TSTP Solution File: GEO190+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 05:03:26 EDT 2022
% Result : Theorem 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 03:42:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.40
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.40 fof(con, conjecture, ! [_20099, _20102, _20105] : (distinct_points(_20099, _20102) & distinct_points(_20099, _20105) & distinct_points(_20102, _20105) & ~ apart_point_and_line(_20105, line_connecting(_20099, _20102)) => ~ apart_point_and_line(_20105, line_connecting(_20102, _20099))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.33/1.40 fof(apart1, axiom, ! [_20410] : ~ distinct_points(_20410, _20410), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.33/1.40 fof(apart4, axiom, ! [_20526, _20529, _20532] : (distinct_points(_20526, _20529) => distinct_points(_20526, _20532) | distinct_points(_20529, _20532)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.33/1.40 fof(ci1, axiom, ! [_20713, _20716] : (distinct_points(_20713, _20716) => ~ apart_point_and_line(_20713, line_connecting(_20713, _20716))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.33/1.40 fof(ci2, axiom, ! [_20882, _20885] : (distinct_points(_20882, _20885) => ~ apart_point_and_line(_20885, line_connecting(_20882, _20885))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.33/1.40 fof(cu1, axiom, ! [_21053, _21056, _21059, _21062] : (distinct_points(_21053, _21056) & distinct_lines(_21059, _21062) => apart_point_and_line(_21053, _21059) | apart_point_and_line(_21053, _21062) | apart_point_and_line(_21056, _21059) | apart_point_and_line(_21056, _21062)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.33/1.40 fof(ceq2, axiom, ! [_21334, _21337, _21340] : (apart_point_and_line(_21334, _21337) => distinct_lines(_21337, _21340) | apart_point_and_line(_21334, _21340)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.33/1.40
% 0.33/1.40 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.40 cnf(2, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.40 cnf(3, plain, [-(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.33/1.40 cnf(4, plain, [distinct_points(_6279, _6279)], clausify(apart1)).
% 0.33/1.40 cnf(5, plain, [distinct_points(_6855, _6911), -(distinct_points(_6855, _6966)), -(distinct_points(_6911, _6966))], clausify(apart4)).
% 0.33/1.40 cnf(6, plain, [distinct_points(_8256, _8306), apart_point_and_line(_8256, line_connecting(_8256, _8306))], clausify(ci1)).
% 0.33/1.40 cnf(7, plain, [distinct_points(_8629, _8679), apart_point_and_line(_8679, line_connecting(_8629, _8679))], clausify(ci2)).
% 0.33/1.40 cnf(8, plain, [distinct_lines(_9905, _9982), distinct_points(_9748, _9827), -(apart_point_and_line(_9748, _9905)), -(apart_point_and_line(_9748, _9982)), -(apart_point_and_line(_9827, _9905)), -(apart_point_and_line(_9827, _9982))], clausify(cu1)).
% 0.33/1.40 cnf(9, plain, [apart_point_and_line(_11056, _11112), -(distinct_lines(_11112, _11167)), -(apart_point_and_line(_11056, _11167))], clausify(ceq2)).
% 0.33/1.40
% 0.33/1.40 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(4,bind([[_6279], [1 ^ []]]))).
% 0.33/1.40 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_6855, _6911, _6966], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.33/1.40 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.40 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), distinct_lines(line_connecting(2 ^ [], 1 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_9748, _9905, _9827, _9982], [2 ^ [], line_connecting(2 ^ [], 1 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.33/1.40 cnf('1.1.2.1',plain,[-(distinct_lines(line_connecting(2 ^ [], 1 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_11112, _11056, _11167], [line_connecting(2 ^ [], 1 ^ []), 3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.33/1.40 cnf('1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(3)).
% 0.33/1.40 cnf('1.1.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(2)).
% 0.33/1.40 cnf('1.1.2.2',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(6,bind([[_8256, _8306], [2 ^ [], 1 ^ []]]))).
% 0.33/1.40 cnf('1.1.2.2.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.33/1.40 cnf('1.1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8629, _8679], [1 ^ [], 2 ^ []]]))).
% 0.33/1.40 cnf('1.1.2.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.40 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(7,bind([[_8629, _8679], [2 ^ [], 1 ^ []]]))).
% 0.33/1.40 cnf('1.1.2.4.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.33/1.40 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8256, _8306], [1 ^ [], 2 ^ []]]))).
% 0.33/1.40 cnf('1.1.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.41
% 0.33/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------