TSTP Solution File: GEO204+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 05:03:38 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n025.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 08:45:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(con, conjecture, ! [_21651, _21654, _21657] : (distinct_points(_21651, _21654) & ~ distinct_points(_21654, _21657) => distinct_points(_21651, _21657) & ~ distinct_lines(line_connecting(_21651, _21654), line_connecting(_21651, _21657))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/1.41 fof(apart1, axiom, ! [_21932] : ~ distinct_points(_21932, _21932), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.38/1.41 fof(apart4, axiom, ! [_22048, _22051, _22054] : (distinct_points(_22048, _22051) => distinct_points(_22048, _22054) | distinct_points(_22051, _22054)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.38/1.41 fof(ci1, axiom, ! [_22235, _22238] : (distinct_points(_22235, _22238) => ~ apart_point_and_line(_22235, line_connecting(_22235, _22238))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.38/1.41 fof(ci2, axiom, ! [_22404, _22407] : (distinct_points(_22404, _22407) => ~ apart_point_and_line(_22407, line_connecting(_22404, _22407))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.38/1.41 fof(cu1, axiom, ! [_22575, _22578, _22581, _22584] : (distinct_points(_22575, _22578) & distinct_lines(_22581, _22584) => apart_point_and_line(_22575, _22581) | apart_point_and_line(_22575, _22584) | apart_point_and_line(_22578, _22581) | apart_point_and_line(_22578, _22584)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.38/1.41 fof(ceq1, axiom, ! [_22855, _22858, _22861] : (apart_point_and_line(_22855, _22858) => distinct_points(_22855, _22861) | apart_point_and_line(_22861, _22858)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.41 cnf(2, plain, [distinct_points(2 ^ [], 3 ^ [])], clausify(con)).
% 0.38/1.41 cnf(3, plain, [distinct_points(1 ^ [], 3 ^ []), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.38/1.41 cnf(4, plain, [distinct_points(_6239, _6239)], clausify(apart1)).
% 0.38/1.41 cnf(5, plain, [distinct_points(_6815, _6871), -(distinct_points(_6815, _6926)), -(distinct_points(_6871, _6926))], clausify(apart4)).
% 0.38/1.41 cnf(6, plain, [distinct_points(_8216, _8266), apart_point_and_line(_8216, line_connecting(_8216, _8266))], clausify(ci1)).
% 0.38/1.41 cnf(7, plain, [distinct_points(_8589, _8639), apart_point_and_line(_8639, line_connecting(_8589, _8639))], clausify(ci2)).
% 0.38/1.41 cnf(8, plain, [distinct_lines(_9865, _9942), distinct_points(_9708, _9787), -(apart_point_and_line(_9708, _9865)), -(apart_point_and_line(_9708, _9942)), -(apart_point_and_line(_9787, _9865)), -(apart_point_and_line(_9787, _9942))], clausify(cu1)).
% 0.38/1.41 cnf(9, plain, [apart_point_and_line(_10549, _10605), -(distinct_points(_10549, _10660)), -(apart_point_and_line(_10660, _10605))], clausify(ceq1)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[distinct_points(2 ^ [], 3 ^ [])],start(2)).
% 0.38/1.41 cnf('1.1',plain,[-(distinct_points(2 ^ [], 3 ^ [])), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(9,bind([[_10549, _10660, _10605], [2 ^ [], 3 ^ [], line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(8,bind([[_9708, _9865, _9787, _9942], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))), distinct_points(1 ^ [], 3 ^ [])],extension(3)).
% 0.38/1.41 cnf('1.1.1.1.1',plain,[-(distinct_points(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(5,bind([[_6815, _6871, _6926], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.1.1.2',plain,[distinct_points(2 ^ [], 3 ^ [])],extension(2)).
% 0.38/1.41 cnf('1.1.1.2',plain,[-(distinct_points(2 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(5,bind([[_6871, _6815, _6926], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_6239], [1 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.3',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8589, _8639], [1 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8216, _8266], [1 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(6,bind([[_8216, _8266], [1 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.5.1',plain,[-(distinct_points(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(5,bind([[_6815, _6871, _6926], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.1.5.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.1.5.1.2',plain,[distinct_points(2 ^ [], 3 ^ [])],extension(2)).
% 0.38/1.41 cnf('1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ [])],extension(7,bind([[_8589, _8639], [1 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.1',plain,[-(distinct_points(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(5,bind([[_6815, _6871, _6926], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.2.1.2',plain,[distinct_points(2 ^ [], 3 ^ [])],extension(2)).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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