TSTP Solution File: GEO175+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 05:03:14 EDT 2022

% Result   : Theorem 0.28s 1.35s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10  % Command  : leancop_casc.sh %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 12:25:17 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.28/1.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.35  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/1.36  
% 0.28/1.36  %-----------------------------------------------------
% 0.28/1.36  fof(con, conjecture, ! [_40241, _40244, _40247, _40250] : (distinct_points(_40241, _40244) & convergent_lines(_40247, _40250) & distinct_points(_40241, intersection_point(_40247, _40250)) => apart_point_and_line(_40241, _40247) | apart_point_and_line(_40241, _40250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.28/1.36  fof(apart1, axiom, ! [_40542] : ~ distinct_points(_40542, _40542), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.28/1.36  fof(apart3, axiom, ! [_40657] : ~ convergent_lines(_40657, _40657), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.28/1.36  fof(apart4, axiom, ! [_40771, _40774, _40777] : (distinct_points(_40771, _40774) => distinct_points(_40771, _40777) | distinct_points(_40774, _40777)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.28/1.36  fof(ci3, axiom, ! [_40960, _40963] : (convergent_lines(_40960, _40963) => ~ apart_point_and_line(intersection_point(_40960, _40963), _40960)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.28/1.36  fof(ci4, axiom, ! [_41129, _41132] : (convergent_lines(_41129, _41132) => ~ apart_point_and_line(intersection_point(_41129, _41132), _41132)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.28/1.36  fof(cu1, axiom, ! [_41298, _41301, _41304, _41307] : (distinct_points(_41298, _41301) & distinct_lines(_41304, _41307) => apart_point_and_line(_41298, _41304) | apart_point_and_line(_41298, _41307) | apart_point_and_line(_41301, _41304) | apart_point_and_line(_41301, _41307)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.28/1.36  fof(ceq3, axiom, ! [_41580, _41583, _41586] : (convergent_lines(_41580, _41583) => distinct_lines(_41583, _41586) | convergent_lines(_41580, _41586)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.28/1.36  
% 0.28/1.36  cnf(1, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.28/1.36  cnf(2, plain, [-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))], clausify(con)).
% 0.28/1.36  cnf(3, plain, [apart_point_and_line(1 ^ [], 3 ^ [])], clausify(con)).
% 0.28/1.36  cnf(4, plain, [apart_point_and_line(1 ^ [], 4 ^ [])], clausify(con)).
% 0.28/1.36  cnf(5, plain, [distinct_points(_12341, _12341)], clausify(apart1)).
% 0.28/1.36  cnf(6, plain, [convergent_lines(_12725, _12725)], clausify(apart3)).
% 0.28/1.36  cnf(7, plain, [distinct_points(_12917, _12973), -(distinct_points(_12917, _13028)), -(distinct_points(_12973, _13028))], clausify(apart4)).
% 0.28/1.36  cnf(8, plain, [convergent_lines(_15064, _15114), apart_point_and_line(intersection_point(_15064, _15114), _15064)], clausify(ci3)).
% 0.28/1.36  cnf(9, plain, [convergent_lines(_15437, _15487), apart_point_and_line(intersection_point(_15437, _15487), _15487)], clausify(ci4)).
% 0.28/1.36  cnf(10, plain, [distinct_lines(_15967, _16044), distinct_points(_15810, _15889), -(apart_point_and_line(_15810, _15967)), -(apart_point_and_line(_15810, _16044)), -(apart_point_and_line(_15889, _15967)), -(apart_point_and_line(_15889, _16044))], clausify(cu1)).
% 0.28/1.36  cnf(11, plain, [convergent_lines(_17575, _17631), -(distinct_lines(_17631, _17686)), -(convergent_lines(_17575, _17686))], clausify(ceq3)).
% 0.28/1.36  
% 0.28/1.36  cnf('1',plain,[convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])],start(8,bind([[_15114, _15064], [4 ^ [], 3 ^ []]]))).
% 0.28/1.36  cnf('1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.28/1.36  cnf('1.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), distinct_lines(4 ^ [], 3 ^ []), distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ [])), -(apart_point_and_line(1 ^ [], 3 ^ []))],extension(10,bind([[_15810, _15967, _15889, _16044], [intersection_point(3 ^ [], 4 ^ []), 4 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.28/1.36  cnf('1.2.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 4 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(11,bind([[_17631, _17575, _17686], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.28/1.36  cnf('1.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.28/1.36  cnf('1.2.1.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_12725], [3 ^ []]]))).
% 0.28/1.36  cnf('1.2.2',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_12973, _12917, _13028], [intersection_point(3 ^ [], 4 ^ []), 1 ^ [], 1 ^ []]]))).
% 0.28/1.36  cnf('1.2.2.1',plain,[-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))],extension(2)).
% 0.28/1.36  cnf('1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_12341], [1 ^ []]]))).
% 0.28/1.36  cnf('1.2.3',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_15437, _15487], [3 ^ [], 4 ^ []]]))).
% 0.28/1.36  cnf('1.2.3.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.28/1.36  cnf('1.2.4',plain,[apart_point_and_line(1 ^ [], 4 ^ [])],extension(4)).
% 0.28/1.36  cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], 3 ^ [])],extension(3)).
% 0.28/1.36  %-----------------------------------------------------
% 0.28/1.36  
% 0.28/1.36  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------