%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:12:12 EDT 2023
% Result : Theorem 2.33s 3.44s
% Output : Proof 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 04:32:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 2.33/3.44
% 2.33/3.44 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.33/3.44 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.33/3.44 %-----------------------------------------------------
% 2.33/3.44 ncf(matrix, plain, [(113 ^ _23384) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _23384) ^ [] : [distinct_lines(110 ^ [], 111 ^ [])], (117 ^ _23384) ^ [] : [convergent_lines(109 ^ [], 111 ^ []), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])))], (2 ^ _23384) ^ [_23467] : [distinct_points(_23467, _23467)], (4 ^ _23384) ^ [_23544] : [distinct_lines(_23544, _23544)], (6 ^ _23384) ^ [_23621] : [convergent_lines(_23621, _23621)], (8 ^ _23384) ^ [_23742, _23744, _23746] : [distinct_points(_23746, _23744), -(distinct_points(_23746, _23742)), -(distinct_points(_23744, _23742))], (18 ^ _23384) ^ [_24066, _24068, _24070] : [distinct_lines(_24070, _24068), -(distinct_lines(_24070, _24066)), -(distinct_lines(_24068, _24066))], (28 ^ _23384) ^ [_24390, _24392, _24394] : [convergent_lines(_24394, _24392), -(convergent_lines(_24394, _24390)), -(convergent_lines(_24392, _24390))], (38 ^ _23384) ^ [_24714, _24716, _24718] : [distinct_points(_24718, _24716), apart_point_and_line(_24714, line_connecting(_24718, _24716)), 45 ^ _23384 : [(46 ^ _23384) ^ [] : [-(distinct_points(_24714, _24718))], (48 ^ _23384) ^ [] : [-(distinct_points(_24714, _24716))]]], (50 ^ _23384) ^ [_25120, _25122, _25124] : [convergent_lines(_25124, _25122), 55 ^ _23384 : [(56 ^ _23384) ^ [] : [apart_point_and_line(_25120, _25124)], (58 ^ _23384) ^ [] : [apart_point_and_line(_25120, _25122)]], -(distinct_points(_25120, intersection_point(_25124, _25122)))], (62 ^ _23384) ^ [_25539, _25541, _25543, _25545] : [distinct_points(_25545, _25543), distinct_lines(_25541, _25539), -(apart_point_and_line(_25545, _25541)), -(apart_point_and_line(_25545, _25539)), -(apart_point_and_line(_25543, _25541)), -(apart_point_and_line(_25543, _25539))], (84 ^ _23384) ^ [_26168, _26170, _26172] : [apart_point_and_line(_26172, _26170), -(distinct_points(_26172, _26168)), -(apart_point_and_line(_26168, _26170))], (104 ^ _23384) ^ [_26782, _26784] : [convergent_lines(_26784, _26782), -(distinct_lines(_26784, _26782))], (94 ^ _23384) ^ [_26492, _26494, _26496] : [apart_point_and_line(_26496, _26494), -(distinct_lines(_26494, _26492)), -(apart_point_and_line(_26496, _26492))]], input).
% 2.33/3.44 ncf('1',plain,[distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))],start(2 ^ 0,bind([[_23467], [intersection_point(109 ^ [], 111 ^ [])]]))).
% 2.33/3.44 ncf('1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 111 ^ []))), convergent_lines(109 ^ [], 111 ^ []), 56 : apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ [])],extension(50 ^ 1,bind([[_25120, _25122, _25124], [intersection_point(109 ^ [], 111 ^ []), 111 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.1',plain,[-(convergent_lines(109 ^ [], 111 ^ [])), convergent_lines(109 ^ [], 110 ^ []), -(convergent_lines(110 ^ [], 111 ^ []))],extension(28 ^ 2,bind([[_24390, _24392, _24394], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 2.33/3.44 ncf('1.1.1.2',plain,[convergent_lines(110 ^ [], 111 ^ []), -(convergent_lines(110 ^ [], 111 ^ [])), -(convergent_lines(111 ^ [], 111 ^ []))],extension(28 ^ 3,bind([[_24390, _24392, _24394], [111 ^ [], 111 ^ [], 110 ^ []]]))).
% 2.33/3.44 ncf('1.1.1.2.1',plain,[convergent_lines(110 ^ [], 111 ^ []), -(distinct_lines(110 ^ [], 111 ^ []))],extension(104 ^ 4,bind([[_26782, _26784], [111 ^ [], 110 ^ []]]))).
% 2.33/3.44 ncf('1.1.1.2.1.1',plain,[distinct_lines(110 ^ [], 111 ^ [])],extension(115 ^ 5)).
% 2.33/3.44 ncf('1.1.1.2.2',plain,[convergent_lines(111 ^ [], 111 ^ [])],extension(6 ^ 4,bind([[_23621], [111 ^ []]]))).
% 2.33/3.44 ncf('1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 109 ^ [])), distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 4,bind([[_25539, _25541, _25543, _25545], [110 ^ [], 109 ^ [], intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])]]))).
% 2.33/3.44 ncf('1.1.2.1',plain,[-(distinct_points(intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ []))), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ [])), -(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])))],extension(8 ^ 5,bind([[_23742, _23744, _23746], [intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 2.33/3.44 ncf('1.1.2.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 111 ^ []))), convergent_lines(109 ^ [], 111 ^ [])],extension(117 ^ 6)).
% 2.33/3.44 ncf('1.1.2.1.1.1',plain,[-(convergent_lines(109 ^ [], 111 ^ []))],lemmata('[1].x')).
% 2.33/3.44 ncf('1.1.2.1.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 6,bind([[_23467], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 2.33/3.44 ncf('1.1.2.2',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), distinct_lines(109 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 5,bind([[_24066, _24068, _24070], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.2.2.1',plain,[-(distinct_lines(109 ^ [], 110 ^ [])), convergent_lines(109 ^ [], 110 ^ [])],extension(104 ^ 6,bind([[_26782, _26784], [110 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.2.2.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 7)).
% 2.33/3.44 ncf('1.1.2.2.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 6,bind([[_23544], [110 ^ []]]))).
% 2.33/3.44 ncf('1.1.2.3',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 110 ^ []), -(distinct_lines(110 ^ [], 111 ^ [])), -(apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 111 ^ []))],extension(94 ^ 5,bind([[_26492, _26494, _26496], [111 ^ [], 110 ^ [], intersection_point(109 ^ [], 111 ^ [])]]))).
% 2.33/3.44 ncf('1.1.2.3.1',plain,[distinct_lines(110 ^ [], 111 ^ [])],extension(115 ^ 6)).
% 2.33/3.44 ncf('1.1.2.3.2',plain,[apart_point_and_line(intersection_point(109 ^ [], 111 ^ []), 111 ^ [])],extension(58 ^ 6)).
% 2.33/3.44 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 ^ 5,bind([[_25120, _25122, _25124], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.2.4.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 6)).
% 2.33/3.44 ncf('1.1.2.4.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 6,bind([[_23467], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 2.33/3.44 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 ^ 5,bind([[_25120, _25122, _25124], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 2.33/3.44 ncf('1.1.2.5.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 6)).
% 2.33/3.44 ncf('1.1.2.5.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 6,bind([[_23467], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 2.33/3.44 %-----------------------------------------------------
% 2.33/3.44 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------