TSTP Solution File: GEO184+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO184+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 05:03:21 EDT 2022
% Result : Theorem 0.32s 1.39s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO184+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.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 : Fri Jun 17 21:41:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(con, conjecture, ! [_18162, _18165, _18168, _18171] : (distinct_points(_18162, _18165) & convergent_lines(_18168, _18171) & ~ apart_point_and_line(_18162, _18168) & ~ apart_point_and_line(_18165, _18168) => ~ distinct_lines(_18168, line_connecting(_18162, _18165))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.32/1.41 fof(apart1, axiom, ! [_18485] : ~ distinct_points(_18485, _18485), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.32/1.41 fof(con1, axiom, ! [_18604, _18607, _18610] : (distinct_points(_18604, _18607) => apart_point_and_line(_18610, line_connecting(_18604, _18607)) => distinct_points(_18610, _18604) & distinct_points(_18610, _18607)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.32/1.41 fof(cu1, axiom, ! [_18847, _18850, _18853, _18856] : (distinct_points(_18847, _18850) & distinct_lines(_18853, _18856) => apart_point_and_line(_18847, _18853) | apart_point_and_line(_18847, _18856) | apart_point_and_line(_18850, _18853) | apart_point_and_line(_18850, _18856)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.41 cnf(2, plain, [apart_point_and_line(1 ^ [], 3 ^ [])], clausify(con)).
% 0.32/1.41 cnf(3, plain, [apart_point_and_line(2 ^ [], 3 ^ [])], clausify(con)).
% 0.32/1.41 cnf(4, plain, [-(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.32/1.41 cnf(5, plain, [distinct_points(_6001, _6001)], clausify(apart1)).
% 0.32/1.41 cnf(6, plain, [distinct_points(_7978, _8043), apart_point_and_line(_8107, line_connecting(_7978, _8043)), -(distinct_points(_8107, _7978))], clausify(con1)).
% 0.32/1.41 cnf(7, plain, [distinct_points(_7978, _8043), apart_point_and_line(_8107, line_connecting(_7978, _8043)), -(distinct_points(_8107, _8043))], clausify(con1)).
% 0.32/1.41 cnf(8, plain, [distinct_lines(_9345, _9422), distinct_points(_9188, _9267), -(apart_point_and_line(_9188, _9345)), -(apart_point_and_line(_9188, _9422)), -(apart_point_and_line(_9267, _9345)), -(apart_point_and_line(_9267, _9422))], clausify(cu1)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[apart_point_and_line(1 ^ [], 3 ^ [])],start(2)).
% 0.32/1.41 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], 3 ^ [])), distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_9188, _9345, _9267, _9422], [1 ^ [], 3 ^ [], 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(distinct_lines(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(4)).
% 0.32/1.41 cnf('1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_8043, _8107, _7978], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_6001], [1 ^ []]]))).
% 0.32/1.41 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], 3 ^ [])],extension(3)).
% 0.32/1.41 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7978, _8107, _8043], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.5.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_6001], [2 ^ []]]))).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41
% 0.32/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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