%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 05:04:20 EDT 2022
% Result : Theorem 0.29s 1.32s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.07 % Command : leancop_casc.sh %s %d
% 0.06/0.25 % Computer : n018.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sat Jun 18 12:22:03 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.29/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.33
% 0.29/1.33 %-----------------------------------------------------
% 0.29/1.33 fof(con, conjecture, ! [_46264, _46267] : (unequally_directed_lines(_46264, _46267) <=> unequally_directed_opposite_lines(_46264, reverse_line(_46267))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.29/1.33 fof(a1_defns, axiom, ! [_46463, _46466] : (unequally_directed_opposite_lines(_46463, _46466) <=> unequally_directed_lines(_46463, reverse_line(_46466))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a1_defns)).
% 0.29/1.33 fof(a4_defns, axiom, ! [_46634, _46637] : (equally_directed_lines(_46634, _46637) <=> ~ unequally_directed_lines(_46634, _46637)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 0.29/1.33 fof(ax5_basics, axiom, ! [_46817] : equally_directed_lines(_46817, _46817), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax5_basics)).
% 0.29/1.33 fof(ax6_basics, axiom, ! [_46924, _46927, _46930] : (unequally_directed_lines(_46924, _46927) => unequally_directed_lines(_46924, _46930) | unequally_directed_lines(_46927, _46930)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax6_basics)).
% 0.29/1.33 fof(ax7_basics, axiom, ! [_47110, _47113, _47116] : (unequally_directed_lines(_47110, _47113) & unequally_directed_lines(_47110, reverse_line(_47113)) => unequally_directed_lines(_47110, _47116) & unequally_directed_lines(_47110, reverse_line(_47116)) | unequally_directed_lines(_47113, _47116) & unequally_directed_lines(_47113, reverse_line(_47116))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax7_basics)).
% 0.29/1.33 fof(ax8_basics, axiom, ! [_47408, _47411] : (unequally_directed_lines(_47408, _47411) | unequally_directed_lines(_47408, reverse_line(_47411))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax8_basics)).
% 0.29/1.33 fof(ax9_basics, axiom, ! [_47563, _47566] : (unequally_directed_lines(_47563, _47566) & unequally_directed_lines(_47563, reverse_line(_47566)) => left_convergent_lines(_47563, _47566) | left_convergent_lines(_47563, reverse_line(_47566))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax9_basics)).
% 0.29/1.33 fof(ax11_basics, axiom, ! [_47785, _47788] : ~ (left_convergent_lines(_47785, _47788) | left_convergent_lines(_47785, reverse_line(_47788))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax11_basics)).
% 0.29/1.33
% 0.29/1.33 cnf(1, plain, [-(4 ^ []), unequally_directed_lines(1 ^ [], 2 ^ [])], clausify(con)).
% 0.29/1.33 cnf(2, plain, [-(4 ^ []), -(unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ [])))], clausify(con)).
% 0.29/1.33 cnf(3, plain, [-(3 ^ []), unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ []))], clausify(con)).
% 0.29/1.33 cnf(4, plain, [-(3 ^ []), -(unequally_directed_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.29/1.33 cnf(5, plain, [3 ^ [], 4 ^ []], clausify(con)).
% 0.29/1.33 cnf(6, plain, [unequally_directed_opposite_lines(_11696, _11743), -(unequally_directed_lines(_11696, reverse_line(_11743)))], clausify(a1_defns)).
% 0.29/1.33 cnf(7, plain, [-(unequally_directed_opposite_lines(_11696, _11743)), unequally_directed_lines(_11696, reverse_line(_11743))], clausify(a1_defns)).
% 0.29/1.33 cnf(8, plain, [equally_directed_lines(_12686, _12733), unequally_directed_lines(_12686, _12733)], clausify(a4_defns)).
% 0.29/1.33 cnf(9, plain, [-(equally_directed_lines(_17897, _17897))], clausify(ax5_basics)).
% 0.29/1.33 cnf(10, plain, [unequally_directed_lines(_18071, _18127), -(unequally_directed_lines(_18071, _18182)), -(unequally_directed_lines(_18127, _18182))], clausify(ax6_basics)).
% 0.29/1.33 cnf(11, plain, [unequally_directed_lines(_18538, reverse_line(_18618)), unequally_directed_lines(_18538, _18618), -(unequally_directed_lines(_18538, _18697)), -(unequally_directed_lines(_18618, reverse_line(_18697)))], clausify(ax7_basics)).
% 0.29/1.33 cnf(12, plain, [-(unequally_directed_lines(_19347, _19394)), -(unequally_directed_lines(_19347, reverse_line(_19394)))], clausify(ax8_basics)).
% 0.29/1.33 cnf(13, plain, [unequally_directed_lines(_19677, reverse_line(_19738)), unequally_directed_lines(_19677, _19738), -(left_convergent_lines(_19677, _19738)), -(left_convergent_lines(_19677, reverse_line(_19738)))], clausify(ax9_basics)).
% 0.29/1.33 cnf(14, plain, [left_convergent_lines(_20549, _20598)], clausify(ax11_basics)).
% 0.29/1.33
% 0.29/1.33 cnf('1',plain,[3 ^ [], 4 ^ []],start(5)).
