TSTP Solution File: GEO174+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO174+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:12:03 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO174+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n019.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 04:32:42 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, [(124 ^ _22426) ^ [] : [distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))], (114 ^ _22426) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (116 ^ _22426) ^ [] : [-(convergent_lines(111 ^ [], 112 ^ []))], (118 ^ _22426) ^ [] : [-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))], (2 ^ _22426) ^ [_22509] : [distinct_points(_22509, _22509)], (4 ^ _22426) ^ [_22586] : [distinct_lines(_22586, _22586)], (6 ^ _22426) ^ [_22663] : [convergent_lines(_22663, _22663)], (8 ^ _22426) ^ [_22784, _22786, _22788] : [distinct_points(_22788, _22786), -(distinct_points(_22788, _22784)), -(distinct_points(_22786, _22784))], (18 ^ _22426) ^ [_23108, _23110, _23112] : [distinct_lines(_23112, _23110), -(distinct_lines(_23112, _23108)), -(distinct_lines(_23110, _23108))], (28 ^ _22426) ^ [_23432, _23434, _23436] : [convergent_lines(_23436, _23434), -(convergent_lines(_23436, _23432)), -(convergent_lines(_23434, _23432))], (38 ^ _22426) ^ [_23756, _23758, _23760] : [distinct_points(_23760, _23758), apart_point_and_line(_23756, line_connecting(_23760, _23758)), 45 ^ _22426 : [(46 ^ _22426) ^ [] : [-(distinct_points(_23756, _23760))], (48 ^ _22426) ^ [] : [-(distinct_points(_23756, _23758))]]], (50 ^ _22426) ^ [_24162, _24164, _24166] : [convergent_lines(_24166, _24164), 55 ^ _22426 : [(56 ^ _22426) ^ [] : [apart_point_and_line(_24162, _24166)], (58 ^ _22426) ^ [] : [apart_point_and_line(_24162, _24164)]], -(distinct_points(_24162, intersection_point(_24166, _24164)))], (62 ^ _22426) ^ [_24581, _24583, _24585, _24587] : [distinct_points(_24587, _24585), distinct_lines(_24583, _24581), -(apart_point_and_line(_24587, _24583)), -(apart_point_and_line(_24587, _24581)), -(apart_point_and_line(_24585, _24583)), -(apart_point_and_line(_24585, _24581))], (84 ^ _22426) ^ [_25210, _25212, _25214] : [apart_point_and_line(_25214, _25212), -(distinct_points(_25214, _25210)), -(apart_point_and_line(_25210, _25212))], (104 ^ _22426) ^ [_25824, _25826] : [convergent_lines(_25826, _25824), -(distinct_lines(_25826, _25824))], (94 ^ _22426) ^ [_25534, _25536, _25538] : [apart_point_and_line(_25538, _25536), -(distinct_lines(_25536, _25534)), -(apart_point_and_line(_25538, _25534))]], input).
% 0.34/1.38 ncf('1',plain,[distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],start(124 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(110 ^ [], 111 ^ []), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 1,bind([[_25534, _25536, _25538], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 110 ^ []]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(apart_point_and_line(110 ^ [], 111 ^ [])), apart_point_and_line(109 ^ [], 111 ^ []), -(distinct_points(109 ^ [], 110 ^ []))],extension(84 ^ 2,bind([[_25210, _25212, _25214], [110 ^ [], 111 ^ [], 109 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))],extension(118 ^ 3)).
% 0.34/1.38 ncf('1.1.1.1.1',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],reduction('1.1')).
% 0.34/1.38 ncf('1.1.1.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_23756, _23758, _23760], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2.1',plain,[-(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ []))), apart_point_and_line(109 ^ [], 111 ^ []), -(distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(94 ^ 4,bind([[_25534, _25536, _25538], [line_connecting(109 ^ [], 110 ^ []), 111 ^ [], 109 ^ []]]))).
% 0.34/1.38 ncf('1.1.1.2.1.1',plain,[-(apart_point_and_line(109 ^ [], 111 ^ [])), -(apart_point_and_line(110 ^ [], 111 ^ []))],extension(118 ^ 5)).
% 0.34/1.38 ncf('1.1.1.2.1.1.1',plain,[apart_point_and_line(110 ^ [], 111 ^ [])],reduction('1.1')).
% 0.34/1.38 ncf('1.1.1.2.1.2',plain,[distinct_lines(111 ^ [], line_connecting(109 ^ [], 110 ^ []))],reduction('1')).
% 0.34/1.38 ncf('1.1.1.2.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 6,bind([[_22509], [109 ^ []]]))).
% 0.34/1.38 ncf('1.1.2',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(110 ^ [], 109 ^ []))],extension(38 ^ 2,bind([[_23756, _23758, _23760], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(114 ^ 3)).
% 0.34/1.38 ncf('1.1.2.2',plain,[distinct_points(110 ^ [], 109 ^ []), -(distinct_points(110 ^ [], 110 ^ [])), -(distinct_points(109 ^ [], 110 ^ []))],extension(8 ^ 5,bind([[_22784, _22786, _22788], [110 ^ [], 109 ^ [], 110 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.1',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_22509], [110 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.2',plain,[distinct_points(109 ^ [], 110 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 6,bind([[_23756, _23758, _23760], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.38 ncf('1.1.2.2.2.1',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])))],reduction('1.1')).
% 0.34/1.38 ncf('1.1.2.2.2.2',plain,[distinct_points(110 ^ [], 110 ^ [])],lemmata('[2, 1, 1].x')).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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