TSTP Solution File: GEO196+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 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 05:03:32 EDT 2022
% Result : Theorem 38.51s 37.64s
% Output : Proof 38.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 10:17:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 38.51/37.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.51/37.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.51/37.66
% 38.51/37.66 %-----------------------------------------------------
% 38.51/37.66 fof(cotno1, axiom, ! [_48904, _48907, _48910] : ((~ convergent_lines(_48904, _48907) | ~ unorthogonal_lines(_48904, _48907)) & (~ convergent_lines(_48904, _48910) | ~ unorthogonal_lines(_48904, _48910)) => ~ convergent_lines(_48907, _48910) | ~ unorthogonal_lines(_48907, _48910)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 38.51/37.66 fof(con, conjecture, ! [_49231, _49234, _49237, _49240] : (convergent_lines(_49231, _49234) & convergent_lines(_49237, _49240) & incident_point_and_line(intersection_point(_49231, _49234), _49237) & incident_point_and_line(intersection_point(_49231, _49234), _49240) => incident_point_and_line(intersection_point(_49237, _49240), _49231) & incident_point_and_line(intersection_point(_49237, _49240), _49234)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 38.51/37.66 fof(apart2, axiom, ! [_49624] : ~ distinct_lines(_49624, _49624), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 38.51/37.66 fof(apart3, axiom, ! [_49738] : ~ convergent_lines(_49738, _49738), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 38.51/37.66 fof(apart5, axiom, ! [_49853, _49856, _49859] : (distinct_lines(_49853, _49856) => distinct_lines(_49853, _49859) | distinct_lines(_49856, _49859)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 38.51/37.66 fof(ax6, axiom, ! [_50038, _50041, _50044] : (convergent_lines(_50038, _50041) => convergent_lines(_50038, _50044) | convergent_lines(_50041, _50044)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 38.51/37.66 fof(ci3, axiom, ! [_50225, _50228] : (convergent_lines(_50225, _50228) => ~ apart_point_and_line(intersection_point(_50225, _50228), _50225)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 38.51/37.66 fof(ci4, axiom, ! [_50394, _50397] : (convergent_lines(_50394, _50397) => ~ apart_point_and_line(intersection_point(_50394, _50397), _50397)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 38.51/37.66 fof(cu1, axiom, ! [_50563, _50566, _50569, _50572] : (distinct_points(_50563, _50566) & distinct_lines(_50569, _50572) => apart_point_and_line(_50563, _50569) | apart_point_and_line(_50563, _50572) | apart_point_and_line(_50566, _50569) | apart_point_and_line(_50566, _50572)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 38.51/37.66 fof(ceq1, axiom, ! [_50843, _50846, _50849] : (apart_point_and_line(_50843, _50846) => distinct_points(_50843, _50849) | apart_point_and_line(_50849, _50846)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 38.51/37.66 fof(ceq3, axiom, ! [_51029, _51032, _51035] : (convergent_lines(_51029, _51032) => distinct_lines(_51032, _51035) | convergent_lines(_51029, _51035)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 38.51/37.66 fof(occu1, axiom, ! [_51218, _51221] : (convergent_lines(_51218, _51221) | unorthogonal_lines(_51218, _51221)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 38.51/37.66 fof(a4, axiom, ! [_51391, _51394] : (incident_point_and_line(_51391, _51394) <=> ~ apart_point_and_line(_51391, _51394)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 38.51/37.66
% 38.51/37.66 cnf(1, plain, [-(4 ^ [_22836, _22751, _22665]), -(convergent_lines(_22665, _22836))], clausify(cotno1)).
% 38.51/37.66 cnf(2, plain, [-(3 ^ [_22836, _22751, _22665]), -(convergent_lines(_22665, _22751))], clausify(cotno1)).
% 38.51/37.66 cnf(3, plain, [-(convergent_lines(5 ^ [], 6 ^ []))], clausify(con)).
% 38.51/37.66 cnf(4, plain, [-(convergent_lines(7 ^ [], 8 ^ []))], clausify(con)).
% 38.51/37.66 cnf(5, plain, [-(incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 7 ^ []))], clausify(con)).
% 38.51/37.66 cnf(6, plain, [-(incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 8 ^ []))], clausify(con)).
% 38.51/37.66 cnf(7, plain, [incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 5 ^ []), incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 6 ^ [])], clausify(con)).
% 38.51/37.66 cnf(8, plain, [distinct_lines(_12678, _12678)], clausify(apart2)).
% 38.51/37.66 cnf(9, plain, [convergent_lines(_12870, _12870)], clausify(apart3)).
% 38.51/37.66 cnf(10, plain, [distinct_lines(_13529, _13585), -(distinct_lines(_13529, _13640)), -(distinct_lines(_13585, _13640))], clausify(apart5)).
% 38.51/37.66 cnf(11, plain, [convergent_lines(_13996, _14052), -(convergent_lines(_13996, _14107)), -(convergent_lines(_14052, _14107))], clausify(ax6)).
