TSTP Solution File: GEO180+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 05:03:18 EDT 2022
% Result : Theorem 0.32s 1.42s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n013.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 05:55:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.43
% 0.32/1.43 %-----------------------------------------------------
% 0.32/1.43 fof(con, conjecture, ! [_24338, _24341, _24344] : (distinct_points(_24338, _24341) => apart_point_and_line(_24344, line_connecting(_24338, _24341)) => apart_point_and_line(_24338, line_connecting(_24344, _24341))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.32/1.43 fof(apart1, axiom, ! [_24577] : ~ distinct_points(_24577, _24577), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.32/1.43 fof(apart4, axiom, ! [_24693, _24696, _24699] : (distinct_points(_24693, _24696) => distinct_points(_24693, _24699) | distinct_points(_24696, _24699)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.32/1.43 fof(con1, axiom, ! [_24880, _24883, _24886] : (distinct_points(_24880, _24883) => apart_point_and_line(_24886, line_connecting(_24880, _24883)) => distinct_points(_24886, _24880) & distinct_points(_24886, _24883)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.32/1.43 fof(cu1, axiom, ! [_25123, _25126, _25129, _25132] : (distinct_points(_25123, _25126) & distinct_lines(_25129, _25132) => apart_point_and_line(_25123, _25129) | apart_point_and_line(_25123, _25132) | apart_point_and_line(_25126, _25129) | apart_point_and_line(_25126, _25132)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.32/1.43 fof(ceq2, axiom, ! [_25405, _25408, _25411] : (apart_point_and_line(_25405, _25408) => distinct_lines(_25408, _25411) | apart_point_and_line(_25405, _25411)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.32/1.43
% 0.32/1.43 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.43 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.32/1.43 cnf(3, plain, [apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))], clausify(con)).
% 0.32/1.43 cnf(4, plain, [distinct_points(_5837, _5837)], clausify(apart1)).
% 0.32/1.43 cnf(5, plain, [distinct_points(_6413, _6469), -(distinct_points(_6413, _6524)), -(distinct_points(_6469, _6524))], clausify(apart4)).
% 0.32/1.43 cnf(6, plain, [distinct_points(_7814, _7879), apart_point_and_line(_7943, line_connecting(_7814, _7879)), -(distinct_points(_7943, _7814))], clausify(con1)).
% 0.32/1.43 cnf(7, plain, [distinct_points(_7814, _7879), apart_point_and_line(_7943, line_connecting(_7814, _7879)), -(distinct_points(_7943, _7879))], clausify(con1)).
% 0.32/1.43 cnf(8, plain, [distinct_lines(_9181, _9258), distinct_points(_9024, _9103), -(apart_point_and_line(_9024, _9181)), -(apart_point_and_line(_9024, _9258)), -(apart_point_and_line(_9103, _9181)), -(apart_point_and_line(_9103, _9258))], clausify(cu1)).
% 0.32/1.43 cnf(9, plain, [apart_point_and_line(_10332, _10388), -(distinct_lines(_10388, _10443)), -(apart_point_and_line(_10332, _10443))], clausify(ceq2)).
% 0.32/1.43
% 0.32/1.43 cnf('1',plain,[apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))],start(3)).
% 0.32/1.43 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(8,bind([[_9024, _9181, _9103, _9258], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.32/1.44 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])))],extension(9,bind([[_10388, _10332, _10443], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.32/1.44 cnf('1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.44 cnf('1.1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(6,bind([[_7879, _7943, _7814], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.32/1.44 cnf('1.1.1.2.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(7,bind([[_7943, _7814, _7879], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.1.2.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.44 cnf('1.1.1.2.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.44 cnf('1.1.1.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(4,bind([[_5837], [3 ^ []]]))).
% 0.32/1.44 cnf('1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.44 cnf('1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_7879, _7943, _7814], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.32/1.44 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.44 cnf('1.1.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_5837], [1 ^ []]]))).
% 0.32/1.44 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(6,bind([[_7879, _7943, _7814], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.32/1.44 cnf('1.1.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.44 cnf('1.1.4.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6413, _6469, _6524], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.4.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5837], [2 ^ []]]))).
% 0.32/1.44 cnf('1.1.4.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7814, _7943, _7879], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.4.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.32/1.44 cnf('1.1.4.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5837], [2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(6,bind([[_7879, _7943, _7814], [2 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6413, _6469, _6524], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.1.1',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_7943, _7814, _7879], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.32/1.44 cnf('1.1.5.1.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.44 cnf('1.1.5.1.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 2 ^ []))],extension(7,bind([[_7814, _7943, _7879], [1 ^ [], 3 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.1.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.32/1.44 cnf('1.1.5.1.2.2',plain,[distinct_points(3 ^ [], 2 ^ [])],reduction('1.1.5')).
% 0.32/1.44 cnf('1.1.5.2',plain,[distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 2 ^ []))],extension(5,bind([[_6413, _6469, _6524], [2 ^ [], 3 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5837], [2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.2.2',plain,[distinct_points(3 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(7,bind([[_7814, _7943, _7879], [3 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.32/1.44 cnf('1.1.5.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.32/1.44 cnf('1.1.5.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_5837], [2 ^ []]]))).
% 0.32/1.44 %-----------------------------------------------------
% 0.32/1.44
% 0.32/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------