TSTP Solution File: GEO172+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 05:03:11 EDT 2022
% Result : Theorem 0.42s 1.44s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 01:28:19 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.42/1.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.45
% 0.42/1.45 %-----------------------------------------------------
% 0.42/1.45 fof(con, conjecture, ! [_18520, _18523, _18526] : (convergent_lines(_18520, _18523) & ~ apart_point_and_line(_18526, _18520) & ~ apart_point_and_line(_18526, _18523) => ~ distinct_points(_18526, intersection_point(_18520, _18523))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.42/1.45 fof(apart3, axiom, ! [_18805] : ~ convergent_lines(_18805, _18805), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.42/1.45 fof(ci3, axiom, ! [_18924, _18927] : (convergent_lines(_18924, _18927) => ~ apart_point_and_line(intersection_point(_18924, _18927), _18924)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.42/1.45 fof(ci4, axiom, ! [_19093, _19096] : (convergent_lines(_19093, _19096) => ~ apart_point_and_line(intersection_point(_19093, _19096), _19096)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.42/1.45 fof(cu1, axiom, ! [_19262, _19265, _19268, _19271] : (distinct_points(_19262, _19265) & distinct_lines(_19268, _19271) => apart_point_and_line(_19262, _19268) | apart_point_and_line(_19262, _19271) | apart_point_and_line(_19265, _19268) | apart_point_and_line(_19265, _19271)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.42/1.45 fof(ceq3, axiom, ! [_19544, _19547, _19550] : (convergent_lines(_19544, _19547) => distinct_lines(_19547, _19550) | convergent_lines(_19544, _19550)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.42/1.45
% 0.42/1.45 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.42/1.45 cnf(2, plain, [apart_point_and_line(3 ^ [], 1 ^ [])], clausify(con)).
% 0.42/1.45 cnf(3, plain, [apart_point_and_line(3 ^ [], 2 ^ [])], clausify(con)).
% 0.42/1.45 cnf(4, plain, [-(distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.42/1.45 cnf(5, plain, [convergent_lines(_6589, _6589)], clausify(apart3)).
% 0.42/1.45 cnf(6, plain, [convergent_lines(_8928, _8978), apart_point_and_line(intersection_point(_8928, _8978), _8928)], clausify(ci3)).
% 0.42/1.45 cnf(7, plain, [convergent_lines(_9301, _9351), apart_point_and_line(intersection_point(_9301, _9351), _9351)], clausify(ci4)).
% 0.42/1.45 cnf(8, plain, [distinct_lines(_9831, _9908), distinct_points(_9674, _9753), -(apart_point_and_line(_9674, _9831)), -(apart_point_and_line(_9674, _9908)), -(apart_point_and_line(_9753, _9831)), -(apart_point_and_line(_9753, _9908))], clausify(cu1)).
% 0.42/1.45 cnf(9, plain, [convergent_lines(_11439, _11495), -(distinct_lines(_11495, _11550)), -(convergent_lines(_11439, _11550))], clausify(ceq3)).
% 0.42/1.45
% 0.42/1.45 cnf('1',plain,[apart_point_and_line(3 ^ [], 1 ^ [])],start(2)).
% 0.42/1.45 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(8,bind([[_9674, _9831, _9753, _9908], [3 ^ [], 2 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.42/1.45 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(9,bind([[_11495, _11439, _11550], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.42/1.45 cnf('1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.45 cnf('1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_6589], [1 ^ []]]))).
% 0.42/1.45 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])))],extension(4)).
% 0.42/1.45 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], 2 ^ [])],extension(3)).
% 0.42/1.45 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_9301, _9351], [1 ^ [], 2 ^ []]]))).
% 0.42/1.45 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.45 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_8928, _8978], [1 ^ [], 2 ^ []]]))).
% 0.42/1.45 cnf('1.1.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.45 %-----------------------------------------------------
% 0.42/1.46
% 0.42/1.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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