TSTP Solution File: GEO196+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 05:03:31 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n007.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 03:54:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.43
% 0.42/1.43 %-----------------------------------------------------
% 0.42/1.43 fof(con, conjecture, ! [_21706, _21709, _21712, _21715] : (convergent_lines(_21706, _21709) & convergent_lines(_21712, _21715) & ~ apart_point_and_line(intersection_point(_21706, _21709), _21712) & ~ apart_point_and_line(intersection_point(_21706, _21709), _21715) => ~ apart_point_and_line(intersection_point(_21712, _21715), _21706) & ~ apart_point_and_line(intersection_point(_21712, _21715), _21709)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.42/1.43 fof(apart1, axiom, ! [_22122] : ~ distinct_points(_22122, _22122), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.42/1.43 fof(apart2, axiom, ! [_22236] : ~ distinct_lines(_22236, _22236), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.42/1.43 fof(apart5, axiom, ! [_22352, _22355, _22358] : (distinct_lines(_22352, _22355) => distinct_lines(_22352, _22358) | distinct_lines(_22355, _22358)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.42/1.43 fof(con2, axiom, ! [_22540, _22543, _22546] : (convergent_lines(_22540, _22543) => apart_point_and_line(_22546, _22540) | apart_point_and_line(_22546, _22543) => distinct_points(_22546, intersection_point(_22540, _22543))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.42/1.43 fof(cu1, axiom, ! [_22781, _22784, _22787, _22790] : (distinct_points(_22781, _22784) & distinct_lines(_22787, _22790) => apart_point_and_line(_22781, _22787) | apart_point_and_line(_22781, _22790) | apart_point_and_line(_22784, _22787) | apart_point_and_line(_22784, _22790)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.42/1.43 fof(ceq3, axiom, ! [_23062, _23065] : (convergent_lines(_23062, _23065) => distinct_lines(_23062, _23065)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.42/1.43
% 0.42/1.43 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.42/1.43 cnf(2, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.42/1.43 cnf(3, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.42/1.43 cnf(4, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ [])], clausify(con)).
% 0.42/1.43 cnf(5, plain, [-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))], clausify(con)).
% 0.42/1.43 cnf(6, plain, [distinct_points(_6103, _6103)], clausify(apart1)).
% 0.42/1.43 cnf(7, plain, [distinct_lines(_6295, _6295)], clausify(apart2)).
% 0.42/1.43 cnf(8, plain, [distinct_lines(_7146, _7202), -(distinct_lines(_7146, _7257)), -(distinct_lines(_7202, _7257))], clausify(apart5)).
% 0.42/1.43 cnf(9, plain, [convergent_lines(_8685, _8750), apart_point_and_line(_8814, _8685), -(distinct_points(_8814, intersection_point(_8685, _8750)))], clausify(con2)).
% 0.42/1.43 cnf(10, plain, [convergent_lines(_8685, _8750), apart_point_and_line(_8814, _8750), -(distinct_points(_8814, intersection_point(_8685, _8750)))], clausify(con2)).
% 0.42/1.43 cnf(11, plain, [distinct_lines(_9447, _9524), distinct_points(_9290, _9369), -(apart_point_and_line(_9290, _9447)), -(apart_point_and_line(_9290, _9524)), -(apart_point_and_line(_9369, _9447)), -(apart_point_and_line(_9369, _9524))], clausify(cu1)).
% 0.42/1.43 cnf(12, plain, [convergent_lines(_11055, _11100), -(distinct_lines(_11055, _11100))], clausify(ceq3)).
% 0.42/1.43
% 0.42/1.43 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],start(3)).
% 0.42/1.43 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), distinct_lines(3 ^ [], 4 ^ []), distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))],extension(11,bind([[_9447, _9290, _9369, _9524], [3 ^ [], intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []), 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.1',plain,[-(distinct_lines(3 ^ [], 4 ^ [])), distinct_lines(3 ^ [], 4 ^ []), -(distinct_lines(4 ^ [], 4 ^ []))],extension(8,bind([[_7146, _7202, _7257], [3 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.1.1',plain,[-(distinct_lines(3 ^ [], 4 ^ [])), distinct_lines(3 ^ [], 4 ^ []), -(distinct_lines(4 ^ [], 4 ^ []))],extension(8,bind([[_7146, _7202, _7257], [3 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.1.1.1',plain,[-(distinct_lines(3 ^ [], 4 ^ [])), convergent_lines(3 ^ [], 4 ^ [])],extension(12,bind([[_11055, _11100], [3 ^ [], 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.42/1.43 cnf('1.1.1.1.2',plain,[distinct_lines(4 ^ [], 4 ^ [])],extension(7,bind([[_6295], [4 ^ []]]))).
% 0.42/1.43 cnf('1.1.1.2',plain,[distinct_lines(4 ^ [], 4 ^ [])],extension(7,bind([[_6295], [4 ^ []]]))).
% 0.42/1.43 cnf('1.1.2',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []))), convergent_lines(1 ^ [], 2 ^ []), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])],extension(9,bind([[_8750, _8814, _8685], [2 ^ [], intersection_point(3 ^ [], 4 ^ []), 1 ^ []]]))).
% 0.42/1.43 cnf('1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.43 cnf('1.1.2.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))],extension(5)).
% 0.42/1.43 cnf('1.1.2.2.1',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(10,bind([[_8814, _8685, _8750], [intersection_point(3 ^ [], 4 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.42/1.43 cnf('1.1.2.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.43 cnf('1.1.2.2.1.2',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(1 ^ [], 2 ^ []))],reduction('1.1')).
% 0.42/1.43 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []), convergent_lines(3 ^ [], 4 ^ []), -(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ [])))],extension(9,bind([[_8814, _8685, _8750], [intersection_point(3 ^ [], 4 ^ []), 3 ^ [], 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.3.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.42/1.43 cnf('1.1.3.2',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ []))],extension(6,bind([[_6103], [intersection_point(3 ^ [], 4 ^ [])]]))).
% 0.42/1.43 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ []), -(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ [])))],extension(10,bind([[_8814, _8685, _8750], [intersection_point(3 ^ [], 4 ^ []), 3 ^ [], 4 ^ []]]))).
% 0.42/1.43 cnf('1.1.4.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(2)).
% 0.42/1.43 cnf('1.1.4.2',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ []))],extension(6,bind([[_6103], [intersection_point(3 ^ [], 4 ^ [])]]))).
% 0.42/1.43 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ [])],extension(4)).
% 0.42/1.43 %-----------------------------------------------------
% 0.42/1.43
% 0.42/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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