TSTP Solution File: GEO231+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 05:04:00 EDT 2022
% Result : Theorem 10.32s 10.70s
% Output : Proof 10.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n010.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 18:43:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.32/10.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.32/10.71 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.32/10.71
% 10.32/10.71 %-----------------------------------------------------
% 10.32/10.71 fof(con, conjecture, ! [_54596, _54599, _54602] : (equally_directed_opposite_lines(_54596, _54599) & equally_directed_lines(_54596, _54602) => equally_directed_opposite_lines(_54599, _54602)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 10.32/10.71 fof(a1_defns, axiom, ! [_54803, _54806] : (unequally_directed_opposite_lines(_54803, _54806) <=> unequally_directed_lines(_54803, reverse_line(_54806))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a1_defns)).
% 10.32/10.71 fof(a4_defns, axiom, ! [_54974, _54977] : (equally_directed_lines(_54974, _54977) <=> ~ unequally_directed_lines(_54974, _54977)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 10.32/10.71 fof(a5_defns, axiom, ! [_55128, _55131] : (equally_directed_opposite_lines(_55128, _55131) <=> ~ unequally_directed_opposite_lines(_55128, _55131)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', a5_defns)).
% 10.32/10.71 fof(ax5_basics, axiom, ! [_55320] : equally_directed_lines(_55320, _55320), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax5_basics)).
% 10.32/10.71 fof(ax6_basics, axiom, ! [_55427, _55430, _55433] : (unequally_directed_lines(_55427, _55430) => unequally_directed_lines(_55427, _55433) | unequally_directed_lines(_55430, _55433)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax6_basics)).
% 10.32/10.71 fof(ax7_basics, axiom, ! [_55612, _55615, _55618] : (unequally_directed_lines(_55612, _55615) & unequally_directed_lines(_55612, reverse_line(_55615)) => unequally_directed_lines(_55612, _55618) & unequally_directed_lines(_55612, reverse_line(_55618)) | unequally_directed_lines(_55615, _55618) & unequally_directed_lines(_55615, reverse_line(_55618))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax7_basics)).
% 10.32/10.71 fof(ax8_basics, axiom, ! [_55922, _55925] : (unequally_directed_lines(_55922, _55925) | unequally_directed_lines(_55922, reverse_line(_55925))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax8_basics)).
% 10.32/10.71 fof(ax9_basics, axiom, ! [_56077, _56080] : (unequally_directed_lines(_56077, _56080) & unequally_directed_lines(_56077, reverse_line(_56080)) => left_convergent_lines(_56077, _56080) | left_convergent_lines(_56077, reverse_line(_56080))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax9_basics)).
% 10.32/10.71 fof(ax11_basics, axiom, ! [_56299, _56302] : ~ (left_convergent_lines(_56299, _56302) | left_convergent_lines(_56299, reverse_line(_56302))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax11_basics)).
% 10.32/10.71 fof(ax3_subs, axiom, ! [_56477, _56480, _56483] : (left_convergent_lines(_56477, _56480) => unequally_directed_lines(_56480, _56483) | left_convergent_lines(_56477, _56483)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax', ax3_subs)).
% 10.32/10.71
% 10.32/10.71 cnf(1, plain, [-(equally_directed_opposite_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 10.32/10.71 cnf(2, plain, [-(equally_directed_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 10.32/10.71 cnf(3, plain, [equally_directed_opposite_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 10.32/10.71 cnf(4, plain, [unequally_directed_opposite_lines(_11785, _11832), -(unequally_directed_lines(_11785, reverse_line(_11832)))], clausify(a1_defns)).
% 10.32/10.71 cnf(5, plain, [-(unequally_directed_opposite_lines(_11785, _11832)), unequally_directed_lines(_11785, reverse_line(_11832))], clausify(a1_defns)).
% 10.32/10.71 cnf(6, plain, [equally_directed_lines(_12775, _12822), unequally_directed_lines(_12775, _12822)], clausify(a4_defns)).
