%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 05:03:45 EDT 2022
% Result : Theorem 1.68s 2.45s
% Output : Proof 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 00:14:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.68/2.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/2.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/2.46
% 1.68/2.46 %-----------------------------------------------------
% 1.68/2.46 fof(con, conjecture, ! [_35984, _35987, _35990] : (unorthogonal_lines(_35984, _35987) => distinct_lines(_35984, _35990) | unorthogonal_lines(_35987, _35990)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.68/2.46 fof(cup1, axiom, ! [_36193, _36196, _36199] : (distinct_lines(_36196, _36199) => apart_point_and_line(_36193, _36196) | apart_point_and_line(_36193, _36199) | convergent_lines(_36196, _36199)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cup1)).
% 1.68/2.46 fof(occu1, axiom, ! [_36406, _36409] : (convergent_lines(_36406, _36409) | unorthogonal_lines(_36406, _36409)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 1.68/2.46 fof(oac1, axiom, ! [_36553, _36556, _36559] : (convergent_lines(_36553, _36556) & unorthogonal_lines(_36553, _36556) => convergent_lines(_36553, _36559) & unorthogonal_lines(_36553, _36559) | convergent_lines(_36556, _36559) & unorthogonal_lines(_36556, _36559)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', oac1)).
% 1.68/2.46 fof(apart3, axiom, ! [_36840] : ~ convergent_lines(_36840, _36840), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 1.68/2.46 fof(apart5, axiom, ! [_36955, _36958, _36961] : (distinct_lines(_36955, _36958) => distinct_lines(_36955, _36961) | distinct_lines(_36958, _36961)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 1.68/2.46 fof(ax6, axiom, ! [_37140, _37143, _37146] : (convergent_lines(_37140, _37143) => convergent_lines(_37140, _37146) | convergent_lines(_37143, _37146)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 1.68/2.46 fof(ci3, axiom, ! [_37327, _37330] : (convergent_lines(_37327, _37330) => ~ apart_point_and_line(intersection_point(_37327, _37330), _37327)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 1.68/2.46 fof(ci4, axiom, ! [_37496, _37499] : (convergent_lines(_37496, _37499) => ~ apart_point_and_line(intersection_point(_37496, _37499), _37499)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 1.68/2.46 fof(ceq2, axiom, ! [_37667, _37670, _37673] : (apart_point_and_line(_37667, _37670) => distinct_lines(_37670, _37673) | apart_point_and_line(_37667, _37673)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 1.68/2.46 fof(ceq3, axiom, ! [_37852, _37855, _37858] : (convergent_lines(_37852, _37855) => distinct_lines(_37855, _37858) | convergent_lines(_37852, _37858)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 1.68/2.46
% 1.68/2.46 cnf(1, plain, [-(unorthogonal_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 1.68/2.46 cnf(2, plain, [distinct_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 1.68/2.46 cnf(3, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 1.68/2.46 cnf(4, plain, [distinct_lines(_14909, _14970), -(apart_point_and_line(_14847, _14909)), -(apart_point_and_line(_14847, _14970)), -(convergent_lines(_14909, _14970))], clausify(cup1)).
% 1.68/2.46 cnf(5, plain, [-(convergent_lines(_15436, _15481)), -(unorthogonal_lines(_15436, _15481))], clausify(occu1)).
% 1.68/2.46 cnf(6, plain, [unorthogonal_lines(_15746, _15820), convergent_lines(_15746, _15820), -(convergent_lines(_15746, _15893)), -(unorthogonal_lines(_15820, _15893))], clausify(oac1)).
% 1.68/2.46 cnf(7, plain, [unorthogonal_lines(_15746, _15820), convergent_lines(_15746, _15820), -(unorthogonal_lines(_15746, _15893)), -(convergent_lines(_15820, _15893))], clausify(oac1)).
% 1.68/2.46 cnf(8, plain, [convergent_lines(_8761, _8761)], clausify(apart3)).
% 1.68/2.46 cnf(9, plain, [distinct_lines(_9420, _9476), -(distinct_lines(_9420, _9531)), -(distinct_lines(_9476, _9531))], clausify(apart5)).
% 1.68/2.46 cnf(10, plain, [convergent_lines(_9887, _9943), -(convergent_lines(_9887, _9998)), -(convergent_lines(_9943, _9998))], clausify(ax6)).
% 1.68/2.46 cnf(11, plain, [convergent_lines(_11100, _11150), apart_point_and_line(intersection_point(_11100, _11150), _11100)], clausify(ci3)).
% 1.68/2.46 cnf(12, plain, [convergent_lines(_11473, _11523), apart_point_and_line(intersection_point(_11473, _11523), _11523)], clausify(ci4)).
% 1.68/2.46 cnf(13, plain, [apart_point_and_line(_13154, _13210), -(distinct_lines(_13210, _13265)), -(apart_point_and_line(_13154, _13265))], clausify(ceq2)).
