TSTP Solution File: GEO200+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO200+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 05:03:35 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n014.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 08:51:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(con, conjecture, ! [_19772, _19775] : (distinct_points(_19772, _19775) => ~ distinct_lines(line_connecting(_19772, _19775), line_connecting(_19775, _19772))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/1.41 fof(apart1, axiom, ! [_19968] : ~ distinct_points(_19968, _19968), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.38/1.41 fof(apart4, axiom, ! [_20084, _20087, _20090] : (distinct_points(_20084, _20087) => distinct_points(_20084, _20090) | distinct_points(_20087, _20090)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.38/1.41 fof(con1, axiom, ! [_20271, _20274, _20277] : (distinct_points(_20271, _20274) => apart_point_and_line(_20277, line_connecting(_20271, _20274)) => distinct_points(_20277, _20271) & distinct_points(_20277, _20274)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.38/1.41 fof(cu1, axiom, ! [_20514, _20517, _20520, _20523] : (distinct_points(_20514, _20517) & distinct_lines(_20520, _20523) => apart_point_and_line(_20514, _20520) | apart_point_and_line(_20514, _20523) | apart_point_and_line(_20517, _20520) | apart_point_and_line(_20517, _20523)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.41 cnf(2, plain, [-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.38/1.41 cnf(3, plain, [distinct_points(_5817, _5817)], clausify(apart1)).
% 0.38/1.41 cnf(4, plain, [distinct_points(_6393, _6449), -(distinct_points(_6393, _6504)), -(distinct_points(_6449, _6504))], clausify(apart4)).
% 0.38/1.41 cnf(5, plain, [distinct_points(_7794, _7859), apart_point_and_line(_7923, line_connecting(_7794, _7859)), -(distinct_points(_7923, _7794))], clausify(con1)).
% 0.38/1.41 cnf(6, plain, [distinct_points(_7794, _7859), apart_point_and_line(_7923, line_connecting(_7794, _7859)), -(distinct_points(_7923, _7859))], clausify(con1)).
% 0.38/1.41 cnf(7, plain, [distinct_lines(_9161, _9238), distinct_points(_9004, _9083), -(apart_point_and_line(_9004, _9161)), -(apart_point_and_line(_9004, _9238)), -(apart_point_and_line(_9083, _9161)), -(apart_point_and_line(_9083, _9238))], clausify(cu1)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(3,bind([[_5817], [1 ^ []]]))).
% 0.38/1.41 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(4,bind([[_6393, _6449, _6504], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(4,bind([[_6393, _6449, _6504], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(3,bind([[_5817], [2 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(7,bind([[_9004, _9161, _9083, _9238], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.38/1.41 cnf('1.1.2.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])))],extension(2)).
% 0.38/1.41 cnf('1.1.2.2.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(5,bind([[_7859, _7923, _7794], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.2.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(3,bind([[_5817], [1 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.3',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_7794, _7923, _7859], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.38/1.41 cnf('1.1.2.2.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(3,bind([[_5817], [1 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_7794, _7923, _7859], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.41 cnf('1.1.2.2.4.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(3,bind([[_5817], [2 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.5',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(5,bind([[_7859, _7923, _7794], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.41 cnf('1.1.2.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.38/1.41 cnf('1.1.2.2.5.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(3,bind([[_5817], [2 ^ []]]))).
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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