TSTP Solution File: GEO182+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:00:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(con, conjecture, ! [_20701, _20704, _20707] : (distinct_points(_20701, _20704) => apart_point_and_line(_20707, line_connecting(_20701, _20704)) => apart_point_and_line(_20707, line_connecting(_20704, _20701))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.35/1.42 fof(apart1, axiom, ! [_20940] : ~ distinct_points(_20940, _20940), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.35/1.42 fof(apart4, axiom, ! [_21056, _21059, _21062] : (distinct_points(_21056, _21059) => distinct_points(_21056, _21062) | distinct_points(_21059, _21062)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.35/1.42 fof(con1, axiom, ! [_21243, _21246, _21249] : (distinct_points(_21243, _21246) => apart_point_and_line(_21249, line_connecting(_21243, _21246)) => distinct_points(_21249, _21243) & distinct_points(_21249, _21246)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.35/1.42 fof(cu1, axiom, ! [_21486, _21489, _21492, _21495] : (distinct_points(_21486, _21489) & distinct_lines(_21492, _21495) => apart_point_and_line(_21486, _21492) | apart_point_and_line(_21486, _21495) | apart_point_and_line(_21489, _21492) | apart_point_and_line(_21489, _21495)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.35/1.42 fof(ceq2, axiom, ! [_21768, _21771, _21774] : (apart_point_and_line(_21768, _21771) => distinct_lines(_21771, _21774) | apart_point_and_line(_21768, _21774)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.42 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.35/1.42 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))], clausify(con)).
% 0.35/1.42 cnf(4, plain, [distinct_points(_5869, _5869)], clausify(apart1)).
% 0.35/1.42 cnf(5, plain, [distinct_points(_6445, _6501), -(distinct_points(_6445, _6556)), -(distinct_points(_6501, _6556))], clausify(apart4)).
% 0.35/1.42 cnf(6, plain, [distinct_points(_7846, _7911), apart_point_and_line(_7975, line_connecting(_7846, _7911)), -(distinct_points(_7975, _7846))], clausify(con1)).
% 0.35/1.42 cnf(7, plain, [distinct_points(_7846, _7911), apart_point_and_line(_7975, line_connecting(_7846, _7911)), -(distinct_points(_7975, _7911))], clausify(con1)).
% 0.35/1.42 cnf(8, plain, [distinct_lines(_9213, _9290), distinct_points(_9056, _9135), -(apart_point_and_line(_9056, _9213)), -(apart_point_and_line(_9056, _9290)), -(apart_point_and_line(_9135, _9213)), -(apart_point_and_line(_9135, _9290))], clausify(cu1)).
% 0.35/1.42 cnf(9, plain, [apart_point_and_line(_10364, _10420), -(distinct_lines(_10420, _10475)), -(apart_point_and_line(_10364, _10475))], clausify(ceq2)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(4,bind([[_5869], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_6445, _6501, _6556], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6445, _6501, _6556], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5869], [2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(8,bind([[_9056, _9213, _9135, _9290], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.35/1.42 cnf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(9,bind([[_10420, _10364, _10475], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.35/1.42 cnf('1.1.2.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.35/1.42 cnf('1.1.2.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))],extension(3)).
% 0.35/1.42 cnf('1.1.2.2.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_7911, _7975, _7846], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5869], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.3',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_7846, _7975, _7911], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.2.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5869], [1 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7846, _7975, _7911], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.42 cnf('1.1.2.2.4.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5869], [2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_7911, _7975, _7846], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.2.5.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5869], [2 ^ []]]))).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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