TSTP Solution File: NUN056+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUN056+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : Thu Aug 31 12:45:45 EDT 2023
% Result : Theorem 63.11s 63.46s
% Output : CNFRefutation 63.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 908
% Syntax : Number of formulae : 1006 ( 37 unt; 895 typ; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 471 ( 208 ~; 191 |; 72 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 24 >; 16 *; 0 +; 0 <<)
% Number of predicates : 876 ( 875 usr; 871 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 306 ( 9 sgn; 92 !; 35 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
id: ( $i * $i ) > $o ).
tff(decl_23,type,
r1: $i > $o ).
tff(decl_24,type,
r2: ( $i * $i ) > $o ).
tff(decl_25,type,
r3: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
r4: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
esk1_0: $i ).
tff(decl_28,type,
esk2_1: $i > $i ).
tff(decl_29,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_30,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_31,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_32,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_33,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk13_1: $i > $i ).
tff(decl_40,type,
esk14_1: $i > $i ).
tff(decl_41,type,
esk15_1: $i > $i ).
tff(decl_42,type,
esk16_1: $i > $i ).
tff(decl_43,type,
esk17_1: $i > $i ).
tff(decl_44,type,
esk18_1: $i > $i ).
tff(decl_45,type,
esk19_1: $i > $i ).
tff(decl_46,type,
esk20_1: $i > $i ).
tff(decl_47,type,
epred1_0: $o ).
tff(decl_48,type,
epred2_0: $o ).
tff(decl_49,type,
epred3_0: $o ).
tff(decl_50,type,
epred4_0: $o ).
tff(decl_51,type,
epred5_0: $o ).
tff(decl_52,type,
epred6_0: $o ).
tff(decl_53,type,
epred7_0: $o ).
tff(decl_54,type,
epred8_0: $o ).
tff(decl_55,type,
epred9_0: $o ).
tff(decl_56,type,
epred10_0: $o ).
tff(decl_57,type,
epred11_0: $o ).
tff(decl_58,type,
epred12_0: $o ).
tff(decl_59,type,
epred13_0: $o ).
tff(decl_60,type,
epred14_0: $o ).
tff(decl_61,type,
epred15_0: $o ).
tff(decl_62,type,
epred16_0: $o ).
tff(decl_63,type,
epred17_0: $o ).
tff(decl_64,type,
epred18_0: $o ).
tff(decl_65,type,
epred19_0: $o ).
tff(decl_66,type,
epred20_0: $o ).
tff(decl_67,type,
epred21_0: $o ).
tff(decl_68,type,
epred22_0: $o ).
tff(decl_69,type,
epred23_0: $o ).
tff(decl_70,type,
epred24_0: $o ).
tff(decl_71,type,
epred25_0: $o ).
tff(decl_72,type,
epred26_0: $o ).
tff(decl_73,type,
epred27_0: $o ).
tff(decl_74,type,
epred28_0: $o ).
tff(decl_75,type,
epred29_0: $o ).
tff(decl_76,type,
epred30_0: $o ).
tff(decl_77,type,
epred31_0: $o ).
tff(decl_78,type,
epred32_0: $o ).
tff(decl_79,type,
epred33_0: $o ).
tff(decl_80,type,
epred34_0: $o ).
tff(decl_81,type,
epred35_0: $o ).
tff(decl_82,type,
epred36_0: $o ).
tff(decl_83,type,
epred37_0: $o ).
tff(decl_84,type,
epred38_0: $o ).
tff(decl_85,type,
epred39_0: $o ).
tff(decl_86,type,
epred40_0: $o ).
tff(decl_87,type,
epred41_0: $o ).
tff(decl_88,type,
epred42_0: $o ).
tff(decl_89,type,
epred43_0: $o ).
tff(decl_90,type,
epred44_0: $o ).
tff(decl_91,type,
epred45_0: $o ).
tff(decl_92,type,
epred46_0: $o ).
tff(decl_93,type,
epred47_0: $o ).
tff(decl_94,type,
epred48_0: $o ).
tff(decl_95,type,
epred49_0: $o ).
tff(decl_96,type,
epred50_0: $o ).
tff(decl_97,type,
epred51_0: $o ).
tff(decl_98,type,
epred52_0: $o ).
tff(decl_99,type,
epred53_0: $o ).
tff(decl_100,type,
epred54_0: $o ).
tff(decl_101,type,
epred55_0: $o ).
tff(decl_102,type,
epred56_0: $o ).
tff(decl_103,type,
epred57_0: $o ).
tff(decl_104,type,
epred58_0: $o ).
tff(decl_105,type,
epred59_0: $o ).
tff(decl_106,type,
epred60_0: $o ).
tff(decl_107,type,
epred61_0: $o ).
tff(decl_108,type,
epred62_0: $o ).
tff(decl_109,type,
epred63_0: $o ).
tff(decl_110,type,
epred64_0: $o ).
tff(decl_111,type,
epred65_0: $o ).
tff(decl_112,type,
epred66_0: $o ).
tff(decl_113,type,
epred67_0: $o ).
tff(decl_114,type,
epred68_0: $o ).
tff(decl_115,type,
epred69_0: $o ).
tff(decl_116,type,
epred70_0: $o ).
