TSTP Solution File: GEO184+3 by leanCoP---2.2

View Problem - Process Solution

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% File     : leanCoP---2.2
% Problem  : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n023.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 05:03:21 EDT 2022

% Result   : Theorem 0.37s 1.39s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n023.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 : Sat Jun 18 15:46:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.37/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41  
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  fof(con, conjecture, ! [_39884, _39887, _39890, _39893] : (distinct_points(_39884, _39887) & convergent_lines(_39890, _39893) & incident_point_and_line(_39884, _39890) & incident_point_and_line(_39887, _39890) => equal_lines(_39890, line_connecting(_39884, _39887))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.37/1.41  fof(ci1, axiom, ! [_40192, _40195] : (distinct_points(_40192, _40195) => ~ apart_point_and_line(_40192, line_connecting(_40192, _40195))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.37/1.41  fof(ci2, axiom, ! [_40361, _40364] : (distinct_points(_40361, _40364) => ~ apart_point_and_line(_40364, line_connecting(_40361, _40364))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.37/1.41  fof(cu1, axiom, ! [_40532, _40535, _40538, _40541] : (distinct_points(_40532, _40535) & distinct_lines(_40538, _40541) => apart_point_and_line(_40532, _40538) | apart_point_and_line(_40532, _40541) | apart_point_and_line(_40535, _40538) | apart_point_and_line(_40535, _40541)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.37/1.41  fof(ax2, axiom, ! [_40840, _40843] : (equal_lines(_40840, _40843) <=> ~ distinct_lines(_40840, _40843)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.37/1.41  fof(a4, axiom, ! [_40995, _40998] : (incident_point_and_line(_40995, _40998) <=> ~ apart_point_and_line(_40995, _40998)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.37/1.41  
% 0.37/1.41  cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.41  cnf(2, plain, [-(incident_point_and_line(1 ^ [], 3 ^ []))], clausify(con)).
% 0.37/1.41  cnf(3, plain, [-(incident_point_and_line(2 ^ [], 3 ^ []))], clausify(con)).
% 0.37/1.41  cnf(4, plain, [equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.41  cnf(5, plain, [distinct_points(_14374, _14424), apart_point_and_line(_14374, line_connecting(_14374, _14424))], clausify(ci1)).
% 0.37/1.41  cnf(6, plain, [distinct_points(_14747, _14797), apart_point_and_line(_14797, line_connecting(_14747, _14797))], clausify(ci2)).
% 0.37/1.41  cnf(7, plain, [distinct_lines(_16023, _16100), distinct_points(_15866, _15945), -(apart_point_and_line(_15866, _16023)), -(apart_point_and_line(_15866, _16100)), -(apart_point_and_line(_15945, _16023)), -(apart_point_and_line(_15945, _16100))], clausify(cu1)).
% 0.37/1.41  cnf(8, plain, [-(equal_lines(_26031, _26078)), -(distinct_lines(_26031, _26078))], clausify(ax2)).
% 0.37/1.41  cnf(9, plain, [incident_point_and_line(_26691, _26738), apart_point_and_line(_26691, _26738)], clausify(a4)).
% 0.37/1.41  
% 0.37/1.41  cnf('1',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(5,bind([[_14374, _14424], [1 ^ [], 2 ^ []]]))).
% 0.37/1.41  cnf('1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.41  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([[_15866, _16023, _15945, _16100], [1 ^ [], 3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.37/1.41  cnf('1.2.1',plain,[-(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_26031, _26078], [3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.37/1.41  cnf('1.2.1.1',plain,[equal_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(4)).
% 0.37/1.41  cnf('1.2.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.41  cnf('1.2.3',plain,[apart_point_and_line(1 ^ [], 3 ^ []), incident_point_and_line(1 ^ [], 3 ^ [])],extension(9,bind([[_26691, _26738], [1 ^ [], 3 ^ []]]))).
% 0.37/1.41  cnf('1.2.3.1',plain,[-(incident_point_and_line(1 ^ [], 3 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.2.4',plain,[apart_point_and_line(2 ^ [], 3 ^ []), incident_point_and_line(2 ^ [], 3 ^ [])],extension(9,bind([[_26691, _26738], [2 ^ [], 3 ^ []]]))).
% 0.37/1.41  cnf('1.2.4.1',plain,[-(incident_point_and_line(2 ^ [], 3 ^ []))],extension(3)).
% 0.37/1.41  cnf('1.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_14747, _14797], [1 ^ [], 2 ^ []]]))).
% 0.37/1.41  cnf('1.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  
% 0.37/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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