%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO269+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO269+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 20:33:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 fof(con, conjecture, ! [_45403] : equally_directed_opposite_lines(_45403, reverse_line(_45403)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.34/1.41 fof(a1_defns, axiom, ! [_45519, _45522] : (unequally_directed_opposite_lines(_45519, _45522) <=> unequally_directed_lines(_45519, reverse_line(_45522))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a1_defns)).
% 0.34/1.41 fof(a4_defns, axiom, ! [_45679, _45682] : (equally_directed_lines(_45679, _45682) <=> ~ unequally_directed_lines(_45679, _45682)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 0.34/1.41 fof(a5_defns, axiom, ! [_45845, _45848] : (equally_directed_opposite_lines(_45845, _45848) <=> ~ unequally_directed_opposite_lines(_45845, _45848)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a5_defns)).
% 0.34/1.41 fof(ax6_basics, axiom, ! [_46026, _46029, _46032] : (unequally_directed_lines(_46026, _46029) => unequally_directed_lines(_46026, _46032) | unequally_directed_lines(_46029, _46032)), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax6_basics)).
% 0.34/1.41 fof(ax7_basics, axiom, ! [_46211, _46214, _46217] : (unequally_directed_lines(_46211, _46214) & unequally_directed_lines(_46211, reverse_line(_46214)) => unequally_directed_lines(_46211, _46217) & unequally_directed_lines(_46211, reverse_line(_46217)) | unequally_directed_lines(_46214, _46217) & unequally_directed_lines(_46214, reverse_line(_46217))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax7_basics)).
% 0.34/1.41 fof(ax8_basics, axiom, ! [_46510, _46513] : (unequally_directed_lines(_46510, _46513) | unequally_directed_lines(_46510, reverse_line(_46513))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax8_basics)).
% 0.34/1.41 fof(ax9_basics, axiom, ! [_46665, _46668] : (unequally_directed_lines(_46665, _46668) & unequally_directed_lines(_46665, reverse_line(_46668)) => left_convergent_lines(_46665, _46668) | left_convergent_lines(_46665, reverse_line(_46668))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax9_basics)).
% 0.34/1.41 fof(ax11_basics, axiom, ! [_46887, _46890] : ~ (left_convergent_lines(_46887, _46890) | left_convergent_lines(_46887, reverse_line(_46890))), file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax11_basics)).
% 0.34/1.41
% 0.34/1.41 cnf(1, plain, [equally_directed_opposite_lines(1 ^ [], reverse_line(1 ^ []))], clausify(con)).
% 0.34/1.41 cnf(2, plain, [unequally_directed_opposite_lines(_11630, _11677), -(unequally_directed_lines(_11630, reverse_line(_11677)))], clausify(a1_defns)).
% 0.34/1.41 cnf(3, plain, [equally_directed_lines(_12620, _12667), unequally_directed_lines(_12620, _12667)], clausify(a4_defns)).
% 0.34/1.41 cnf(4, plain, [-(equally_directed_lines(_12620, _12667)), -(unequally_directed_lines(_12620, _12667))], clausify(a4_defns)).
% 0.34/1.41 cnf(5, plain, [-(equally_directed_opposite_lines(_12950, _12997)), -(unequally_directed_opposite_lines(_12950, _12997))], clausify(a5_defns)).
% 0.34/1.41 cnf(6, plain, [unequally_directed_lines(_18005, _18061), -(unequally_directed_lines(_18005, _18116)), -(unequally_directed_lines(_18061, _18116))], clausify(ax6_basics)).
% 0.34/1.41 cnf(7, plain, [unequally_directed_lines(_18472, reverse_line(_18552)), unequally_directed_lines(_18472, _18552), -(unequally_directed_lines(_18472, _18631)), -(unequally_directed_lines(_18552, _18631))], clausify(ax7_basics)).
% 0.34/1.41 cnf(8, plain, [-(unequally_directed_lines(_19281, _19328)), -(unequally_directed_lines(_19281, reverse_line(_19328)))], clausify(ax8_basics)).
% 0.34/1.41 cnf(9, plain, [unequally_directed_lines(_19611, reverse_line(_19672)), unequally_directed_lines(_19611, _19672), -(left_convergent_lines(_19611, _19672)), -(left_convergent_lines(_19611, reverse_line(_19672)))], clausify(ax9_basics)).
% 0.34/1.41 cnf(10, plain, [left_convergent_lines(_20483, _20532)], clausify(ax11_basics)).
% 0.34/1.41
% 0.34/1.41 cnf('1',plain,[equally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ []))],start(3,bind([[_12620, _12667], [reverse_line(1 ^ []), reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.1',plain,[-(equally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ []))), -(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])))],extension(4,bind([[_12620, _12667], [reverse_line(1 ^ []), reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.1.1',plain,[unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])), unequally_directed_lines(reverse_line(1 ^ []), 1 ^ []), -(left_convergent_lines(reverse_line(1 ^ []), 1 ^ [])), -(left_convergent_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])))],extension(9,bind([[_19611, _19672], [reverse_line(1 ^ []), 1 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), 1 ^ [])), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])), -(unequally_directed_lines(reverse_line(1 ^ []), 1 ^ []))],extension(6,bind([[_18005, _18061, _18116], [reverse_line(1 ^ []), reverse_line(1 ^ []), 1 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ [])))],reduction('1.1')).
% 0.34/1.41 cnf('1.1.1.1.2',plain,[unequally_directed_lines(reverse_line(1 ^ []), 1 ^ [])],reduction('1.1.1')).
% 0.34/1.41 cnf('1.1.1.2',plain,[left_convergent_lines(reverse_line(1 ^ []), 1 ^ [])],extension(10,bind([[_20483, _20532], [reverse_line(1 ^ []), 1 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.3',plain,[left_convergent_lines(reverse_line(1 ^ []), reverse_line(1 ^ []))],extension(10,bind([[_20483, _20532], [reverse_line(1 ^ []), reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(7,bind([[_18552, _18472, _18631], [reverse_line(1 ^ []), 1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ [])))), unequally_directed_opposite_lines(1 ^ [], reverse_line(1 ^ []))],extension(2,bind([[_11630, _11677], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.1.1',plain,[-(unequally_directed_opposite_lines(1 ^ [], reverse_line(1 ^ []))), -(equally_directed_opposite_lines(1 ^ [], reverse_line(1 ^ [])))],extension(5,bind([[_12950, _12997], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.1.1.1',plain,[equally_directed_opposite_lines(1 ^ [], reverse_line(1 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.2.2',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], 1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(6,bind([[_18005, _18061, _18116], [1 ^ [], 1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.2.1',plain,[-(unequally_directed_lines(1 ^ [], 1 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(8,bind([[_19281, _19328], [1 ^ [], 1 ^ []]]))).
% 0.34/1.41 cnf('1.2.2.1.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.2')).
% 0.34/1.41 cnf('1.2.2.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.2')).
% 0.34/1.41 cnf('1.2.3',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(9,bind([[_19611, _19672], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.3.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(reverse_line(1 ^ []))))],lemmata('1.2')).
% 0.34/1.41 cnf('1.2.3.2',plain,[left_convergent_lines(1 ^ [], reverse_line(1 ^ []))],extension(10,bind([[_20483, _20532], [1 ^ [], reverse_line(1 ^ [])]]))).
% 0.34/1.41 cnf('1.2.3.3',plain,[left_convergent_lines(1 ^ [], reverse_line(reverse_line(1 ^ [])))],extension(10,bind([[_20483, _20532], [1 ^ [], reverse_line(reverse_line(1 ^ []))]]))).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------