TSTP Solution File: GEO199+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO199+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 05:03:33 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 01:45:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(con, conjecture, ! [_20748, _20751, _20754] : (convergent_lines(_20748, _20751) & convergent_lines(_20754, _20751) & convergent_lines(_20748, _20754) & ~ apart_point_and_line(intersection_point(_20748, _20751), _20754) => ~ apart_point_and_line(intersection_point(_20751, _20748), _20754)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.42 fof(apart3, axiom, ! [_21061] : ~ convergent_lines(_21061, _21061), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.35/1.42 fof(ax6, axiom, ! [_21177, _21180, _21183] : (convergent_lines(_21177, _21180) => convergent_lines(_21177, _21183) | convergent_lines(_21180, _21183)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.35/1.42 fof(ci3, axiom, ! [_21364, _21367] : (convergent_lines(_21364, _21367) => ~ apart_point_and_line(intersection_point(_21364, _21367), _21364)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.35/1.42 fof(ci4, axiom, ! [_21533, _21536] : (convergent_lines(_21533, _21536) => ~ apart_point_and_line(intersection_point(_21533, _21536), _21536)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.35/1.42 fof(cu1, axiom, ! [_21702, _21705, _21708, _21711] : (distinct_points(_21702, _21705) & distinct_lines(_21708, _21711) => apart_point_and_line(_21702, _21708) | apart_point_and_line(_21702, _21711) | apart_point_and_line(_21705, _21708) | apart_point_and_line(_21705, _21711)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.35/1.42 fof(ceq1, axiom, ! [_21982, _21985, _21988] : (apart_point_and_line(_21982, _21985) => distinct_points(_21982, _21988) | apart_point_and_line(_21988, _21985)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.35/1.42 fof(ceq3, axiom, ! [_22168, _22171, _22174] : (convergent_lines(_22168, _22171) => distinct_lines(_22171, _22174) | convergent_lines(_22168, _22174)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(2, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.35/1.42 cnf(3, plain, [-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))], clausify(con)).
% 0.35/1.42 cnf(4, plain, [convergent_lines(_6631, _6631)], clausify(apart3)).
% 0.35/1.42 cnf(5, plain, [convergent_lines(_7757, _7813), -(convergent_lines(_7757, _7868)), -(convergent_lines(_7813, _7868))], clausify(ax6)).
% 0.35/1.42 cnf(6, plain, [convergent_lines(_8970, _9020), apart_point_and_line(intersection_point(_8970, _9020), _8970)], clausify(ci3)).
% 0.35/1.42 cnf(7, plain, [convergent_lines(_9343, _9393), apart_point_and_line(intersection_point(_9343, _9393), _9393)], clausify(ci4)).
% 0.35/1.42 cnf(8, plain, [distinct_lines(_9873, _9950), distinct_points(_9716, _9795), -(apart_point_and_line(_9716, _9873)), -(apart_point_and_line(_9716, _9950)), -(apart_point_and_line(_9795, _9873)), -(apart_point_and_line(_9795, _9950))], clausify(cu1)).
% 0.35/1.42 cnf(9, plain, [apart_point_and_line(_10557, _10613), -(distinct_points(_10557, _10668)), -(apart_point_and_line(_10668, _10613))], clausify(ceq1)).
% 0.35/1.42 cnf(10, plain, [convergent_lines(_11481, _11537), -(distinct_lines(_11537, _11592)), -(convergent_lines(_11481, _11592))], clausify(ceq3)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[convergent_lines(1 ^ [], 1 ^ [])],start(4,bind([[_6631], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1',plain,[-(convergent_lines(1 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 1 ^ []))],extension(5,bind([[_7757, _7813, _7868], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2',plain,[convergent_lines(2 ^ [], 1 ^ []), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(6,bind([[_9020, _8970], [1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(8,bind([[_9716, _9873, _9795, _9950], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_11537, _11481, _11592], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_6631], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.2',plain,[-(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ []))), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(9,bind([[_10557, _10668, _10613], [intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.2.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.2.1.2.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],extension(2)).
% 0.35/1.42 cnf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(7,bind([[_9343, _9393], [2 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.3.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_9343, _9393], [1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_8970, _9020], [1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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