TSTP Solution File: GEO187+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 05:03:24 EDT 2022
% Result : Theorem 4.79s 5.52s
% Output : Proof 4.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n022.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 05:11:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.79/5.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/5.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/5.53
% 4.79/5.53 %-----------------------------------------------------
% 4.79/5.53 fof(con, conjecture, ! [_42636, _42639, _42642, _42645] : (distinct_points(_42636, _42639) & distinct_points(_42642, _42645) & incident_point_and_line(_42636, line_connecting(_42642, _42645)) & incident_point_and_line(_42639, line_connecting(_42642, _42645)) => incident_point_and_line(_42642, line_connecting(_42636, _42639)) & incident_point_and_line(_42645, line_connecting(_42636, _42639))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 4.79/5.53 fof(apart2, axiom, ! [_42985] : ~ distinct_lines(_42985, _42985), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 4.79/5.53 fof(apart3, axiom, ! [_43099] : ~ convergent_lines(_43099, _43099), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 4.79/5.53 fof(apart5, axiom, ! [_43214, _43217, _43220] : (distinct_lines(_43214, _43217) => distinct_lines(_43214, _43220) | distinct_lines(_43217, _43220)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 4.79/5.53 fof(ci1, axiom, ! [_43400, _43403] : (distinct_points(_43400, _43403) => ~ apart_point_and_line(_43400, line_connecting(_43400, _43403))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 4.79/5.53 fof(ci2, axiom, ! [_43569, _43572] : (distinct_points(_43569, _43572) => ~ apart_point_and_line(_43572, line_connecting(_43569, _43572))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 4.79/5.53 fof(cu1, axiom, ! [_43740, _43743, _43746, _43749] : (distinct_points(_43740, _43743) & distinct_lines(_43746, _43749) => apart_point_and_line(_43740, _43746) | apart_point_and_line(_43740, _43749) | apart_point_and_line(_43743, _43746) | apart_point_and_line(_43743, _43749)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 4.79/5.53 fof(ceq2, axiom, ! [_44021, _44024, _44027] : (apart_point_and_line(_44021, _44024) => distinct_lines(_44024, _44027) | apart_point_and_line(_44021, _44027)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 4.79/5.53 fof(ceq3, axiom, ! [_44206, _44209, _44212] : (convergent_lines(_44206, _44209) => distinct_lines(_44209, _44212) | convergent_lines(_44206, _44212)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 4.79/5.53 fof(p1, axiom, ! [_44391, _44394] : (distinct_lines(_44391, _44394) => convergent_lines(_44391, _44394)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 4.79/5.53 fof(cp1, axiom, ! [_44537, _44540] : ~ convergent_lines(parallel_through_point(_44540, _44537), _44540), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 4.79/5.53 fof(cp2, axiom, ! [_44678, _44681] : ~ apart_point_and_line(_44678, parallel_through_point(_44681, _44678)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 4.79/5.53 fof(occu1, axiom, ! [_44820, _44823] : (convergent_lines(_44820, _44823) | unorthogonal_lines(_44820, _44823)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 4.79/5.53 fof(ooc1, axiom, ! [_44970, _44973] : ~ unorthogonal_lines(orthogonal_through_point(_44973, _44970), _44973), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 4.79/5.53 fof(ooc2, axiom, ! [_45111, _45114] : ~ apart_point_and_line(_45111, orthogonal_through_point(_45114, _45111)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 4.79/5.53
% 4.79/5.53 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 4.79/5.53 cnf(2, plain, [distinct_lines(_12621, _12621)], clausify(apart2)).
% 4.79/5.53 cnf(3, plain, [convergent_lines(_12813, _12813)], clausify(apart3)).
% 4.79/5.53 cnf(4, plain, [distinct_lines(_13472, _13528), -(distinct_lines(_13472, _13583)), -(distinct_lines(_13528, _13583))], clausify(apart5)).
