%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO195+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 05:03:30 EDT 2022
% Result : Theorem 0.24s 1.35s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO195+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : leancop_casc.sh %s %d
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 600
% 0.11/0.29 % DateTime : Sat Jun 18 05:42:01 EDT 2022
% 0.11/0.29 % CPUTime :
% 0.24/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/1.36 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/1.36
% 0.24/1.36 %-----------------------------------------------------
% 0.24/1.36 fof(con, conjecture, ! [_20666, _20669, _20672] : (convergent_lines(_20666, _20669) & convergent_lines(_20672, _20669) & convergent_lines(_20666, _20672) => apart_point_and_line(intersection_point(_20666, _20669), _20672) => apart_point_and_line(intersection_point(_20669, _20666), _20672)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.24/1.36 fof(apart3, axiom, ! [_20965] : ~ convergent_lines(_20965, _20965), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.24/1.36 fof(ax6, axiom, ! [_21081, _21084, _21087] : (convergent_lines(_21081, _21084) => convergent_lines(_21081, _21087) | convergent_lines(_21084, _21087)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.24/1.36 fof(ci3, axiom, ! [_21268, _21271] : (convergent_lines(_21268, _21271) => ~ apart_point_and_line(intersection_point(_21268, _21271), _21268)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.24/1.36 fof(ci4, axiom, ! [_21437, _21440] : (convergent_lines(_21437, _21440) => ~ apart_point_and_line(intersection_point(_21437, _21440), _21440)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.24/1.36 fof(cu1, axiom, ! [_21606, _21609, _21612, _21615] : (distinct_points(_21606, _21609) & distinct_lines(_21612, _21615) => apart_point_and_line(_21606, _21612) | apart_point_and_line(_21606, _21615) | apart_point_and_line(_21609, _21612) | apart_point_and_line(_21609, _21615)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.24/1.36 fof(ceq1, axiom, ! [_21886, _21889, _21892] : (apart_point_and_line(_21886, _21889) => distinct_points(_21886, _21892) | apart_point_and_line(_21892, _21889)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.24/1.36 fof(ceq3, axiom, ! [_22072, _22075, _22078] : (convergent_lines(_22072, _22075) => distinct_lines(_22075, _22078) | convergent_lines(_22072, _22078)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.24/1.36
% 0.24/1.36 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.24/1.36 cnf(2, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.24/1.36 cnf(3, plain, [apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])], clausify(con)).
% 0.24/1.36 cnf(4, plain, [convergent_lines(_6603, _6603)], clausify(apart3)).
% 0.24/1.36 cnf(5, plain, [convergent_lines(_7729, _7785), -(convergent_lines(_7729, _7840)), -(convergent_lines(_7785, _7840))], clausify(ax6)).
% 0.24/1.36 cnf(6, plain, [convergent_lines(_8942, _8992), apart_point_and_line(intersection_point(_8942, _8992), _8942)], clausify(ci3)).
% 0.24/1.36 cnf(7, plain, [convergent_lines(_9315, _9365), apart_point_and_line(intersection_point(_9315, _9365), _9365)], clausify(ci4)).
% 0.24/1.36 cnf(8, plain, [distinct_lines(_9845, _9922), distinct_points(_9688, _9767), -(apart_point_and_line(_9688, _9845)), -(apart_point_and_line(_9688, _9922)), -(apart_point_and_line(_9767, _9845)), -(apart_point_and_line(_9767, _9922))], clausify(cu1)).
% 0.24/1.36 cnf(9, plain, [apart_point_and_line(_10529, _10585), -(distinct_points(_10529, _10640)), -(apart_point_and_line(_10640, _10585))], clausify(ceq1)).
% 0.24/1.36 cnf(10, plain, [convergent_lines(_11453, _11509), -(distinct_lines(_11509, _11564)), -(convergent_lines(_11453, _11564))], clausify(ceq3)).
% 0.24/1.36
% 0.24/1.36 cnf('1',plain,[convergent_lines(1 ^ [], 1 ^ [])],start(4,bind([[_6603], [1 ^ []]]))).
% 0.24/1.36 cnf('1.1',plain,[-(convergent_lines(1 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(2 ^ [], 1 ^ []))],extension(5,bind([[_7729, _7785, _7840], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.24/1.36 cnf('1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.36 cnf('1.1.2',plain,[convergent_lines(2 ^ [], 1 ^ []), apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])],extension(6,bind([[_8992, _8942], [1 ^ [], 2 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_9845, _9688, _9767, _9922], [2 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_11509, _11453, _11564], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.36 cnf('1.1.2.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_6603], [1 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ []))],extension(9,bind([[_10529, _10640, _10585], [intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(2)).
% 0.24/1.36 cnf('1.1.2.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 3 ^ [])],extension(3)).
% 0.24/1.36 cnf('1.1.2.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_9315, _9365], [1 ^ [], 2 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.36 cnf('1.1.2.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_8942, _8992], [1 ^ [], 2 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.24/1.36 cnf('1.1.2.1.5',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(7,bind([[_9315, _9365], [2 ^ [], 1 ^ []]]))).
% 0.24/1.36 cnf('1.1.2.1.5.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.24/1.36 %-----------------------------------------------------
% 0.24/1.36
% 0.24/1.36 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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