TSTP Solution File: NUM639+4 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM639+4 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 10:39:36 EDT 2023
% Result : Theorem 7.55s 7.65s
% Output : CNFRefutation 7.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 289
% Syntax : Number of formulae : 334 ( 28 unt; 274 typ; 0 def)
% Number of atoms : 120 ( 26 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 41 ~; 45 |; 7 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 308 ( 181 >; 127 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-3 aty)
% Number of functors : 263 ( 263 usr; 92 con; 0-5 aty)
% Number of variables : 70 ( 5 sgn; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
bool: $i ).
tff(decl_23,type,
undefined_bool: $i > $i ).
tff(decl_24,type,
gg_bool: $i > $o ).
tff(decl_25,type,
tPTP_ind: $i ).
tff(decl_26,type,
undefined_TPTP_ind: $i > $i ).
tff(decl_27,type,
gg_TPTP_ind: $i > $o ).
tff(decl_28,type,
scratc1830861017_amone: ( $i * $i ) > $i ).
tff(decl_29,type,
scratc817077300_d_and: ( $i * $i ) > $i ).
tff(decl_30,type,
scratc924542480_d_not: $i > $i ).
tff(decl_31,type,
scratc1398139316nd_ec3: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
scratc1398139381nd_ect: ( $i * $i ) > $i ).
tff(decl_33,type,
scratc1455160150ptyset: $i ).
tff(decl_34,type,
scratc1398992167nd_eps: $i > $i ).
tff(decl_35,type,
scratc1431906974nd_ind: ( $i * $i ) > $i ).
tff(decl_36,type,
scratc1157589289d_l_ec: ( $i * $i ) > $i ).
tff(decl_37,type,
scratc214542084nd_n_1: $i ).
tff(decl_38,type,
scratc1472361728nd_nat: $i ).
tff(decl_39,type,
scratc521817632_omega: $i ).
tff(decl_40,type,
scratc1481738351nd_or3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
aa_bool_bool: ( $i * $i ) > $i ).
tff(decl_42,type,
aa_TPTP_ind_bool: ( $i * $i ) > $i ).
tff(decl_43,type,
aa_TPTP_ind_TPTP_ind: ( $i * $i ) > $i ).
tff(decl_44,type,
aa_fun171081125l_bool: ( $i * $i ) > $i ).
tff(decl_45,type,
aa_fun1431113780TP_ind: ( $i * $i ) > $i ).
tff(decl_46,type,
aa_fun277296641TP_ind: ( $i * $i ) > $i ).
tff(decl_47,type,
fEx_TPTP_ind: $i > $i ).
tff(decl_48,type,
fFalse: $i ).
tff(decl_49,type,
fTrue: $i ).
tff(decl_50,type,
scratc1289955817d_n_pl: $i > $i ).
tff(decl_51,type,
scratc932095312bnd_ap: $i ).
tff(decl_52,type,
scratc1884559291d_plus: $i ).
tff(decl_53,type,
aa_TPT1424761345TP_ind: ( $i * $i ) > $i ).
tff(decl_54,type,
scratc629631996d_d_Pi: $i ).
tff(decl_55,type,
aa_TPT494704832TP_ind: ( $i * $i ) > $i ).
tff(decl_56,type,
aTP_Lamm_ab: $i ).
tff(decl_57,type,
scratc481472202_prop2: $i ).
tff(decl_58,type,
aa_TPT43085870d_bool: ( $i * $i ) > $i ).
tff(decl_59,type,
scratc1832439810d_24_g: $i ).
tff(decl_60,type,
scratc1419298338_Sigma: $i ).
tff(decl_61,type,
aTP_Lamm_ac: $i > $i ).
tff(decl_62,type,
scratc1352556016_prop4: $i ).
tff(decl_63,type,
pp: $i > $o ).
tff(decl_64,type,
scratc264283231l_some: $i > $i ).
