TSTP Solution File: GEO201+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n022.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 05:03:35 EDT 2022

% Result   : Theorem 0.31s 1.40s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n022.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 : Fri Jun 17 15:51:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.31/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41  
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  fof(con, conjecture, ! [_19336, _19339] : (convergent_lines(_19336, _19339) => ~ distinct_points(intersection_point(_19336, _19339), intersection_point(_19339, _19336))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.31/1.41  fof(apart3, axiom, ! [_19534] : ~ convergent_lines(_19534, _19534), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.31/1.41  fof(ax6, axiom, ! [_19650, _19653, _19656] : (convergent_lines(_19650, _19653) => convergent_lines(_19650, _19656) | convergent_lines(_19653, _19656)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.31/1.41  fof(ci3, axiom, ! [_19837, _19840] : (convergent_lines(_19837, _19840) => ~ apart_point_and_line(intersection_point(_19837, _19840), _19837)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.31/1.41  fof(ci4, axiom, ! [_20006, _20009] : (convergent_lines(_20006, _20009) => ~ apart_point_and_line(intersection_point(_20006, _20009), _20009)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.31/1.41  fof(cu1, axiom, ! [_20175, _20178, _20181, _20184] : (distinct_points(_20175, _20178) & distinct_lines(_20181, _20184) => apart_point_and_line(_20175, _20181) | apart_point_and_line(_20175, _20184) | apart_point_and_line(_20178, _20181) | apart_point_and_line(_20178, _20184)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.31/1.41  fof(ceq3, axiom, ! [_20457, _20460, _20463] : (convergent_lines(_20457, _20460) => distinct_lines(_20460, _20463) | convergent_lines(_20457, _20463)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.31/1.41  
% 0.31/1.41  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.31/1.41  cnf(2, plain, [-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.31/1.41  cnf(3, plain, [convergent_lines(_6503, _6503)], clausify(apart3)).
% 0.31/1.41  cnf(4, plain, [convergent_lines(_7629, _7685), -(convergent_lines(_7629, _7740)), -(convergent_lines(_7685, _7740))], clausify(ax6)).
% 0.31/1.41  cnf(5, plain, [convergent_lines(_8842, _8892), apart_point_and_line(intersection_point(_8842, _8892), _8842)], clausify(ci3)).
% 0.31/1.41  cnf(6, plain, [convergent_lines(_9215, _9265), apart_point_and_line(intersection_point(_9215, _9265), _9265)], clausify(ci4)).
% 0.31/1.41  cnf(7, plain, [distinct_lines(_9745, _9822), distinct_points(_9588, _9667), -(apart_point_and_line(_9588, _9745)), -(apart_point_and_line(_9588, _9822)), -(apart_point_and_line(_9667, _9745)), -(apart_point_and_line(_9667, _9822))], clausify(cu1)).
% 0.31/1.41  cnf(8, plain, [convergent_lines(_11353, _11409), -(distinct_lines(_11409, _11464)), -(convergent_lines(_11353, _11464))], clausify(ceq3)).
% 0.31/1.41  
% 0.31/1.41  cnf('1',plain,[convergent_lines(1 ^ [], 1 ^ [])],start(3,bind([[_6503], [1 ^ []]]))).
% 0.31/1.41  cnf('1.1',plain,[-(convergent_lines(1 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 1 ^ []))],extension(4,bind([[_7629, _7685, _7740], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.31/1.41  cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41  cnf('1.1.2',plain,[convergent_lines(2 ^ [], 1 ^ []), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(5,bind([[_8892, _8842], [1 ^ [], 2 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(7,bind([[_9745, _9588, _9667, _9822], [2 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_11409, _11353, _11464], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41  cnf('1.1.2.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(3,bind([[_6503], [1 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(2)).
% 0.31/1.41  cnf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_9215, _9265], [1 ^ [], 2 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41  cnf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(5,bind([[_8842, _8892], [1 ^ [], 2 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41  cnf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(6,bind([[_9215, _9265], [2 ^ [], 1 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.5.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  
% 0.31/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------