TSTP Solution File: GEO200+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 05:03:34 EDT 2022
% Result : Theorem 0.24s 1.34s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.10 % Command : leancop_casc.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jun 17 15:30:01 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.24/1.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/1.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/1.34
% 0.24/1.34 %-----------------------------------------------------
% 0.24/1.34 fof(con, conjecture, ! [_18652, _18655] : (distinct_points(_18652, _18655) => ~ distinct_lines(line_connecting(_18652, _18655), line_connecting(_18655, _18652))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.24/1.34 fof(apart1, axiom, ! [_18848] : ~ distinct_points(_18848, _18848), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.24/1.34 fof(apart4, axiom, ! [_18964, _18967, _18970] : (distinct_points(_18964, _18967) => distinct_points(_18964, _18970) | distinct_points(_18967, _18970)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.24/1.34 fof(ci1, axiom, ! [_19151, _19154] : (distinct_points(_19151, _19154) => ~ apart_point_and_line(_19151, line_connecting(_19151, _19154))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.24/1.34 fof(ci2, axiom, ! [_19320, _19323] : (distinct_points(_19320, _19323) => ~ apart_point_and_line(_19323, line_connecting(_19320, _19323))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.24/1.34 fof(cu1, axiom, ! [_19491, _19494, _19497, _19500] : (distinct_points(_19491, _19494) & distinct_lines(_19497, _19500) => apart_point_and_line(_19491, _19497) | apart_point_and_line(_19491, _19500) | apart_point_and_line(_19494, _19497) | apart_point_and_line(_19494, _19500)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.24/1.34
% 0.24/1.34 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.24/1.34 cnf(2, plain, [-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])))], clausify(con)).
% 0.24/1.34 cnf(3, plain, [distinct_points(_6119, _6119)], clausify(apart1)).
% 0.24/1.34 cnf(4, plain, [distinct_points(_6695, _6751), -(distinct_points(_6695, _6806)), -(distinct_points(_6751, _6806))], clausify(apart4)).
% 0.24/1.34 cnf(5, plain, [distinct_points(_8096, _8146), apart_point_and_line(_8096, line_connecting(_8096, _8146))], clausify(ci1)).
% 0.24/1.34 cnf(6, plain, [distinct_points(_8469, _8519), apart_point_and_line(_8519, line_connecting(_8469, _8519))], clausify(ci2)).
% 0.24/1.34 cnf(7, plain, [distinct_lines(_9745, _9822), distinct_points(_9588, _9667), -(apart_point_and_line(_9588, _9745)), -(apart_point_and_line(_9588, _9822)), -(apart_point_and_line(_9667, _9745)), -(apart_point_and_line(_9667, _9822))], clausify(cu1)).
% 0.24/1.34
% 0.24/1.34 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(3,bind([[_6119], [1 ^ []]]))).
% 0.24/1.34 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(4,bind([[_6695, _6751, _6806], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.24/1.34 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.34 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(7,bind([[_9588, _9745, _9667, _9822], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.24/1.34 cnf('1.1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(2 ^ [], 1 ^ [])))],extension(2)).
% 0.24/1.34 cnf('1.1.2.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8469, _8519], [1 ^ [], 2 ^ []]]))).
% 0.24/1.34 cnf('1.1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.34 cnf('1.1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(5,bind([[_8096, _8146], [2 ^ [], 1 ^ []]]))).
% 0.24/1.34 cnf('1.1.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.24/1.34 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(5,bind([[_8096, _8146], [1 ^ [], 2 ^ []]]))).
% 0.24/1.34 cnf('1.1.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.34 cnf('1.1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(6,bind([[_8469, _8519], [2 ^ [], 1 ^ []]]))).
% 0.24/1.34 cnf('1.1.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.24/1.34 %-----------------------------------------------------
% 0.24/1.35
% 0.24/1.35 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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