TSTP Solution File: AGT010+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : AGT010+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n016.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  : 300s
% DateTime : Wed Aug 30 15:52:37 EDT 2023

% Result   : Theorem 153.89s 153.87s
% Output   : CNFRefutation 153.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  329
% Syntax   : Number of formulae    :  382 (  40 unt; 306 typ;   0 def)
%            Number of atoms       :  156 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  147 (  67   ~;  60   |;  13   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   42 (  20   >;  22   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-4 aty)
%            Number of functors    :  290 ( 290 usr; 286 con; 0-2 aty)
%            Number of variables   :   86 (  10 sgn;  40   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    accept_team: ( $i * $i * $i * $i ) > $o ).

tff(decl_23,type,
    accept_city: ( $i * $i ) > $o ).

tff(decl_24,type,
    accept_leader: ( $i * $i ) > $o ).

tff(decl_25,type,
    accept_number: ( $i * $i ) > $o ).

tff(decl_26,type,
    less: ( $i * $i ) > $o ).

tff(decl_27,type,
    accept_population: ( $i * $i * $i ) > $o ).

tff(decl_28,type,
    the_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o ).

tff(decl_29,type,
    any_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o ).

tff(decl_30,type,
    the_agent_not_in_any_proposed_teams: ( $i * $i * $i ) > $o ).

tff(decl_31,type,
    min_number_of_proposed_agents: ( $i * $i ) > $o ).

tff(decl_32,type,
    atheist: $i ).

tff(decl_33,type,
    n65: $i ).

tff(decl_34,type,
    christian: $i ).

tff(decl_35,type,
    n20: $i ).

tff(decl_36,type,
    muslim: $i ).

tff(decl_37,type,
    n7: $i ).

tff(decl_38,type,
    native: $i ).

tff(decl_39,type,
    n4: $i ).

tff(decl_40,type,
    other: $i ).

tff(decl_41,type,
    suffertown: $i ).

tff(decl_42,type,
    n54: $i ).

tff(decl_43,type,
    n23: $i ).

tff(decl_44,type,
    n3: $i ).

tff(decl_45,type,
    n1: $i ).

tff(decl_46,type,
    n9: $i ).

tff(decl_47,type,
    centraltown: $i ).

tff(decl_48,type,
    n30: $i ).

tff(decl_49,type,
    n8: $i ).

tff(decl_50,type,
    n60: $i ).

tff(decl_51,type,
    sunnysideport: $i ).

tff(decl_52,type,
    n70: $i ).

tff(decl_53,type,
    n15: $i ).

tff(decl_54,type,
    n10: $i ).

tff(decl_55,type,
    centrallakecity: $i ).

tff(decl_56,type,
    n68: $i ).

tff(decl_57,type,
    n16: $i ).

tff(decl_58,type,
    n11: $i ).

tff(decl_59,type,
    stjosephburgh: $i ).

tff(decl_60,type,
    n13: $i ).

tff(decl_61,type,
    n0: $i ).

tff(decl_62,type,
    n2: $i ).

tff(decl_63,type,
    northport: $i ).

tff(decl_64,type,
    n12: $i ).

tff(decl_65,type,
    n85: $i ).

tff(decl_66,type,
    coastvillage: $i ).

tff(decl_67,type,
    n100: $i ).

tff(decl_68,type,
    sunsetpoint: $i ).

tff(decl_69,type,
    n75: $i ).

tff(decl_70,type,
    n24: $i ).

tff(decl_71,type,
    towna: $i ).

tff(decl_72,type,
    n25: $i ).

tff(decl_73,type,
    citya: $i ).

tff(decl_74,type,
    townb: $i ).

tff(decl_75,type,
    n78: $i ).

tff(decl_76,type,
    cityb: $i ).

tff(decl_77,type,
    n5: $i ).

tff(decl_78,type,
    townc: $i ).

tff(decl_79,type,
    countryahumanitarianorganization: $i ).

