TSTP Solution File: GEO198+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 05:03:33 EDT 2022
% Result : Theorem 0.45s 1.43s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:32:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/1.45
% 0.55/1.45 %-----------------------------------------------------
% 0.55/1.45 fof(con, conjecture, ! [_41464, _41467, _41470] : (convergent_lines(_41464, _41467) & convergent_lines(_41470, _41467) & convergent_lines(_41464, _41470) & incident_point_and_line(intersection_point(_41464, _41467), _41470) => incident_point_and_line(intersection_point(_41464, _41470), _41467)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.55/1.45 fof(apart3, axiom, ! [_41773] : ~ convergent_lines(_41773, _41773), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.55/1.45 fof(ci3, axiom, ! [_41892, _41895] : (convergent_lines(_41892, _41895) => ~ apart_point_and_line(intersection_point(_41892, _41895), _41892)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.55/1.45 fof(ci4, axiom, ! [_42061, _42064] : (convergent_lines(_42061, _42064) => ~ apart_point_and_line(intersection_point(_42061, _42064), _42064)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.55/1.45 fof(cu1, axiom, ! [_42230, _42233, _42236, _42239] : (distinct_points(_42230, _42233) & distinct_lines(_42236, _42239) => apart_point_and_line(_42230, _42236) | apart_point_and_line(_42230, _42239) | apart_point_and_line(_42233, _42236) | apart_point_and_line(_42233, _42239)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.55/1.45 fof(ceq1, axiom, ! [_42510, _42513, _42516] : (apart_point_and_line(_42510, _42513) => distinct_points(_42510, _42516) | apart_point_and_line(_42516, _42513)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 0.55/1.45 fof(ceq3, axiom, ! [_42696, _42699, _42702] : (convergent_lines(_42696, _42699) => distinct_lines(_42699, _42702) | convergent_lines(_42696, _42702)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.55/1.45 fof(a4, axiom, ! [_42909, _42912] : (incident_point_and_line(_42909, _42912) <=> ~ apart_point_and_line(_42909, _42912)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.55/1.45
% 0.55/1.45 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.55/1.45 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.55/1.45 cnf(3, plain, [-(incident_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))], clausify(con)).
% 0.55/1.45 cnf(4, plain, [incident_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])], clausify(con)).
% 0.55/1.45 cnf(5, plain, [convergent_lines(_12715, _12715)], clausify(apart3)).
% 0.55/1.45 cnf(6, plain, [convergent_lines(_15054, _15104), apart_point_and_line(intersection_point(_15054, _15104), _15054)], clausify(ci3)).
% 0.55/1.45 cnf(7, plain, [convergent_lines(_15427, _15477), apart_point_and_line(intersection_point(_15427, _15477), _15477)], clausify(ci4)).
% 0.55/1.45 cnf(8, plain, [distinct_lines(_15957, _16034), distinct_points(_15800, _15879), -(apart_point_and_line(_15800, _15957)), -(apart_point_and_line(_15800, _16034)), -(apart_point_and_line(_15879, _15957)), -(apart_point_and_line(_15879, _16034))], clausify(cu1)).
% 0.55/1.45 cnf(9, plain, [apart_point_and_line(_16641, _16697), -(distinct_points(_16641, _16752)), -(apart_point_and_line(_16752, _16697))], clausify(ceq1)).
% 0.55/1.45 cnf(10, plain, [convergent_lines(_17565, _17621), -(distinct_lines(_17621, _17676)), -(convergent_lines(_17565, _17676))], clausify(ceq3)).
% 0.55/1.45 cnf(11, plain, [incident_point_and_line(_26625, _26672), apart_point_and_line(_26625, _26672)], clausify(a4)).
% 0.55/1.45 cnf(12, plain, [-(incident_point_and_line(_26625, _26672)), -(apart_point_and_line(_26625, _26672))], clausify(a4)).
% 0.55/1.45
% 0.55/1.45 cnf('1',plain,[incident_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])],start(11,bind([[_26625, _26672], [intersection_point(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.55/1.45 cnf('1.1',plain,[-(incident_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []))],extension(3)).
% 0.55/1.45 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), distinct_lines(3 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []))],extension(8,bind([[_15957, _15800, _15879, _16034], [3 ^ [], intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []), 1 ^ []]]))).
% 0.55/1.45 cnf('1.2.1',plain,[-(distinct_lines(3 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 3 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(10,bind([[_17621, _17565, _17676], [3 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.55/1.45 cnf('1.2.1.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.55/1.45 cnf('1.2.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(5,bind([[_12715], [1 ^ []]]))).
% 0.55/1.45 cnf('1.2.2',plain,[-(distinct_points(intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(9,bind([[_16641, _16752, _16697], [intersection_point(1 ^ [], 3 ^ []), intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.55/1.45 cnf('1.2.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])), -(incident_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ []))],extension(12,bind([[_26625, _26672], [intersection_point(1 ^ [], 3 ^ []), 2 ^ []]]))).
% 0.55/1.45 cnf('1.2.2.1.1',plain,[incident_point_and_line(intersection_point(1 ^ [], 3 ^ []), 2 ^ [])],extension(4)).
% 0.55/1.45 cnf('1.2.2.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15427, _15477], [1 ^ [], 2 ^ []]]))).
% 0.55/1.45 cnf('1.2.2.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.55/1.45 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 3 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(7,bind([[_15427, _15477], [1 ^ [], 3 ^ []]]))).
% 0.55/1.45 cnf('1.2.3.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.55/1.45 cnf('1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(6,bind([[_15054, _15104], [1 ^ [], 3 ^ []]]))).
% 0.55/1.45 cnf('1.2.4.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.55/1.45 cnf('1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(6,bind([[_15054, _15104], [1 ^ [], 2 ^ []]]))).
% 0.55/1.45 cnf('1.2.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.55/1.45 %-----------------------------------------------------
% 0.55/1.46
% 0.55/1.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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