tff(decl_117,type,
epred71_0: $o ).
tff(decl_118,type,
epred72_0: $o ).
tff(decl_119,type,
epred73_0: $o ).
tff(decl_120,type,
epred74_0: $o ).
tff(decl_121,type,
epred75_0: $o ).
tff(decl_122,type,
epred76_0: $o ).
tff(decl_123,type,
epred77_0: $o ).
tff(decl_124,type,
epred78_0: $o ).
tff(decl_125,type,
epred79_0: $o ).
tff(decl_126,type,
epred80_0: $o ).
tff(decl_127,type,
epred81_0: $o ).
tff(decl_128,type,
epred82_0: $o ).
tff(decl_129,type,
epred83_0: $o ).
tff(decl_130,type,
epred84_0: $o ).
tff(decl_131,type,
epred85_0: $o ).
tff(decl_132,type,
epred86_0: $o ).
tff(decl_133,type,
epred87_0: $o ).
tff(decl_134,type,
epred88_0: $o ).
tff(decl_135,type,
epred89_0: $o ).
tff(decl_136,type,
epred90_0: $o ).
tff(decl_137,type,
epred91_0: $o ).
tff(decl_138,type,
epred92_0: $o ).
tff(decl_139,type,
epred93_0: $o ).
tff(decl_140,type,
epred94_0: $o ).
tff(decl_141,type,
epred95_0: $o ).
tff(decl_142,type,
epred96_0: $o ).
tff(decl_143,type,
epred97_0: $o ).
tff(decl_144,type,
epred98_0: $o ).
tff(decl_145,type,
epred99_0: $o ).
tff(decl_146,type,
epred100_0: $o ).
tff(decl_147,type,
epred101_0: $o ).
tff(decl_148,type,
epred102_0: $o ).
tff(decl_149,type,
epred103_0: $o ).
tff(decl_150,type,
epred104_0: $o ).
tff(decl_151,type,
epred105_0: $o ).
tff(decl_152,type,
epred106_0: $o ).
tff(decl_153,type,
epred107_0: $o ).
tff(decl_154,type,
epred108_0: $o ).
tff(decl_155,type,
epred109_0: $o ).
tff(decl_156,type,
epred110_0: $o ).
tff(decl_157,type,
epred111_0: $o ).
tff(decl_158,type,
epred112_0: $o ).
tff(decl_159,type,
epred113_0: $o ).
tff(decl_160,type,
epred114_0: $o ).
tff(decl_161,type,
epred115_0: $o ).
tff(decl_162,type,
epred116_0: $o ).
tff(decl_163,type,
epred117_0: $o ).
tff(decl_164,type,
epred118_0: $o ).
tff(decl_165,type,
epred119_0: $o ).
tff(decl_166,type,
epred120_0: $o ).
tff(decl_167,type,
epred121_0: $o ).
tff(decl_168,type,
epred122_0: $o ).
tff(decl_169,type,
epred123_0: $o ).
tff(decl_170,type,
epred124_0: $o ).
tff(decl_171,type,
epred125_0: $o ).
tff(decl_172,type,
epred126_0: $o ).
tff(decl_173,type,
epred127_0: $o ).
tff(decl_174,type,
epred128_0: $o ).
tff(decl_175,type,
epred129_0: $o ).
tff(decl_176,type,
epred130_0: $o ).
tff(decl_177,type,
epred131_0: $o ).
tff(decl_178,type,
epred132_0: $o ).
tff(decl_179,type,
epred133_0: $o ).
tff(decl_180,type,
epred134_0: $o ).
tff(decl_181,type,
epred135_0: $o ).
tff(decl_182,type,
epred136_0: $o ).
tff(decl_183,type,
epred137_0: $o ).
tff(decl_184,type,
epred138_0: $o ).
tff(decl_185,type,
epred139_0: $o ).
tff(decl_186,type,
epred140_0: $o ).
tff(decl_187,type,
epred141_0: $o ).
tff(decl_188,type,
epred142_0: $o ).
tff(decl_189,type,
epred143_0: $o ).
tff(decl_190,type,
epred144_0: $o ).
tff(decl_191,type,
epred145_0: $o ).
tff(decl_192,type,
epred146_0: $o ).
tff(decl_193,type,
epred147_0: $o ).
tff(decl_194,type,
epred148_0: $o ).
tff(decl_195,type,
epred149_0: $o ).
tff(decl_196,type,
epred150_0: $o ).
tff(decl_197,type,
epred151_0: $o ).
tff(decl_198,type,
epred152_0: $o ).
tff(decl_199,type,
epred153_0: $o ).
tff(decl_200,type,
epred154_0: $o ).
tff(decl_201,type,
epred155_0: $o ).
tff(decl_202,type,
epred156_0: $o ).
tff(decl_203,type,
epred157_0: $o ).
tff(decl_204,type,
epred158_0: $o ).
tff(decl_205,type,
epred159_0: $o ).
tff(decl_206,type,
epred160_0: $o ).
tff(decl_207,type,
epred161_0: $o ).
tff(decl_208,type,
epred162_0: $o ).
tff(decl_209,type,
epred163_0: $o ).
tff(decl_210,type,
epred164_0: $o ).
