0.12/0.28 % Problem : SLH0224^1 : TPTP v8.2.0. Released v8.2.0. 0.12/0.29 % Command : run_E %s %d THM 0.30/0.50 % Computer : n008.cluster.edu 0.30/0.50 % Model : x86_64 x86_64 0.30/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.30/0.50 % Memory : 8042.1875MB 0.30/0.50 % OS : Linux 3.10.0-693.el7.x86_64 0.30/0.50 % CPULimit : 30 0.30/0.50 % WCLimit : 30 0.30/0.50 % DateTime : Mon Jul 3 09:25:04 EDT 2023 0.30/0.50 % CPUTime : 0.47/0.62 The problem SPC is TH0_THM_EQU_NAR 0.47/0.63 Running higher-order on 1 cores theorem proving 0.47/0.63 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.BoPVtDZesX/Vampire---4.8_11317 0.47/0.63 # Version: 3.0pre003-ho 1.50/1.76 # Preprocessing class: HMLMSMSMSSLNHSA. 1.50/1.76 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.76 # Starting sh2lt with 30s (1) cores 1.50/1.76 # sh2lt with pid 11659 completed with status 0 1.50/1.76 # Result found by sh2lt 1.50/1.76 # Preprocessing class: HMLMSMSMSSLNHSA. 1.50/1.76 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.76 # Starting sh2lt with 30s (1) cores 1.50/1.76 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 1.50/1.76 # ...ProofStateSinE()=1032/1595 1.50/1.76 # Search class: HGHSM-SMLM32-MHSFFSBC 1.50/1.76 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.50/1.76 # Starting full_lambda_3 with 13s (1) cores 1.50/1.76 # full_lambda_3 with pid 11660 completed with status 0 1.50/1.76 # Result found by full_lambda_3 1.50/1.76 # Preprocessing class: HMLMSMSMSSLNHSA. 1.50/1.76 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.50/1.76 # Starting sh2lt with 30s (1) cores 1.50/1.76 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 1.50/1.76 # ...ProofStateSinE()=1032/1595 1.50/1.76 # Search class: HGHSM-SMLM32-MHSFFSBC 1.50/1.76 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.50/1.76 # Starting full_lambda_3 with 13s (1) cores 1.50/1.76 # Preprocessing time : 0.030 s 1.50/1.76 1.50/1.76 # Proof found! 1.50/1.76 # SZS status Theorem 1.50/1.76 # SZS output start CNFRefutation 1.50/1.76 thf(decl_22, type, abs_ky7385543178848499077ty_q_a: int > finite_mod_ring_a > int). 1.50/1.76 thf(decl_23, type, finite8272632373135393572ring_a: int > finite_mod_ring_a). 1.50/1.76 thf(decl_24, type, finite_card_nat: set_nat > nat). 1.50/1.76 thf(decl_25, type, finite410649719033368117t_unit: set_Product_unit > nat). 1.50/1.76 thf(decl_26, type, finite_card_literal: set_literal > nat). 1.50/1.76 thf(decl_27, type, finite_card_a: set_a > nat). 1.50/1.76 thf(decl_28, type, finite_card_k: set_k > nat). 1.50/1.76 thf(decl_29, type, finite_finite_int: set_int > $o). 1.50/1.76 thf(decl_30, type, finite_finite_nat: set_nat > $o). 1.50/1.76 thf(decl_31, type, finite1345302120164226195on_int: set_option_int > $o). 1.50/1.76 thf(decl_32, type, finite5523153139673422903on_nat: set_option_nat > $o). 1.50/1.76 thf(decl_33, type, finite5071707688241699267iteral: set_option_literal > $o). 1.50/1.76 thf(decl_34, type, finite8538819444610802378_a_int: set_op4663674388764857473_a_int > $o). 1.50/1.76 thf(decl_35, type, finite1805530552687753326_a_nat: set_op253850770698000421_a_nat > $o). 1.50/1.76 thf(decl_36, type, finite4395790607415157986iteral: set_op9091751293550158209iteral > $o). 1.50/1.76 thf(decl_37, type, finite1645826242794645004um_a_a: set_op510524920731878315um_a_a > $o). 1.50/1.76 thf(decl_38, type, finite2356166643258104854um_a_k: set_op2968795848405849269um_a_k > $o). 1.50/1.76 thf(decl_39, type, finite1674126218327898605tion_a: set_option_a > $o). 1.50/1.76 thf(decl_40, type, finite1674126261360186615tion_k: set_option_k > $o). 1.50/1.76 thf(decl_41, type, finite1999359929226648326at_int: set_Pr7995236796853374141at_int > $o). 1.50/1.76 thf(decl_42, type, finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o). 1.50/1.76 thf(decl_43, type, finite211349803975347344iteral: set_Pr4449086587592242223iteral > $o). 1.50/1.76 thf(decl_44, type, finite659689790015031866_nat_a: set_Pr4193341848836149977_nat_a > $o). 1.50/1.76 thf(decl_45, type, finite659689833047319876_nat_k: set_Pr4903682249299609827_nat_k > $o). 1.50/1.76 thf(decl_46, type, finite721479793992090950al_int: set_Pr9102273622027776485al_int > $o). 1.50/1.76 thf(decl_47, type, finite4899330813501287658al_nat: set_Pr2368984730104727433al_nat > $o). 1.50/1.76 thf(decl_48, type, finite1012402614658241104iteral: set_Pr5326375054644909319iteral > $o). 1.50/1.76 thf(decl_49, type, finite2701490621300961274eral_a: set_Pr1884796160379299761eral_a > $o). 1.50/1.76 thf(decl_50, type, finite2701490664333249284eral_k: set_Pr2595136560842759611eral_k > $o). 1.50/1.76 thf(decl_51, type, finite_finite_real: set_real > $o). 1.50/1.76 thf(decl_52, type, finite6197958912794628473et_int: set_set_int > $o). 1.50/1.76 thf(decl_53, type, finite1152437895449049373et_nat: set_set_nat > $o). 1.50/1.76 thf(decl_54, type, finite2869373537460367197iteral: set_set_literal > $o). 1.50/1.76 thf(decl_55, type, finite2352424848130579556_a_int: set_se91200094840304411_a_int > $o). 1.50/1.76 thf(decl_56, type, finite4842507993062306312_a_nat: set_se4904748513628223167_a_nat > $o). 1.50/1.76 thf(decl_57, type, finite840078807925577928iteral: set_se861672258443489383iteral > $o). 1.50/1.76 thf(decl_58, type, finite3912659183269027570um_a_a: set_set_Sum_sum_a_a > $o). 1.50/1.76 thf(decl_59, type, finite4622999583732487420um_a_k: set_set_Sum_sum_a_k > $o). 1.50/1.76 thf(decl_60, type, finite_finite_set_a: set_set_a > $o). 1.50/1.76 thf(decl_61, type, finite_finite_set_k: set_set_k > $o). 1.50/1.76 thf(decl_62, type, finite5847741373460823677iteral: set_literal > $o). 1.50/1.76 thf(decl_63, type, finite2009855664264564338at_int: set_Sum_sum_nat_int > $o). 1.50/1.76 thf(decl_64, type, finite6187706683773761046at_nat: set_Sum_sum_nat_nat > $o). 1.50/1.76 thf(decl_65, type, finite7336130560110450212iteral: set_Su4835947104832017115iteral > $o). 1.50/1.76 thf(decl_66, type, finite3740268481367103950_nat_a: set_Sum_sum_nat_a > $o). 1.50/1.76 thf(decl_67, type, finite3740268524399391960_nat_k: set_Sum_sum_nat_k > $o). 