tff(decl_80,type,
    countryacivilorganization: $i ).

tff(decl_81,type,
    n6: $i ).

tff(decl_82,type,
    countryafirstaidorganization: $i ).

tff(decl_83,type,
    christiancountrychumanitarianorganization: $i ).

tff(decl_84,type,
    countryccivilorganization: $i ).

tff(decl_85,type,
    countrybhumanitarianorganization: $i ).

tff(decl_86,type,
    muslimcountrybhumanitarianorganization: $i ).

tff(decl_87,type,
    countrycmedicalorganization: $i ).

tff(decl_88,type,
    countryamedicalorganization: $i ).

tff(decl_89,type,
    countrybcivilorganization: $i ).

tff(decl_90,type,
    christiansufferterrahumanitarianorganization: $i ).

tff(decl_91,type,
    sufferterragovernment: $i ).

tff(decl_92,type,
    rdnn: $i > $i ).

tff(decl_93,type,
    rdn_pos: $i > $i ).

tff(decl_94,type,
    rdn_translate: ( $i * $i ) > $o ).

tff(decl_95,type,
    rdn: ( $i * $i ) > $i ).

tff(decl_96,type,
    n14: $i ).

tff(decl_97,type,
    n17: $i ).

tff(decl_98,type,
    n18: $i ).

tff(decl_99,type,
    n19: $i ).

tff(decl_100,type,
    n21: $i ).

tff(decl_101,type,
    n22: $i ).

tff(decl_102,type,
    n26: $i ).

tff(decl_103,type,
    n27: $i ).

tff(decl_104,type,
    n28: $i ).

tff(decl_105,type,
    n29: $i ).

tff(decl_106,type,
    n31: $i ).

tff(decl_107,type,
    n32: $i ).

tff(decl_108,type,
    n33: $i ).

tff(decl_109,type,
    n34: $i ).

tff(decl_110,type,
    n35: $i ).

tff(decl_111,type,
    n36: $i ).

tff(decl_112,type,
    n37: $i ).

tff(decl_113,type,
    n38: $i ).

tff(decl_114,type,
    n39: $i ).

tff(decl_115,type,
    n40: $i ).

tff(decl_116,type,
    n41: $i ).

tff(decl_117,type,
    n42: $i ).

tff(decl_118,type,
    n43: $i ).

tff(decl_119,type,
    n44: $i ).

tff(decl_120,type,
    n45: $i ).

tff(decl_121,type,
    n46: $i ).

tff(decl_122,type,
    n47: $i ).

tff(decl_123,type,
    n48: $i ).

tff(decl_124,type,
    n49: $i ).

tff(decl_125,type,
    n50: $i ).

tff(decl_126,type,
    n51: $i ).

tff(decl_127,type,
    n52: $i ).

tff(decl_128,type,
    n53: $i ).

tff(decl_129,type,
    n55: $i ).

tff(decl_130,type,
    n56: $i ).

tff(decl_131,type,
    n57: $i ).

tff(decl_132,type,
    n58: $i ).

tff(decl_133,type,
    n59: $i ).

tff(decl_134,type,
    n61: $i ).

tff(decl_135,type,
    n62: $i ).

tff(decl_136,type,
    n63: $i ).

tff(decl_137,type,
    n64: $i ).

tff(decl_138,type,
    n66: $i ).

tff(decl_139,type,
    n67: $i ).

tff(decl_140,type,
    n69: $i ).

tff(decl_141,type,
    n71: $i ).

tff(decl_142,type,
    n72: $i ).

tff(decl_143,type,
    n73: $i ).

tff(decl_144,type,
    n74: $i ).

tff(decl_145,type,
    n76: $i ).

tff(decl_146,type,
    n77: $i ).

tff(decl_147,type,
    n79: $i ).

tff(decl_148,type,
    n80: $i ).

tff(decl_149,type,
    n81: $i ).

tff(decl_150,type,
    n82: $i ).

tff(decl_151,type,
    n83: $i ).

