TSTP Solution File: GEO194+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 05:03:29 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 11:41:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(con, conjecture, ! [_20028, _20031, _20034] : (convergent_lines(_20028, _20031) & convergent_lines(_20034, _20031) & convergent_lines(_20028, _20034) => apart_point_and_line(intersection_point(_20028, _20031), _20034) => apart_point_and_line(intersection_point(_20028, _20034), _20031)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/1.41 fof(apart3, axiom, ! [_20337] : ~ convergent_lines(_20337, _20337), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.38/1.41 fof(ci3, axiom, ! [_20456, _20459] : (convergent_lines(_20456, _20459) => ~ apart_point_and_line(intersection_point(_20456, _20459), _20456)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.38/1.41 fof(ci4, axiom, ! [_20625, _20628] : (convergent_lines(_20625, _20628) => ~ apart_point_and_line(intersection_point(_20625, _20628), _20628)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.38/1.41 fof(cu1, axiom, ! [_20794, _20797, _20800, _20803] : (distinct_points(_20794, _20797) & distinct_lines(_20800, _20803) => apart_point_and_line(_20794, _20800) | apart_point_and_line(_20794, _20803) | apart_point_and_line(_20797, _20800) | apart_point_and_line(_20797, _20803)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.38/1.41 fof(ceq1, axiom, ! [_21074, _21077, _21080] : (apart_point_and_line(_21074, _21077) => distinct_points(_21074, _21080) | apart_point_and_line(_21080, _21077)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.38/1.41 fof(ceq3, axiom, ! [_21260, _21263, _21266] : (convergent_lines(_21260, _21263) => distinct_lines(_21263, _21266) | convergent_lines(_21260, _21266)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.41 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.38/1.41 cnf(3, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.38/1.41 cnf(4, plain, [apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])], clausify(con)).
% 0.38/1.41 cnf(5, plain, [convergent_lines(_6635, _6635)], clausify(apart3)).
% 0.38/1.41 cnf(6, plain, [convergent_lines(_8974, _9024), apart_point_and_line(intersection_point(_8974, _9024), _8974)], clausify(ci3)).
% 0.38/1.41 cnf(7, plain, [convergent_lines(_9347, _9397), apart_point_and_line(intersection_point(_9347, _9397), _9397)], clausify(ci4)).
% 0.38/1.41 cnf(8, plain, [distinct_lines(_9877, _9954), distinct_points(_9720, _9799), -(apart_point_and_line(_9720, _9877)), -(apart_point_and_line(_9720, _9954)), -(apart_point_and_line(_9799, _9877)), -(apart_point_and_line(_9799, _9954))], clausify(cu1)).
% 0.38/1.41 cnf(9, plain, [apart_point_and_line(_10561, _10617), -(distinct_points(_10561, _10672)), -(apart_point_and_line(_10672, _10617))], clausify(ceq1)).
% 0.38/1.41 cnf(10, plain, [convergent_lines(_11485, _11541), -(distinct_lines(_11541, _11596)), -(convergent_lines(_11485, _11596))], clausify(ceq3)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])],start(4)).
% 0.38/1.41 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []))],extension(8,bind([[_9877, _9720, _9799, _9954], [2 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_11541, _11485, _11596], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6635], [1 ^ []]]))).
% 0.38/1.41 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []))],extension(9,bind([[_10561, _10672, _10617], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(3)).
% 0.38/1.41 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(7,bind([[_9347, _9397], [1 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.38/1.41 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_9347, _9397], [1 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_8974, _9024], [1 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(6,bind([[_8974, _9024], [1 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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