TSTP Solution File: GEO218+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 05:03:51 EDT 2022
% Result : Theorem 1.13s 1.38s
% Output : Proof 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 : Sat Jun 18 04:31:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.13/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.39
% 1.13/1.39 %-----------------------------------------------------
% 1.13/1.39 fof(con, conjecture, ! [_42272, _42275, _42278] : (parallel_lines(_42272, _42275) & orthogonal_lines(_42272, _42278) => orthogonal_lines(_42275, _42278)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.13/1.39 fof(apart3, axiom, ! [_42481] : ~ convergent_lines(_42481, _42481), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 1.13/1.39 fof(ax6, axiom, ! [_42597, _42600, _42603] : (convergent_lines(_42597, _42600) => convergent_lines(_42597, _42603) | convergent_lines(_42600, _42603)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 1.13/1.39 fof(occu1, axiom, ! [_42794, _42797] : (convergent_lines(_42794, _42797) | unorthogonal_lines(_42794, _42797)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 1.13/1.39 fof(oac1, axiom, ! [_42942, _42945, _42948] : (convergent_lines(_42942, _42945) & unorthogonal_lines(_42942, _42945) => convergent_lines(_42942, _42948) & unorthogonal_lines(_42942, _42948) | convergent_lines(_42945, _42948) & unorthogonal_lines(_42945, _42948)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', oac1)).
% 1.13/1.39 fof(cotno1, axiom, ! [_43219, _43222, _43225] : ((~ convergent_lines(_43219, _43222) | ~ unorthogonal_lines(_43219, _43222)) & (~ convergent_lines(_43219, _43225) | ~ unorthogonal_lines(_43219, _43225)) => ~ convergent_lines(_43222, _43225) | ~ unorthogonal_lines(_43222, _43225)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 1.13/1.39 fof(a3, axiom, ! [_43539, _43542] : (parallel_lines(_43539, _43542) <=> ~ convergent_lines(_43539, _43542)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a3)).
% 1.13/1.39 fof(a5, axiom, ! [_43695, _43698] : (orthogonal_lines(_43695, _43698) <=> ~ unorthogonal_lines(_43695, _43698)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a5)).
% 1.13/1.39
% 1.13/1.39 cnf(1, plain, [-(parallel_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 1.13/1.39 cnf(2, plain, [-(orthogonal_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 1.13/1.39 cnf(3, plain, [orthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 1.13/1.39 cnf(4, plain, [convergent_lines(_12603, _12603)], clausify(apart3)).
% 1.13/1.39 cnf(5, plain, [convergent_lines(_13729, _13785), -(convergent_lines(_13729, _13840)), -(convergent_lines(_13785, _13840))], clausify(ax6)).
% 1.13/1.39 cnf(6, plain, [-(convergent_lines(_19598, _19643)), -(unorthogonal_lines(_19598, _19643))], clausify(occu1)).
% 1.13/1.39 cnf(7, plain, [unorthogonal_lines(_19908, _19982), convergent_lines(_19908, _19982), -(unorthogonal_lines(_19908, _20055)), -(convergent_lines(_19982, _20055))], clausify(oac1)).
% 1.13/1.39 cnf(8, plain, [-(convergent_lines(_22398, _22569)), -(unorthogonal_lines(_22398, _22484)), convergent_lines(_22484, _22569), unorthogonal_lines(_22484, _22569)], clausify(cotno1)).
% 1.13/1.39 cnf(9, plain, [parallel_lines(_26183, _26230), convergent_lines(_26183, _26230)], clausify(a3)).
% 1.13/1.39 cnf(10, plain, [orthogonal_lines(_26833, _26880), unorthogonal_lines(_26833, _26880)], clausify(a5)).
% 1.13/1.39 cnf(11, plain, [-(orthogonal_lines(_26833, _26880)), -(unorthogonal_lines(_26833, _26880))], clausify(a5)).
% 1.13/1.39
% 1.13/1.39 cnf('1',plain,[parallel_lines(1 ^ [], 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],start(9,bind([[_26183, _26230], [1 ^ [], 2 ^ []]]))).
% 1.13/1.39 cnf('1.1',plain,[-(parallel_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.13/1.39 cnf('1.2',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(3 ^ [], 2 ^ []))],extension(5,bind([[_13729, _13785, _13840], [1 ^ [], 3 ^ [], 2 ^ []]]))).
% 1.13/1.39 cnf('1.2.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_13729, _13785, _13840], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), -(unorthogonal_lines(1 ^ [], 3 ^ []))],extension(6,bind([[_19598, _19643], [1 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.1.1.1',plain,[unorthogonal_lines(1 ^ [], 3 ^ []), orthogonal_lines(1 ^ [], 3 ^ [])],extension(10,bind([[_26833, _26880], [1 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.1.1.1.1',plain,[-(orthogonal_lines(1 ^ [], 3 ^ []))],extension(2)).
% 1.13/1.39 cnf('1.2.1.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12603], [3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2',plain,[convergent_lines(3 ^ [], 2 ^ []), unorthogonal_lines(3 ^ [], 2 ^ []), -(unorthogonal_lines(3 ^ [], 2 ^ [])), -(convergent_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_19908, _19982, _20055], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1',plain,[-(unorthogonal_lines(3 ^ [], 2 ^ [])), -(convergent_lines(3 ^ [], 3 ^ [])), convergent_lines(2 ^ [], 3 ^ []), unorthogonal_lines(2 ^ [], 3 ^ [])],extension(8,bind([[_22398, _22484, _22569], [3 ^ [], 2 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1.1',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12603], [3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1.2',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 2 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_13785, _13729, _13840], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1.2.1',plain,[-(convergent_lines(3 ^ [], 2 ^ []))],reduction('1.2')).
% 1.13/1.39 cnf('1.2.2.1.2.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12603], [3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1.3',plain,[-(unorthogonal_lines(2 ^ [], 3 ^ [])), -(orthogonal_lines(2 ^ [], 3 ^ []))],extension(11,bind([[_26833, _26880], [2 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.1.3.1',plain,[orthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.13/1.39 cnf('1.2.2.2',plain,[unorthogonal_lines(3 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 2 ^ [])), -(unorthogonal_lines(1 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 2 ^ [])],extension(8,bind([[_22398, _22484, _22569], [1 ^ [], 3 ^ [], 2 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.2.1',plain,[convergent_lines(1 ^ [], 2 ^ [])],reduction('1')).
% 1.13/1.39 cnf('1.2.2.2.2',plain,[unorthogonal_lines(1 ^ [], 3 ^ []), orthogonal_lines(1 ^ [], 3 ^ [])],extension(10,bind([[_26833, _26880], [1 ^ [], 3 ^ []]]))).
% 1.13/1.39 cnf('1.2.2.2.2.1',plain,[-(orthogonal_lines(1 ^ [], 3 ^ []))],extension(2)).
% 1.13/1.39 cnf('1.2.2.2.3',plain,[-(convergent_lines(3 ^ [], 2 ^ []))],reduction('1.2')).
% 1.13/1.39 cnf('1.2.2.3',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(4,bind([[_12603], [2 ^ []]]))).
% 1.13/1.39 %-----------------------------------------------------
% 1.13/1.40
% 1.13/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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