TSTP Solution File: GEO222+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 05:03:54 EDT 2022
% Result : Theorem 0.81s 1.45s
% Output : Proof 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 21:01:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.81/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/1.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/1.46
% 0.89/1.46 %-----------------------------------------------------
% 0.89/1.46 fof(con, conjecture, ! [_34996, _34999] : ~ convergent_lines(_34999, orthogonal_through_point(orthogonal_through_point(_34999, _34996), _34996)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.89/1.46 fof(cup1, axiom, ! [_35155, _35158, _35161] : (distinct_lines(_35158, _35161) => apart_point_and_line(_35155, _35158) | apart_point_and_line(_35155, _35161) | convergent_lines(_35158, _35161)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cup1)).
% 0.89/1.46 fof(occu1, axiom, ! [_35368, _35371] : (convergent_lines(_35368, _35371) | unorthogonal_lines(_35368, _35371)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 0.89/1.46 fof(oac1, axiom, ! [_35514, _35517, _35520] : (convergent_lines(_35514, _35517) & unorthogonal_lines(_35514, _35517) => convergent_lines(_35514, _35520) & unorthogonal_lines(_35514, _35520) | convergent_lines(_35517, _35520) & unorthogonal_lines(_35517, _35520)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', oac1)).
% 0.89/1.46 fof(ooc1, axiom, ! [_35808, _35811] : ~ unorthogonal_lines(orthogonal_through_point(_35811, _35808), _35811), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 0.89/1.46 fof(ooc2, axiom, ! [_35949, _35952] : ~ apart_point_and_line(_35949, orthogonal_through_point(_35952, _35949)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 0.89/1.46 fof(ouo1, axiom, ! [_36090, _36093, _36096, _36099] : (distinct_lines(_36093, _36096) => apart_point_and_line(_36090, _36093) | apart_point_and_line(_36090, _36096) | unorthogonal_lines(_36093, _36099) | unorthogonal_lines(_36096, _36099)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.89/1.46 fof(apart2, axiom, ! [_36343] : ~ distinct_lines(_36343, _36343), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.89/1.46 fof(apart3, axiom, ! [_36457] : ~ convergent_lines(_36457, _36457), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.89/1.46 fof(apart5, axiom, ! [_36572, _36575, _36578] : (distinct_lines(_36572, _36575) => distinct_lines(_36572, _36578) | distinct_lines(_36575, _36578)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.89/1.46 fof(ax6, axiom, ! [_36757, _36760, _36763] : (convergent_lines(_36757, _36760) => convergent_lines(_36757, _36763) | convergent_lines(_36760, _36763)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.89/1.46 fof(ci3, axiom, ! [_36944, _36947] : (convergent_lines(_36944, _36947) => ~ apart_point_and_line(intersection_point(_36944, _36947), _36944)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.89/1.46 fof(ci4, axiom, ! [_37113, _37116] : (convergent_lines(_37113, _37116) => ~ apart_point_and_line(intersection_point(_37113, _37116), _37116)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.89/1.46 fof(ceq3, axiom, ! [_37285, _37288, _37291] : (convergent_lines(_37285, _37288) => distinct_lines(_37288, _37291) | convergent_lines(_37285, _37291)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.89/1.46
% 0.89/1.46 cnf(1, plain, [-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))], clausify(con)).
% 0.89/1.46 cnf(2, plain, [distinct_lines(_14889, _14950), -(apart_point_and_line(_14827, _14889)), -(apart_point_and_line(_14827, _14950)), -(convergent_lines(_14889, _14950))], clausify(cup1)).
% 0.89/1.46 cnf(3, plain, [-(convergent_lines(_15416, _15461)), -(unorthogonal_lines(_15416, _15461))], clausify(occu1)).
% 0.89/1.46 cnf(4, plain, [unorthogonal_lines(_15726, _15800), convergent_lines(_15726, _15800), -(convergent_lines(_15726, _15873)), -(convergent_lines(_15800, _15873))], clausify(oac1)).
% 0.89/1.46 cnf(5, plain, [unorthogonal_lines(_15726, _15800), convergent_lines(_15726, _15800), -(convergent_lines(_15726, _15873)), -(unorthogonal_lines(_15800, _15873))], clausify(oac1)).
% 0.89/1.46 cnf(6, plain, [unorthogonal_lines(_15726, _15800), convergent_lines(_15726, _15800), -(unorthogonal_lines(_15726, _15873)), -(unorthogonal_lines(_15800, _15873))], clausify(oac1)).
% 0.89/1.46 cnf(7, plain, [unorthogonal_lines(orthogonal_through_point(_16513, _16469), _16513)], clausify(ooc1)).
