%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 05:03:23 EDT 2022
% Result : Theorem 0.25s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 17 15:36:32 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.25/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/1.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/1.39
% 0.25/1.39 %-----------------------------------------------------
% 0.25/1.39 fof(con, conjecture, ! [_41237, _41240, _41243, _41246] : (distinct_points(_41237, _41240) & convergent_lines(_41243, _41246) & incident_point_and_line(_41237, _41243) & incident_point_and_line(_41237, _41246) => equal_points(_41237, intersection_point(_41243, _41246))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.25/1.39 fof(apart1, axiom, ! [_41538] : ~ distinct_points(_41538, _41538), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.25/1.39 fof(apart3, axiom, ! [_41653] : ~ convergent_lines(_41653, _41653), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.25/1.39 fof(apart4, axiom, ! [_41767, _41770, _41773] : (distinct_points(_41767, _41770) => distinct_points(_41767, _41773) | distinct_points(_41770, _41773)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.25/1.39 fof(ci3, axiom, ! [_41956, _41959] : (convergent_lines(_41956, _41959) => ~ apart_point_and_line(intersection_point(_41956, _41959), _41956)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.25/1.39 fof(ci4, axiom, ! [_42125, _42128] : (convergent_lines(_42125, _42128) => ~ apart_point_and_line(intersection_point(_42125, _42128), _42128)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.25/1.39 fof(cu1, axiom, ! [_42294, _42297, _42300, _42303] : (distinct_points(_42294, _42297) & distinct_lines(_42300, _42303) => apart_point_and_line(_42294, _42300) | apart_point_and_line(_42294, _42303) | apart_point_and_line(_42297, _42300) | apart_point_and_line(_42297, _42303)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.25/1.39 fof(ceq3, axiom, ! [_42576, _42579, _42582] : (convergent_lines(_42576, _42579) => distinct_lines(_42579, _42582) | convergent_lines(_42576, _42582)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.25/1.39 fof(ax1, axiom, ! [_42784, _42787] : (equal_points(_42784, _42787) <=> ~ distinct_points(_42784, _42787)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax1)).
% 0.25/1.39 fof(a4, axiom, ! [_42941, _42944] : (incident_point_and_line(_42941, _42944) <=> ~ apart_point_and_line(_42941, _42944)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.25/1.39
% 0.25/1.39 cnf(1, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.25/1.39 cnf(2, plain, [-(incident_point_and_line(1 ^ [], 3 ^ []))], clausify(con)).
% 0.25/1.39 cnf(3, plain, [-(incident_point_and_line(1 ^ [], 4 ^ []))], clausify(con)).
% 0.25/1.39 cnf(4, plain, [equal_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))], clausify(con)).
% 0.25/1.39 cnf(5, plain, [distinct_points(_12341, _12341)], clausify(apart1)).
% 0.25/1.39 cnf(6, plain, [convergent_lines(_12725, _12725)], clausify(apart3)).
% 0.25/1.39 cnf(7, plain, [distinct_points(_12917, _12973), -(distinct_points(_12917, _13028)), -(distinct_points(_12973, _13028))], clausify(apart4)).
% 0.25/1.39 cnf(8, plain, [convergent_lines(_15064, _15114), apart_point_and_line(intersection_point(_15064, _15114), _15064)], clausify(ci3)).
% 0.25/1.39 cnf(9, plain, [convergent_lines(_15437, _15487), apart_point_and_line(intersection_point(_15437, _15487), _15487)], clausify(ci4)).
% 0.25/1.39 cnf(10, plain, [distinct_lines(_15967, _16044), distinct_points(_15810, _15889), -(apart_point_and_line(_15810, _15967)), -(apart_point_and_line(_15810, _16044)), -(apart_point_and_line(_15889, _15967)), -(apart_point_and_line(_15889, _16044))], clausify(cu1)).
% 0.25/1.39 cnf(11, plain, [convergent_lines(_17575, _17631), -(distinct_lines(_17631, _17686)), -(convergent_lines(_17575, _17686))], clausify(ceq3)).
% 0.25/1.39 cnf(12, plain, [-(equal_points(_25645, _25692)), -(distinct_points(_25645, _25692))], clausify(ax1)).
% 0.25/1.39 cnf(13, plain, [incident_point_and_line(_26635, _26682), apart_point_and_line(_26635, _26682)], clausify(a4)).
% 0.25/1.39
% 0.25/1.39 cnf('1',plain,[convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])],start(8,bind([[_15114, _15064], [4 ^ [], 3 ^ []]]))).
% 0.25/1.39 cnf('1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.25/1.39 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), distinct_lines(4 ^ [], 3 ^ []), distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ [])), -(apart_point_and_line(1 ^ [], 3 ^ []))],extension(10,bind([[_15810, _15967, _15889, _16044], [intersection_point(3 ^ [], 4 ^ []), 4 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.25/1.39 cnf('1.2.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 4 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(11,bind([[_17631, _17575, _17686], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.25/1.39 cnf('1.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.25/1.39 cnf('1.2.1.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_12725], [3 ^ []]]))).
% 0.25/1.39 cnf('1.2.2',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_12973, _12917, _13028], [intersection_point(3 ^ [], 4 ^ []), 1 ^ [], 1 ^ []]]))).
% 0.25/1.39 cnf('1.2.2.1',plain,[-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))), -(equal_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))],extension(12,bind([[_25645, _25692], [1 ^ [], intersection_point(3 ^ [], 4 ^ [])]]))).
% 0.25/1.39 cnf('1.2.2.1.1',plain,[equal_points(1 ^ [], intersection_point(3 ^ [], 4 ^ []))],extension(4)).
% 0.25/1.39 cnf('1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_12341], [1 ^ []]]))).
% 0.25/1.39 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_15437, _15487], [3 ^ [], 4 ^ []]]))).
% 0.25/1.39 cnf('1.2.3.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.25/1.39 cnf('1.2.4',plain,[apart_point_and_line(1 ^ [], 4 ^ []), incident_point_and_line(1 ^ [], 4 ^ [])],extension(13,bind([[_26635, _26682], [1 ^ [], 4 ^ []]]))).
% 0.25/1.39 cnf('1.2.4.1',plain,[-(incident_point_and_line(1 ^ [], 4 ^ []))],extension(3)).
% 0.25/1.39 cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], 3 ^ []), incident_point_and_line(1 ^ [], 3 ^ [])],extension(13,bind([[_26635, _26682], [1 ^ [], 3 ^ []]]))).
% 0.25/1.39 cnf('1.2.5.1',plain,[-(incident_point_and_line(1 ^ [], 3 ^ []))],extension(2)).
% 0.25/1.39 %-----------------------------------------------------
% 0.32/1.39
% 0.32/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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