TSTP Solution File: GEO197+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 05:03:32 EDT 2022
% Result : Theorem 0.57s 1.41s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n024.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 10:01:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.57/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.42
% 0.57/1.42 %-----------------------------------------------------
% 0.57/1.42 fof(con, conjecture, ! [_20998, _21001, _21004] : (convergent_lines(_20998, _21001) & convergent_lines(_21004, _21001) & convergent_lines(_20998, _21004) & ~ apart_point_and_line(intersection_point(_20998, _21001), _21004) => ~ apart_point_and_line(intersection_point(_21004, _21001), _20998)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.57/1.42 fof(apart1, axiom, ! [_21319] : ~ distinct_points(_21319, _21319), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.57/1.42 fof(apart2, axiom, ! [_21433] : ~ distinct_lines(_21433, _21433), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.57/1.42 fof(apart4, axiom, ! [_21548, _21551, _21554] : (distinct_points(_21548, _21551) => distinct_points(_21548, _21554) | distinct_points(_21551, _21554)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.57/1.42 fof(apart5, axiom, ! [_21733, _21736, _21739] : (distinct_lines(_21733, _21736) => distinct_lines(_21733, _21739) | distinct_lines(_21736, _21739)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.57/1.42 fof(con2, axiom, ! [_21921, _21924, _21927] : (convergent_lines(_21921, _21924) => apart_point_and_line(_21927, _21921) | apart_point_and_line(_21927, _21924) => distinct_points(_21927, intersection_point(_21921, _21924))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.57/1.42 fof(cu1, axiom, ! [_22162, _22165, _22168, _22171] : (distinct_points(_22162, _22165) & distinct_lines(_22168, _22171) => apart_point_and_line(_22162, _22168) | apart_point_and_line(_22162, _22171) | apart_point_and_line(_22165, _22168) | apart_point_and_line(_22165, _22171)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.57/1.42 fof(ceq3, axiom, ! [_22443, _22446] : (convergent_lines(_22443, _22446) => distinct_lines(_22443, _22446)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.57/1.42
% 0.57/1.42 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.57/1.42 cnf(2, plain, [-(convergent_lines(3 ^ [], 2 ^ []))], clausify(con)).
% 0.57/1.42 cnf(3, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.57/1.42 cnf(4, plain, [-(apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 1 ^ []))], clausify(con)).
% 0.57/1.42 cnf(5, plain, [distinct_points(_5945, _5945)], clausify(apart1)).
% 0.57/1.42 cnf(6, plain, [distinct_lines(_6137, _6137)], clausify(apart2)).
% 0.57/1.42 cnf(7, plain, [distinct_points(_6521, _6577), -(distinct_points(_6521, _6632)), -(distinct_points(_6577, _6632))], clausify(apart4)).
% 0.57/1.42 cnf(8, plain, [distinct_lines(_6988, _7044), -(distinct_lines(_6988, _7099)), -(distinct_lines(_7044, _7099))], clausify(apart5)).
% 0.57/1.42 cnf(9, plain, [convergent_lines(_8527, _8592), apart_point_and_line(_8656, _8527), -(distinct_points(_8656, intersection_point(_8527, _8592)))], clausify(con2)).
% 0.57/1.42 cnf(10, plain, [convergent_lines(_8527, _8592), apart_point_and_line(_8656, _8592), -(distinct_points(_8656, intersection_point(_8527, _8592)))], clausify(con2)).
% 0.57/1.42 cnf(11, plain, [distinct_lines(_9289, _9366), distinct_points(_9132, _9211), -(apart_point_and_line(_9132, _9289)), -(apart_point_and_line(_9132, _9366)), -(apart_point_and_line(_9211, _9289)), -(apart_point_and_line(_9211, _9366))], clausify(cu1)).
% 0.57/1.42 cnf(12, plain, [convergent_lines(_10897, _10942), -(distinct_lines(_10897, _10942))], clausify(ceq3)).
% 0.57/1.42
% 0.57/1.42 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],start(3)).
% 0.57/1.42 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), distinct_lines(3 ^ [], 2 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 2 ^ []))],extension(11,bind([[_9132, _9289, _9211, _9366], [intersection_point(1 ^ [], 2 ^ []), 3 ^ [], intersection_point(3 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.1',plain,[-(distinct_lines(3 ^ [], 2 ^ [])), distinct_lines(3 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_6988, _7044, _7099], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1',plain,[-(distinct_lines(3 ^ [], 2 ^ [])), convergent_lines(3 ^ [], 2 ^ [])],extension(12,bind([[_10897, _10942], [3 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.1',plain,[-(convergent_lines(3 ^ [], 2 ^ []))],extension(2)).
% 0.57/1.42 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_6137], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ []))), distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ [])))],extension(7,bind([[_6577, _6521, _6632], [intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ [])]]))).
% 0.57/1.42 cnf('1.1.2.1',plain,[-(distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))), convergent_lines(1 ^ [], 2 ^ []), apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 1 ^ [])],extension(9,bind([[_8592, _8656, _8527], [2 ^ [], intersection_point(3 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.57/1.42 cnf('1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.57/1.42 cnf('1.1.2.1.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 1 ^ []))],extension(4)).
% 0.57/1.42 cnf('1.1.2.2',plain,[distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ []))],extension(5,bind([[_5945], [intersection_point(3 ^ [], 2 ^ [])]]))).
% 0.57/1.42 cnf('1.1.3',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([[_8656, _8527, _8592], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.57/1.42 cnf('1.1.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5945], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.57/1.42 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 3 ^ []), convergent_lines(3 ^ [], 2 ^ []), -(distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ [])))],extension(9,bind([[_8656, _8527, _8592], [intersection_point(3 ^ [], 2 ^ []), 3 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.4.1',plain,[-(convergent_lines(3 ^ [], 2 ^ []))],extension(2)).
% 0.57/1.42 cnf('1.1.4.2',plain,[distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ []))],extension(5,bind([[_5945], [intersection_point(3 ^ [], 2 ^ [])]]))).
% 0.57/1.42 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(3 ^ [], 2 ^ []), 2 ^ []), convergent_lines(3 ^ [], 2 ^ []), -(distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ [])))],extension(10,bind([[_8656, _8527, _8592], [intersection_point(3 ^ [], 2 ^ []), 3 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.5.1',plain,[-(convergent_lines(3 ^ [], 2 ^ []))],extension(2)).
% 0.57/1.42 cnf('1.1.5.2',plain,[distinct_points(intersection_point(3 ^ [], 2 ^ []), intersection_point(3 ^ [], 2 ^ []))],extension(5,bind([[_5945], [intersection_point(3 ^ [], 2 ^ [])]]))).
% 0.57/1.43 %-----------------------------------------------------
% 0.57/1.43
% 0.57/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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