TSTP Solution File: GEO192+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO192+2 : 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 05:03:28 EDT 2022

% Result   : Theorem 1.04s 1.39s
% Output   : Proof 1.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n022.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 : Fri Jun 17 16:02:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.04/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.11/1.39  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.11/1.40  
% 1.11/1.40  %-----------------------------------------------------
% 1.11/1.40  fof(con, conjecture, ! [_18927, _18930, _18933] : (convergent_lines(_18927, _18930) => apart_point_and_line(intersection_point(_18927, _18930), _18933) => distinct_lines(_18927, _18933) & distinct_lines(_18930, _18933)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 1.11/1.40  fof(apart1, axiom, ! [_19178] : ~ distinct_points(_19178, _19178), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 1.11/1.40  fof(apart2, axiom, ! [_19292] : ~ distinct_lines(_19292, _19292), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 1.11/1.40  fof(apart5, axiom, ! [_19408, _19411, _19414] : (distinct_lines(_19408, _19411) => distinct_lines(_19408, _19414) | distinct_lines(_19411, _19414)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 1.11/1.40  fof(con2, axiom, ! [_19596, _19599, _19602] : (convergent_lines(_19596, _19599) => apart_point_and_line(_19602, _19596) | apart_point_and_line(_19602, _19599) => distinct_points(_19602, intersection_point(_19596, _19599))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 1.11/1.40  fof(ceq2, axiom, ! [_19840, _19843, _19846] : (apart_point_and_line(_19840, _19843) => distinct_lines(_19843, _19846) | apart_point_and_line(_19840, _19846)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 1.11/1.40  
% 1.11/1.40  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 1.11/1.40  cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 1.11/1.40  cnf(3, plain, [distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 1.11/1.40  cnf(4, plain, [distinct_points(_5893, _5893)], clausify(apart1)).
% 1.11/1.40  cnf(5, plain, [distinct_lines(_6085, _6085)], clausify(apart2)).
% 1.11/1.40  cnf(6, plain, [distinct_lines(_6936, _6992), -(distinct_lines(_6936, _7047)), -(distinct_lines(_6992, _7047))], clausify(apart5)).
% 1.11/1.40  cnf(7, plain, [convergent_lines(_8475, _8540), apart_point_and_line(_8604, _8475), -(distinct_points(_8604, intersection_point(_8475, _8540)))], clausify(con2)).
% 1.11/1.40  cnf(8, plain, [convergent_lines(_8475, _8540), apart_point_and_line(_8604, _8540), -(distinct_points(_8604, intersection_point(_8475, _8540)))], clausify(con2)).
% 1.11/1.40  cnf(9, plain, [apart_point_and_line(_10388, _10444), -(distinct_lines(_10444, _10499)), -(apart_point_and_line(_10388, _10499))], clausify(ceq2)).
% 1.11/1.40  
% 1.11/1.40  cnf('1',plain,[distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])],start(3)).
% 1.11/1.40  cnf('1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 1 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(6,bind([[_6992, _6936, _7047], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.11/1.40  cnf('1.1.1',plain,[-(distinct_lines(3 ^ [], 1 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(9,bind([[_10444, _10388, _10499], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 1.11/1.40  cnf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 1.11/1.40  cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(7,bind([[_8604, _8475, _8540], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 1.11/1.40  cnf('1.1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.11/1.40  cnf('1.1.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5893], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 1.11/1.40  cnf('1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(5,bind([[_6085], [3 ^ []]]))).
% 1.11/1.40  cnf('1.2',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(6,bind([[_6992, _6936, _7047], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.11/1.40  cnf('1.2.1',plain,[-(distinct_lines(3 ^ [], 2 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(9,bind([[_10444, _10388, _10499], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 1.11/1.40  cnf('1.2.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 1.11/1.40  cnf('1.2.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(8,bind([[_8604, _8475, _8540], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 1.11/1.40  cnf('1.2.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.11/1.40  cnf('1.2.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5893], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 1.11/1.40  cnf('1.2.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(5,bind([[_6085], [3 ^ []]]))).
% 1.11/1.40  %-----------------------------------------------------
% 1.11/1.40  
% 1.11/1.40  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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