tff(decl_211,type,
epred165_0: $o ).
tff(decl_212,type,
epred166_0: $o ).
tff(decl_213,type,
epred167_0: $o ).
tff(decl_214,type,
epred168_0: $o ).
tff(decl_215,type,
epred169_0: $o ).
tff(decl_216,type,
epred170_0: $o ).
tff(decl_217,type,
epred171_0: $o ).
tff(decl_218,type,
epred172_0: $o ).
tff(decl_219,type,
epred173_0: $o ).
tff(decl_220,type,
epred174_0: $o ).
tff(decl_221,type,
epred175_0: $o ).
tff(decl_222,type,
epred176_0: $o ).
tff(decl_223,type,
epred177_0: $o ).
tff(decl_224,type,
epred178_0: $o ).
tff(decl_225,type,
epred179_0: $o ).
tff(decl_226,type,
epred180_0: $o ).
tff(decl_227,type,
epred181_0: $o ).
tff(decl_228,type,
epred182_0: $o ).
tff(decl_229,type,
epred183_0: $o ).
tff(decl_230,type,
epred184_0: $o ).
tff(decl_231,type,
epred185_0: $o ).
tff(decl_232,type,
epred186_0: $o ).
tff(decl_233,type,
epred187_0: $o ).
tff(decl_234,type,
epred188_0: $o ).
tff(decl_235,type,
epred189_0: $o ).
tff(decl_236,type,
epred190_0: $o ).
tff(decl_237,type,
epred191_0: $o ).
tff(decl_238,type,
epred192_0: $o ).
tff(decl_239,type,
epred193_0: $o ).
tff(decl_240,type,
epred194_0: $o ).
tff(decl_241,type,
epred195_0: $o ).
tff(decl_242,type,
epred196_0: $o ).
tff(decl_243,type,
epred197_0: $o ).
tff(decl_244,type,
epred198_0: $o ).
tff(decl_245,type,
epred199_0: $o ).
tff(decl_246,type,
epred200_0: $o ).
tff(decl_247,type,
epred201_0: $o ).
tff(decl_248,type,
epred202_0: $o ).
tff(decl_249,type,
epred203_0: $o ).
tff(decl_250,type,
epred204_0: $o ).
tff(decl_251,type,
epred205_0: $o ).
tff(decl_252,type,
epred206_0: $o ).
tff(decl_253,type,
epred207_0: $o ).
tff(decl_254,type,
epred208_0: $o ).
tff(decl_255,type,
epred209_0: $o ).
tff(decl_256,type,
epred210_0: $o ).
tff(decl_257,type,
epred211_0: $o ).
tff(decl_258,type,
epred212_0: $o ).
tff(decl_259,type,
epred213_0: $o ).
tff(decl_260,type,
epred214_0: $o ).
tff(decl_261,type,
epred215_0: $o ).
tff(decl_262,type,
epred216_0: $o ).
tff(decl_263,type,
epred217_0: $o ).
tff(decl_264,type,
epred218_0: $o ).
tff(decl_265,type,
epred219_0: $o ).
tff(decl_266,type,
epred220_0: $o ).
tff(decl_267,type,
epred221_0: $o ).
tff(decl_268,type,
epred222_0: $o ).
tff(decl_269,type,
epred223_0: $o ).
tff(decl_270,type,
epred224_0: $o ).
tff(decl_271,type,
epred225_0: $o ).
tff(decl_272,type,
epred226_0: $o ).
tff(decl_273,type,
epred227_0: $o ).
tff(decl_274,type,
epred228_0: $o ).
tff(decl_275,type,
epred229_0: $o ).
tff(decl_276,type,
epred230_0: $o ).
tff(decl_277,type,
epred231_0: $o ).
tff(decl_278,type,
epred232_0: $o ).
tff(decl_279,type,
epred233_0: $o ).
tff(decl_280,type,
epred234_0: $o ).
tff(decl_281,type,
epred235_0: $o ).
tff(decl_282,type,
epred236_0: $o ).
tff(decl_283,type,
epred237_0: $o ).
tff(decl_284,type,
epred238_0: $o ).
tff(decl_285,type,
epred239_0: $o ).
tff(decl_286,type,
epred240_0: $o ).
tff(decl_287,type,
epred241_0: $o ).
tff(decl_288,type,
epred242_0: $o ).
tff(decl_289,type,
epred243_0: $o ).
tff(decl_290,type,
epred244_0: $o ).
tff(decl_291,type,
epred245_0: $o ).
tff(decl_292,type,
epred246_0: $o ).
tff(decl_293,type,
epred247_0: $o ).
tff(decl_294,type,
epred248_0: $o ).
tff(decl_295,type,
epred249_0: $o ).
tff(decl_296,type,
epred250_0: $o ).
tff(decl_297,type,
epred251_0: $o ).
tff(decl_298,type,
epred252_0: $o ).
tff(decl_299,type,
epred253_0: $o ).
tff(decl_300,type,
epred254_0: $o ).
tff(decl_301,type,
epred255_0: $o ).
tff(decl_302,type,
epred256_0: $o ).
tff(decl_303,type,
epred257_0: $o ).
tff(decl_304,type,
epred258_0: $o ).
