TSTP Solution File: GEO259+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n005.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 05:04:16 EDT 2022

% Result   : Theorem 1.28s 2.45s
% Output   : Proof 1.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n005.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 : Fri Jun 17 23:36:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.28/2.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.28/2.45  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.28/2.46  
% 1.28/2.46  %-----------------------------------------------------
% 1.28/2.46  fof(con, conjecture, ! [_45982, _45985, _45988, _45991] : (line(_45982) & distinct_points(_45985, _45991) & distinct_points(_45988, _45991) & distinct_points(_45985, _45988) => ~ (between_on_line(_45982, _45985, _45988, _45991) & between_on_line(_45982, _45988, _45985, _45991))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.28/2.46  fof(oag5, axiom, ! [_46324] : ~ unequally_directed_lines(_46324, _46324), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag5)).
% 1.28/2.46  fof(oag6, axiom, ! [_46438, _46441, _46444] : (unequally_directed_lines(_46438, _46441) => unequally_directed_lines(_46438, _46444) | unequally_directed_lines(_46441, _46444)), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag6)).
% 1.28/2.46  fof(oag7, axiom, ! [_46623, _46626, _46629] : (unequally_directed_lines(_46623, _46626) & unequally_directed_lines(_46623, reverse_line(_46626)) => unequally_directed_lines(_46623, _46629) & unequally_directed_lines(_46623, reverse_line(_46629)) | unequally_directed_lines(_46626, _46629) & unequally_directed_lines(_46626, reverse_line(_46629))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag7)).
% 1.28/2.46  fof(oag8, axiom, ! [_46933, _46936] : (line(_46933) & line(_46936) => unequally_directed_lines(_46933, _46936) | unequally_directed_lines(_46933, reverse_line(_46936))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag8)).
% 1.28/2.46  fof(oag9, axiom, ! [_47130, _47133] : (unequally_directed_lines(_47130, _47133) & unequally_directed_lines(_47130, reverse_line(_47133)) => left_convergent_lines(_47130, _47133) | left_convergent_lines(_47130, reverse_line(_47133))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag9)).
% 1.28/2.46  fof(oag11, axiom, ! [_47352, _47355] : ~ (left_convergent_lines(_47352, _47355) | left_convergent_lines(_47352, reverse_line(_47355))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag11)).
% 1.28/2.46  fof(oagco9, axiom, ! [_47525, _47528] : ~ unequally_directed_lines(line_connecting(_47525, _47528), reverse_line(line_connecting(_47528, _47525))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oagco9)).
% 1.28/2.46  
% 1.28/2.46  cnf(1, plain, [-(line(1 ^ []))], clausify(con)).
% 1.28/2.46  cnf(2, plain, [unequally_directed_lines(_16152, _16152)], clausify(oag5)).
% 1.28/2.46  cnf(3, plain, [unequally_directed_lines(_16344, _16400), -(unequally_directed_lines(_16344, _16455)), -(unequally_directed_lines(_16400, _16455))], clausify(oag6)).
% 1.28/2.46  cnf(4, plain, [unequally_directed_lines(_16811, reverse_line(_16891)), unequally_directed_lines(_16811, _16891), -(unequally_directed_lines(_16811, _16970)), -(unequally_directed_lines(_16891, _16970))], clausify(oag7)).
% 1.28/2.46  cnf(5, plain, [unequally_directed_lines(_16811, reverse_line(_16891)), unequally_directed_lines(_16811, _16891), -(unequally_directed_lines(_16811, _16970)), -(unequally_directed_lines(_16891, reverse_line(_16970)))], clausify(oag7)).
% 1.28/2.46  cnf(6, plain, [line(_17677), line(_17620), -(unequally_directed_lines(_17620, _17677)), -(unequally_directed_lines(_17620, reverse_line(_17677)))], clausify(oag8)).
% 1.28/2.46  cnf(7, plain, [unequally_directed_lines(_18076, reverse_line(_18137)), unequally_directed_lines(_18076, _18137), -(left_convergent_lines(_18076, _18137)), -(left_convergent_lines(_18076, reverse_line(_18137)))], clausify(oag9)).
% 1.28/2.46  cnf(8, plain, [left_convergent_lines(_18948, _18997)], clausify(oag11)).
% 1.28/2.46  cnf(9, plain, [unequally_directed_lines(line_connecting(_22561, _22610), reverse_line(line_connecting(_22610, _22561)))], clausify(oagco9)).
