TSTP Solution File: GEO191+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 05:03:27 EDT 2022
% Result : Theorem 0.38s 1.41s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.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 : Sat Jun 18 01:36:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(con, conjecture, ! [_21484, _21487, _21490, _21493] : (convergent_lines(_21484, _21487) & convergent_lines(_21490, _21493) & (apart_point_and_line(intersection_point(_21484, _21487), _21490) | apart_point_and_line(intersection_point(_21484, _21487), _21493)) => apart_point_and_line(intersection_point(_21490, _21493), _21484) | apart_point_and_line(intersection_point(_21490, _21493), _21487)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.38/1.42 fof(apart1, axiom, ! [_21872] : ~ distinct_points(_21872, _21872), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.38/1.42 fof(apart2, axiom, ! [_21986] : ~ distinct_lines(_21986, _21986), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.38/1.42 fof(apart5, axiom, ! [_22102, _22105, _22108] : (distinct_lines(_22102, _22105) => distinct_lines(_22102, _22108) | distinct_lines(_22105, _22108)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.38/1.42 fof(con2, axiom, ! [_22290, _22293, _22296] : (convergent_lines(_22290, _22293) => apart_point_and_line(_22296, _22290) | apart_point_and_line(_22296, _22293) => distinct_points(_22296, intersection_point(_22290, _22293))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.38/1.42 fof(cu1, axiom, ! [_22531, _22534, _22537, _22540] : (distinct_points(_22531, _22534) & distinct_lines(_22537, _22540) => apart_point_and_line(_22531, _22537) | apart_point_and_line(_22531, _22540) | apart_point_and_line(_22534, _22537) | apart_point_and_line(_22534, _22540)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.38/1.42 fof(ceq3, axiom, ! [_22812, _22815] : (convergent_lines(_22812, _22815) => distinct_lines(_22812, _22815)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])], clausify(con)).
% 0.38/1.42 cnf(2, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])], clausify(con)).
% 0.38/1.42 cnf(3, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.42 cnf(4, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.38/1.42 cnf(5, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))], clausify(con)).
% 0.38/1.42 cnf(6, plain, [distinct_points(_6015, _6015)], clausify(apart1)).
% 0.38/1.42 cnf(7, plain, [distinct_lines(_6207, _6207)], clausify(apart2)).
% 0.38/1.42 cnf(8, plain, [distinct_lines(_7058, _7114), -(distinct_lines(_7058, _7169)), -(distinct_lines(_7114, _7169))], clausify(apart5)).
% 0.38/1.42 cnf(9, plain, [convergent_lines(_8597, _8662), apart_point_and_line(_8726, _8597), -(distinct_points(_8726, intersection_point(_8597, _8662)))], clausify(con2)).
% 0.38/1.42 cnf(10, plain, [convergent_lines(_8597, _8662), apart_point_and_line(_8726, _8662), -(distinct_points(_8726, intersection_point(_8597, _8662)))], clausify(con2)).
% 0.38/1.42 cnf(11, plain, [distinct_lines(_9359, _9436), distinct_points(_9202, _9281), -(apart_point_and_line(_9202, _9359)), -(apart_point_and_line(_9202, _9436)), -(apart_point_and_line(_9281, _9359)), -(apart_point_and_line(_9281, _9436))], clausify(cu1)).
% 0.38/1.42 cnf(12, plain, [convergent_lines(_10967, _11012), -(distinct_lines(_10967, _11012))], clausify(ceq3)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])],start(1)).
% 0.38/1.42 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))],extension(11,bind([[_9359, _9202, _9281, _9436], [1 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_7058, _7114, _7169], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_7058, _7114, _7169], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(12,bind([[_10967, _11012], [1 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.38/1.42 cnf('1.1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(7,bind([[_6207], [2 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(7,bind([[_6207], [2 ^ []]]))).
% 0.38/1.42 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))), convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],extension(9,bind([[_8662, _8726, _8597], [4 ^ [], intersection_point(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.1.2.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.1.2.2.1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ [])))],extension(10,bind([[_8726, _8597, _8662], [intersection_point(1 ^ [], 2 ^ []), 3 ^ [], 4 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.1.2.2.1.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.38/1.42 cnf('1.1.3',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([[_8726, _8597, _8662], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.38/1.42 cnf('1.1.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(6,bind([[_6015], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.38/1.42 cnf('1.1.4',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([[_8726, _8597, _8662], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 0.38/1.42 cnf('1.1.4.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(6,bind([[_6015], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.38/1.42 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])],extension(2)).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.43
% 0.38/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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