TSTP Solution File: GEO219+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 0.48s 1.43s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 09:50:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.48/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.45
% 0.48/1.45 %-----------------------------------------------------
% 0.48/1.45 fof(con, conjecture, ! [_39187, _39190, _39193] : (orthogonal_lines(_39187, _39190) & parallel_lines(_39187, _39193) => orthogonal_lines(_39190, _39193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.48/1.45 fof(ax6, axiom, ! [_39399, _39402, _39405] : (convergent_lines(_39399, _39402) => convergent_lines(_39399, _39405) | convergent_lines(_39402, _39405)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.48/1.45 fof(occu1, axiom, ! [_39596, _39599] : (convergent_lines(_39596, _39599) | unorthogonal_lines(_39596, _39599)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 0.48/1.45 fof(cotno1, axiom, ! [_39753, _39756, _39759] : ((~ convergent_lines(_39753, _39756) | ~ unorthogonal_lines(_39753, _39756)) & (~ convergent_lines(_39753, _39759) | ~ unorthogonal_lines(_39753, _39759)) => ~ convergent_lines(_39756, _39759) | ~ unorthogonal_lines(_39756, _39759)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 0.48/1.45 fof(a3, axiom, ! [_40073, _40076] : (parallel_lines(_40073, _40076) <=> ~ convergent_lines(_40073, _40076)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.48/1.45 fof(a5, axiom, ! [_40229, _40232] : (orthogonal_lines(_40229, _40232) <=> ~ unorthogonal_lines(_40229, _40232)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a5)).
% 0.48/1.45
% 0.48/1.45 cnf(1, plain, [-(orthogonal_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.48/1.45 cnf(2, plain, [-(parallel_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.48/1.45 cnf(3, plain, [orthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.48/1.45 cnf(4, plain, [convergent_lines(_13785, _13841), -(convergent_lines(_13785, _13896)), -(convergent_lines(_13841, _13896))], clausify(ax6)).
% 0.48/1.45 cnf(5, plain, [-(convergent_lines(_19654, _19699)), -(unorthogonal_lines(_19654, _19699))], clausify(occu1)).
% 0.48/1.45 cnf(6, plain, [-(convergent_lines(_22454, _22625)), -(unorthogonal_lines(_22454, _22540)), convergent_lines(_22540, _22625), unorthogonal_lines(_22540, _22625)], clausify(cotno1)).
% 0.48/1.45 cnf(7, plain, [parallel_lines(_26239, _26286), convergent_lines(_26239, _26286)], clausify(a3)).
% 0.48/1.45 cnf(8, plain, [orthogonal_lines(_26889, _26936), unorthogonal_lines(_26889, _26936)], clausify(a5)).
% 0.48/1.45 cnf(9, plain, [-(orthogonal_lines(_26889, _26936)), -(unorthogonal_lines(_26889, _26936))], clausify(a5)).
% 0.48/1.45
% 0.48/1.45 cnf('1',plain,[parallel_lines(1 ^ [], 3 ^ []), convergent_lines(1 ^ [], 3 ^ [])],start(7,bind([[_26239, _26286], [1 ^ [], 3 ^ []]]))).
% 0.48/1.45 cnf('1.1',plain,[-(parallel_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.48/1.45 cnf('1.2',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 3 ^ []))],extension(4,bind([[_13785, _13841, _13896], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.48/1.45 cnf('1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), -(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(5,bind([[_19654, _19699], [1 ^ [], 2 ^ []]]))).
% 0.48/1.45 cnf('1.2.1.1',plain,[unorthogonal_lines(1 ^ [], 2 ^ []), orthogonal_lines(1 ^ [], 2 ^ [])],extension(8,bind([[_26889, _26936], [1 ^ [], 2 ^ []]]))).
% 0.48/1.45 cnf('1.2.1.1.1',plain,[-(orthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.48/1.45 cnf('1.2.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(convergent_lines(1 ^ [], 3 ^ [])), -(unorthogonal_lines(1 ^ [], 2 ^ [])), unorthogonal_lines(2 ^ [], 3 ^ [])],extension(6,bind([[_22454, _22540, _22625], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.48/1.45 cnf('1.2.2.1',plain,[convergent_lines(1 ^ [], 3 ^ [])],reduction('1')).
% 0.48/1.45 cnf('1.2.2.2',plain,[unorthogonal_lines(1 ^ [], 2 ^ []), orthogonal_lines(1 ^ [], 2 ^ [])],extension(8,bind([[_26889, _26936], [1 ^ [], 2 ^ []]]))).
% 0.48/1.45 cnf('1.2.2.2.1',plain,[-(orthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.48/1.45 cnf('1.2.2.3',plain,[-(unorthogonal_lines(2 ^ [], 3 ^ [])), -(orthogonal_lines(2 ^ [], 3 ^ []))],extension(9,bind([[_26889, _26936], [2 ^ [], 3 ^ []]]))).
% 0.48/1.45 cnf('1.2.2.3.1',plain,[orthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 0.48/1.45 %-----------------------------------------------------
% 0.48/1.45
% 0.48/1.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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