TSTP Solution File: GEO187+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 19 04:18:49 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(118 ^ _24230) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (120 ^ _24230) ^ [] : [-(distinct_points(115 ^ [], 116 ^ []))], (122 ^ _24230) ^ [] : [apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ []))], (124 ^ _24230) ^ [] : [apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ []))], (126 ^ _24230) ^ [] : [-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ [])))], (2 ^ _24230) ^ [_24313] : [distinct_points(_24313, _24313)], (4 ^ _24230) ^ [_24390] : [distinct_lines(_24390, _24390)], (6 ^ _24230) ^ [_24467] : [convergent_lines(_24467, _24467)], (8 ^ _24230) ^ [_24588, _24590, _24592] : [distinct_points(_24592, _24590), -(distinct_points(_24592, _24588)), -(distinct_points(_24590, _24588))], (18 ^ _24230) ^ [_24912, _24914, _24916] : [distinct_lines(_24916, _24914), -(distinct_lines(_24916, _24912)), -(distinct_lines(_24914, _24912))], (28 ^ _24230) ^ [_25236, _25238, _25240] : [convergent_lines(_25240, _25238), -(convergent_lines(_25240, _25236)), -(convergent_lines(_25238, _25236))], (38 ^ _24230) ^ [_25546, _25548] : [distinct_points(_25548, _25546), apart_point_and_line(_25548, line_connecting(_25548, _25546))], (44 ^ _24230) ^ [_25763, _25765] : [distinct_points(_25765, _25763), apart_point_and_line(_25763, line_connecting(_25765, _25763))], (50 ^ _24230) ^ [_25980, _25982] : [convergent_lines(_25982, _25980), apart_point_and_line(intersection_point(_25982, _25980), _25982)], (56 ^ _24230) ^ [_26197, _26199] : [convergent_lines(_26199, _26197), apart_point_and_line(intersection_point(_26199, _26197), _26197)], (62 ^ _24230) ^ [_26442, _26444, _26446, _26448] : [distinct_points(_26448, _26446), distinct_lines(_26444, _26442), -(apart_point_and_line(_26448, _26444)), -(apart_point_and_line(_26448, _26442)), -(apart_point_and_line(_26446, _26444)), -(apart_point_and_line(_26446, _26442))], (84 ^ _24230) ^ [_27071, _27073, _27075] : [apart_point_and_line(_27075, _27073), -(distinct_points(_27075, _27071)), -(apart_point_and_line(_27071, _27073))], (94 ^ _24230) ^ [_27395, _27397, _27399] : [apart_point_and_line(_27399, _27397), -(distinct_lines(_27397, _27395)), -(apart_point_and_line(_27399, _27395))], (104 ^ _24230) ^ [_27699, _27701, _27703] : [convergent_lines(_27703, _27701), -(distinct_lines(_27701, _27699)), -(convergent_lines(_27703, _27699))]], input).
% 0.36/1.37 ncf('1',plain,[apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ []))],start(122 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(115 ^ [], 116 ^ []))), distinct_points(113 ^ [], 114 ^ []), distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ [])), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ [])))],extension(62 ^ 1,bind([[_26442, _26444, _26446, _26448], [line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []), 114 ^ [], 113 ^ []]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(118 ^ 2)).
% 0.36/1.37 ncf('1.1.2',plain,[-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 116 ^ [])))],extension(94 ^ 2,bind([[_27395, _27397, _27399], [line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.36/1.37 ncf('1.1.2.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ []))), -(apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(126 ^ 3)).
% 0.36/1.37 ncf('1.1.2.1.1',plain,[apart_point_and_line(116 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []))), -(apart_point_and_line(116 ^ [], line_connecting(115 ^ [], 116 ^ [])))],extension(94 ^ 4,bind([[_27395, _27397, _27399], [line_connecting(115 ^ [], 116 ^ []), line_connecting(113 ^ [], 114 ^ []), 116 ^ []]]))).
% 0.36/1.37 ncf('1.1.2.1.1.1',plain,[distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(115 ^ [], 116 ^ []))],reduction('1.1')).
% 0.36/1.37 ncf('1.1.2.1.1.2',plain,[apart_point_and_line(116 ^ [], line_connecting(115 ^ [], 116 ^ [])), distinct_points(115 ^ [], 116 ^ [])],extension(44 ^ 5,bind([[_25763, _25765], [116 ^ [], 115 ^ []]]))).
% 0.36/1.37 ncf('1.1.2.1.1.2.1',plain,[-(distinct_points(115 ^ [], 116 ^ []))],extension(120 ^ 6)).
% 0.36/1.37 ncf('1.1.2.2',plain,[apart_point_and_line(115 ^ [], line_connecting(115 ^ [], 116 ^ [])), distinct_points(115 ^ [], 116 ^ [])],extension(38 ^ 3,bind([[_25546, _25548], [116 ^ [], 115 ^ []]]))).
% 0.36/1.37 ncf('1.1.2.2.1',plain,[-(distinct_points(115 ^ [], 116 ^ []))],extension(120 ^ 4)).
% 0.36/1.37 ncf('1.1.3',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 2,bind([[_25546, _25548], [114 ^ [], 113 ^ []]]))).
% 0.36/1.37 ncf('1.1.3.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.36/1.37 ncf('1.1.4',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 2,bind([[_25763, _25765], [114 ^ [], 113 ^ []]]))).
% 0.36/1.37 ncf('1.1.4.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1].x')).
% 0.36/1.37 ncf('1.1.5',plain,[apart_point_and_line(114 ^ [], line_connecting(115 ^ [], 116 ^ []))],extension(124 ^ 2)).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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