TSTP Solution File: GEO191+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO191+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:12:08 EDT 2023
% Result : Theorem 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO191+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 04:42:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.35/1.39
% 0.35/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 ncf(matrix, plain, [(124 ^ _23804) ^ [] : [apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])], (126 ^ _23804) ^ [] : [apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ [])], (114 ^ _23804) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (116 ^ _23804) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _23804) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ []))], (2 ^ _23804) ^ [_23887] : [distinct_points(_23887, _23887)], (4 ^ _23804) ^ [_23964] : [distinct_lines(_23964, _23964)], (6 ^ _23804) ^ [_24041] : [convergent_lines(_24041, _24041)], (8 ^ _23804) ^ [_24162, _24164, _24166] : [distinct_points(_24166, _24164), -(distinct_points(_24166, _24162)), -(distinct_points(_24164, _24162))], (18 ^ _23804) ^ [_24486, _24488, _24490] : [distinct_lines(_24490, _24488), -(distinct_lines(_24490, _24486)), -(distinct_lines(_24488, _24486))], (28 ^ _23804) ^ [_24810, _24812, _24814] : [convergent_lines(_24814, _24812), -(convergent_lines(_24814, _24810)), -(convergent_lines(_24812, _24810))], (38 ^ _23804) ^ [_25134, _25136, _25138] : [distinct_points(_25138, _25136), apart_point_and_line(_25134, line_connecting(_25138, _25136)), 45 ^ _23804 : [(46 ^ _23804) ^ [] : [-(distinct_points(_25134, _25138))], (48 ^ _23804) ^ [] : [-(distinct_points(_25134, _25136))]]], (50 ^ _23804) ^ [_25540, _25542, _25544] : [convergent_lines(_25544, _25542), 55 ^ _23804 : [(56 ^ _23804) ^ [] : [apart_point_and_line(_25540, _25544)], (58 ^ _23804) ^ [] : [apart_point_and_line(_25540, _25542)]], -(distinct_points(_25540, intersection_point(_25544, _25542)))], (62 ^ _23804) ^ [_25959, _25961, _25963, _25965] : [distinct_points(_25965, _25963), distinct_lines(_25961, _25959), -(apart_point_and_line(_25965, _25961)), -(apart_point_and_line(_25965, _25959)), -(apart_point_and_line(_25963, _25961)), -(apart_point_and_line(_25963, _25959))], (84 ^ _23804) ^ [_26588, _26590, _26592] : [apart_point_and_line(_26592, _26590), -(distinct_points(_26592, _26588)), -(apart_point_and_line(_26588, _26590))], (104 ^ _23804) ^ [_27202, _27204] : [convergent_lines(_27204, _27202), -(distinct_lines(_27204, _27202))], (94 ^ _23804) ^ [_26912, _26914, _26916] : [apart_point_and_line(_26916, _26914), -(distinct_lines(_26914, _26912)), -(apart_point_and_line(_26916, _26912))]], input).
% 0.35/1.39 ncf('1',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])],start(124 ^ 0)).
% 0.35/1.39 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 109 ^ [])), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 112 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ []))],extension(62 ^ 1,bind([[_25959, _25961, _25963, _25965], [110 ^ [], 109 ^ [], intersection_point(111 ^ [], 112 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.35/1.39 ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 112 ^ []))), convergent_lines(111 ^ [], 112 ^ []), 56 : apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],extension(50 ^ 2,bind([[_25540, _25542, _25544], [intersection_point(109 ^ [], 110 ^ []), 112 ^ [], 111 ^ []]]))).
% 0.35/1.39 ncf('1.1.1.1',plain,[-(convergent_lines(111 ^ [], 112 ^ []))],extension(116 ^ 3)).
% 0.35/1.39 ncf('1.1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ []))],extension(118 ^ 5)).
% 0.35/1.39 ncf('1.1.1.2.1',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 112 ^ [])],extension(58 ^ 6)).
% 0.35/1.39 ncf('1.1.2',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 2,bind([[_24486, _24488, _24490], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 3,bind([[_24486, _24488, _24490], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.1.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 4,bind([[_27202, _27204], [110 ^ [], 109 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(114 ^ 5)).
% 0.35/1.39 ncf('1.1.2.1.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 4,bind([[_23964], [110 ^ []]]))).
% 0.35/1.39 ncf('1.1.2.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 3,bind([[_23964], [110 ^ []]]))).
% 0.35/1.39 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([[_25540, _25542, _25544], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.35/1.39 ncf('1.1.3.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(114 ^ 3)).
% 0.35/1.39 ncf('1.1.3.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23887], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.35/1.39 ncf('1.1.4',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([[_25540, _25542, _25544], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.35/1.39 ncf('1.1.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(114 ^ 3)).
% 0.35/1.39 ncf('1.1.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23887], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.35/1.39 ncf('1.1.5',plain,[apart_point_and_line(intersection_point(111 ^ [], 112 ^ []), 110 ^ [])],extension(126 ^ 2)).
% 0.35/1.39 %-----------------------------------------------------
% 0.35/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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