tff(decl_305,type,
epred259_0: $o ).
tff(decl_306,type,
epred260_0: $o ).
tff(decl_307,type,
epred261_0: $o ).
tff(decl_308,type,
epred262_0: $o ).
tff(decl_309,type,
epred263_0: $o ).
tff(decl_310,type,
epred264_0: $o ).
tff(decl_311,type,
epred265_0: $o ).
tff(decl_312,type,
epred266_0: $o ).
tff(decl_313,type,
epred267_0: $o ).
tff(decl_314,type,
epred268_0: $o ).
tff(decl_315,type,
epred269_0: $o ).
tff(decl_316,type,
epred270_0: $o ).
tff(decl_317,type,
epred271_0: $o ).
tff(decl_318,type,
epred272_0: $o ).
tff(decl_319,type,
epred273_0: $o ).
tff(decl_320,type,
epred274_0: $o ).
tff(decl_321,type,
epred275_0: $o ).
tff(decl_322,type,
epred276_0: $o ).
tff(decl_323,type,
epred277_0: $o ).
tff(decl_324,type,
epred278_0: $o ).
tff(decl_325,type,
epred279_0: $o ).
tff(decl_326,type,
epred280_0: $o ).
tff(decl_327,type,
epred281_0: $o ).
tff(decl_328,type,
epred282_0: $o ).
tff(decl_329,type,
epred283_0: $o ).
tff(decl_330,type,
epred284_0: $o ).
tff(decl_331,type,
epred285_0: $o ).
tff(decl_332,type,
epred286_0: $o ).
tff(decl_333,type,
epred287_0: $o ).
tff(decl_334,type,
epred288_0: $o ).
tff(decl_335,type,
epred289_0: $o ).
tff(decl_336,type,
epred290_0: $o ).
tff(decl_337,type,
epred291_0: $o ).
tff(decl_338,type,
epred292_0: $o ).
tff(decl_339,type,
epred293_0: $o ).
tff(decl_340,type,
epred294_0: $o ).
tff(decl_341,type,
epred295_0: $o ).
tff(decl_342,type,
epred296_0: $o ).
tff(decl_343,type,
epred297_0: $o ).
tff(decl_344,type,
epred298_0: $o ).
tff(decl_345,type,
epred299_0: $o ).
tff(decl_346,type,
epred300_0: $o ).
tff(decl_347,type,
epred301_0: $o ).
tff(decl_348,type,
epred302_0: $o ).
tff(decl_349,type,
epred303_0: $o ).
tff(decl_350,type,
epred304_0: $o ).
tff(decl_351,type,
epred305_0: $o ).
tff(decl_352,type,
epred306_0: $o ).
tff(decl_353,type,
epred307_0: $o ).
tff(decl_354,type,
epred308_0: $o ).
tff(decl_355,type,
epred309_0: $o ).
tff(decl_356,type,
epred310_0: $o ).
tff(decl_357,type,
epred311_0: $o ).
tff(decl_358,type,
epred312_0: $o ).
tff(decl_359,type,
epred313_0: $o ).
tff(decl_360,type,
epred314_0: $o ).
tff(decl_361,type,
epred315_0: $o ).
tff(decl_362,type,
epred316_0: $o ).
tff(decl_363,type,
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tff(decl_734,type,
epred688_0: $o ).
tff(decl_735,type,
epred689_0: $o ).
tff(decl_736,type,
epred690_0: $o ).
tff(decl_737,type,
epred691_0: $o ).
tff(decl_738,type,
epred692_0: $o ).
tff(decl_739,type,
epred693_0: $o ).
tff(decl_740,type,
epred694_0: $o ).
tff(decl_741,type,
epred695_0: $o ).
tff(decl_742,type,
epred696_0: $o ).
tff(decl_743,type,
epred697_0: $o ).
tff(decl_744,type,
epred698_0: $o ).
tff(decl_745,type,
epred699_0: $o ).
tff(decl_746,type,
epred700_0: $o ).
tff(decl_747,type,
epred701_0: $o ).
tff(decl_748,type,
epred702_0: $o ).
tff(decl_749,type,
epred703_0: $o ).
tff(decl_750,type,
epred704_0: $o ).
tff(decl_751,type,
epred705_0: $o ).
tff(decl_752,type,
epred706_0: $o ).
tff(decl_753,type,
epred707_0: $o ).
tff(decl_754,type,
epred708_0: $o ).
tff(decl_755,type,
epred709_0: $o ).
tff(decl_756,type,
epred710_0: $o ).
tff(decl_757,type,
epred711_0: $o ).
tff(decl_758,type,
epred712_0: $o ).
tff(decl_759,type,
epred713_0: $o ).
tff(decl_760,type,
epred714_0: $o ).
tff(decl_761,type,
epred715_0: $o ).
tff(decl_762,type,
epred716_0: $o ).
tff(decl_763,type,
epred717_0: $o ).
tff(decl_764,type,
epred718_0: $o ).
tff(decl_765,type,
epred719_0: $o ).
tff(decl_766,type,
epred720_0: $o ).
tff(decl_767,type,
epred721_0: $o ).
tff(decl_768,type,
epred722_0: $o ).
tff(decl_769,type,
epred723_0: $o ).