tff(decl_152,type,
    n84: $i ).

tff(decl_153,type,
    n86: $i ).

tff(decl_154,type,
    n87: $i ).

tff(decl_155,type,
    n88: $i ).

tff(decl_156,type,
    n89: $i ).

tff(decl_157,type,
    n90: $i ).

tff(decl_158,type,
    n91: $i ).

tff(decl_159,type,
    n92: $i ).

tff(decl_160,type,
    n93: $i ).

tff(decl_161,type,
    n94: $i ).

tff(decl_162,type,
    n95: $i ).

tff(decl_163,type,
    n96: $i ).

tff(decl_164,type,
    n97: $i ).

tff(decl_165,type,
    n98: $i ).

tff(decl_166,type,
    n99: $i ).

tff(decl_167,type,
    n101: $i ).

tff(decl_168,type,
    n102: $i ).

tff(decl_169,type,
    n103: $i ).

tff(decl_170,type,
    n104: $i ).

tff(decl_171,type,
    n105: $i ).

tff(decl_172,type,
    n106: $i ).

tff(decl_173,type,
    n107: $i ).

tff(decl_174,type,
    n108: $i ).

tff(decl_175,type,
    n109: $i ).

tff(decl_176,type,
    n110: $i ).

tff(decl_177,type,
    n111: $i ).

tff(decl_178,type,
    n112: $i ).

tff(decl_179,type,
    n113: $i ).

tff(decl_180,type,
    n114: $i ).

tff(decl_181,type,
    n115: $i ).

tff(decl_182,type,
    n116: $i ).

tff(decl_183,type,
    n117: $i ).

tff(decl_184,type,
    n118: $i ).

tff(decl_185,type,
    n119: $i ).

tff(decl_186,type,
    n120: $i ).

tff(decl_187,type,
    n121: $i ).

tff(decl_188,type,
    n122: $i ).

tff(decl_189,type,
    n123: $i ).

tff(decl_190,type,
    n124: $i ).

tff(decl_191,type,
    n125: $i ).

tff(decl_192,type,
    n126: $i ).

tff(decl_193,type,
    n127: $i ).

tff(decl_194,type,
    nn1: $i ).

tff(decl_195,type,
    rdn_neg: $i > $i ).

tff(decl_196,type,
    nn2: $i ).

tff(decl_197,type,
    nn3: $i ).

tff(decl_198,type,
    nn4: $i ).

tff(decl_199,type,
    nn5: $i ).

tff(decl_200,type,
    nn6: $i ).

tff(decl_201,type,
    nn7: $i ).

tff(decl_202,type,
    nn8: $i ).

tff(decl_203,type,
    nn9: $i ).

tff(decl_204,type,
    nn10: $i ).

tff(decl_205,type,
    nn11: $i ).

tff(decl_206,type,
    nn12: $i ).

tff(decl_207,type,
    nn13: $i ).

tff(decl_208,type,
    nn14: $i ).

tff(decl_209,type,
    nn15: $i ).

tff(decl_210,type,
    nn16: $i ).

tff(decl_211,type,
    nn17: $i ).

tff(decl_212,type,
    nn18: $i ).

tff(decl_213,type,
    nn19: $i ).

tff(decl_214,type,
    nn20: $i ).

tff(decl_215,type,
    nn21: $i ).

tff(decl_216,type,
    nn22: $i ).

tff(decl_217,type,
    nn23: $i ).

tff(decl_218,type,
    nn24: $i ).

tff(decl_219,type,
    nn25: $i ).

tff(decl_220,type,
    nn26: $i ).

tff(decl_221,type,
    nn27: $i ).

tff(decl_222,type,
    nn28: $i ).

tff(decl_223,type,
    nn29: $i ).

tff(decl_224,type,
    nn30: $i ).

tff(decl_225,type,
    nn31: $i ).

tff(decl_226,type,
    nn32: $i ).

tff(decl_227,type,
    nn33: $i ).

