TSTP Solution File: GEO195+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 05:03:31 EDT 2022
% Result : Theorem 0.66s 1.46s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : leancop_casc.sh %s %d
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jun 18 04:50:49 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.66/1.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.48
% 0.67/1.48 %-----------------------------------------------------
% 0.67/1.48 fof(con, conjecture, ! [_41497, _41500, _41503] : (convergent_lines(_41497, _41500) & convergent_lines(_41503, _41500) & convergent_lines(_41497, _41503) => apart_point_and_line(intersection_point(_41497, _41500), _41503) => apart_point_and_line(intersection_point(_41500, _41497), _41503)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.67/1.48 fof(apart3, axiom, ! [_41796] : ~ convergent_lines(_41796, _41796), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.67/1.48 fof(ax6, axiom, ! [_41912, _41915, _41918] : (convergent_lines(_41912, _41915) => convergent_lines(_41912, _41918) | convergent_lines(_41915, _41918)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.67/1.48 fof(ci3, axiom, ! [_42099, _42102] : (convergent_lines(_42099, _42102) => ~ apart_point_and_line(intersection_point(_42099, _42102), _42099)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.67/1.48 fof(ci4, axiom, ! [_42268, _42271] : (convergent_lines(_42268, _42271) => ~ apart_point_and_line(intersection_point(_42268, _42271), _42271)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.67/1.48 fof(cu1, axiom, ! [_42437, _42440, _42443, _42446] : (distinct_points(_42437, _42440) & distinct_lines(_42443, _42446) => apart_point_and_line(_42437, _42443) | apart_point_and_line(_42437, _42446) | apart_point_and_line(_42440, _42443) | apart_point_and_line(_42440, _42446)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.67/1.48 fof(ceq1, axiom, ! [_42717, _42720, _42723] : (apart_point_and_line(_42717, _42720) => distinct_points(_42717, _42723) | apart_point_and_line(_42723, _42720)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.67/1.48 fof(ceq3, axiom, ! [_42903, _42906, _42909] : (convergent_lines(_42903, _42906) => distinct_lines(_42906, _42909) | convergent_lines(_42903, _42909)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.67/1.48
% 0.67/1.48 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.67/1.48 cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.67/1.48 cnf(3, plain, [apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])], clausify(con)).
% 0.67/1.48 cnf(4, plain, [convergent_lines(_12771, _12771)], clausify(apart3)).
% 0.67/1.48 cnf(5, plain, [convergent_lines(_13897, _13953), -(convergent_lines(_13897, _14008)), -(convergent_lines(_13953, _14008))], clausify(ax6)).
% 0.67/1.48 cnf(6, plain, [convergent_lines(_15110, _15160), apart_point_and_line(intersection_point(_15110, _15160), _15110)], clausify(ci3)).
% 0.67/1.48 cnf(7, plain, [convergent_lines(_15483, _15533), apart_point_and_line(intersection_point(_15483, _15533), _15533)], clausify(ci4)).
% 0.67/1.48 cnf(8, plain, [distinct_lines(_16013, _16090), distinct_points(_15856, _15935), -(apart_point_and_line(_15856, _16013)), -(apart_point_and_line(_15856, _16090)), -(apart_point_and_line(_15935, _16013)), -(apart_point_and_line(_15935, _16090))], clausify(cu1)).
% 0.67/1.48 cnf(9, plain, [apart_point_and_line(_16697, _16753), -(distinct_points(_16697, _16808)), -(apart_point_and_line(_16808, _16753))], clausify(ceq1)).
% 0.67/1.48 cnf(10, plain, [convergent_lines(_17621, _17677), -(distinct_lines(_17677, _17732)), -(convergent_lines(_17621, _17732))], clausify(ceq3)).
% 0.67/1.48
% 0.67/1.48 cnf('1',plain,[convergent_lines(1 ^ [], 1 ^ [])],start(4,bind([[_12771], [1 ^ []]]))).
% 0.67/1.48 cnf('1.1',plain,[-(convergent_lines(1 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 1 ^ []))],extension(5,bind([[_13897, _13953, _14008], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.67/1.48 cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.67/1.48 cnf('1.1.2',plain,[convergent_lines(2 ^ [], 1 ^ []), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(6,bind([[_15160, _15110], [1 ^ [], 2 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_16013, _15856, _15935, _16090], [2 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_17677, _17621, _17732], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.67/1.48 cnf('1.1.2.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_12771], [1 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))],extension(9,bind([[_16697, _16808, _16753], [intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.67/1.48 cnf('1.1.2.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])],extension(3)).
% 0.67/1.48 cnf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15483, _15533], [1 ^ [], 2 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.67/1.48 cnf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_15110, _15160], [1 ^ [], 2 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.67/1.48 cnf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(7,bind([[_15483, _15533], [2 ^ [], 1 ^ []]]))).
% 0.67/1.48 cnf('1.1.2.1.5.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.67/1.48 %-----------------------------------------------------
% 0.67/1.49
% 0.67/1.49 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------