TSTP Solution File: GEO222+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 1.40s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 07:11:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.81/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.41
% 0.81/1.41 %-----------------------------------------------------
% 0.81/1.41 fof(con, conjecture, ! [_35255, _35258] : ~ convergent_lines(_35258, orthogonal_through_point(orthogonal_through_point(_35258, _35255), _35255)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.81/1.41 fof(cup1, axiom, ! [_35414, _35417, _35420] : (distinct_lines(_35417, _35420) => apart_point_and_line(_35414, _35417) | apart_point_and_line(_35414, _35420) | convergent_lines(_35417, _35420)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cup1)).
% 0.81/1.41 fof(occu1, axiom, ! [_35627, _35630] : (convergent_lines(_35627, _35630) | unorthogonal_lines(_35627, _35630)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 0.81/1.41 fof(oac1, axiom, ! [_35773, _35776, _35779] : (convergent_lines(_35773, _35776) & unorthogonal_lines(_35773, _35776) => convergent_lines(_35773, _35779) & unorthogonal_lines(_35773, _35779) | convergent_lines(_35776, _35779) & unorthogonal_lines(_35776, _35779)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', oac1)).
% 0.81/1.41 fof(ooc1, axiom, ! [_36067, _36070] : ~ unorthogonal_lines(orthogonal_through_point(_36070, _36067), _36070), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 0.81/1.41 fof(ooc2, axiom, ! [_36208, _36211] : ~ apart_point_and_line(_36208, orthogonal_through_point(_36211, _36208)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 0.81/1.41 fof(ouo1, axiom, ! [_36349, _36352, _36355, _36358] : (distinct_lines(_36352, _36355) => apart_point_and_line(_36349, _36352) | apart_point_and_line(_36349, _36355) | unorthogonal_lines(_36352, _36358) | unorthogonal_lines(_36355, _36358)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.81/1.41 fof(apart1, axiom, ! [_36601] : ~ distinct_points(_36601, _36601), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.81/1.41 fof(apart2, axiom, ! [_36715] : ~ distinct_lines(_36715, _36715), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.81/1.41 fof(apart3, axiom, ! [_36829] : ~ convergent_lines(_36829, _36829), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.81/1.41 fof(apart5, axiom, ! [_36944, _36947, _36950] : (distinct_lines(_36944, _36947) => distinct_lines(_36944, _36950) | distinct_lines(_36947, _36950)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.81/1.41 fof(apart6, axiom, ! [_37129, _37132, _37135] : (convergent_lines(_37129, _37132) => convergent_lines(_37129, _37135) | convergent_lines(_37132, _37135)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.81/1.41 fof(con2, axiom, ! [_37316, _37319, _37322] : (convergent_lines(_37316, _37319) => apart_point_and_line(_37322, _37316) | apart_point_and_line(_37322, _37319) => distinct_points(_37322, intersection_point(_37316, _37319))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.81/1.41 fof(ceq3, axiom, ! [_37559, _37562] : (convergent_lines(_37559, _37562) => distinct_lines(_37559, _37562)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.81/1.41
% 0.81/1.41 cnf(1, plain, [-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))], clausify(con)).
% 0.81/1.41 cnf(2, plain, [distinct_lines(_14118, _14179), -(apart_point_and_line(_14056, _14118)), -(apart_point_and_line(_14056, _14179)), -(convergent_lines(_14118, _14179))], clausify(cup1)).
% 0.81/1.41 cnf(3, plain, [-(convergent_lines(_14645, _14690)), -(unorthogonal_lines(_14645, _14690))], clausify(occu1)).
% 0.81/1.41 cnf(4, plain, [unorthogonal_lines(_14955, _15029), convergent_lines(_14955, _15029), -(convergent_lines(_14955, _15102)), -(convergent_lines(_15029, _15102))], clausify(oac1)).
% 0.81/1.41 cnf(5, plain, [unorthogonal_lines(_14955, _15029), convergent_lines(_14955, _15029), -(convergent_lines(_14955, _15102)), -(unorthogonal_lines(_15029, _15102))], clausify(oac1)).
% 0.81/1.41 cnf(6, plain, [unorthogonal_lines(_14955, _15029), convergent_lines(_14955, _15029), -(unorthogonal_lines(_14955, _15102)), -(unorthogonal_lines(_15029, _15102))], clausify(oac1)).
% 0.81/1.41 cnf(7, plain, [unorthogonal_lines(orthogonal_through_point(_15742, _15698), _15742)], clausify(ooc1)).
% 0.81/1.41 cnf(8, plain, [apart_point_and_line(_15985, orthogonal_through_point(_16029, _15985))], clausify(ooc2)).