1.50/1.76 thf(decl_68, type, finite7846260550127193818al_int: set_Su265762102412775569al_int > $o). 1.50/1.76 thf(decl_69, type, finite2800739532781614718al_nat: set_Su2755845247344502325al_nat > $o). 1.50/1.76 thf(decl_70, type, finite8615155063774727100iteral: set_Su681948970226885467iteral > $o). 1.50/1.76 thf(decl_71, type, finite2711986356338877286eral_a: set_Su2043011610329717765eral_a > $o). 1.50/1.76 thf(decl_72, type, finite2711986399371165296eral_k: set_Su2753352010793177615eral_k > $o). 1.50/1.76 thf(decl_73, type, finite5547626034989006084_a_int: set_Sum_sum_a_int > $o). 1.50/1.76 thf(decl_74, type, finite502105017643426984_a_nat: set_Sum_sum_a_nat > $o). 1.50/1.76 thf(decl_75, type, finite4827115115155195666iteral: set_Su6157714002898725297iteral > $o). 1.50/1.76 thf(decl_76, type, finite51705147264084924um_a_a: set_Sum_sum_a_a > $o). 1.50/1.76 thf(decl_77, type, finite51705190296372934um_a_k: set_Sum_sum_a_k > $o). 1.50/1.76 thf(decl_78, type, finite_finite_a: set_a > $o). 1.50/1.76 thf(decl_79, type, finite_finite_k: set_k > $o). 1.50/1.76 thf(decl_80, type, formal3683295897622742886n_real: real > formal3361831859752904756s_real). 1.50/1.76 thf(decl_81, type, one_on2109788427901206336ring_a: finite_mod_ring_a). 1.50/1.76 thf(decl_82, type, one_one_int: int). 1.50/1.76 thf(decl_83, type, one_one_nat: nat). 1.50/1.76 thf(decl_84, type, one_one_real: real). 1.50/1.76 thf(decl_85, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 1.50/1.76 thf(decl_86, type, plus_plus_int: int > int > int). 1.50/1.76 thf(decl_87, type, plus_plus_Kyber_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 1.50/1.76 thf(decl_88, type, plus_plus_nat: nat > nat > nat). 1.50/1.76 thf(decl_89, type, plus_p7290290253215468682ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 1.50/1.76 thf(decl_90, type, plus_plus_poly_int: poly_int > poly_int > poly_int). 1.50/1.76 thf(decl_91, type, plus_plus_poly_nat: poly_nat > poly_nat > poly_nat). 1.50/1.76 thf(decl_92, type, plus_plus_poly_real: poly_real > poly_real > poly_real). 1.50/1.76 thf(decl_93, type, plus_plus_real: real > real > real). 1.50/1.76 thf(decl_94, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 1.50/1.76 thf(decl_95, type, times_times_int: int > int > int). 1.50/1.76 thf(decl_96, type, times_times_nat: nat > nat > nat). 1.50/1.76 thf(decl_97, type, times_3242606764180207630ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 1.50/1.76 thf(decl_98, type, times_times_poly_int: poly_int > poly_int > poly_int). 1.50/1.76 thf(decl_99, type, times_times_poly_nat: poly_nat > poly_nat > poly_nat). 1.50/1.76 thf(decl_100, type, times_7914811829580426937y_real: poly_real > poly_real > poly_real). 1.50/1.76 thf(decl_101, type, times_times_real: real > real > real). 1.50/1.76 thf(decl_102, type, zero_z7902377541816115708ring_a: finite_mod_ring_a). 1.50/1.76 thf(decl_103, type, zero_z7760665558314615101s_real: formal3361831859752904756s_real). 1.50/1.76 thf(decl_104, type, zero_zero_int: int). 1.50/1.76 thf(decl_105, type, zero_zero_Kyber_qr_a: kyber_qr_a). 1.50/1.76 thf(decl_106, type, zero_zero_nat: nat). 1.50/1.76 thf(decl_107, type, zero_z1830546546923837194ring_a: poly_F3299452240248304339ring_a). 1.50/1.76 thf(decl_108, type, zero_zero_poly_int: poly_int). 1.50/1.76 thf(decl_109, type, zero_zero_poly_nat: poly_nat). 1.50/1.76 thf(decl_110, type, zero_zero_poly_real: poly_real). 1.50/1.76 thf(decl_111, type, zero_zero_real: real). 1.50/1.76 thf(decl_112, type, if_Finite_mod_ring_a: $o > finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 1.50/1.76 thf(decl_113, type, if_int: $o > int > int > int). 1.50/1.76 thf(decl_114, type, if_nat: $o > nat > nat > nat). 1.50/1.76 thf(decl_115, type, if_real: $o > real > real > real). 1.50/1.76 thf(decl_116, type, nat2: int > nat). 1.50/1.76 thf(decl_117, type, ring_1_of_int_real: int > real). 1.50/1.76 thf(decl_118, type, kyber_kyber_spec_a_a: itself_a > itself_a > int > int > nat > nat > $o). 1.50/1.76 thf(decl_119, type, kyber_kyber_spec_a_k: itself_a > itself_k > int > int > nat > nat > $o). 1.50/1.76 thf(decl_120, type, kyber_of_qr_a: kyber_qr_a > poly_F3299452240248304339ring_a). 1.50/1.76 thf(decl_121, type, kyber_5808863167042391122g_qr_a: itself_a > nat). 1.50/1.76 thf(decl_122, type, suc: nat > nat). 1.50/1.76 thf(decl_123, type, semiri1314217659103216013at_int: nat > int). 1.50/1.76 thf(decl_124, type, semiri5074537144036343181t_real: nat > real). 1.50/1.76 thf(decl_125, type, ord_less_int: int > int > $o). 1.50/1.76 thf(decl_126, type, ord_less_nat: nat > nat > $o). 1.50/1.76 thf(decl_127, type, ord_less_real: real > real > $o). 1.50/1.76 thf(decl_128, type, ord_less_set_int: set_int > set_int > $o). 1.50/1.76 thf(decl_129, type, ord_less_set_nat: set_nat > set_nat > $o). 1.50/1.76 thf(decl_130, type, ord_less_set_literal: set_literal > set_literal > $o). 1.50/1.76 thf(decl_131, type, ord_le2148885262193138791_a_int: set_Sum_sum_a_int > set_Sum_sum_a_int > $o). 1.50/1.76 thf(decl_132, type, ord_le4638968407124865547_a_nat: set_Sum_sum_a_nat > set_Sum_sum_a_nat > $o). 1.50/1.76 thf(decl_133, type, ord_le7641624973336505861iteral: set_Su6157714002898725297iteral > set_Su6157714002898725297iteral > $o). 1.50/1.76 thf(decl_134, type, ord_le344224956271909295um_a_a: set_Sum_sum_a_a > set_Sum_sum_a_a > $o). 1.50/1.76 thf(decl_135, type, ord_le1054565356735369145um_a_k: set_Sum_sum_a_k > set_Sum_sum_a_k > $o). 1.50/1.76 thf(decl_136, type, ord_less_set_a: set_a > set_a > $o). 1.50/1.76 thf(decl_137, type, ord_less_set_k: set_k > set_k > $o). 1.50/1.76 thf(decl_138, type, ord_less_eq_int: int > int > $o). 1.50/1.76 thf(decl_139, type, ord_less_eq_nat: nat > nat > $o). 1.50/1.76 thf(decl_140, type, ord_less_eq_real: real > real > $o). 1.50/1.76 thf(decl_141, type, top_top_int_o: int > $o). 1.50/1.76 thf(decl_142, type, top_top_nat_o: nat > $o). 1.50/1.76 thf(decl_143, type, top_top_literal_o: literal > $o). 