tff(decl_770,type,
epred724_0: $o ).
tff(decl_771,type,
epred725_0: $o ).
tff(decl_772,type,
epred726_0: $o ).
tff(decl_773,type,
epred727_0: $o ).
tff(decl_774,type,
epred728_0: $o ).
tff(decl_775,type,
epred729_0: $o ).
tff(decl_776,type,
epred730_0: $o ).
tff(decl_777,type,
epred731_0: $o ).
tff(decl_778,type,
epred732_0: $o ).
tff(decl_779,type,
epred733_0: $o ).
tff(decl_780,type,
epred734_0: $o ).
tff(decl_781,type,
epred735_0: $o ).
tff(decl_782,type,
epred736_0: $o ).
tff(decl_783,type,
epred737_0: $o ).
tff(decl_784,type,
epred738_0: $o ).
tff(decl_785,type,
epred739_0: $o ).
tff(decl_786,type,
epred740_0: $o ).
tff(decl_787,type,
epred741_0: $o ).
tff(decl_788,type,
epred742_0: $o ).
tff(decl_789,type,
epred743_0: $o ).
tff(decl_790,type,
epred744_0: $o ).
tff(decl_791,type,
epred745_0: $o ).
tff(decl_792,type,
epred746_0: $o ).
tff(decl_793,type,
epred747_0: $o ).
tff(decl_794,type,
epred748_0: $o ).
tff(decl_795,type,
epred749_0: $o ).
tff(decl_796,type,
epred750_0: $o ).
tff(decl_797,type,
epred751_0: $o ).
tff(decl_798,type,
epred752_0: $o ).
tff(decl_799,type,
epred753_0: $o ).
tff(decl_800,type,
epred754_0: $o ).
tff(decl_801,type,
epred755_0: $o ).
tff(decl_802,type,
epred756_0: $o ).
tff(decl_803,type,
epred757_0: $o ).
tff(decl_804,type,
epred758_0: $o ).
tff(decl_805,type,
epred759_0: $o ).
tff(decl_806,type,
epred760_0: $o ).
tff(decl_807,type,
epred761_0: $o ).
tff(decl_808,type,
epred762_0: $o ).
tff(decl_809,type,
epred763_0: $o ).
tff(decl_810,type,
epred764_0: $o ).
tff(decl_811,type,
epred765_0: $o ).
tff(decl_812,type,
epred766_0: $o ).
tff(decl_813,type,
epred767_0: $o ).
tff(decl_814,type,
epred768_0: $o ).
tff(decl_815,type,
epred769_0: $o ).
tff(decl_816,type,
epred770_0: $o ).
tff(decl_817,type,
epred771_0: $o ).
tff(decl_818,type,
epred772_0: $o ).
tff(decl_819,type,
epred773_0: $o ).
tff(decl_820,type,
epred774_0: $o ).
tff(decl_821,type,
epred775_0: $o ).
tff(decl_822,type,
epred776_0: $o ).
tff(decl_823,type,
epred777_0: $o ).
tff(decl_824,type,
epred778_0: $o ).
tff(decl_825,type,
epred779_0: $o ).
tff(decl_826,type,
epred780_0: $o ).
tff(decl_827,type,
epred781_0: $o ).
tff(decl_828,type,
epred782_0: $o ).
tff(decl_829,type,
epred783_0: $o ).
tff(decl_830,type,
epred784_0: $o ).
tff(decl_831,type,
epred785_0: $o ).
tff(decl_832,type,
epred786_0: $o ).
tff(decl_833,type,
epred787_0: $o ).
tff(decl_834,type,
epred788_0: $o ).
tff(decl_835,type,
epred789_0: $o ).
tff(decl_836,type,
epred790_0: $o ).
tff(decl_837,type,
epred791_0: $o ).
tff(decl_838,type,
epred792_0: $o ).
tff(decl_839,type,
epred793_0: $o ).
tff(decl_840,type,
epred794_0: $o ).
tff(decl_841,type,
epred795_0: $o ).
tff(decl_842,type,
epred796_0: $o ).
tff(decl_843,type,
epred797_0: $o ).
tff(decl_844,type,
epred798_0: $o ).
tff(decl_845,type,
epred799_0: $o ).
tff(decl_846,type,
epred800_0: $o ).
tff(decl_847,type,
epred801_0: $o ).
tff(decl_848,type,
epred802_0: $o ).
tff(decl_849,type,
epred803_0: $o ).
tff(decl_850,type,
epred804_0: $o ).
tff(decl_851,type,
epred805_0: $o ).
tff(decl_852,type,
epred806_0: $o ).
tff(decl_853,type,
epred807_0: $o ).
tff(decl_854,type,
epred808_0: $o ).
tff(decl_855,type,
epred809_0: $o ).
tff(decl_856,type,
epred810_0: $o ).
tff(decl_857,type,
epred811_0: $o ).
tff(decl_858,type,
epred812_0: $o ).
tff(decl_859,type,
epred813_0: $o ).
tff(decl_860,type,
epred814_0: $o ).
tff(decl_861,type,
epred815_0: $o ).
tff(decl_862,type,
epred816_0: $o ).
tff(decl_863,type,
epred817_0: $o ).
