TSTP Solution File: GEO181+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 05:03:19 EDT 2022
% Result : Theorem 29.42s 29.38s
% Output : Proof 29.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 11:18:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 29.42/29.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.49/29.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.49/29.39
% 29.49/29.39 %-----------------------------------------------------
% 29.49/29.39 fof(con1, axiom, ! [_31181, _31184, _31187] : (distinct_points(_31181, _31184) => apart_point_and_line(_31187, line_connecting(_31181, _31184)) => distinct_points(_31187, _31181) & distinct_points(_31187, _31184)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 29.49/29.39 fof(con, conjecture, ! [_31421, _31424, _31427] : (distinct_points(_31421, _31424) => apart_point_and_line(_31427, line_connecting(_31421, _31424)) => apart_point_and_line(_31424, line_connecting(_31421, _31427))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 29.49/29.39 fof(apart1, axiom, ! [_31662] : ~ distinct_points(_31662, _31662), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 29.49/29.39 fof(apart4, axiom, ! [_31778, _31781, _31784] : (distinct_points(_31778, _31781) => distinct_points(_31778, _31784) | distinct_points(_31781, _31784)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 29.49/29.39 fof(cu1, axiom, ! [_31977, _31980, _31983, _31986] : (distinct_points(_31977, _31980) & distinct_lines(_31983, _31986) => apart_point_and_line(_31977, _31983) | apart_point_and_line(_31977, _31986) | apart_point_and_line(_31980, _31983) | apart_point_and_line(_31980, _31986)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 29.49/29.39 fof(ceq2, axiom, ! [_32259, _32262, _32265] : (apart_point_and_line(_32259, _32262) => distinct_lines(_32262, _32265) | apart_point_and_line(_32259, _32265)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 29.49/29.39
% 29.49/29.39 cnf(1, plain, [-(1 ^ [_7976, _7912, _7847]), -(distinct_points(_7976, _7912))], clausify(con1)).
% 29.49/29.39 cnf(2, plain, [-(1 ^ [_7976, _7912, _7847]), -(distinct_points(_7976, _7847))], clausify(con1)).
% 29.49/29.39 cnf(3, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 29.49/29.39 cnf(4, plain, [-(apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ [])))], clausify(con)).
% 29.49/29.39 cnf(5, plain, [apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 5 ^ []))], clausify(con)).
% 29.49/29.39 cnf(6, plain, [distinct_points(_5870, _5870)], clausify(apart1)).
% 29.49/29.39 cnf(7, plain, [distinct_points(_6446, _6502), -(distinct_points(_6446, _6557)), -(distinct_points(_6502, _6557))], clausify(apart4)).
% 29.49/29.39 cnf(8, plain, [distinct_points(_7847, _7912), apart_point_and_line(_7976, line_connecting(_7847, _7912)), 1 ^ [_7976, _7912, _7847]], clausify(con1)).
% 29.49/29.39 cnf(9, plain, [distinct_lines(_9214, _9291), distinct_points(_9057, _9136), -(apart_point_and_line(_9057, _9214)), -(apart_point_and_line(_9057, _9291)), -(apart_point_and_line(_9136, _9214)), -(apart_point_and_line(_9136, _9291))], clausify(cu1)).
% 29.49/29.39 cnf(10, plain, [apart_point_and_line(_10365, _10421), -(distinct_lines(_10421, _10476)), -(apart_point_and_line(_10365, _10476))], clausify(ceq2)).
% 29.49/29.39
% 29.49/29.39 cnf('1',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 5 ^ []))],start(5)).
% 29.49/29.39 cnf('1.1',plain,[-(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 5 ^ []))), distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(3 ^ [], 5 ^ [])), distinct_points(4 ^ [], 3 ^ []), -(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 5 ^ [])))],extension(9,bind([[_9057, _9214, _9136, _9291], [4 ^ [], line_connecting(3 ^ [], 4 ^ []), 3 ^ [], line_connecting(3 ^ [], 5 ^ [])]]))).
% 29.49/29.39 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(3 ^ [], 5 ^ []))), apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 5 ^ [])))],extension(10,bind([[_10421, _10365, _10476], [line_connecting(3 ^ [], 4 ^ []), 5 ^ [], line_connecting(3 ^ [], 5 ^ [])]]))).
% 29.49/29.39 cnf('1.1.1.1',plain,[-(apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(4)).
% 29.49/29.39 cnf('1.1.1.2',plain,[apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 5 ^ [])), distinct_points(3 ^ [], 5 ^ []), 1 ^ [5 ^ [], 5 ^ [], 3 ^ []]],extension(8,bind([[_7976, _7912, _7847], [5 ^ [], 5 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.1',plain,[-(distinct_points(3 ^ [], 5 ^ [])), distinct_points(5 ^ [], 3 ^ []), -(distinct_points(5 ^ [], 5 ^ []))],extension(7,bind([[_6502, _6446, _6557], [3 ^ [], 5 ^ [], 5 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.1.1',plain,[-(distinct_points(5 ^ [], 3 ^ [])), -(1 ^ [5 ^ [], 4 ^ [], 3 ^ []])],extension(2,bind([[_7976, _7912, _7847], [5 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.1.1.1',plain,[1 ^ [5 ^ [], 4 ^ [], 3 ^ []], distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(8,bind([[_7976, _7847, _7912], [5 ^ [], 3 ^ [], 4 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.1.1.1.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(3)).
% 29.49/29.39 cnf('1.1.1.2.1.1.1.2',plain,[-(apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(4)).
