TSTP Solution File: GEO224+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 05:03:56 EDT 2022

% Result   : Theorem 0.48s 1.40s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n016.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 : Fri Jun 17 15:46:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.48/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/1.41  
% 0.48/1.41  %-----------------------------------------------------
% 0.48/1.41  fof(con, conjecture, ! [_38744, _38747] : (point(_38744) & line(_38747) => ? [_38769] : (point(_38769) & incident_point_and_line(_38769, _38747))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.48/1.41  fof(apart2, axiom, ! [_38968] : ~ distinct_lines(_38968, _38968), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.48/1.41  fof(apart5, axiom, ! [_39084, _39087, _39090] : (distinct_lines(_39084, _39087) => distinct_lines(_39084, _39090) | distinct_lines(_39087, _39090)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.48/1.41  fof(ceq2, axiom, ! [_39276, _39279, _39282] : (apart_point_and_line(_39276, _39279) => distinct_lines(_39279, _39282) | apart_point_and_line(_39276, _39282)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.48/1.41  fof(p1, axiom, ! [_39462, _39465] : (distinct_lines(_39462, _39465) => convergent_lines(_39462, _39465)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.48/1.41  fof(cp1, axiom, ! [_39608, _39611] : ~ convergent_lines(parallel_through_point(_39611, _39608), _39611), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.48/1.41  fof(cp2, axiom, ! [_39749, _39752] : ~ apart_point_and_line(_39749, parallel_through_point(_39752, _39749)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.48/1.41  fof(a4, axiom, ! [_39916, _39919] : (incident_point_and_line(_39916, _39919) <=> ~ apart_point_and_line(_39916, _39919)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.48/1.41  
% 0.48/1.41  cnf(1, plain, [-(point(1 ^ []))], clausify(con)).
% 0.48/1.41  cnf(2, plain, [point(_32084), incident_point_and_line(_32084, 2 ^ [])], clausify(con)).
% 0.48/1.41  cnf(3, plain, [distinct_lines(_12500, _12500)], clausify(apart2)).
% 0.48/1.41  cnf(4, plain, [distinct_lines(_13351, _13407), -(distinct_lines(_13351, _13462)), -(distinct_lines(_13407, _13462))], clausify(apart5)).
% 0.48/1.41  cnf(5, plain, [apart_point_and_line(_17085, _17141), -(distinct_lines(_17141, _17196)), -(apart_point_and_line(_17085, _17196))], clausify(ceq2)).
% 0.48/1.41  cnf(6, plain, [distinct_lines(_18204, _18249), -(convergent_lines(_18204, _18249))], clausify(p1)).
% 0.48/1.41  cnf(7, plain, [convergent_lines(parallel_through_point(_18568, _18524), _18568)], clausify(cp1)).
% 0.48/1.41  cnf(8, plain, [apart_point_and_line(_18811, parallel_through_point(_18855, _18811))], clausify(cp2)).
% 0.48/1.41  cnf(9, plain, [-(incident_point_and_line(_26602, _26649)), -(apart_point_and_line(_26602, _26649))], clausify(a4)).
% 0.48/1.41  
% 0.48/1.41  cnf('1',plain,[distinct_lines(2 ^ [], 2 ^ [])],start(3,bind([[_12500], [2 ^ []]]))).
% 0.48/1.41  cnf('1.1',plain,[-(distinct_lines(2 ^ [], 2 ^ [])), distinct_lines(2 ^ [], parallel_through_point(2 ^ [], 1 ^ [])), -(distinct_lines(parallel_through_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(4,bind([[_13351, _13407, _13462], [2 ^ [], parallel_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.48/1.41  cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], parallel_through_point(2 ^ [], 1 ^ []))), apart_point_and_line(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], parallel_through_point(2 ^ [], 1 ^ [])))],extension(5,bind([[_17141, _17085, _17196], [2 ^ [], 1 ^ [], parallel_through_point(2 ^ [], 1 ^ [])]]))).
% 0.48/1.41  cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], 2 ^ [])), -(incident_point_and_line(1 ^ [], 2 ^ []))],extension(9,bind([[_26602, _26649], [1 ^ [], 2 ^ []]]))).
% 0.48/1.41  cnf('1.1.1.1.1',plain,[incident_point_and_line(1 ^ [], 2 ^ []), point(1 ^ [])],extension(2,bind([[_32084], [1 ^ []]]))).
% 0.48/1.41  cnf('1.1.1.1.1.1',plain,[-(point(1 ^ []))],extension(1)).
% 0.48/1.41  cnf('1.1.1.2',plain,[apart_point_and_line(1 ^ [], parallel_through_point(2 ^ [], 1 ^ []))],extension(8,bind([[_18855, _18811], [2 ^ [], 1 ^ []]]))).
% 0.48/1.41  cnf('1.1.2',plain,[distinct_lines(parallel_through_point(2 ^ [], 1 ^ []), 2 ^ []), -(convergent_lines(parallel_through_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(6,bind([[_18204, _18249], [parallel_through_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.48/1.41  cnf('1.1.2.1',plain,[convergent_lines(parallel_through_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(7,bind([[_18524, _18568], [1 ^ [], 2 ^ []]]))).
% 0.48/1.41  %-----------------------------------------------------
% 0.48/1.42  
% 0.48/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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