%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO195+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 11:12:09 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO195+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % DateTime : Fri May 19 04:26:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(117 ^ _23131) ^ [] : [-(convergent_lines(113 ^ [], 114 ^ []))], (119 ^ _23131) ^ [] : [-(convergent_lines(115 ^ [], 114 ^ []))], (121 ^ _23131) ^ [] : [-(convergent_lines(113 ^ [], 115 ^ []))], (123 ^ _23131) ^ [] : [-(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ []))], (125 ^ _23131) ^ [] : [apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 115 ^ [])], (2 ^ _23131) ^ [_23214] : [distinct_points(_23214, _23214)], (4 ^ _23131) ^ [_23291] : [distinct_lines(_23291, _23291)], (6 ^ _23131) ^ [_23368] : [convergent_lines(_23368, _23368)], (8 ^ _23131) ^ [_23489, _23491, _23493] : [distinct_points(_23493, _23491), -(distinct_points(_23493, _23489)), -(distinct_points(_23491, _23489))], (18 ^ _23131) ^ [_23813, _23815, _23817] : [distinct_lines(_23817, _23815), -(distinct_lines(_23817, _23813)), -(distinct_lines(_23815, _23813))], (28 ^ _23131) ^ [_24137, _24139, _24141] : [convergent_lines(_24141, _24139), -(convergent_lines(_24141, _24137)), -(convergent_lines(_24139, _24137))], (38 ^ _23131) ^ [_24447, _24449] : [distinct_points(_24449, _24447), apart_point_and_line(_24449, line_connecting(_24449, _24447))], (44 ^ _23131) ^ [_24664, _24666] : [distinct_points(_24666, _24664), apart_point_and_line(_24664, line_connecting(_24666, _24664))], (50 ^ _23131) ^ [_24881, _24883] : [convergent_lines(_24883, _24881), apart_point_and_line(intersection_point(_24883, _24881), _24883)], (56 ^ _23131) ^ [_25098, _25100] : [convergent_lines(_25100, _25098), apart_point_and_line(intersection_point(_25100, _25098), _25098)], (62 ^ _23131) ^ [_25343, _25345, _25347, _25349] : [distinct_points(_25349, _25347), distinct_lines(_25345, _25343), -(apart_point_and_line(_25349, _25345)), -(apart_point_and_line(_25349, _25343)), -(apart_point_and_line(_25347, _25345)), -(apart_point_and_line(_25347, _25343))], (84 ^ _23131) ^ [_25972, _25974, _25976] : [apart_point_and_line(_25976, _25974), -(distinct_points(_25976, _25972)), -(apart_point_and_line(_25972, _25974))], (94 ^ _23131) ^ [_26296, _26298, _26300] : [apart_point_and_line(_26300, _26298), -(distinct_lines(_26298, _26296)), -(apart_point_and_line(_26300, _26296))], (104 ^ _23131) ^ [_26600, _26602, _26604] : [convergent_lines(_26604, _26602), -(distinct_lines(_26602, _26600)), -(convergent_lines(_26604, _26600))]], input).
% 0.34/1.38 ncf('1',plain,[convergent_lines(113 ^ [], 113 ^ [])],start(6 ^ 0,bind([[_23368], [113 ^ []]]))).
% 0.34/1.38 ncf('1.1',plain,[-(convergent_lines(113 ^ [], 113 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(convergent_lines(114 ^ [], 113 ^ []))],extension(28 ^ 1,bind([[_24137, _24139, _24141], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 2)).
% 0.34/1.38 ncf('1.1.2',plain,[convergent_lines(114 ^ [], 113 ^ []), apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 114 ^ [])],extension(50 ^ 2,bind([[_24881, _24883], [113 ^ [], 114 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 114 ^ [])), distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(114 ^ [], 113 ^ [])), distinct_lines(114 ^ [], 113 ^ []), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ [])), -(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ [])), -(apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 113 ^ []))],extension(62 ^ 3,bind([[_25343, _25345, _25347, _25349], [113 ^ [], 114 ^ [], intersection_point(114 ^ [], 113 ^ []), intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.34/1.38 ncf('1.1.2.1.1',plain,[-(distinct_points(intersection_point(113 ^ [], 114 ^ []), intersection_point(114 ^ [], 113 ^ []))), apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ []), -(apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 115 ^ []))],extension(84 ^ 4,bind([[_25972, _25974, _25976], [intersection_point(114 ^ [], 113 ^ []), 115 ^ [], intersection_point(113 ^ [], 114 ^ [])]]))).
% 0.34/1.38 ncf('1.1.2.1.1.1',plain,[-(apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 115 ^ []))],extension(123 ^ 5)).
% 0.34/1.38 ncf('1.1.2.1.1.2',plain,[apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 115 ^ [])],extension(125 ^ 5)).
% 0.34/1.38 ncf('1.1.2.1.2',plain,[-(distinct_lines(114 ^ [], 113 ^ [])), convergent_lines(113 ^ [], 114 ^ []), -(convergent_lines(113 ^ [], 113 ^ []))],extension(104 ^ 4,bind([[_26600, _26602, _26604], [113 ^ [], 114 ^ [], 113 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1.2.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],extension(117 ^ 5)).
% 0.34/1.38 ncf('1.1.2.1.2.2',plain,[convergent_lines(113 ^ [], 113 ^ [])],reduction('1')).
% 0.34/1.38 ncf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 114 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(56 ^ 4,bind([[_25098, _25100], [114 ^ [], 113 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1.3.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(113 ^ [], 114 ^ []), 113 ^ []), convergent_lines(113 ^ [], 114 ^ [])],extension(50 ^ 4,bind([[_24881, _24883], [114 ^ [], 113 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1.4.1',plain,[-(convergent_lines(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(114 ^ [], 113 ^ []), 113 ^ []), convergent_lines(114 ^ [], 113 ^ [])],extension(56 ^ 4,bind([[_25098, _25100], [113 ^ [], 114 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1.5.1',plain,[-(convergent_lines(114 ^ [], 113 ^ []))],reduction('1.1')).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------