tff(decl_864,type,
epred818_0: $o ).
tff(decl_865,type,
epred819_0: $o ).
tff(decl_866,type,
epred820_0: $o ).
tff(decl_867,type,
epred821_0: $o ).
tff(decl_868,type,
epred822_0: $o ).
tff(decl_869,type,
epred823_0: $o ).
tff(decl_870,type,
epred824_0: $o ).
tff(decl_871,type,
epred825_0: $o ).
tff(decl_872,type,
epred826_0: $o ).
tff(decl_873,type,
epred827_0: $o ).
tff(decl_874,type,
epred828_0: $o ).
tff(decl_875,type,
epred829_0: $o ).
tff(decl_876,type,
epred830_0: $o ).
tff(decl_877,type,
epred831_0: $o ).
tff(decl_878,type,
epred832_0: $o ).
tff(decl_879,type,
epred833_0: $o ).
tff(decl_880,type,
epred834_0: $o ).
tff(decl_881,type,
epred835_0: $o ).
tff(decl_882,type,
epred836_0: $o ).
tff(decl_883,type,
epred837_0: $o ).
tff(decl_884,type,
epred838_0: $o ).
tff(decl_885,type,
epred839_0: $o ).
tff(decl_886,type,
epred840_0: $o ).
tff(decl_887,type,
epred841_0: $o ).
tff(decl_888,type,
epred842_0: $o ).
tff(decl_889,type,
epred843_0: $o ).
tff(decl_890,type,
epred844_0: $o ).
tff(decl_891,type,
epred845_0: $o ).
tff(decl_892,type,
epred846_0: $o ).
tff(decl_893,type,
epred847_0: $o ).
tff(decl_894,type,
epred848_0: $o ).
tff(decl_895,type,
epred849_0: $o ).
tff(decl_896,type,
epred850_0: $o ).
tff(decl_897,type,
epred851_0: $o ).
tff(decl_898,type,
epred852_0: $o ).
tff(decl_899,type,
epred853_0: $o ).
tff(decl_900,type,
epred854_0: $o ).
tff(decl_901,type,
epred855_0: $o ).
tff(decl_902,type,
epred856_0: $o ).
tff(decl_903,type,
epred857_0: $o ).
tff(decl_904,type,
epred858_0: $o ).
tff(decl_905,type,
epred859_0: $o ).
tff(decl_906,type,
epred860_0: $o ).
tff(decl_907,type,
epred861_0: $o ).
tff(decl_908,type,
epred862_0: $o ).
tff(decl_909,type,
epred863_0: $o ).
tff(decl_910,type,
epred864_0: $o ).
tff(decl_911,type,
epred865_0: $o ).
tff(decl_912,type,
epred866_0: $o ).
tff(decl_913,type,
epred867_0: $o ).
tff(decl_914,type,
epred868_0: $o ).
tff(decl_915,type,
epred869_0: $o ).
tff(decl_916,type,
epred870_0: $o ).
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_9,axiom,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(oneplustwoidthree,conjecture,
? [X63] :
( ? [X46] :
( id(X63,X46)
& ? [X47] :
( r2(X47,X46)
& ? [X41] :
( r2(X41,X47)
& ? [X58] :
( r1(X58)
& r2(X58,X41) ) ) ) )
& ? [X40] :
( ? [X49] :
( r3(X49,X40,X63)
& ? [X55] :
( r1(X55)
& r2(X55,X49) ) )
& ? [X43] :
( r2(X43,X40)
& ? [X66] :
( r1(X66)
& r2(X66,X43) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneplustwoidthree) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_6a,axiom,
! [X61] :
( ? [X62] :
( id(X61,X62)
& r1(X62) )
| ? [X63,X64] :
( id(X61,X64)
& r2(X63,X64) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(c_0_13,plain,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
fof(c_0_14,plain,
! [X93,X94,X95,X96,X97,X98] :
( ( r3(X93,X94,X95)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X93,X94,X95)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X93,X94,X95)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) )
& ( r3(X96,X97,X98)
| ~ r3(X96,X97,X98)
| ~ id(X93,X96)
| ~ id(X94,X97)
| ~ id(X95,X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
fof(c_0_15,plain,
! [X121] :
( id(esk13_1(X121),X121)
& r1(esk14_1(X121))
& r3(X121,esk14_1(X121),esk13_1(X121)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_16,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_17,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X69] :
( ( ~ r1(X69)
| id(X69,esk1_0) )
& ( ~ id(X69,esk1_0)
| id(X69,esk1_0) )
& ( ~ r1(X69)
| r1(X69) )
& ( ~ id(X69,esk1_0)
| r1(X69) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])])]) ).
cnf(c_0_20,plain,
( r3(X1,X2,X3)
| ~ id(esk13_1(X4),X3)
| ~ id(esk14_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_25,plain,
( r3(X1,X2,X3)
| ~ id(esk14_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
id(esk14_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(c_0_28,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_29,plain,
! [X73,X74,X76] :
( ( ~ r3(X73,X74,X76)
| id(X76,esk3_2(X73,X74)) )
& ( ~ id(X76,esk3_2(X73,X74))
| id(X76,esk3_2(X73,X74)) )
& ( ~ r3(X73,X74,X76)
| r3(X73,X74,X76) )
& ( ~ id(X76,esk3_2(X73,X74))
| r3(X73,X74,X76) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_24])])]) ).
