TSTP Solution File: GEO189+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 05:03:25 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 04:52:47 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(con, conjecture, ! [_20118, _20121, _20124] : (distinct_points(_20118, _20121) & distinct_points(_20118, _20124) & distinct_points(_20121, _20124) & ~ apart_point_and_line(_20124, line_connecting(_20118, _20121)) => ~ apart_point_and_line(_20121, line_connecting(_20118, _20124))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.36/1.41 fof(apart1, axiom, ! [_20439] : ~ distinct_points(_20439, _20439), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.36/1.41 fof(apart4, axiom, ! [_20555, _20558, _20561] : (distinct_points(_20555, _20558) => distinct_points(_20555, _20561) | distinct_points(_20558, _20561)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.36/1.41 fof(ci1, axiom, ! [_20742, _20745] : (distinct_points(_20742, _20745) => ~ apart_point_and_line(_20742, line_connecting(_20742, _20745))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.36/1.41 fof(ci2, axiom, ! [_20911, _20914] : (distinct_points(_20911, _20914) => ~ apart_point_and_line(_20914, line_connecting(_20911, _20914))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.36/1.41 fof(cu1, axiom, ! [_21082, _21085, _21088, _21091] : (distinct_points(_21082, _21085) & distinct_lines(_21088, _21091) => apart_point_and_line(_21082, _21088) | apart_point_and_line(_21082, _21091) | apart_point_and_line(_21085, _21088) | apart_point_and_line(_21085, _21091)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.36/1.41 fof(ceq2, axiom, ! [_21363, _21366, _21369] : (apart_point_and_line(_21363, _21366) => distinct_lines(_21366, _21369) | apart_point_and_line(_21363, _21369)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.41 cnf(2, plain, [-(distinct_points(1 ^ [], 3 ^ []))], clausify(con)).
% 0.36/1.41 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.41 cnf(4, plain, [-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.36/1.41 cnf(5, plain, [distinct_points(_6279, _6279)], clausify(apart1)).
% 0.36/1.41 cnf(6, plain, [distinct_points(_6855, _6911), -(distinct_points(_6855, _6966)), -(distinct_points(_6911, _6966))], clausify(apart4)).
% 0.36/1.41 cnf(7, plain, [distinct_points(_8256, _8306), apart_point_and_line(_8256, line_connecting(_8256, _8306))], clausify(ci1)).
% 0.36/1.41 cnf(8, plain, [distinct_points(_8629, _8679), apart_point_and_line(_8679, line_connecting(_8629, _8679))], clausify(ci2)).
% 0.36/1.41 cnf(9, plain, [distinct_lines(_9905, _9982), distinct_points(_9748, _9827), -(apart_point_and_line(_9748, _9905)), -(apart_point_and_line(_9748, _9982)), -(apart_point_and_line(_9827, _9905)), -(apart_point_and_line(_9827, _9982))], clausify(cu1)).
% 0.36/1.41 cnf(10, plain, [apart_point_and_line(_11056, _11112), -(distinct_lines(_11112, _11167)), -(apart_point_and_line(_11056, _11167))], clausify(ceq2)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.36/1.41 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(3 ^ [], 1 ^ []), -(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_9748, _9905, _9827, _9982], [3 ^ [], line_connecting(1 ^ [], 3 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_11112, _11056, _11167], [line_connecting(1 ^ [], 3 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(4)).
% 0.36/1.41 cnf('1.1.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(8,bind([[_8629, _8679], [1 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6911, _6855, _6966], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_6279], [1 ^ []]]))).
% 0.36/1.41 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(8,bind([[_8629, _8679], [1 ^ [], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(7,bind([[_8256, _8306], [1 ^ [], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.4.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8256, _8306], [1 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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