TSTP Solution File: GEO182+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 05:03:19 EDT 2022
% Result : Theorem 0.32s 1.41s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 02:31:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(con, conjecture, ! [_19577, _19580, _19583] : (distinct_points(_19577, _19580) => apart_point_and_line(_19583, line_connecting(_19577, _19580)) => apart_point_and_line(_19583, line_connecting(_19580, _19577))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.32/1.42 fof(apart1, axiom, ! [_19816] : ~ distinct_points(_19816, _19816), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.32/1.42 fof(apart4, axiom, ! [_19932, _19935, _19938] : (distinct_points(_19932, _19935) => distinct_points(_19932, _19938) | distinct_points(_19935, _19938)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.32/1.42 fof(ci1, axiom, ! [_20119, _20122] : (distinct_points(_20119, _20122) => ~ apart_point_and_line(_20119, line_connecting(_20119, _20122))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.32/1.42 fof(ci2, axiom, ! [_20288, _20291] : (distinct_points(_20288, _20291) => ~ apart_point_and_line(_20291, line_connecting(_20288, _20291))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.32/1.42 fof(cu1, axiom, ! [_20459, _20462, _20465, _20468] : (distinct_points(_20459, _20462) & distinct_lines(_20465, _20468) => apart_point_and_line(_20459, _20465) | apart_point_and_line(_20459, _20468) | apart_point_and_line(_20462, _20465) | apart_point_and_line(_20462, _20468)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.32/1.42 fof(ceq2, axiom, ! [_20740, _20743, _20746] : (apart_point_and_line(_20740, _20743) => distinct_lines(_20743, _20746) | apart_point_and_line(_20740, _20746)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.42 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.32/1.42 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))], clausify(con)).
% 0.32/1.42 cnf(4, plain, [distinct_points(_6171, _6171)], clausify(apart1)).
% 0.32/1.42 cnf(5, plain, [distinct_points(_6747, _6803), -(distinct_points(_6747, _6858)), -(distinct_points(_6803, _6858))], clausify(apart4)).
% 0.32/1.42 cnf(6, plain, [distinct_points(_8148, _8198), apart_point_and_line(_8148, line_connecting(_8148, _8198))], clausify(ci1)).
% 0.32/1.42 cnf(7, plain, [distinct_points(_8521, _8571), apart_point_and_line(_8571, line_connecting(_8521, _8571))], clausify(ci2)).
% 0.32/1.42 cnf(8, plain, [distinct_lines(_9797, _9874), distinct_points(_9640, _9719), -(apart_point_and_line(_9640, _9797)), -(apart_point_and_line(_9640, _9874)), -(apart_point_and_line(_9719, _9797)), -(apart_point_and_line(_9719, _9874))], clausify(cu1)).
% 0.32/1.42 cnf(9, plain, [apart_point_and_line(_10948, _11004), -(distinct_lines(_11004, _11059)), -(apart_point_and_line(_10948, _11059))], clausify(ceq2)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(4,bind([[_6171], [1 ^ []]]))).
% 0.32/1.42 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_6747, _6803, _6858], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.32/1.42 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(8,bind([[_9640, _9797, _9719, _9874], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.32/1.42 cnf('1.1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(9,bind([[_11004, _10948, _11059], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.32/1.42 cnf('1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.42 cnf('1.1.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))],extension(3)).
% 0.32/1.42 cnf('1.1.2.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8521, _8571], [1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(6,bind([[_8148, _8198], [2 ^ [], 1 ^ []]]))).
% 0.32/1.42 cnf('1.1.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.32/1.42 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8148, _8198], [1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(7,bind([[_8521, _8571], [2 ^ [], 1 ^ []]]))).
% 0.32/1.42 cnf('1.1.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.43
% 0.32/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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