1.50/1.76 thf(decl_144, type, top_to8543423466821335442_int_o: sum_sum_a_int > $o). 1.50/1.76 thf(decl_145, type, top_to1565196397637005550_nat_o: sum_sum_a_nat > $o). 1.50/1.76 thf(decl_146, type, top_to5167938553016992612eral_o: sum_sum_a_literal > $o). 1.50/1.76 thf(decl_147, type, top_to1463224201319616570_a_a_o: sum_sum_a_a > $o). 1.50/1.76 thf(decl_148, type, top_to1258784492157183664_a_k_o: sum_sum_a_k > $o). 1.50/1.76 thf(decl_149, type, top_top_a_o: a > $o). 1.50/1.76 thf(decl_150, type, top_top_k_o: k > $o). 1.50/1.76 thf(decl_151, type, top_to2069866484006881781ring_a: set_Fi2982333969990053029ring_a). 1.50/1.76 thf(decl_152, type, top_top_set_int: set_int). 1.50/1.76 thf(decl_153, type, top_top_set_nat: set_nat). 1.50/1.76 thf(decl_154, type, top_to6430115241214627170on_int: set_option_int). 1.50/1.76 thf(decl_155, type, top_to8920198386146353926on_nat: set_option_nat). 1.50/1.76 thf(decl_156, type, top_to8248435444729185354iteral: set_option_literal). 1.50/1.76 thf(decl_157, type, top_to846649352091849169_a_int: set_op4663674388764857473_a_int). 1.50/1.76 thf(decl_158, type, top_to5660197770879767925_a_nat: set_op253850770698000421_a_nat). 1.50/1.76 thf(decl_159, type, top_to4735246800599806001iteral: set_op9091751293550158209iteral). 1.50/1.76 thf(decl_160, type, top_to7704506711292820059um_a_a: set_op510524920731878315um_a_a). 1.50/1.76 thf(decl_161, type, top_to939405602112015205um_a_k: set_op2968795848405849269um_a_k). 1.50/1.76 thf(decl_162, type, top_top_set_option_a: set_option_a). 1.50/1.76 thf(decl_163, type, top_top_set_option_k: set_option_k). 1.50/1.76 thf(decl_164, type, top_to2179722763343057421at_int: set_Pr7995236796853374141at_int). 1.50/1.76 thf(decl_165, type, top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat). 1.50/1.76 thf(decl_166, type, top_to6658620532179778271iteral: set_Pr4449086587592242223iteral). 1.50/1.76 thf(decl_167, type, top_to2612598781856825737_nat_a: set_Pr4193341848836149977_nat_a). 1.50/1.76 thf(decl_168, type, top_to3322939182320285587_nat_k: set_Pr4903682249299609827_nat_k). 1.50/1.76 thf(decl_169, type, top_to2088435529760536725al_int: set_Pr9102273622027776485al_int). 1.50/1.76 thf(decl_170, type, top_to4578518674692263481al_nat: set_Pr2368984730104727433al_nat). 1.50/1.76 thf(decl_171, type, top_to594236051165446743iteral: set_Pr5326375054644909319iteral). 1.50/1.76 thf(decl_172, type, top_to5292654163723758849eral_a: set_Pr1884796160379299761eral_a). 1.50/1.76 thf(decl_173, type, top_to6002994564187218699eral_k: set_Pr2595136560842759611eral_k). 1.50/1.76 thf(decl_174, type, top_to1996260823553986621t_unit: set_Product_unit). 1.50/1.76 thf(decl_175, type, top_top_set_real: set_real). 1.50/1.76 thf(decl_176, type, top_top_set_set_int: set_set_int). 1.50/1.76 thf(decl_177, type, top_top_set_set_nat: set_set_nat). 1.50/1.76 thf(decl_178, type, top_to5694933271948605156iteral: set_set_literal). 1.50/1.76 thf(decl_179, type, top_to4272413427453552747_a_int: set_se91200094840304411_a_int). 1.50/1.76 thf(decl_180, type, top_to9085961846241471503_a_nat: set_se4904748513628223167_a_nat). 1.50/1.76 thf(decl_181, type, top_to3940348079225390871iteral: set_se861672258443489383iteral). 1.50/1.76 thf(decl_182, type, top_to6898743162770232897um_a_a: set_set_Sum_sum_a_a). 1.50/1.76 thf(decl_183, type, top_to133642053589428043um_a_k: set_set_Sum_sum_a_k). 1.50/1.76 thf(decl_184, type, top_top_set_set_a: set_set_a). 1.50/1.76 thf(decl_185, type, top_top_set_set_k: set_set_k). 1.50/1.76 thf(decl_186, type, top_top_set_literal: set_literal). 1.50/1.76 thf(decl_187, type, top_to4171737849581180865at_int: set_Sum_sum_nat_int). 1.50/1.76 thf(decl_188, type, top_to6661820994512907621at_nat: set_Sum_sum_nat_nat). 1.50/1.76 thf(decl_189, type, top_to148093990134820907iteral: set_Su4835947104832017115iteral). 1.50/1.76 thf(decl_190, type, top_to54524901450547413_nat_a: set_Sum_sum_nat_a). 1.50/1.76 thf(decl_191, type, top_to764865301914007263_nat_k: set_Sum_sum_nat_k). 1.50/1.76 thf(decl_192, type, top_to4801281024570355169al_int: set_Su265762102412775569al_int). 1.50/1.76 thf(decl_193, type, top_to7291364169502081925al_nat: set_Su2755845247344502325al_nat). 1.50/1.76 thf(decl_194, type, top_to8459027286199865867iteral: set_Su681948970226885467iteral). 1.50/1.76 thf(decl_195, type, top_to7284669249961882293eral_a: set_Su2043011610329717765eral_a). 1.50/1.76 thf(decl_196, type, top_to7995009650425342143eral_k: set_Su2753352010793177615eral_k). 1.50/1.76 thf(decl_197, type, top_to7528907356895570187_a_int: set_Sum_sum_a_int). 1.50/1.76 thf(decl_198, type, top_to795618464972521135_a_nat: set_Sum_sum_a_nat). 1.50/1.76 thf(decl_199, type, top_to2175999605676114017iteral: set_Su6157714002898725297iteral). 1.50/1.76 thf(decl_200, type, top_to8848906000605539851um_a_a: set_Sum_sum_a_a). 1.50/1.76 thf(decl_201, type, top_to335874364214223893um_a_k: set_Sum_sum_a_k). 1.50/1.76 thf(decl_202, type, top_top_set_a: set_a). 1.50/1.76 thf(decl_203, type, top_top_set_k: set_k). 1.50/1.76 thf(decl_204, type, coeff_1607515655354303335ring_a: poly_F3299452240248304339ring_a > nat > finite_mod_ring_a). 1.50/1.76 thf(decl_205, type, coeff_int: poly_int > nat > int). 1.50/1.76 thf(decl_206, type, coeff_nat: poly_nat > nat > nat). 1.50/1.76 thf(decl_207, type, coeff_real: poly_real > nat > real). 1.50/1.76 thf(decl_208, type, type_a: itself_a). 1.50/1.76 thf(decl_209, type, type_k: itself_k). 1.50/1.76 thf(decl_210, type, dvd_dvd_int: int > int > $o). 1.50/1.76 thf(decl_211, type, dvd_dvd_nat: nat > nat > $o). 1.50/1.76 thf(decl_212, type, collect_int: (int > $o) > set_int). 1.50/1.76 thf(decl_213, type, collect_nat: (nat > $o) > set_nat). 1.50/1.76 thf(decl_214, type, collect_literal: (literal > $o) > set_literal). 1.50/1.76 thf(decl_215, type, collec2895206842034026310_a_int: (sum_sum_a_int > $o) > set_Sum_sum_a_int). 1.50/1.76 thf(decl_216, type, collec7073057861543223018_a_nat: (sum_sum_a_nat > $o) > set_Sum_sum_a_nat). 1.50/1.76 thf(decl_217, type, collec393006272792125520iteral: (sum_sum_a_literal > $o) > set_Su6157714002898725297iteral). 