TSTP Solution File: GEO204+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 05:03:39 EDT 2022
% Result : Theorem 6.12s 6.59s
% Output : Proof 6.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.15 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 14:13:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 6.12/6.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.12/6.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.12/6.61
% 6.12/6.61 %-----------------------------------------------------
% 6.12/6.61 fof(con, conjecture, ! [_41915, _41918, _41921] : (distinct_points(_41915, _41918) & equal_points(_41918, _41921) => distinct_points(_41915, _41921) & equal_lines(line_connecting(_41915, _41918), line_connecting(_41915, _41921))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 6.12/6.61 fof(apart2, axiom, ! [_42163] : ~ distinct_lines(_42163, _42163), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart2)).
% 6.12/6.61 fof(apart3, axiom, ! [_42277] : ~ convergent_lines(_42277, _42277), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 6.12/6.61 fof(apart5, axiom, ! [_42392, _42395, _42398] : (distinct_lines(_42392, _42395) => distinct_lines(_42392, _42398) | distinct_lines(_42395, _42398)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart5)).
% 6.12/6.61 fof(ci1, axiom, ! [_42578, _42581] : (distinct_points(_42578, _42581) => ~ apart_point_and_line(_42578, line_connecting(_42578, _42581))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 6.12/6.61 fof(ci2, axiom, ! [_42747, _42750] : (distinct_points(_42747, _42750) => ~ apart_point_and_line(_42750, line_connecting(_42747, _42750))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 6.12/6.61 fof(cu1, axiom, ! [_42918, _42921, _42924, _42927] : (distinct_points(_42918, _42921) & distinct_lines(_42924, _42927) => apart_point_and_line(_42918, _42924) | apart_point_and_line(_42918, _42927) | apart_point_and_line(_42921, _42924) | apart_point_and_line(_42921, _42927)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 6.12/6.61 fof(ceq2, axiom, ! [_43199, _43202, _43205] : (apart_point_and_line(_43199, _43202) => distinct_lines(_43202, _43205) | apart_point_and_line(_43199, _43205)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 6.12/6.61 fof(ceq3, axiom, ! [_43384, _43387, _43390] : (convergent_lines(_43384, _43387) => distinct_lines(_43387, _43390) | convergent_lines(_43384, _43390)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 6.12/6.61 fof(p1, axiom, ! [_43569, _43572] : (distinct_lines(_43569, _43572) => convergent_lines(_43569, _43572)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 6.12/6.61 fof(cp1, axiom, ! [_43715, _43718] : ~ convergent_lines(parallel_through_point(_43718, _43715), _43718), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 6.12/6.61 fof(cp2, axiom, ! [_43856, _43859] : ~ apart_point_and_line(_43856, parallel_through_point(_43859, _43856)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp2)).
% 6.12/6.61 fof(occu1, axiom, ! [_43998, _44001] : (convergent_lines(_43998, _44001) | unorthogonal_lines(_43998, _44001)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 6.12/6.61 fof(ooc1, axiom, ! [_44148, _44151] : ~ unorthogonal_lines(orthogonal_through_point(_44151, _44148), _44151), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 6.12/6.61 fof(ooc2, axiom, ! [_44289, _44292] : ~ apart_point_and_line(_44289, orthogonal_through_point(_44292, _44289)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 6.12/6.61
% 6.12/6.61 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 6.12/6.61 cnf(2, plain, [distinct_lines(_12539, _12539)], clausify(apart2)).
% 6.12/6.61 cnf(3, plain, [convergent_lines(_12731, _12731)], clausify(apart3)).
% 6.12/6.61 cnf(4, plain, [distinct_lines(_13390, _13446), -(distinct_lines(_13390, _13501)), -(distinct_lines(_13446, _13501))], clausify(apart5)).
% 6.12/6.61 cnf(5, plain, [distinct_points(_14324, _14374), apart_point_and_line(_14324, line_connecting(_14324, _14374))], clausify(ci1)).
% 6.12/6.61 cnf(6, plain, [distinct_points(_14697, _14747), apart_point_and_line(_14747, line_connecting(_14697, _14747))], clausify(ci2)).
% 6.12/6.61 cnf(7, plain, [distinct_lines(_15973, _16050), distinct_points(_15816, _15895), -(apart_point_and_line(_15816, _15973)), -(apart_point_and_line(_15816, _16050)), -(apart_point_and_line(_15895, _15973)), -(apart_point_and_line(_15895, _16050))], clausify(cu1)).
% 6.12/6.61 cnf(8, plain, [apart_point_and_line(_17124, _17180), -(distinct_lines(_17180, _17235)), -(apart_point_and_line(_17124, _17235))], clausify(ceq2)).
% 6.12/6.61 cnf(9, plain, [convergent_lines(_17581, _17637), -(distinct_lines(_17637, _17692)), -(convergent_lines(_17581, _17692))], clausify(ceq3)).
% 6.12/6.61 cnf(10, plain, [distinct_lines(_18243, _18288), -(convergent_lines(_18243, _18288))], clausify(p1)).
% 6.12/6.61 cnf(11, plain, [convergent_lines(parallel_through_point(_18607, _18563), _18607)], clausify(cp1)).
% 6.12/6.61 cnf(12, plain, [apart_point_and_line(_18850, parallel_through_point(_18894, _18850))], clausify(cp2)).
% 6.12/6.61 cnf(13, plain, [-(convergent_lines(_19726, _19771)), -(unorthogonal_lines(_19726, _19771))], clausify(occu1)).
% 6.12/6.61 cnf(14, plain, [unorthogonal_lines(orthogonal_through_point(_20823, _20779), _20823)], clausify(ooc1)).
% 6.12/6.61 cnf(15, plain, [apart_point_and_line(_21066, orthogonal_through_point(_21110, _21066))], clausify(ooc2)).
% 6.12/6.61
% 6.12/6.61 cnf('1',plain,[apart_point_and_line(2 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []))],start(12,bind([[_18894, _18850], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []]]))).
% 6.12/6.61 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([[_17124, _17180, _17235], [2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [])]]))).
% 6.12/6.61 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([[_15816, _16050, _15895, _15973], [1 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 6.12/6.61 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([[_17637, _17581, _17692], [line_connecting(1 ^ [], 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 6.12/6.61 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([[_19726, _19771], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 6.12/6.61 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([[_20779, _20823], [1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 6.12/6.61 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([[_12731], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 6.12/6.61 cnf('1.1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 6.12/6.61 cnf('1.1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(5,bind([[_14324, _14374], [1 ^ [], 2 ^ []]]))).
% 6.12/6.61 cnf('1.1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 6.12/6.61 cnf('1.1.1.4',plain,[apart_point_and_line(1 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []))],extension(15,bind([[_21110, _21066], [line_connecting(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 6.12/6.61 cnf('1.1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_14697, _14747], [1 ^ [], 2 ^ []]]))).
% 6.12/6.61 cnf('1.1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 6.12/6.61 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([[_13390, _13446, _13501], [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 ^ [])]]))).
% 6.12/6.61 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([[_12539], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 6.12/6.61 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([[_18243, _18288], [parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ []), 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 6.12/6.61 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([[_18563, _18607], [2 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 1 ^ [])]]))).
% 6.12/6.61 %-----------------------------------------------------
% 6.12/6.62
% 6.12/6.62 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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