%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO185+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 05:03:22 EDT 2022
% Result : Theorem 32.28s 31.49s
% Output : Proof 32.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % 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 17:28:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 32.28/31.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.28/31.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.28/31.51
% 32.28/31.51 %-----------------------------------------------------
% 32.28/31.51 fof(cotno1, axiom, ! [_42765, _42768, _42771] : ((~ convergent_lines(_42765, _42768) | ~ unorthogonal_lines(_42765, _42768)) & (~ convergent_lines(_42765, _42771) | ~ unorthogonal_lines(_42765, _42771)) => ~ convergent_lines(_42768, _42771) | ~ unorthogonal_lines(_42768, _42771)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 32.28/31.51 fof(con, conjecture, ! [_43093, _43096, _43099, _43102] : (distinct_points(_43093, _43096) & convergent_lines(_43099, _43102) & equal_points(_43093, intersection_point(_43099, _43102)) => incident_point_and_line(_43093, _43099) & incident_point_and_line(_43093, _43102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 32.28/31.51 fof(apart3, axiom, ! [_43387] : ~ convergent_lines(_43387, _43387), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 32.28/31.51 fof(ax6, axiom, ! [_43503, _43506, _43509] : (convergent_lines(_43503, _43506) => convergent_lines(_43503, _43509) | convergent_lines(_43506, _43509)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 32.28/31.51 fof(ci3, axiom, ! [_43690, _43693] : (convergent_lines(_43690, _43693) => ~ apart_point_and_line(intersection_point(_43690, _43693), _43690)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 32.28/31.51 fof(ci4, axiom, ! [_43859, _43862] : (convergent_lines(_43859, _43862) => ~ apart_point_and_line(intersection_point(_43859, _43862), _43862)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 32.28/31.51 fof(ceq1, axiom, ! [_44029, _44032, _44035] : (apart_point_and_line(_44029, _44032) => distinct_points(_44029, _44035) | apart_point_and_line(_44035, _44032)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 32.28/31.51 fof(occu1, axiom, ! [_44220, _44223] : (convergent_lines(_44220, _44223) | unorthogonal_lines(_44220, _44223)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 32.28/31.51 fof(ax1, axiom, ! [_44387, _44390] : (equal_points(_44387, _44390) <=> ~ distinct_points(_44387, _44390)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax1)).
% 32.28/31.51 fof(a4, axiom, ! [_44546, _44549] : (incident_point_and_line(_44546, _44549) <=> ~ apart_point_and_line(_44546, _44549)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 32.28/31.51
% 32.28/31.51 cnf(1, plain, [-(4 ^ [_22748, _22663, _22577]), -(convergent_lines(_22577, _22748))], clausify(cotno1)).
% 32.28/31.51 cnf(2, plain, [-(3 ^ [_22748, _22663, _22577]), -(convergent_lines(_22577, _22663))], clausify(cotno1)).
% 32.28/31.51 cnf(3, plain, [-(convergent_lines(7 ^ [], 8 ^ []))], clausify(con)).
% 32.28/31.51 cnf(4, plain, [-(equal_points(5 ^ [], intersection_point(7 ^ [], 8 ^ [])))], clausify(con)).
% 32.28/31.51 cnf(5, plain, [incident_point_and_line(5 ^ [], 7 ^ []), incident_point_and_line(5 ^ [], 8 ^ [])], clausify(con)).
% 32.28/31.51 cnf(6, plain, [convergent_lines(_12782, _12782)], clausify(apart3)).
% 32.28/31.51 cnf(7, plain, [convergent_lines(_13908, _13964), -(convergent_lines(_13908, _14019)), -(convergent_lines(_13964, _14019))], clausify(ax6)).
% 32.28/31.51 cnf(8, plain, [convergent_lines(_15121, _15171), apart_point_and_line(intersection_point(_15121, _15171), _15121)], clausify(ci3)).
% 32.28/31.51 cnf(9, plain, [convergent_lines(_15494, _15544), apart_point_and_line(intersection_point(_15494, _15544), _15544)], clausify(ci4)).
% 32.28/31.51 cnf(10, plain, [apart_point_and_line(_16708, _16764), -(distinct_points(_16708, _16819)), -(apart_point_and_line(_16819, _16764))], clausify(ceq1)).
% 32.28/31.51 cnf(11, plain, [-(convergent_lines(_19777, _19822)), -(unorthogonal_lines(_19777, _19822))], clausify(occu1)).
% 32.28/31.51 cnf(12, plain, [4 ^ [_22748, _22663, _22577], 3 ^ [_22748, _22663, _22577], convergent_lines(_22663, _22748), unorthogonal_lines(_22663, _22748)], clausify(cotno1)).
% 32.28/31.51 cnf(13, plain, [equal_points(_25702, _25749), distinct_points(_25702, _25749)], clausify(ax1)).
% 32.28/31.51 cnf(14, plain, [-(incident_point_and_line(_26692, _26739)), -(apart_point_and_line(_26692, _26739))], clausify(a4)).
% 32.28/31.51
% 32.28/31.51 cnf('1',plain,[-(equal_points(5 ^ [], intersection_point(7 ^ [], 8 ^ [])))],start(4)).