1.50/1.76 thf(decl_218, type, collect_Sum_sum_a_a: (sum_sum_a_a > $o) > set_Sum_sum_a_a). 1.50/1.76 thf(decl_219, type, collect_Sum_sum_a_k: (sum_sum_a_k > $o) > set_Sum_sum_a_k). 1.50/1.76 thf(decl_220, type, collect_a: (a > $o) > set_a). 1.50/1.76 thf(decl_221, type, collect_k: (k > $o) > set_k). 1.50/1.76 thf(decl_222, type, image_3815122860822722885ring_a: (finite_mod_ring_a > finite_mod_ring_a) > set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a). 1.50/1.76 thf(decl_223, type, image_int_int: (int > int) > set_int > set_int). 1.50/1.76 thf(decl_224, type, image_int_nat: (int > nat) > set_int > set_nat). 1.50/1.76 thf(decl_225, type, image_int_real: (int > real) > set_int > set_real). 1.50/1.76 thf(decl_226, type, image_int_a: (int > a) > set_int > set_a). 1.50/1.76 thf(decl_227, type, image_int_k: (int > k) > set_int > set_k). 1.50/1.76 thf(decl_228, type, image_nat_int: (nat > int) > set_nat > set_int). 1.50/1.76 thf(decl_229, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 1.50/1.76 thf(decl_230, type, image_nat_real: (nat > real) > set_nat > set_real). 1.50/1.76 thf(decl_231, type, image_nat_literal: (nat > literal) > set_nat > set_literal). 1.50/1.76 thf(decl_232, type, image_nat_a: (nat > a) > set_nat > set_a). 1.50/1.76 thf(decl_233, type, image_nat_k: (nat > k) > set_nat > set_k). 1.50/1.76 thf(decl_234, type, image_real_real: (real > real) > set_real > set_real). 1.50/1.76 thf(decl_235, type, image_literal_int: (literal > int) > set_literal > set_int). 1.50/1.76 thf(decl_236, type, image_literal_nat: (literal > nat) > set_literal > set_nat). 1.50/1.76 thf(decl_237, type, image_literal_real: (literal > real) > set_literal > set_real). 1.50/1.76 thf(decl_238, type, image_8195128725298311301iteral: (literal > literal) > set_literal > set_literal). 1.50/1.76 thf(decl_239, type, image_literal_a: (literal > a) > set_literal > set_a). 1.50/1.76 thf(decl_240, type, image_literal_k: (literal > k) > set_literal > set_k). 1.50/1.76 thf(decl_241, type, image_4660800182227576294nt_nat: (sum_sum_a_int > nat) > set_Sum_sum_a_int > set_nat). 1.50/1.76 thf(decl_242, type, image_2473878607534554506at_nat: (sum_sum_a_nat > nat) > set_Sum_sum_a_nat > set_nat). 1.50/1.76 thf(decl_243, type, image_8188929225396534482al_nat: (sum_sum_a_literal > nat) > set_Su6157714002898725297iteral > set_nat). 1.50/1.76 thf(decl_244, type, image_a_int: (a > int) > set_a > set_int). 1.50/1.76 thf(decl_245, type, image_a_nat: (a > nat) > set_a > set_nat). 1.50/1.76 thf(decl_246, type, image_k_int: (k > int) > set_k > set_int). 1.50/1.76 thf(decl_247, type, image_k_nat: (k > nat) > set_k > set_nat). 1.50/1.76 thf(decl_248, type, member3034048621153491438ring_a: finite_mod_ring_a > set_Fi2982333969990053029ring_a > $o). 1.50/1.76 thf(decl_249, type, member_int: int > set_int > $o). 1.50/1.76 thf(decl_250, type, member_nat: nat > set_nat > $o). 1.50/1.76 thf(decl_251, type, member_real: real > set_real > $o). 1.50/1.76 thf(decl_252, type, member_literal: literal > set_literal > $o). 1.50/1.76 thf(decl_253, type, member_Sum_sum_a_int: sum_sum_a_int > set_Sum_sum_a_int > $o). 1.50/1.76 thf(decl_254, type, member_Sum_sum_a_nat: sum_sum_a_nat > set_Sum_sum_a_nat > $o). 1.50/1.76 thf(decl_255, type, member7222593460729066002iteral: sum_sum_a_literal > set_Su6157714002898725297iteral > $o). 1.50/1.76 thf(decl_256, type, member_Sum_sum_a_a: sum_sum_a_a > set_Sum_sum_a_a > $o). 1.50/1.76 thf(decl_257, type, member_Sum_sum_a_k: sum_sum_a_k > set_Sum_sum_a_k > $o). 1.50/1.76 thf(decl_258, type, member_a: a > set_a > $o). 1.50/1.76 thf(decl_259, type, member_k: k > set_k > $o). 1.50/1.76 thf(decl_260, type, k2: nat). 1.50/1.76 thf(decl_261, type, n: int). 1.50/1.76 thf(decl_262, type, n2: nat). 1.50/1.76 thf(decl_263, type, q: int). 1.50/1.76 thf(decl_264, type, x: kyber_qr_a). 1.50/1.76 thf(decl_265, type, y: kyber_qr_a). 1.50/1.76 thf(decl_266, type, esk1_3: set_literal > set_int > (literal > int > $o) > literal). 1.50/1.76 thf(decl_267, type, esk2_3: set_literal > set_int > (literal > int > $o) > int). 1.50/1.76 thf(decl_268, type, esk3_3: set_int > set_int > (int > int > $o) > int). 1.50/1.76 thf(decl_269, type, esk4_3: set_int > set_int > (int > int > $o) > int). 1.50/1.76 thf(decl_270, type, esk5_3: set_int > set_nat > (int > nat > $o) > int). 1.50/1.76 thf(decl_271, type, esk6_3: set_int > set_nat > (int > nat > $o) > nat). 1.50/1.76 thf(decl_272, type, esk7_3: set_int > set_k > (int > k > $o) > int). 1.50/1.76 thf(decl_273, type, esk8_3: set_int > set_k > (int > k > $o) > k). 1.50/1.76 thf(decl_274, type, esk9_3: set_int > set_a > (int > a > $o) > int). 1.50/1.76 thf(decl_275, type, esk10_3: set_int > set_a > (int > a > $o) > a). 1.50/1.76 thf(decl_276, type, esk11_3: set_nat > set_int > (nat > int > $o) > nat). 1.50/1.76 thf(decl_277, type, esk12_3: set_nat > set_int > (nat > int > $o) > int). 1.50/1.76 thf(decl_278, type, esk13_1: (int > $o) > int). 1.50/1.76 thf(decl_279, type, esk14_1: set_int > int). 1.50/1.76 thf(decl_280, type, esk15_2: set_literal > (literal > int) > literal). 1.50/1.76 thf(decl_281, type, esk16_2: set_int > (int > int) > int). 1.50/1.76 thf(decl_282, type, esk17_2: set_int > (int > nat) > int). 1.50/1.76 thf(decl_283, type, esk18_2: set_nat > (nat > int) > nat). 1.50/1.76 thf(decl_284, type, esk19_3: (nat > int) > set_nat > (int > $o) > int). 1.50/1.76 thf(decl_285, type, esk20_4: set_nat > set_nat > (nat > int) > (nat > int) > nat). 1.50/1.76 thf(decl_286, type, esk21_3: (nat > int) > set_nat > (int > $o) > nat). 1.50/1.76 thf(decl_287, type, esk22_3: int > (nat > int) > set_nat > nat). 1.50/1.76 thf(decl_288, type, esk23_3: int > (nat > int) > set_nat > nat). 1.50/1.76 thf(decl_289, type, esk24_2: int > (nat > int) > nat). 1.50/1.76 thf(decl_290, type, esk25_2: (nat > int) > int > nat). 1.50/1.76 thf(decl_291, type, esk26_1: (nat > int) > int). 1.50/1.76 thf(decl_292, type, esk27_2: (nat > int) > (int > nat) > int). 