tff(decl_228,type,
    nn34: $i ).

tff(decl_229,type,
    nn35: $i ).

tff(decl_230,type,
    nn36: $i ).

tff(decl_231,type,
    nn37: $i ).

tff(decl_232,type,
    nn38: $i ).

tff(decl_233,type,
    nn39: $i ).

tff(decl_234,type,
    nn40: $i ).

tff(decl_235,type,
    nn41: $i ).

tff(decl_236,type,
    nn42: $i ).

tff(decl_237,type,
    nn43: $i ).

tff(decl_238,type,
    nn44: $i ).

tff(decl_239,type,
    nn45: $i ).

tff(decl_240,type,
    nn46: $i ).

tff(decl_241,type,
    nn47: $i ).

tff(decl_242,type,
    nn48: $i ).

tff(decl_243,type,
    nn49: $i ).

tff(decl_244,type,
    nn50: $i ).

tff(decl_245,type,
    nn51: $i ).

tff(decl_246,type,
    nn52: $i ).

tff(decl_247,type,
    nn53: $i ).

tff(decl_248,type,
    nn54: $i ).

tff(decl_249,type,
    nn55: $i ).

tff(decl_250,type,
    nn56: $i ).

tff(decl_251,type,
    nn57: $i ).

tff(decl_252,type,
    nn58: $i ).

tff(decl_253,type,
    nn59: $i ).

tff(decl_254,type,
    nn60: $i ).

tff(decl_255,type,
    nn61: $i ).

tff(decl_256,type,
    nn62: $i ).

tff(decl_257,type,
    nn63: $i ).

tff(decl_258,type,
    nn64: $i ).

tff(decl_259,type,
    nn65: $i ).

tff(decl_260,type,
    nn66: $i ).

tff(decl_261,type,
    nn67: $i ).

tff(decl_262,type,
    nn68: $i ).

tff(decl_263,type,
    nn69: $i ).

tff(decl_264,type,
    nn70: $i ).

tff(decl_265,type,
    nn71: $i ).

tff(decl_266,type,
    nn72: $i ).

tff(decl_267,type,
    nn73: $i ).

tff(decl_268,type,
    nn74: $i ).

tff(decl_269,type,
    nn75: $i ).

tff(decl_270,type,
    nn76: $i ).

tff(decl_271,type,
    nn77: $i ).

tff(decl_272,type,
    nn78: $i ).

tff(decl_273,type,
    nn79: $i ).

tff(decl_274,type,
    nn80: $i ).

tff(decl_275,type,
    nn81: $i ).

tff(decl_276,type,
    nn82: $i ).

tff(decl_277,type,
    nn83: $i ).

tff(decl_278,type,
    nn84: $i ).

tff(decl_279,type,
    nn85: $i ).

tff(decl_280,type,
    nn86: $i ).

tff(decl_281,type,
    nn87: $i ).

tff(decl_282,type,
    nn88: $i ).

tff(decl_283,type,
    nn89: $i ).

tff(decl_284,type,
    nn90: $i ).

tff(decl_285,type,
    nn91: $i ).

tff(decl_286,type,
    nn92: $i ).

tff(decl_287,type,
    nn93: $i ).

tff(decl_288,type,
    nn94: $i ).

tff(decl_289,type,
    nn95: $i ).

tff(decl_290,type,
    nn96: $i ).

tff(decl_291,type,
    nn97: $i ).

tff(decl_292,type,
    nn98: $i ).

tff(decl_293,type,
    nn99: $i ).

tff(decl_294,type,
    nn100: $i ).

tff(decl_295,type,
    nn101: $i ).

tff(decl_296,type,
    nn102: $i ).

tff(decl_297,type,
    nn103: $i ).

tff(decl_298,type,
    nn104: $i ).

tff(decl_299,type,
    nn105: $i ).

tff(decl_300,type,
    nn106: $i ).

tff(decl_301,type,
    nn107: $i ).

