TSTP Solution File: GEO205+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 05:03:39 EDT 2022
% Result : Theorem 0.35s 1.43s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 16:31:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.35/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.45
% 0.44/1.45 %-----------------------------------------------------
% 0.44/1.45 fof(con, conjecture, ! [_21660, _21663, _21666] : (convergent_lines(_21660, _21663) & ~ distinct_lines(_21663, _21666) => convergent_lines(_21660, _21666) & ~ distinct_points(intersection_point(_21660, _21663), intersection_point(_21660, _21666))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.44/1.45 fof(apart3, axiom, ! [_21943] : ~ convergent_lines(_21943, _21943), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.44/1.45 fof(ci3, axiom, ! [_22062, _22065] : (convergent_lines(_22062, _22065) => ~ apart_point_and_line(intersection_point(_22062, _22065), _22062)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.44/1.45 fof(ci4, axiom, ! [_22231, _22234] : (convergent_lines(_22231, _22234) => ~ apart_point_and_line(intersection_point(_22231, _22234), _22234)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.44/1.45 fof(cu1, axiom, ! [_22400, _22403, _22406, _22409] : (distinct_points(_22400, _22403) & distinct_lines(_22406, _22409) => apart_point_and_line(_22400, _22406) | apart_point_and_line(_22400, _22409) | apart_point_and_line(_22403, _22406) | apart_point_and_line(_22403, _22409)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.44/1.45 fof(ceq2, axiom, ! [_22681, _22684, _22687] : (apart_point_and_line(_22681, _22684) => distinct_lines(_22684, _22687) | apart_point_and_line(_22681, _22687)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.44/1.45 fof(ceq3, axiom, ! [_22866, _22869, _22872] : (convergent_lines(_22866, _22869) => distinct_lines(_22869, _22872) | convergent_lines(_22866, _22872)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.44/1.45
% 0.44/1.45 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.44/1.45 cnf(2, plain, [distinct_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.44/1.45 cnf(3, plain, [convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.44/1.45 cnf(4, plain, [convergent_lines(_6623, _6623)], clausify(apart3)).
% 0.44/1.45 cnf(5, plain, [convergent_lines(_8962, _9012), apart_point_and_line(intersection_point(_8962, _9012), _8962)], clausify(ci3)).
% 0.44/1.45 cnf(6, plain, [convergent_lines(_9335, _9385), apart_point_and_line(intersection_point(_9335, _9385), _9385)], clausify(ci4)).
% 0.44/1.45 cnf(7, plain, [distinct_lines(_9865, _9942), distinct_points(_9708, _9787), -(apart_point_and_line(_9708, _9865)), -(apart_point_and_line(_9708, _9942)), -(apart_point_and_line(_9787, _9865)), -(apart_point_and_line(_9787, _9942))], clausify(cu1)).
% 0.44/1.45 cnf(8, plain, [apart_point_and_line(_11016, _11072), -(distinct_lines(_11072, _11127)), -(apart_point_and_line(_11016, _11127))], clausify(ceq2)).
% 0.44/1.45 cnf(9, plain, [convergent_lines(_11473, _11529), -(distinct_lines(_11529, _11584)), -(convergent_lines(_11473, _11584))], clausify(ceq3)).
% 0.44/1.45
% 0.44/1.45 cnf('1',plain,[distinct_lines(2 ^ [], 3 ^ [])],start(2)).
% 0.44/1.45 cnf('1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []))],extension(8,bind([[_11072, _11016, _11127], [2 ^ [], intersection_point(1 ^ [], 3 ^ []), 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.1',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(7,bind([[_9865, _9708, _9787, _9942], [2 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(9,bind([[_11529, _11473, _11584], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_6623], [1 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), convergent_lines(1 ^ [], 3 ^ [])],extension(3)).
% 0.44/1.45 cnf('1.1.1.2.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(9,bind([[_11473, _11529, _11584], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.1.2.1.2',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.44/1.45 cnf('1.1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_9335, _9385], [1 ^ [], 2 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(5,bind([[_8962, _9012], [1 ^ [], 2 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(5,bind([[_8962, _9012], [1 ^ [], 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(9,bind([[_11473, _11529, _11584], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.1.5.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.1.5.1.2',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.44/1.45 cnf('1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(6,bind([[_9335, _9385], [1 ^ [], 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.2.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(9,bind([[_11473, _11529, _11584], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.44/1.45 cnf('1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.44/1.45 cnf('1.1.2.1.2',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.44/1.45 %-----------------------------------------------------
% 0.44/1.45
% 0.44/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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