TSTP Solution File: GEO205+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% 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 114.41s 111.27s
% Output : Proof 114.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO205+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.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 00:07:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 114.41/111.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.41/111.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.41/111.28
% 114.41/111.28 %-----------------------------------------------------
% 114.41/111.28 fof(con, conjecture, ! [_43514, _43517, _43520] : (convergent_lines(_43514, _43517) & equal_lines(_43517, _43520) => convergent_lines(_43514, _43520) & equal_points(intersection_point(_43514, _43517), intersection_point(_43514, _43520))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 114.41/111.28 fof(apart3, axiom, ! [_43783] : ~ convergent_lines(_43783, _43783), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 114.41/111.28 fof(ax6, axiom, ! [_43899, _43902, _43905] : (convergent_lines(_43899, _43902) => convergent_lines(_43899, _43905) | convergent_lines(_43902, _43905)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 114.41/111.28 fof(ci3, axiom, ! [_44086, _44089] : (convergent_lines(_44086, _44089) => ~ apart_point_and_line(intersection_point(_44086, _44089), _44086)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 114.41/111.28 fof(ci4, axiom, ! [_44255, _44258] : (convergent_lines(_44255, _44258) => ~ apart_point_and_line(intersection_point(_44255, _44258), _44258)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 114.41/111.28 fof(cu1, axiom, ! [_44424, _44427, _44430, _44433] : (distinct_points(_44424, _44427) & distinct_lines(_44430, _44433) => apart_point_and_line(_44424, _44430) | apart_point_and_line(_44424, _44433) | apart_point_and_line(_44427, _44430) | apart_point_and_line(_44427, _44433)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 114.41/111.28 fof(ceq2, axiom, ! [_44705, _44708, _44711] : (apart_point_and_line(_44705, _44708) => distinct_lines(_44708, _44711) | apart_point_and_line(_44705, _44711)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 114.41/111.28 fof(ceq3, axiom, ! [_44890, _44893, _44896] : (convergent_lines(_44890, _44893) => distinct_lines(_44893, _44896) | convergent_lines(_44890, _44896)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 114.41/111.28 fof(ax1, axiom, ! [_45098, _45101] : (equal_points(_45098, _45101) <=> ~ distinct_points(_45098, _45101)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax1)).
% 114.41/111.28 fof(ax2, axiom, ! [_45251, _45254] : (equal_lines(_45251, _45254) <=> ~ distinct_lines(_45251, _45254)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 114.41/111.28
% 114.41/111.28 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 114.41/111.28 cnf(2, plain, [-(equal_lines(2 ^ [], 3 ^ []))], clausify(con)).
% 114.41/111.28 cnf(3, plain, [convergent_lines(1 ^ [], 3 ^ []), equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))], clausify(con)).
% 114.41/111.28 cnf(4, plain, [convergent_lines(_12711, _12711)], clausify(apart3)).
% 114.41/111.28 cnf(5, plain, [convergent_lines(_13837, _13893), -(convergent_lines(_13837, _13948)), -(convergent_lines(_13893, _13948))], clausify(ax6)).
% 114.41/111.28 cnf(6, plain, [convergent_lines(_15050, _15100), apart_point_and_line(intersection_point(_15050, _15100), _15050)], clausify(ci3)).
% 114.41/111.28 cnf(7, plain, [convergent_lines(_15423, _15473), apart_point_and_line(intersection_point(_15423, _15473), _15473)], clausify(ci4)).
% 114.41/111.28 cnf(8, plain, [distinct_lines(_15953, _16030), distinct_points(_15796, _15875), -(apart_point_and_line(_15796, _15953)), -(apart_point_and_line(_15796, _16030)), -(apart_point_and_line(_15875, _15953)), -(apart_point_and_line(_15875, _16030))], clausify(cu1)).
% 114.41/111.28 cnf(9, plain, [apart_point_and_line(_17104, _17160), -(distinct_lines(_17160, _17215)), -(apart_point_and_line(_17104, _17215))], clausify(ceq2)).
% 114.41/111.28 cnf(10, plain, [convergent_lines(_17561, _17617), -(distinct_lines(_17617, _17672)), -(convergent_lines(_17561, _17672))], clausify(ceq3)).
% 114.41/111.28 cnf(11, plain, [-(equal_points(_25631, _25678)), -(distinct_points(_25631, _25678))], clausify(ax1)).
% 114.41/111.28 cnf(12, plain, [equal_lines(_25961, _26008), distinct_lines(_25961, _26008)], clausify(ax2)).
% 114.41/111.28
% 114.41/111.28 cnf('1',plain,[convergent_lines(1 ^ [], 3 ^ []), equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))],start(3)).
% 114.41/111.28 cnf('1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_13837, _13893, _13948], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 114.41/111.28 cnf('1.1.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(convergent_lines(2 ^ [], 2 ^ [])), -(convergent_lines(3 ^ [], 2 ^ []))],extension(5,bind([[_13837, _13893, _13948], [2 ^ [], 3 ^ [], 2 ^ []]]))).
% 114.41/111.28 cnf('1.1.2.1',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(4,bind([[_12711], [2 ^ []]]))).
% 114.41/111.28 cnf('1.1.2.2',plain,[convergent_lines(3 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 3 ^ [])), -(convergent_lines(3 ^ [], 3 ^ []))],extension(10,bind([[_17617, _17561, _17672], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.1.2.2.1',plain,[distinct_lines(2 ^ [], 3 ^ []), equal_lines(2 ^ [], 3 ^ [])],extension(12,bind([[_25961, _26008], [2 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.1.2.2.1.1',plain,[-(equal_lines(2 ^ [], 3 ^ []))],extension(2)).
% 114.41/111.28 cnf('1.1.2.2.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12711], [3 ^ []]]))).
% 114.41/111.28 cnf('1.2',plain,[-(equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(11,bind([[_25631, _25678], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 114.41/111.28 cnf('1.2.1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(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 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []))],extension(8,bind([[_15796, _15953, _15875, _16030], [intersection_point(1 ^ [], 2 ^ []), 2 ^ [], intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_17617, _17561, _17672], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 114.41/111.28 cnf('1.2.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_12711], [1 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15423, _15473], [1 ^ [], 2 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 114.41/111.28 cnf('1.2.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_15050, _15100], [1 ^ [], 2 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 114.41/111.28 cnf('1.2.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []), -(distinct_lines(2 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []))],extension(9,bind([[_17160, _17104, _17215], [2 ^ [], intersection_point(1 ^ [], 3 ^ []), 3 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.4.1',plain,[distinct_lines(2 ^ [], 3 ^ []), equal_lines(2 ^ [], 3 ^ [])],extension(12,bind([[_25961, _26008], [2 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.4.1.1',plain,[-(equal_lines(2 ^ [], 3 ^ []))],extension(2)).
% 114.41/111.28 cnf('1.2.1.4.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(7,bind([[_15423, _15473], [1 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.4.2.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],lemmata('1')).
% 114.41/111.28 cnf('1.2.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(6,bind([[_15050, _15100], [1 ^ [], 3 ^ []]]))).
% 114.41/111.28 cnf('1.2.1.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],lemmata('1')).
% 114.41/111.28 %-----------------------------------------------------
% 114.41/111.29
% 114.41/111.29 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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