TSTP Solution File: GEO182+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 05:03:20 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 04:02:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % 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, ! [_40376, _40379, _40382] : (distinct_points(_40376, _40379) => apart_point_and_line(_40382, line_connecting(_40376, _40379)) => apart_point_and_line(_40382, line_connecting(_40379, _40376))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.32/1.41 fof(apart1, axiom, ! [_40615] : ~ distinct_points(_40615, _40615), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.32/1.41 fof(apart4, axiom, ! [_40731, _40734, _40737] : (distinct_points(_40731, _40734) => distinct_points(_40731, _40737) | distinct_points(_40734, _40737)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.32/1.41 fof(ci1, axiom, ! [_40918, _40921] : (distinct_points(_40918, _40921) => ~ apart_point_and_line(_40918, line_connecting(_40918, _40921))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.32/1.41 fof(ci2, axiom, ! [_41087, _41090] : (distinct_points(_41087, _41090) => ~ apart_point_and_line(_41090, line_connecting(_41087, _41090))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.32/1.41 fof(cu1, axiom, ! [_41258, _41261, _41264, _41267] : (distinct_points(_41258, _41261) & distinct_lines(_41264, _41267) => apart_point_and_line(_41258, _41264) | apart_point_and_line(_41258, _41267) | apart_point_and_line(_41261, _41264) | apart_point_and_line(_41261, _41267)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.32/1.41 fof(ceq2, axiom, ! [_41539, _41542, _41545] : (apart_point_and_line(_41539, _41542) => distinct_lines(_41542, _41545) | apart_point_and_line(_41539, _41545)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 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(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.32/1.41 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))], clausify(con)).
% 0.32/1.41 cnf(4, plain, [distinct_points(_12307, _12307)], clausify(apart1)).
% 0.32/1.41 cnf(5, plain, [distinct_points(_12883, _12939), -(distinct_points(_12883, _12994)), -(distinct_points(_12939, _12994))], clausify(apart4)).
% 0.32/1.41 cnf(6, plain, [distinct_points(_14284, _14334), apart_point_and_line(_14284, line_connecting(_14284, _14334))], clausify(ci1)).
% 0.32/1.41 cnf(7, plain, [distinct_points(_14657, _14707), apart_point_and_line(_14707, line_connecting(_14657, _14707))], clausify(ci2)).
% 0.32/1.41 cnf(8, plain, [distinct_lines(_15933, _16010), distinct_points(_15776, _15855), -(apart_point_and_line(_15776, _15933)), -(apart_point_and_line(_15776, _16010)), -(apart_point_and_line(_15855, _15933)), -(apart_point_and_line(_15855, _16010))], clausify(cu1)).
% 0.32/1.41 cnf(9, plain, [apart_point_and_line(_17084, _17140), -(distinct_lines(_17140, _17195)), -(apart_point_and_line(_17084, _17195))], clausify(ceq2)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(4,bind([[_12307], [1 ^ []]]))).
% 0.32/1.41 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_12883, _12939, _12994], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 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([[_15776, _15933, _15855, _16010], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.32/1.41 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([[_17140, _17084, _17195], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.32/1.41 cnf('1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.41 cnf('1.1.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))],extension(3)).
% 0.32/1.41 cnf('1.1.2.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_14657, _14707], [1 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(6,bind([[_14284, _14334], [2 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.32/1.41 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_14284, _14334], [1 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(7,bind([[_14657, _14707], [2 ^ [], 1 ^ []]]))).
% 0.32/1.41 cnf('1.1.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 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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