TSTP Solution File: GEO174+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 05:03:13 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 13:33:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(con, conjecture, ! [_19788, _19791, _19794, _19797] : (distinct_points(_19788, _19791) & convergent_lines(_19794, _19797) & (apart_point_and_line(_19788, _19794) | apart_point_and_line(_19791, _19794)) => distinct_lines(_19794, line_connecting(_19788, _19791))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.42 fof(apart1, axiom, ! [_20079] : ~ distinct_points(_20079, _20079), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.35/1.42 fof(apart4, axiom, ! [_20195, _20198, _20201] : (distinct_points(_20195, _20198) => distinct_points(_20195, _20201) | distinct_points(_20198, _20201)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.35/1.42 fof(con1, axiom, ! [_20382, _20385, _20388] : (distinct_points(_20382, _20385) => apart_point_and_line(_20388, line_connecting(_20382, _20385)) => distinct_points(_20388, _20382) & distinct_points(_20388, _20385)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.35/1.42 fof(ceq1, axiom, ! [_20626, _20629, _20632] : (apart_point_and_line(_20626, _20629) => distinct_points(_20626, _20632) | apart_point_and_line(_20632, _20629)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.35/1.42 fof(ceq2, axiom, ! [_20812, _20815, _20818] : (apart_point_and_line(_20812, _20815) => distinct_lines(_20815, _20818) | apart_point_and_line(_20812, _20818)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(2, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(3, plain, [-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))], clausify(con)).
% 0.35/1.42 cnf(4, plain, [distinct_points(_5927, _5927)], clausify(apart1)).
% 0.35/1.42 cnf(5, plain, [distinct_points(_6503, _6559), -(distinct_points(_6503, _6614)), -(distinct_points(_6559, _6614))], clausify(apart4)).
% 0.35/1.42 cnf(6, plain, [distinct_points(_7904, _7969), apart_point_and_line(_8033, line_connecting(_7904, _7969)), -(distinct_points(_8033, _7904))], clausify(con1)).
% 0.35/1.42 cnf(7, plain, [distinct_points(_7904, _7969), apart_point_and_line(_8033, line_connecting(_7904, _7969)), -(distinct_points(_8033, _7969))], clausify(con1)).
% 0.35/1.42 cnf(8, plain, [apart_point_and_line(_9955, _10011), -(distinct_points(_9955, _10066)), -(apart_point_and_line(_10066, _10011))], clausify(ceq1)).
% 0.35/1.42 cnf(9, plain, [apart_point_and_line(_10422, _10478), -(distinct_lines(_10478, _10533)), -(apart_point_and_line(_10422, _10533))], clausify(ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(1)).
% 0.35/1.42 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([[_10478, _10422, _10533], [3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(apart_point_and_line(2 ^ [], 3 ^ [])), apart_point_and_line(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 2 ^ []))],extension(8,bind([[_10011, _9955, _10066], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.1.1.1',plain,[apart_point_and_line(2 ^ [], 3 ^ [])],reduction('1.1')).
% 0.35/1.42 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([[_7969, _8033, _7904], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.42 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([[_10422, _10478, _10533], [1 ^ [], 3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1.2.1.1',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.1.2.1.1.1',plain,[apart_point_and_line(2 ^ [], 3 ^ [])],reduction('1.1')).
% 0.35/1.42 cnf('1.1.1.2.1.2',plain,[distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5927], [1 ^ []]]))).
% 0.35/1.42 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([[_7969, _8033, _7904], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.1.2.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6503, _6559, _6614], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5927], [2 ^ []]]))).
% 0.35/1.42 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([[_7904, _8033, _7969], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5927], [2 ^ []]]))).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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