TSTP Solution File: GEO233+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n011.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 05:04:01 EDT 2022

% Result   : Theorem 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 17:27:07 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.35/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(con, conjecture, ! [_44883] : equally_directed_lines(reverse_line(reverse_line(_44883)), _44883), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.41  fof(a4_defns, axiom, ! [_45014, _45017] : (equally_directed_lines(_45014, _45017) <=> ~ unequally_directed_lines(_45014, _45017)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 0.35/1.41  fof(ax6_basics, axiom, ! [_45209, _45212, _45215] : (unequally_directed_lines(_45209, _45212) => unequally_directed_lines(_45209, _45215) | unequally_directed_lines(_45212, _45215)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax6_basics)).
% 0.35/1.41  fof(ax9_basics, axiom, ! [_45399, _45402] : (unequally_directed_lines(_45399, _45402) & unequally_directed_lines(_45399, reverse_line(_45402)) => left_convergent_lines(_45399, _45402) | left_convergent_lines(_45399, reverse_line(_45402))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax9_basics)).
% 0.35/1.41  fof(ax11_basics, axiom, ! [_45621, _45624] : ~ (left_convergent_lines(_45621, _45624) | left_convergent_lines(_45621, reverse_line(_45624))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax11_basics)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [equally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])], clausify(con)).
% 0.35/1.41  cnf(2, plain, [equally_directed_lines(_12629, _12676), unequally_directed_lines(_12629, _12676)], clausify(a4_defns)).
% 0.35/1.41  cnf(3, plain, [-(equally_directed_lines(_12629, _12676)), -(unequally_directed_lines(_12629, _12676))], clausify(a4_defns)).
% 0.35/1.41  cnf(4, plain, [unequally_directed_lines(_18014, _18070), -(unequally_directed_lines(_18014, _18125)), -(unequally_directed_lines(_18070, _18125))], clausify(ax6_basics)).
% 0.35/1.41  cnf(5, plain, [unequally_directed_lines(_19620, reverse_line(_19681)), unequally_directed_lines(_19620, _19681), -(left_convergent_lines(_19620, _19681)), -(left_convergent_lines(_19620, reverse_line(_19681)))], clausify(ax9_basics)).
% 0.35/1.41  cnf(6, plain, [left_convergent_lines(_20492, _20541)], clausify(ax11_basics)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[equally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])), unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))],start(2,bind([[_12629, _12676], [reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.1',plain,[-(equally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])))],extension(3,bind([[_12629, _12676], [reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.1.1',plain,[unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])), unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ []), -(left_convergent_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])), -(left_convergent_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])))],extension(5,bind([[_19620, _19681], [reverse_line(reverse_line(1 ^ [])), 1 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])), -(equally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ []))],extension(3,bind([[_12629, _12676], [reverse_line(reverse_line(1 ^ [])), 1 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.1.1',plain,[equally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])],extension(1)).
% 0.35/1.41  cnf('1.1.1.2',plain,[left_convergent_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])],extension(6,bind([[_20492, _20541], [reverse_line(reverse_line(1 ^ [])), 1 ^ []]]))).
% 0.35/1.41  cnf('1.1.1.3',plain,[left_convergent_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))],extension(6,bind([[_20492, _20541], [reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.2',plain,[-(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(4,bind([[_18070, _18014, _18125], [reverse_line(reverse_line(1 ^ [])), 1 ^ [], reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.2.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ [])))), unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ []), -(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(reverse_line(1 ^ []))))],extension(4,bind([[_18070, _18014, _18125], [1 ^ [], reverse_line(reverse_line(1 ^ [])), reverse_line(reverse_line(1 ^ []))]]))).
% 0.35/1.41  cnf('1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])), -(equally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ []))],extension(3,bind([[_12629, _12676], [reverse_line(reverse_line(1 ^ [])), 1 ^ []]]))).
% 0.35/1.41  cnf('1.2.1.1.1',plain,[equally_directed_lines(reverse_line(reverse_line(1 ^ [])), 1 ^ [])],extension(1)).
% 0.35/1.41  cnf('1.2.1.2',plain,[unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(reverse_line(1 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))), -(unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])))],extension(4,bind([[_18014, _18070, _18125], [reverse_line(reverse_line(1 ^ [])), reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.2.1.2.1',plain,[unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))],reduction('1')).
% 0.35/1.41  cnf('1.2.1.2.2',plain,[unequally_directed_lines(reverse_line(reverse_line(1 ^ [])), reverse_line(1 ^ []))],lemmata('1.2.1.2')).
% 0.35/1.41  cnf('1.2.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))), -(left_convergent_lines(1 ^ [], reverse_line(1 ^ []))), -(left_convergent_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))))],extension(5,bind([[_19620, _19681], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.2.2.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))))],lemmata('1.2')).
% 0.35/1.41  cnf('1.2.2.2',plain,[left_convergent_lines(1 ^ [], reverse_line(1 ^ []))],extension(6,bind([[_20492, _20541], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.35/1.41  cnf('1.2.2.3',plain,[left_convergent_lines(1 ^ [], reverse_line(reverse_line(1 ^ [])))],extension(6,bind([[_20492, _20541], [1 ^ [], reverse_line(reverse_line(1 ^ []))]]))).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------