% 10.32/10.71 cnf(7, plain, [equally_directed_opposite_lines(_13105, _13152), unequally_directed_opposite_lines(_13105, _13152)], clausify(a5_defns)).
% 10.32/10.71 cnf(8, plain, [-(equally_directed_opposite_lines(_13105, _13152)), -(unequally_directed_opposite_lines(_13105, _13152))], clausify(a5_defns)).
% 10.32/10.71 cnf(9, plain, [-(equally_directed_lines(_17986, _17986))], clausify(ax5_basics)).
% 10.32/10.71 cnf(10, plain, [unequally_directed_lines(_18160, _18216), -(unequally_directed_lines(_18160, _18271)), -(unequally_directed_lines(_18216, _18271))], clausify(ax6_basics)).
% 10.32/10.71 cnf(11, plain, [unequally_directed_lines(_18627, reverse_line(_18707)), unequally_directed_lines(_18627, _18707), -(unequally_directed_lines(_18627, _18786)), -(unequally_directed_lines(_18707, _18786))], clausify(ax7_basics)).
% 10.32/10.71 cnf(12, plain, [unequally_directed_lines(_18627, reverse_line(_18707)), unequally_directed_lines(_18627, _18707), -(unequally_directed_lines(_18627, _18786)), -(unequally_directed_lines(_18707, reverse_line(_18786)))], clausify(ax7_basics)).
% 10.32/10.71 cnf(13, plain, [-(unequally_directed_lines(_19436, _19483)), -(unequally_directed_lines(_19436, reverse_line(_19483)))], clausify(ax8_basics)).
% 10.32/10.71 cnf(14, plain, [unequally_directed_lines(_19766, reverse_line(_19827)), unequally_directed_lines(_19766, _19827), -(left_convergent_lines(_19766, _19827)), -(left_convergent_lines(_19766, reverse_line(_19827)))], clausify(ax9_basics)).
% 10.32/10.71 cnf(15, plain, [left_convergent_lines(_20638, _20687)], clausify(ax11_basics)).
% 10.32/10.71 cnf(16, plain, [left_convergent_lines(_27906, _27962), -(unequally_directed_lines(_27962, _28017)), -(left_convergent_lines(_27906, _28017))], clausify(ax3_subs)).
% 10.32/10.71
% 10.32/10.71 cnf('1',plain,[equally_directed_opposite_lines(1 ^ [], 2 ^ []), unequally_directed_opposite_lines(1 ^ [], 2 ^ [])],start(7,bind([[_13105, _13152], [1 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.1',plain,[-(equally_directed_opposite_lines(1 ^ [], 2 ^ []))],extension(1)).
% 10.32/10.71 cnf('1.2',plain,[-(unequally_directed_opposite_lines(1 ^ [], 2 ^ [])), unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],extension(5,bind([[_11785, _11832], [1 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))), unequally_directed_lines(reverse_line(3 ^ []), reverse_line(1 ^ [])), unequally_directed_lines(reverse_line(3 ^ []), 1 ^ []), -(unequally_directed_lines(reverse_line(3 ^ []), reverse_line(2 ^ [])))],extension(11,bind([[_18707, _18627, _18786], [1 ^ [], reverse_line(3 ^ []), reverse_line(2 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), reverse_line(1 ^ []))), unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])), -(unequally_directed_lines(2 ^ [], reverse_line(1 ^ [])))],extension(10,bind([[_18216, _18160, _18271], [reverse_line(3 ^ []), 2 ^ [], reverse_line(1 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.1.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(3 ^ []))), unequally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(4,bind([[_11785, _11832], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.1.1',plain,[-(unequally_directed_opposite_lines(2 ^ [], 3 ^ [])), -(equally_directed_opposite_lines(2 ^ [], 3 ^ []))],extension(8,bind([[_13105, _13152], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.1.1.1',plain,[equally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(3)).
