TSTP Solution File: GEO203+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 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 0.22s 1.34s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.09 % Command : leancop_casc.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat Jun 18 06:09:16 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.22/1.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/1.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/1.35
% 0.22/1.35 %-----------------------------------------------------
% 0.22/1.35 fof(con, conjecture, ! [_18759, _18762, _18765] : (convergent_lines(_18759, _18762) & convergent_lines(_18759, _18765) & distinct_points(intersection_point(_18759, _18762), intersection_point(_18759, _18765)) => ~ distinct_lines(line_connecting(intersection_point(_18759, _18762), intersection_point(_18759, _18765)), _18759)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.22/1.35 fof(ci1, axiom, ! [_19098, _19101] : (distinct_points(_19098, _19101) => ~ apart_point_and_line(_19098, line_connecting(_19098, _19101))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.22/1.35 fof(ci2, axiom, ! [_19267, _19270] : (distinct_points(_19267, _19270) => ~ apart_point_and_line(_19270, line_connecting(_19267, _19270))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.22/1.35 fof(ci3, axiom, ! [_19436, _19439] : (convergent_lines(_19436, _19439) => ~ apart_point_and_line(intersection_point(_19436, _19439), _19436)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.22/1.35 fof(cu1, axiom, ! [_19606, _19609, _19612, _19615] : (distinct_points(_19606, _19609) & distinct_lines(_19612, _19615) => apart_point_and_line(_19606, _19612) | apart_point_and_line(_19606, _19615) | apart_point_and_line(_19609, _19612) | apart_point_and_line(_19609, _19615)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.22/1.35
% 0.22/1.35 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.22/1.35 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.22/1.35 cnf(3, plain, [-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.22/1.35 cnf(4, plain, [-(distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []))], clausify(con)).
% 0.22/1.35 cnf(5, plain, [distinct_points(_8250, _8300), apart_point_and_line(_8250, line_connecting(_8250, _8300))], clausify(ci1)).
% 0.22/1.35 cnf(6, plain, [distinct_points(_8623, _8673), apart_point_and_line(_8673, line_connecting(_8623, _8673))], clausify(ci2)).
% 0.22/1.35 cnf(7, plain, [convergent_lines(_8996, _9046), apart_point_and_line(intersection_point(_8996, _9046), _8996)], clausify(ci3)).
% 0.22/1.35 cnf(8, plain, [distinct_lines(_9899, _9976), distinct_points(_9742, _9821), -(apart_point_and_line(_9742, _9899)), -(apart_point_and_line(_9742, _9976)), -(apart_point_and_line(_9821, _9899)), -(apart_point_and_line(_9821, _9976))], clausify(cu1)).
% 0.22/1.35
% 0.22/1.35 cnf('1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],start(5,bind([[_8250, _8300], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.22/1.35 cnf('1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.22/1.35 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))), distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []))],extension(8,bind([[_9742, _9899, _9821, _9976], [intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.22/1.35 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []))],extension(4)).
% 0.22/1.35 cnf('1.2.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.22/1.35 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_8996, _9046], [1 ^ [], 2 ^ []]]))).
% 0.22/1.35 cnf('1.2.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.22/1.35 cnf('1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(6,bind([[_8623, _8673], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.22/1.35 cnf('1.2.4.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.22/1.35 cnf('1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(7,bind([[_8996, _9046], [1 ^ [], 3 ^ []]]))).
% 0.22/1.35 cnf('1.2.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.22/1.35 %-----------------------------------------------------
% 0.22/1.35
% 0.22/1.35 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------