% 29.49/29.39 cnf('1.1.1.2.1.2',plain,[distinct_points(5 ^ [], 5 ^ [])],extension(6,bind([[_5870], [5 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.2',plain,[-(1 ^ [5 ^ [], 5 ^ [], 3 ^ []]), -(distinct_points(5 ^ [], 5 ^ []))],extension(1,bind([[_7847, _7976, _7912], [3 ^ [], 5 ^ [], 5 ^ []]]))).
% 29.49/29.39 cnf('1.1.1.2.2.1',plain,[distinct_points(5 ^ [], 5 ^ [])],extension(6,bind([[_5870], [5 ^ []]]))).
% 29.49/29.39 cnf('1.1.2',plain,[-(distinct_points(4 ^ [], 3 ^ [])), distinct_points(4 ^ [], 3 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(7,bind([[_6446, _6502, _6557], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1',plain,[-(distinct_points(4 ^ [], 3 ^ [])), distinct_points(4 ^ [], 3 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(7,bind([[_6446, _6502, _6557], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1.1',plain,[-(distinct_points(4 ^ [], 3 ^ [])), distinct_points(4 ^ [], 3 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(7,bind([[_6446, _6502, _6557], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1.1.1',plain,[-(distinct_points(4 ^ [], 3 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(7,bind([[_6502, _6446, _6557], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1.1.1.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(3)).
% 29.49/29.39 cnf('1.1.2.1.1.1.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1.1.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.1.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 cnf('1.1.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 cnf('1.1.3',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), 1 ^ [4 ^ [], 4 ^ [], 3 ^ []]],extension(8,bind([[_7976, _7912, _7847], [4 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.3.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(3)).
% 29.49/29.39 cnf('1.1.3.2',plain,[-(1 ^ [4 ^ [], 4 ^ [], 3 ^ []]), -(distinct_points(4 ^ [], 4 ^ []))],extension(1,bind([[_7847, _7976, _7912], [3 ^ [], 4 ^ [], 4 ^ []]]))).
% 29.49/29.39 cnf('1.1.3.2.1',plain,[distinct_points(4 ^ [], 4 ^ [])],extension(6,bind([[_5870], [4 ^ []]]))).
% 29.49/29.39 cnf('1.1.4',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), 1 ^ [3 ^ [], 4 ^ [], 3 ^ []]],extension(8,bind([[_7976, _7912, _7847], [3 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.1',plain,[-(distinct_points(3 ^ [], 4 ^ [])), -(1 ^ [3 ^ [], 4 ^ [], 3 ^ []])],extension(1,bind([[_7976, _7912, _7847], [3 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.1.1',plain,[1 ^ [3 ^ [], 4 ^ [], 3 ^ []], distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(8,bind([[_7976, _7847, _7912], [3 ^ [], 3 ^ [], 4 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.1.1.1',plain,[-(distinct_points(3 ^ [], 4 ^ [])), -(1 ^ [3 ^ [], 4 ^ [], 3 ^ []])],extension(1,bind([[_7976, _7912, _7847], [3 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.1.1.1.1',plain,[1 ^ [3 ^ [], 4 ^ [], 3 ^ []], distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(8,bind([[_7976, _7847, _7912], [3 ^ [], 3 ^ [], 4 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.1.1.1.1.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(3)).
% 29.49/29.39 cnf('1.1.4.1.1.1.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 29.49/29.39 cnf('1.1.4.1.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 29.49/29.39 cnf('1.1.4.2',plain,[-(1 ^ [3 ^ [], 4 ^ [], 3 ^ []]), -(distinct_points(3 ^ [], 3 ^ []))],extension(2,bind([[_7912, _7976, _7847], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.4.2.1',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 cnf('1.1.5',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 5 ^ [])), distinct_points(3 ^ [], 5 ^ []), 1 ^ [3 ^ [], 5 ^ [], 3 ^ []]],extension(8,bind([[_7976, _7912, _7847], [3 ^ [], 5 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.1',plain,[-(distinct_points(3 ^ [], 5 ^ [])), distinct_points(5 ^ [], 3 ^ []), -(distinct_points(5 ^ [], 5 ^ []))],extension(7,bind([[_6502, _6446, _6557], [3 ^ [], 5 ^ [], 5 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.1.1',plain,[-(distinct_points(5 ^ [], 3 ^ [])), -(1 ^ [5 ^ [], 4 ^ [], 3 ^ []])],extension(2,bind([[_7976, _7912, _7847], [5 ^ [], 4 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.1.1.1',plain,[1 ^ [5 ^ [], 4 ^ [], 3 ^ []], distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(8,bind([[_7976, _7847, _7912], [5 ^ [], 3 ^ [], 4 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.1.1.1.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(3)).
% 29.49/29.39 cnf('1.1.5.1.1.1.2',plain,[-(apart_point_and_line(5 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(4)).
% 29.49/29.39 cnf('1.1.5.1.2',plain,[distinct_points(5 ^ [], 5 ^ [])],extension(6,bind([[_5870], [5 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.2',plain,[-(1 ^ [3 ^ [], 5 ^ [], 3 ^ []]), -(distinct_points(3 ^ [], 3 ^ []))],extension(2,bind([[_7912, _7976, _7847], [5 ^ [], 3 ^ [], 3 ^ []]]))).
% 29.49/29.39 cnf('1.1.5.2.1',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_5870], [3 ^ []]]))).
% 29.49/29.39 %-----------------------------------------------------
% 29.49/29.39
% 29.52/29.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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