TSTP Solution File: GEO180+1 by leanCoP---2.2

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 05:03:18 EDT 2022

% Result   : Theorem 0.37s 1.41s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n006.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 04:09:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.42  
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.42  fof(con, conjecture, ! [_24380, _24383, _24386] : (distinct_points(_24380, _24383) => apart_point_and_line(_24386, line_connecting(_24380, _24383)) => apart_point_and_line(_24380, line_connecting(_24386, _24383))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.37/1.42  fof(apart1, axiom, ! [_24619] : ~ distinct_points(_24619, _24619), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.37/1.42  fof(apart2, axiom, ! [_24733] : ~ distinct_lines(_24733, _24733), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.37/1.42  fof(apart4, axiom, ! [_24848, _24851, _24854] : (distinct_points(_24848, _24851) => distinct_points(_24848, _24854) | distinct_points(_24851, _24854)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.37/1.42  fof(apart5, axiom, ! [_25033, _25036, _25039] : (distinct_lines(_25033, _25036) => distinct_lines(_25033, _25039) | distinct_lines(_25036, _25039)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.37/1.42  fof(ci1, axiom, ! [_25219, _25222] : (distinct_points(_25219, _25222) => ~ apart_point_and_line(_25219, line_connecting(_25219, _25222))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.37/1.42  fof(ci2, axiom, ! [_25388, _25391] : (distinct_points(_25388, _25391) => ~ apart_point_and_line(_25391, line_connecting(_25388, _25391))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.37/1.42  fof(cu1, axiom, ! [_25559, _25562, _25565, _25568] : (distinct_points(_25559, _25562) & distinct_lines(_25565, _25568) => apart_point_and_line(_25559, _25565) | apart_point_and_line(_25559, _25568) | apart_point_and_line(_25562, _25565) | apart_point_and_line(_25562, _25568)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.37/1.42  fof(ceq1, axiom, ! [_25839, _25842, _25845] : (apart_point_and_line(_25839, _25842) => distinct_points(_25839, _25845) | apart_point_and_line(_25845, _25842)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.37/1.42  fof(ceq2, axiom, ! [_26024, _26027, _26030] : (apart_point_and_line(_26024, _26027) => distinct_lines(_26027, _26030) | apart_point_and_line(_26024, _26030)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.37/1.42  
% 0.37/1.42  cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.42  cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.37/1.42  cnf(3, plain, [apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.42  cnf(4, plain, [distinct_points(_6171, _6171)], clausify(apart1)).
% 0.37/1.42  cnf(5, plain, [distinct_lines(_6363, _6363)], clausify(apart2)).
% 0.37/1.42  cnf(6, plain, [distinct_points(_6747, _6803), -(distinct_points(_6747, _6858)), -(distinct_points(_6803, _6858))], clausify(apart4)).
% 0.37/1.42  cnf(7, plain, [distinct_lines(_7214, _7270), -(distinct_lines(_7214, _7325)), -(distinct_lines(_7270, _7325))], clausify(apart5)).
% 0.37/1.42  cnf(8, plain, [distinct_points(_8148, _8198), apart_point_and_line(_8148, line_connecting(_8148, _8198))], clausify(ci1)).
% 0.37/1.42  cnf(9, plain, [distinct_points(_8521, _8571), apart_point_and_line(_8571, line_connecting(_8521, _8571))], clausify(ci2)).
% 0.37/1.42  cnf(10, 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)).
% 0.37/1.42  cnf(11, plain, [apart_point_and_line(_10481, _10537), -(distinct_points(_10481, _10592)), -(apart_point_and_line(_10592, _10537))], clausify(ceq1)).
% 0.37/1.42  cnf(12, plain, [apart_point_and_line(_10948, _11004), -(distinct_lines(_11004, _11059)), -(apart_point_and_line(_10948, _11059))], clausify(ceq2)).
% 0.37/1.42  
% 0.37/1.42  cnf('1',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(9,bind([[_8521, _8571], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42  cnf('1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42  cnf('1.2',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), -(distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(12,bind([[_10948, _11004, _11059], [2 ^ [], line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ [])), 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(3 ^ [], 2 ^ [])))],extension(10,bind([[_9640, _9797, _9719, _9874], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(12,bind([[_11004, _10948, _11059], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.37/1.42  cnf('1.2.1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ [])],extension(8,bind([[_8148, _8198], [3 ^ [], 2 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.1.2.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(11,bind([[_10481, _10592, _10537], [3 ^ [], 2 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])))],reduction('1.2.1.1')).
% 0.37/1.42  cnf('1.2.1.1.2.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ []))],reduction('1.2')).
% 0.37/1.42  cnf('1.2.1.2',plain,[-(distinct_points(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6747, _6803, _6858], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.2.1',plain,[-(distinct_points(2 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6803, _6747, _6858], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.2.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42  cnf('1.2.1.2.1.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_6171], [1 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_6171], [1 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.3',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))],reduction('1')).
% 0.37/1.42  cnf('1.2.1.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(8,bind([[_8148, _8198], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42  cnf('1.2.1.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42  cnf('1.2.1.5',plain,[apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))],extension(3)).
% 0.37/1.42  cnf('1.2.2',plain,[distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ [])))],extension(7,bind([[_7214, _7270, _7325], [line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.2.1',plain,[distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))],extension(5,bind([[_6363], [line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.2.2',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(10,bind([[_9640, _9797, _9719, _9874], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42  cnf('1.2.2.2.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(8,bind([[_8148, _8198], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42  cnf('1.2.2.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42  cnf('1.2.2.2.3',plain,[apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))],extension(3)).
% 0.37/1.42  cnf('1.2.2.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))],reduction('1')).
% 0.37/1.42  cnf('1.2.2.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ [])],extension(9,bind([[_8521, _8571], [3 ^ [], 2 ^ []]]))).
% 0.37/1.42  cnf('1.2.2.2.5.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(11,bind([[_10481, _10592, _10537], [3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.37/1.42  cnf('1.2.2.2.5.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.37/1.42  cnf('1.2.2.2.5.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))],lemmata('1.2.2.2')).
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.42  
% 0.37/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------