TSTP Solution File: GEO192+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GEO192+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:12:08 EDT 2023
% Result : Theorem 4.37s 4.47s
% Output : Proof 4.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO192+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 04:26:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.37/4.47
% 4.37/4.47 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 4.37/4.47 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/4.47 %-----------------------------------------------------
% 4.37/4.47 ncf(matrix, plain, [(113 ^ _21463) ^ [] : [-(convergent_lines(109 ^ [], 110 ^ []))], (115 ^ _21463) ^ [] : [-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))], (117 ^ _21463) ^ [] : [distinct_lines(109 ^ [], 111 ^ []), distinct_lines(110 ^ [], 111 ^ [])], (2 ^ _21463) ^ [_21546] : [distinct_points(_21546, _21546)], (4 ^ _21463) ^ [_21623] : [distinct_lines(_21623, _21623)], (6 ^ _21463) ^ [_21700] : [convergent_lines(_21700, _21700)], (8 ^ _21463) ^ [_21821, _21823, _21825] : [distinct_points(_21825, _21823), -(distinct_points(_21825, _21821)), -(distinct_points(_21823, _21821))], (18 ^ _21463) ^ [_22145, _22147, _22149] : [distinct_lines(_22149, _22147), -(distinct_lines(_22149, _22145)), -(distinct_lines(_22147, _22145))], (28 ^ _21463) ^ [_22469, _22471, _22473] : [convergent_lines(_22473, _22471), -(convergent_lines(_22473, _22469)), -(convergent_lines(_22471, _22469))], (38 ^ _21463) ^ [_22793, _22795, _22797] : [distinct_points(_22797, _22795), apart_point_and_line(_22793, line_connecting(_22797, _22795)), 45 ^ _21463 : [(46 ^ _21463) ^ [] : [-(distinct_points(_22793, _22797))], (48 ^ _21463) ^ [] : [-(distinct_points(_22793, _22795))]]], (50 ^ _21463) ^ [_23199, _23201, _23203] : [convergent_lines(_23203, _23201), 55 ^ _21463 : [(56 ^ _21463) ^ [] : [apart_point_and_line(_23199, _23203)], (58 ^ _21463) ^ [] : [apart_point_and_line(_23199, _23201)]], -(distinct_points(_23199, intersection_point(_23203, _23201)))], (62 ^ _21463) ^ [_23618, _23620, _23622, _23624] : [distinct_points(_23624, _23622), distinct_lines(_23620, _23618), -(apart_point_and_line(_23624, _23620)), -(apart_point_and_line(_23624, _23618)), -(apart_point_and_line(_23622, _23620)), -(apart_point_and_line(_23622, _23618))], (84 ^ _21463) ^ [_24247, _24249, _24251] : [apart_point_and_line(_24251, _24249), -(distinct_points(_24251, _24247)), -(apart_point_and_line(_24247, _24249))], (104 ^ _21463) ^ [_24861, _24863] : [convergent_lines(_24863, _24861), -(distinct_lines(_24863, _24861))], (94 ^ _21463) ^ [_24571, _24573, _24575] : [apart_point_and_line(_24575, _24573), -(distinct_lines(_24573, _24571)), -(apart_point_and_line(_24575, _24571))]], input).
% 4.37/4.47 ncf('1',plain,[distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))],start(2 ^ 0,bind([[_21546], [intersection_point(109 ^ [], 110 ^ [])]]))).
% 4.37/4.47 ncf('1.1',plain,[-(distinct_points(intersection_point(109 ^ [], 110 ^ []), intersection_point(109 ^ [], 110 ^ []))), convergent_lines(109 ^ [], 110 ^ []), 58 : apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])],extension(50 ^ 1,bind([[_23199, _23201, _23203], [intersection_point(109 ^ [], 110 ^ []), 110 ^ [], 109 ^ []]]))).
% 4.37/4.47 ncf('1.1.1',plain,[-(convergent_lines(109 ^ [], 110 ^ []))],extension(113 ^ 2)).
% 4.37/4.47 ncf('1.1.2',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 110 ^ [])), apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []), -(distinct_lines(111 ^ [], 110 ^ []))],extension(94 ^ 4,bind([[_24571, _24573, _24575], [110 ^ [], 111 ^ [], intersection_point(109 ^ [], 110 ^ [])]]))).
% 4.37/4.47 ncf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))],extension(115 ^ 5)).
% 4.37/4.47 ncf('1.1.2.2',plain,[distinct_lines(111 ^ [], 110 ^ []), -(distinct_lines(111 ^ [], 111 ^ [])), -(distinct_lines(110 ^ [], 111 ^ []))],extension(18 ^ 5,bind([[_22145, _22147, _22149], [111 ^ [], 110 ^ [], 111 ^ []]]))).
% 4.37/4.47 ncf('1.1.2.2.1',plain,[distinct_lines(111 ^ [], 111 ^ [])],extension(4 ^ 6,bind([[_21623], [111 ^ []]]))).
% 4.37/4.47 ncf('1.1.2.2.2',plain,[distinct_lines(110 ^ [], 111 ^ []), distinct_lines(109 ^ [], 111 ^ [])],extension(117 ^ 6)).
% 4.37/4.47 ncf('1.1.2.2.2.1',plain,[-(distinct_lines(109 ^ [], 111 ^ [])), distinct_lines(111 ^ [], 109 ^ []), -(distinct_lines(111 ^ [], 111 ^ []))],extension(18 ^ 7,bind([[_22145, _22147, _22149], [111 ^ [], 109 ^ [], 111 ^ []]]))).
% 4.37/4.47 ncf('1.1.2.2.2.1.1',plain,[-(distinct_lines(111 ^ [], 109 ^ [])), apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []), -(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ []))],extension(94 ^ 8,bind([[_24571, _24573, _24575], [109 ^ [], 111 ^ [], intersection_point(109 ^ [], 110 ^ [])]]))).
% 4.37/4.47 ncf('1.1.2.2.2.1.1.1',plain,[-(apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 111 ^ []))],extension(115 ^ 9)).
% 4.37/4.47 ncf('1.1.2.2.2.1.1.2',plain,[apart_point_and_line(intersection_point(109 ^ [], 110 ^ []), 109 ^ [])],extension(56 ^ 9)).
% 4.37/4.47 ncf('1.1.2.2.2.1.2',plain,[distinct_lines(111 ^ [], 111 ^ [])],lemmata('[2, 1, 1].x')).
% 4.37/4.47 %-----------------------------------------------------
% 4.37/4.47 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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