TSTP Solution File: GEO202+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 : 600s
% DateTime : Sat Jul 16 05:03:36 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 21:05:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(con, conjecture, ! [_19485, _19488, _19491] : (distinct_points(_19485, _19488) & distinct_points(_19485, _19491) & convergent_lines(line_connecting(_19485, _19488), line_connecting(_19485, _19491)) => ~ distinct_points(intersection_point(line_connecting(_19485, _19488), line_connecting(_19485, _19491)), _19485)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.31/1.41 fof(apart3, axiom, ! [_19820] : ~ convergent_lines(_19820, _19820), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.31/1.41 fof(ci1, axiom, ! [_19937, _19940] : (distinct_points(_19937, _19940) => ~ apart_point_and_line(_19937, line_connecting(_19937, _19940))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.31/1.41 fof(ci3, axiom, ! [_20107, _20110] : (convergent_lines(_20107, _20110) => ~ apart_point_and_line(intersection_point(_20107, _20110), _20107)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.31/1.41 fof(ci4, axiom, ! [_20276, _20279] : (convergent_lines(_20276, _20279) => ~ apart_point_and_line(intersection_point(_20276, _20279), _20279)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.31/1.41 fof(cu1, axiom, ! [_20445, _20448, _20451, _20454] : (distinct_points(_20445, _20448) & distinct_lines(_20451, _20454) => apart_point_and_line(_20445, _20451) | apart_point_and_line(_20445, _20454) | apart_point_and_line(_20448, _20451) | apart_point_and_line(_20448, _20454)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.31/1.41 fof(ceq3, axiom, ! [_20727, _20730, _20733] : (convergent_lines(_20727, _20730) => distinct_lines(_20730, _20733) | convergent_lines(_20727, _20733)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.31/1.41 cnf(2, plain, [-(distinct_points(1 ^ [], 3 ^ []))], clausify(con)).
% 0.31/1.41 cnf(3, plain, [-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.31/1.41 cnf(4, plain, [-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []))], clausify(con)).
% 0.31/1.41 cnf(5, plain, [convergent_lines(_6657, _6657)], clausify(apart3)).
% 0.31/1.41 cnf(6, plain, [distinct_points(_8250, _8300), apart_point_and_line(_8250, line_connecting(_8250, _8300))], clausify(ci1)).
% 0.31/1.41 cnf(7, plain, [convergent_lines(_8996, _9046), apart_point_and_line(intersection_point(_8996, _9046), _8996)], clausify(ci3)).
% 0.31/1.41 cnf(8, plain, [convergent_lines(_9369, _9419), apart_point_and_line(intersection_point(_9369, _9419), _9419)], clausify(ci4)).
% 0.31/1.41 cnf(9, plain, [distinct_lines(_9899, _9976), distinct_points(_9742, _9821), -(apart_point_and_line(_9742, _9899)), -(apart_point_and_line(_9742, _9976)), -(apart_point_and_line(_9821, _9899)), -(apart_point_and_line(_9821, _9976))], clausify(cu1)).
% 0.31/1.41 cnf(10, plain, [convergent_lines(_11507, _11563), -(distinct_lines(_11563, _11618)), -(convergent_lines(_11507, _11618))], clausify(ceq3)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(6,bind([[_8250, _8300], [1 ^ [], 2 ^ []]]))).
% 0.31/1.41 cnf('1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41 cnf('1.2',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []), -(apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(9,bind([[_9742, _9976, _9821, _9899], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.31/1.41 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), -(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_11563, _11507, _11618], [line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.31/1.41 cnf('1.2.1.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.31/1.41 cnf('1.2.1.2',plain,[convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(5,bind([[_6657], [line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.31/1.41 cnf('1.2.2',plain,[-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []))],extension(4)).
% 0.31/1.41 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 3 ^ [])), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))],extension(8,bind([[_9369, _9419], [line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.31/1.41 cnf('1.2.3.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.31/1.41 cnf('1.2.4',plain,[apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ [])), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))],extension(7,bind([[_8996, _9046], [line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.31/1.41 cnf('1.2.4.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.31/1.41 cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(6,bind([[_8250, _8300], [1 ^ [], 3 ^ []]]))).
% 0.31/1.41 cnf('1.2.5.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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