TSTP Solution File: GEO204+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 05:03:38 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 05:28:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.43
% 0.35/1.43 %-----------------------------------------------------
% 0.35/1.43 fof(con, conjecture, ! [_21068, _21071, _21074] : (distinct_points(_21068, _21071) & ~ distinct_points(_21071, _21074) => distinct_points(_21068, _21074) & ~ distinct_lines(line_connecting(_21068, _21071), line_connecting(_21068, _21074))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.43 fof(apart1, axiom, ! [_21349] : ~ distinct_points(_21349, _21349), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.35/1.43 fof(apart2, axiom, ! [_21463] : ~ distinct_lines(_21463, _21463), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.35/1.43 fof(apart4, axiom, ! [_21578, _21581, _21584] : (distinct_points(_21578, _21581) => distinct_points(_21578, _21584) | distinct_points(_21581, _21584)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.35/1.43 fof(apart5, axiom, ! [_21763, _21766, _21769] : (distinct_lines(_21763, _21766) => distinct_lines(_21763, _21769) | distinct_lines(_21766, _21769)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.35/1.43 fof(con1, axiom, ! [_21949, _21952, _21955] : (distinct_points(_21949, _21952) => apart_point_and_line(_21955, line_connecting(_21949, _21952)) => distinct_points(_21955, _21949) & distinct_points(_21955, _21952)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.35/1.43 fof(cu1, axiom, ! [_22192, _22195, _22198, _22201] : (distinct_points(_22192, _22195) & distinct_lines(_22198, _22201) => apart_point_and_line(_22192, _22198) | apart_point_and_line(_22192, _22201) | apart_point_and_line(_22195, _22198) | apart_point_and_line(_22195, _22201)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.35/1.43
% 0.35/1.43 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.35/1.43 cnf(2, plain, [distinct_points(2 ^ [], 3 ^ [])], clausify(con)).
% 0.35/1.43 cnf(3, plain, [distinct_points(1 ^ [], 3 ^ []), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.35/1.43 cnf(4, plain, [distinct_points(_5905, _5905)], clausify(apart1)).
% 0.35/1.43 cnf(5, plain, [distinct_lines(_6097, _6097)], clausify(apart2)).
% 0.35/1.43 cnf(6, plain, [distinct_points(_6481, _6537), -(distinct_points(_6481, _6592)), -(distinct_points(_6537, _6592))], clausify(apart4)).
% 0.35/1.43 cnf(7, plain, [distinct_lines(_6948, _7004), -(distinct_lines(_6948, _7059)), -(distinct_lines(_7004, _7059))], clausify(apart5)).
% 0.35/1.43 cnf(8, plain, [distinct_points(_7882, _7947), apart_point_and_line(_8011, line_connecting(_7882, _7947)), -(distinct_points(_8011, _7882))], clausify(con1)).
% 0.35/1.43 cnf(9, plain, [distinct_points(_7882, _7947), apart_point_and_line(_8011, line_connecting(_7882, _7947)), -(distinct_points(_8011, _7947))], clausify(con1)).
% 0.35/1.43 cnf(10, plain, [distinct_lines(_9249, _9326), distinct_points(_9092, _9171), -(apart_point_and_line(_9092, _9249)), -(apart_point_and_line(_9092, _9326)), -(apart_point_and_line(_9171, _9249)), -(apart_point_and_line(_9171, _9326))], clausify(cu1)).
% 0.35/1.43
% 0.35/1.43 cnf('1',plain,[distinct_points(2 ^ [], 3 ^ [])],start(2)).
% 0.35/1.43 cnf('1.1',plain,[-(distinct_points(2 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))],extension(9,bind([[_8011, _7882, _7947], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.35/1.43 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(6,bind([[_6481, _6537, _6592], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.35/1.43 cnf('1.1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.43 cnf('1.1.1.2',plain,[distinct_points(2 ^ [], 3 ^ [])],extension(2)).
% 0.35/1.43 cnf('1.1.2',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ []))), distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_9092, _9249, _9171, _9326], [2 ^ [], line_connecting(1 ^ [], 3 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.43 cnf('1.1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ [])), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(7,bind([[_7004, _6948, _7059], [line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.43 cnf('1.1.2.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 3 ^ []))), distinct_points(1 ^ [], 3 ^ [])],extension(3)).
% 0.35/1.43 cnf('1.1.2.1.1.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],lemmata('1.1')).
% 0.35/1.43 cnf('1.1.2.1.2',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(5,bind([[_6097], [line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.43 cnf('1.1.2.2',plain,[-(distinct_points(2 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6537, _6481, _6592], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.43 cnf('1.1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5905], [1 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(9,bind([[_7882, _8011, _7947], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.43 cnf('1.1.2.3.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5905], [2 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(8,bind([[_7947, _8011, _7882], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.4.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],lemmata('1.1')).
% 0.35/1.43 cnf('1.1.2.4.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5905], [1 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(8,bind([[_7947, _8011, _7882], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.35/1.43 cnf('1.1.2.5.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5905], [1 ^ []]]))).
% 0.35/1.43 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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