TSTP Solution File: GEO181+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 05:03:19 EDT 2022
% Result : Theorem 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n027.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 12:53:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.40
% 0.35/1.40 %-----------------------------------------------------
% 0.35/1.40 fof(con, conjecture, ! [_22408, _22411, _22414] : (distinct_points(_22408, _22411) => apart_point_and_line(_22414, line_connecting(_22408, _22411)) => apart_point_and_line(_22411, line_connecting(_22408, _22414))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.35/1.40 fof(apart1, axiom, ! [_22647] : ~ distinct_points(_22647, _22647), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.35/1.40 fof(apart4, axiom, ! [_22763, _22766, _22769] : (distinct_points(_22763, _22766) => distinct_points(_22763, _22769) | distinct_points(_22766, _22769)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.35/1.40 fof(ci1, axiom, ! [_22950, _22953] : (distinct_points(_22950, _22953) => ~ apart_point_and_line(_22950, line_connecting(_22950, _22953))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.35/1.40 fof(ci2, axiom, ! [_23119, _23122] : (distinct_points(_23119, _23122) => ~ apart_point_and_line(_23122, line_connecting(_23119, _23122))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.35/1.40 fof(cu1, axiom, ! [_23290, _23293, _23296, _23299] : (distinct_points(_23290, _23293) & distinct_lines(_23296, _23299) => apart_point_and_line(_23290, _23296) | apart_point_and_line(_23290, _23299) | apart_point_and_line(_23293, _23296) | apart_point_and_line(_23293, _23299)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.35/1.40 fof(ceq1, axiom, ! [_23570, _23573, _23576] : (apart_point_and_line(_23570, _23573) => distinct_points(_23570, _23576) | apart_point_and_line(_23576, _23573)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.35/1.40 fof(ceq2, axiom, ! [_23755, _23758, _23761] : (apart_point_and_line(_23755, _23758) => distinct_lines(_23758, _23761) | apart_point_and_line(_23755, _23761)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.35/1.40
% 0.35/1.40 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.40 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.35/1.40 cnf(3, plain, [apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))], clausify(con)).
% 0.35/1.40 cnf(4, plain, [distinct_points(_6171, _6171)], clausify(apart1)).
% 0.35/1.40 cnf(5, plain, [distinct_points(_6747, _6803), -(distinct_points(_6747, _6858)), -(distinct_points(_6803, _6858))], clausify(apart4)).
% 0.35/1.40 cnf(6, plain, [distinct_points(_8148, _8198), apart_point_and_line(_8148, line_connecting(_8148, _8198))], clausify(ci1)).
% 0.35/1.40 cnf(7, plain, [distinct_points(_8521, _8571), apart_point_and_line(_8571, line_connecting(_8521, _8571))], clausify(ci2)).
% 0.35/1.40 cnf(8, plain, [distinct_lines(_9797, _9874), distinct_points(_9640, _9719), -(apart_point_and_line(_9640, _9797)), -(apart_point_and_line(_9640, _9874)), -(apart_point_and_line(_9719, _9797)), -(apart_point_and_line(_9719, _9874))], clausify(cu1)).
% 0.35/1.40 cnf(9, plain, [apart_point_and_line(_10481, _10537), -(distinct_points(_10481, _10592)), -(apart_point_and_line(_10592, _10537))], clausify(ceq1)).
% 0.35/1.40 cnf(10, plain, [apart_point_and_line(_10948, _11004), -(distinct_lines(_11004, _11059)), -(apart_point_and_line(_10948, _11059))], clausify(ceq2)).
% 0.35/1.40
% 0.35/1.40 cnf('1',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))],start(3)).
% 0.35/1.40 cnf('1.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(9,bind([[_10537, _10481, _10592], [line_connecting(1 ^ [], 3 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.35/1.40 cnf('1.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(distinct_points(3 ^ [], 1 ^ []))],extension(9,bind([[_10537, _10481, _10592], [line_connecting(1 ^ [], 3 ^ []), 3 ^ [], 1 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))],extension(10,bind([[_10948, _11004, _11059], [3 ^ [], line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.35/1.40 cnf('1.1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.35/1.40 cnf('1.1.1.1.2',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(8,bind([[_9640, _9797, _9719, _9874], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(1 ^ [], 3 ^ [])]]))).
% 0.35/1.40 cnf('1.1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.40 cnf('1.1.1.1.2.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8148, _8198], [1 ^ [], 2 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.40 cnf('1.1.1.1.2.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))],reduction('1.1')).
% 0.35/1.40 cnf('1.1.1.1.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8521, _8571], [1 ^ [], 2 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.1.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.40 cnf('1.1.1.1.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))],extension(3)).
% 0.35/1.40 cnf('1.1.1.2',plain,[distinct_points(3 ^ [], 1 ^ []), -(distinct_points(3 ^ [], 3 ^ [])), -(distinct_points(1 ^ [], 3 ^ []))],extension(5,bind([[_6747, _6803, _6858], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.2.1',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(4,bind([[_6171], [3 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.2.2',plain,[distinct_points(1 ^ [], 3 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ []))],extension(7,bind([[_8521, _8571], [1 ^ [], 3 ^ []]]))).
% 0.35/1.40 cnf('1.1.1.2.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])))],lemmata('1.1.1')).
% 0.35/1.40 cnf('1.1.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_8148, _8198], [1 ^ [], 2 ^ []]]))).
% 0.35/1.40 cnf('1.1.2.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 1 ^ []))],extension(9,bind([[_10537, _10481, _10592], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], 1 ^ []]]))).
% 0.35/1.40 cnf('1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.35/1.40 cnf('1.1.2.1.2',plain,[distinct_points(3 ^ [], 1 ^ []), -(distinct_points(3 ^ [], 3 ^ [])), -(distinct_points(1 ^ [], 3 ^ []))],extension(5,bind([[_6747, _6803, _6858], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.35/1.40 cnf('1.1.2.1.2.1',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(4,bind([[_6171], [3 ^ []]]))).
% 0.35/1.40 cnf('1.1.2.1.2.2',plain,[distinct_points(1 ^ [], 3 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))],extension(6,bind([[_8148, _8198], [1 ^ [], 3 ^ []]]))).
% 0.35/1.40 cnf('1.1.2.1.2.2.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])))],lemmata('1.1')).
% 0.35/1.40 %-----------------------------------------------------
% 0.35/1.41
% 0.35/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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