tff(decl_65,type,
scratc1352556015_prop3: $i > $i ).
tff(decl_66,type,
scratc1289496631d_n_is: $i ).
tff(decl_67,type,
scratc236248354rdsucc: $i ).
tff(decl_68,type,
scratc481472201_prop1: $i ).
tff(decl_69,type,
scratc242051124_n_all: $i ).
tff(decl_70,type,
aTP_Lamm_ad: $i ).
tff(decl_71,type,
scratc2040593674_prop1: $i ).
tff(decl_72,type,
scratc1158245294d_l_or: $i > $i ).
tff(decl_73,type,
scratc1008107873n_some: $i ).
tff(decl_74,type,
aTP_Lamm_ae: $i ).
tff(decl_75,type,
scratc1452231499_prop1: $i ).
tff(decl_76,type,
scratc1472886519nd_nis: $i ).
tff(decl_77,type,
scratc486197354d_i1_s: $i ).
tff(decl_78,type,
scratc700825851_d_Sep: $i > $i ).
tff(decl_79,type,
scratc1367279151_cond2: $i ).
tff(decl_80,type,
aTP_Lamm_af: $i ).
tff(decl_81,type,
scratc1367279150_cond1: $i ).
tff(decl_82,type,
scratc1289496626d_n_in: $i ).
tff(decl_83,type,
scratc357843385_n_one: $i ).
tff(decl_84,type,
scratc1481476005nd_one: $i > $i ).
tff(decl_85,type,
scratc1365683744nd_all: $i > $i ).
tff(decl_86,type,
scratc1945799620d_esti: $i > $i ).
tff(decl_87,type,
scratc1770836270d_e_is: $i > $i ).
tff(decl_88,type,
aTP_Lamm_ag: $i ).
tff(decl_89,type,
scratc84436424indeq2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
scratc899077354_indeq: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
scratc498597574d_11_i: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
aTP_Lamm_ah: $i > $i ).
tff(decl_93,type,
scratc300926575fixfu2: ( $i * $i ) > $i ).
tff(decl_94,type,
aTP_Lamm_ai: $i ).
tff(decl_95,type,
scratc1153622423all_of: $i > $i ).
tff(decl_96,type,
aTP_Lamm_am: $i > $i ).
tff(decl_97,type,
aa_fun987228051d_bool: ( $i * $i ) > $i ).
tff(decl_98,type,
aa_TPT60673477d_bool: ( $i * $i ) > $i ).
tff(decl_99,type,
scratc1352556014_prop2: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
scratc1028794828_prop1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
scratc647393207_ecect: ( $i * $i ) > $i ).
tff(decl_102,type,
scratc185195139_fixfu: ( $i * $i ) > $i ).
tff(decl_103,type,
aTP_Lamm_ao: $i > $i ).
tff(decl_104,type,
scratc1223648580_power: $i ).
tff(decl_105,type,
scratc928642956d_anec: ( $i * $i ) > $i ).
tff(decl_106,type,
scratc1770836265d_e_in: ( $i * $i ) > $i ).
tff(decl_107,type,
scratc697751224ectelt: ( $i * $i ) > $i ).
tff(decl_108,type,
scratc812953101ectset: ( $i * $i ) > $i ).
tff(decl_109,type,
scratc647983598_ecelt: ( $i * $i ) > $i ).
tff(decl_110,type,
scratc1481935213nd_out: ( $i * $i ) > $i ).
tff(decl_111,type,
scratc1398139377nd_ecp: ( $i * $i ) > $i ).
tff(decl_112,type,
scratc919070447unmore: ( $i * $i ) > $i ).
tff(decl_113,type,
aTP_Lamm_aq: $i > $i ).
tff(decl_114,type,
scratc1999269454etprop: ( $i * $i ) > $i ).
tff(decl_115,type,
scratc1000096190t_disj: $i > $i ).
tff(decl_116,type,
aTP_Lamm_ar: $i > $i ).
