TSTP Solution File: GEO221+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 05:03:53 EDT 2022
% Result : Theorem 0.38s 1.45s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 18:39:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.38/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.46
% 0.43/1.46 %-----------------------------------------------------
% 0.43/1.46 fof(con, conjecture, ! [_39451, _39454, _39457] : (incident_point_and_line(_39454, orthogonal_through_point(_39457, _39451)) => equal_lines(orthogonal_through_point(_39457, _39451), orthogonal_through_point(_39457, _39454))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.43/1.46 fof(ci3, axiom, ! [_39664, _39667] : (convergent_lines(_39664, _39667) => ~ apart_point_and_line(intersection_point(_39664, _39667), _39664)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.43/1.46 fof(ci4, axiom, ! [_39833, _39836] : (convergent_lines(_39833, _39836) => ~ apart_point_and_line(intersection_point(_39833, _39836), _39836)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.43/1.46 fof(p1, axiom, ! [_40006, _40009] : (distinct_lines(_40006, _40009) => convergent_lines(_40006, _40009)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.43/1.46 fof(ooc1, axiom, ! [_40160, _40163] : ~ unorthogonal_lines(orthogonal_through_point(_40163, _40160), _40163), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 0.43/1.46 fof(ouo1, axiom, ! [_40302, _40305, _40308, _40311] : (distinct_lines(_40305, _40308) => apart_point_and_line(_40302, _40305) | apart_point_and_line(_40302, _40308) | unorthogonal_lines(_40305, _40311) | unorthogonal_lines(_40308, _40311)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.43/1.46 fof(ax2, axiom, ! [_40567, _40570] : (equal_lines(_40567, _40570) <=> ~ distinct_lines(_40567, _40570)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.43/1.46
% 0.43/1.46 cnf(1, plain, [equal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))], clausify(con)).
% 0.43/1.46 cnf(2, plain, [convergent_lines(_15006, _15056), apart_point_and_line(intersection_point(_15006, _15056), _15006)], clausify(ci3)).
% 0.43/1.46 cnf(3, plain, [convergent_lines(_15379, _15429), apart_point_and_line(intersection_point(_15379, _15429), _15429)], clausify(ci4)).
% 0.43/1.46 cnf(4, plain, [distinct_lines(_18179, _18224), -(convergent_lines(_18179, _18224))], clausify(p1)).
% 0.43/1.46 cnf(5, plain, [unorthogonal_lines(orthogonal_through_point(_20759, _20715), _20759)], clausify(ooc1)).
% 0.43/1.46 cnf(6, plain, [distinct_lines(_21352, _21424), -(apart_point_and_line(_21279, _21352)), -(apart_point_and_line(_21279, _21424)), -(unorthogonal_lines(_21352, _21495)), -(unorthogonal_lines(_21424, _21495))], clausify(ouo1)).
% 0.43/1.46 cnf(7, plain, [-(equal_lines(_25917, _25964)), -(distinct_lines(_25917, _25964))], clausify(ax2)).
% 0.43/1.46
% 0.43/1.46 cnf('1',plain,[convergent_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), apart_point_and_line(intersection_point(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), orthogonal_through_point(3 ^ [], 1 ^ []))],start(2,bind([[_15056, _15006], [orthogonal_through_point(3 ^ [], 2 ^ []), orthogonal_through_point(3 ^ [], 1 ^ [])]]))).
% 0.43/1.46 cnf('1.1',plain,[-(convergent_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))), distinct_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))],extension(4,bind([[_18179, _18224], [orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])]]))).
% 0.43/1.46 cnf('1.1.1',plain,[-(distinct_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))), -(equal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])))],extension(7,bind([[_25917, _25964], [orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])]]))).
% 0.43/1.46 cnf('1.1.1.1',plain,[equal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))],extension(1)).
% 0.43/1.46 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), orthogonal_through_point(3 ^ [], 1 ^ []))), distinct_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), orthogonal_through_point(3 ^ [], 2 ^ []))), -(unorthogonal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ [])), -(unorthogonal_lines(orthogonal_through_point(3 ^ [], 2 ^ []), 3 ^ []))],extension(6,bind([[_21279, _21352, _21424, _21495], [intersection_point(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.43/1.46 cnf('1.2.1',plain,[-(distinct_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))), -(equal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])))],extension(7,bind([[_25917, _25964], [orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])]]))).
% 0.43/1.46 cnf('1.2.1.1',plain,[equal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))],extension(1)).
% 0.43/1.46 cnf('1.2.2',plain,[apart_point_and_line(intersection_point(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])), orthogonal_through_point(3 ^ [], 2 ^ [])), convergent_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ []))],extension(3,bind([[_15379, _15429], [orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])]]))).
% 0.43/1.46 cnf('1.2.2.1',plain,[-(convergent_lines(orthogonal_through_point(3 ^ [], 1 ^ []), orthogonal_through_point(3 ^ [], 2 ^ [])))],lemmata('1')).
% 0.43/1.46 cnf('1.2.3',plain,[unorthogonal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ [])],extension(5,bind([[_20715, _20759], [1 ^ [], 3 ^ []]]))).
% 0.43/1.46 cnf('1.2.4',plain,[unorthogonal_lines(orthogonal_through_point(3 ^ [], 2 ^ []), 3 ^ [])],extension(5,bind([[_20715, _20759], [2 ^ [], 3 ^ []]]))).
% 0.43/1.46 %-----------------------------------------------------
% 0.43/1.47
% 0.43/1.47 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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