% 10.32/10.71 cnf('1.2.1.1.2',plain,[unequally_directed_lines(2 ^ [], reverse_line(1 ^ [])), unequally_directed_lines(2 ^ [], 1 ^ []), -(unequally_directed_lines(2 ^ [], 2 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])))],extension(12,bind([[_18627, _18707, _18786], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.2.1',plain,[-(unequally_directed_lines(2 ^ [], 1 ^ [])), unequally_directed_lines(1 ^ [], 2 ^ []), -(unequally_directed_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_18216, _18160, _18271], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.2.1.1',plain,[-(unequally_directed_lines(1 ^ [], 2 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])))],extension(13,bind([[_19436, _19483], [1 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.2.1.1.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],reduction('1.2')).
% 10.32/10.71 cnf('1.2.1.1.2.1.2',plain,[unequally_directed_lines(1 ^ [], 1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])))],extension(10,bind([[_18160, _18216, _18271], [1 ^ [], 1 ^ [], reverse_line(2 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.1.2.1.2.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],reduction('1.2')).
% 10.32/10.71 cnf('1.2.1.1.2.1.2.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],lemmata('1.2.1.1.2.1.2')).
% 10.32/10.71 cnf('1.2.1.1.2.2',plain,[unequally_directed_lines(2 ^ [], 2 ^ []), equally_directed_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_12775, _12822], [2 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.2.2.1',plain,[-(equally_directed_lines(2 ^ [], 2 ^ []))],extension(9,bind([[_17986], [2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.1.2.3',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],reduction('1.2')).
% 10.32/10.71 cnf('1.2.1.2',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), 1 ^ [])), left_convergent_lines(2 ^ [], reverse_line(3 ^ [])), -(left_convergent_lines(2 ^ [], 1 ^ []))],extension(16,bind([[_27962, _27906, _28017], [reverse_line(3 ^ []), 2 ^ [], 1 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1',plain,[-(left_convergent_lines(2 ^ [], reverse_line(3 ^ []))), unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])), unequally_directed_lines(2 ^ [], 3 ^ []), -(left_convergent_lines(2 ^ [], 3 ^ []))],extension(14,bind([[_19766, _19827], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(3 ^ []))), unequally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(4,bind([[_11785, _11832], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.1.1',plain,[-(unequally_directed_opposite_lines(2 ^ [], 3 ^ [])), -(equally_directed_opposite_lines(2 ^ [], 3 ^ []))],extension(8,bind([[_13105, _13152], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.1.1.1',plain,[equally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(3)).
% 10.32/10.71 cnf('1.2.1.2.1.2',plain,[-(unequally_directed_lines(2 ^ [], 3 ^ [])), unequally_directed_lines(1 ^ [], 2 ^ []), -(unequally_directed_lines(1 ^ [], 3 ^ []))],extension(10,bind([[_18216, _18160, _18271], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.2.1',plain,[-(unequally_directed_lines(1 ^ [], 2 ^ [])), -(unequally_directed_lines(1 ^ [], reverse_line(2 ^ [])))],extension(13,bind([[_19436, _19483], [1 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.2.1.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(2 ^ []))],reduction('1.2')).
% 10.32/10.71 cnf('1.2.1.2.1.2.2',plain,[unequally_directed_lines(1 ^ [], 3 ^ []), equally_directed_lines(1 ^ [], 3 ^ [])],extension(6,bind([[_12775, _12822], [1 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.1.2.2.1',plain,[-(equally_directed_lines(1 ^ [], 3 ^ []))],extension(2)).
