%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 0.38s 1.39s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n022.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 18:52:17 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.38/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40
% 0.38/1.40 %-----------------------------------------------------
% 0.38/1.40 fof(con, conjecture, ! [_23080, _23083, _23086] : (convergent_lines(_23080, _23083) & convergent_lines(_23086, _23083) & convergent_lines(_23080, _23086) => apart_point_and_line(intersection_point(_23080, _23083), _23086) => apart_point_and_line(intersection_point(_23083, _23080), _23086)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/1.40 fof(apart1, axiom, ! [_23377] : ~ distinct_points(_23377, _23377), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.38/1.40 fof(apart2, axiom, ! [_23491] : ~ distinct_lines(_23491, _23491), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.38/1.40 fof(apart3, axiom, ! [_23605] : ~ convergent_lines(_23605, _23605), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.38/1.40 fof(apart5, axiom, ! [_23720, _23723, _23726] : (distinct_lines(_23720, _23723) => distinct_lines(_23720, _23726) | distinct_lines(_23723, _23726)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.38/1.40 fof(apart6, axiom, ! [_23905, _23908, _23911] : (convergent_lines(_23905, _23908) => convergent_lines(_23905, _23911) | convergent_lines(_23908, _23911)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.38/1.40 fof(con2, axiom, ! [_24092, _24095, _24098] : (convergent_lines(_24092, _24095) => apart_point_and_line(_24098, _24092) | apart_point_and_line(_24098, _24095) => distinct_points(_24098, intersection_point(_24092, _24095))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.38/1.40 fof(cu1, axiom, ! [_24333, _24336, _24339, _24342] : (distinct_points(_24333, _24336) & distinct_lines(_24339, _24342) => apart_point_and_line(_24333, _24339) | apart_point_and_line(_24333, _24342) | apart_point_and_line(_24336, _24339) | apart_point_and_line(_24336, _24342)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.38/1.40 fof(ceq1, axiom, ! [_24613, _24616, _24619] : (apart_point_and_line(_24613, _24616) => distinct_points(_24613, _24619) | apart_point_and_line(_24619, _24616)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq1)).
% 0.38/1.40 fof(ceq3, axiom, ! [_24798, _24801] : (convergent_lines(_24798, _24801) => distinct_lines(_24798, _24801)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.38/1.40
% 0.38/1.40 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.40 cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.38/1.40 cnf(3, plain, [apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])], clausify(con)).
% 0.38/1.40 cnf(4, plain, [distinct_points(_5949, _5949)], clausify(apart1)).
% 0.38/1.40 cnf(5, plain, [distinct_lines(_6141, _6141)], clausify(apart2)).
% 0.38/1.40 cnf(6, plain, [convergent_lines(_6333, _6333)], clausify(apart3)).
% 0.38/1.40 cnf(7, plain, [distinct_lines(_6992, _7048), -(distinct_lines(_6992, _7103)), -(distinct_lines(_7048, _7103))], clausify(apart5)).
% 0.38/1.40 cnf(8, plain, [convergent_lines(_7459, _7515), -(convergent_lines(_7459, _7570)), -(convergent_lines(_7515, _7570))], clausify(apart6)).
% 0.38/1.40 cnf(9, plain, [convergent_lines(_8531, _8596), apart_point_and_line(_8660, _8531), -(distinct_points(_8660, intersection_point(_8531, _8596)))], clausify(con2)).
% 0.38/1.40 cnf(10, plain, [convergent_lines(_8531, _8596), apart_point_and_line(_8660, _8596), -(distinct_points(_8660, intersection_point(_8531, _8596)))], clausify(con2)).
% 0.38/1.40 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)).
% 0.38/1.40 cnf(12, plain, [apart_point_and_line(_9977, _10033), -(distinct_points(_9977, _10088)), -(apart_point_and_line(_10088, _10033))], clausify(ceq1)).
% 0.38/1.40 cnf(13, plain, [convergent_lines(_10901, _10946), -(distinct_lines(_10901, _10946))], clausify(ceq3)).
% 0.38/1.40
% 0.38/1.40 cnf('1',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])],start(3)).
% 0.38/1.40 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(12,bind([[_10033, _9977, _10088], [3 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.38/1.40 cnf('1.1.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.38/1.40 cnf('1.1.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ []))],extension(11,bind([[_9136, _9293, _9215, _9370], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], intersection_point(2 ^ [], 1 ^ []), 2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_6992, _7048, _7103], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_6992, _7048, _7103], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(13,bind([[_10901, _10946], [1 ^ [], 2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.40 cnf('1.1.2.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(5,bind([[_6141], [2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(5,bind([[_6141], [2 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.2',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 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.40 cnf('1.1.2.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5949], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.38/1.40 cnf('1.1.2.3',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 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.40 cnf('1.1.2.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(4,bind([[_5949], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.38/1.40 cnf('1.1.2.4',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(10,bind([[_8660, _8531, _8596], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.4.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7515, _7459, _7570], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.4.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.40 cnf('1.1.2.4.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6333], [1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.4.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(4,bind([[_5949], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.38/1.40 cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(9,bind([[_8660, _8531, _8596], [intersection_point(2 ^ [], 1 ^ []), 2 ^ [], 1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.5.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(8,bind([[_7515, _7459, _7570], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.5.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.40 cnf('1.1.2.5.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_6333], [1 ^ []]]))).
% 0.38/1.40 cnf('1.1.2.5.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(4,bind([[_5949], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.38/1.40 %-----------------------------------------------------
% 0.38/1.41
% 0.38/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------