TSTP Solution File: AGT023+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : AGT023+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 : n020.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 15:52:42 EDT 2023
% Result : Theorem 145.92s 146.07s
% Output : CNFRefutation 145.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 319
% Syntax : Number of formulae : 358 ( 25 unt; 306 typ; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 145 ( 62 ~; 55 |; 22 &)
% ( 2 <=>; 4 =>; 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 : 66 ( 9 sgn; 29 !; 2 ?; 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(query_23,conjecture,
? [X7] : ~ accept_city(X7,citya),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_23) ).
fof(a2_10,axiom,
! [X1] :
( ( accept_population(X1,atheist,n75)
& accept_population(X1,christian,n25)
& accept_population(X1,muslim,n0)
& accept_population(X1,native,n0)
& accept_population(X1,other,n0) )
<=> accept_city(X1,citya) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_10) ).
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(rdn_positive_less_multi_digit_low,axiom,
! [X10,X14,X12] :
( ( rdn_positive_less(rdnn(X10),rdnn(X12))
& rdn_non_zero(X14) )
=> rdn_positive_less(rdn(rdnn(X10),X14),rdn(rdnn(X12),X14)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
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(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
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(a2_9,axiom,
! [X1] :
( ( accept_population(X1,atheist,n75)
& accept_population(X1,christian,n24)
& accept_population(X1,muslim,n1)
& accept_population(X1,native,n0)
& accept_population(X1,other,n0) )
<=> accept_city(X1,towna) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
fof(deduced_366,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_366) ).
fof(rdn25,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn25) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(deduced_204,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_204) ).
fof(rdn24,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).
fof(c_0_13,negated_conjecture,
~ ? [X7] : ~ accept_city(X7,citya),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_23])]) ).
fof(c_0_14,plain,
! [X49] :
( ( ~ accept_population(X49,atheist,n75)
| ~ accept_population(X49,christian,n25)
| ~ accept_population(X49,muslim,n0)
| ~ accept_population(X49,native,n0)
| ~ accept_population(X49,other,n0)
| accept_city(X49,citya) )
& ( accept_population(X49,atheist,n75)
| ~ accept_city(X49,citya) )
& ( accept_population(X49,christian,n25)
| ~ accept_city(X49,citya) )
& ( accept_population(X49,muslim,n0)
| ~ accept_city(X49,citya) )
& ( accept_population(X49,native,n0)
| ~ accept_city(X49,citya) )
& ( accept_population(X49,other,n0)
| ~ accept_city(X49,citya) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_10])])]) ).
fof(c_0_15,negated_conjecture,
! [X88] : accept_city(X88,citya),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_16,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_17,plain,
( accept_population(X1,christian,n25)
| ~ accept_city(X1,citya) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
accept_city(X1,citya),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X60,X61,X62] :
( ~ rdn_positive_less(rdnn(X60),rdnn(X62))
| ~ rdn_non_zero(X61)
| rdn_positive_less(rdn(rdnn(X60),X61),rdn(rdnn(X62),X61)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])]) ).
cnf(c_0_20,plain,
( accept_population(X1,X2,X4)
| ~ accept_population(X1,X2,X3)
| ~ less(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
accept_population(X1,christian,n25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
fof(c_0_22,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_23,plain,
( rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_non_zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
fof(c_0_25,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_26,plain,
! [X48] :
( ( ~ accept_population(X48,atheist,n75)
| ~ accept_population(X48,christian,n24)
| ~ accept_population(X48,muslim,n1)
| ~ accept_population(X48,native,n0)
| ~ accept_population(X48,other,n0)
| accept_city(X48,towna) )
& ( accept_population(X48,atheist,n75)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,christian,n24)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,muslim,n1)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,native,n0)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,other,n0)
| ~ accept_city(X48,towna) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).
cnf(c_0_27,plain,
( accept_population(X1,atheist,n75)
| ~ accept_city(X1,citya) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_28,plain,
( accept_population(X1,native,n0)
| ~ accept_city(X1,citya) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,plain,
( accept_population(X1,other,n0)
| ~ accept_city(X1,citya) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
( accept_population(X1,christian,X2)
| ~ less(X2,n25) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,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_22]) ).
cnf(c_0_32,plain,
( rdn_positive_less(rdn(rdnn(n4),X1),rdn(rdnn(n5),X1))
| ~ rdn_non_zero(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(fof_simplification,[status(thm)],[deduced_366]) ).
cnf(c_0_35,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,other,n0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
accept_population(X1,atheist,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_18])]) ).
cnf(c_0_37,plain,
accept_population(X1,native,n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_18])]) ).
cnf(c_0_38,plain,
accept_population(X1,other,n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_18])]) ).
cnf(c_0_39,plain,
( accept_population(X1,christian,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(n25,rdn_pos(X4))
| ~ rdn_translate(X2,rdn_pos(X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn25]) ).
cnf(c_0_41,plain,
( rdn_positive_less(rdn(rdnn(n4),rdnn(X1)),rdn(rdnn(n5),rdnn(X1)))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_digit2]) ).
cnf(c_0_43,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,muslim,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_45,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(split_conjunct,[status(thm)],[deduced_204]) ).
cnf(c_0_46,plain,
( accept_population(X1,christian,X2)
| ~ rdn_positive_less(X3,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(X2,rdn_pos(X3)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn24]) ).
cnf(c_0_48,plain,
rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_50,plain,
accept_population(X1,christian,n24),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_51,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : AGT023+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n020.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Aug 27 17:09:29 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.50 start to proof: theBenchmark
% 145.92/146.07 % Version : CSE_E---1.5
% 145.92/146.07 % Problem : theBenchmark.p
% 145.92/146.07 % Proof found
% 145.92/146.07 % SZS status Theorem for theBenchmark.p
% 145.92/146.07 % SZS output start Proof
% See solution above
% 145.92/146.08 % Total time : 145.505000 s
% 145.92/146.08 % SZS output end Proof
% 145.92/146.08 % Total time : 145.521000 s
%------------------------------------------------------------------------------