% 4.79/5.53 cnf(5, plain, [distinct_points(_14406, _14456), apart_point_and_line(_14406, line_connecting(_14406, _14456))], clausify(ci1)).
% 4.79/5.53 cnf(6, plain, [distinct_points(_14779, _14829), apart_point_and_line(_14829, line_connecting(_14779, _14829))], clausify(ci2)).
% 4.79/5.53 cnf(7, plain, [distinct_lines(_16055, _16132), distinct_points(_15898, _15977), -(apart_point_and_line(_15898, _16055)), -(apart_point_and_line(_15898, _16132)), -(apart_point_and_line(_15977, _16055)), -(apart_point_and_line(_15977, _16132))], clausify(cu1)).
% 4.79/5.53 cnf(8, plain, [apart_point_and_line(_17206, _17262), -(distinct_lines(_17262, _17317)), -(apart_point_and_line(_17206, _17317))], clausify(ceq2)).
% 4.79/5.53 cnf(9, plain, [convergent_lines(_17663, _17719), -(distinct_lines(_17719, _17774)), -(convergent_lines(_17663, _17774))], clausify(ceq3)).
% 4.79/5.53 cnf(10, plain, [distinct_lines(_18325, _18370), -(convergent_lines(_18325, _18370))], clausify(p1)).
% 4.79/5.53 cnf(11, plain, [convergent_lines(parallel_through_point(_18689, _18645), _18689)], clausify(cp1)).
% 4.79/5.53 cnf(12, plain, [apart_point_and_line(_18932, parallel_through_point(_18976, _18932))], clausify(cp2)).
% 4.79/5.53 cnf(13, plain, [-(convergent_lines(_19808, _19853)), -(unorthogonal_lines(_19808, _19853))], clausify(occu1)).
% 4.79/5.53 cnf(14, plain, [unorthogonal_lines(orthogonal_through_point(_20905, _20861), _20905)], clausify(ooc1)).
% 4.79/5.53 cnf(15, plain, [apart_point_and_line(_21148, orthogonal_through_point(_21192, _21148))], clausify(ooc2)).
% 4.79/5.53
% 4.79/5.53 cnf('1',plain,[apart_point_and_line(2 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []))],start(12,bind([[_18976, _18932], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []]]))).
% 4.79/5.53 cnf('1.1',plain,[-(apart_point_and_line(2 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []))), apart_point_and_line(2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [])))],extension(8,bind([[_17206, _17262, _17317], [2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1',plain,[-(apart_point_and_line(2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(7,bind([[_15898, _16132, _15977, _16055], [1 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))), convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])))],extension(9,bind([[_17719, _17663, _17774], [line_connecting(1 ^ [], 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1.1.1',plain,[-(convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ []))), -(unorthogonal_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(13,bind([[_19808, _19853], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(14,bind([[_20861, _20905], [1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1.1.2',plain,[convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))],extension(3,bind([[_12813], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 cnf('1.1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 4.79/5.53 cnf('1.1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(5,bind([[_14406, _14456], [1 ^ [], 2 ^ []]]))).
% 4.79/5.53 cnf('1.1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 4.79/5.53 cnf('1.1.1.4',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))],extension(15,bind([[_21192, _21148], [line_connecting(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 4.79/5.53 cnf('1.1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_14779, _14829], [1 ^ [], 2 ^ []]]))).
% 4.79/5.53 cnf('1.1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 4.79/5.53 cnf('1.1.2',plain,[distinct_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [])), -(distinct_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))), -(distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])))],extension(4,bind([[_13472, _13528, _13583], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 cnf('1.1.2.1',plain,[distinct_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))],extension(2,bind([[_12621], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 cnf('1.1.2.2',plain,[distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])), -(convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])))],extension(10,bind([[_18325, _18370], [parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 cnf('1.1.2.2.1',plain,[convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))],extension(11,bind([[_18645, _18689], [2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 4.79/5.53 %-----------------------------------------------------
% 4.79/5.54
% 4.79/5.54 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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