TSTP Solution File: GEO183+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 05:03:20 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 : Sat Jun 18 08:11:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(con, conjecture, ! [_19949, _19952, _19955, _19958] : (distinct_points(_19949, _19952) & convergent_lines(_19955, _19958) & ~ distinct_lines(_19955, line_connecting(_19949, _19952)) => ~ apart_point_and_line(_19949, _19955) & ~ apart_point_and_line(_19952, _19955)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.32/1.41 fof(apart1, axiom, ! [_20261] : ~ distinct_points(_20261, _20261), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.32/1.41 fof(apart4, axiom, ! [_20377, _20380, _20383] : (distinct_points(_20377, _20380) => distinct_points(_20377, _20383) | distinct_points(_20380, _20383)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.32/1.41 fof(con1, axiom, ! [_20564, _20567, _20570] : (distinct_points(_20564, _20567) => apart_point_and_line(_20570, line_connecting(_20564, _20567)) => distinct_points(_20570, _20564) & distinct_points(_20570, _20567)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.32/1.41 fof(ceq1, axiom, ! [_20808, _20811, _20814] : (apart_point_and_line(_20808, _20811) => distinct_points(_20808, _20814) | apart_point_and_line(_20814, _20811)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.32/1.41 fof(ceq2, axiom, ! [_20994, _20997, _21000] : (apart_point_and_line(_20994, _20997) => distinct_lines(_20997, _21000) | apart_point_and_line(_20994, _21000)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.41 cnf(2, plain, [distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.41 cnf(3, plain, [-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))], clausify(con)).
% 0.32/1.41 cnf(4, plain, [distinct_points(_6001, _6001)], clausify(apart1)).
% 0.32/1.41 cnf(5, plain, [distinct_points(_6577, _6633), -(distinct_points(_6577, _6688)), -(distinct_points(_6633, _6688))], clausify(apart4)).
% 0.32/1.41 cnf(6, plain, [distinct_points(_7978, _8043), apart_point_and_line(_8107, line_connecting(_7978, _8043)), -(distinct_points(_8107, _7978))], clausify(con1)).
% 0.32/1.41 cnf(7, plain, [distinct_points(_7978, _8043), apart_point_and_line(_8107, line_connecting(_7978, _8043)), -(distinct_points(_8107, _8043))], clausify(con1)).
% 0.32/1.41 cnf(8, plain, [apart_point_and_line(_10029, _10085), -(distinct_points(_10029, _10140)), -(apart_point_and_line(_10140, _10085))], clausify(ceq1)).
% 0.32/1.41 cnf(9, plain, [apart_point_and_line(_10496, _10552), -(distinct_lines(_10552, _10607)), -(apart_point_and_line(_10496, _10607))], clausify(ceq2)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(2)).
% 0.32/1.41 cnf('1.1',plain,[-(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(2 ^ [], 3 ^ []), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_10552, _10496, _10607], [3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(apart_point_and_line(2 ^ [], 3 ^ [])), apart_point_and_line(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 2 ^ []))],extension(8,bind([[_10085, _10029, _10140], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.32/1.41 cnf('1.1.1.1.1',plain,[apart_point_and_line(2 ^ [], 3 ^ [])],reduction('1.1')).
% 0.32/1.41 cnf('1.1.1.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_8043, _8107, _7978], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.2.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(1 ^ [], 3 ^ []), -(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_10496, _10552, _10607], [1 ^ [], 3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.32/1.41 cnf('1.1.1.2.1.1',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.32/1.41 cnf('1.1.1.2.1.1.1',plain,[apart_point_and_line(2 ^ [], 3 ^ [])],reduction('1.1')).
% 0.32/1.41 cnf('1.1.1.2.1.2',plain,[distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.41 cnf('1.1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_6001], [1 ^ []]]))).
% 0.32/1.41 cnf('1.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(6,bind([[_8043, _8107, _7978], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.2.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6577, _6633, _6688], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_6001], [2 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7978, _8107, _8043], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.32/1.41 cnf('1.1.2.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_6001], [2 ^ []]]))).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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