tff(decl_117,type,
scratc730758415d_incl: $i > $i ).
tff(decl_118,type,
aTP_Lamm_as: $i > $i ).
tff(decl_119,type,
scratc1740755137nempty: $i ).
tff(decl_120,type,
aTP_Lamm_at: $i > $i ).
tff(decl_121,type,
scratc2102805996_empty: $i ).
tff(decl_122,type,
scratc1473280108nd_non: ( $i * $i ) > $i ).
tff(decl_123,type,
scratc932620102bnd_in: $i ).
tff(decl_124,type,
scratc1552524079d_r_ec: ( $i * $i ) > $o ).
tff(decl_125,type,
scratc1795938645hangef: ( $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
aTP_Lamm_au: $i > $i ).
tff(decl_127,type,
aa_TPT1781712639TP_ind: ( $i * $i ) > $i ).
tff(decl_128,type,
aa_TPT1791839040TP_ind: ( $i * $i ) > $i ).
tff(decl_129,type,
scratc680979898wissel: ( $i * $i ) > $i ).
tff(decl_130,type,
scratc1938639141sel_wb: ( $i * $i * $i ) > $i ).
tff(decl_131,type,
scratc1432300569nd_ite: ( $i * $i * $i ) > $i ).
tff(decl_132,type,
scratc1938639140sel_wa: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
scratc1352556013_prop1: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
scratc1431841387nd_imp: $i ).
tff(decl_135,type,
aa_boo1142376798l_bool: ( $i * $i ) > $i ).
tff(decl_136,type,
scratc1440195829second: ( $i * $i ) > $i ).
tff(decl_137,type,
scratc1352162419_proj1: $i ).
tff(decl_138,type,
scratc136478895_first: ( $i * $i ) > $i ).
tff(decl_139,type,
scratc1352162418_proj0: $i ).
tff(decl_140,type,
scratc1273750557d_pair: ( $i * $i ) > $i ).
tff(decl_141,type,
scratc1792895547d_pair: $i ).
tff(decl_142,type,
scratc2102637771d_soft: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
scratc422242564_inj_h: ( $i * $i * $i * $i ) > $i ).
tff(decl_144,type,
aTP_Lamm_av: $i > $i ).
tff(decl_145,type,
scratc732004790d_invf: ( $i * $i ) > $i ).
tff(decl_146,type,
scratc1452963076ective: $i > $i ).
tff(decl_147,type,
scratc1269243846ective: $i > $i ).
tff(decl_148,type,
scratc1535014749ective: $i > $i ).
tff(decl_149,type,
scratc93836826_image: ( $i * $i ) > $i ).
tff(decl_150,type,
scratc1781979695nverse: ( $i * $i ) > $i ).
tff(decl_151,type,
aTP_Lamm_aw: $i > $i ).
tff(decl_152,type,
aTP_Lamm_ax: $i > $i ).
tff(decl_153,type,
scratc735741321d_tofs: ( $i * $i ) > $i ).
tff(decl_154,type,
aTP_Lamm_az: $i > $i ).
tff(decl_155,type,
aTP_Lamm_ba: $i > $i ).
tff(decl_156,type,
aa_fun1584354236d_bool: ( $i * $i ) > $i ).
tff(decl_157,type,
aTP_Lamm_bc: $i > $i ).
tff(decl_158,type,
fequal_TPTP_ind: $i ).
tff(decl_159,type,
scratc129523889_orec3: ( $i * $i * $i ) > $o ).
tff(decl_160,type,
scratc928577309d_and3: ( $i * $i * $i ) > $o ).
tff(decl_161,type,
scratc1711218750_l_iff: ( $i * $i ) > $o ).
tff(decl_162,type,
scratc1152491522d_orec: ( $i * $i ) > $o ).
tff(decl_163,type,
scratc499578694bvious: $o ).
tff(decl_164,type,
scratc1546977661nd_wel: $i > $o ).