% 32.28/31.51 cnf('1.1',plain,[equal_points(5 ^ [], intersection_point(7 ^ [], 8 ^ [])), distinct_points(5 ^ [], intersection_point(7 ^ [], 8 ^ []))],extension(13,bind([[_25702, _25749], [5 ^ [], intersection_point(7 ^ [], 8 ^ [])]]))).
% 32.28/31.51 cnf('1.1.1',plain,[-(distinct_points(5 ^ [], intersection_point(7 ^ [], 8 ^ []))), apart_point_and_line(5 ^ [], 7 ^ []), -(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 7 ^ []))],extension(10,bind([[_16708, _16819, _16764], [5 ^ [], intersection_point(7 ^ [], 8 ^ []), 7 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.1',plain,[-(apart_point_and_line(5 ^ [], 7 ^ [])), -(incident_point_and_line(5 ^ [], 7 ^ []))],extension(14,bind([[_26692, _26739], [5 ^ [], 7 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.1.1',plain,[incident_point_and_line(5 ^ [], 7 ^ []), incident_point_and_line(5 ^ [], 8 ^ [])],extension(5)).
% 32.28/31.51 cnf('1.1.1.1.1.1',plain,[-(incident_point_and_line(5 ^ [], 8 ^ [])), -(apart_point_and_line(5 ^ [], 8 ^ []))],extension(14,bind([[_26692, _26739], [5 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.1.1.1.1',plain,[apart_point_and_line(5 ^ [], 8 ^ []), -(distinct_points(5 ^ [], intersection_point(7 ^ [], 8 ^ []))), -(apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 8 ^ []))],extension(10,bind([[_16708, _16819, _16764], [5 ^ [], intersection_point(7 ^ [], 8 ^ []), 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.1.1.1.1.1',plain,[distinct_points(5 ^ [], intersection_point(7 ^ [], 8 ^ []))],reduction('1.1')).
% 32.28/31.51 cnf('1.1.1.1.1.1.1.2',plain,[apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 8 ^ []), convergent_lines(7 ^ [], 8 ^ [])],extension(9,bind([[_15494, _15544], [7 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.1.1.1.1.2.1',plain,[-(convergent_lines(7 ^ [], 8 ^ []))],extension(3)).
% 32.28/31.51 cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(7 ^ [], 8 ^ []), 7 ^ []), convergent_lines(7 ^ [], 8 ^ [])],extension(8,bind([[_15121, _15171], [7 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1',plain,[-(convergent_lines(7 ^ [], 8 ^ [])), -(4 ^ [8 ^ [], 8 ^ [], 7 ^ []])],extension(1,bind([[_22748, _22663, _22577], [8 ^ [], 8 ^ [], 7 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1',plain,[4 ^ [8 ^ [], 8 ^ [], 7 ^ []], 3 ^ [8 ^ [], 8 ^ [], 7 ^ []], convergent_lines(8 ^ [], 8 ^ []), unorthogonal_lines(8 ^ [], 8 ^ [])],extension(12,bind([[_22577, _22663, _22748], [7 ^ [], 8 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.1',plain,[-(3 ^ [8 ^ [], 8 ^ [], 7 ^ []]), -(convergent_lines(7 ^ [], 8 ^ []))],extension(2,bind([[_22748, _22577, _22663], [8 ^ [], 7 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.1.1',plain,[convergent_lines(7 ^ [], 8 ^ [])],reduction('1.1.1.2')).
% 32.28/31.51 cnf('1.1.1.2.1.1.2',plain,[-(convergent_lines(8 ^ [], 8 ^ [])), convergent_lines(8 ^ [], 8 ^ []), -(convergent_lines(8 ^ [], 8 ^ []))],extension(7,bind([[_13908, _13964, _14019], [8 ^ [], 8 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.2.1',plain,[-(convergent_lines(8 ^ [], 8 ^ [])), convergent_lines(7 ^ [], 8 ^ []), -(convergent_lines(7 ^ [], 8 ^ []))],extension(7,bind([[_13964, _13908, _14019], [8 ^ [], 7 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.2.1.1',plain,[-(convergent_lines(7 ^ [], 8 ^ []))],extension(3)).
% 32.28/31.51 cnf('1.1.1.2.1.1.2.1.2',plain,[convergent_lines(7 ^ [], 8 ^ [])],reduction('1.1.1.2')).
% 32.28/31.51 cnf('1.1.1.2.1.1.2.2',plain,[convergent_lines(8 ^ [], 8 ^ [])],extension(6,bind([[_12782], [8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.3',plain,[-(unorthogonal_lines(8 ^ [], 8 ^ [])), -(convergent_lines(8 ^ [], 8 ^ []))],extension(11,bind([[_19777, _19822], [8 ^ [], 8 ^ []]]))).
% 32.28/31.51 cnf('1.1.1.2.1.1.3.1',plain,[convergent_lines(8 ^ [], 8 ^ [])],extension(6,bind([[_12782], [8 ^ []]]))).
% 32.28/31.51 %-----------------------------------------------------
% 32.28/31.51
% 32.28/31.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------