% 38.51/37.66 cnf(12, plain, [convergent_lines(_15209, _15259), apart_point_and_line(intersection_point(_15209, _15259), _15209)], clausify(ci3)).
% 38.51/37.66 cnf(13, plain, [convergent_lines(_15582, _15632), apart_point_and_line(intersection_point(_15582, _15632), _15632)], clausify(ci4)).
% 38.51/37.66 cnf(14, plain, [distinct_lines(_16112, _16189), distinct_points(_15955, _16034), -(apart_point_and_line(_15955, _16112)), -(apart_point_and_line(_15955, _16189)), -(apart_point_and_line(_16034, _16112)), -(apart_point_and_line(_16034, _16189))], clausify(cu1)).
% 38.51/37.66 cnf(15, plain, [apart_point_and_line(_16796, _16852), -(distinct_points(_16796, _16907)), -(apart_point_and_line(_16907, _16852))], clausify(ceq1)).
% 38.51/37.66 cnf(16, plain, [convergent_lines(_17720, _17776), -(distinct_lines(_17776, _17831)), -(convergent_lines(_17720, _17831))], clausify(ceq3)).
% 38.51/37.66 cnf(17, plain, [-(convergent_lines(_19865, _19910)), -(unorthogonal_lines(_19865, _19910))], clausify(occu1)).
% 38.51/37.66 cnf(18, plain, [4 ^ [_22836, _22751, _22665], 3 ^ [_22836, _22751, _22665], convergent_lines(_22751, _22836), unorthogonal_lines(_22751, _22836)], clausify(cotno1)).
% 38.51/37.66 cnf(19, plain, [incident_point_and_line(_26780, _26827), apart_point_and_line(_26780, _26827)], clausify(a4)).
% 38.51/37.66 cnf(20, plain, [-(incident_point_and_line(_26780, _26827)), -(apart_point_and_line(_26780, _26827))], clausify(a4)).
% 38.51/37.66
% 38.51/37.66 cnf('1',plain,[-(convergent_lines(7 ^ [], 8 ^ []))],start(4)).
% 38.51/37.66 cnf('1.1',plain,[convergent_lines(7 ^ [], 8 ^ []), apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 7 ^ [])],extension(12,bind([[_15259, _15209], [8 ^ [], 7 ^ []]]))).
% 38.51/37.66 cnf('1.1.1',plain,[-(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 7 ^ [])), distinct_lines(7 ^ [], 8 ^ []), distinct_points(intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ [])), -(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 8 ^ [])), -(apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 7 ^ [])), -(apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 8 ^ []))],extension(14,bind([[_15955, _16112, _16034, _16189], [intersection_point(7 ^ [], 8 ^ []), 7 ^ [], intersection_point(5 ^ [], 6 ^ []), 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1',plain,[-(distinct_lines(7 ^ [], 8 ^ [])), distinct_lines(7 ^ [], 8 ^ []), -(distinct_lines(8 ^ [], 8 ^ []))],extension(10,bind([[_13529, _13585, _13640], [7 ^ [], 8 ^ [], 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1',plain,[-(distinct_lines(7 ^ [], 8 ^ [])), distinct_lines(7 ^ [], 8 ^ []), -(distinct_lines(8 ^ [], 8 ^ []))],extension(10,bind([[_13529, _13585, _13640], [7 ^ [], 8 ^ [], 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1',plain,[-(distinct_lines(7 ^ [], 8 ^ [])), distinct_lines(7 ^ [], 8 ^ []), -(distinct_lines(8 ^ [], 8 ^ []))],extension(10,bind([[_13529, _13585, _13640], [7 ^ [], 8 ^ [], 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1.1',plain,[-(distinct_lines(7 ^ [], 8 ^ [])), distinct_lines(8 ^ [], 7 ^ []), -(distinct_lines(8 ^ [], 8 ^ []))],extension(10,bind([[_13585, _13529, _13640], [7 ^ [], 8 ^ [], 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1.1.1',plain,[-(distinct_lines(8 ^ [], 7 ^ [])), convergent_lines(7 ^ [], 8 ^ []), -(convergent_lines(7 ^ [], 7 ^ []))],extension(16,bind([[_17776, _17720, _17831], [8 ^ [], 7 ^ [], 7 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1.1.1.1',plain,[-(convergent_lines(7 ^ [], 8 ^ []))],extension(4)).
% 38.51/37.66 cnf('1.1.1.1.1.1.1.1.2',plain,[convergent_lines(7 ^ [], 7 ^ [])],extension(9,bind([[_12870], [7 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1.1.2',plain,[distinct_lines(8 ^ [], 8 ^ [])],extension(8,bind([[_12678], [8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.1.2',plain,[distinct_lines(8 ^ [], 8 ^ [])],extension(8,bind([[_12678], [8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.1.2',plain,[distinct_lines(8 ^ [], 8 ^ [])],extension(8,bind([[_12678], [8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.1.2',plain,[distinct_lines(8 ^ [], 8 ^ [])],extension(8,bind([[_12678], [8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2',plain,[-(distinct_points(intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ []))), apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 5 ^ []), -(apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 5 ^ []))],extension(15,bind([[_16796, _16907, _16852], [intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.1',plain,[-(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 5 ^ [])), -(incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 5 ^ []))],extension(20,bind([[_26780, _26827], [intersection_point(7 ^ [], 8 ^ []), 5 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.1.1',plain,[incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 5 ^ []), incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 6 ^ [])],extension(7)).
