TSTP Solution File: GEO197+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:12:10 EDT 2023
% Result : Theorem 0.99s 1.35s
% Output : Proof 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.31 % Computer : n017.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Fri May 19 03:52:45 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.99/1.35
% 0.99/1.35 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.99/1.35 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.35 %-----------------------------------------------------
% 0.99/1.35 ncf(matrix, plain, [(113 ^ _23001) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _23001) ^ [] : [-(convergent_lines(111 ^ [], 110 ^ []))], (117 ^ _23001) ^ [] : [-(convergent_lines(109 ^ [], 111 ^ []))], (119 ^ _23001) ^ [] : [apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])], (121 ^ _23001) ^ [] : [-(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ []))], (2 ^ _23001) ^ [_23084] : [distinct_points(_23084, _23084)], (4 ^ _23001) ^ [_23161] : [distinct_lines(_23161, _23161)], (6 ^ _23001) ^ [_23238] : [convergent_lines(_23238, _23238)], (8 ^ _23001) ^ [_23359, _23361, _23363] : [distinct_points(_23363, _23361), -(distinct_points(_23363, _23359)), -(distinct_points(_23361, _23359))], (18 ^ _23001) ^ [_23683, _23685, _23687] : [distinct_lines(_23687, _23685), -(distinct_lines(_23687, _23683)), -(distinct_lines(_23685, _23683))], (28 ^ _23001) ^ [_24007, _24009, _24011] : [convergent_lines(_24011, _24009), -(convergent_lines(_24011, _24007)), -(convergent_lines(_24009, _24007))], (38 ^ _23001) ^ [_24331, _24333, _24335] : [distinct_points(_24335, _24333), apart_point_and_line(_24331, line_connecting(_24335, _24333)), 45 ^ _23001 : [(46 ^ _23001) ^ [] : [-(distinct_points(_24331, _24335))], (48 ^ _23001) ^ [] : [-(distinct_points(_24331, _24333))]]], (50 ^ _23001) ^ [_24737, _24739, _24741] : [convergent_lines(_24741, _24739), 55 ^ _23001 : [(56 ^ _23001) ^ [] : [apart_point_and_line(_24737, _24741)], (58 ^ _23001) ^ [] : [apart_point_and_line(_24737, _24739)]], -(distinct_points(_24737, intersection_point(_24741, _24739)))], (62 ^ _23001) ^ [_25156, _25158, _25160, _25162] : [distinct_points(_25162, _25160), distinct_lines(_25158, _25156), -(apart_point_and_line(_25162, _25158)), -(apart_point_and_line(_25162, _25156)), -(apart_point_and_line(_25160, _25158)), -(apart_point_and_line(_25160, _25156))], (84 ^ _23001) ^ [_25785, _25787, _25789] : [apart_point_and_line(_25789, _25787), -(distinct_points(_25789, _25785)), -(apart_point_and_line(_25785, _25787))], (104 ^ _23001) ^ [_26399, _26401] : [convergent_lines(_26401, _26399), -(distinct_lines(_26401, _26399))], (94 ^ _23001) ^ [_26109, _26111, _26113] : [apart_point_and_line(_26113, _26111), -(distinct_lines(_26111, _26109)), -(apart_point_and_line(_26113, _26109))]], input).
% 0.99/1.35 ncf('1',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])],start(119 ^ 0)).
% 0.99/1.35 ncf('1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ [])), distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])), distinct_lines(111 ^ [], 110 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 111 ^ [])), -(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 110 ^ []))],extension(62 ^ 1,bind([[_25156, _25158, _25160, _25162], [110 ^ [], 111 ^ [], intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.99/1.35 ncf('1.1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))), distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ [])), -(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])))],extension(8 ^ 2,bind([[_23359, _23361, _23363], [intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])]]))).
% 0.99/1.35 ncf('1.1.1.1',plain,[-(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))), convergent_lines(109 ^ [], 110 ^ []), 56 : apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ [])],extension(50 ^ 3,bind([[_24737, _24739, _24741], [intersection_point(111 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.99/1.35 ncf('1.1.1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.99/1.35 ncf('1.1.1.1.2',plain,[-(apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 109 ^ []))],extension(121 ^ 6)).
% 0.99/1.35 ncf('1.1.1.2',plain,[distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23084], [intersection_point(111 ^ [], 110 ^ [])]]))).
% 0.99/1.35 ncf('1.1.2',plain,[-(distinct_lines(111 ^ [], 110 ^ [])), distinct_lines(111 ^ [], 110 ^ []), -(distinct_lines(110 ^ [], 110 ^ []))],extension(18 ^ 2,bind([[_23683, _23685, _23687], [110 ^ [], 110 ^ [], 111 ^ []]]))).
% 0.99/1.35 ncf('1.1.2.1',plain,[-(distinct_lines(111 ^ [], 110 ^ [])), convergent_lines(111 ^ [], 110 ^ [])],extension(104 ^ 3,bind([[_26399, _26401], [110 ^ [], 111 ^ []]]))).
% 0.99/1.35 ncf('1.1.2.1.1',plain,[-(convergent_lines(111 ^ [], 110 ^ []))],extension(115 ^ 4)).
% 0.99/1.35 ncf('1.1.2.2',plain,[distinct_lines(110 ^ [], 110 ^ [])],extension(4 ^ 3,bind([[_23161], [110 ^ []]]))).
% 0.99/1.35 ncf('1.1.3',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([[_24737, _24739, _24741], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 0.99/1.35 ncf('1.1.3.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 0.99/1.35 ncf('1.1.3.2',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23084], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 0.99/1.35 ncf('1.1.4',plain,[apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 111 ^ []), convergent_lines(111 ^ [], 110 ^ []), -(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24737, _24739, _24741], [intersection_point(111 ^ [], 110 ^ []), 110 ^ [], 111 ^ []]]))).
% 0.99/1.35 ncf('1.1.4.1',plain,[-(convergent_lines(111 ^ [], 110 ^ []))],extension(115 ^ 3)).
% 0.99/1.35 ncf('1.1.4.2',plain,[distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23084], [intersection_point(111 ^ [], 110 ^ [])]]))).
% 0.99/1.35 ncf('1.1.5',plain,[apart_point_and_line(intersection_point(111 ^ [], 110 ^ []), 110 ^ []), convergent_lines(111 ^ [], 110 ^ []), -(distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ [])))],extension(50 ^ 2,bind([[_24737, _24739, _24741], [intersection_point(111 ^ [], 110 ^ []), 110 ^ [], 111 ^ []]]))).
% 0.99/1.35 ncf('1.1.5.1',plain,[-(convergent_lines(111 ^ [], 110 ^ []))],extension(115 ^ 3)).
% 0.99/1.35 ncf('1.1.5.2',plain,[distinct_points(intersection_point(111 ^ [], 110 ^ []), intersection_point(111 ^ [], 110 ^ []))],extension(2 ^ 3,bind([[_23084], [intersection_point(111 ^ [], 110 ^ [])]]))).
% 0.99/1.35 %-----------------------------------------------------
% 0.99/1.35 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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