TSTP Solution File: GEO204+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO204+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:12:12 EDT 2023
% Result : Theorem 0.34s 1.39s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO204+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n031.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 04:42:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.39
% 0.34/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 ncf(matrix, plain, [(113 ^ _22624) ^ [] : [-(distinct_points(109 ^ [], 110 ^ []))], (115 ^ _22624) ^ [] : [distinct_points(110 ^ [], 111 ^ [])], (117 ^ _22624) ^ [] : [distinct_points(109 ^ [], 111 ^ []), -(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])))], (2 ^ _22624) ^ [_22707] : [distinct_points(_22707, _22707)], (4 ^ _22624) ^ [_22784] : [distinct_lines(_22784, _22784)], (6 ^ _22624) ^ [_22861] : [convergent_lines(_22861, _22861)], (8 ^ _22624) ^ [_22982, _22984, _22986] : [distinct_points(_22986, _22984), -(distinct_points(_22986, _22982)), -(distinct_points(_22984, _22982))], (18 ^ _22624) ^ [_23306, _23308, _23310] : [distinct_lines(_23310, _23308), -(distinct_lines(_23310, _23306)), -(distinct_lines(_23308, _23306))], (28 ^ _22624) ^ [_23630, _23632, _23634] : [convergent_lines(_23634, _23632), -(convergent_lines(_23634, _23630)), -(convergent_lines(_23632, _23630))], (38 ^ _22624) ^ [_23954, _23956, _23958] : [distinct_points(_23958, _23956), apart_point_and_line(_23954, line_connecting(_23958, _23956)), 45 ^ _22624 : [(46 ^ _22624) ^ [] : [-(distinct_points(_23954, _23958))], (48 ^ _22624) ^ [] : [-(distinct_points(_23954, _23956))]]], (50 ^ _22624) ^ [_24360, _24362, _24364] : [convergent_lines(_24364, _24362), 55 ^ _22624 : [(56 ^ _22624) ^ [] : [apart_point_and_line(_24360, _24364)], (58 ^ _22624) ^ [] : [apart_point_and_line(_24360, _24362)]], -(distinct_points(_24360, intersection_point(_24364, _24362)))], (62 ^ _22624) ^ [_24779, _24781, _24783, _24785] : [distinct_points(_24785, _24783), distinct_lines(_24781, _24779), -(apart_point_and_line(_24785, _24781)), -(apart_point_and_line(_24785, _24779)), -(apart_point_and_line(_24783, _24781)), -(apart_point_and_line(_24783, _24779))], (84 ^ _22624) ^ [_25408, _25410, _25412] : [apart_point_and_line(_25412, _25410), -(distinct_points(_25412, _25408)), -(apart_point_and_line(_25408, _25410))], (104 ^ _22624) ^ [_26022, _26024] : [convergent_lines(_26024, _26022), -(distinct_lines(_26024, _26022))], (94 ^ _22624) ^ [_25732, _25734, _25736] : [apart_point_and_line(_25736, _25734), -(distinct_lines(_25734, _25732)), -(apart_point_and_line(_25736, _25732))]], input).
% 0.34/1.39 ncf('1',plain,[distinct_points(110 ^ [], 111 ^ [])],start(115 ^ 0)).
% 0.34/1.39 ncf('1.1',plain,[-(distinct_points(110 ^ [], 111 ^ [])), distinct_points(109 ^ [], 111 ^ []), apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 111 ^ []))],extension(38 ^ 1,bind([[_23954, _23956, _23958], [110 ^ [], 111 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.1',plain,[-(distinct_points(109 ^ [], 111 ^ [])), distinct_points(109 ^ [], 110 ^ []), -(distinct_points(110 ^ [], 111 ^ []))],extension(8 ^ 2,bind([[_22982, _22984, _22986], [111 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 3)).
% 0.34/1.39 ncf('1.1.1.2',plain,[distinct_points(110 ^ [], 111 ^ [])],reduction('1')).
% 0.34/1.39 ncf('1.1.2',plain,[-(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 111 ^ []))), distinct_points(110 ^ [], 109 ^ []), distinct_lines(line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])), -(apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 111 ^ []))), -(apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])))],extension(62 ^ 2,bind([[_24779, _24781, _24783, _24785], [line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []), 109 ^ [], 110 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.1',plain,[-(distinct_points(110 ^ [], 109 ^ [])), distinct_points(109 ^ [], 110 ^ []), -(distinct_points(109 ^ [], 109 ^ []))],extension(8 ^ 3,bind([[_22982, _22984, _22986], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.1.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.34/1.39 ncf('1.1.2.1.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 4,bind([[_22707], [109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.2',plain,[-(distinct_lines(line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ []))), distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ [])), -(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ [])))],extension(18 ^ 3,bind([[_23306, _23308, _23310], [line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []), line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.34/1.39 ncf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 111 ^ []))), distinct_points(109 ^ [], 111 ^ [])],extension(117 ^ 4)).
% 0.34/1.39 ncf('1.1.2.2.1.1',plain,[-(distinct_points(109 ^ [], 111 ^ []))],lemmata('[1].x')).
% 0.34/1.39 ncf('1.1.2.2.2',plain,[distinct_lines(line_connecting(109 ^ [], 110 ^ []), line_connecting(109 ^ [], 110 ^ []))],extension(4 ^ 4,bind([[_22784], [line_connecting(109 ^ [], 110 ^ [])]]))).
% 0.34/1.39 ncf('1.1.2.3',plain,[apart_point_and_line(110 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 48 : -(distinct_points(110 ^ [], 110 ^ []))],extension(38 ^ 3,bind([[_23954, _23956, _23958], [110 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.3.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.34/1.39 ncf('1.1.2.3.2',plain,[distinct_points(110 ^ [], 110 ^ [])],extension(2 ^ 6,bind([[_22707], [110 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.4',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 111 ^ [])), distinct_points(109 ^ [], 111 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_23954, _23956, _23958], [109 ^ [], 111 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.4.1',plain,[-(distinct_points(109 ^ [], 111 ^ []))],lemmata('[1].x')).
% 0.34/1.39 ncf('1.1.2.4.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 6,bind([[_22707], [109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.5',plain,[apart_point_and_line(109 ^ [], line_connecting(109 ^ [], 110 ^ [])), distinct_points(109 ^ [], 110 ^ []), 46 : -(distinct_points(109 ^ [], 109 ^ []))],extension(38 ^ 3,bind([[_23954, _23956, _23958], [109 ^ [], 110 ^ [], 109 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.5.1',plain,[-(distinct_points(109 ^ [], 110 ^ []))],extension(113 ^ 4)).
% 0.34/1.39 ncf('1.1.2.5.2',plain,[distinct_points(109 ^ [], 109 ^ [])],extension(2 ^ 6,bind([[_22707], [109 ^ []]]))).
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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