tff(decl_165,type,
fimplies: $i ).
tff(decl_166,type,
aTP_Lamm_bd: $i > $i ).
tff(decl_167,type,
aTP_Lamm_be: $i > $i ).
tff(decl_168,type,
aa_fun1913827119d_bool: ( $i * $i ) > $i ).
tff(decl_169,type,
scratc92998325pair_p: $i ).
tff(decl_170,type,
aTP_Lamm_bf: $i ).
tff(decl_171,type,
scratc415246380eplSep: ( $i * $i ) > $i ).
tff(decl_172,type,
scratc2017655096etprod: $i > $i ).
tff(decl_173,type,
scratc1820600702munion: $i ).
tff(decl_174,type,
aTP_Lamm_bg: $i > $i ).
tff(decl_175,type,
aTP_Lamm_bh: $i ).
tff(decl_176,type,
scratc717939246_d_Unj: $i ).
tff(decl_177,type,
aTP_Lamm_bi: $i ).
tff(decl_178,type,
scratc1240091504d_repl: $i ).
tff(decl_179,type,
scratc1003085966d_Inj0: $i ).
tff(decl_180,type,
scratc666974153nunion: $i > $i ).
tff(decl_181,type,
scratc1003085967d_Inj1: $i ).
tff(decl_182,type,
aTP_Lamm_bj: $i ).
tff(decl_183,type,
scratc143009960In_rec: $i > $i ).
tff(decl_184,type,
aTP_Lamm_bk: $i ).
tff(decl_185,type,
scratc1839038univof: $i ).
tff(decl_186,type,
scratc1716265904_nat_p: $i ).
tff(decl_187,type,
scratc177978290d_Sing: $i ).
tff(decl_188,type,
scratc70757855_rec_G: $i > $i ).
tff(decl_189,type,
scratc583259695tminus: $i > $i ).
tff(decl_190,type,
aTP_Lamm_bl: $i ).
tff(decl_191,type,
fconj: $i ).
tff(decl_192,type,
cOMBC_1555011498d_bool: $i > $i ).
tff(decl_193,type,
cOMBB_658106424TP_ind: ( $i * $i ) > $i ).
tff(decl_194,type,
cOMBS_2003118649l_bool: ( $i * $i ) > $i ).
tff(decl_195,type,
aTP_Lamm_bm: $i > $i ).
tff(decl_196,type,
aa_fun1235454963TP_ind: ( $i * $i ) > $i ).
tff(decl_197,type,
scratc932620094bnd_if: ( $i * $i ) > $i ).
tff(decl_198,type,
scratc1730910446_union: $i ).
tff(decl_199,type,
scratc1313784716_UPair: $i > $i ).
tff(decl_200,type,
aTP_Lamm_bn: $i > $i ).
tff(decl_201,type,
scratc1470787346nd_nIn: $i ).
tff(decl_202,type,
aTP_Lamm_bo: $i > $i ).
tff(decl_203,type,
scratc369281755closed: $i ).
tff(decl_204,type,
scratc2006686200closed: $i ).
tff(decl_205,type,
scratc23935566closed: $i ).
tff(decl_206,type,
scratc584516606closed: $i ).
tff(decl_207,type,
scratc276329172d_Subq: $i ).
tff(decl_208,type,
scratc1829621698_is_of: ( $i * $i ) > $o ).
tff(decl_209,type,
aTP_Lamm_a: $i ).
tff(decl_210,type,
aTP_Lamm_bq: $i ).
tff(decl_211,type,
aTP_Lamm_br: $i ).
tff(decl_212,type,
aTP_Lamm_bt: $i ).
tff(decl_213,type,
aTP_Lamm_bu: $i ).
tff(decl_214,type,
aTP_Lamm_bw: $i ).
tff(decl_215,type,
aTP_Lamm_bx: $i ).
tff(decl_216,type,
aTP_Lamm_by: $i ).
