TSTP Solution File: GEO201+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 05:03:36 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 17:01:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.42
% 0.42/1.42 %-----------------------------------------------------
% 0.42/1.42 fof(con, conjecture, ! [_22306, _22309] : (convergent_lines(_22306, _22309) => ~ distinct_points(intersection_point(_22306, _22309), intersection_point(_22309, _22306))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.42/1.42 fof(apart1, axiom, ! [_22502] : ~ distinct_points(_22502, _22502), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.42/1.42 fof(apart2, axiom, ! [_22616] : ~ distinct_lines(_22616, _22616), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.42/1.42 fof(apart3, axiom, ! [_22730] : ~ convergent_lines(_22730, _22730), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.42/1.42 fof(apart4, axiom, ! [_22844, _22847, _22850] : (distinct_points(_22844, _22847) => distinct_points(_22844, _22850) | distinct_points(_22847, _22850)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.42/1.42 fof(apart5, axiom, ! [_23029, _23032, _23035] : (distinct_lines(_23029, _23032) => distinct_lines(_23029, _23035) | distinct_lines(_23032, _23035)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.42/1.42 fof(apart6, axiom, ! [_23214, _23217, _23220] : (convergent_lines(_23214, _23217) => convergent_lines(_23214, _23220) | convergent_lines(_23217, _23220)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.42/1.42 fof(con2, axiom, ! [_23401, _23404, _23407] : (convergent_lines(_23401, _23404) => apart_point_and_line(_23407, _23401) | apart_point_and_line(_23407, _23404) => distinct_points(_23407, intersection_point(_23401, _23404))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.42/1.42 fof(cu1, axiom, ! [_23642, _23645, _23648, _23651] : (distinct_points(_23642, _23645) & distinct_lines(_23648, _23651) => apart_point_and_line(_23642, _23648) | apart_point_and_line(_23642, _23651) | apart_point_and_line(_23645, _23648) | apart_point_and_line(_23645, _23651)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.42/1.42 fof(ceq3, axiom, ! [_23923, _23926] : (convergent_lines(_23923, _23926) => distinct_lines(_23923, _23926)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.42/1.42
% 0.42/1.42 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.42/1.42 cnf(2, plain, [-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.42/1.42 cnf(3, plain, [distinct_points(_5785, _5785)], clausify(apart1)).
% 0.42/1.42 cnf(4, plain, [distinct_lines(_5977, _5977)], clausify(apart2)).
% 0.42/1.42 cnf(5, plain, [convergent_lines(_6169, _6169)], clausify(apart3)).
% 0.42/1.42 cnf(6, plain, [distinct_points(_6361, _6417), -(distinct_points(_6361, _6472)), -(distinct_points(_6417, _6472))], clausify(apart4)).
% 0.42/1.42 cnf(7, plain, [distinct_lines(_6828, _6884), -(distinct_lines(_6828, _6939)), -(distinct_lines(_6884, _6939))], clausify(apart5)).
% 0.42/1.42 cnf(8, plain, [convergent_lines(_7295, _7351), -(convergent_lines(_7295, _7406)), -(convergent_lines(_7351, _7406))], clausify(apart6)).
% 0.42/1.42 cnf(9, plain, [convergent_lines(_8367, _8432), apart_point_and_line(_8496, _8367), -(distinct_points(_8496, intersection_point(_8367, _8432)))], clausify(con2)).
% 0.42/1.42 cnf(10, plain, [convergent_lines(_8367, _8432), apart_point_and_line(_8496, _8432), -(distinct_points(_8496, intersection_point(_8367, _8432)))], clausify(con2)).
% 0.42/1.42 cnf(11, plain, [distinct_lines(_9129, _9206), distinct_points(_8972, _9051), -(apart_point_and_line(_8972, _9129)), -(apart_point_and_line(_8972, _9206)), -(apart_point_and_line(_9051, _9129)), -(apart_point_and_line(_9051, _9206))], clausify(cu1)).
% 0.42/1.42 cnf(12, plain, [convergent_lines(_10737, _10782), -(distinct_lines(_10737, _10782))], clausify(ceq3)).
% 0.42/1.42
% 0.42/1.42 cnf('1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],start(3,bind([[_5785], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.42/1.42 cnf('1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(6,bind([[_6361, _6417, _6472], [intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.42/1.42 cnf('1.1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(2)).
% 0.42/1.42 cnf('1.1.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(11,bind([[_8972, _9129, _9051, _9206], [intersection_point(2 ^ [], 1 ^ []), 1 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_6828, _6884, _6939], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_6828, _6884, _6939], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(12,bind([[_10737, _10782], [1 ^ [], 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(4,bind([[_5977], [2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(4,bind([[_5977], [2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(10,bind([[_8496, _8367, _8432], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.2.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7351, _7295, _7406], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2.2.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6169], [1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.2.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(3,bind([[_5785], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.42/1.42 cnf('1.1.2.3',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(9,bind([[_8496, _8367, _8432], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.3.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7351, _7295, _7406], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.3.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2.3.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6169], [1 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.3.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(3,bind([[_5785], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.42/1.42 cnf('1.1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(9,bind([[_8496, _8367, _8432], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2.4.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(3,bind([[_5785], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.42/1.42 cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(10,bind([[_8496, _8367, _8432], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2.5.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(3,bind([[_5785], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.42/1.42 %-----------------------------------------------------
% 0.42/1.43
% 0.42/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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