TSTP Solution File: GEO179+2 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 01:02:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(con, conjecture, ! [_19012, _19015, _19018] : (distinct_points(_19012, _19015) & apart_point_and_line(_19018, line_connecting(_19012, _19015)) => distinct_lines(line_connecting(_19012, _19015), line_connecting(_19018, _19012)) & distinct_lines(line_connecting(_19012, _19015), line_connecting(_19018, _19015))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.33/1.41 fof(apart1, axiom, ! [_19327] : ~ distinct_points(_19327, _19327), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.33/1.41 fof(con1, axiom, ! [_19446, _19449, _19452] : (distinct_points(_19446, _19449) => apart_point_and_line(_19452, line_connecting(_19446, _19449)) => distinct_points(_19452, _19446) & distinct_points(_19452, _19449)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.33/1.41 fof(ceq2, axiom, ! [_19692, _19695, _19698] : (apart_point_and_line(_19692, _19695) => distinct_lines(_19695, _19698) | apart_point_and_line(_19692, _19698)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.41 cnf(2, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.33/1.41 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)).
% 0.33/1.41 cnf(4, plain, [distinct_points(_5925, _5925)], clausify(apart1)).
% 0.33/1.41 cnf(5, plain, [distinct_points(_7902, _7967), apart_point_and_line(_8031, line_connecting(_7902, _7967)), -(distinct_points(_8031, _7902))], clausify(con1)).
% 0.33/1.41 cnf(6, plain, [distinct_points(_7902, _7967), apart_point_and_line(_8031, line_connecting(_7902, _7967)), -(distinct_points(_8031, _7967))], clausify(con1)).
% 0.33/1.41 cnf(7, plain, [apart_point_and_line(_10420, _10476), -(distinct_lines(_10476, _10531)), -(apart_point_and_line(_10420, _10531))], clausify(ceq2)).
% 0.33/1.41
% 0.33/1.41 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)).
% 0.33/1.41 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(7,bind([[_10476, _10420, _10531], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 1 ^ [])]]))).
% 0.33/1.41 cnf('1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.33/1.41 cnf('1.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 1 ^ [])), distinct_points(3 ^ [], 1 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(5,bind([[_7967, _8031, _7902], [1 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.33/1.41 cnf('1.1.2.1',plain,[-(distinct_points(3 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(5,bind([[_8031, _7902, _7967], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.1.2.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.1.2.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.33/1.41 cnf('1.1.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(4,bind([[_5925], [3 ^ []]]))).
% 0.33/1.41 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(7,bind([[_10476, _10420, _10531], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.33/1.41 cnf('1.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.33/1.41 cnf('1.2.2',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 2 ^ [])), distinct_points(3 ^ [], 2 ^ []), -(distinct_points(3 ^ [], 3 ^ []))],extension(5,bind([[_7967, _8031, _7902], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.33/1.41 cnf('1.2.2.1',plain,[-(distinct_points(3 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_8031, _7902, _7967], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.2.2.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.2.2.1.2',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.33/1.41 cnf('1.2.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(4,bind([[_5925], [3 ^ []]]))).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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