% 0.29/1.33 cnf('1.1',plain,[-(3 ^ []), -(unequally_directed_lines(1 ^ [], 2 ^ []))],extension(4)).
% 0.29/1.33 cnf('1.1.1',plain,[unequally_directed_lines(1 ^ [], 2 ^ []), unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ [])))), -(unequally_directed_lines(2 ^ [], reverse_line(reverse_line(reverse_line(2 ^ [])))))],extension(11,bind([[_18538, _18618, _18697], [1 ^ [], 2 ^ [], reverse_line(reverse_line(2 ^ []))]]))).
% 0.29/1.33 cnf('1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))), -(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ []))))],extension(12,bind([[_19347, _19394], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.29/1.33 cnf('1.1.1.1.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ []))), -(unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ [])))],extension(7,bind([[_11696, _11743], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.29/1.33 cnf('1.1.1.1.1.1',plain,[unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ [])), -(3 ^ [])],extension(3)).
% 0.29/1.33 cnf('1.1.1.1.1.1.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.33 cnf('1.1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ []))), -(unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ [])))],extension(7,bind([[_11696, _11743], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.29/1.33 cnf('1.1.1.2.1',plain,[unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ [])), -(3 ^ [])],extension(3)).
% 0.29/1.33 cnf('1.1.1.2.1.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.33 cnf('1.1.1.3',plain,[unequally_directed_lines(2 ^ [], reverse_line(reverse_line(reverse_line(2 ^ [])))), unequally_directed_lines(2 ^ [], reverse_line(reverse_line(2 ^ []))), -(left_convergent_lines(2 ^ [], reverse_line(reverse_line(2 ^ [])))), -(left_convergent_lines(2 ^ [], reverse_line(reverse_line(reverse_line(2 ^ [])))))],extension(13,bind([[_19677, _19738], [2 ^ [], reverse_line(reverse_line(2 ^ []))]]))).
% 0.29/1.33 cnf('1.1.1.3.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(reverse_line(2 ^ [])))), unequally_directed_lines(1 ^ [], 2 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ []))))],extension(10,bind([[_18127, _18071, _18182], [2 ^ [], 1 ^ [], reverse_line(reverse_line(2 ^ []))]]))).
% 0.29/1.33 cnf('1.1.1.3.1.1',plain,[-(unequally_directed_lines(1 ^ [], 2 ^ []))],reduction('1.1')).
% 0.29/1.33 cnf('1.1.1.3.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ [])))],lemmata('1.1.1')).
% 0.29/1.33 cnf('1.1.1.3.2',plain,[left_convergent_lines(2 ^ [], reverse_line(reverse_line(2 ^ [])))],extension(14,bind([[_20549, _20598], [2 ^ [], reverse_line(reverse_line(2 ^ []))]]))).
% 0.29/1.33 cnf('1.1.1.3.3',plain,[left_convergent_lines(2 ^ [], reverse_line(reverse_line(reverse_line(2 ^ []))))],extension(14,bind([[_20549, _20598], [2 ^ [], reverse_line(reverse_line(reverse_line(2 ^ [])))]]))).
% 0.29/1.33 cnf('1.2',plain,[-(4 ^ []), unequally_directed_lines(1 ^ [], 2 ^ [])],extension(1)).
% 0.29/1.33 cnf('1.2.1',plain,[-(unequally_directed_lines(1 ^ [], 2 ^ [])), unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])), -(unequally_directed_lines(reverse_line(2 ^ []), reverse_line(2 ^ [])))],extension(11,bind([[_18538, _18618, _18697], [1 ^ [], reverse_line(2 ^ []), 2 ^ []]]))).
% 0.29/1.33 cnf('1.2.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(2 ^ [])))), unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ []))],extension(6,bind([[_11696, _11743], [1 ^ [], reverse_line(2 ^ [])]]))).
% 0.29/1.33 cnf('1.2.1.1.1',plain,[-(unequally_directed_opposite_lines(1 ^ [], reverse_line(2 ^ []))), -(4 ^ [])],extension(2)).
% 0.29/1.33 cnf('1.2.1.1.1.1',plain,[4 ^ []],reduction('1')).
% 0.29/1.33 cnf('1.2.1.2',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))), -(unequally_directed_lines(1 ^ [], 2 ^ []))],extension(12,bind([[_19347, _19394], [1 ^ [], 2 ^ []]]))).
% 0.29/1.33 cnf('1.2.1.2.1',plain,[unequally_directed_lines(1 ^ [], 2 ^ [])],reduction('1.2')).
% 0.29/1.33 cnf('1.2.1.3',plain,[unequally_directed_lines(reverse_line(2 ^ []), reverse_line(2 ^ [])), equally_directed_lines(reverse_line(2 ^ []), reverse_line(2 ^ []))],extension(8,bind([[_12686, _12733], [reverse_line(2 ^ []), reverse_line(2 ^ [])]]))).
% 0.29/1.33 cnf('1.2.1.3.1',plain,[-(equally_directed_lines(reverse_line(2 ^ []), reverse_line(2 ^ [])))],extension(9,bind([[_17897], [reverse_line(2 ^ [])]]))).
% 0.29/1.33 %-----------------------------------------------------
% 0.29/1.34
% 0.29/1.34 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------