% 0.89/1.46 cnf(8, plain, [apart_point_and_line(_16756, orthogonal_through_point(_16800, _16756))], clausify(ooc2)).
% 0.89/1.46 cnf(9, plain, [distinct_lines(_17106, _17178), -(apart_point_and_line(_17033, _17106)), -(apart_point_and_line(_17033, _17178)), -(unorthogonal_lines(_17106, _17249)), -(unorthogonal_lines(_17178, _17249))], clausify(ouo1)).
% 0.89/1.46 cnf(10, plain, [distinct_lines(_8549, _8549)], clausify(apart2)).
% 0.89/1.46 cnf(11, plain, [convergent_lines(_8741, _8741)], clausify(apart3)).
% 0.89/1.46 cnf(12, plain, [distinct_lines(_9400, _9456), -(distinct_lines(_9400, _9511)), -(distinct_lines(_9456, _9511))], clausify(apart5)).
% 0.89/1.46 cnf(13, plain, [convergent_lines(_9867, _9923), -(convergent_lines(_9867, _9978)), -(convergent_lines(_9923, _9978))], clausify(ax6)).
% 0.89/1.46 cnf(14, plain, [convergent_lines(_11080, _11130), apart_point_and_line(intersection_point(_11080, _11130), _11080)], clausify(ci3)).
% 0.89/1.46 cnf(15, plain, [convergent_lines(_11453, _11503), apart_point_and_line(intersection_point(_11453, _11503), _11503)], clausify(ci4)).
% 0.89/1.46 cnf(16, plain, [convergent_lines(_13591, _13647), -(distinct_lines(_13647, _13702)), -(convergent_lines(_13591, _13702))], clausify(ceq3)).
% 0.89/1.46
% 0.89/1.46 cnf('1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],start(7,bind([[_16469, _16513], [1 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1',plain,[-(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(9,bind([[_17033, _17178, _17106, _17249], [intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ []), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(12,bind([[_9456, _9400, _9511], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ [])), distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(12,bind([[_9400, _9456, _9511], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ [], 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.1.1',plain,[-(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ [])), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(2 ^ [], 2 ^ []))],extension(16,bind([[_13647, _13591, _13702], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), 2 ^ [], 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.89/1.46 cnf('1.1.1.1.1.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(11,bind([[_8741], [2 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(10,bind([[_8549], [2 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.2',plain,[distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(2,bind([[_14827, _14889, _14950], [1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.1.2.1',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_16800, _16756], [orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.2.2',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_16800, _16756], [orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.89/1.46 cnf('1.1.1.2.3',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(11,bind([[_8741], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), 2 ^ []), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(14,bind([[_11080, _11130], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.2.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.89/1.46 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(15,bind([[_11453, _11503], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.3.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.89/1.46 cnf('1.1.4',plain,[unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []))), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(4,bind([[_15726, _15800, _15873], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []))), convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(13,bind([[_9923, _9867, _9978], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.1.1',plain,[-(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(3,bind([[_15416, _15461], [orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_16469, _16513], [1 ^ [], 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.1.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(11,bind([[_8741], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.2',plain,[convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []))), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(4,bind([[_15726, _15800, _15873], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.2.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1')).
% 0.89/1.46 cnf('1.1.4.2.2',plain,[convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], 2 ^ [])), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(5,bind([[_15726, _15800, _15873], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.2.2.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],lemmata('1.1.4.2')).
% 0.89/1.46 cnf('1.1.4.2.2.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(11,bind([[_8741], [2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.2.2.3',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_16469, _16513], [1 ^ [], 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.2.3',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(11,bind([[_8741], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.3',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(5,bind([[_15726, _15800, _15873], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.3.1',plain,[-(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(5,bind([[_15800, _15726, _15873], [orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.3.1.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1')).
% 0.89/1.46 cnf('1.1.4.3.1.2',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],lemmata('1.1.4')).
% 0.89/1.46 cnf('1.1.4.3.1.3',plain,[convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []))],lemmata('1.1.4')).
% 0.89/1.46 cnf('1.1.4.3.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(11,bind([[_8741], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.89/1.46 cnf('1.1.4.3.3',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(6,bind([[_15726, _15800, _15873], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.3.3.1',plain,[-(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1.4')).
% 0.89/1.46 cnf('1.1.4.3.3.2',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_16469, _16513], [1 ^ [], 2 ^ []]]))).
% 0.89/1.46 cnf('1.1.4.3.3.3',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_16469, _16513], [1 ^ [], 2 ^ []]]))).
% 0.89/1.46 %-----------------------------------------------------
% 0.89/1.47
% 0.89/1.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------