1.50/1.76 thf(decl_293, type, esk28_2: (nat > int) > int > nat). 1.50/1.76 thf(decl_294, type, esk29_2: (nat > int) > int > nat). 1.50/1.76 thf(decl_295, type, esk30_0: nat). 1.50/1.76 thf(decl_296, type, esk31_1: set_nat > nat). 1.50/1.76 thf(decl_297, type, esk32_1: set_nat > nat). 1.50/1.76 thf(decl_298, type, esk33_2: nat > (nat > nat) > nat). 1.50/1.76 thf(decl_299, type, esk34_2: (literal > nat) > nat > literal). 1.50/1.76 thf(decl_300, type, esk35_1: (literal > nat) > nat). 1.50/1.76 thf(decl_301, type, esk36_2: (nat > nat) > nat > nat). 1.50/1.76 thf(decl_302, type, esk37_1: (nat > nat) > nat). 1.50/1.76 thf(decl_303, type, esk38_2: (literal > nat) > (nat > literal) > nat). 1.50/1.76 thf(decl_304, type, esk39_2: (nat > nat) > (nat > nat) > nat). 1.50/1.76 thf(decl_305, type, esk40_2: (literal > nat) > nat > literal). 1.50/1.76 thf(decl_306, type, esk41_2: (nat > nat) > nat > nat). 1.50/1.76 thf(decl_307, type, esk42_2: (literal > nat) > nat > literal). 1.50/1.76 thf(decl_308, type, esk43_2: (nat > nat) > nat > nat). 1.50/1.76 thf(decl_309, type, esk44_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 1.50/1.76 thf(decl_310, type, esk45_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 1.50/1.76 thf(decl_311, type, esk46_0: int). 1.50/1.76 thf(decl_312, type, esk47_1: set_int > int). 1.50/1.76 thf(decl_313, type, esk48_2: int > (int > int) > int). 1.50/1.76 thf(decl_314, type, esk49_2: nat > (int > nat) > int). 1.50/1.76 thf(decl_315, type, esk50_2: (literal > int) > int > literal). 1.50/1.76 thf(decl_316, type, esk51_1: (literal > int) > int). 1.50/1.76 thf(decl_317, type, esk52_2: (literal > int) > (int > literal) > int). 1.50/1.76 thf(decl_318, type, esk53_2: (literal > int) > int > literal). 1.50/1.76 thf(decl_319, type, esk54_2: (literal > int) > int > literal). 1.50/1.76 thf(decl_320, type, esk55_2: (int > $o) > (int > $o) > int). 1.50/1.76 thf(decl_321, type, esk56_3: (int > int) > set_int > (int > $o) > int). 1.50/1.76 thf(decl_322, type, esk57_4: set_int > set_int > (int > int) > (int > int) > int). 1.50/1.76 thf(decl_323, type, esk58_3: (int > int) > set_int > (int > $o) > int). 1.50/1.76 thf(decl_324, type, esk59_3: int > (int > int) > set_int > int). 1.50/1.76 thf(decl_325, type, esk60_3: int > (int > int) > set_int > int). 1.50/1.76 thf(decl_326, type, esk61_3: set_literal > set_nat > (literal > nat > $o) > literal). 1.50/1.76 thf(decl_327, type, esk62_3: set_literal > set_nat > (literal > nat > $o) > nat). 1.50/1.76 thf(decl_328, type, esk63_3: set_nat > set_nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_329, type, esk64_3: set_nat > set_nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_330, type, esk65_1: (nat > $o) > nat). 1.50/1.76 thf(decl_331, type, esk66_2: set_literal > (literal > nat) > literal). 1.50/1.76 thf(decl_332, type, esk67_2: set_nat > (nat > nat) > nat). 1.50/1.76 thf(decl_333, type, esk68_2: set_nat > nat > nat). 1.50/1.76 thf(decl_334, type, esk69_1: set_nat > nat). 1.50/1.76 thf(decl_335, type, esk70_2: nat > set_nat > nat). 1.50/1.76 thf(decl_336, type, esk71_2: set_nat > nat > nat). 1.50/1.76 thf(decl_337, type, esk72_1: set_nat > nat). 1.50/1.76 thf(decl_338, type, esk73_2: set_nat > nat > nat). 1.50/1.76 thf(decl_339, type, esk74_1: set_nat > nat). 1.50/1.76 thf(decl_340, type, esk75_2: set_nat > nat > nat). 1.50/1.76 thf(decl_341, type, esk76_2: set_nat > nat > nat). 1.50/1.76 thf(decl_342, type, esk77_1: set_nat > nat). 1.50/1.76 thf(decl_343, type, esk78_1: (nat > nat) > nat). 1.50/1.76 thf(decl_344, type, esk79_3: (int > nat) > set_int > (nat > $o) > nat). 1.50/1.76 thf(decl_345, type, esk80_4: set_int > set_int > (int > nat) > (int > nat) > int). 1.50/1.76 thf(decl_346, type, esk81_3: (int > nat) > set_int > (nat > $o) > int). 1.50/1.76 thf(decl_347, type, esk82_3: nat > (int > nat) > set_int > int). 1.50/1.76 thf(decl_348, type, esk83_3: nat > (int > nat) > set_int > int). 1.50/1.76 thf(decl_349, type, esk84_0: literal). 1.50/1.76 thf(decl_350, type, esk85_1: set_literal > literal). 1.50/1.76 thf(decl_351, type, esk86_1: set_literal > literal). 1.50/1.76 thf(decl_352, type, esk87_2: nat > (literal > nat) > literal). 1.50/1.76 thf(decl_353, type, esk88_3: int > int > (int > $o) > int). 1.50/1.76 thf(decl_354, type, esk89_2: int > int > nat). 1.50/1.76 thf(decl_355, type, esk90_3: int > int > (int > $o) > int). 1.50/1.76 thf(decl_356, type, esk91_2: int > int > nat). 1.50/1.76 thf(decl_357, type, esk92_2: int > (int > $o) > int). 1.50/1.76 thf(decl_358, type, esk93_3: set_literal > set_k > (literal > k > $o) > literal). 1.50/1.76 thf(decl_359, type, esk94_3: set_literal > set_k > (literal > k > $o) > k). 1.50/1.76 thf(decl_360, type, esk95_3: set_literal > set_a > (literal > a > $o) > literal). 1.50/1.76 thf(decl_361, type, esk96_3: set_literal > set_a > (literal > a > $o) > a). 1.50/1.76 thf(decl_362, type, esk97_1: (literal > $o) > literal). 1.50/1.76 thf(decl_363, type, esk98_2: set_literal > (literal > k) > literal). 1.50/1.76 thf(decl_364, type, esk99_2: set_literal > (literal > a) > literal). 1.50/1.76 thf(decl_365, type, esk100_2: (literal > $o) > (literal > $o) > literal). 1.50/1.76 thf(decl_366, type, esk101_3: (nat > nat) > set_nat > (nat > $o) > nat). 1.50/1.76 thf(decl_367, type, esk102_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 1.50/1.76 thf(decl_368, type, esk103_3: (nat > nat) > set_nat > (nat > $o) > nat). 1.50/1.76 thf(decl_369, type, esk104_3: nat > (nat > nat) > set_nat > nat). 1.50/1.76 thf(decl_370, type, esk105_3: nat > (nat > nat) > set_nat > nat). 1.50/1.76 thf(decl_371, type, esk106_0: k). 1.50/1.76 thf(decl_372, type, esk107_1: set_k > k). 1.50/1.76 thf(decl_373, type, esk108_1: set_k > k). 1.50/1.76 thf(decl_374, type, esk109_1: (k > $o) > k). 1.50/1.76 thf(decl_375, type, esk110_0: a). 1.50/1.76 thf(decl_376, type, esk111_1: set_a > a). 1.50/1.76 thf(decl_377, type, esk112_1: set_a > a). 1.50/1.76 thf(decl_378, type, esk113_1: (a > $o) > a). 1.50/1.76 thf(decl_379, type, esk114_2: (nat > $o) > (nat > $o) > nat). 