TSTP Solution File: GEO198+2 by nanoCoP---2.0
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%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO198+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 11:12:10 EDT 2023
% Result : Theorem 1.05s 1.37s
% Output : Proof 1.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO198+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 04:18:57 EDT 2023
% 0.13/0.33 % CPUTime :
% 1.05/1.37
% 1.05/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.05/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.37 %-----------------------------------------------------
% 1.05/1.37 ncf(matrix, plain, [(113 ^ _23012) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _23012) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _23012) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _23012) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])], (121 ^ _23012) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ []))], (2 ^ _23012) ^ [_23095] : [distinct_points(_23095, _23095)], (4 ^ _23012) ^ [_23172] : [distinct_lines(_23172, _23172)], (6 ^ _23012) ^ [_23249] : [convergent_lines(_23249, _23249)], (8 ^ _23012) ^ [_23370, _23372, _23374] : [distinct_points(_23374, _23372), -(distinct_points(_23374, _23370)), -(distinct_points(_23372, _23370))], (18 ^ _23012) ^ [_23694, _23696, _23698] : [distinct_lines(_23698, _23696), -(distinct_lines(_23698, _23694)), -(distinct_lines(_23696, _23694))], (28 ^ _23012) ^ [_24018, _24020, _24022] : [convergent_lines(_24022, _24020), -(convergent_lines(_24022, _24018)), -(convergent_lines(_24020, _24018))], (38 ^ _23012) ^ [_24342, _24344, _24346] : [distinct_points(_24346, _24344), apart_point_and_line(_24342, line_connecting(_24346, _24344)), 45 ^ _23012 : [(46 ^ _23012) ^ [] : [-(distinct_points(_24342, _24346))], (48 ^ _23012) ^ [] : [-(distinct_points(_24342, _24344))]]], (50 ^ _23012) ^ [_24748, _24750, _24752] : [convergent_lines(_24752, _24750), 55 ^ _23012 : [(56 ^ _23012) ^ [] : [apart_point_and_line(_24748, _24752)], (58 ^ _23012) ^ [] : [apart_point_and_line(_24748, _24750)]], -(distinct_points(_24748, intersection_point(_24752, _24750)))], (62 ^ _23012) ^ [_25167, _25169, _25171, _25173] : [distinct_points(_25173, _25171), distinct_lines(_25169, _25167), -(apart_point_and_line(_25173, _25169)), -(apart_point_and_line(_25173, _25167)), -(apart_point_and_line(_25171, _25169)), -(apart_point_and_line(_25171, _25167))], (84 ^ _23012) ^ [_25796, _25798, _25800] : [apart_point_and_line(_25800, _25798), -(distinct_points(_25800, _25796)), -(apart_point_and_line(_25796, _25798))], (104 ^ _23012) ^ [_26410, _26412] : [convergent_lines(_26412, _26410), -(distinct_lines(_26412, _26410))], (94 ^ _23012) ^ [_26120, _26122, _26124] : [apart_point_and_line(_26124, _26122), -(distinct_lines(_26122, _26120)), -(apart_point_and_line(_26124, _26120))]], input).
% 1.05/1.37 ncf('1',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],start(119 ^ 0)).
% 1.05/1.37 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), distinct_lines(111 ^ [], 109 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 111 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ []))],extension(62 ^ 1,bind([[_25167, _25169, _25171, _25173], [109 ^ [], 111 ^ [], intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.05/1.37 ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []))), distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(8 ^ 2,bind([[_23370, _23372, _23374], [intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.05/1.37 ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ []))), convergent_lines(109 ^ [], 110 ^ []), 58 : apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ [])],extension(50 ^ 3,bind([[_24748, _24750, _24752], [intersection_point(109 ^ [], 111 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 1.05/1.37 ncf('1.1.1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ []))],extension(121 ^ 6)).
% 1.05/1.37 ncf('1.1.1.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],extension(2 ^ 3,bind([[_23095], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.05/1.37 ncf('1.1.2',plain,[-(distinct_lines(111 ^ [], 109 ^ [])), distinct_lines(109 ^ [], 111 ^ []), -(distinct_lines(109 ^ [], 109 ^ []))],extension(18 ^ 2,bind([[_23694, _23696, _23698], [109 ^ [], 111 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 111 ^ [])), convergent_lines(109 ^ [], 111 ^ [])],extension(104 ^ 3,bind([[_26410, _26412], [111 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.2.1.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(117 ^ 4)).
% 1.05/1.37 ncf('1.1.2.2',plain,[distinct_lines(109 ^ [], 109 ^ [])],extension(4 ^ 3,bind([[_23172], [109 ^ []]]))).
% 1.05/1.37 ncf('1.1.3',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([[_24748, _24750, _24752], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.3.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 1.05/1.37 ncf('1.1.3.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23095], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 1.05/1.37 ncf('1.1.4',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 111 ^ []), convergent_lines(109 ^ [], 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(50 ^ 2,bind([[_24748, _24750, _24752], [intersection_point(109 ^ [], 111 ^ []), 111 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.4.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(117 ^ 3)).
% 1.05/1.37 ncf('1.1.4.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],extension(2 ^ 3,bind([[_23095], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.05/1.37 ncf('1.1.5',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ []), convergent_lines(109 ^ [], 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ [])))],extension(50 ^ 2,bind([[_24748, _24750, _24752], [intersection_point(109 ^ [], 111 ^ []), 111 ^ [], 109 ^ []]]))).
% 1.05/1.37 ncf('1.1.5.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],extension(117 ^ 3)).
% 1.05/1.37 ncf('1.1.5.2',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],extension(2 ^ 3,bind([[_23095], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 1.05/1.37 %-----------------------------------------------------
% 1.05/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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