TSTP Solution File: GEO188+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 05:03:24 EDT 2022
% Result : Theorem 0.45s 1.42s
% Output : Proof 0.45s
% 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 : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n029.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 11:00:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.43
% 0.45/1.43 %-----------------------------------------------------
% 0.45/1.43 fof(con, conjecture, ! [_20060, _20063, _20066] : (distinct_points(_20060, _20063) & distinct_points(_20060, _20066) & distinct_points(_20063, _20066) & ~ apart_point_and_line(_20066, line_connecting(_20060, _20063)) => ~ apart_point_and_line(_20060, line_connecting(_20066, _20063))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.45/1.43 fof(apart1, axiom, ! [_20381] : ~ distinct_points(_20381, _20381), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.45/1.43 fof(apart4, axiom, ! [_20497, _20500, _20503] : (distinct_points(_20497, _20500) => distinct_points(_20497, _20503) | distinct_points(_20500, _20503)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.45/1.43 fof(ci1, axiom, ! [_20684, _20687] : (distinct_points(_20684, _20687) => ~ apart_point_and_line(_20684, line_connecting(_20684, _20687))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.45/1.43 fof(ci2, axiom, ! [_20853, _20856] : (distinct_points(_20853, _20856) => ~ apart_point_and_line(_20856, line_connecting(_20853, _20856))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.45/1.43 fof(cu1, axiom, ! [_21024, _21027, _21030, _21033] : (distinct_points(_21024, _21027) & distinct_lines(_21030, _21033) => apart_point_and_line(_21024, _21030) | apart_point_and_line(_21024, _21033) | apart_point_and_line(_21027, _21030) | apart_point_and_line(_21027, _21033)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.45/1.43 fof(ceq2, axiom, ! [_21305, _21308, _21311] : (apart_point_and_line(_21305, _21308) => distinct_lines(_21308, _21311) | apart_point_and_line(_21305, _21311)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.45/1.43
% 0.45/1.43 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.45/1.43 cnf(2, plain, [-(distinct_points(2 ^ [], 3 ^ []))], clausify(con)).
% 0.45/1.43 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.45/1.43 cnf(4, plain, [-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ [])))], clausify(con)).
% 0.45/1.43 cnf(5, plain, [distinct_points(_6247, _6247)], clausify(apart1)).
% 0.45/1.43 cnf(6, plain, [distinct_points(_6823, _6879), -(distinct_points(_6823, _6934)), -(distinct_points(_6879, _6934))], clausify(apart4)).
% 0.45/1.43 cnf(7, plain, [distinct_points(_8224, _8274), apart_point_and_line(_8224, line_connecting(_8224, _8274))], clausify(ci1)).
% 0.45/1.43 cnf(8, plain, [distinct_points(_8597, _8647), apart_point_and_line(_8647, line_connecting(_8597, _8647))], clausify(ci2)).
% 0.45/1.43 cnf(9, plain, [distinct_lines(_9873, _9950), distinct_points(_9716, _9795), -(apart_point_and_line(_9716, _9873)), -(apart_point_and_line(_9716, _9950)), -(apart_point_and_line(_9795, _9873)), -(apart_point_and_line(_9795, _9950))], clausify(cu1)).
% 0.45/1.43 cnf(10, plain, [apart_point_and_line(_11024, _11080), -(distinct_lines(_11080, _11135)), -(apart_point_and_line(_11024, _11135))], clausify(ceq2)).
% 0.45/1.43
% 0.45/1.43 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.45/1.43 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_9716, _9873, _9795, _9950], [3 ^ [], line_connecting(3 ^ [], 2 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.45/1.43 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(3 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ [])), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_11080, _11024, _11135], [line_connecting(3 ^ [], 2 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.45/1.43 cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(4)).
% 0.45/1.43 cnf('1.1.1.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8224, _8274], [1 ^ [], 2 ^ []]]))).
% 0.45/1.43 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.45/1.43 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_6879, _6823, _6934], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.45/1.43 cnf('1.1.2.1',plain,[-(distinct_points(2 ^ [], 3 ^ []))],extension(2)).
% 0.45/1.43 cnf('1.1.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_6247], [2 ^ []]]))).
% 0.45/1.43 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ [])],extension(7,bind([[_8224, _8274], [3 ^ [], 2 ^ []]]))).
% 0.45/1.43 cnf('1.1.3.1',plain,[-(distinct_points(3 ^ [], 2 ^ []))],lemmata('1.1')).
% 0.45/1.43 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ [])],extension(8,bind([[_8597, _8647], [3 ^ [], 2 ^ []]]))).
% 0.45/1.43 cnf('1.1.4.1',plain,[-(distinct_points(3 ^ [], 2 ^ []))],lemmata('1.1')).
% 0.45/1.43 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(8,bind([[_8597, _8647], [1 ^ [], 2 ^ []]]))).
% 0.45/1.43 cnf('1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.45/1.43 %-----------------------------------------------------
% 0.45/1.43
% 0.45/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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