TSTP Solution File: GEO170+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 05:03:10 EDT 2022

% Result   : Theorem 0.41s 1.45s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n029.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 15:54:59 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.41/1.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/1.47  
% 0.45/1.47  %-----------------------------------------------------
% 0.45/1.47  fof(con, conjecture, ! [_39498, _39501, _39504] : (distinct_points(_39498, _39501) & incident_point_and_line(_39498, _39504) & incident_point_and_line(_39501, _39504) => equal_lines(_39504, line_connecting(_39498, _39501))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.45/1.47  fof(ci1, axiom, ! [_39766, _39769] : (distinct_points(_39766, _39769) => ~ apart_point_and_line(_39766, line_connecting(_39766, _39769))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.45/1.47  fof(ci2, axiom, ! [_39935, _39938] : (distinct_points(_39935, _39938) => ~ apart_point_and_line(_39938, line_connecting(_39935, _39938))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.45/1.47  fof(cu1, axiom, ! [_40106, _40109, _40112, _40115] : (distinct_points(_40106, _40109) & distinct_lines(_40112, _40115) => apart_point_and_line(_40106, _40112) | apart_point_and_line(_40106, _40115) | apart_point_and_line(_40109, _40112) | apart_point_and_line(_40109, _40115)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.45/1.47  fof(ax2, axiom, ! [_40414, _40417] : (equal_lines(_40414, _40417) <=> ~ distinct_lines(_40414, _40417)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.45/1.47  fof(a4, axiom, ! [_40569, _40572] : (incident_point_and_line(_40569, _40572) <=> ~ apart_point_and_line(_40569, _40572)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.45/1.47  
% 0.45/1.47  cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.45/1.47  cnf(2, plain, [-(incident_point_and_line(1 ^ [], 3 ^ []))], clausify(con)).
% 0.45/1.47  cnf(3, plain, [-(incident_point_and_line(2 ^ [], 3 ^ []))], clausify(con)).
% 0.45/1.47  cnf(4, plain, [equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.45/1.47  cnf(5, plain, [distinct_points(_14308, _14358), apart_point_and_line(_14308, line_connecting(_14308, _14358))], clausify(ci1)).
% 0.45/1.47  cnf(6, plain, [distinct_points(_14681, _14731), apart_point_and_line(_14731, line_connecting(_14681, _14731))], clausify(ci2)).
% 0.45/1.47  cnf(7, plain, [distinct_lines(_15957, _16034), distinct_points(_15800, _15879), -(apart_point_and_line(_15800, _15957)), -(apart_point_and_line(_15800, _16034)), -(apart_point_and_line(_15879, _15957)), -(apart_point_and_line(_15879, _16034))], clausify(cu1)).
% 0.45/1.47  cnf(8, plain, [-(equal_lines(_25965, _26012)), -(distinct_lines(_25965, _26012))], clausify(ax2)).
% 0.45/1.47  cnf(9, plain, [incident_point_and_line(_26625, _26672), apart_point_and_line(_26625, _26672)], clausify(a4)).
% 0.45/1.47  
% 0.45/1.47  cnf('1',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(5,bind([[_14308, _14358], [1 ^ [], 2 ^ []]]))).
% 0.45/1.47  cnf('1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.45/1.47  cnf('1.2',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(7,bind([[_15800, _15957, _15879, _16034], [1 ^ [], 3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.45/1.47  cnf('1.2.1',plain,[-(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_25965, _26012], [3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.45/1.47  cnf('1.2.1.1',plain,[equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(4)).
% 0.45/1.47  cnf('1.2.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.45/1.47  cnf('1.2.3',plain,[apart_point_and_line(1 ^ [], 3 ^ []), incident_point_and_line(1 ^ [], 3 ^ [])],extension(9,bind([[_26625, _26672], [1 ^ [], 3 ^ []]]))).
% 0.45/1.47  cnf('1.2.3.1',plain,[-(incident_point_and_line(1 ^ [], 3 ^ []))],extension(2)).
% 0.45/1.47  cnf('1.2.4',plain,[apart_point_and_line(2 ^ [], 3 ^ []), incident_point_and_line(2 ^ [], 3 ^ [])],extension(9,bind([[_26625, _26672], [2 ^ [], 3 ^ []]]))).
% 0.45/1.47  cnf('1.2.4.1',plain,[-(incident_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.45/1.47  cnf('1.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_14681, _14731], [1 ^ [], 2 ^ []]]))).
% 0.45/1.47  cnf('1.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.45/1.47  %-----------------------------------------------------
% 0.45/1.48  
% 0.45/1.48  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------