%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 05:03:43 EDT 2022
% Result : Theorem 0.30s 1.40s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.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 04:44:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.30/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.41
% 0.30/1.41 %-----------------------------------------------------
% 0.30/1.41 fof(con, conjecture, ! [_24221, _24224, _24227] : (~ apart_point_and_line(_24221, _24224) & ~ unorthogonal_lines(_24224, _24227) => ~ distinct_lines(_24224, orthogonal_through_point(_24227, _24221))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.30/1.41 fof(ooc1, axiom, ! [_24473, _24476] : ~ unorthogonal_lines(orthogonal_through_point(_24476, _24473), _24476), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 0.30/1.41 fof(ooc2, axiom, ! [_24614, _24617] : ~ apart_point_and_line(_24614, orthogonal_through_point(_24617, _24614)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 0.30/1.41 fof(ouo1, axiom, ! [_24755, _24758, _24761, _24764] : (distinct_lines(_24758, _24761) => apart_point_and_line(_24755, _24758) | apart_point_and_line(_24755, _24761) | unorthogonal_lines(_24758, _24764) | unorthogonal_lines(_24761, _24764)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.30/1.41
% 0.30/1.41 cnf(1, plain, [apart_point_and_line(1 ^ [], 2 ^ [])], clausify(con)).
% 0.30/1.41 cnf(2, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.30/1.41 cnf(3, plain, [-(distinct_lines(2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ [])))], clausify(con)).
% 0.30/1.41 cnf(4, plain, [unorthogonal_lines(orthogonal_through_point(_15860, _15816), _15860)], clausify(ooc1)).
% 0.30/1.41 cnf(5, plain, [apart_point_and_line(_16103, orthogonal_through_point(_16147, _16103))], clausify(ooc2)).
% 0.30/1.41 cnf(6, plain, [distinct_lines(_16453, _16525), -(apart_point_and_line(_16380, _16453)), -(apart_point_and_line(_16380, _16525)), -(unorthogonal_lines(_16453, _16596)), -(unorthogonal_lines(_16525, _16596))], clausify(ouo1)).
% 0.30/1.41
% 0.30/1.41 cnf('1',plain,[apart_point_and_line(1 ^ [], 2 ^ [])],start(1)).
% 0.30/1.41 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], 2 ^ [])), distinct_lines(2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ [])), -(apart_point_and_line(1 ^ [], orthogonal_through_point(3 ^ [], 1 ^ []))), -(unorthogonal_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ []))],extension(6,bind([[_16380, _16453, _16525, _16596], [1 ^ [], 2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.30/1.41 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ [])))],extension(3)).
% 0.30/1.41 cnf('1.1.2',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(3 ^ [], 1 ^ []))],extension(5,bind([[_16147, _16103], [3 ^ [], 1 ^ []]]))).
% 0.30/1.41 cnf('1.1.3',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.30/1.41 cnf('1.1.4',plain,[unorthogonal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ [])],extension(4,bind([[_15816, _15860], [1 ^ [], 3 ^ []]]))).
% 0.30/1.41 %-----------------------------------------------------
% 0.30/1.42
% 0.30/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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