TSTP Solution File: GEO231+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n020.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 05:04:00 EDT 2022

% Result   : Theorem 1.04s 1.40s
% Output   : Proof 1.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 01:37:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.04/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.42  
% 1.04/1.42  %-----------------------------------------------------
% 1.04/1.42  fof(con, conjecture, ! [_43914, _43917, _43920] : (~ unequally_directed_lines(_43914, reverse_line(_43917)) & ~ unequally_directed_lines(_43914, _43920) => ~ unequally_directed_lines(_43917, reverse_line(_43920))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 1.04/1.42  fof(oag5, axiom, ! [_44167] : ~ unequally_directed_lines(_44167, _44167), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag5)).
% 1.04/1.42  fof(oag6, axiom, ! [_44281, _44284, _44287] : (unequally_directed_lines(_44281, _44284) => unequally_directed_lines(_44281, _44287) | unequally_directed_lines(_44284, _44287)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag6)).
% 1.04/1.42  fof(oag7, axiom, ! [_44466, _44469, _44472] : (unequally_directed_lines(_44466, _44469) & unequally_directed_lines(_44466, reverse_line(_44469)) => unequally_directed_lines(_44466, _44472) & unequally_directed_lines(_44466, reverse_line(_44472)) | unequally_directed_lines(_44469, _44472) & unequally_directed_lines(_44469, reverse_line(_44472))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag7)).
% 1.04/1.42  fof(oag9, axiom, ! [_44777, _44780] : (unequally_directed_lines(_44777, _44780) & unequally_directed_lines(_44777, reverse_line(_44780)) => left_convergent_lines(_44777, _44780) | left_convergent_lines(_44777, reverse_line(_44780))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag9)).
% 1.04/1.42  fof(oag11, axiom, ! [_44999, _45002] : ~ (left_convergent_lines(_44999, _45002) | left_convergent_lines(_44999, reverse_line(_45002))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag11)).
% 1.04/1.42  fof(oagco9, axiom, ! [_45172, _45175] : ~ unequally_directed_lines(line_connecting(_45172, _45175), reverse_line(line_connecting(_45175, _45172))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco9)).
% 1.04/1.42  
% 1.04/1.42  cnf(1, plain, [-(unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])))], clausify(con)).
% 1.04/1.42  cnf(2, plain, [unequally_directed_lines(_16063, _16063)], clausify(oag5)).
% 1.04/1.42  cnf(3, plain, [unequally_directed_lines(_16255, _16311), -(unequally_directed_lines(_16255, _16366)), -(unequally_directed_lines(_16311, _16366))], clausify(oag6)).
% 1.04/1.42  cnf(4, plain, [unequally_directed_lines(_16722, reverse_line(_16802)), unequally_directed_lines(_16722, _16802), -(unequally_directed_lines(_16722, _16881)), -(unequally_directed_lines(_16802, _16881))], clausify(oag7)).
% 1.04/1.42  cnf(5, plain, [unequally_directed_lines(_16722, reverse_line(_16802)), unequally_directed_lines(_16722, _16802), -(unequally_directed_lines(_16722, _16881)), -(unequally_directed_lines(_16802, reverse_line(_16881)))], clausify(oag7)).
% 1.04/1.42  cnf(6, plain, [unequally_directed_lines(_17987, reverse_line(_18048)), unequally_directed_lines(_17987, _18048), -(left_convergent_lines(_17987, _18048)), -(left_convergent_lines(_17987, reverse_line(_18048)))], clausify(oag9)).
% 1.04/1.42  cnf(7, plain, [left_convergent_lines(_18859, _18908)], clausify(oag11)).
% 1.04/1.42  cnf(8, plain, [unequally_directed_lines(line_connecting(_22472, _22521), reverse_line(line_connecting(_22521, _22472)))], clausify(oagco9)).
% 1.04/1.42  
% 1.04/1.42  cnf('1',plain,[unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(line_connecting(_37491, _37491)))],start(8,bind([[_22521, _22472], [_37491, _37491]]))).
% 1.04/1.42  cnf('1.1',plain,[-(unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(line_connecting(_37491, _37491)))), unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491)), -(unequally_directed_lines(2 ^ [], reverse_line(line_connecting(_37491, _37491))))],extension(3,bind([[_16311, _16255, _16366], [line_connecting(_37491, _37491), 2 ^ [], reverse_line(line_connecting(_37491, _37491))]]))).
