TSTP Solution File: GEO198+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO198+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 05:03:33 EDT 2022
% Result : Theorem 0.69s 1.38s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 07:32:04 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.69/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.38
% 0.76/1.38 %-----------------------------------------------------
% 0.76/1.38 fof(con, conjecture, ! [_21002, _21005, _21008] : (convergent_lines(_21002, _21005) & convergent_lines(_21008, _21005) & convergent_lines(_21002, _21008) & ~ apart_point_and_line(intersection_point(_21002, _21005), _21008) => ~ apart_point_and_line(intersection_point(_21002, _21008), _21005)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.76/1.38 fof(apart1, axiom, ! [_21323] : ~ distinct_points(_21323, _21323), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.76/1.38 fof(apart2, axiom, ! [_21437] : ~ distinct_lines(_21437, _21437), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.76/1.38 fof(apart4, axiom, ! [_21552, _21555, _21558] : (distinct_points(_21552, _21555) => distinct_points(_21552, _21558) | distinct_points(_21555, _21558)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.76/1.38 fof(apart5, axiom, ! [_21737, _21740, _21743] : (distinct_lines(_21737, _21740) => distinct_lines(_21737, _21743) | distinct_lines(_21740, _21743)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.76/1.38 fof(con2, axiom, ! [_21925, _21928, _21931] : (convergent_lines(_21925, _21928) => apart_point_and_line(_21931, _21925) | apart_point_and_line(_21931, _21928) => distinct_points(_21931, intersection_point(_21925, _21928))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.76/1.38 fof(cu1, axiom, ! [_22166, _22169, _22172, _22175] : (distinct_points(_22166, _22169) & distinct_lines(_22172, _22175) => apart_point_and_line(_22166, _22172) | apart_point_and_line(_22166, _22175) | apart_point_and_line(_22169, _22172) | apart_point_and_line(_22169, _22175)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.76/1.38 fof(ceq3, axiom, ! [_22447, _22450] : (convergent_lines(_22447, _22450) => distinct_lines(_22447, _22450)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.76/1.38
% 0.76/1.38 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.76/1.38 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.76/1.38 cnf(3, plain, [apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])], clausify(con)).
% 0.76/1.38 cnf(4, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []))], clausify(con)).
% 0.76/1.38 cnf(5, plain, [distinct_points(_5945, _5945)], clausify(apart1)).
% 0.76/1.38 cnf(6, plain, [distinct_lines(_6137, _6137)], clausify(apart2)).
% 0.76/1.38 cnf(7, plain, [distinct_points(_6521, _6577), -(distinct_points(_6521, _6632)), -(distinct_points(_6577, _6632))], clausify(apart4)).
% 0.76/1.38 cnf(8, plain, [distinct_lines(_6988, _7044), -(distinct_lines(_6988, _7099)), -(distinct_lines(_7044, _7099))], clausify(apart5)).
% 0.76/1.38 cnf(9, plain, [convergent_lines(_8527, _8592), apart_point_and_line(_8656, _8527), -(distinct_points(_8656, intersection_point(_8527, _8592)))], clausify(con2)).
% 0.76/1.38 cnf(10, plain, [convergent_lines(_8527, _8592), apart_point_and_line(_8656, _8592), -(distinct_points(_8656, intersection_point(_8527, _8592)))], clausify(con2)).
% 0.76/1.38 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)).
% 0.76/1.38 cnf(12, plain, [convergent_lines(_10897, _10942), -(distinct_lines(_10897, _10942))], clausify(ceq3)).
% 0.76/1.38
% 0.76/1.38 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],start(3)).
% 0.76/1.38 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), distinct_lines(3 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []))],extension(11,bind([[_9132, _9289, _9211, _9366], [intersection_point(1 ^ [], 2 ^ []), 3 ^ [], intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.76/1.38 cnf('1.1.1',plain,[-(distinct_lines(3 ^ [], 1 ^ [])), distinct_lines(1 ^ [], 3 ^ []), -(distinct_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7044, _6988, _7099], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.76/1.38 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), convergent_lines(1 ^ [], 3 ^ [])],extension(12,bind([[_10897, _10942], [1 ^ [], 3 ^ []]]))).
% 0.76/1.38 cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.76/1.38 cnf('1.1.1.2',plain,[distinct_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6137], [1 ^ []]]))).
% 0.76/1.38 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(7,bind([[_6577, _6521, _6632], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.76/1.38 cnf('1.1.2.1',plain,[-(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []))), convergent_lines(1 ^ [], 2 ^ []), apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])],extension(10,bind([[_8527, _8656, _8592], [1 ^ [], intersection_point(1 ^ [], 3 ^ []), 2 ^ []]]))).
% 0.76/1.38 cnf('1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.76/1.38 cnf('1.1.2.1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []))],extension(4)).
% 0.76/1.38 cnf('1.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5945], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.76/1.38 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([[_8656, _8527, _8592], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.76/1.38 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.76/1.38 cnf('1.1.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5945], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.76/1.38 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(10,bind([[_8656, _8527, _8592], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 0.76/1.38 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.76/1.38 cnf('1.1.4.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5945], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.76/1.38 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(9,bind([[_8656, _8527, _8592], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 0.76/1.38 cnf('1.1.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.76/1.38 cnf('1.1.5.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5945], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.76/1.38 %-----------------------------------------------------
% 0.76/1.39
% 0.76/1.39 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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