cnf(c_0_30,plain,
( r3(X1,esk1_0,X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_33,plain,
! [X82,X83] :
( ~ id(X82,X83)
| id(X83,X82) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
r3(X1,esk1_0,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X22,X23,X24,X25] :
( ~ id(X22,X24)
| ~ id(X23,X25)
| ( ~ r2(X22,X23)
& ~ r2(X24,X25) )
| ( r2(X22,X23)
& r2(X24,X25) ) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
fof(c_0_37,plain,
! [X84,X85,X86] :
( ~ id(X84,X85)
| id(X84,X86)
| ~ id(X85,X86) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
id(X1,esk3_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_40,plain,
! [X105,X106] :
( id(esk6_2(X105,X106),esk5_2(X105,X106))
& r2(X106,esk7_2(X105,X106))
& r3(X105,esk7_2(X105,X106),esk6_2(X105,X106))
& r2(esk8_2(X105,X106),esk5_2(X105,X106))
& r3(X105,X106,esk8_2(X105,X106)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_41,plain,
! [X89,X90,X91,X92] :
( ( r2(X89,X90)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X89,X90)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X89,X90)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) )
& ( r2(X91,X92)
| ~ r2(X91,X92)
| ~ id(X89,X91)
| ~ id(X90,X92) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
cnf(c_0_42,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
id(esk3_2(X1,esk1_0),X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( id(X63,X46)
& ? [X47] :
( r2(X47,X46)
& ? [X41] :
( r2(X41,X47)
& ? [X58] :
( r1(X58)
& r2(X58,X41) ) ) ) )
& ? [X40] :
( ? [X49] :
( r3(X49,X40,X63)
& ? [X55] :
( r1(X55)
& r2(X55,X49) ) )
& ? [X43] :
( r2(X43,X40)
& ? [X66] :
( r1(X66)
& r2(X66,X43) ) ) ) ),
inference(assume_negation,[status(cth)],[oneplustwoidthree]) ).
cnf(c_0_46,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X3,X1)
| ~ id(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( id(X1,X2)
| ~ id(X1,esk3_2(X2,esk1_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
id(esk8_2(X1,X2),esk3_2(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
fof(c_0_49,plain,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_50,negated_conjecture,
! [X135,X136,X137,X138,X139,X140,X141,X142,X143,X144] :
( ~ id(X135,X136)
| ~ r2(X137,X136)
| ~ r2(X138,X137)
| ~ r1(X139)
| ~ r2(X139,X138)
| ~ r3(X141,X140,X135)
| ~ r1(X142)
| ~ r2(X142,X141)
| ~ r2(X143,X140)
| ~ r1(X144)
| ~ r2(X144,X143) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_51,plain,
( r3(X2,X3,X1)
| ~ id(X1,esk3_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_52,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( r2(X1,X2)
| ~ r2(X3,X4)
| ~ id(X1,X3)
| ~ id(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,plain,
( id(X1,X2)
| ~ id(X1,esk13_1(X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_55,plain,
( r2(X1,X2)
| ~ r2(X3,X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_31]) ).
cnf(c_0_56,plain,
id(esk8_2(X1,esk1_0),X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_57,plain,
! [X132,X133,X134] :
( ~ id(X134,X133)
| ~ r1(X134)
| ~ r2(X132,X133) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_58,plain,
! [X128] :
( ( id(X128,esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| id(X128,esk18_1(X128)) )
& ( id(X128,esk20_1(X128))
| r1(esk18_1(X128)) )
& ( r2(esk19_1(X128),esk20_1(X128))
| r1(esk18_1(X128)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_6a])])]) ).
cnf(c_0_59,negated_conjecture,
( ~ id(X1,X2)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4)
| ~ r3(X6,X7,X1)
| ~ r1(X8)
| ~ r2(X8,X6)
| ~ r2(X9,X7)
| ~ r1(X10)
| ~ r2(X10,X9) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_61,plain,
id(esk6_2(X1,X2),esk3_2(X1,esk7_2(X1,X2))),
inference(spm,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_62,plain,
( r2(X1,X2)
| ~ r2(X3,X2)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_31]) ).
cnf(c_0_63,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_64,plain,
( r2(X1,esk13_1(X2))
| ~ r2(X3,X2)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_21]) ).
cnf(c_0_65,plain,
id(esk6_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_66,plain,
( r2(X1,X2)
| ~ r2(esk8_2(X1,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_68,plain,
( ~ id(X1,X2)
| ~ r1(X1)
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( r2(esk19_1(X1),esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X4,X5)
| ~ r2(X6,X7)
| ~ r2(X7,X8)
| ~ r2(X8,X9)
| ~ r1(X1)
| ~ r1(X4)
| ~ r1(X6)
| ~ id(esk3_2(X5,X3),X9) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_71,plain,
id(esk3_2(X1,esk7_2(X1,X2)),esk6_2(X1,X2)),
inference(spm,[status(thm)],[c_0_38,c_0_61]) ).
