TSTP Solution File: AGT004+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : AGT004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n010.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 15:52:34 EDT 2023

% Result   : Theorem 0.19s 0.66s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  309
% Syntax   : Number of formulae    :  316 (   7 unt; 306 typ;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   24 (  11   ~;   7   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   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   :   12 (   2 sgn;   8   !;   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_1,axiom,
    ! [X1,X2,X3,X4] :
      ( accept_team(X1,X4,X2,X3)
    <=> ( accept_city(X1,X2)
        & accept_leader(X1,X4)
        & accept_number(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(query_4,conjecture,
    ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_4) ).

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

fof(c_0_3,plain,
    ! [X18,X19,X20,X21] :
      ( ( accept_city(X18,X19)
        | ~ accept_team(X18,X21,X19,X20) )
      & ( accept_leader(X18,X21)
        | ~ accept_team(X18,X21,X19,X20) )
      & ( accept_number(X18,X20)
        | ~ accept_team(X18,X21,X19,X20) )
      & ( ~ accept_city(X18,X19)
        | ~ accept_leader(X18,X21)
        | ~ accept_number(X18,X20)
        | accept_team(X18,X21,X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).

fof(c_0_4,negated_conjecture,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_4])]) ).

fof(c_0_5,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(fof_simplification,[status(thm)],[deduced_13]) ).

cnf(c_0_6,plain,
    ( accept_city(X1,X2)
    | ~ accept_team(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    accept_team(countryamedicalorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ~ accept_city(countryamedicalorganization,coastvillage),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : AGT004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 17:05:34 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.66  % Version  : CSE_E---1.5
% 0.19/0.66  % Problem  : theBenchmark.p
% 0.19/0.66  % Proof found
% 0.19/0.66  % SZS status Theorem for theBenchmark.p
% 0.19/0.66  % SZS output start Proof
% See solution above
% 0.19/0.67  % Total time : 0.080000 s
% 0.19/0.67  % SZS output end Proof
% 0.19/0.67  % Total time : 0.094000 s
%------------------------------------------------------------------------------