% 1.68/2.46 cnf(14, plain, [convergent_lines(_13611, _13667), -(distinct_lines(_13667, _13722)), -(convergent_lines(_13611, _13722))], clausify(ceq3)).
% 1.68/2.46
% 1.68/2.46 cnf('1',plain,[distinct_lines(1 ^ [], 3 ^ [])],start(2)).
% 1.68/2.46 cnf('1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []))],extension(13,bind([[_13210, _13154, _13265], [1 ^ [], intersection_point(2 ^ [], 3 ^ []), 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), -(convergent_lines(2 ^ [], 1 ^ []))],extension(4,bind([[_14847, _14909, _14970], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(3 ^ [], 1 ^ []))],extension(9,bind([[_9476, _9420, _9531], [2 ^ [], 3 ^ [], 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1',plain,[-(distinct_lines(3 ^ [], 2 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(9,bind([[_9420, _9476, _9531], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.1',plain,[-(distinct_lines(3 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 3 ^ []), -(convergent_lines(2 ^ [], 2 ^ []))],extension(14,bind([[_13667, _13611, _13722], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_15436, _15481], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.1.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.68/2.46 cnf('1.1.1.1.1.1.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(8,bind([[_8761], [2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), -(convergent_lines(2 ^ [], 2 ^ []))],extension(4,bind([[_14847, _14909, _14970], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.2.1',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []), -(distinct_lines(2 ^ [], 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ []))],extension(13,bind([[_13210, _13154, _13265], [2 ^ [], intersection_point(2 ^ [], 3 ^ []), 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.1.2.1.1',plain,[distinct_lines(2 ^ [], 1 ^ [])],reduction('1.1.1')).
% 1.68/2.46 cnf('1.1.1.1.1.2.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])],reduction('1.1')).
% 1.68/2.46 cnf('1.1.1.1.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])],lemmata('1.1.1.1.1.2')).
% 1.68/2.46 cnf('1.1.1.1.1.2.3',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(8,bind([[_8761], [2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.2',plain,[distinct_lines(3 ^ [], 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])), -(convergent_lines(3 ^ [], 1 ^ []))],extension(4,bind([[_14847, _14909, _14970], [intersection_point(2 ^ [], 3 ^ []), 3 ^ [], 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.2.1',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ [])],extension(12,bind([[_11473, _11523], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.2.1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_15436, _15481], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.2.1.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.68/2.46 cnf('1.1.1.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])],reduction('1.1')).
% 1.68/2.46 cnf('1.1.1.1.2.3',plain,[convergent_lines(3 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 3 ^ [])), -(convergent_lines(3 ^ [], 3 ^ []))],extension(14,bind([[_13667, _13611, _13722], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.1.2.3.1',plain,[distinct_lines(1 ^ [], 3 ^ [])],extension(2)).
% 1.68/2.46 cnf('1.1.1.1.2.3.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(8,bind([[_8761], [3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []), convergent_lines(2 ^ [], 3 ^ [])],extension(11,bind([[_11100, _11150], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_15436, _15481], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.2.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.68/2.46 cnf('1.1.1.3',plain,[convergent_lines(2 ^ [], 1 ^ []), unorthogonal_lines(2 ^ [], 1 ^ []), -(unorthogonal_lines(2 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(7,bind([[_15746, _15820, _15893], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.1',plain,[-(unorthogonal_lines(2 ^ [], 1 ^ [])), unorthogonal_lines(1 ^ [], 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_15820, _15746, _15893], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.1.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.68/2.46 cnf('1.1.1.3.1.2',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ []))],extension(10,bind([[_9943, _9887, _9998], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.1.2.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1.1')).
% 1.68/2.46 cnf('1.1.1.3.1.2.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(8,bind([[_8761], [2 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.1.3',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(8,bind([[_8761], [1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.2',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.68/2.46 cnf('1.1.1.3.3',plain,[convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(1 ^ [], 1 ^ [])), -(convergent_lines(3 ^ [], 1 ^ []))],extension(10,bind([[_9887, _9943, _9998], [1 ^ [], 3 ^ [], 1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.3.1',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(8,bind([[_8761], [1 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.3.2',plain,[convergent_lines(3 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 3 ^ [])), -(convergent_lines(3 ^ [], 3 ^ []))],extension(14,bind([[_13667, _13611, _13722], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.1.3.3.2.1',plain,[distinct_lines(1 ^ [], 3 ^ [])],extension(2)).
% 1.68/2.46 cnf('1.1.1.3.3.2.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(8,bind([[_8761], [3 ^ []]]))).
% 1.68/2.46 cnf('1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ [])],extension(12,bind([[_11473, _11523], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_15436, _15481], [2 ^ [], 3 ^ []]]))).
% 1.68/2.46 cnf('1.1.2.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.68/2.46 %-----------------------------------------------------
% 1.68/2.46
% 1.68/2.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------