TSTP Solution File: GEO187+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO187+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 11:12:07 EDT 2023
% Result : Theorem 0.39s 1.38s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % 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 04:51:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.39/1.38
% 0.39/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.38 %-----------------------------------------------------
% 0.39/1.38 ncf(matrix, plain, [(114 ^ _25066) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _25066) ^ [] : [-(distinct_points(111 ^ [], 112 ^ []))], (118 ^ _25066) ^ [] : [apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))], (120 ^ _25066) ^ [] : [apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ []))], (122 ^ _25066) ^ [] : [-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ [])))], (2 ^ _25066) ^ [_25149] : [distinct_points(_25149, _25149)], (4 ^ _25066) ^ [_25226] : [distinct_lines(_25226, _25226)], (6 ^ _25066) ^ [_25303] : [convergent_lines(_25303, _25303)], (8 ^ _25066) ^ [_25424, _25426, _25428] : [distinct_points(_25428, _25426), -(distinct_points(_25428, _25424)), -(distinct_points(_25426, _25424))], (18 ^ _25066) ^ [_25748, _25750, _25752] : [distinct_lines(_25752, _25750), -(distinct_lines(_25752, _25748)), -(distinct_lines(_25750, _25748))], (28 ^ _25066) ^ [_26072, _26074, _26076] : [convergent_lines(_26076, _26074), -(convergent_lines(_26076, _26072)), -(convergent_lines(_26074, _26072))], (38 ^ _25066) ^ [_26396, _26398, _26400] : [distinct_points(_26400, _26398), apart_point_and_line(_26396, line_connecting(_26400, _26398)), 45 ^ _25066 : [(46 ^ _25066) ^ [] : [-(distinct_points(_26396, _26400))], (48 ^ _25066) ^ [] : [-(distinct_points(_26396, _26398))]]], (50 ^ _25066) ^ [_26802, _26804, _26806] : [convergent_lines(_26806, _26804), 55 ^ _25066 : [(56 ^ _25066) ^ [] : [apart_point_and_line(_26802, _26806)], (58 ^ _25066) ^ [] : [apart_point_and_line(_26802, _26804)]], -(distinct_points(_26802, intersection_point(_26806, _26804)))], (62 ^ _25066) ^ [_27221, _27223, _27225, _27227] : [distinct_points(_27227, _27225), distinct_lines(_27223, _27221), -(apart_point_and_line(_27227, _27223)), -(apart_point_and_line(_27227, _27221)), -(apart_point_and_line(_27225, _27223)), -(apart_point_and_line(_27225, _27221))], (84 ^ _25066) ^ [_27850, _27852, _27854] : [apart_point_and_line(_27854, _27852), -(distinct_points(_27854, _27850)), -(apart_point_and_line(_27850, _27852))], (104 ^ _25066) ^ [_28464, _28466] : [convergent_lines(_28466, _28464), -(distinct_lines(_28466, _28464))], (94 ^ _25066) ^ [_28174, _28176, _28178] : [apart_point_and_line(_28178, _28176), -(distinct_lines(_28176, _28174)), -(apart_point_and_line(_28178, _28174))]], input).
% 0.39/1.38 ncf('1',plain,[apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))],start(118 ^ 0)).
% 0.39/1.38 ncf('1.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(111 ^ [], 112 ^ []))), distinct_points(109 ^ [], 110 ^ []), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ [])), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ [])))],extension(62 ^ 1,bind([[_27221, _27223, _27225, _27227], [line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.39/1.38 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(114 ^ 2)).
% 0.39/1.38 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ []))), apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])))],extension(94 ^ 2,bind([[_28174, _28176, _28178], [line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ []), 112 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.1',plain,[-(apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(distinct_points(111 ^ [], 112 ^ []))],extension(84 ^ 3,bind([[_27850, _27852, _27854], [112 ^ [], line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(122 ^ 4)).
