TSTP Solution File: GEO187+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO187+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 05:03:23 EDT 2022
% Result : Theorem 0.33s 1.42s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n010.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 : Sat Jun 18 16:46:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.33/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.43
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.43 fof(con, conjecture, ! [_24496, _24499, _24502, _24505] : (distinct_points(_24496, _24499) & distinct_points(_24502, _24505) & ~ apart_point_and_line(_24496, line_connecting(_24502, _24505)) & ~ apart_point_and_line(_24499, line_connecting(_24502, _24505)) => ~ apart_point_and_line(_24502, line_connecting(_24496, _24499)) & ~ apart_point_and_line(_24505, line_connecting(_24496, _24499))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.33/1.43 fof(apart1, axiom, ! [_24912] : ~ distinct_points(_24912, _24912), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.33/1.43 fof(apart4, axiom, ! [_25028, _25031, _25034] : (distinct_points(_25028, _25031) => distinct_points(_25028, _25034) | distinct_points(_25031, _25034)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.33/1.43 fof(con1, axiom, ! [_25215, _25218, _25221] : (distinct_points(_25215, _25218) => apart_point_and_line(_25221, line_connecting(_25215, _25218)) => distinct_points(_25221, _25215) & distinct_points(_25221, _25218)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.33/1.43 fof(cu1, axiom, ! [_25458, _25461, _25464, _25467] : (distinct_points(_25458, _25461) & distinct_lines(_25464, _25467) => apart_point_and_line(_25458, _25464) | apart_point_and_line(_25458, _25467) | apart_point_and_line(_25461, _25464) | apart_point_and_line(_25461, _25467)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.33/1.43 fof(ceq1, axiom, ! [_25738, _25741, _25744] : (apart_point_and_line(_25738, _25741) => distinct_points(_25738, _25744) | apart_point_and_line(_25744, _25741)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.33/1.43 fof(ceq2, axiom, ! [_25924, _25927, _25930] : (apart_point_and_line(_25924, _25927) => distinct_lines(_25927, _25930) | apart_point_and_line(_25924, _25930)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 0.33/1.43
% 0.33/1.43 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.43 cnf(2, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 0.33/1.43 cnf(3, plain, [apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))], clausify(con)).
% 0.33/1.43 cnf(4, plain, [apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))], clausify(con)).
% 0.33/1.43 cnf(5, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.33/1.43 cnf(6, plain, [distinct_points(_6103, _6103)], clausify(apart1)).
% 0.33/1.43 cnf(7, plain, [distinct_points(_6679, _6735), -(distinct_points(_6679, _6790)), -(distinct_points(_6735, _6790))], clausify(apart4)).
% 0.33/1.43 cnf(8, plain, [distinct_points(_8080, _8145), apart_point_and_line(_8209, line_connecting(_8080, _8145)), -(distinct_points(_8209, _8080))], clausify(con1)).
% 0.33/1.43 cnf(9, plain, [distinct_points(_8080, _8145), apart_point_and_line(_8209, line_connecting(_8080, _8145)), -(distinct_points(_8209, _8145))], clausify(con1)).
% 0.33/1.43 cnf(10, plain, [distinct_lines(_9447, _9524), distinct_points(_9290, _9369), -(apart_point_and_line(_9290, _9447)), -(apart_point_and_line(_9290, _9524)), -(apart_point_and_line(_9369, _9447)), -(apart_point_and_line(_9369, _9524))], clausify(cu1)).
% 0.33/1.43 cnf(11, plain, [apart_point_and_line(_10131, _10187), -(distinct_points(_10131, _10242)), -(apart_point_and_line(_10242, _10187))], clausify(ceq1)).
% 0.33/1.43 cnf(12, plain, [apart_point_and_line(_10598, _10654), -(distinct_lines(_10654, _10709)), -(apart_point_and_line(_10598, _10709))], clausify(ceq2)).
% 0.33/1.43
% 0.33/1.43 cnf('1',plain,[apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))],start(3)).
% 0.33/1.43 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ [])), 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 ^ [], 4 ^ [])))],extension(10,bind([[_9290, _9447, _9369, _9524], [1 ^ [], line_connecting(1 ^ [], 2 ^ []), 2 ^ [], line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.33/1.43 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ []))), apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(12,bind([[_10654, _10598, _10709], [line_connecting(1 ^ [], 2 ^ []), 4 ^ [], line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.33/1.43 cnf('1.1.1.1',plain,[-(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_points(3 ^ [], 4 ^ []))],extension(11,bind([[_10187, _10131, _10242], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], 4 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(5)).
% 0.33/1.43 cnf('1.1.1.1.1.1',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))],reduction('1.1.1')).
% 0.33/1.43 cnf('1.1.1.1.2',plain,[distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_points(3 ^ [], 3 ^ []))],extension(8,bind([[_8145, _8209, _8080], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.1.2.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ [])))],extension(12,bind([[_10598, _10654, _10709], [3 ^ [], line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ [])]]))).
% 0.33/1.43 cnf('1.1.1.1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(5)).
% 0.33/1.43 cnf('1.1.1.1.2.1.1.1',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))],reduction('1.1.1')).
% 0.33/1.43 cnf('1.1.1.1.2.1.2',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.33/1.43 cnf('1.1.1.1.2.2',plain,[distinct_points(3 ^ [], 3 ^ [])],extension(6,bind([[_6103], [3 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(distinct_points(4 ^ [], 3 ^ []))],extension(8,bind([[_8145, _8209, _8080], [4 ^ [], 4 ^ [], 3 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.33/1.43 cnf('1.1.1.2.2',plain,[distinct_points(4 ^ [], 3 ^ []), -(distinct_points(4 ^ [], 4 ^ [])), -(distinct_points(3 ^ [], 4 ^ []))],extension(7,bind([[_6679, _6735, _6790], [4 ^ [], 3 ^ [], 4 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2.2.1',plain,[distinct_points(4 ^ [], 4 ^ [])],extension(6,bind([[_6103], [4 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2.2.2',plain,[distinct_points(3 ^ [], 4 ^ []), apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_points(4 ^ [], 4 ^ []))],extension(9,bind([[_8080, _8209, _8145], [3 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2.2.2.1',plain,[-(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])))],reduction('1.1.1')).
% 0.33/1.43 cnf('1.1.1.2.2.2.2',plain,[distinct_points(4 ^ [], 4 ^ [])],extension(6,bind([[_6103], [4 ^ []]]))).
% 0.33/1.43 cnf('1.1.2',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.3',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(8,bind([[_8145, _8209, _8080], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.33/1.43 cnf('1.1.3.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.3.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(6,bind([[_6103], [1 ^ []]]))).
% 0.33/1.43 cnf('1.1.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(8,bind([[_8145, _8209, _8080], [2 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.33/1.43 cnf('1.1.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.43 cnf('1.1.4.2',plain,[distinct_points(2 ^ [], 1 ^ []), -(distinct_points(2 ^ [], 2 ^ [])), -(distinct_points(1 ^ [], 2 ^ []))],extension(7,bind([[_6679, _6735, _6790], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.4.2.1',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(6,bind([[_6103], [2 ^ []]]))).
% 0.33/1.43 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(9,bind([[_8080, _8209, _8145], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.33/1.43 cnf('1.1.4.2.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],reduction('1.1')).
% 0.33/1.43 cnf('1.1.4.2.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(6,bind([[_6103], [2 ^ []]]))).
% 0.33/1.43 cnf('1.1.5',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ []))],extension(4)).
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.44
% 0.33/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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