TSTP Solution File: GEO196+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO196+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 05:03:31 EDT 2022
% Result : Theorem 0.44s 1.40s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO196+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:04:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.41
% 0.44/1.41 %-----------------------------------------------------
% 0.44/1.41 fof(con, conjecture, ! [_22832, _22835, _22838, _22841] : (convergent_lines(_22832, _22835) & convergent_lines(_22838, _22841) & ~ apart_point_and_line(intersection_point(_22832, _22835), _22838) & ~ apart_point_and_line(intersection_point(_22832, _22835), _22841) => ~ apart_point_and_line(intersection_point(_22838, _22841), _22832) & ~ apart_point_and_line(intersection_point(_22838, _22841), _22835)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.44/1.41 fof(apart2, axiom, ! [_23249] : ~ distinct_lines(_23249, _23249), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.44/1.41 fof(apart3, axiom, ! [_23363] : ~ convergent_lines(_23363, _23363), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.44/1.41 fof(apart5, axiom, ! [_23478, _23481, _23484] : (distinct_lines(_23478, _23481) => distinct_lines(_23478, _23484) | distinct_lines(_23481, _23484)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.44/1.41 fof(ci3, axiom, ! [_23666, _23669] : (convergent_lines(_23666, _23669) => ~ apart_point_and_line(intersection_point(_23666, _23669), _23666)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.44/1.41 fof(ci4, axiom, ! [_23835, _23838] : (convergent_lines(_23835, _23838) => ~ apart_point_and_line(intersection_point(_23835, _23838), _23838)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.44/1.41 fof(cu1, axiom, ! [_24004, _24007, _24010, _24013] : (distinct_points(_24004, _24007) & distinct_lines(_24010, _24013) => apart_point_and_line(_24004, _24010) | apart_point_and_line(_24004, _24013) | apart_point_and_line(_24007, _24010) | apart_point_and_line(_24007, _24013)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.44/1.41 fof(ceq1, axiom, ! [_24284, _24287, _24290] : (apart_point_and_line(_24284, _24287) => distinct_points(_24284, _24290) | apart_point_and_line(_24290, _24287)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.44/1.41 fof(ceq3, axiom, ! [_24470, _24473, _24476] : (convergent_lines(_24470, _24473) => distinct_lines(_24473, _24476) | convergent_lines(_24470, _24476)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.44/1.41
% 0.44/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.44/1.41 cnf(2, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.44/1.41 cnf(3, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.44/1.41 cnf(4, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ [])], clausify(con)).
% 0.44/1.41 cnf(5, plain, [-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))], clausify(con)).
% 0.44/1.41 cnf(6, plain, [distinct_lines(_6597, _6597)], clausify(apart2)).
% 0.44/1.41 cnf(7, plain, [convergent_lines(_6789, _6789)], clausify(apart3)).
% 0.44/1.41 cnf(8, plain, [distinct_lines(_7448, _7504), -(distinct_lines(_7448, _7559)), -(distinct_lines(_7504, _7559))], clausify(apart5)).
% 0.44/1.41 cnf(9, plain, [convergent_lines(_9128, _9178), apart_point_and_line(intersection_point(_9128, _9178), _9128)], clausify(ci3)).
% 0.44/1.41 cnf(10, plain, [convergent_lines(_9501, _9551), apart_point_and_line(intersection_point(_9501, _9551), _9551)], clausify(ci4)).
% 0.44/1.41 cnf(11, plain, [distinct_lines(_10031, _10108), distinct_points(_9874, _9953), -(apart_point_and_line(_9874, _10031)), -(apart_point_and_line(_9874, _10108)), -(apart_point_and_line(_9953, _10031)), -(apart_point_and_line(_9953, _10108))], clausify(cu1)).
% 0.44/1.41 cnf(12, plain, [apart_point_and_line(_10715, _10771), -(distinct_points(_10715, _10826)), -(apart_point_and_line(_10826, _10771))], clausify(ceq1)).
% 0.44/1.41 cnf(13, plain, [convergent_lines(_11639, _11695), -(distinct_lines(_11695, _11750)), -(convergent_lines(_11639, _11750))], clausify(ceq3)).
% 0.44/1.41
% 0.44/1.41 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ [])],start(4)).
% 0.44/1.41 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ [])), distinct_lines(4 ^ [], 3 ^ []), distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(11,bind([[_10031, _9874, _9953, _10108], [4 ^ [], intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), distinct_lines(4 ^ [], 3 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(8,bind([[_7448, _7504, _7559], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), distinct_lines(4 ^ [], 3 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(8,bind([[_7448, _7504, _7559], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.1.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 4 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(13,bind([[_11695, _11639, _11750], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.1.1.1.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(7,bind([[_6789], [3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_6597], [3 ^ []]]))).
% 0.44/1.41 cnf('1.1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_6597], [3 ^ []]]))).
% 0.44/1.41 cnf('1.1.2',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []))), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(12,bind([[_10715, _10826, _10771], [intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.44/1.41 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))],extension(5)).
% 0.44/1.41 cnf('1.1.2.1.1',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []), -(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []))), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(12,bind([[_10715, _10826, _10771], [intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.44/1.41 cnf('1.1.2.1.1.1',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []))],reduction('1.1')).
% 0.44/1.41 cnf('1.1.2.1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(10,bind([[_9501, _9551], [1 ^ [], 2 ^ []]]))).
% 0.44/1.41 cnf('1.1.2.1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.41 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(9,bind([[_9128, _9178], [1 ^ [], 2 ^ []]]))).
% 0.44/1.41 cnf('1.1.2.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.41 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(10,bind([[_9501, _9551], [3 ^ [], 4 ^ []]]))).
% 0.44/1.41 cnf('1.1.3.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_9128, _9178], [3 ^ [], 4 ^ []]]))).
% 0.44/1.41 cnf('1.1.4.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.44/1.41 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],extension(3)).
% 0.44/1.41 %-----------------------------------------------------
% 0.44/1.41
% 0.44/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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