TSTP Solution File: GEO222+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 05:03:54 EDT 2022
% Result : Theorem 6.09s 6.56s
% Output : Proof 6.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 10:51:16 EDT 2022
% 0.11/0.33 % CPUTime :
% 6.09/6.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/6.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/6.57
% 6.09/6.57 %-----------------------------------------------------
% 6.09/6.57 fof(con, conjecture, ! [_44590, _44593] : parallel_lines(_44593, orthogonal_through_point(orthogonal_through_point(_44593, _44590), _44590)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 6.09/6.57 fof(apart3, axiom, ! [_44742] : ~ convergent_lines(_44742, _44742), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 6.09/6.57 fof(ax6, axiom, ! [_44858, _44861, _44864] : (convergent_lines(_44858, _44861) => convergent_lines(_44858, _44864) | convergent_lines(_44861, _44864)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 6.09/6.57 fof(occu1, axiom, ! [_45055, _45058] : (convergent_lines(_45055, _45058) | unorthogonal_lines(_45055, _45058)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 6.09/6.57 fof(oac1, axiom, ! [_45202, _45205, _45208] : (convergent_lines(_45202, _45205) & unorthogonal_lines(_45202, _45205) => convergent_lines(_45202, _45208) & unorthogonal_lines(_45202, _45208) | convergent_lines(_45205, _45208) & unorthogonal_lines(_45205, _45208)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', oac1)).
% 6.09/6.57 fof(ooc1, axiom, ! [_45473, _45476] : ~ unorthogonal_lines(orthogonal_through_point(_45476, _45473), _45476), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 6.09/6.57 fof(couo1, axiom, ! [_45617, _45620, _45623] : (~ unorthogonal_lines(_45617, _45620) & ~ unorthogonal_lines(_45617, _45623) => ~ convergent_lines(_45620, _45623)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', couo1)).
% 6.09/6.57 fof(cotno1, axiom, ! [_45823, _45826, _45829] : ((~ convergent_lines(_45823, _45826) | ~ unorthogonal_lines(_45823, _45826)) & (~ convergent_lines(_45823, _45829) | ~ unorthogonal_lines(_45823, _45829)) => ~ convergent_lines(_45826, _45829) | ~ unorthogonal_lines(_45826, _45829)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 6.09/6.57 fof(a3, axiom, ! [_46157, _46160] : (parallel_lines(_46157, _46160) <=> ~ convergent_lines(_46157, _46160)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a3)).
% 6.09/6.57
% 6.09/6.57 cnf(1, plain, [parallel_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))], clausify(con)).
% 6.09/6.57 cnf(2, plain, [convergent_lines(_12529, _12529)], clausify(apart3)).
% 6.09/6.57 cnf(3, plain, [convergent_lines(_13655, _13711), -(convergent_lines(_13655, _13766)), -(convergent_lines(_13711, _13766))], clausify(ax6)).
% 6.09/6.57 cnf(4, plain, [-(convergent_lines(_19524, _19569)), -(unorthogonal_lines(_19524, _19569))], clausify(occu1)).
% 6.09/6.57 cnf(5, plain, [unorthogonal_lines(_19834, _19908), convergent_lines(_19834, _19908), -(convergent_lines(_19834, _19981)), -(unorthogonal_lines(_19908, _19981))], clausify(oac1)).
% 6.09/6.57 cnf(6, plain, [unorthogonal_lines(orthogonal_through_point(_20621, _20577), _20621)], clausify(ooc1)).
% 6.09/6.57 cnf(7, plain, [convergent_lines(_23251, _23312), -(unorthogonal_lines(_23189, _23251)), -(unorthogonal_lines(_23189, _23312))], clausify(couo1)).
% 6.09/6.57 cnf(8, plain, [-(convergent_lines(_22324, _22495)), -(convergent_lines(_22324, _22410)), convergent_lines(_22410, _22495), unorthogonal_lines(_22410, _22495)], clausify(cotno1)).
% 6.09/6.57 cnf(9, plain, [-(unorthogonal_lines(_22324, _22495)), -(convergent_lines(_22324, _22410)), convergent_lines(_22410, _22495), unorthogonal_lines(_22410, _22495)], clausify(cotno1)).
% 6.09/6.57 cnf(10, plain, [-(parallel_lines(_26109, _26156)), -(convergent_lines(_26109, _26156))], clausify(a3)).
% 6.09/6.57
% 6.09/6.57 cnf('1',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])],start(6,bind([[_20577, _20621], [1 ^ [], 2 ^ []]]))).
% 6.09/6.57 cnf('1.1',plain,[-(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), 2 ^ [])), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(7,bind([[_23251, _23189, _23312], [2 ^ [], orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(3,bind([[_13655, _13711, _13766], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(3,bind([[_13655, _13711, _13766], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(3,bind([[_13655, _13711, _13766], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(parallel_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(10,bind([[_26109, _26156], [2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.1.1.1.1',plain,[parallel_lines(2 ^ [], orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(1)).
% 6.09/6.57 cnf('1.1.1.1.1.2',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.1.2',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.1.2',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2',plain,[unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_22324, _22410, _22495], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.1',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.2',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(3,bind([[_13655, _13711, _13766], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.2.1',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.2.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(5,bind([[_19834, _19908, _19981], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.2.2.1',plain,[-(unorthogonal_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],reduction('1.1')).
% 6.09/6.57 cnf('1.1.2.2.2.2',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.2.2.3',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(6,bind([[_20577, _20621], [1 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3',plain,[-(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])), unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_22324, _22410, _22495], [orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.1',plain,[convergent_lines(orthogonal_through_point(2 ^ [], 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],reduction('1.1.2')).
% 6.09/6.57 cnf('1.1.2.3.2',plain,[-(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])), unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(9,bind([[_22324, _22410, _22495], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.2.1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(6,bind([[_20577, _20621], [1 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.2.2',plain,[-(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), -(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(4,bind([[_19524, _19569], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.2.2.1',plain,[unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],extension(6,bind([[_20577, _20621], [1 ^ [], orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.2.3',plain,[-(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])))],extension(4,bind([[_19524, _19569], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.2.3.1',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(2 ^ [], 1 ^ []))],lemmata('1.1.2')).
% 6.09/6.57 cnf('1.1.2.3.3',plain,[-(unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))), -(convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])))],extension(4,bind([[_19524, _19569], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 cnf('1.1.2.3.3.1',plain,[convergent_lines(orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []), orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(2,bind([[_12529], [orthogonal_through_point(orthogonal_through_point(2 ^ [], 1 ^ []), 1 ^ [])]]))).
% 6.09/6.57 %-----------------------------------------------------
% 6.09/6.58
% 6.09/6.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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