tff(decl_302,type,
    nn108: $i ).

tff(decl_303,type,
    nn109: $i ).

tff(decl_304,type,
    nn110: $i ).

tff(decl_305,type,
    nn111: $i ).

tff(decl_306,type,
    nn112: $i ).

tff(decl_307,type,
    nn113: $i ).

tff(decl_308,type,
    nn114: $i ).

tff(decl_309,type,
    nn115: $i ).

tff(decl_310,type,
    nn116: $i ).

tff(decl_311,type,
    nn117: $i ).

tff(decl_312,type,
    nn118: $i ).

tff(decl_313,type,
    nn119: $i ).

tff(decl_314,type,
    nn120: $i ).

tff(decl_315,type,
    nn121: $i ).

tff(decl_316,type,
    nn122: $i ).

tff(decl_317,type,
    nn123: $i ).

tff(decl_318,type,
    nn124: $i ).

tff(decl_319,type,
    nn125: $i ).

tff(decl_320,type,
    nn126: $i ).

tff(decl_321,type,
    nn127: $i ).

tff(decl_322,type,
    nn128: $i ).

tff(decl_323,type,
    rdn_non_zero_digit: $i > $o ).

tff(decl_324,type,
    rdn_positive_less: ( $i * $i ) > $o ).

tff(decl_325,type,
    rdn_non_zero: $i > $o ).

tff(decl_326,type,
    less_or_equal: ( $i * $i ) > $o ).

tff(decl_327,type,
    sum: ( $i * $i * $i ) > $o ).

fof(a1_3,axiom,
    ! [X1,X3,X5,X6] :
      ( ( accept_population(X1,X6,X3)
        & less(X5,X3) )
     => accept_population(X1,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).

fof(deduced_18,axiom,
    accept_population(countryamedicalorganization,atheist,n30),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_18) ).

fof(less_entry_point_pos_pos,axiom,
    ! [X7,X8,X16,X17] :
      ( ( rdn_translate(X7,rdn_pos(X16))
        & rdn_translate(X8,rdn_pos(X17))
        & rdn_positive_less(X16,X17) )
     => less(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(rdn30,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn30) ).

fof(rdn12,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn12) ).

fof(rdn_positive_less_multi_digit_high,axiom,
    ! [X10,X11,X12,X13] :
      ( rdn_positive_less(X11,X13)
     => rdn_positive_less(rdn(rdnn(X10),X11),rdn(rdnn(X12),X13)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

fof(rdn_positive_less_transitivity,axiom,
    ! [X7,X8,X9] :
      ( ( rdn_positive_less(rdnn(X7),rdnn(X8))
        & rdn_positive_less(rdnn(X8),rdnn(X9)) )
     => rdn_positive_less(rdnn(X7),rdnn(X9)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

fof(deduced_211,axiom,
    accept_population(countryamedicalorganization,christian,n20),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_211) ).

fof(rdn_extra_digits_positive_less,axiom,
    ! [X15,X12,X13] :
      ( rdn_non_zero(X13)
     => rdn_positive_less(rdnn(X15),rdn(rdnn(X12),X13)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).

fof(rdn_non_zero_by_digit,axiom,
    ! [X7] :
      ( rdn_non_zero_digit(rdnn(X7))
     => rdn_non_zero(rdnn(X7)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(deduced_13,axiom,
    ~ accept_city(countryamedicalorganization,coastvillage),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_13) ).

fof(a2_7,axiom,
    ! [X1] :
      ( ( accept_population(X1,atheist,n12)
        & accept_population(X1,christian,n3)
        & accept_population(X1,muslim,n0)
        & accept_population(X1,native,n85)
        & accept_population(X1,other,n0) )
    <=> accept_city(X1,coastvillage) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).

fof(query_10,conjecture,
    ~ accept_population(countryamedicalorganization,native,n85),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_10) ).

fof(rdn_positive_less23,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(deduced_16,axiom,
    accept_population(countryamedicalorganization,muslim,n65),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_16) ).