1.50/1.76 thf(decl_380, type, esk115_1: int > nat). 1.50/1.76 thf(decl_381, type, esk116_1: int > nat). 1.50/1.76 thf(decl_382, type, esk117_2: (nat > $o) > int > nat). 1.50/1.76 thf(decl_383, type, esk118_1: int > nat). 1.50/1.76 thf(decl_384, type, esk119_1: int > nat). 1.50/1.76 thf(decl_385, type, esk120_1: (nat > $o) > nat). 1.50/1.76 thf(decl_386, type, esk121_1: (nat > $o) > int). 1.50/1.76 thf(decl_387, type, esk122_1: (nat > $o) > int). 1.50/1.76 thf(decl_388, type, esk123_1: (nat > $o) > nat). 1.50/1.76 thf(decl_389, type, esk124_2: nat > nat > nat). 1.50/1.76 thf(decl_390, type, esk125_1: (nat > $o) > nat). 1.50/1.76 thf(decl_391, type, esk126_2: nat > nat > nat). 1.50/1.76 thf(decl_392, type, esk127_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_393, type, esk128_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_394, type, esk129_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_395, type, esk130_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_396, type, esk131_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_397, type, esk132_1: nat > nat). 1.50/1.76 thf(decl_398, type, esk133_1: (nat > $o) > nat). 1.50/1.76 thf(decl_399, type, esk134_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_400, type, esk135_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_401, type, esk136_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_402, type, esk137_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_403, type, esk138_1: (nat > $o) > nat). 1.50/1.76 thf(decl_404, type, esk139_1: nat > nat). 1.50/1.76 thf(decl_405, type, esk140_1: (nat > $o) > nat). 1.50/1.76 thf(decl_406, type, esk141_1: nat > nat). 1.50/1.76 thf(decl_407, type, esk142_1: nat > nat). 1.50/1.76 thf(decl_408, type, esk143_2: nat > nat > nat). 1.50/1.76 thf(decl_409, type, esk144_1: (nat > $o) > nat). 1.50/1.76 thf(decl_410, type, esk145_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_411, type, esk146_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_412, type, esk147_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_413, type, esk148_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_414, type, esk149_2: (nat > $o) > nat > nat). 1.50/1.76 thf(decl_415, type, esk150_2: (nat > $o) > nat > nat). 1.50/1.76 thf(decl_416, type, esk151_2: nat > nat > nat). 1.50/1.76 thf(decl_417, type, esk152_2: nat > nat > nat). 1.50/1.76 thf(decl_418, type, esk153_2: nat > nat > nat). 1.50/1.76 thf(decl_419, type, esk154_2: nat > nat > nat). 1.50/1.76 thf(decl_420, type, esk155_2: nat > nat > nat). 1.50/1.76 thf(decl_421, type, esk156_1: (nat > nat) > nat). 1.50/1.76 thf(decl_422, type, esk157_1: (nat > nat) > nat). 1.50/1.76 thf(decl_423, type, esk158_1: int > int). 1.50/1.76 thf(decl_424, type, esk159_1: int > int). 1.50/1.76 thf(decl_425, type, esk160_1: (int > int > $o) > int). 1.50/1.76 thf(decl_426, type, esk161_1: (int > int > $o) > int). 1.50/1.76 thf(decl_427, type, esk162_1: (int > int > $o) > int). 1.50/1.76 thf(decl_428, type, esk163_1: (int > int > $o) > int). 1.50/1.76 thf(decl_429, type, esk164_1: (int > int > $o) > int). 1.50/1.76 thf(decl_430, type, esk165_4: int > (int > int) > int > int > int). 1.50/1.76 thf(decl_431, type, esk166_4: int > (int > int) > int > int > int). 1.50/1.76 thf(decl_432, type, esk167_4: nat > (int > nat) > int > int > int). 1.50/1.76 thf(decl_433, type, esk168_4: nat > (int > nat) > int > int > int). 1.50/1.76 thf(decl_434, type, esk169_4: real > (int > real) > int > int > int). 1.50/1.76 thf(decl_435, type, esk170_4: real > (int > real) > int > int > int). 1.50/1.76 thf(decl_436, type, esk171_4: int > (nat > int) > nat > nat > nat). 1.50/1.76 thf(decl_437, type, esk172_4: int > (nat > int) > nat > nat > nat). 1.50/1.76 thf(decl_438, type, esk173_4: int > (real > int) > real > real > real). 1.50/1.76 thf(decl_439, type, esk174_4: int > (real > int) > real > real > real). 1.50/1.76 thf(decl_440, type, esk175_4: int > int > (int > int) > int > int). 1.50/1.76 thf(decl_441, type, esk176_4: int > int > (int > int) > int > int). 1.50/1.76 thf(decl_442, type, esk177_4: int > int > (int > nat) > nat > int). 1.50/1.76 thf(decl_443, type, esk178_4: int > int > (int > nat) > nat > int). 1.50/1.76 thf(decl_444, type, esk179_4: int > int > (int > real) > real > int). 1.50/1.76 thf(decl_445, type, esk180_4: int > int > (int > real) > real > int). 1.50/1.76 thf(decl_446, type, esk181_4: nat > nat > (nat > int) > int > nat). 1.50/1.76 thf(decl_447, type, esk182_4: nat > nat > (nat > int) > int > nat). 1.50/1.76 thf(decl_448, type, esk183_4: real > real > (real > int) > int > real). 1.50/1.76 thf(decl_449, type, esk184_4: real > real > (real > int) > int > real). 1.50/1.76 thf(decl_450, type, esk185_4: int > (int > int) > int > int > int). 1.50/1.76 thf(decl_451, type, esk186_4: int > (int > int) > int > int > int). 1.50/1.76 thf(decl_452, type, esk187_4: int > (nat > int) > nat > nat > nat). 1.50/1.76 thf(decl_453, type, esk188_4: int > (nat > int) > nat > nat > nat). 1.50/1.76 thf(decl_454, type, esk189_4: int > (real > int) > real > real > real). 1.50/1.76 thf(decl_455, type, esk190_4: int > (real > int) > real > real > real). 1.50/1.76 thf(decl_456, type, esk191_4: nat > (int > nat) > int > int > int). 1.50/1.76 thf(decl_457, type, esk192_4: nat > (int > nat) > int > int > int). 1.50/1.76 thf(decl_458, type, esk193_4: real > (int > real) > int > int > int). 1.50/1.76 thf(decl_459, type, esk194_4: real > (int > real) > int > int > int). 1.50/1.76 thf(decl_460, type, esk195_4: int > int > (int > int) > int > int). 1.50/1.76 thf(decl_461, type, esk196_4: int > int > (int > int) > int > int). 1.50/1.76 thf(decl_462, type, esk197_4: int > int > (int > nat) > nat > int). 1.50/1.76 thf(decl_463, type, esk198_4: int > int > (int > nat) > nat > int). 1.50/1.76 thf(decl_464, type, esk199_4: int > int > (int > real) > real > int). 1.50/1.76 thf(decl_465, type, esk200_4: int > int > (int > real) > real > int). 