TSTP Solution File: GEO260+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 1.32s 2.45s
% Output   : Proof 1.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n025.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 06:01:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.32/2.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/2.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/2.46  
% 1.32/2.46  %-----------------------------------------------------
% 1.32/2.46  fof(con, conjecture, ! [_46014, _46017, _46020, _46023] : (line(_46014) & distinct_points(_46017, _46023) & distinct_points(_46020, _46023) & distinct_points(_46017, _46020) => ~ (between_on_line(_46014, _46017, _46020, _46023) & between_on_line(_46014, _46017, _46023, _46020))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 1.32/2.46  fof(oag5, axiom, ! [_46356] : ~ unequally_directed_lines(_46356, _46356), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag5)).
% 1.32/2.46  fof(oag6, axiom, ! [_46470, _46473, _46476] : (unequally_directed_lines(_46470, _46473) => unequally_directed_lines(_46470, _46476) | unequally_directed_lines(_46473, _46476)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag6)).
% 1.32/2.46  fof(oag7, axiom, ! [_46655, _46658, _46661] : (unequally_directed_lines(_46655, _46658) & unequally_directed_lines(_46655, reverse_line(_46658)) => unequally_directed_lines(_46655, _46661) & unequally_directed_lines(_46655, reverse_line(_46661)) | unequally_directed_lines(_46658, _46661) & unequally_directed_lines(_46658, reverse_line(_46661))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag7)).
% 1.32/2.46  fof(oag8, axiom, ! [_46965, _46968] : (line(_46965) & line(_46968) => unequally_directed_lines(_46965, _46968) | unequally_directed_lines(_46965, reverse_line(_46968))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag8)).
% 1.32/2.46  fof(oag9, axiom, ! [_47162, _47165] : (unequally_directed_lines(_47162, _47165) & unequally_directed_lines(_47162, reverse_line(_47165)) => left_convergent_lines(_47162, _47165) | left_convergent_lines(_47162, reverse_line(_47165))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag9)).
% 1.32/2.46  fof(oag11, axiom, ! [_47384, _47387] : ~ (left_convergent_lines(_47384, _47387) | left_convergent_lines(_47384, reverse_line(_47387))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oag11)).
% 1.32/2.46  fof(oagco9, axiom, ! [_47557, _47560] : ~ unequally_directed_lines(line_connecting(_47557, _47560), reverse_line(line_connecting(_47560, _47557))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax', oagco9)).
% 1.32/2.46  
% 1.32/2.46  cnf(1, plain, [-(line(1 ^ []))], clausify(con)).
% 1.32/2.46  cnf(2, plain, [unequally_directed_lines(_16184, _16184)], clausify(oag5)).
% 1.32/2.46  cnf(3, plain, [unequally_directed_lines(_16376, _16432), -(unequally_directed_lines(_16376, _16487)), -(unequally_directed_lines(_16432, _16487))], clausify(oag6)).
% 1.32/2.46  cnf(4, plain, [unequally_directed_lines(_16843, reverse_line(_16923)), unequally_directed_lines(_16843, _16923), -(unequally_directed_lines(_16843, _17002)), -(unequally_directed_lines(_16923, _17002))], clausify(oag7)).
% 1.32/2.46  cnf(5, plain, [unequally_directed_lines(_16843, reverse_line(_16923)), unequally_directed_lines(_16843, _16923), -(unequally_directed_lines(_16843, _17002)), -(unequally_directed_lines(_16923, reverse_line(_17002)))], clausify(oag7)).
% 1.32/2.46  cnf(6, plain, [line(_17709), line(_17652), -(unequally_directed_lines(_17652, _17709)), -(unequally_directed_lines(_17652, reverse_line(_17709)))], clausify(oag8)).
% 1.32/2.46  cnf(7, plain, [unequally_directed_lines(_18108, reverse_line(_18169)), unequally_directed_lines(_18108, _18169), -(left_convergent_lines(_18108, _18169)), -(left_convergent_lines(_18108, reverse_line(_18169)))], clausify(oag9)).
% 1.32/2.46  cnf(8, plain, [left_convergent_lines(_18980, _19029)], clausify(oag11)).
% 1.32/2.46  cnf(9, plain, [unequally_directed_lines(line_connecting(_22593, _22642), reverse_line(line_connecting(_22642, _22593)))], clausify(oagco9)).