fof(deduced_220,axiom,
    accept_population(countryamedicalorganization,other,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_220) ).

fof(rdn_positive_less12,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

fof(rdn20,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn20) ).

fof(rdn_digit2,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

fof(rdn3,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(rdn65,axiom,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn65) ).

fof(rdn_digit6,axiom,
    rdn_non_zero_digit(rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).

fof(rdn0,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).

fof(c_0_23,plain,
    ! [X25,X26,X27,X28] :
      ( ~ accept_population(X25,X28,X26)
      | ~ less(X27,X26)
      | accept_population(X25,X28,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])]) ).

cnf(c_0_24,plain,
    ( accept_population(X1,X2,X4)
    | ~ accept_population(X1,X2,X3)
    | ~ less(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_25,plain,
    accept_population(countryamedicalorganization,atheist,n30),
    inference(split_conjunct,[status(thm)],[deduced_18]) ).

fof(c_0_26,plain,
    ! [X69,X70,X71,X72] :
      ( ~ rdn_translate(X69,rdn_pos(X71))
      | ~ rdn_translate(X70,rdn_pos(X72))
      | ~ rdn_positive_less(X71,X72)
      | less(X69,X70) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).

cnf(c_0_27,plain,
    ( accept_population(countryamedicalorganization,atheist,X1)
    | ~ less(X1,n30) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_29,plain,
    ( accept_population(countryamedicalorganization,atheist,X1)
    | ~ rdn_positive_less(X2,X3)
    | ~ rdn_translate(n30,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn30]) ).

cnf(c_0_31,plain,
    ( accept_population(countryamedicalorganization,atheist,X1)
    | ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n3)))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn12]) ).

fof(c_0_33,plain,
    ! [X56,X57,X58,X59] :
      ( ~ rdn_positive_less(X57,X59)
      | rdn_positive_less(rdn(rdnn(X56),X57),rdn(rdnn(X58),X59)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).

fof(c_0_34,plain,
    ! [X53,X54,X55] :
      ( ~ rdn_positive_less(rdnn(X53),rdnn(X54))
      | ~ rdn_positive_less(rdnn(X54),rdnn(X55))
      | rdn_positive_less(rdnn(X53),rdnn(X55)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).

cnf(c_0_35,plain,
    accept_population(countryamedicalorganization,christian,n20),
    inference(split_conjunct,[status(thm)],[deduced_211]) ).

fof(c_0_36,plain,
    ! [X63,X64,X65] :
      ( ~ rdn_non_zero(X65)
      | rdn_positive_less(rdnn(X63),rdn(rdnn(X64),X65)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).

fof(c_0_37,plain,
    ! [X66] :
      ( ~ rdn_non_zero_digit(rdnn(X66))
      | rdn_non_zero(rdnn(X66)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).

fof(c_0_38,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(fof_simplification,[status(thm)],[deduced_13]) ).

fof(c_0_39,plain,
    ! [X46] :
      ( ( ~ accept_population(X46,atheist,n12)
        | ~ accept_population(X46,christian,n3)
        | ~ accept_population(X46,muslim,n0)
        | ~ accept_population(X46,native,n85)
        | ~ accept_population(X46,other,n0)
        | accept_city(X46,coastvillage) )
      & ( accept_population(X46,atheist,n12)
        | ~ accept_city(X46,coastvillage) )
      & ( accept_population(X46,christian,n3)
        | ~ accept_city(X46,coastvillage) )
      & ( accept_population(X46,muslim,n0)
        | ~ accept_city(X46,coastvillage) )
      & ( accept_population(X46,native,n85)
        | ~ accept_city(X46,coastvillage) )
      & ( accept_population(X46,other,n0)
        | ~ accept_city(X46,coastvillage) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_7])])]) ).

fof(c_0_40,negated_conjecture,
    accept_population(countryamedicalorganization,native,n85),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_10])]) ).

