TSTP Solution File: GEO191+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 05:03:27 EDT 2022
% Result : Theorem 1.81s 2.44s
% Output : Proof 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 06:04:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.81/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.46
% 1.81/2.46 %-----------------------------------------------------
% 1.81/2.46 fof(con, conjecture, ! [_43392, _43395, _43398, _43401] : (convergent_lines(_43392, _43395) & convergent_lines(_43398, _43401) & (apart_point_and_line(intersection_point(_43392, _43395), _43398) | apart_point_and_line(intersection_point(_43392, _43395), _43401)) => apart_point_and_line(intersection_point(_43398, _43401), _43392) | apart_point_and_line(intersection_point(_43398, _43401), _43395)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.81/2.46 fof(apart2, axiom, ! [_43781] : ~ distinct_lines(_43781, _43781), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 1.81/2.46 fof(apart3, axiom, ! [_43895] : ~ convergent_lines(_43895, _43895), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 1.81/2.46 fof(apart5, axiom, ! [_44010, _44013, _44016] : (distinct_lines(_44010, _44013) => distinct_lines(_44010, _44016) | distinct_lines(_44013, _44016)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 1.81/2.46 fof(ci3, axiom, ! [_44198, _44201] : (convergent_lines(_44198, _44201) => ~ apart_point_and_line(intersection_point(_44198, _44201), _44198)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 1.81/2.46 fof(ci4, axiom, ! [_44367, _44370] : (convergent_lines(_44367, _44370) => ~ apart_point_and_line(intersection_point(_44367, _44370), _44370)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 1.81/2.46 fof(cu1, axiom, ! [_44536, _44539, _44542, _44545] : (distinct_points(_44536, _44539) & distinct_lines(_44542, _44545) => apart_point_and_line(_44536, _44542) | apart_point_and_line(_44536, _44545) | apart_point_and_line(_44539, _44542) | apart_point_and_line(_44539, _44545)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 1.81/2.46 fof(ceq1, axiom, ! [_44816, _44819, _44822] : (apart_point_and_line(_44816, _44819) => distinct_points(_44816, _44822) | apart_point_and_line(_44822, _44819)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq1)).
% 1.81/2.46 fof(ceq3, axiom, ! [_45002, _45005, _45008] : (convergent_lines(_45002, _45005) => distinct_lines(_45005, _45008) | convergent_lines(_45002, _45008)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 1.81/2.46
% 1.81/2.46 cnf(1, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])], clausify(con)).
% 1.81/2.46 cnf(2, plain, [apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])], clausify(con)).
% 1.81/2.46 cnf(3, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 1.81/2.46 cnf(4, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 1.81/2.46 cnf(5, plain, [-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))], clausify(con)).
% 1.81/2.46 cnf(6, plain, [distinct_lines(_12621, _12621)], clausify(apart2)).
% 1.81/2.46 cnf(7, plain, [convergent_lines(_12813, _12813)], clausify(apart3)).
% 1.81/2.46 cnf(8, plain, [distinct_lines(_13472, _13528), -(distinct_lines(_13472, _13583)), -(distinct_lines(_13528, _13583))], clausify(apart5)).
% 1.81/2.46 cnf(9, plain, [convergent_lines(_15152, _15202), apart_point_and_line(intersection_point(_15152, _15202), _15152)], clausify(ci3)).
% 1.81/2.46 cnf(10, plain, [convergent_lines(_15525, _15575), apart_point_and_line(intersection_point(_15525, _15575), _15575)], clausify(ci4)).
% 1.81/2.46 cnf(11, plain, [distinct_lines(_16055, _16132), distinct_points(_15898, _15977), -(apart_point_and_line(_15898, _16055)), -(apart_point_and_line(_15898, _16132)), -(apart_point_and_line(_15977, _16055)), -(apart_point_and_line(_15977, _16132))], clausify(cu1)).
% 1.81/2.46 cnf(12, plain, [apart_point_and_line(_16739, _16795), -(distinct_points(_16739, _16850)), -(apart_point_and_line(_16850, _16795))], clausify(ceq1)).
% 1.81/2.46 cnf(13, plain, [convergent_lines(_17663, _17719), -(distinct_lines(_17719, _17774)), -(convergent_lines(_17663, _17774))], clausify(ceq3)).
% 1.81/2.46
% 1.81/2.46 cnf('1',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])],start(1)).
% 1.81/2.46 cnf('1.1',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_lines(1 ^ [], 2 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ []))],extension(11,bind([[_16055, _15898, _15977, _16132], [1 ^ [], intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 2 ^ []]]))).
% 1.81/2.46 cnf('1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_13472, _13528, _13583], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(8,bind([[_13528, _13472, _13583], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(13,bind([[_17719, _17663, _17774], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 1.81/2.46 cnf('1.1.1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(7,bind([[_12813], [1 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_12621], [2 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_12621], [2 ^ []]]))).
% 1.81/2.46 cnf('1.1.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ []), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []))],extension(12,bind([[_16739, _16850, _16795], [intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 1.81/2.46 cnf('1.1.2.1',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []))],extension(5)).
% 1.81/2.46 cnf('1.1.2.1.1',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 4 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []))],extension(12,bind([[_16739, _16850, _16795], [intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []), 4 ^ []]]))).
% 1.81/2.46 cnf('1.1.2.1.1.1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(3 ^ [], 4 ^ []))],reduction('1.1')).
% 1.81/2.46 cnf('1.1.2.1.1.2',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(10,bind([[_15525, _15575], [3 ^ [], 4 ^ []]]))).
% 1.81/2.46 cnf('1.1.2.1.1.2.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 1.81/2.46 cnf('1.1.2.2',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_15152, _15202], [3 ^ [], 4 ^ []]]))).
% 1.81/2.46 cnf('1.1.2.2.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(4)).
% 1.81/2.46 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(9,bind([[_15152, _15202], [1 ^ [], 2 ^ []]]))).
% 1.81/2.46 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 1.81/2.46 cnf('1.1.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(10,bind([[_15525, _15575], [1 ^ [], 2 ^ []]]))).
% 1.81/2.46 cnf('1.1.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(3)).
% 1.81/2.46 cnf('1.1.5',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 2 ^ [])],extension(2)).
% 1.81/2.46 %-----------------------------------------------------
% 1.81/2.46
% 1.81/2.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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