% 1.28/2.46  
% 1.28/2.46  cnf('1',plain,[unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(line_connecting(_38297, _38297)))],start(9,bind([[_22610, _22561], [_38297, _38297]]))).
% 1.28/2.46  cnf('1.1',plain,[-(unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(line_connecting(_38297, _38297)))), unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297)), -(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38297, _38297))))],extension(3,bind([[_16400, _16344, _16455], [line_connecting(_38297, _38297), 1 ^ [], reverse_line(line_connecting(_38297, _38297))]]))).
% 1.28/2.46  cnf('1.1.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297))), unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), -(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297)))],extension(3,bind([[_16344, _16400, _16455], [1 ^ [], reverse_line(1 ^ []), line_connecting(_38297, _38297)]]))).
% 1.28/2.46  cnf('1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], 1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(3,bind([[_16344, _16400, _16455], [1 ^ [], 1 ^ [], reverse_line(1 ^ [])]]))).
% 1.28/2.46  cnf('1.1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], 1 ^ [])), line(1 ^ []), line(1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(6,bind([[_17620, _17677], [1 ^ [], 1 ^ []]]))).
% 1.28/2.46  cnf('1.1.1.1.1.1',plain,[-(line(1 ^ []))],extension(1)).
% 1.28/2.46  cnf('1.1.1.1.1.2',plain,[-(line(1 ^ []))],extension(1)).
% 1.28/2.46  cnf('1.1.1.1.1.3',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.28/2.46  cnf('1.1.1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.28/2.46  cnf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297)), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38297, _38297))), -(left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297))), -(left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38297, _38297))))],extension(7,bind([[_18076, _18137], [reverse_line(1 ^ []), line_connecting(_38297, _38297)]]))).
% 1.28/2.46  cnf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38297, _38297)))), unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297)), -(unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(line_connecting(_38297, _38297))))],extension(3,bind([[_16344, _16400, _16455], [reverse_line(1 ^ []), line_connecting(_38297, _38297), reverse_line(line_connecting(_38297, _38297))]]))).
% 1.28/2.46  cnf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297)))],reduction('1.1.1')).
% 1.28/2.46  cnf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(line_connecting(_38297, _38297)))],extension(9,bind([[_22610, _22561], [_38297, _38297]]))).
% 1.28/2.46  cnf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38297, _38297))],extension(8,bind([[_18948, _18997], [reverse_line(1 ^ []), line_connecting(_38297, _38297)]]))).
% 1.28/2.46  cnf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38297, _38297)))],extension(8,bind([[_18948, _18997], [reverse_line(1 ^ []), reverse_line(line_connecting(_38297, _38297))]]))).
% 1.28/2.46  cnf('1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38297, _38297))), unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297)), -(unequally_directed_lines(1 ^ [], 1 ^ [])), -(unequally_directed_lines(line_connecting(_38297, _38297), 1 ^ []))],extension(4,bind([[_16811, _16891, _16970], [1 ^ [], line_connecting(_38297, _38297), 1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297)))],lemmata('1.1')).
% 1.28/2.46  cnf('1.1.2.2',plain,[unequally_directed_lines(1 ^ [], 1 ^ [])],extension(2,bind([[_16152], [1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_38297, _38297), 1 ^ []), unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(1 ^ [])), -(left_convergent_lines(line_connecting(_38297, _38297), 1 ^ [])), -(left_convergent_lines(line_connecting(_38297, _38297), reverse_line(1 ^ [])))],extension(7,bind([[_18076, _18137], [line_connecting(_38297, _38297), 1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_38297, _38297), reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38297, _38297))), unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297)), -(unequally_directed_lines(1 ^ [], 1 ^ []))],extension(5,bind([[_16891, _16811, _16970], [line_connecting(_38297, _38297), 1 ^ [], 1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.3.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38297, _38297))))],reduction('1.1')).
% 1.28/2.46  cnf('1.1.2.3.1.2',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38297, _38297)))],lemmata('1.1.2')).
% 1.28/2.46  cnf('1.1.2.3.1.3',plain,[unequally_directed_lines(1 ^ [], 1 ^ [])],extension(2,bind([[_16152], [1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_38297, _38297), 1 ^ [])],extension(8,bind([[_18948, _18997], [line_connecting(_38297, _38297), 1 ^ []]]))).
% 1.28/2.46  cnf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_38297, _38297), reverse_line(1 ^ []))],extension(8,bind([[_18948, _18997], [line_connecting(_38297, _38297), reverse_line(1 ^ [])]]))).
% 1.28/2.46  %-----------------------------------------------------
% 1.28/2.47  
% 1.28/2.47  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------