cnf(c_0_41,plain,
    ( accept_population(countryamedicalorganization,atheist,n12)
    | ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n0),rdnn(n3))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_42,plain,
    ( rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2))
    | ~ rdn_positive_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X2),rdnn(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).

cnf(c_0_45,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ less(X1,n20) ),
    inference(spm,[status(thm)],[c_0_24,c_0_35]) ).

cnf(c_0_46,plain,
    ( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
    | ~ rdn_non_zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_47,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_48,plain,
    accept_population(countryamedicalorganization,muslim,n65),
    inference(split_conjunct,[status(thm)],[deduced_16]) ).

cnf(c_0_49,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_50,plain,
    ( accept_city(X1,coastvillage)
    | ~ accept_population(X1,atheist,n12)
    | ~ accept_population(X1,christian,n3)
    | ~ accept_population(X1,muslim,n0)
    | ~ accept_population(X1,native,n85)
    | ~ accept_population(X1,other,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_51,negated_conjecture,
    accept_population(countryamedicalorganization,native,n85),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_52,plain,
    accept_population(countryamedicalorganization,other,n0),
    inference(split_conjunct,[status(thm)],[deduced_220]) ).

cnf(c_0_53,plain,
    ( accept_population(countryamedicalorganization,atheist,n12)
    | ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_54,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n2)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_55,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).

cnf(c_0_56,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ rdn_positive_less(X2,X3)
    | ~ rdn_translate(n20,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_28]) ).

cnf(c_0_57,plain,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn20]) ).

cnf(c_0_58,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(X3)))
    | ~ rdn_non_zero_digit(rdnn(X3)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_59,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(split_conjunct,[status(thm)],[rdn_digit2]) ).

cnf(c_0_60,plain,
    ( accept_population(countryamedicalorganization,muslim,X1)
    | ~ less(X1,n65) ),
    inference(spm,[status(thm)],[c_0_24,c_0_48]) ).

cnf(c_0_61,plain,
    ( ~ accept_population(countryamedicalorganization,atheist,n12)
    | ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,muslim,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_62,plain,
    accept_population(countryamedicalorganization,atheist,n12),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_63,plain,
    ( accept_population(countryamedicalorganization,christian,X1)
    | ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n2)))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[rdn3]) ).

cnf(c_0_65,plain,
    rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n2))),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    ( accept_population(countryamedicalorganization,muslim,X1)
    | ~ rdn_positive_less(X2,X3)
    | ~ rdn_translate(n65,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_28]) ).

cnf(c_0_67,plain,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn65]) ).

cnf(c_0_68,plain,
    rdn_non_zero_digit(rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_digit6]) ).

cnf(c_0_69,plain,
    ( ~ accept_population(countryamedicalorganization,christian,n3)
    | ~ accept_population(countryamedicalorganization,muslim,n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).

cnf(c_0_70,plain,
    accept_population(countryamedicalorganization,christian,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_71,plain,
    ( accept_population(countryamedicalorganization,muslim,X1)
    | ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n6)))
    | ~ rdn_translate(X1,rdn_pos(X2)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(split_conjunct,[status(thm)],[rdn0]) ).

cnf(c_0_73,plain,
    rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n6))),
    inference(spm,[status(thm)],[c_0_58,c_0_68]) ).

cnf(c_0_74,plain,
    ~ accept_population(countryamedicalorganization,muslim,n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).

cnf(c_0_75,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : AGT010+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 17:46:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 153.89/153.87  % Version  : CSE_E---1.5
% 153.89/153.87  % Problem  : theBenchmark.p
% 153.89/153.87  % Proof found
% 153.89/153.87  % SZS status Theorem for theBenchmark.p
% 153.89/153.87  % SZS output start Proof
% See solution above
% 153.89/153.89  % Total time : 153.286000 s
% 153.89/153.89  % SZS output end Proof
% 153.89/153.89  % Total time : 153.306000 s
%------------------------------------------------------------------------------