TSTP Solution File: GEO192+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n010.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 0.43s 1.45s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : leancop_casc.sh %s %d
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Sat Jun 18 05:18:08 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 0.43/1.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.46  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.47  
% 0.47/1.47  %-----------------------------------------------------
% 0.47/1.47  fof(con, conjecture, ! [_18969, _18972, _18975] : (convergent_lines(_18969, _18972) => apart_point_and_line(intersection_point(_18969, _18972), _18975) => distinct_lines(_18969, _18975) & distinct_lines(_18972, _18975)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.47/1.47  fof(apart2, axiom, ! [_19221] : ~ distinct_lines(_19221, _19221), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.47/1.47  fof(apart5, axiom, ! [_19337, _19340, _19343] : (distinct_lines(_19337, _19340) => distinct_lines(_19337, _19343) | distinct_lines(_19340, _19343)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.47/1.47  fof(ci3, axiom, ! [_19525, _19528] : (convergent_lines(_19525, _19528) => ~ apart_point_and_line(intersection_point(_19525, _19528), _19525)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.47/1.47  fof(ci4, axiom, ! [_19694, _19697] : (convergent_lines(_19694, _19697) => ~ apart_point_and_line(intersection_point(_19694, _19697), _19697)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.47/1.47  fof(ceq2, axiom, ! [_19865, _19868, _19871] : (apart_point_and_line(_19865, _19868) => distinct_lines(_19868, _19871) | apart_point_and_line(_19865, _19871)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.47/1.47  
% 0.47/1.47  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.47/1.47  cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.47/1.47  cnf(3, plain, [distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.47/1.47  cnf(4, plain, [distinct_lines(_6355, _6355)], clausify(apart2)).
% 0.47/1.47  cnf(5, plain, [distinct_lines(_7206, _7262), -(distinct_lines(_7206, _7317)), -(distinct_lines(_7262, _7317))], clausify(apart5)).
% 0.47/1.47  cnf(6, plain, [convergent_lines(_8886, _8936), apart_point_and_line(intersection_point(_8886, _8936), _8886)], clausify(ci3)).
% 0.47/1.47  cnf(7, plain, [convergent_lines(_9259, _9309), apart_point_and_line(intersection_point(_9259, _9309), _9309)], clausify(ci4)).
% 0.47/1.47  cnf(8, plain, [apart_point_and_line(_10940, _10996), -(distinct_lines(_10996, _11051)), -(apart_point_and_line(_10940, _11051))], clausify(ceq2)).
% 0.47/1.47  
% 0.47/1.47  cnf('1',plain,[distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])],start(3)).
% 0.47/1.47  cnf('1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 1 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_7262, _7206, _7317], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.47/1.47  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(8,bind([[_10996, _10940, _11051], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.47/1.47  cnf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.47/1.47  cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_8886, _8936], [1 ^ [], 2 ^ []]]))).
% 0.47/1.47  cnf('1.1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.47/1.47  cnf('1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_6355], [3 ^ []]]))).
% 0.47/1.47  cnf('1.2',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_7262, _7206, _7317], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.47/1.47  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(8,bind([[_10996, _10940, _11051], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.47/1.47  cnf('1.2.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.47/1.47  cnf('1.2.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_9259, _9309], [1 ^ [], 2 ^ []]]))).
% 0.47/1.47  cnf('1.2.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.47/1.47  cnf('1.2.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_6355], [3 ^ []]]))).
% 0.47/1.47  %-----------------------------------------------------
% 0.47/1.47  
% 0.47/1.48  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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