tff(decl_217,type,
aTP_Lamm_bz: $i ).
tff(decl_218,type,
aTP_Lamm_cb: $i ).
tff(decl_219,type,
aTP_Lamm_cc: $i ).
tff(decl_220,type,
aTP_Lamm_ce: $i ).
tff(decl_221,type,
aTP_Lamm_cg: $i ).
tff(decl_222,type,
aTP_Lamm_ch: $i ).
tff(decl_223,type,
aTP_Lamm_ci: $i ).
tff(decl_224,type,
aTP_Lamm_cj: $i ).
tff(decl_225,type,
aTP_Lamm_cl: $i ).
tff(decl_226,type,
aTP_Lamm_cm: $i > $i ).
tff(decl_227,type,
aTP_Lamm_cn: $i > $i ).
tff(decl_228,type,
aTP_Lamm_cp: $i > $i ).
tff(decl_229,type,
aTP_Lamm_cr: $i > $i ).
tff(decl_230,type,
aTP_Lamm_cs: $i > $i ).
tff(decl_231,type,
aTP_Lamm_ct: $i > $i ).
tff(decl_232,type,
aTP_Lamm_cu: $i > $i ).
tff(decl_233,type,
aTP_Lamm_cv: $i > $i ).
tff(decl_234,type,
aTP_Lamm_cx: $i > $i ).
tff(decl_235,type,
aTP_Lamm_cy: $i > $i ).
tff(decl_236,type,
aTP_Lamm_cz: $i > $i ).
tff(decl_237,type,
aTP_Lamm_da: $i > $i ).
tff(decl_238,type,
aTP_Lamm_db: $i > $i ).
tff(decl_239,type,
aTP_Lamm_dc: $i > $i ).
tff(decl_240,type,
aTP_Lamm_df: $i > $i ).
tff(decl_241,type,
aTP_Lamm_dh: $i > $i ).
tff(decl_242,type,
aTP_Lamm_di: $i ).
tff(decl_243,type,
aTP_Lamm_bv: $i ).
tff(decl_244,type,
aTP_Lamm_cd: $i ).
tff(decl_245,type,
aTP_Lamm_aa: $i ).
tff(decl_246,type,
aTP_Lamm_cf: $i ).
tff(decl_247,type,
aTP_Lamm_ca: $i ).
tff(decl_248,type,
aTP_Lamm_bs: $i ).
tff(decl_249,type,
aTP_Lamm_bp: $i ).
tff(decl_250,type,
aTP_Lamm_ck: $i > $i ).
tff(decl_251,type,
aTP_Lamm_de: $i > $i ).
tff(decl_252,type,
aTP_Lamm_dg: $i > $i ).
tff(decl_253,type,
aa_fun1212484691d_bool: ( $i * $i ) > $i ).
tff(decl_254,type,
aTP_Lamm_bb: $i > $i ).
tff(decl_255,type,
aTP_Lamm_cw: $i > $i ).
tff(decl_256,type,
aTP_Lamm_cq: $i > $i ).
tff(decl_257,type,
aTP_Lamm_co: $i > $i ).
tff(decl_258,type,
aTP_Lamm_dd: $i > $i ).
tff(decl_259,type,
aTP_Lamm_ap: $i > $i ).
tff(decl_260,type,
aTP_Lamm_ay: $i > $i ).
tff(decl_261,type,
aa_TPT1123896796d_bool: ( $i * $i ) > $i ).
tff(decl_262,type,
aTP_Lamm_an: $i > $i ).
tff(decl_263,type,
aTP_Lamm_al: $i > $i ).
tff(decl_264,type,
aa_fun845057962d_bool: ( $i * $i ) > $i ).
tff(decl_265,type,
aTP_Lamm_ak: $i > $i ).
tff(decl_266,type,
aa_fun1107270209d_bool: ( $i * $i ) > $i ).
tff(decl_267,type,
aa_TPT985247859d_bool: ( $i * $i ) > $i ).
