%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 05:03:25 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 08:19:53 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(con, conjecture, ! [_22598, _22601, _22604] : (distinct_points(_22598, _22601) & distinct_points(_22598, _22604) & distinct_points(_22601, _22604) & ~ apart_point_and_line(_22604, line_connecting(_22598, _22601)) => ~ apart_point_and_line(_22601, line_connecting(_22598, _22604))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.31/1.41 fof(apart1, axiom, ! [_22919] : ~ distinct_points(_22919, _22919), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.31/1.41 fof(apart4, axiom, ! [_23035, _23038, _23041] : (distinct_points(_23035, _23038) => distinct_points(_23035, _23041) | distinct_points(_23038, _23041)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.31/1.41 fof(con1, axiom, ! [_23222, _23225, _23228] : (distinct_points(_23222, _23225) => apart_point_and_line(_23228, line_connecting(_23222, _23225)) => distinct_points(_23228, _23222) & distinct_points(_23228, _23225)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.31/1.41 fof(cu1, axiom, ! [_23465, _23468, _23471, _23474] : (distinct_points(_23465, _23468) & distinct_lines(_23471, _23474) => apart_point_and_line(_23465, _23471) | apart_point_and_line(_23465, _23474) | apart_point_and_line(_23468, _23471) | apart_point_and_line(_23468, _23474)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.31/1.41 fof(ceq2, axiom, ! [_23747, _23750, _23753] : (apart_point_and_line(_23747, _23750) => distinct_lines(_23750, _23753) | apart_point_and_line(_23747, _23753)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.31/1.41 cnf(2, plain, [-(distinct_points(1 ^ [], 3 ^ []))], clausify(con)).
% 0.31/1.41 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.31/1.41 cnf(4, plain, [-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.31/1.41 cnf(5, plain, [distinct_points(_5945, _5945)], clausify(apart1)).
% 0.31/1.41 cnf(6, plain, [distinct_points(_6521, _6577), -(distinct_points(_6521, _6632)), -(distinct_points(_6577, _6632))], clausify(apart4)).
% 0.31/1.41 cnf(7, plain, [distinct_points(_7922, _7987), apart_point_and_line(_8051, line_connecting(_7922, _7987)), -(distinct_points(_8051, _7922))], clausify(con1)).
% 0.31/1.41 cnf(8, plain, [distinct_points(_7922, _7987), apart_point_and_line(_8051, line_connecting(_7922, _7987)), -(distinct_points(_8051, _7987))], clausify(con1)).
% 0.31/1.41 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)).
% 0.31/1.41 cnf(10, plain, [apart_point_and_line(_10440, _10496), -(distinct_lines(_10496, _10551)), -(apart_point_and_line(_10440, _10551))], clausify(ceq2)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.31/1.41 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(3 ^ [], 1 ^ []), -(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_9132, _9289, _9211, _9366], [3 ^ [], line_connecting(1 ^ [], 3 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(10,bind([[_10496, _10440, _10551], [line_connecting(1 ^ [], 3 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 3 ^ [])))],extension(4)).
% 0.31/1.41 cnf('1.1.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 2 ^ []))],extension(8,bind([[_7922, _8051, _7987], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41 cnf('1.1.1.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(5,bind([[_5945], [2 ^ []]]))).
% 0.31/1.41 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(3 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6521, _6577, _6632], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_6577, _6521, _6632], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.1.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.31/1.41 cnf('1.1.2.1.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5945], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5945], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(3 ^ [], 1 ^ []))],extension(7,bind([[_7987, _8051, _7922], [3 ^ [], 3 ^ [], 1 ^ []]]))).
% 0.31/1.41 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.31/1.41 cnf('1.1.3.2',plain,[distinct_points(3 ^ [], 1 ^ []), -(distinct_points(3 ^ [], 3 ^ [])), -(distinct_points(1 ^ [], 3 ^ []))],extension(6,bind([[_6521, _6577, _6632], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.31/1.41 cnf('1.1.3.2.1',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(5,bind([[_5945], [3 ^ []]]))).
% 0.31/1.41 cnf('1.1.3.2.2',plain,[distinct_points(1 ^ [], 3 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])), -(distinct_points(3 ^ [], 3 ^ []))],extension(8,bind([[_7922, _8051, _7987], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.31/1.41 cnf('1.1.3.2.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 3 ^ [])))],reduction('1.1')).
% 0.31/1.41 cnf('1.1.3.2.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(5,bind([[_5945], [3 ^ []]]))).
% 0.31/1.41 cnf('1.1.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_7987, _8051, _7922], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.31/1.41 cnf('1.1.4.1',plain,[-(distinct_points(1 ^ [], 3 ^ []))],extension(2)).
% 0.31/1.41 cnf('1.1.4.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5945], [1 ^ []]]))).
% 0.31/1.41 cnf('1.1.5',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 ^ []]]))).
% 0.31/1.41 cnf('1.1.5.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.31/1.41 cnf('1.1.5.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_5945], [1 ^ []]]))).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.42
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------