 ^ _21750) ^ [] : [apart_point_and_line(_23486, _23490)], (58 ^ _21750) ^ [] : [apart_point_and_line(_23486, _23488)]], -(distinct_points(_23486, intersection_point(_23490, _23488)))], (62 ^ _21750) ^ [_23905, _23907, _23909, _23911] : [distinct_points(_23911, _23909), distinct_lines(_23907, _23905), -(apart_point_and_line(_23911, _23907)), -(apart_point_and_line(_23911, _23905)), -(apart_point_and_line(_23909, _23907)), -(apart_point_and_line(_23909, _23905))], (84 ^ _21750) ^ [_24534, _24536, _24538] : [apart_point_and_line(_24538, _24536), -(distinct_points(_24538, _24534)), -(apart_point_and_line(_24534, _24536))], (104 ^ _21750) ^ [_25148, _25150] : [convergent_lines(_25150, _25148), -(distinct_lines(_25150, _25148))], (94 ^ _21750) ^ [_24858, _24860, _24862] : [apart_point_and_line(_24862, _24860), -(distinct_lines(_24860, _24858)), -(apart_point_and_line(_24862, _24858))]], input).
% 0.32/1.37 ncf('1',plain,[apart_point_and_line(111 ^ [], 109 ^ [])],start(115 ^ 0)).
% 0.32/1.37 ncf('1.1',plain,[-(apart_point_and_line(111 ^ [], 109 ^ [])), distinct_points(111 ^ [], intersection_point(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(111 ^ [], 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 1,bind([[_23905, _23907, _23909, _23911], [110 ^ [], 109 ^ [], intersection_point(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.32/1.37 ncf('1.1.1',plain,[-(distinct_points(111 ^ [], intersection_point(109 ^ [], 110 ^ [])))],extension(119 ^ 2)).
% 0.32/1.37 ncf('1.1.2',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 2,bind([[_22432, _22434, _22436], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 3,bind([[_25148, _25150], [110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.32/1.37 ncf('1.1.2.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 3,bind([[_21910], [110 ^ []]]))).
% 0.32/1.37 ncf('1.1.3',plain,[apart_point_and_line(111 ^ [], 110 ^ [])],extension(117 ^ 2)).
% 0.32/1.37 ncf('1.1.4',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 ^ 2,bind([[_23486, _23488, _23490], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 0.32/1.37 ncf('1.1.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_21833], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.32/1.37 ncf('1.1.5',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 ^ 2,bind([[_23486, _23488, _23490], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.32/1.37 ncf('1.1.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 0.32/1.37 ncf('1.1.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_21833], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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