tff(decl_268,type,
aTP_Lamm_aj: $i > $i ).
tff(decl_269,type,
aa_TPT125613450d_bool: ( $i * $i ) > $i ).
tff(decl_270,type,
aa_TPT2142672771l_bool: ( $i * $i ) > $i ).
tff(decl_271,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_272,type,
esk2_1: $i > $i ).
tff(decl_273,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_274,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_275,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_276,type,
esk6_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_277,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_278,type,
esk8_1: $i > $i ).
tff(decl_279,type,
esk9_1: $i > $i ).
tff(decl_280,type,
esk10_1: $i > $i ).
tff(decl_281,type,
esk11_1: $i > $i ).
tff(decl_282,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_284,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_285,type,
esk15_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_286,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_287,type,
esk17_1: $i > $i ).
tff(decl_288,type,
esk18_1: $i > $i ).
tff(decl_289,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_290,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_291,type,
esk21_1: $i > $i ).
tff(decl_292,type,
esk22_1: $i > $i ).
tff(decl_293,type,
esk23_1: $i > $i ).
tff(decl_294,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_295,type,
esk25_3: ( $i * $i * $i ) > $i ).
fof(fact_ATP_Olambda__3,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X25),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__3) ).
fof(fact_def__n__pl,axiom,
! [X4] : scratc1289955817d_n_pl(X4) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(fact_def__e__is,axiom,
! [X4] : scratc1770836270d_e_is(X4) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(fact_ATP_Olambda__7,axiom,
! [X25] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X25))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X25)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X25),scratc214542084nd_n_1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__7) ).
fof(help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( ( gg_TPTP_ind(X34)
& gg_TPTP_ind(X35) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35))
| X34 = X35 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(fact_def__n__is,axiom,
scratc1289496631d_n_is = scratc1770836270d_e_is(scratc1472361728nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind,axiom,
! [X1,X2] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T,axiom,
! [X34,X35] :
( X34 != X35
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(fact_def__all__of,axiom,
! [X4,X5] :
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X4),X5))
<=> ! [X12] :
( gg_TPTP_ind(X12)
=> ( scratc1829621698_is_of(X12,X4)
=> pp(aa_TPTP_ind_bool(X5,X12)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(help_fFalse_1_1_T,axiom,
! [X32] :
( gg_bool(X32)
=> ( X32 = fTrue
| X32 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool,hypothesis,
! [X1,X2] : gg_bool(aa_fun171081125l_bool(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(fact_satz4a,axiom,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz4a) ).
fof(conj_0,conjecture,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(help_pp_2_1_U,axiom,
pp(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(help_fFalse_1_1_U,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(c_0_15,plain,
! [X489] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X489))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X489),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X489))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X489),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X489)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X489)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__3])]) ).
fof(c_0_16,plain,
! [X68] : scratc1289955817d_n_pl(X68) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X68)),
inference(variable_rename,[status(thm)],[fact_def__n__pl]) ).
fof(c_0_17,plain,
! [X228] : scratc1770836270d_e_is(X228) = fequal_TPTP_ind,
inference(variable_rename,[status(thm)],[fact_def__e__is]) ).
fof(c_0_18,plain,
! [X493] :
( ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X493))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X493)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X493),scratc214542084nd_n_1))) )
& ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X493)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X493),scratc214542084nd_n_1)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X493)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ATP_Olambda__7])]) ).
fof(c_0_19,plain,
! [X34,X35] :
( ( gg_TPTP_ind(X34)
& gg_TPTP_ind(X35) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X34),X35))
| X34 = X35 ) ),
inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T]) ).
cnf(c_0_20,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X1),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
scratc1289955817d_n_pl(X1) = aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
scratc1289496631d_n_is = scratc1770836270d_e_is(scratc1472361728nd_nat),
inference(split_conjunct,[status(thm)],[fact_def__n__is]) ).
