TSTP Solution File: GEO111+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 05:02:45 EDT 2022
% Result : Theorem 0.56s 1.44s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 18:09:08 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.56/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/1.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/1.46
% 0.56/1.46 %-----------------------------------------------------
% 0.56/1.46 fof(theorem_3_8_1, conjecture, ! [_64861, _64864, _64867, _64870] : (between_c(_64861, _64864, _64867, _64870) => incident_c(_64864, _64861) & incident_c(_64867, _64861) & incident_c(_64870, _64861) & (! _64864) = _64867 & (! _64867) = _64870 & (! _64864) = _64870), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theorem_3_8_1)).
% 0.56/1.46 fof(between_c_defn, axiom, ! [_65259, _65262, _65265, _65268] : (between_c(_65259, _65262, _65265, _65268) <=> (! _65262) = _65268 & ? [_65300] : (part_of(_65300, _65259) & end_point(_65262, _65300) & end_point(_65268, _65300) & inner_point(_65265, _65300))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+1.ax', between_c_defn)).
% 0.56/1.46 fof(part_of_defn, axiom, ! [_65637, _65640] : (part_of(_65640, _65637) <=> ! [_65658] : (incident_c(_65658, _65640) => incident_c(_65658, _65637))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', part_of_defn)).
% 0.56/1.46 fof(end_point_defn, axiom, ! [_65853, _65856] : (end_point(_65853, _65856) <=> incident_c(_65853, _65856) & ! [_65884, _65887] : (part_of(_65884, _65856) & part_of(_65887, _65856) & incident_c(_65853, _65884) & incident_c(_65853, _65887) => part_of(_65884, _65887) | part_of(_65887, _65884))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', end_point_defn)).
% 0.56/1.46 fof(inner_point_defn, axiom, ! [_66209, _66212] : (inner_point(_66209, _66212) <=> incident_c(_66209, _66212) & ~ end_point(_66209, _66212)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax', inner_point_defn)).
% 0.56/1.46
% 0.56/1.46 cnf(1, plain, [-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))], clausify(theorem_3_8_1)).
% 0.56/1.46 cnf(2, plain, [incident_c(16 ^ [], 15 ^ []), incident_c(17 ^ [], 15 ^ []), incident_c(18 ^ [], 15 ^ []), -(16 ^ [] = 17 ^ []), -(17 ^ [] = 18 ^ []), -(16 ^ [] = 18 ^ [])], clausify(theorem_3_8_1)).
% 0.56/1.46 cnf(3, plain, [-(_13652 = _13652)], theory(equality)).
% 0.56/1.46 cnf(4, plain, [-(end_point(_16450, _16581)), end_point(_16383, _16516), _16383 = _16450, _16516 = _16581], theory(equality)).
% 0.56/1.46 cnf(5, plain, [-(inner_point(_17698, _17829)), inner_point(_17631, _17764), _17631 = _17698, _17764 = _17829], theory(equality)).
% 0.56/1.46 cnf(6, plain, [-(part_of(_19666, _19797)), part_of(_19599, _19732), _19599 = _19666, _19732 = _19797], theory(equality)).
% 0.56/1.46 cnf(7, plain, [between_c(_31342, _31430, _31517, _31603), _31430 = _31603], clausify(between_c_defn)).
% 0.56/1.46 cnf(8, plain, [between_c(_31342, _31430, _31517, _31603), -(part_of(14 ^ [_31603, _31517, _31430, _31342], _31342))], clausify(between_c_defn)).
% 0.56/1.46 cnf(9, plain, [between_c(_31342, _31430, _31517, _31603), -(end_point(_31430, 14 ^ [_31603, _31517, _31430, _31342]))], clausify(between_c_defn)).
% 0.56/1.46 cnf(10, plain, [between_c(_31342, _31430, _31517, _31603), -(end_point(_31603, 14 ^ [_31603, _31517, _31430, _31342]))], clausify(between_c_defn)).
% 0.56/1.46 cnf(11, plain, [between_c(_31342, _31430, _31517, _31603), -(inner_point(_31517, 14 ^ [_31603, _31517, _31430, _31342]))], clausify(between_c_defn)).
% 0.56/1.46 cnf(12, plain, [part_of(_21059, _21003), incident_c(_21173, _21059), -(incident_c(_21173, _21003))], clausify(part_of_defn)).
% 0.56/1.46 cnf(13, plain, [end_point(_22149, _22240), -(incident_c(_22149, _22240))], clausify(end_point_defn)).
