TSTP Solution File: GEO181+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:12:05 EDT 2023
% Result : Theorem 0.49s 1.39s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.13 % Command : nanocop.sh %s %d
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 19 04:32:45 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.49/1.39
% 0.49/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.49/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.39 %-----------------------------------------------------
% 0.49/1.39 ncf(matrix, plain, [(117 ^ _23148) ^ [] : [-(distinct_points(113 ^ [], 114 ^ []))], (119 ^ _23148) ^ [] : [-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))], (121 ^ _23148) ^ [] : [apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 115 ^ []))], (2 ^ _23148) ^ [_23231] : [distinct_points(_23231, _23231)], (4 ^ _23148) ^ [_23308] : [distinct_lines(_23308, _23308)], (6 ^ _23148) ^ [_23385] : [convergent_lines(_23385, _23385)], (8 ^ _23148) ^ [_23506, _23508, _23510] : [distinct_points(_23510, _23508), -(distinct_points(_23510, _23506)), -(distinct_points(_23508, _23506))], (18 ^ _23148) ^ [_23830, _23832, _23834] : [distinct_lines(_23834, _23832), -(distinct_lines(_23834, _23830)), -(distinct_lines(_23832, _23830))], (28 ^ _23148) ^ [_24154, _24156, _24158] : [convergent_lines(_24158, _24156), -(convergent_lines(_24158, _24154)), -(convergent_lines(_24156, _24154))], (38 ^ _23148) ^ [_24464, _24466] : [distinct_points(_24466, _24464), apart_point_and_line(_24466, line_connecting(_24466, _24464))], (44 ^ _23148) ^ [_24681, _24683] : [distinct_points(_24683, _24681), apart_point_and_line(_24681, line_connecting(_24683, _24681))], (50 ^ _23148) ^ [_24898, _24900] : [convergent_lines(_24900, _24898), apart_point_and_line(intersection_point(_24900, _24898), _24900)], (56 ^ _23148) ^ [_25115, _25117] : [convergent_lines(_25117, _25115), apart_point_and_line(intersection_point(_25117, _25115), _25115)], (62 ^ _23148) ^ [_25360, _25362, _25364, _25366] : [distinct_points(_25366, _25364), distinct_lines(_25362, _25360), -(apart_point_and_line(_25366, _25362)), -(apart_point_and_line(_25366, _25360)), -(apart_point_and_line(_25364, _25362)), -(apart_point_and_line(_25364, _25360))], (84 ^ _23148) ^ [_25989, _25991, _25993] : [apart_point_and_line(_25993, _25991), -(distinct_points(_25993, _25989)), -(apart_point_and_line(_25989, _25991))], (94 ^ _23148) ^ [_26313, _26315, _26317] : [apart_point_and_line(_26317, _26315), -(distinct_lines(_26315, _26313)), -(apart_point_and_line(_26317, _26313))], (104 ^ _23148) ^ [_26617, _26619, _26621] : [convergent_lines(_26621, _26619), -(distinct_lines(_26619, _26617)), -(convergent_lines(_26621, _26617))]], input).
% 0.49/1.39 ncf('1',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 115 ^ []))],start(121 ^ 0)).
% 0.49/1.39 ncf('1.1',plain,[-(apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 115 ^ []))), apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ [])), -(distinct_points(113 ^ [], 114 ^ []))],extension(84 ^ 1,bind([[_25989, _25991, _25993], [114 ^ [], line_connecting(113 ^ [], 115 ^ []), 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ []))), distinct_points(113 ^ [], 114 ^ []), distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ [])), -(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(113 ^ [], 115 ^ [])))],extension(62 ^ 2,bind([[_25360, _25362, _25364, _25366], [line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ []), 114 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],extension(117 ^ 3)).
