TSTP Solution File: GEO202+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 05:03:36 EDT 2022
% Result : Theorem 0.33s 1.44s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 00:41:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.33/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.45
% 0.43/1.45 %-----------------------------------------------------
% 0.43/1.45 fof(con, conjecture, ! [_20409, _20412, _20415] : (distinct_points(_20409, _20412) & distinct_points(_20409, _20415) & convergent_lines(line_connecting(_20409, _20412), line_connecting(_20409, _20415)) => ~ distinct_points(intersection_point(line_connecting(_20409, _20412), line_connecting(_20409, _20415)), _20409)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.43/1.45 fof(apart1, axiom, ! [_20742] : ~ distinct_points(_20742, _20742), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.43/1.45 fof(apart2, axiom, ! [_20856] : ~ distinct_lines(_20856, _20856), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.43/1.45 fof(apart5, axiom, ! [_20972, _20975, _20978] : (distinct_lines(_20972, _20975) => distinct_lines(_20972, _20978) | distinct_lines(_20975, _20978)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.43/1.45 fof(con1, axiom, ! [_21158, _21161, _21164] : (distinct_points(_21158, _21161) => apart_point_and_line(_21164, line_connecting(_21158, _21161)) => distinct_points(_21164, _21158) & distinct_points(_21164, _21161)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.43/1.45 fof(con2, axiom, ! [_21388, _21391, _21394] : (convergent_lines(_21388, _21391) => apart_point_and_line(_21394, _21388) | apart_point_and_line(_21394, _21391) => distinct_points(_21394, intersection_point(_21388, _21391))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.43/1.45 fof(cu1, axiom, ! [_21629, _21632, _21635, _21638] : (distinct_points(_21629, _21632) & distinct_lines(_21635, _21638) => apart_point_and_line(_21629, _21635) | apart_point_and_line(_21629, _21638) | apart_point_and_line(_21632, _21635) | apart_point_and_line(_21632, _21638)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.43/1.45 fof(ceq3, axiom, ! [_21910, _21913] : (convergent_lines(_21910, _21913) => distinct_lines(_21910, _21913)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.43/1.45
% 0.43/1.45 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.43/1.45 cnf(2, plain, [-(distinct_points(1 ^ [], 3 ^ []))], clausify(con)).
% 0.43/1.45 cnf(3, plain, [-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.43/1.45 cnf(4, plain, [-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []))], clausify(con)).
% 0.43/1.45 cnf(5, plain, [distinct_points(_5971, _5971)], clausify(apart1)).
% 0.43/1.45 cnf(6, plain, [distinct_lines(_6163, _6163)], clausify(apart2)).
% 0.43/1.45 cnf(7, plain, [distinct_lines(_7014, _7070), -(distinct_lines(_7014, _7125)), -(distinct_lines(_7070, _7125))], clausify(apart5)).
% 0.43/1.45 cnf(8, plain, [distinct_points(_7948, _8013), apart_point_and_line(_8077, line_connecting(_7948, _8013)), -(distinct_points(_8077, _7948))], clausify(con1)).
% 0.43/1.45 cnf(9, plain, [convergent_lines(_8553, _8618), apart_point_and_line(_8682, _8553), -(distinct_points(_8682, intersection_point(_8553, _8618)))], clausify(con2)).
% 0.43/1.45 cnf(10, plain, [convergent_lines(_8553, _8618), apart_point_and_line(_8682, _8618), -(distinct_points(_8682, intersection_point(_8553, _8618)))], clausify(con2)).
% 0.43/1.45 cnf(11, plain, [distinct_lines(_9315, _9392), distinct_points(_9158, _9237), -(apart_point_and_line(_9158, _9315)), -(apart_point_and_line(_9158, _9392)), -(apart_point_and_line(_9237, _9315)), -(apart_point_and_line(_9237, _9392))], clausify(cu1)).
% 0.43/1.45 cnf(12, plain, [convergent_lines(_10923, _10968), -(distinct_lines(_10923, _10968))], clausify(ceq3)).
% 0.43/1.45
% 0.43/1.45 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(5,bind([[_5971], [1 ^ []]]))).
% 0.43/1.45 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(8,bind([[_8077, _7948, _8013], [1 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.43/1.45 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.43/1.45 cnf('1.1.2',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 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 ^ [], 2 ^ []))), -(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 ^ [])))],extension(11,bind([[_9315, _9158, _9237, _9392], [line_connecting(1 ^ [], 2 ^ []), intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ [], line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), -(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(7,bind([[_7014, _7070, _7125], [line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))],extension(12,bind([[_10923, _10968], [line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.1.1.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.43/1.45 cnf('1.1.2.1.2',plain,[distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 3 ^ []))],extension(6,bind([[_6163], [line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.2',plain,[-(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), 1 ^ []))],extension(4)).
% 0.43/1.45 cnf('1.1.2.3',plain,[apart_point_and_line(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ [])), convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), -(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))))],extension(9,bind([[_8682, _8553, _8618], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.3.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.43/1.45 cnf('1.1.2.3.2',plain,[distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(5,bind([[_5971], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))]]))).
% 0.43/1.45 cnf('1.1.2.4',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 ^ [])), -(distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))))],extension(10,bind([[_8682, _8553, _8618], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.43/1.45 cnf('1.1.2.4.1',plain,[-(convergent_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(3)).
% 0.43/1.45 cnf('1.1.2.4.2',plain,[distinct_points(intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(5,bind([[_5971], [intersection_point(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))]]))).
% 0.43/1.45 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(8,bind([[_8013, _8077, _7948], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.43/1.45 cnf('1.1.2.5.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.43/1.45 cnf('1.1.2.5.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5971], [1 ^ []]]))).
% 0.43/1.45 %-----------------------------------------------------
% 0.43/1.46
% 0.43/1.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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