TSTP Solution File: GEO194+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO194+2 : 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 05:03:30 EDT 2022
% Result : Theorem 0.68s 1.40s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO194+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 00:54:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/1.41
% 0.68/1.41 %-----------------------------------------------------
% 0.68/1.41 fof(con, conjecture, ! [_20944, _20947, _20950] : (convergent_lines(_20944, _20947) & convergent_lines(_20950, _20947) & convergent_lines(_20944, _20950) => apart_point_and_line(intersection_point(_20944, _20947), _20950) => apart_point_and_line(intersection_point(_20944, _20950), _20947)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.68/1.41 fof(apart1, axiom, ! [_21251] : ~ distinct_points(_21251, _21251), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.68/1.41 fof(apart2, axiom, ! [_21365] : ~ distinct_lines(_21365, _21365), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.68/1.41 fof(apart4, axiom, ! [_21480, _21483, _21486] : (distinct_points(_21480, _21483) => distinct_points(_21480, _21486) | distinct_points(_21483, _21486)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.68/1.41 fof(apart5, axiom, ! [_21665, _21668, _21671] : (distinct_lines(_21665, _21668) => distinct_lines(_21665, _21671) | distinct_lines(_21668, _21671)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.68/1.41 fof(con2, axiom, ! [_21853, _21856, _21859] : (convergent_lines(_21853, _21856) => apart_point_and_line(_21859, _21853) | apart_point_and_line(_21859, _21856) => distinct_points(_21859, intersection_point(_21853, _21856))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.68/1.41 fof(cu1, axiom, ! [_22094, _22097, _22100, _22103] : (distinct_points(_22094, _22097) & distinct_lines(_22100, _22103) => apart_point_and_line(_22094, _22100) | apart_point_and_line(_22094, _22103) | apart_point_and_line(_22097, _22100) | apart_point_and_line(_22097, _22103)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.68/1.41 fof(ceq3, axiom, ! [_22375, _22378] : (convergent_lines(_22375, _22378) => distinct_lines(_22375, _22378)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.68/1.41
% 0.68/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.68/1.41 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.68/1.41 cnf(3, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.68/1.41 cnf(4, plain, [apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])], clausify(con)).
% 0.68/1.41 cnf(5, plain, [distinct_points(_5949, _5949)], clausify(apart1)).
% 0.68/1.41 cnf(6, plain, [distinct_lines(_6141, _6141)], clausify(apart2)).
% 0.68/1.41 cnf(7, plain, [distinct_points(_6525, _6581), -(distinct_points(_6525, _6636)), -(distinct_points(_6581, _6636))], clausify(apart4)).
% 0.68/1.41 cnf(8, plain, [distinct_lines(_6992, _7048), -(distinct_lines(_6992, _7103)), -(distinct_lines(_7048, _7103))], clausify(apart5)).
% 0.68/1.41 cnf(9, plain, [convergent_lines(_8531, _8596), apart_point_and_line(_8660, _8531), -(distinct_points(_8660, intersection_point(_8531, _8596)))], clausify(con2)).
% 0.68/1.41 cnf(10, plain, [convergent_lines(_8531, _8596), apart_point_and_line(_8660, _8596), -(distinct_points(_8660, intersection_point(_8531, _8596)))], clausify(con2)).
% 0.68/1.41 cnf(11, plain, [distinct_lines(_9293, _9370), distinct_points(_9136, _9215), -(apart_point_and_line(_9136, _9293)), -(apart_point_and_line(_9136, _9370)), -(apart_point_and_line(_9215, _9293)), -(apart_point_and_line(_9215, _9370))], clausify(cu1)).
% 0.68/1.41 cnf(12, plain, [convergent_lines(_10901, _10946), -(distinct_lines(_10901, _10946))], clausify(ceq3)).
% 0.68/1.41
% 0.68/1.41 cnf('1',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])],start(4)).
% 0.68/1.41 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(11,bind([[_9136, _9293, _9215, _9370], [intersection_point(1 ^ [], 3 ^ []), 2 ^ [], intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.68/1.41 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7048, _6992, _7103], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.68/1.41 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(12,bind([[_10901, _10946], [1 ^ [], 2 ^ []]]))).
% 0.68/1.41 cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.68/1.41 cnf('1.1.1.2',plain,[distinct_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6141], [1 ^ []]]))).
% 0.68/1.41 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(7,bind([[_6581, _6525, _6636], [intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.68/1.41 cnf('1.1.2.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), convergent_lines(1 ^ [], 3 ^ []), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],extension(10,bind([[_8531, _8660, _8596], [1 ^ [], intersection_point(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.68/1.41 cnf('1.1.2.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.68/1.41 cnf('1.1.2.1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(3)).
% 0.68/1.41 cnf('1.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5949], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.68/1.41 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(9,bind([[_8660, _8531, _8596], [intersection_point(1 ^ [], 3 ^ []), 1 ^ [], 3 ^ []]]))).
% 0.68/1.41 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.68/1.41 cnf('1.1.3.2',plain,[distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(5,bind([[_5949], [intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.68/1.41 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(10,bind([[_8660, _8531, _8596], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.68/1.41 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.68/1.41 cnf('1.1.4.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5949], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.68/1.41 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(9,bind([[_8660, _8531, _8596], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.68/1.41 cnf('1.1.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.68/1.41 cnf('1.1.5.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_5949], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.68/1.41 %-----------------------------------------------------
% 0.68/1.42
% 0.68/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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