% 1.32/2.46  
% 1.32/2.46  cnf('1',plain,[unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(line_connecting(_38329, _38329)))],start(9,bind([[_22642, _22593], [_38329, _38329]]))).
% 1.32/2.46  cnf('1.1',plain,[-(unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(line_connecting(_38329, _38329)))), unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329)), -(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38329, _38329))))],extension(3,bind([[_16432, _16376, _16487], [line_connecting(_38329, _38329), 1 ^ [], reverse_line(line_connecting(_38329, _38329))]]))).
% 1.32/2.46  cnf('1.1.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329))), unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), -(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329)))],extension(3,bind([[_16376, _16432, _16487], [1 ^ [], reverse_line(1 ^ []), line_connecting(_38329, _38329)]]))).
% 1.32/2.46  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([[_16376, _16432, _16487], [1 ^ [], 1 ^ [], reverse_line(1 ^ [])]]))).
% 1.32/2.46  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([[_17652, _17709], [1 ^ [], 1 ^ []]]))).
% 1.32/2.46  cnf('1.1.1.1.1.1',plain,[-(line(1 ^ []))],extension(1)).
% 1.32/2.46  cnf('1.1.1.1.1.2',plain,[-(line(1 ^ []))],extension(1)).
% 1.32/2.46  cnf('1.1.1.1.1.3',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.32/2.46  cnf('1.1.1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.32/2.46  cnf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329)), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38329, _38329))), -(left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329))), -(left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38329, _38329))))],extension(7,bind([[_18108, _18169], [reverse_line(1 ^ []), line_connecting(_38329, _38329)]]))).
% 1.32/2.46  cnf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38329, _38329)))), unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329)), -(unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(line_connecting(_38329, _38329))))],extension(3,bind([[_16376, _16432, _16487], [reverse_line(1 ^ []), line_connecting(_38329, _38329), reverse_line(line_connecting(_38329, _38329))]]))).
% 1.32/2.46  cnf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329)))],reduction('1.1.1')).
% 1.32/2.46  cnf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(line_connecting(_38329, _38329)))],extension(9,bind([[_22642, _22593], [_38329, _38329]]))).
% 1.32/2.46  cnf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38329, _38329))],extension(8,bind([[_18980, _19029], [reverse_line(1 ^ []), line_connecting(_38329, _38329)]]))).
% 1.32/2.46  cnf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38329, _38329)))],extension(8,bind([[_18980, _19029], [reverse_line(1 ^ []), reverse_line(line_connecting(_38329, _38329))]]))).
% 1.32/2.46  cnf('1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38329, _38329))), unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329)), -(unequally_directed_lines(1 ^ [], 1 ^ [])), -(unequally_directed_lines(line_connecting(_38329, _38329), 1 ^ []))],extension(4,bind([[_16843, _16923, _17002], [1 ^ [], line_connecting(_38329, _38329), 1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329)))],lemmata('1.1')).
% 1.32/2.46  cnf('1.1.2.2',plain,[unequally_directed_lines(1 ^ [], 1 ^ [])],extension(2,bind([[_16184], [1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_38329, _38329), 1 ^ []), unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(1 ^ [])), -(left_convergent_lines(line_connecting(_38329, _38329), 1 ^ [])), -(left_convergent_lines(line_connecting(_38329, _38329), reverse_line(1 ^ [])))],extension(7,bind([[_18108, _18169], [line_connecting(_38329, _38329), 1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_38329, _38329), reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38329, _38329))), unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329)), -(unequally_directed_lines(1 ^ [], 1 ^ []))],extension(5,bind([[_16923, _16843, _17002], [line_connecting(_38329, _38329), 1 ^ [], 1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.3.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38329, _38329))))],reduction('1.1')).
% 1.32/2.46  cnf('1.1.2.3.1.2',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38329, _38329)))],lemmata('1.1.2')).
% 1.32/2.46  cnf('1.1.2.3.1.3',plain,[unequally_directed_lines(1 ^ [], 1 ^ [])],extension(2,bind([[_16184], [1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_38329, _38329), 1 ^ [])],extension(8,bind([[_18980, _19029], [line_connecting(_38329, _38329), 1 ^ []]]))).
% 1.32/2.46  cnf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_38329, _38329), reverse_line(1 ^ []))],extension(8,bind([[_18980, _19029], [line_connecting(_38329, _38329), reverse_line(1 ^ [])]]))).
% 1.32/2.46  %-----------------------------------------------------
% 1.32/2.47  
% 1.32/2.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------