% 0.39/1.38 ncf('1.1.2.1.1.1',plain,[apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ []))],reduction('1.1.2')).
% 0.39/1.38 ncf('1.1.2.1.2',plain,[distinct_points(111 ^ [], 112 ^ []), apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 112 ^ [])), 46 : -(distinct_points(111 ^ [], 111 ^ []))],extension(38 ^ 4,bind([[_26396, _26398, _26400], [111 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.1.2.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(111 ^ [], 112 ^ []))), apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ [])), -(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ [])))],extension(94 ^ 5,bind([[_28174, _28176, _28178], [line_connecting(111 ^ [], 112 ^ []), line_connecting(109 ^ [], 110 ^ []), 111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.1.2.1.1',plain,[-(apart_point_and_line(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(122 ^ 6)).
% 0.39/1.38 ncf('1.1.2.1.2.1.1.1',plain,[apart_point_and_line(112 ^ [], line_connecting(109 ^ [], 110 ^ []))],reduction('1.1.2')).
% 0.39/1.38 ncf('1.1.2.1.2.1.2',plain,[distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(111 ^ [], 112 ^ []))],reduction('1.1')).
% 0.39/1.38 ncf('1.1.2.1.2.2',plain,[distinct_points(111 ^ [], 111 ^ [])],extension(2 ^ 7,bind([[_25149], [111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.2',plain,[apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])), distinct_points(111 ^ [], 112 ^ []), 46 : -(distinct_points(112 ^ [], 111 ^ []))],extension(38 ^ 3,bind([[_26396, _26398, _26400], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.2.1',plain,[-(distinct_points(111 ^ [], 112 ^ []))],extension(116 ^ 4)).
% 0.39/1.38 ncf('1.1.2.2.2',plain,[distinct_points(112 ^ [], 111 ^ []), -(distinct_points(112 ^ [], 112 ^ [])), -(distinct_points(111 ^ [], 112 ^ []))],extension(8 ^ 6,bind([[_25424, _25426, _25428], [112 ^ [], 111 ^ [], 112 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.2.2.1',plain,[distinct_points(112 ^ [], 112 ^ [])],extension(2 ^ 7,bind([[_25149], [112 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.2.2.2',plain,[distinct_points(111 ^ [], 112 ^ []), apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])), 48 : -(distinct_points(112 ^ [], 112 ^ []))],extension(38 ^ 7,bind([[_26396, _26398, _26400], [112 ^ [], 112 ^ [], 111 ^ []]]))).
% 0.39/1.38 ncf('1.1.2.2.2.2.1',plain,[-(apart_point_and_line(112 ^ [], line_connecting(111 ^ [], 112 ^ [])))],reduction('1.1.2')).
% 0.39/1.38 ncf('1.1.2.2.2.2.2',plain,[distinct_points(112 ^ [], 112 ^ [])],lemmata('[2, 2, 1, 1].x')).
% 0.39/1.38 ncf('1.1.3',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_26396, _26398, _26400], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.38 ncf('1.1.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.39/1.38 ncf('1.1.3.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 5,bind([[_25149], [109 ^ []]]))).
% 0.39/1.38 ncf('1.1.4',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_26396, _26398, _26400], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.38 ncf('1.1.4.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],lemmata('[1].x')).
% 0.39/1.38 ncf('1.1.4.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_25424, _25426, _25428], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.39/1.38 ncf('1.1.4.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_25149], [110 ^ []]]))).
% 0.39/1.38 ncf('1.1.4.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_26396, _26398, _26400], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.39/1.38 ncf('1.1.4.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1')).
% 0.39/1.38 ncf('1.1.4.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[4, 1, 1].x')).
% 0.39/1.38 ncf('1.1.5',plain,[apart_point_and_line(110 ^ [], line_connecting(111 ^ [], 112 ^ []))],extension(120 ^ 2)).
% 0.39/1.38 %-----------------------------------------------------
% 0.39/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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