TSTP Solution File: GEO199+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO199+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 05:03:34 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO199+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.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 : Sat Jun 18 01:39:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(con, conjecture, ! [_23170, _23173, _23176] : (convergent_lines(_23170, _23173) & convergent_lines(_23176, _23173) & convergent_lines(_23170, _23176) & ~ apart_point_and_line(intersection_point(_23170, _23173), _23176) => ~ apart_point_and_line(intersection_point(_23173, _23170), _23176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.37/1.42 fof(apart1, axiom, ! [_23481] : ~ distinct_points(_23481, _23481), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.37/1.42 fof(apart2, axiom, ! [_23595] : ~ distinct_lines(_23595, _23595), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.37/1.42 fof(apart3, axiom, ! [_23709] : ~ convergent_lines(_23709, _23709), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.37/1.42 fof(apart5, axiom, ! [_23824, _23827, _23830] : (distinct_lines(_23824, _23827) => distinct_lines(_23824, _23830) | distinct_lines(_23827, _23830)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.37/1.42 fof(apart6, axiom, ! [_24009, _24012, _24015] : (convergent_lines(_24009, _24012) => convergent_lines(_24009, _24015) | convergent_lines(_24012, _24015)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.37/1.42 fof(con2, axiom, ! [_24196, _24199, _24202] : (convergent_lines(_24196, _24199) => apart_point_and_line(_24202, _24196) | apart_point_and_line(_24202, _24199) => distinct_points(_24202, intersection_point(_24196, _24199))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.37/1.42 fof(cu1, axiom, ! [_24437, _24440, _24443, _24446] : (distinct_points(_24437, _24440) & distinct_lines(_24443, _24446) => apart_point_and_line(_24437, _24443) | apart_point_and_line(_24437, _24446) | apart_point_and_line(_24440, _24443) | apart_point_and_line(_24440, _24446)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.37/1.42 fof(ceq1, axiom, ! [_24717, _24720, _24723] : (apart_point_and_line(_24717, _24720) => distinct_points(_24717, _24723) | apart_point_and_line(_24723, _24720)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.37/1.42 fof(ceq3, axiom, ! [_24902, _24905] : (convergent_lines(_24902, _24905) => distinct_lines(_24902, _24905)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.42 cnf(2, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.37/1.42 cnf(3, plain, [-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))], clausify(con)).
% 0.37/1.42 cnf(4, plain, [distinct_points(_5977, _5977)], clausify(apart1)).
% 0.37/1.42 cnf(5, plain, [distinct_lines(_6169, _6169)], clausify(apart2)).
% 0.37/1.42 cnf(6, plain, [convergent_lines(_6361, _6361)], clausify(apart3)).
% 0.37/1.42 cnf(7, plain, [distinct_lines(_7020, _7076), -(distinct_lines(_7020, _7131)), -(distinct_lines(_7076, _7131))], clausify(apart5)).
% 0.37/1.42 cnf(8, plain, [convergent_lines(_7487, _7543), -(convergent_lines(_7487, _7598)), -(convergent_lines(_7543, _7598))], clausify(apart6)).
% 0.37/1.42 cnf(9, plain, [convergent_lines(_8559, _8624), apart_point_and_line(_8688, _8559), -(distinct_points(_8688, intersection_point(_8559, _8624)))], clausify(con2)).
% 0.37/1.42 cnf(10, plain, [convergent_lines(_8559, _8624), apart_point_and_line(_8688, _8624), -(distinct_points(_8688, intersection_point(_8559, _8624)))], clausify(con2)).
% 0.37/1.42 cnf(11, plain, [distinct_lines(_9321, _9398), distinct_points(_9164, _9243), -(apart_point_and_line(_9164, _9321)), -(apart_point_and_line(_9164, _9398)), -(apart_point_and_line(_9243, _9321)), -(apart_point_and_line(_9243, _9398))], clausify(cu1)).
% 0.37/1.42 cnf(12, plain, [apart_point_and_line(_10005, _10061), -(distinct_points(_10005, _10116)), -(apart_point_and_line(_10116, _10061))], clausify(ceq1)).
% 0.37/1.42 cnf(13, plain, [convergent_lines(_10929, _10974), -(distinct_lines(_10929, _10974))], clausify(ceq3)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],start(2)).
% 0.37/1.42 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(12,bind([[_10061, _10005, _10116], [3 ^ [], intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))],extension(3)).
% 0.37/1.42 cnf('1.1.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(11,bind([[_9164, _9321, _9243, _9398], [intersection_point(2 ^ [], 1 ^ []), 1 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_7020, _7076, _7131], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_7020, _7076, _7131], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(13,bind([[_10929, _10974], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(5,bind([[_6169], [2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(5,bind([[_6169], [2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(10,bind([[_8688, _8559, _8624], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.2.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7543, _7487, _7598], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.2.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6361], [1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.2.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(4,bind([[_5977], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.37/1.42 cnf('1.1.2.3',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(9,bind([[_8688, _8559, _8624], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.3.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7543, _7487, _7598], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.3.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.3.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6361], [1 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.3.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(4,bind([[_5977], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.37/1.42 cnf('1.1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(9,bind([[_8688, _8559, _8624], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.4.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5977], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.37/1.42 cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(10,bind([[_8688, _8559, _8624], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.5.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5977], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.43
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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