TSTP Solution File: GEO205+2 by leanCoP---2.2

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO205+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n013.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 05:03:39 EDT 2022

% Result   : Theorem 3.04s 3.48s
% Output   : Proof 3.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO205+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 15:59:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.04/3.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/3.49  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/3.49  
% 3.04/3.49  %-----------------------------------------------------
% 3.04/3.49  fof(con, conjecture, ! [_26096, _26099, _26102] : (convergent_lines(_26096, _26099) & ~ distinct_lines(_26099, _26102) => convergent_lines(_26096, _26102) & ~ distinct_points(intersection_point(_26096, _26099), intersection_point(_26096, _26102))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 3.04/3.49  fof(apart1, axiom, ! [_26377] : ~ distinct_points(_26377, _26377), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 3.04/3.49  fof(apart2, axiom, ! [_26491] : ~ distinct_lines(_26491, _26491), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 3.04/3.49  fof(apart5, axiom, ! [_26607, _26610, _26613] : (distinct_lines(_26607, _26610) => distinct_lines(_26607, _26613) | distinct_lines(_26610, _26613)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 3.04/3.49  fof(apart6, axiom, ! [_26792, _26795, _26798] : (convergent_lines(_26792, _26795) => convergent_lines(_26792, _26798) | convergent_lines(_26795, _26798)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 3.04/3.49  fof(con2, axiom, ! [_26979, _26982, _26985] : (convergent_lines(_26979, _26982) => apart_point_and_line(_26985, _26979) | apart_point_and_line(_26985, _26982) => distinct_points(_26985, intersection_point(_26979, _26982))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 3.04/3.49  fof(cu1, axiom, ! [_27220, _27223, _27226, _27229] : (distinct_points(_27220, _27223) & distinct_lines(_27226, _27229) => apart_point_and_line(_27220, _27226) | apart_point_and_line(_27220, _27229) | apart_point_and_line(_27223, _27226) | apart_point_and_line(_27223, _27229)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 3.04/3.49  fof(ceq3, axiom, ! [_27501, _27504] : (convergent_lines(_27501, _27504) => distinct_lines(_27501, _27504)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 3.04/3.49  fof(ceq2, axiom, ! [_27647, _27650, _27653] : (apart_point_and_line(_27647, _27650) => distinct_lines(_27650, _27653) | apart_point_and_line(_27647, _27653)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 3.04/3.49  
% 3.04/3.49  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 3.04/3.49  cnf(2, plain, [distinct_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 3.04/3.49  cnf(3, plain, [convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))], clausify(con)).
% 3.04/3.49  cnf(4, plain, [distinct_points(_5905, _5905)], clausify(apart1)).
% 3.04/3.49  cnf(5, plain, [distinct_lines(_6097, _6097)], clausify(apart2)).
% 3.04/3.49  cnf(6, plain, [distinct_lines(_6948, _7004), -(distinct_lines(_6948, _7059)), -(distinct_lines(_7004, _7059))], clausify(apart5)).
% 3.04/3.49  cnf(7, plain, [convergent_lines(_7415, _7471), -(convergent_lines(_7415, _7526)), -(convergent_lines(_7471, _7526))], clausify(apart6)).
% 3.04/3.49  cnf(8, plain, [convergent_lines(_8487, _8552), apart_point_and_line(_8616, _8487), -(distinct_points(_8616, intersection_point(_8487, _8552)))], clausify(con2)).
% 3.04/3.49  cnf(9, plain, [convergent_lines(_8487, _8552), apart_point_and_line(_8616, _8552), -(distinct_points(_8616, intersection_point(_8487, _8552)))], clausify(con2)).
% 3.04/3.49  cnf(10, plain, [distinct_lines(_9249, _9326), distinct_points(_9092, _9171), -(apart_point_and_line(_9092, _9249)), -(apart_point_and_line(_9092, _9326)), -(apart_point_and_line(_9171, _9249)), -(apart_point_and_line(_9171, _9326))], clausify(cu1)).
% 3.04/3.49  cnf(11, plain, [convergent_lines(_10857, _10902), -(distinct_lines(_10857, _10902))], clausify(ceq3)).
% 3.04/3.49  cnf(12, plain, [apart_point_and_line(_10400, _10456), -(distinct_lines(_10456, _10511)), -(apart_point_and_line(_10400, _10511))], clausify(ceq2)).
% 3.04/3.49  
% 3.04/3.49  cnf('1',plain,[distinct_lines(2 ^ [], 3 ^ [])],start(2)).
% 3.04/3.49  cnf('1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 3 ^ []))],extension(6,bind([[_6948, _7004, _7059], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_6948, _7004, _7059], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_6948, _7004, _7059], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(1 ^ [], 1 ^ []))],extension(6,bind([[_7004, _6948, _7059], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(11,bind([[_10857, _10902], [1 ^ [], 2 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.1.1.1.2',plain,[distinct_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6097], [1 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.1.2',plain,[distinct_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6097], [1 ^ []]]))).
% 3.04/3.49  cnf('1.1.1.2',plain,[distinct_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6097], [1 ^ []]]))).
% 3.04/3.49  cnf('1.1.2',plain,[distinct_lines(1 ^ [], 3 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []))],extension(10,bind([[_9092, _9249, _9171, _9326], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], intersection_point(1 ^ [], 3 ^ []), 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), convergent_lines(1 ^ [], 3 ^ [])],extension(3)).
% 3.04/3.49  cnf('1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_7415, _7471, _7526], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.2.1.1.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(11,bind([[_10857, _10902], [2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.1.1.2.1',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 3.04/3.49  cnf('1.1.2.2',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(8,bind([[_8616, _8487, _8552], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.2.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5905], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 3.04/3.49  cnf('1.1.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(distinct_lines(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(12,bind([[_10456, _10400, _10511], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.3.1',plain,[distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(3 ^ [], 3 ^ [])), -(distinct_lines(2 ^ [], 3 ^ []))],extension(6,bind([[_6948, _7004, _7059], [3 ^ [], 2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.3.1.1',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(5,bind([[_6097], [3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.3.1.2',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 3.04/3.49  cnf('1.1.2.3.2',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(9,bind([[_8616, _8487, _8552], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.3.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.2.3.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5905], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 3.04/3.49  cnf('1.1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(8,bind([[_8616, _8487, _8552], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.4.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_7415, _7471, _7526], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.4.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.2.4.1.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(11,bind([[_10857, _10902], [2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.4.1.2.1',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 3.04/3.49  cnf('1.1.2.4.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(4,bind([[_5905], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 3.04/3.49  cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(9,bind([[_8616, _8487, _8552], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_7415, _7471, _7526], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.5.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 3.04/3.49  cnf('1.1.2.5.1.2',plain,[convergent_lines(2 ^ [], 3 ^ []), -(distinct_lines(2 ^ [], 3 ^ []))],extension(11,bind([[_10857, _10902], [2 ^ [], 3 ^ []]]))).
% 3.04/3.49  cnf('1.1.2.5.1.2.1',plain,[distinct_lines(2 ^ [], 3 ^ [])],extension(2)).
% 3.04/3.49  cnf('1.1.2.5.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(4,bind([[_5905], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 3.04/3.49  %-----------------------------------------------------
% 3.04/3.50  
% 3.04/3.50  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------