TSTP Solution File: GEO188+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 0.57s 1.41s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 14:00:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/1.42
% 0.57/1.42 %-----------------------------------------------------
% 0.57/1.42 fof(con, conjecture, ! [_23785, _23788, _23791] : (distinct_points(_23785, _23788) & distinct_points(_23785, _23791) & distinct_points(_23788, _23791) & ~ apart_point_and_line(_23791, line_connecting(_23785, _23788)) => ~ apart_point_and_line(_23785, line_connecting(_23791, _23788))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.57/1.42 fof(apart1, axiom, ! [_24106] : ~ distinct_points(_24106, _24106), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.57/1.42 fof(apart4, axiom, ! [_24222, _24225, _24228] : (distinct_points(_24222, _24225) => distinct_points(_24222, _24228) | distinct_points(_24225, _24228)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.57/1.42 fof(con1, axiom, ! [_24409, _24412, _24415] : (distinct_points(_24409, _24412) => apart_point_and_line(_24415, line_connecting(_24409, _24412)) => distinct_points(_24415, _24409) & distinct_points(_24415, _24412)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.57/1.42 fof(cu1, axiom, ! [_24652, _24655, _24658, _24661] : (distinct_points(_24652, _24655) & distinct_lines(_24658, _24661) => apart_point_and_line(_24652, _24658) | apart_point_and_line(_24652, _24661) | apart_point_and_line(_24655, _24658) | apart_point_and_line(_24655, _24661)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.57/1.42 fof(ceq2, axiom, ! [_24934, _24937, _24940] : (apart_point_and_line(_24934, _24937) => distinct_lines(_24937, _24940) | apart_point_and_line(_24934, _24940)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.57/1.42
% 0.57/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.57/1.42 cnf(2, plain, [-(distinct_points(2 ^ [], 3 ^ []))], clausify(con)).
% 0.57/1.42 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.57/1.42 cnf(4, plain, [-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ [])))], clausify(con)).
% 0.57/1.42 cnf(5, plain, [distinct_points(_5945, _5945)], clausify(apart1)).
% 0.57/1.42 cnf(6, plain, [distinct_points(_6521, _6577), -(distinct_points(_6521, _6632)), -(distinct_points(_6577, _6632))], clausify(apart4)).
% 0.57/1.42 cnf(7, plain, [distinct_points(_7922, _7987), apart_point_and_line(_8051, line_connecting(_7922, _7987)), -(distinct_points(_8051, _7922))], clausify(con1)).
% 0.57/1.42 cnf(8, plain, [distinct_points(_7922, _7987), apart_point_and_line(_8051, line_connecting(_7922, _7987)), -(distinct_points(_8051, _7987))], clausify(con1)).
% 0.57/1.42 cnf(9, plain, [distinct_lines(_9289, _9366), distinct_points(_9132, _9211), -(apart_point_and_line(_9132, _9289)), -(apart_point_and_line(_9132, _9366)), -(apart_point_and_line(_9211, _9289)), -(apart_point_and_line(_9211, _9366))], clausify(cu1)).
% 0.57/1.42 cnf(10, plain, [apart_point_and_line(_10440, _10496), -(distinct_lines(_10496, _10551)), -(apart_point_and_line(_10440, _10551))], clausify(ceq2)).
% 0.57/1.42
% 0.57/1.42 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.57/1.42 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([[_9132, _9289, _9211, _9366], [3 ^ [], line_connecting(3 ^ [], 2 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.57/1.42 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([[_10496, _10440, _10551], [line_connecting(3 ^ [], 2 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(4)).
% 0.57/1.42 cnf('1.1.1.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_7987, _8051, _7922], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.57/1.42 cnf('1.1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5945], [1 ^ []]]))).
% 0.57/1.42 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_6521, _6577, _6632], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.2.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(6,bind([[_6577, _6521, _6632], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.2.1.1',plain,[-(distinct_points(2 ^ [], 3 ^ []))],extension(2)).
% 0.57/1.42 cnf('1.1.2.1.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(7,bind([[_7987, _8051, _7922], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.57/1.42 cnf('1.1.3.1',plain,[-(distinct_points(3 ^ [], 2 ^ []))],lemmata('1.1')).
% 0.57/1.42 cnf('1.1.3.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(5,bind([[_5945], [3 ^ []]]))).
% 0.57/1.42 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(7,bind([[_7987, _8051, _7922], [2 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.57/1.42 cnf('1.1.4.1',plain,[-(distinct_points(3 ^ [], 2 ^ []))],lemmata('1.1')).
% 0.57/1.42 cnf('1.1.4.2',plain,[distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 2 ^ []))],extension(6,bind([[_6521, _6577, _6632], [2 ^ [], 3 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.4.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.4.2.2',plain,[distinct_points(3 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(8,bind([[_7922, _8051, _7987], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.4.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.57/1.42 cnf('1.1.4.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(7,bind([[_7987, _8051, _7922], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.57/1.42 cnf('1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.57/1.42 cnf('1.1.5.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(6,bind([[_6521, _6577, _6632], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.5.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 cnf('1.1.5.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(8,bind([[_7922, _8051, _7987], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.57/1.42 cnf('1.1.5.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.57/1.42 cnf('1.1.5.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.57/1.42 %-----------------------------------------------------
% 0.57/1.43
% 0.57/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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