TSTP Solution File: GEO187+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 05:03:23 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n016.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 : Fri Jun 17 21:05:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(con, conjecture, ! [_20717, _20720, _20723, _20726] : (distinct_points(_20717, _20720) & distinct_points(_20723, _20726) & ~ apart_point_and_line(_20717, line_connecting(_20723, _20726)) & ~ apart_point_and_line(_20720, line_connecting(_20723, _20726)) => ~ apart_point_and_line(_20723, line_connecting(_20717, _20720)) & ~ apart_point_and_line(_20726, line_connecting(_20717, _20720))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.37/1.42 fof(ci1, axiom, ! [_21139, _21142] : (distinct_points(_21139, _21142) => ~ apart_point_and_line(_21139, line_connecting(_21139, _21142))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.37/1.42 fof(ci2, axiom, ! [_21308, _21311] : (distinct_points(_21308, _21311) => ~ apart_point_and_line(_21311, line_connecting(_21308, _21311))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.37/1.42 fof(cu1, axiom, ! [_21479, _21482, _21485, _21488] : (distinct_points(_21479, _21482) & distinct_lines(_21485, _21488) => apart_point_and_line(_21479, _21485) | apart_point_and_line(_21479, _21488) | apart_point_and_line(_21482, _21485) | apart_point_and_line(_21482, _21488)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.37/1.42 fof(ceq2, axiom, ! [_21760, _21763, _21766] : (apart_point_and_line(_21760, _21763) => distinct_lines(_21763, _21766) | apart_point_and_line(_21760, _21766)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.37/1.42 cnf(2, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 0.37/1.42 cnf(3, plain, [apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))], clausify(con)).
% 0.37/1.42 cnf(4, plain, [apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))], clausify(con)).
% 0.37/1.42 cnf(5, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.37/1.42 cnf(6, plain, [distinct_points(_8350, _8400), apart_point_and_line(_8350, line_connecting(_8350, _8400))], clausify(ci1)).
% 0.37/1.42 cnf(7, plain, [distinct_points(_8723, _8773), apart_point_and_line(_8773, line_connecting(_8723, _8773))], clausify(ci2)).
% 0.37/1.42 cnf(8, plain, [distinct_lines(_9999, _10076), distinct_points(_9842, _9921), -(apart_point_and_line(_9842, _9999)), -(apart_point_and_line(_9842, _10076)), -(apart_point_and_line(_9921, _9999)), -(apart_point_and_line(_9921, _10076))], clausify(cu1)).
% 0.37/1.42 cnf(9, plain, [apart_point_and_line(_11150, _11206), -(distinct_lines(_11206, _11261)), -(apart_point_and_line(_11150, _11261))], clausify(ceq2)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))],start(3)).
% 0.37/1.42 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(8,bind([[_9842, _9999, _9921, _10076], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(9,bind([[_11206, _11150, _11261], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(5)).
% 0.37/1.42 cnf('1.1.1.1.1',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(9,bind([[_11206, _11150, _11261], [line_connecting(1 ^ [], 2 ^ []), 4 ^ [], line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1.1.1.1',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.37/1.42 cnf('1.1.1.1.1.2',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ [])],extension(7,bind([[_8723, _8773], [3 ^ [], 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.1.1.2.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.37/1.42 cnf('1.1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ [])],extension(6,bind([[_8350, _8400], [3 ^ [], 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.2.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.37/1.42 cnf('1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8350, _8400], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8723, _8773], [1 ^ [], 2 ^ []]]))).
% 0.37/1.42 cnf('1.1.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(4)).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.43
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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