TSTP Solution File: GEO210+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n022.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 0.32s 1.40s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n022.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 05:54:17 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.32/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  fof(con, conjecture, ! [_24925, _24928, _24931] : (~ apart_point_and_line(_24925, _24928) & ~ unorthogonal_lines(_24928, _24931) => ~ distinct_lines(_24928, orthogonal_through_point(_24931, _24925))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.32/1.41  fof(ooc1, axiom, ! [_25177, _25180] : ~ unorthogonal_lines(orthogonal_through_point(_25180, _25177), _25180), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 0.32/1.41  fof(ooc2, axiom, ! [_25318, _25321] : ~ apart_point_and_line(_25318, orthogonal_through_point(_25321, _25318)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 0.32/1.41  fof(ouo1, axiom, ! [_25459, _25462, _25465, _25468] : (distinct_lines(_25462, _25465) => apart_point_and_line(_25459, _25462) | apart_point_and_line(_25459, _25465) | unorthogonal_lines(_25462, _25468) | unorthogonal_lines(_25465, _25468)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [apart_point_and_line(1 ^ [], 2 ^ [])], clausify(con)).
% 0.32/1.41  cnf(2, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.32/1.41  cnf(3, plain, [-(distinct_lines(2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ [])))], clausify(con)).
% 0.32/1.41  cnf(4, plain, [unorthogonal_lines(orthogonal_through_point(_16591, _16547), _16591)], clausify(ooc1)).
% 0.32/1.41  cnf(5, plain, [apart_point_and_line(_16834, orthogonal_through_point(_16878, _16834))], clausify(ooc2)).
% 0.32/1.41  cnf(6, plain, [distinct_lines(_17184, _17256), -(apart_point_and_line(_17111, _17184)), -(apart_point_and_line(_17111, _17256)), -(unorthogonal_lines(_17184, _17327)), -(unorthogonal_lines(_17256, _17327))], clausify(ouo1)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[apart_point_and_line(1 ^ [], 2 ^ [])],start(1)).
% 0.32/1.41  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([[_17111, _17184, _17256, _17327], [1 ^ [], 2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], orthogonal_through_point(3 ^ [], 1 ^ [])))],extension(3)).
% 0.32/1.41  cnf('1.1.2',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(3 ^ [], 1 ^ []))],extension(5,bind([[_16878, _16834], [3 ^ [], 1 ^ []]]))).
% 0.32/1.41  cnf('1.1.3',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.32/1.41  cnf('1.1.4',plain,[unorthogonal_lines(orthogonal_through_point(3 ^ [], 1 ^ []), 3 ^ [])],extension(4,bind([[_16547, _16591], [1 ^ [], 3 ^ []]]))).
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.42  
% 0.32/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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