TSTP Solution File: GEO202+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 05:03:37 EDT 2022
% Result : Theorem 0.26s 1.35s
% Output : Proof 0.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO202+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : leancop_casc.sh %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Fri Jun 17 17:04:01 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.26/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.36 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.36
% 0.26/1.36 %-----------------------------------------------------
% 0.26/1.36 fof(con, conjecture, ! [_41262, _41265, _41268] : (distinct_points(_41262, _41265) & distinct_points(_41262, _41268) & convergent_lines(line_connecting(_41262, _41265), line_connecting(_41262, _41268)) => equal_points(intersection_point(line_connecting(_41262, _41265), line_connecting(_41262, _41268)), _41262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.26/1.36 fof(apart1, axiom, ! [_41588] : ~ distinct_points(_41588, _41588), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.26/1.36 fof(apart3, axiom, ! [_41703] : ~ convergent_lines(_41703, _41703), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.26/1.36 fof(apart4, axiom, ! [_41817, _41820, _41823] : (distinct_points(_41817, _41820) => distinct_points(_41817, _41823) | distinct_points(_41820, _41823)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.26/1.36 fof(ci1, axiom, ! [_42004, _42007] : (distinct_points(_42004, _42007) => ~ apart_point_and_line(_42004, line_connecting(_42004, _42007))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.26/1.36 fof(ci3, axiom, ! [_42174, _42177] : (convergent_lines(_42174, _42177) => ~ apart_point_and_line(intersection_point(_42174, _42177), _42174)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.26/1.36 fof(ci4, axiom, ! [_42343, _42346] : (convergent_lines(_42343, _42346) => ~ apart_point_and_line(intersection_point(_42343, _42346), _42346)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.26/1.36 fof(cu1, axiom, ! [_42512, _42515, _42518, _42521] : (distinct_points(_42512, _42515) & distinct_lines(_42518, _42521) => apart_point_and_line(_42512, _42518) | apart_point_and_line(_42512, _42521) | apart_point_and_line(_42515, _42518) | apart_point_and_line(_42515, _42521)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.26/1.36 fof(ceq3, axiom, ! [_42794, _42797, _42800] : (convergent_lines(_42794, _42797) => distinct_lines(_42797, _42800) | convergent_lines(_42794, _42800)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.26/1.36 fof(ax1, axiom, ! [_43002, _43005] : (equal_points(_43002, _43005) <=> ~ distinct_points(_43002, _43005)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax1)).
% 0.26/1.36
% 0.26/1.36 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.26/1.36 cnf(2, plain, [-(distinct_points(1 ^ [], 3 ^ []))], clausify(con)).
% 0.26/1.36 cnf(3, plain, [-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.26/1.36 cnf(4, plain, [equal_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [])], clausify(con)).
% 0.26/1.36 cnf(5, plain, [distinct_points(_12339, _12339)], clausify(apart1)).
% 0.26/1.36 cnf(6, plain, [convergent_lines(_12723, _12723)], clausify(apart3)).
% 0.26/1.36 cnf(7, plain, [distinct_points(_12915, _12971), -(distinct_points(_12915, _13026)), -(distinct_points(_12971, _13026))], clausify(apart4)).
% 0.26/1.36 cnf(8, plain, [distinct_points(_14316, _14366), apart_point_and_line(_14316, line_connecting(_14316, _14366))], clausify(ci1)).
% 0.26/1.36 cnf(9, plain, [convergent_lines(_15062, _15112), apart_point_and_line(intersection_point(_15062, _15112), _15062)], clausify(ci3)).
% 0.26/1.36 cnf(10, plain, [convergent_lines(_15435, _15485), apart_point_and_line(intersection_point(_15435, _15485), _15485)], clausify(ci4)).
% 0.26/1.36 cnf(11, plain, [distinct_lines(_15965, _16042), distinct_points(_15808, _15887), -(apart_point_and_line(_15808, _15965)), -(apart_point_and_line(_15808, _16042)), -(apart_point_and_line(_15887, _15965)), -(apart_point_and_line(_15887, _16042))], clausify(cu1)).
% 0.26/1.36 cnf(12, plain, [convergent_lines(_17573, _17629), -(distinct_lines(_17629, _17684)), -(convergent_lines(_17573, _17684))], clausify(ceq3)).
% 0.26/1.36 cnf(13, plain, [-(equal_points(_25643, _25690)), -(distinct_points(_25643, _25690))], clausify(ax1)).
% 0.26/1.36
% 0.26/1.36 cnf('1',plain,[convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []))],start(9,bind([[_15112, _15062], [line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.26/1.36 cnf('1.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.26/1.36 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []), -(apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(11,bind([[_15808, _15965, _15887, _16042], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 3 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.26/1.36 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), -(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(12,bind([[_17629, _17573, _17684], [line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.26/1.36 cnf('1.2.1.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.26/1.36 cnf('1.2.1.2',plain,[convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_12723], [line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.26/1.36 cnf('1.2.2',plain,[-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [])), distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_12915, _12971, _13026], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [], 1 ^ []]]))).
% 0.26/1.36 cnf('1.2.2.1',plain,[-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [])), -(equal_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []))],extension(13,bind([[_25643, _25690], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []]]))).
% 0.26/1.36 cnf('1.2.2.1.1',plain,[equal_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [])],extension(4)).
% 0.26/1.36 cnf('1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_12339], [1 ^ []]]))).
% 0.26/1.36 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 3 ^ [])), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))],extension(10,bind([[_15435, _15485], [line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.26/1.36 cnf('1.2.3.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.26/1.36 cnf('1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(8,bind([[_14316, _14366], [1 ^ [], 3 ^ []]]))).
% 0.26/1.36 cnf('1.2.4.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.26/1.36 cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(8,bind([[_14316, _14366], [1 ^ [], 2 ^ []]]))).
% 0.26/1.36 cnf('1.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.26/1.36 %-----------------------------------------------------
% 0.26/1.36
% 0.26/1.37 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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