TSTP Solution File: GEO179+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 05:03:17 EDT 2022
% Result : Theorem 0.42s 1.40s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 15:43:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.42/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.41 fof(con, conjecture, ! [_24170, _24173, _24176] : (distinct_points(_24170, _24173) & apart_point_and_line(_24176, line_connecting(_24170, _24173)) => distinct_lines(line_connecting(_24170, _24173), line_connecting(_24176, _24170)) & distinct_lines(line_connecting(_24170, _24173), line_connecting(_24176, _24173))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.42/1.41 fof(apart1, axiom, ! [_24485] : ~ distinct_points(_24485, _24485), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.42/1.41 fof(apart4, axiom, ! [_24601, _24604, _24607] : (distinct_points(_24601, _24604) => distinct_points(_24601, _24607) | distinct_points(_24604, _24607)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.42/1.41 fof(ci1, axiom, ! [_24788, _24791] : (distinct_points(_24788, _24791) => ~ apart_point_and_line(_24788, line_connecting(_24788, _24791))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.42/1.41 fof(ci2, axiom, ! [_24957, _24960] : (distinct_points(_24957, _24960) => ~ apart_point_and_line(_24960, line_connecting(_24957, _24960))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.42/1.41 fof(ceq1, axiom, ! [_25129, _25132, _25135] : (apart_point_and_line(_25129, _25132) => distinct_points(_25129, _25135) | apart_point_and_line(_25135, _25132)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.42/1.41 fof(ceq2, axiom, ! [_25314, _25317, _25320] : (apart_point_and_line(_25314, _25317) => distinct_lines(_25317, _25320) | apart_point_and_line(_25314, _25320)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.42/1.41
% 0.42/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.42/1.41 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.42/1.41 cnf(3, plain, [distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ [])), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))], clausify(con)).
% 0.42/1.41 cnf(4, plain, [distinct_points(_6227, _6227)], clausify(apart1)).
% 0.42/1.41 cnf(5, plain, [distinct_points(_6803, _6859), -(distinct_points(_6803, _6914)), -(distinct_points(_6859, _6914))], clausify(apart4)).
% 0.42/1.41 cnf(6, plain, [distinct_points(_8204, _8254), apart_point_and_line(_8204, line_connecting(_8204, _8254))], clausify(ci1)).
% 0.42/1.41 cnf(7, plain, [distinct_points(_8577, _8627), apart_point_and_line(_8627, line_connecting(_8577, _8627))], clausify(ci2)).
% 0.42/1.41 cnf(8, plain, [apart_point_and_line(_10537, _10593), -(distinct_points(_10537, _10648)), -(apart_point_and_line(_10648, _10593))], clausify(ceq1)).
% 0.42/1.41 cnf(9, plain, [apart_point_and_line(_11004, _11060), -(distinct_lines(_11060, _11115)), -(apart_point_and_line(_11004, _11115))], clausify(ceq2)).
% 0.42/1.41
% 0.42/1.41 cnf('1',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ [])), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))],start(3)).
% 0.42/1.41 cnf('1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 1 ^ [])))],extension(9,bind([[_11060, _11004, _11115], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 1 ^ [])]]))).
% 0.42/1.41 cnf('1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.42/1.41 cnf('1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 1 ^ [])), distinct_points(3 ^ [], 1 ^ [])],extension(6,bind([[_8204, _8254], [3 ^ [], 1 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(5,bind([[_6859, _6803, _6914], [3 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.1',plain,[-(distinct_points(2 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 3 ^ []))],extension(5,bind([[_6859, _6803, _6914], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.41 cnf('1.1.2.1.1.2',plain,[distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 1 ^ [])), -(distinct_points(3 ^ [], 1 ^ []))],extension(5,bind([[_6803, _6859, _6914], [1 ^ [], 3 ^ [], 1 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.1.2.1',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_6227], [1 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.1.2.2',plain,[distinct_points(3 ^ [], 1 ^ [])],reduction('1.1.2')).
% 0.42/1.41 cnf('1.1.2.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6803, _6859, _6914], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_6227], [2 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.2.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_8204, _8254], [1 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.2.2.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 1 ^ []))],extension(8,bind([[_10593, _10537, _10648], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], 1 ^ []]]))).
% 0.42/1.41 cnf('1.1.2.1.2.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.42/1.41 cnf('1.1.2.1.2.2.1.2',plain,[distinct_points(3 ^ [], 1 ^ [])],reduction('1.1.2')).
% 0.42/1.41 cnf('1.2',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([[_11060, _11004, _11115], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.42/1.41 cnf('1.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.42/1.41 cnf('1.2.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ [])],extension(6,bind([[_8204, _8254], [3 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(1 ^ [], 3 ^ []), -(distinct_points(1 ^ [], 2 ^ []))],extension(5,bind([[_6859, _6803, _6914], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.1',plain,[-(distinct_points(1 ^ [], 3 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 3 ^ []))],extension(5,bind([[_6803, _6859, _6914], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.42/1.41 cnf('1.2.2.1.1.2',plain,[distinct_points(2 ^ [], 3 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 2 ^ []))],extension(5,bind([[_6803, _6859, _6914], [2 ^ [], 3 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.1.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(4,bind([[_6227], [2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.1.2.2',plain,[distinct_points(3 ^ [], 2 ^ [])],reduction('1.2.2')).
% 0.42/1.41 cnf('1.2.2.1.2',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(7,bind([[_8577, _8627], [1 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 2 ^ []))],extension(8,bind([[_10593, _10537, _10648], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], 2 ^ []]]))).
% 0.42/1.41 cnf('1.2.2.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.42/1.41 cnf('1.2.2.1.2.1.2',plain,[distinct_points(3 ^ [], 2 ^ [])],reduction('1.2.2')).
% 0.42/1.41 %-----------------------------------------------------
% 0.42/1.42
% 0.42/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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