%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 05:03:26 EDT 2022
% Result : Theorem 0.39s 1.42s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 15:12:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.43
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.43 fof(con, conjecture, ! [_22649, _22652, _22655, _22658] : (convergent_lines(_22649, _22652) & convergent_lines(_22655, _22658) & (apart_point_and_line(intersection_point(_22649, _22652), _22655) | apart_point_and_line(intersection_point(_22649, _22652), _22658)) => apart_point_and_line(intersection_point(_22655, _22658), _22649) | apart_point_and_line(intersection_point(_22655, _22658), _22652)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.39/1.43 fof(apart2, axiom, ! [_23038] : ~ distinct_lines(_23038, _23038), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.39/1.43 fof(apart3, axiom, ! [_23152] : ~ convergent_lines(_23152, _23152), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.39/1.43 fof(apart5, axiom, ! [_23267, _23270, _23273] : (distinct_lines(_23267, _23270) => distinct_lines(_23267, _23273) | distinct_lines(_23270, _23273)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.39/1.43 fof(ci3, axiom, ! [_23455, _23458] : (convergent_lines(_23455, _23458) => ~ apart_point_and_line(intersection_point(_23455, _23458), _23455)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.39/1.43 fof(ci4, axiom, ! [_23624, _23627] : (convergent_lines(_23624, _23627) => ~ apart_point_and_line(intersection_point(_23624, _23627), _23627)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.39/1.43 fof(cu1, axiom, ! [_23793, _23796, _23799, _23802] : (distinct_points(_23793, _23796) & distinct_lines(_23799, _23802) => apart_point_and_line(_23793, _23799) | apart_point_and_line(_23793, _23802) | apart_point_and_line(_23796, _23799) | apart_point_and_line(_23796, _23802)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.39/1.43 fof(ceq1, axiom, ! [_24073, _24076, _24079] : (apart_point_and_line(_24073, _24076) => distinct_points(_24073, _24079) | apart_point_and_line(_24079, _24076)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.39/1.43 fof(ceq3, axiom, ! [_24259, _24262, _24265] : (convergent_lines(_24259, _24262) => distinct_lines(_24262, _24265) | convergent_lines(_24259, _24265)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.39/1.43
% 0.39/1.43 cnf(1, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])], clausify(con)).
% 0.39/1.43 cnf(2, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])], clausify(con)).
% 0.39/1.43 cnf(3, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.39/1.43 cnf(4, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.39/1.43 cnf(5, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))], clausify(con)).
% 0.39/1.43 cnf(6, plain, [distinct_lines(_6541, _6541)], clausify(apart2)).
% 0.39/1.43 cnf(7, plain, [convergent_lines(_6733, _6733)], clausify(apart3)).
% 0.39/1.43 cnf(8, plain, [distinct_lines(_7392, _7448), -(distinct_lines(_7392, _7503)), -(distinct_lines(_7448, _7503))], clausify(apart5)).
% 0.39/1.43 cnf(9, plain, [convergent_lines(_9072, _9122), apart_point_and_line(intersection_point(_9072, _9122), _9072)], clausify(ci3)).
% 0.39/1.43 cnf(10, plain, [convergent_lines(_9445, _9495), apart_point_and_line(intersection_point(_9445, _9495), _9495)], clausify(ci4)).
% 0.39/1.43 cnf(11, plain, [distinct_lines(_9975, _10052), distinct_points(_9818, _9897), -(apart_point_and_line(_9818, _9975)), -(apart_point_and_line(_9818, _10052)), -(apart_point_and_line(_9897, _9975)), -(apart_point_and_line(_9897, _10052))], clausify(cu1)).
% 0.39/1.43 cnf(12, plain, [apart_point_and_line(_10659, _10715), -(distinct_points(_10659, _10770)), -(apart_point_and_line(_10770, _10715))], clausify(ceq1)).
% 0.39/1.43 cnf(13, plain, [convergent_lines(_11583, _11639), -(distinct_lines(_11639, _11694)), -(convergent_lines(_11583, _11694))], clausify(ceq3)).
% 0.39/1.43
% 0.39/1.43 cnf('1',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])],start(1)).
% 0.39/1.43 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))],extension(11,bind([[_9975, _9818, _9897, _10052], [1 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 2 ^ []]]))).
% 0.39/1.43 cnf('1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_7392, _7448, _7503], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_7448, _7392, _7503], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(13,bind([[_11639, _11583, _11694], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.39/1.43 cnf('1.1.1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(7,bind([[_6733], [1 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_6541], [2 ^ []]]))).
% 0.39/1.43 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_6541], [2 ^ []]]))).
% 0.39/1.43 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []))],extension(12,bind([[_10659, _10770, _10715], [intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.39/1.43 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))],extension(5)).
% 0.39/1.43 cnf('1.1.2.1.1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []))],extension(12,bind([[_10659, _10770, _10715], [intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.39/1.43 cnf('1.1.2.1.1.1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.39/1.43 cnf('1.1.2.1.1.2',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(10,bind([[_9445, _9495], [3 ^ [], 4 ^ []]]))).
% 0.39/1.43 cnf('1.1.2.1.1.2.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 0.39/1.43 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_9072, _9122], [3 ^ [], 4 ^ []]]))).
% 0.39/1.43 cnf('1.1.2.2.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 0.39/1.43 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(9,bind([[_9072, _9122], [1 ^ [], 2 ^ []]]))).
% 0.39/1.43 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.39/1.43 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(10,bind([[_9445, _9495], [1 ^ [], 2 ^ []]]))).
% 0.39/1.43 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.39/1.43 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])],extension(2)).
% 0.39/1.43 %-----------------------------------------------------
% 0.39/1.43
% 0.39/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------