TSTP Solution File: GEO172+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 05:03:12 EDT 2022
% Result : Theorem 0.33s 1.42s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n014.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 04:02:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.43
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.43 fof(con, conjecture, ! [_18822, _18825, _18828] : (convergent_lines(_18822, _18825) & ~ apart_point_and_line(_18828, _18822) & ~ apart_point_and_line(_18828, _18825) => ~ distinct_points(_18828, intersection_point(_18822, _18825))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.33/1.43 fof(apart1, axiom, ! [_19105] : ~ distinct_points(_19105, _19105), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.33/1.43 fof(apart2, axiom, ! [_19219] : ~ distinct_lines(_19219, _19219), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.33/1.43 fof(apart5, axiom, ! [_19335, _19338, _19341] : (distinct_lines(_19335, _19338) => distinct_lines(_19335, _19341) | distinct_lines(_19338, _19341)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.33/1.43 fof(con2, axiom, ! [_19523, _19526, _19529] : (convergent_lines(_19523, _19526) => apart_point_and_line(_19529, _19523) | apart_point_and_line(_19529, _19526) => distinct_points(_19529, intersection_point(_19523, _19526))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.33/1.43 fof(cu1, axiom, ! [_19764, _19767, _19770, _19773] : (distinct_points(_19764, _19767) & distinct_lines(_19770, _19773) => apart_point_and_line(_19764, _19770) | apart_point_and_line(_19764, _19773) | apart_point_and_line(_19767, _19770) | apart_point_and_line(_19767, _19773)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.33/1.43 fof(ceq3, axiom, ! [_20045, _20048] : (convergent_lines(_20045, _20048) => distinct_lines(_20045, _20048)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.33/1.43
% 0.33/1.43 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.43 cnf(2, plain, [apart_point_and_line(3 ^ [], 1 ^ [])], clausify(con)).
% 0.33/1.43 cnf(3, plain, [apart_point_and_line(3 ^ [], 2 ^ [])], clausify(con)).
% 0.33/1.43 cnf(4, plain, [-(distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.33/1.43 cnf(5, plain, [distinct_points(_5935, _5935)], clausify(apart1)).
% 0.33/1.43 cnf(6, plain, [distinct_lines(_6127, _6127)], clausify(apart2)).
% 0.33/1.43 cnf(7, plain, [distinct_lines(_6978, _7034), -(distinct_lines(_6978, _7089)), -(distinct_lines(_7034, _7089))], clausify(apart5)).
% 0.33/1.43 cnf(8, plain, [convergent_lines(_8517, _8582), apart_point_and_line(_8646, _8517), -(distinct_points(_8646, intersection_point(_8517, _8582)))], clausify(con2)).
% 0.33/1.43 cnf(9, plain, [convergent_lines(_8517, _8582), apart_point_and_line(_8646, _8582), -(distinct_points(_8646, intersection_point(_8517, _8582)))], clausify(con2)).
% 0.33/1.43 cnf(10, plain, [distinct_lines(_9279, _9356), distinct_points(_9122, _9201), -(apart_point_and_line(_9122, _9279)), -(apart_point_and_line(_9122, _9356)), -(apart_point_and_line(_9201, _9279)), -(apart_point_and_line(_9201, _9356))], clausify(cu1)).
% 0.33/1.43 cnf(11, plain, [convergent_lines(_10887, _10932), -(distinct_lines(_10887, _10932))], clausify(ceq3)).
% 0.33/1.43
% 0.33/1.43 cnf('1',plain,[apart_point_and_line(3 ^ [], 1 ^ [])],start(2)).
% 0.33/1.43 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(10,bind([[_9122, _9279, _9201, _9356], [3 ^ [], 1 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_6978, _7034, _7089], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(11,bind([[_10887, _10932], [1 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_6127], [2 ^ []]]))).
% 0.33/1.43 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])))],extension(4)).
% 0.33/1.43 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], 2 ^ [])],extension(3)).
% 0.33/1.43 cnf('1.1.4',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(8,bind([[_8646, _8517, _8582], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.4.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5935], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.33/1.43 cnf('1.1.5',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(9,bind([[_8646, _8517, _8582], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.5.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5935], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.44
% 0.33/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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