% 10.32/10.71 cnf('1.2.1.2.1.3',plain,[left_convergent_lines(2 ^ [], 3 ^ [])],extension(15,bind([[_20638, _20687], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.2.2',plain,[left_convergent_lines(2 ^ [], 1 ^ [])],extension(15,bind([[_20638, _20687], [2 ^ [], 1 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3',plain,[unequally_directed_lines(reverse_line(3 ^ []), reverse_line(2 ^ [])), unequally_directed_lines(reverse_line(3 ^ []), 2 ^ []), -(unequally_directed_lines(reverse_line(3 ^ []), reverse_line(3 ^ []))), -(unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])))],extension(11,bind([[_18627, _18707, _18786], [reverse_line(3 ^ []), 2 ^ [], reverse_line(3 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.3.1',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), 2 ^ [])), unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])), -(unequally_directed_lines(2 ^ [], 2 ^ []))],extension(10,bind([[_18216, _18160, _18271], [reverse_line(3 ^ []), 2 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.1.1',plain,[-(unequally_directed_lines(2 ^ [], reverse_line(3 ^ []))), unequally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(4,bind([[_11785, _11832], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.1.1.1',plain,[-(unequally_directed_opposite_lines(2 ^ [], 3 ^ [])), -(equally_directed_opposite_lines(2 ^ [], 3 ^ []))],extension(8,bind([[_13105, _13152], [2 ^ [], 3 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.1.1.1.1',plain,[equally_directed_opposite_lines(2 ^ [], 3 ^ [])],extension(3)).
% 10.32/10.71 cnf('1.2.1.3.1.2',plain,[unequally_directed_lines(2 ^ [], 2 ^ []), equally_directed_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_12775, _12822], [2 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.1.2.1',plain,[-(equally_directed_lines(2 ^ [], 2 ^ []))],extension(9,bind([[_17986], [2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.2',plain,[unequally_directed_lines(reverse_line(3 ^ []), reverse_line(3 ^ [])), equally_directed_lines(reverse_line(3 ^ []), reverse_line(3 ^ []))],extension(6,bind([[_12775, _12822], [reverse_line(3 ^ []), reverse_line(3 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.3.2.1',plain,[-(equally_directed_lines(reverse_line(3 ^ []), reverse_line(3 ^ [])))],extension(9,bind([[_17986], [reverse_line(3 ^ [])]]))).
% 10.32/10.71 cnf('1.2.1.3.3',plain,[unequally_directed_lines(2 ^ [], reverse_line(3 ^ [])), -(unequally_directed_lines(2 ^ [], 2 ^ [])), -(unequally_directed_lines(reverse_line(3 ^ []), 2 ^ []))],extension(10,bind([[_18160, _18216, _18271], [2 ^ [], reverse_line(3 ^ []), 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.3.1',plain,[unequally_directed_lines(2 ^ [], 2 ^ []), equally_directed_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_12775, _12822], [2 ^ [], 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.3.1.1',plain,[-(equally_directed_lines(2 ^ [], 2 ^ []))],extension(9,bind([[_17986], [2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.3.2',plain,[unequally_directed_lines(reverse_line(3 ^ []), 2 ^ []), unequally_directed_lines(reverse_line(3 ^ []), reverse_line(2 ^ [])), -(left_convergent_lines(reverse_line(3 ^ []), 2 ^ [])), -(left_convergent_lines(reverse_line(3 ^ []), reverse_line(2 ^ [])))],extension(14,bind([[_19766, _19827], [reverse_line(3 ^ []), 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.3.2.1',plain,[-(unequally_directed_lines(reverse_line(3 ^ []), reverse_line(2 ^ [])))],reduction('1.2.1')).
% 10.32/10.71 cnf('1.2.1.3.3.2.2',plain,[left_convergent_lines(reverse_line(3 ^ []), 2 ^ [])],extension(15,bind([[_20638, _20687], [reverse_line(3 ^ []), 2 ^ []]]))).
% 10.32/10.71 cnf('1.2.1.3.3.2.3',plain,[left_convergent_lines(reverse_line(3 ^ []), reverse_line(2 ^ []))],extension(15,bind([[_20638, _20687], [reverse_line(3 ^ []), reverse_line(2 ^ [])]]))).
% 10.32/10.71 %-----------------------------------------------------
% 10.32/10.72
% 10.32/10.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------