% 0.49/1.39 ncf('1.1.1.2',plain,[-(distinct_lines(line_connecting(113 ^ [], 114 ^ []), line_connecting(113 ^ [], 115 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 115 ^ [])))],extension(94 ^ 3,bind([[_26313, _26315, _26317], [line_connecting(113 ^ [], 115 ^ []), line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.2.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(119 ^ 4)).
% 0.49/1.39 ncf('1.1.1.2.2',plain,[apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 115 ^ [])), distinct_points(113 ^ [], 115 ^ [])],extension(44 ^ 4,bind([[_24681, _24683], [115 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.2.2.1',plain,[-(distinct_points(113 ^ [], 115 ^ [])), distinct_points(115 ^ [], 113 ^ []), -(distinct_points(115 ^ [], 115 ^ []))],extension(8 ^ 5,bind([[_23506, _23508, _23510], [115 ^ [], 113 ^ [], 115 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.2.2.1.1',plain,[-(distinct_points(115 ^ [], 113 ^ [])), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 115 ^ [])), -(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ [])))],extension(84 ^ 6,bind([[_25989, _25991, _25993], [113 ^ [], line_connecting(113 ^ [], 115 ^ []), 115 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.2.2.1.1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 115 ^ [])))],reduction('1.1.1.2')).
% 0.49/1.39 ncf('1.1.1.2.2.1.1.2',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ []))],reduction('1.1')).
% 0.49/1.39 ncf('1.1.1.2.2.1.2',plain,[distinct_points(115 ^ [], 115 ^ [])],extension(2 ^ 6,bind([[_23231], [115 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.3',plain,[apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(38 ^ 3,bind([[_24464, _24466], [114 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.3.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1, 1].x')).
% 0.49/1.39 ncf('1.1.1.4',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 114 ^ [])), distinct_points(113 ^ [], 114 ^ [])],extension(44 ^ 3,bind([[_24681, _24683], [114 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.1.4.1',plain,[-(distinct_points(113 ^ [], 114 ^ []))],lemmata('[1, 1].x')).
% 0.49/1.39 ncf('1.1.1.5',plain,[apart_point_and_line(114 ^ [], line_connecting(113 ^ [], 115 ^ []))],reduction('1')).
% 0.49/1.39 ncf('1.1.2',plain,[distinct_points(113 ^ [], 114 ^ []), apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))],extension(38 ^ 2,bind([[_24464, _24466], [114 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.2.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 114 ^ []))), apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])), -(distinct_points(115 ^ [], 113 ^ []))],extension(84 ^ 3,bind([[_25989, _25991, _25993], [113 ^ [], line_connecting(113 ^ [], 114 ^ []), 115 ^ []]]))).
% 0.49/1.39 ncf('1.1.2.1.1',plain,[-(apart_point_and_line(115 ^ [], line_connecting(113 ^ [], 114 ^ [])))],extension(119 ^ 4)).
% 0.49/1.39 ncf('1.1.2.1.2',plain,[distinct_points(115 ^ [], 113 ^ []), -(distinct_points(115 ^ [], 115 ^ [])), -(distinct_points(113 ^ [], 115 ^ []))],extension(8 ^ 4,bind([[_23506, _23508, _23510], [115 ^ [], 113 ^ [], 115 ^ []]]))).
% 0.49/1.39 ncf('1.1.2.1.2.1',plain,[distinct_points(115 ^ [], 115 ^ [])],extension(2 ^ 5,bind([[_23231], [115 ^ []]]))).
% 0.49/1.39 ncf('1.1.2.1.2.2',plain,[distinct_points(113 ^ [], 115 ^ []), apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ []))],extension(38 ^ 5,bind([[_24464, _24466], [115 ^ [], 113 ^ []]]))).
% 0.49/1.39 ncf('1.1.2.1.2.2.1',plain,[-(apart_point_and_line(113 ^ [], line_connecting(113 ^ [], 115 ^ [])))],lemmata('[1].x')).
% 0.49/1.39 %-----------------------------------------------------
% 0.49/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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