TSTP Solution File: GEO261+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n015.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 05:04:17 EDT 2022

% Result   : Theorem 0.40s 1.42s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 18:39:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.40/1.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.43  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.44  
% 0.40/1.44  %-----------------------------------------------------
% 0.40/1.44  fof(con, conjecture, ! [_43689, _43692, _43695, _43698, _43701] : (between_on_line(_43689, _43695, _43698, _43701) & convergent_lines(_43689, _43692) & incident_point_and_line(_43698, _43692) => divides_points(_43692, _43695, _43701)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.40/1.44  fof(a1_defns, axiom, ! [_43947, _43950] : (unequally_directed_opposite_lines(_43947, _43950) <=> unequally_directed_lines(_43947, reverse_line(_43950))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a1_defns)).
% 0.40/1.44  fof(a4_defns, axiom, ! [_44107, _44110] : (equally_directed_lines(_44107, _44110) <=> ~ unequally_directed_lines(_44107, _44110)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 0.40/1.44  fof(a7_defns, axiom, ! [_44277, _44280] : (convergent_lines(_44277, _44280) <=> unequally_directed_lines(_44277, _44280) & unequally_directed_opposite_lines(_44277, _44280)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a7_defns)).
% 0.40/1.44  fof(ax9_basics, axiom, ! [_44492, _44495] : (unequally_directed_lines(_44492, _44495) & unequally_directed_lines(_44492, reverse_line(_44495)) => left_convergent_lines(_44492, _44495) | left_convergent_lines(_44492, reverse_line(_44495))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax9_basics)).
% 0.40/1.44  fof(ax11_basics, axiom, ! [_44714, _44717] : ~ (left_convergent_lines(_44714, _44717) | left_convergent_lines(_44714, reverse_line(_44717))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax11_basics)).
% 0.40/1.44  
% 0.40/1.44  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.40/1.44  cnf(2, plain, [unequally_directed_opposite_lines(_11898, _11945), -(unequally_directed_lines(_11898, reverse_line(_11945)))], clausify(a1_defns)).
% 0.40/1.44  cnf(3, plain, [equally_directed_lines(_12888, _12935), unequally_directed_lines(_12888, _12935)], clausify(a4_defns)).
% 0.40/1.44  cnf(4, plain, [-(equally_directed_lines(_12888, _12935)), -(unequally_directed_lines(_12888, _12935))], clausify(a4_defns)).
% 0.40/1.44  cnf(5, plain, [convergent_lines(_13944, _13995), -(unequally_directed_lines(_13944, _13995))], clausify(a7_defns)).
% 0.40/1.44  cnf(6, plain, [convergent_lines(_13944, _13995), -(unequally_directed_opposite_lines(_13944, _13995))], clausify(a7_defns)).
% 0.40/1.44  cnf(7, plain, [unequally_directed_lines(_19879, reverse_line(_19940)), unequally_directed_lines(_19879, _19940), -(left_convergent_lines(_19879, _19940)), -(left_convergent_lines(_19879, reverse_line(_19940)))], clausify(ax9_basics)).
% 0.40/1.44  cnf(8, plain, [left_convergent_lines(_20751, _20800)], clausify(ax11_basics)).
% 0.40/1.44  
% 0.40/1.44  cnf('1',plain,[equally_directed_lines(1 ^ [], reverse_line(2 ^ [])), unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],start(3,bind([[_12888, _12935], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.40/1.44  cnf('1.1',plain,[-(equally_directed_lines(1 ^ [], reverse_line(2 ^ []))), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])))],extension(4,bind([[_12888, _12935], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.40/1.44  cnf('1.1.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])), unequally_directed_lines(1 ^ [], 2 ^ []), -(left_convergent_lines(1 ^ [], 2 ^ [])), -(left_convergent_lines(1 ^ [], reverse_line(2 ^ [])))],extension(7,bind([[_19879, _19940], [1 ^ [], 2 ^ []]]))).
% 0.40/1.44  cnf('1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(5,bind([[_13944, _13995], [1 ^ [], 2 ^ []]]))).
% 0.40/1.44  cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.40/1.44  cnf('1.1.1.2',plain,[left_convergent_lines(1 ^ [], 2 ^ [])],extension(8,bind([[_20751, _20800], [1 ^ [], 2 ^ []]]))).
% 0.40/1.44  cnf('1.1.1.3',plain,[left_convergent_lines(1 ^ [], reverse_line(2 ^ []))],extension(8,bind([[_20751, _20800], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.40/1.44  cnf('1.2',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))), unequally_directed_opposite_lines(1 ^ [], 2 ^ [])],extension(2,bind([[_11898, _11945], [1 ^ [], 2 ^ []]]))).
% 0.40/1.44  cnf('1.2.1',plain,[-(unequally_directed_opposite_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_13944, _13995], [1 ^ [], 2 ^ []]]))).
% 0.40/1.44  cnf('1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.40/1.44  %-----------------------------------------------------
% 0.40/1.44  
% 0.40/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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