% 38.51/37.66 cnf('1.1.1.2.1.1.1',plain,[-(incident_point_and_line(intersection_point(7 ^ [], 8 ^ []), 6 ^ [])), -(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 6 ^ []))],extension(20,bind([[_26780, _26827], [intersection_point(7 ^ [], 8 ^ []), 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.1.1.1.1',plain,[apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 6 ^ []), -(distinct_points(intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ []))), -(apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 6 ^ []))],extension(15,bind([[_16796, _16907, _16852], [intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ []), 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.1.1.1.1.1',plain,[distinct_points(intersection_point(7 ^ [], 8 ^ []), intersection_point(5 ^ [], 6 ^ []))],reduction('1.1.1')).
% 38.51/37.66 cnf('1.1.1.2.1.1.1.1.2',plain,[apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 6 ^ []), convergent_lines(5 ^ [], 6 ^ [])],extension(13,bind([[_15582, _15632], [5 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.1.1.1.1.2.1',plain,[-(convergent_lines(5 ^ [], 6 ^ []))],extension(3)).
% 38.51/37.66 cnf('1.1.1.2.2',plain,[apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 5 ^ []), convergent_lines(5 ^ [], 6 ^ [])],extension(12,bind([[_15209, _15259], [5 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1',plain,[-(convergent_lines(5 ^ [], 6 ^ [])), -(4 ^ [6 ^ [], 6 ^ [], 5 ^ []])],extension(1,bind([[_22836, _22751, _22665], [6 ^ [], 6 ^ [], 5 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1',plain,[4 ^ [6 ^ [], 6 ^ [], 5 ^ []], 3 ^ [6 ^ [], 6 ^ [], 5 ^ []], convergent_lines(6 ^ [], 6 ^ []), unorthogonal_lines(6 ^ [], 6 ^ [])],extension(18,bind([[_22665, _22751, _22836], [5 ^ [], 6 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.1',plain,[-(3 ^ [6 ^ [], 6 ^ [], 5 ^ []]), -(convergent_lines(5 ^ [], 6 ^ []))],extension(2,bind([[_22836, _22665, _22751], [6 ^ [], 5 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.1.1',plain,[convergent_lines(5 ^ [], 6 ^ [])],reduction('1.1.1.2.2')).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.2',plain,[-(convergent_lines(6 ^ [], 6 ^ [])), convergent_lines(6 ^ [], 6 ^ []), -(convergent_lines(6 ^ [], 6 ^ []))],extension(11,bind([[_13996, _14052, _14107], [6 ^ [], 6 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.2.1',plain,[-(convergent_lines(6 ^ [], 6 ^ [])), convergent_lines(5 ^ [], 6 ^ []), -(convergent_lines(5 ^ [], 6 ^ []))],extension(11,bind([[_14052, _13996, _14107], [6 ^ [], 5 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.2.1.1',plain,[-(convergent_lines(5 ^ [], 6 ^ []))],extension(3)).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.2.1.2',plain,[convergent_lines(5 ^ [], 6 ^ [])],reduction('1.1.1.2.2')).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.2.2',plain,[convergent_lines(6 ^ [], 6 ^ [])],extension(9,bind([[_12870], [6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.3',plain,[-(unorthogonal_lines(6 ^ [], 6 ^ [])), -(convergent_lines(6 ^ [], 6 ^ []))],extension(17,bind([[_19865, _19910], [6 ^ [], 6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.2.2.1.1.3.1',plain,[convergent_lines(6 ^ [], 6 ^ [])],extension(9,bind([[_12870], [6 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.3',plain,[apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 8 ^ []), convergent_lines(7 ^ [], 8 ^ [])],extension(13,bind([[_15582, _15632], [7 ^ [], 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.3.1',plain,[-(convergent_lines(7 ^ [], 8 ^ []))],extension(4)).
% 38.51/37.66 cnf('1.1.1.4',plain,[apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 7 ^ []), incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 7 ^ [])],extension(19,bind([[_26780, _26827], [intersection_point(5 ^ [], 6 ^ []), 7 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.4.1',plain,[-(incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 7 ^ []))],extension(5)).
% 38.51/37.66 cnf('1.1.1.5',plain,[apart_point_and_line(intersection_point(5 ^ [], 6 ^ []), 8 ^ []), incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 8 ^ [])],extension(19,bind([[_26780, _26827], [intersection_point(5 ^ [], 6 ^ []), 8 ^ []]]))).
% 38.51/37.66 cnf('1.1.1.5.1',plain,[-(incident_point_and_line(intersection_point(5 ^ [], 6 ^ []), 8 ^ []))],extension(6)).
% 38.51/37.66 %-----------------------------------------------------
% 38.51/37.66
% 38.51/37.66 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------