1.50/1.76 thf(decl_466, type, esk201_4: nat > nat > (nat > int) > int > nat). 1.50/1.76 thf(decl_467, type, esk202_4: nat > nat > (nat > int) > int > nat). 1.50/1.76 thf(decl_468, type, esk203_4: real > real > (real > int) > int > real). 1.50/1.76 thf(decl_469, type, esk204_4: real > real > (real > int) > int > real). 1.50/1.76 thf(decl_470, type, esk205_1: nat > nat). 1.50/1.76 thf(decl_471, type, esk206_1: (nat > $o) > nat). 1.50/1.76 thf(decl_472, type, esk207_1: (nat > $o) > nat). 1.50/1.76 thf(decl_473, type, esk208_2: (nat > $o) > nat > nat). 1.50/1.76 thf(decl_474, type, esk209_1: (nat > $o) > nat). 1.50/1.76 thf(decl_475, type, esk210_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_476, type, esk211_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_477, type, esk212_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_478, type, esk213_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_479, type, esk214_1: (nat > nat > $o) > nat). 1.50/1.76 thf(decl_480, type, esk215_4: nat > (nat > nat) > nat > nat > nat). 1.50/1.76 thf(decl_481, type, esk216_4: nat > (nat > nat) > nat > nat > nat). 1.50/1.76 thf(decl_482, type, esk217_4: real > (nat > real) > nat > nat > nat). 1.50/1.76 thf(decl_483, type, esk218_4: real > (nat > real) > nat > nat > nat). 1.50/1.76 thf(decl_484, type, esk219_4: nat > (real > nat) > real > real > real). 1.50/1.76 thf(decl_485, type, esk220_4: nat > (real > nat) > real > real > real). 1.50/1.76 thf(decl_486, type, esk221_4: nat > nat > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_487, type, esk222_4: nat > nat > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_488, type, esk223_4: nat > nat > (nat > real) > real > nat). 1.50/1.76 thf(decl_489, type, esk224_4: nat > nat > (nat > real) > real > nat). 1.50/1.76 thf(decl_490, type, esk225_4: real > real > (real > nat) > nat > real). 1.50/1.76 thf(decl_491, type, esk226_4: real > real > (real > nat) > nat > real). 1.50/1.76 thf(decl_492, type, esk227_4: nat > (nat > nat) > nat > nat > nat). 1.50/1.76 thf(decl_493, type, esk228_4: nat > (nat > nat) > nat > nat > nat). 1.50/1.76 thf(decl_494, type, esk229_4: nat > (real > nat) > real > real > real). 1.50/1.76 thf(decl_495, type, esk230_4: nat > (real > nat) > real > real > real). 1.50/1.76 thf(decl_496, type, esk231_4: real > (nat > real) > nat > nat > nat). 1.50/1.76 thf(decl_497, type, esk232_4: real > (nat > real) > nat > nat > nat). 1.50/1.76 thf(decl_498, type, esk233_4: nat > nat > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_499, type, esk234_4: nat > nat > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_500, type, esk235_4: nat > nat > (nat > real) > real > nat). 1.50/1.76 thf(decl_501, type, esk236_4: nat > nat > (nat > real) > real > nat). 1.50/1.76 thf(decl_502, type, esk237_4: real > real > (real > nat) > nat > real). 1.50/1.76 thf(decl_503, type, esk238_4: real > real > (real > nat) > nat > real). 1.50/1.76 thf(decl_504, type, esk239_1: (nat > $o) > nat). 1.50/1.76 thf(decl_505, type, esk240_1: (nat > $o) > nat). 1.50/1.76 thf(decl_506, type, esk241_2: nat > nat > nat). 1.50/1.76 thf(decl_507, type, esk242_2: nat > nat > nat). 1.50/1.76 thf(decl_508, type, esk243_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_509, type, esk244_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_510, type, esk245_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_511, type, esk246_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_512, type, esk247_2: nat > nat > nat). 1.50/1.76 thf(decl_513, type, esk248_3: nat > nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_514, type, esk249_3: nat > nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_515, type, esk250_3: nat > nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_516, type, esk251_3: nat > nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_517, type, esk252_3: nat > nat > (nat > $o) > nat). 1.50/1.76 thf(decl_518, type, esk253_3: nat > nat > (nat > $o) > nat). 1.50/1.76 thf(decl_519, type, esk254_1: (nat > nat) > nat). 1.50/1.76 thf(decl_520, type, esk255_1: (nat > nat) > nat). 1.50/1.76 thf(decl_521, type, esk256_2: nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_522, type, esk257_2: nat > (nat > nat > $o) > nat). 1.50/1.76 thf(decl_523, type, esk258_3: nat > (nat > nat > $o) > nat > nat). 1.50/1.76 thf(decl_524, type, esk259_3: nat > nat > (nat > $o) > nat). 1.50/1.76 thf(decl_525, type, esk260_3: nat > nat > (nat > $o) > nat). 1.50/1.76 thf(decl_526, type, esk261_3: nat > nat > nat > nat). 1.50/1.76 thf(decl_527, type, esk262_3: nat > nat > nat > nat). 1.50/1.76 thf(decl_528, type, esk263_3: nat > nat > nat > nat). 1.50/1.76 thf(decl_529, type, esk264_3: nat > nat > nat > nat). 1.50/1.76 thf(decl_530, type, esk265_2: nat > nat > nat). 1.50/1.76 thf(decl_531, type, esk266_2: nat > nat > nat). 1.50/1.76 thf(decl_532, type, esk267_2: nat > nat > nat). 1.50/1.76 thf(decl_533, type, esk268_2: nat > nat > nat). 1.50/1.76 thf(decl_534, type, esk269_2: nat > nat > nat). 1.50/1.76 thf(decl_535, type, esk270_2: nat > nat > nat). 1.50/1.76 thf(decl_536, type, esk271_2: nat > nat > nat). 1.50/1.76 thf(decl_537, type, esk272_2: nat > nat > nat). 1.50/1.76 thf(decl_538, type, esk273_2: (literal > k) > k > literal). 1.50/1.76 thf(decl_539, type, esk274_1: (literal > k) > k). 1.50/1.76 thf(decl_540, type, esk275_2: (literal > k) > (k > literal) > k). 1.50/1.76 thf(decl_541, type, esk276_2: (literal > k) > k > literal). 1.50/1.76 thf(decl_542, type, esk277_2: (literal > k) > k > literal). 1.50/1.76 thf(decl_543, type, esk278_2: (literal > a) > a > literal). 1.50/1.76 thf(decl_544, type, esk279_1: (literal > a) > a). 1.50/1.76 thf(decl_545, type, esk280_2: (literal > a) > (a > literal) > a). 1.50/1.76 thf(decl_546, type, esk281_2: (literal > a) > a > literal). 1.50/1.76 thf(decl_547, type, esk282_2: (literal > a) > a > literal). 1.50/1.76 thf(decl_548, type, esk283_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_549, type, esk284_2: (k > $o) > (k > $o) > k). 