TSTP Solution File: GEO192+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 0.26s 1.33s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08  % Problem  : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.08  % Command  : leancop_casc.sh %s %d
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Sat Jun 18 18:16:32 EDT 2022
% 0.06/0.27  % CPUTime  : 
% 0.26/1.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.33  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.34  
% 0.26/1.34  %-----------------------------------------------------
% 0.26/1.34  fof(con, conjecture, ! [_39744, _39747, _39750] : (convergent_lines(_39744, _39747) => apart_point_and_line(intersection_point(_39744, _39747), _39750) => distinct_lines(_39744, _39750) & distinct_lines(_39747, _39750)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.26/1.34  fof(apart2, axiom, ! [_39996] : ~ distinct_lines(_39996, _39996), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.26/1.34  fof(apart5, axiom, ! [_40112, _40115, _40118] : (distinct_lines(_40112, _40115) => distinct_lines(_40112, _40118) | distinct_lines(_40115, _40118)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.26/1.34  fof(ci3, axiom, ! [_40300, _40303] : (convergent_lines(_40300, _40303) => ~ apart_point_and_line(intersection_point(_40300, _40303), _40300)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.26/1.34  fof(ci4, axiom, ! [_40469, _40472] : (convergent_lines(_40469, _40472) => ~ apart_point_and_line(intersection_point(_40469, _40472), _40472)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.26/1.34  fof(ceq2, axiom, ! [_40640, _40643, _40646] : (apart_point_and_line(_40640, _40643) => distinct_lines(_40643, _40646) | apart_point_and_line(_40640, _40646)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.26/1.34  
% 0.26/1.34  cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.26/1.34  cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.26/1.34  cnf(3, plain, [distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.26/1.34  cnf(4, plain, [distinct_lines(_12467, _12467)], clausify(apart2)).
% 0.26/1.34  cnf(5, plain, [distinct_lines(_13318, _13374), -(distinct_lines(_13318, _13429)), -(distinct_lines(_13374, _13429))], clausify(apart5)).
% 0.26/1.34  cnf(6, plain, [convergent_lines(_14998, _15048), apart_point_and_line(intersection_point(_14998, _15048), _14998)], clausify(ci3)).
% 0.26/1.34  cnf(7, plain, [convergent_lines(_15371, _15421), apart_point_and_line(intersection_point(_15371, _15421), _15421)], clausify(ci4)).
% 0.26/1.34  cnf(8, plain, [apart_point_and_line(_17052, _17108), -(distinct_lines(_17108, _17163)), -(apart_point_and_line(_17052, _17163))], clausify(ceq2)).
% 0.26/1.34  
% 0.26/1.34  cnf('1',plain,[distinct_lines(1 ^ [], 3 ^ []), distinct_lines(2 ^ [], 3 ^ [])],start(3)).
% 0.26/1.34  cnf('1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 1 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_13374, _13318, _13429], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.26/1.34  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([[_17108, _17052, _17163], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.26/1.34  cnf('1.1.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.26/1.34  cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_14998, _15048], [1 ^ [], 2 ^ []]]))).
% 0.26/1.34  cnf('1.1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.26/1.34  cnf('1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12467], [3 ^ []]]))).
% 0.26/1.34  cnf('1.2',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(5,bind([[_13374, _13318, _13429], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.26/1.34  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([[_17108, _17052, _17163], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.26/1.34  cnf('1.2.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.26/1.34  cnf('1.2.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15371, _15421], [1 ^ [], 2 ^ []]]))).
% 0.26/1.34  cnf('1.2.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.26/1.34  cnf('1.2.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(4,bind([[_12467], [3 ^ []]]))).
% 0.26/1.34  %-----------------------------------------------------
% 0.26/1.34  
% 0.26/1.35  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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