cnf(c_0_72,plain,
( r2(esk13_1(esk13_1(X1)),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_74,plain,
( r2(X1,esk13_1(X2))
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_31]) ).
cnf(c_0_75,plain,
( r2(X1,esk6_2(X2,X3))
| ~ r2(X4,esk5_2(X2,X3))
| ~ id(X1,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_65]) ).
cnf(c_0_76,plain,
r2(X1,esk5_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_77,plain,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_78,plain,
( r1(esk18_1(X1))
| ~ r1(X2)
| ~ id(X2,esk20_1(X1)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( id(X1,esk20_1(X1))
| r1(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_80,plain,
( r1(X1)
| ~ id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_81,negated_conjecture,
( ~ r2(X1,esk7_2(X2,X3))
| ~ r2(X4,esk6_2(X2,X3))
| ~ r2(X5,X1)
| ~ r2(X6,X2)
| ~ r2(X7,X8)
| ~ r2(X8,X4)
| ~ r1(X5)
| ~ r1(X6)
| ~ r1(X7) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
r2(esk13_1(esk13_1(X1)),esk7_2(X2,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,plain,
r2(X1,esk13_1(esk7_2(X2,X1))),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_84,plain,
( r2(X1,esk6_2(X2,esk1_0))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_85,plain,
! [X70,X72] :
( ( ~ r2(X70,X72)
| id(X72,esk2_1(X70)) )
& ( ~ id(X72,esk2_1(X70))
| id(X72,esk2_1(X70)) )
& ( ~ r2(X70,X72)
| r2(X70,X72) )
& ( ~ id(X72,esk2_1(X70))
| r2(X70,X72) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])])]) ).
cnf(c_0_86,plain,
( r1(esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,plain,
r1(esk1_0),
inference(spm,[status(thm)],[c_0_80,c_0_31]) ).
cnf(c_0_88,negated_conjecture,
( ~ r2(X1,esk13_1(esk13_1(X2)))
| ~ r2(X3,esk6_2(X4,X2))
| ~ r2(X5,X4)
| ~ r2(X6,X7)
| ~ r2(X7,X3)
| ~ r1(X1)
| ~ r1(X5)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,plain,
r2(X1,esk13_1(esk13_1(esk7_2(X2,X1)))),
inference(spm,[status(thm)],[c_0_74,c_0_83]) ).
cnf(c_0_90,plain,
( r2(X1,esk6_2(X2,X3))
| ~ id(X1,esk8_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_67]) ).
cnf(c_0_91,plain,
id(esk3_2(X1,X2),esk8_2(X1,X2)),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_92,plain,
( r2(X1,esk3_2(X2,esk7_2(X2,X3)))
| ~ r2(X4,esk6_2(X2,X3))
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_61]) ).
cnf(c_0_93,plain,
r2(X1,esk6_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_84,c_0_31]) ).
cnf(c_0_94,plain,
id(X1,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_38,c_0_21]) ).
cnf(c_0_95,plain,
( r2(X2,X1)
| ~ id(X1,esk2_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,plain,
r1(esk18_1(esk1_0)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
( ~ r2(X1,esk6_2(X2,esk7_2(X3,X4)))
| ~ r2(X5,X2)
| ~ r2(X6,X7)
| ~ r2(X7,X1)
| ~ r1(X4)
| ~ r1(X5)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_98,plain,
r2(esk3_2(X1,X2),esk6_2(X1,X2)),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,plain,
( r2(X1,esk3_2(X2,esk7_2(X2,esk1_0)))
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( r2(X1,X2)
| ~ r2(X3,esk13_1(X2))
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_94]) ).
cnf(c_0_101,plain,
r2(X1,esk13_1(esk2_1(X1))),
inference(spm,[status(thm)],[c_0_95,c_0_21]) ).
cnf(c_0_102,plain,
r1(esk18_1(esk18_1(esk1_0))),
inference(spm,[status(thm)],[c_0_86,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( ~ r2(X1,esk3_2(X2,esk7_2(X3,X4)))
| ~ r2(X5,X2)
| ~ r2(X6,X1)
| ~ r1(X4)
| ~ r1(X5)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
r2(X1,esk3_2(X1,esk7_2(X1,esk1_0))),
inference(spm,[status(thm)],[c_0_99,c_0_31]) ).
cnf(c_0_105,plain,
( r2(X1,esk2_1(X2))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
id(esk18_1(esk18_1(esk1_0)),esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X2)
| ~ r1(X1)
| ~ r1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_87])]) ).
cnf(c_0_108,plain,
r2(esk18_1(esk18_1(esk1_0)),esk2_1(esk1_0)),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( ~ r2(X1,esk2_1(esk1_0))
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_102])]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_108]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN056+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Aug 27 09:38:17 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.58 start to proof: theBenchmark
% 63.11/63.46 % Version : CSE_E---1.5
% 63.11/63.46 % Problem : theBenchmark.p
% 63.11/63.46 % Proof found
% 63.11/63.46 % SZS status Theorem for theBenchmark.p
% 63.11/63.46 % SZS output start Proof
% See solution above
% 63.11/63.49 % Total time : 62.705000 s
% 63.11/63.49 % SZS output end Proof
% 63.11/63.49 % Total time : 62.711000 s
%------------------------------------------------------------------------------