% 1.04/1.42  cnf('1.1.1',plain,[-(unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491))), unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])), -(unequally_directed_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491)))],extension(3,bind([[_16255, _16311, _16366], [2 ^ [], reverse_line(3 ^ []), line_connecting(_37491, _37491)]]))).
% 1.04/1.42  cnf('1.1.1.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])))],extension(1)).
% 1.04/1.42  cnf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491)), unequally_directed_lines(reverse_line(3 ^ []), reverse_line(line_connecting(_37491, _37491))), -(left_convergent_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491))), -(left_convergent_lines(reverse_line(3 ^ []), reverse_line(line_connecting(_37491, _37491))))],extension(6,bind([[_17987, _18048], [reverse_line(3 ^ []), line_connecting(_37491, _37491)]]))).
% 1.04/1.42  cnf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), reverse_line(line_connecting(_37491, _37491)))), unequally_directed_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491)), -(unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(line_connecting(_37491, _37491))))],extension(3,bind([[_16255, _16311, _16366], [reverse_line(3 ^ []), line_connecting(_37491, _37491), reverse_line(line_connecting(_37491, _37491))]]))).
% 1.04/1.42  cnf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491)))],reduction('1.1.1')).
% 1.04/1.42  cnf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(line_connecting(_37491, _37491)))],extension(8,bind([[_22521, _22472], [_37491, _37491]]))).
% 1.04/1.42  cnf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(3 ^ []), line_connecting(_37491, _37491))],extension(7,bind([[_18859, _18908], [reverse_line(3 ^ []), line_connecting(_37491, _37491)]]))).
% 1.04/1.42  cnf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(3 ^ []), reverse_line(line_connecting(_37491, _37491)))],extension(7,bind([[_18859, _18908], [reverse_line(3 ^ []), reverse_line(line_connecting(_37491, _37491))]]))).
% 1.04/1.42  cnf('1.1.2',plain,[unequally_directed_lines(2 ^ [], reverse_line(line_connecting(_37491, _37491))), unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491)), -(unequally_directed_lines(2 ^ [], 2 ^ [])), -(unequally_directed_lines(line_connecting(_37491, _37491), 2 ^ []))],extension(4,bind([[_16722, _16802, _16881], [2 ^ [], line_connecting(_37491, _37491), 2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.1',plain,[-(unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491)))],lemmata('1.1')).
% 1.04/1.42  cnf('1.1.2.2',plain,[unequally_directed_lines(2 ^ [], 2 ^ [])],extension(2,bind([[_16063], [2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_37491, _37491), 2 ^ []), unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(2 ^ [])), -(left_convergent_lines(line_connecting(_37491, _37491), 2 ^ [])), -(left_convergent_lines(line_connecting(_37491, _37491), reverse_line(2 ^ [])))],extension(6,bind([[_17987, _18048], [line_connecting(_37491, _37491), 2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_37491, _37491), reverse_line(2 ^ []))), unequally_directed_lines(2 ^ [], reverse_line(line_connecting(_37491, _37491))), unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491)), -(unequally_directed_lines(2 ^ [], 2 ^ []))],extension(5,bind([[_16802, _16722, _16881], [line_connecting(_37491, _37491), 2 ^ [], 2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.3.1.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(line_connecting(_37491, _37491))))],reduction('1.1')).
% 1.04/1.42  cnf('1.1.2.3.1.2',plain,[-(unequally_directed_lines(2 ^ [], line_connecting(_37491, _37491)))],lemmata('1.1.2')).
% 1.04/1.42  cnf('1.1.2.3.1.3',plain,[unequally_directed_lines(2 ^ [], 2 ^ [])],extension(2,bind([[_16063], [2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_37491, _37491), 2 ^ [])],extension(7,bind([[_18859, _18908], [line_connecting(_37491, _37491), 2 ^ []]]))).
% 1.04/1.42  cnf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_37491, _37491), reverse_line(2 ^ []))],extension(7,bind([[_18859, _18908], [line_connecting(_37491, _37491), reverse_line(2 ^ [])]]))).
% 1.04/1.42  %-----------------------------------------------------
% 1.12/1.42  
% 1.12/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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