TSTP Solution File: GEO190+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 0.34s 1.39s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.11 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 06:54:03 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.34/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.40
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 fof(con, conjecture, ! [_21223, _21226, _21229] : (distinct_points(_21223, _21226) & distinct_points(_21223, _21229) & distinct_points(_21226, _21229) & ~ apart_point_and_line(_21229, line_connecting(_21223, _21226)) => ~ apart_point_and_line(_21229, line_connecting(_21226, _21223))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.34/1.40 fof(apart1, axiom, ! [_21534] : ~ distinct_points(_21534, _21534), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.34/1.40 fof(apart4, axiom, ! [_21650, _21653, _21656] : (distinct_points(_21650, _21653) => distinct_points(_21650, _21656) | distinct_points(_21653, _21656)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.34/1.40 fof(con1, axiom, ! [_21837, _21840, _21843] : (distinct_points(_21837, _21840) => apart_point_and_line(_21843, line_connecting(_21837, _21840)) => distinct_points(_21843, _21837) & distinct_points(_21843, _21840)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.34/1.40 fof(cu1, axiom, ! [_22080, _22083, _22086, _22089] : (distinct_points(_22080, _22083) & distinct_lines(_22086, _22089) => apart_point_and_line(_22080, _22086) | apart_point_and_line(_22080, _22089) | apart_point_and_line(_22083, _22086) | apart_point_and_line(_22083, _22089)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.34/1.40 fof(ceq2, axiom, ! [_22362, _22365, _22368] : (apart_point_and_line(_22362, _22365) => distinct_lines(_22365, _22368) | apart_point_and_line(_22362, _22368)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.34/1.40
% 0.34/1.40 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.34/1.40 cnf(2, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.34/1.40 cnf(3, plain, [-(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.34/1.40 cnf(4, plain, [distinct_points(_5977, _5977)], clausify(apart1)).
% 0.34/1.40 cnf(5, plain, [distinct_points(_6553, _6609), -(distinct_points(_6553, _6664)), -(distinct_points(_6609, _6664))], clausify(apart4)).
% 0.34/1.40 cnf(6, plain, [distinct_points(_7954, _8019), apart_point_and_line(_8083, line_connecting(_7954, _8019)), -(distinct_points(_8083, _7954))], clausify(con1)).
% 0.34/1.40 cnf(7, plain, [distinct_points(_7954, _8019), apart_point_and_line(_8083, line_connecting(_7954, _8019)), -(distinct_points(_8083, _8019))], clausify(con1)).
% 0.34/1.40 cnf(8, plain, [distinct_lines(_9321, _9398), distinct_points(_9164, _9243), -(apart_point_and_line(_9164, _9321)), -(apart_point_and_line(_9164, _9398)), -(apart_point_and_line(_9243, _9321)), -(apart_point_and_line(_9243, _9398))], clausify(cu1)).
% 0.34/1.40 cnf(9, plain, [apart_point_and_line(_10472, _10528), -(distinct_lines(_10528, _10583)), -(apart_point_and_line(_10472, _10583))], clausify(ceq2)).
% 0.34/1.40
% 0.34/1.40 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(4,bind([[_5977], [1 ^ []]]))).
% 0.34/1.40 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_6553, _6609, _6664], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.34/1.40 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.40 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6553, _6609, _6664], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5977], [2 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), distinct_lines(line_connecting(2 ^ [], 1 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_9164, _9321, _9243, _9398], [1 ^ [], line_connecting(2 ^ [], 1 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.34/1.40 cnf('1.1.2.2.1',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([[_10528, _10472, _10583], [line_connecting(2 ^ [], 1 ^ []), 3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.34/1.40 cnf('1.1.2.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(3)).
% 0.34/1.40 cnf('1.1.2.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.40 cnf('1.1.2.2.2',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_7954, _8083, _8019], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.2.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.34/1.40 cnf('1.1.2.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5977], [1 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_8019, _8083, _7954], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.40 cnf('1.1.2.2.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5977], [1 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_8019, _8083, _7954], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.4.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.34/1.40 cnf('1.1.2.2.4.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5977], [2 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7954, _8083, _8019], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.34/1.40 cnf('1.1.2.2.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.40 cnf('1.1.2.2.5.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5977], [2 ^ []]]))).
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.41
% 0.34/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------