TSTP Solution File: GEO203+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 0.53s 1.40s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 15:42:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/1.41
% 0.53/1.41 %-----------------------------------------------------
% 0.53/1.41 fof(con, conjecture, ! [_20559, _20562, _20565] : (convergent_lines(_20559, _20562) & convergent_lines(_20559, _20565) & distinct_points(intersection_point(_20559, _20562), intersection_point(_20559, _20565)) => ~ distinct_lines(line_connecting(intersection_point(_20559, _20562), intersection_point(_20559, _20565)), _20559)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.53/1.41 fof(apart1, axiom, ! [_20892] : ~ distinct_points(_20892, _20892), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.53/1.41 fof(apart4, axiom, ! [_21008, _21011, _21014] : (distinct_points(_21008, _21011) => distinct_points(_21008, _21014) | distinct_points(_21011, _21014)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.53/1.41 fof(con1, axiom, ! [_21195, _21198, _21201] : (distinct_points(_21195, _21198) => apart_point_and_line(_21201, line_connecting(_21195, _21198)) => distinct_points(_21201, _21195) & distinct_points(_21201, _21198)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.53/1.41 fof(con2, axiom, ! [_21436, _21439, _21442] : (convergent_lines(_21436, _21439) => apart_point_and_line(_21442, _21436) | apart_point_and_line(_21442, _21439) => distinct_points(_21442, intersection_point(_21436, _21439))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.53/1.41 fof(cu1, axiom, ! [_21666, _21669, _21672, _21675] : (distinct_points(_21666, _21669) & distinct_lines(_21672, _21675) => apart_point_and_line(_21666, _21672) | apart_point_and_line(_21666, _21675) | apart_point_and_line(_21669, _21672) | apart_point_and_line(_21669, _21675)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.53/1.41
% 0.53/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.53/1.41 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.53/1.41 cnf(3, plain, [-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.53/1.41 cnf(4, plain, [-(distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []))], clausify(con)).
% 0.53/1.41 cnf(5, plain, [distinct_points(_5939, _5939)], clausify(apart1)).
% 0.53/1.41 cnf(6, plain, [distinct_points(_6515, _6571), -(distinct_points(_6515, _6626)), -(distinct_points(_6571, _6626))], clausify(apart4)).
% 0.53/1.41 cnf(7, plain, [distinct_points(_7916, _7981), apart_point_and_line(_8045, line_connecting(_7916, _7981)), -(distinct_points(_8045, _7916))], clausify(con1)).
% 0.53/1.41 cnf(8, plain, [distinct_points(_7916, _7981), apart_point_and_line(_8045, line_connecting(_7916, _7981)), -(distinct_points(_8045, _7981))], clausify(con1)).
% 0.53/1.41 cnf(9, plain, [convergent_lines(_8521, _8586), apart_point_and_line(_8650, _8521), -(distinct_points(_8650, intersection_point(_8521, _8586)))], clausify(con2)).
% 0.53/1.41 cnf(10, plain, [distinct_lines(_9283, _9360), distinct_points(_9126, _9205), -(apart_point_and_line(_9126, _9283)), -(apart_point_and_line(_9126, _9360)), -(apart_point_and_line(_9205, _9283)), -(apart_point_and_line(_9205, _9360))], clausify(cu1)).
% 0.53/1.41
% 0.53/1.41 cnf('1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],start(5,bind([[_5939], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.53/1.41 cnf('1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(6,bind([[_6515, _6571, _6626], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.53/1.41 cnf('1.1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.53/1.41 cnf('1.1.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(6,bind([[_6515, _6571, _6626], [intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.1',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5939], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(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(10,bind([[_9126, _9283, _9205, _9360], [intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.53/1.41 cnf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []))],extension(4)).
% 0.53/1.41 cnf('1.1.2.2.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(7,bind([[_7981, _8045, _7916], [intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2.2.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.53/1.41 cnf('1.1.2.2.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5939], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(9,bind([[_8650, _8521, _8586], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.53/1.41 cnf('1.1.2.2.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.53/1.41 cnf('1.1.2.2.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5939], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2.4',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 ^ [])), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(8,bind([[_7916, _8045, _7981], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2.4.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.53/1.41 cnf('1.1.2.2.4.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5939], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.53/1.41 cnf('1.1.2.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(9,bind([[_8650, _8521, _8586], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 0.53/1.41 cnf('1.1.2.2.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.53/1.41 cnf('1.1.2.2.5.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5939], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.53/1.41 %-----------------------------------------------------
% 0.53/1.42
% 0.53/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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