% 0.81/1.41 cnf(9, plain, [distinct_lines(_16335, _16407), -(apart_point_and_line(_16262, _16335)), -(apart_point_and_line(_16262, _16407)), -(unorthogonal_lines(_16335, _16478)), -(unorthogonal_lines(_16407, _16478))], clausify(ouo1)).
% 0.81/1.41 cnf(10, plain, [distinct_points(_8055, _8055)], clausify(apart1)).
% 0.81/1.41 cnf(11, plain, [distinct_lines(_8247, _8247)], clausify(apart2)).
% 0.81/1.41 cnf(12, plain, [convergent_lines(_8439, _8439)], clausify(apart3)).
% 0.81/1.41 cnf(13, plain, [distinct_lines(_9098, _9154), -(distinct_lines(_9098, _9209)), -(distinct_lines(_9154, _9209))], clausify(apart5)).
% 0.81/1.41 cnf(14, plain, [convergent_lines(_9565, _9621), -(convergent_lines(_9565, _9676)), -(convergent_lines(_9621, _9676))], clausify(apart6)).
% 0.81/1.41 cnf(15, plain, [convergent_lines(_10637, _10702), apart_point_and_line(_10766, _10637), -(distinct_points(_10766, intersection_point(_10637, _10702)))], clausify(con2)).
% 0.81/1.41 cnf(16, plain, [convergent_lines(_10637, _10702), apart_point_and_line(_10766, _10702), -(distinct_points(_10766, intersection_point(_10637, _10702)))], clausify(con2)).
% 0.81/1.41 cnf(17, plain, [convergent_lines(_13007, _13052), -(distinct_lines(_13007, _13052))], clausify(ceq3)).
% 0.81/1.41
% 0.81/1.41 cnf('1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],start(7,bind([[_15698, _15742], [1 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_16262, _16407, _16335, _16478], [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 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(13,bind([[_9098, _9154, _9209], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(13,bind([[_9098, _9154, _9209], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(13,bind([[_9098, _9154, _9209], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(17,bind([[_13007, _13052], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.81/1.41 cnf('1.1.1.1.1.2',plain,[distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(11,bind([[_8247], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.1.2',plain,[distinct_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(11,bind([[_8247], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 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([[_14056, _14118, _14179], [1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.1.2.1',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_16029, _15985], [orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.81/1.41 cnf('1.1.1.2.2',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_16029, _15985], [orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.81/1.41 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(12,bind([[_8439], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 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 ^ [])), -(distinct_points(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))))],extension(15,bind([[_10766, _10637, _10702], [intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), 2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.2.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.81/1.41 cnf('1.1.2.2',plain,[distinct_points(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(10,bind([[_8055], [intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))]]))).
% 0.81/1.41 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 ^ [])), -(distinct_points(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))))],extension(16,bind([[_10766, _10637, _10702], [intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), 2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.3.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(1)).
% 0.81/1.41 cnf('1.1.3.2',plain,[distinct_points(intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(10,bind([[_8055], [intersection_point(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))]]))).
% 0.81/1.41 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([[_14955, _15029, _15102], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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(14,bind([[_9621, _9565, _9676], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_14645, _14690], [orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_15698, _15742], [1 ^ [], 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.1.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(12,bind([[_8439], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_14955, _15029, _15102], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.4.2.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1')).
% 0.81/1.41 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([[_14955, _15029, _15102], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.2.2.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],lemmata('1.1.4.2')).
% 0.81/1.41 cnf('1.1.4.2.2.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(12,bind([[_8439], [2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.2.2.3',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_15698, _15742], [1 ^ [], 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.2.3',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(12,bind([[_8439], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_14955, _15029, _15102], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_15029, _14955, _15102], [orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 cnf('1.1.4.3.1.1',plain,[-(unorthogonal_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1')).
% 0.81/1.41 cnf('1.1.4.3.1.2',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])))],lemmata('1.1.4')).
% 0.81/1.41 cnf('1.1.4.3.1.3',plain,[convergent_lines(2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []))],lemmata('1.1.4')).
% 0.81/1.41 cnf('1.1.4.3.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(12,bind([[_8439], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 0.81/1.41 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([[_14955, _15029, _15102], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.3.3.1',plain,[-(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],reduction('1.1.4')).
% 0.81/1.41 cnf('1.1.4.3.3.2',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_15698, _15742], [1 ^ [], 2 ^ []]]))).
% 0.81/1.41 cnf('1.1.4.3.3.3',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_15698, _15742], [1 ^ [], 2 ^ []]]))).
% 0.81/1.41 %-----------------------------------------------------
% 0.81/1.41
% 0.81/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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