cnf(c_0_23,plain,
scratc1770836270d_e_is(X1) = fequal_TPTP_ind,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(scratc1289955817d_n_pl(X1),scratc214542084nd_n_1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X753,X754] :
( ~ gg_TPTP_ind(X753)
| ~ gg_TPTP_ind(X754)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X753),X754))
| X753 = X754 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
cnf(c_0_26,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
fequal_TPTP_ind = scratc1289496631d_n_is,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,plain,
! [X59,X60] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X59,X60)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind]) ).
fof(c_0_29,plain,
! [X751,X752] :
( X751 != X752
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X751),X752)) ),
inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T]) ).
cnf(c_0_30,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1289496631d_n_is,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))) ),
inference(rw,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_31,plain,
( X1 = X2
| ~ gg_TPTP_ind(X1)
| ~ gg_TPTP_ind(X2)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1)),aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X336,X337,X338,X339,X340] :
( ( ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X336),X337))
| ~ gg_TPTP_ind(X338)
| ~ scratc1829621698_is_of(X338,X336)
| pp(aa_TPTP_ind_bool(X337,X338)) )
& ( gg_TPTP_ind(esk13_2(X339,X340))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340)) )
& ( scratc1829621698_is_of(esk13_2(X339,X340),X339)
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340)) )
& ( ~ pp(aa_TPTP_ind_bool(X340,esk13_2(X339,X340)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X339),X340)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_def__all__of])])])])])]) ).
fof(c_0_36,plain,
! [X742] :
( ~ gg_bool(X742)
| X742 = fTrue
| X742 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_37,hypothesis,
! [X61,X62] : gg_bool(aa_fun171081125l_bool(X61,X62)),
inference(variable_rename,[status(thm)],[gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool]) ).
cnf(c_0_38,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1))) ),
inference(rw,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_39,plain,
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc932095312bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1884559291d_plus,X1)),scratc214542084nd_n_1) = aa_TPTP_ind_TPTP_ind(scratc236248354rdsucc,X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_33])]) ).
cnf(c_0_40,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( pp(aa_TPTP_ind_bool(X2,X3))
| ~ pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2))
| ~ gg_TPTP_ind(X3)
| ~ scratc1829621698_is_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(split_conjunct,[status(thm)],[fact_satz4a]) ).
fof(c_0_43,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_44,plain,
( X1 = fTrue
| X1 = fFalse
| ~ gg_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,hypothesis,
gg_bool(aa_fun171081125l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X2),X1))
| ~ pp(aa_TPTP_ind_bool(X1,esk13_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X1))
| ~ scratc1829621698_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( scratc1829621698_is_of(esk13_2(X1,X2),X1)
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( gg_TPTP_ind(esk13_2(X1,X2))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,hypothesis,
( aa_fun171081125l_bool(X1,X2) = fTrue
| aa_fun171081125l_bool(X1,X2) = fFalse ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[help_pp_2_1_U]) ).
fof(c_0_54,plain,
~ pp(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
cnf(c_0_55,plain,
( pp(aa_fun171081125l_bool(scratc1153622423all_of(X1),aTP_Lamm_aa))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk13_2(X1,aTP_Lamm_aa))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,esk13_2(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_57,negated_conjecture,
aa_fun171081125l_bool(scratc1153622423all_of(aTP_Lamm_a),aTP_Lamm_aa) = fFalse,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,plain,
~ pp(fFalse),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM639+4 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 08:02:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 7.55/7.65 % Version : CSE_E---1.5
% 7.55/7.65 % Problem : theBenchmark.p
% 7.55/7.65 % Proof found
% 7.55/7.65 % SZS status Theorem for theBenchmark.p
% 7.55/7.65 % SZS output start Proof
% See solution above
% 7.61/7.66 % Total time : 7.077000 s
% 7.61/7.66 % SZS output end Proof
% 7.61/7.66 % Total time : 7.090000 s
%------------------------------------------------------------------------------