% 0.56/1.46 cnf(14, plain, [inner_point(_23162, _23215), -(incident_c(_23162, _23215))], clausify(inner_point_defn)).
% 0.56/1.46 cnf(15, plain, [inner_point(_23162, _23215), end_point(_23162, _23215)], clausify(inner_point_defn)).
% 0.56/1.46
% 0.56/1.46 cnf('1',plain,[between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []), 16 ^ [] = 18 ^ []],start(7,bind([[_31342, _31517, _31430, _31603], [15 ^ [], 17 ^ [], 16 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2',plain,[-(16 ^ [] = 18 ^ []), incident_c(16 ^ [], 15 ^ []), incident_c(17 ^ [], 15 ^ []), incident_c(18 ^ [], 15 ^ []), -(16 ^ [] = 17 ^ []), -(17 ^ [] = 18 ^ [])],extension(2)).
% 0.56/1.46 cnf('1.2.1',plain,[-(incident_c(16 ^ [], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), incident_c(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(12,bind([[_21003, _21173, _21059], [15 ^ [], 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.1.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [] = 15 ^ []],extension(6,bind([[_19599, _19666, _19732, _19797], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [], 15 ^ []]]))).
% 0.56/1.46 cnf('1.2.1.1.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(8,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.1.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.1.1.2',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.1.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(3,bind([[_13652], [15 ^ []]]))).
% 0.56/1.46 cnf('1.2.1.2',plain,[-(incident_c(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(13,bind([[_22149, _22240], [16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.1.2.1',plain,[-(end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(9,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.1.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.2',plain,[-(incident_c(17 ^ [], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), incident_c(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(12,bind([[_21003, _21173, _21059], [15 ^ [], 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.2.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [] = 15 ^ []],extension(6,bind([[_19599, _19666, _19732, _19797], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [], 15 ^ []]]))).
% 0.56/1.46 cnf('1.2.2.1.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(8,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.2.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.2.1.2',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.2.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(3,bind([[_13652], [15 ^ []]]))).
% 0.56/1.46 cnf('1.2.2.2',plain,[-(incident_c(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(14,bind([[_23162, _23215], [17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.2.2.1',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.2.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.3',plain,[-(incident_c(18 ^ [], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), incident_c(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(12,bind([[_21003, _21173, _21059], [15 ^ [], 18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.3.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [] = 15 ^ []],extension(6,bind([[_19599, _19666, _19732, _19797], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [], 15 ^ []]]))).
% 0.56/1.46 cnf('1.2.3.1.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(8,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.3.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.3.1.2',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.3.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(3,bind([[_13652], [15 ^ []]]))).
% 0.56/1.46 cnf('1.2.3.2',plain,[-(incident_c(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(13,bind([[_22149, _22240], [18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.3.2.1',plain,[-(end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(10,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.3.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.4',plain,[16 ^ [] = 17 ^ [], -(end_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(4,bind([[_16450, _16383, _16516, _16581], [17 ^ [], 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.4.1',plain,[end_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(15,bind([[_23162, _23215], [17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.4.1.1',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.4.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.4.2',plain,[-(end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 16 ^ [] = 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(4,bind([[_16383, _16450, _16516, _16581], [16 ^ [], 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.4.2.1',plain,[-(end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(9,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.4.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.4.2.2',plain,[-(16 ^ [] = 16 ^ [])],extension(3,bind([[_13652], [16 ^ []]]))).
% 0.56/1.46 cnf('1.2.4.2.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.4.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.5',plain,[17 ^ [] = 18 ^ [], -(inner_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(5,bind([[_17698, _17631, _17764, _17829], [18 ^ [], 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.5.1',plain,[inner_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(15,bind([[_23162, _23215], [18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.5.1.1',plain,[-(end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(10,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.5.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.5.2',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 17 ^ [] = 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(5,bind([[_17631, _17698, _17764, _17829], [17 ^ [], 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.5.2.1',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_31342, _31430, _31517, _31603], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.56/1.46 cnf('1.2.5.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.56/1.46 cnf('1.2.5.2.2',plain,[-(17 ^ [] = 17 ^ [])],extension(3,bind([[_13652], [17 ^ []]]))).
% 0.56/1.46 cnf('1.2.5.2.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 cnf('1.2.5.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13652], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.56/1.46 %-----------------------------------------------------
% 0.66/1.46
% 0.67/1.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------