1.50/1.76 thf(decl_550, type, esk285_2: nat > (k > nat) > k). 1.50/1.76 thf(decl_551, type, esk286_2: nat > (a > nat) > a). 1.50/1.76 thf(decl_552, type, esk287_2: (a > $o) > (a > $o) > a). 1.50/1.76 thf(decl_553, type, esk288_1: real > real). 1.50/1.76 thf(decl_554, type, esk289_1: real > real). 1.50/1.76 thf(decl_555, type, esk290_2: real > real > real). 1.50/1.76 thf(decl_556, type, esk291_1: (real > real > $o) > real). 1.50/1.76 thf(decl_557, type, esk292_1: (real > real > $o) > real). 1.50/1.76 thf(decl_558, type, esk293_1: (real > real > $o) > real). 1.50/1.76 thf(decl_559, type, esk294_1: (real > real > $o) > real). 1.50/1.76 thf(decl_560, type, esk295_1: (real > real > $o) > real). 1.50/1.76 thf(decl_561, type, esk296_4: real > (real > real) > real > real > real). 1.50/1.76 thf(decl_562, type, esk297_4: real > (real > real) > real > real > real). 1.50/1.76 thf(decl_563, type, esk298_4: real > real > (real > real) > real > real). 1.50/1.76 thf(decl_564, type, esk299_4: real > real > (real > real) > real > real). 1.50/1.76 thf(decl_565, type, esk300_4: real > (real > real) > real > real > real). 1.50/1.76 thf(decl_566, type, esk301_4: real > (real > real) > real > real > real). 1.50/1.76 thf(decl_567, type, esk302_4: real > real > (real > real) > real > real). 1.50/1.76 thf(decl_568, type, esk303_4: real > real > (real > real) > real > real). 1.50/1.76 thf(decl_569, type, esk304_0: nat > int). 1.50/1.76 thf(decl_570, type, epred1_1: (int > $o) > int > $o). 1.50/1.76 thf(decl_571, type, epred2_2: (int > $o) > (int > $o) > int > $o). 1.50/1.76 thf(decl_572, type, epred3_2: (int > $o) > (int > $o) > int > $o). 1.50/1.76 thf(decl_573, type, esk305_2: (literal > int) > (int > int) > literal > int). 1.50/1.76 thf(decl_574, type, esk306_2: (literal > int) > (int > nat) > literal > nat). 1.50/1.76 thf(decl_575, type, esk307_2: (literal > nat) > (nat > int) > literal > int). 1.50/1.76 thf(decl_576, type, esk308_2: (literal > int) > (literal > int) > literal > int). 1.50/1.76 thf(decl_577, type, esk309_2: (nat > int) > (nat > int) > nat > int). 1.50/1.76 thf(decl_578, type, esk310_2: (int > int) > (int > int) > int > int). 1.50/1.76 thf(decl_579, type, epred4_3: (literal > int > $o) > set_literal > set_int > literal > $o). 1.50/1.76 thf(decl_580, type, epred5_3: (int > int > $o) > set_int > set_int > int > $o). 1.50/1.76 thf(decl_581, type, epred6_3: (int > nat > $o) > set_nat > set_int > int > $o). 1.50/1.76 thf(decl_582, type, epred7_3: (int > k > $o) > set_k > set_int > int > $o). 1.50/1.76 thf(decl_583, type, epred8_3: (int > a > $o) > set_a > set_int > int > $o). 1.50/1.76 thf(decl_584, type, epred9_3: (nat > int > $o) > set_nat > set_int > nat > $o). 1.50/1.76 thf(decl_585, type, epred10_2: (literal > int) > set_literal > literal > $o). 1.50/1.76 thf(decl_586, type, epred11_2: (int > int) > set_int > int > $o). 1.50/1.76 thf(decl_587, type, epred12_2: (int > nat) > set_int > int > $o). 1.50/1.76 thf(decl_588, type, epred13_2: (nat > int) > set_nat > nat > $o). 1.50/1.76 thf(decl_589, type, epred14_3: (int > int) > (int > int) > set_int > int > $o). 1.50/1.76 thf(decl_590, type, epred15_2: (int > int) > set_int > int > $o). 1.50/1.76 thf(decl_591, type, epred16_3: (int > nat) > (int > nat) > set_int > int > $o). 1.50/1.76 thf(decl_592, type, epred17_2: (int > nat) > set_int > int > $o). 1.50/1.76 thf(decl_593, type, epred18_2: int > int > int > $o). 1.50/1.76 thf(decl_594, type, epred19_2: int > int > int > $o). 1.50/1.76 thf(decl_595, type, epred20_2: int > int > int > $o). 1.50/1.76 thf(decl_596, type, epred21_2: int > int > int > $o). 1.50/1.76 thf(decl_597, type, esk311_1: kyber_qr_a > nat > int). 1.50/1.76 thf(decl_598, type, esk312_2: kyber_qr_a > kyber_qr_a > nat > int). 1.50/1.76 thf(decl_599, type, epred22_3: (int > $o) > set_nat > (nat > int) > int > $o). 1.50/1.76 thf(decl_600, type, epred23_3: (nat > int) > set_nat > (int > $o) > nat > $o). 1.50/1.76 thf(decl_601, type, esk313_2: (nat > nat) > (nat > int) > nat > int). 1.50/1.76 thf(decl_602, type, esk314_2: (int > nat) > (nat > int) > int > int). 1.50/1.76 thf(decl_603, type, esk315_2: (nat > int) > (int > nat) > nat > nat). 1.50/1.76 thf(decl_604, type, esk316_2: (nat > int) > (int > int) > nat > int). 1.50/1.76 thf(decl_605, type, esk317_2: kyber_qr_a > int > nat > int). 1.50/1.76 thf(decl_606, type, esk318_3: kyber_qr_a > int > kyber_qr_a > nat > int). 1.50/1.76 thf(decl_607, type, epred24_1: (nat > $o) > nat > $o). 1.50/1.76 thf(decl_608, type, esk319_2: (nat > nat) > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_609, type, epred25_0: nat > $o). 1.50/1.76 thf(decl_610, type, esk320_2: (nat > nat) > (nat > nat) > nat > nat). 1.50/1.76 thf(decl_611, type, esk321_2: kyber_qr_a > int > nat > int). 1.50/1.76 thf(decl_612, type, esk322_3: kyber_qr_a > int > int > nat > int). 1.50/1.76 thf(decl_613, type, esk323_2: (int > nat) > (int > nat) > int > nat). 1.50/1.76 thf(decl_614, type, epred26_0: int > $o). 1.50/1.76 thf(decl_615, type, esk324_2: (int > nat) > (nat > nat) > int > nat). 1.50/1.76 thf(decl_616, type, esk325_2: (int > int) > (int > nat) > int > nat). 1.50/1.76 thf(decl_617, type, esk326_1: int > int > int). 1.50/1.76 thf(decl_618, type, epred27_3: (int > $o) > set_int > (int > int) > int > $o). 1.50/1.76 thf(decl_619, type, epred28_3: (int > int) > set_int > (int > $o) > int > $o). 1.50/1.76 thf(decl_620, type, epred29_3: (int > $o) > (literal > int) > set_literal > int > $o). 1.50/1.76 thf(decl_621, type, epred30_3: (literal > int) > set_literal > (int > $o) > literal > $o). 1.50/1.76 thf(decl_622, type, epred31_3: (nat > $o) > set_int > (int > nat) > nat > $o). 1.50/1.76 thf(decl_623, type, epred32_3: (int > nat) > set_int > (nat > $o) > int > $o). 1.50/1.76 thf(decl_624, type, epred33_1: set_int > int > $o). 1.50/1.76 thf(decl_625, type, epred34_1: int > int > $o). 1.50/1.76 thf(decl_626, type, esk327_0: int > int). 1.50/1.76 thf(decl_627, type, esk328_2: (int > int) > (int > int) > int > int). 1.50/1.76 thf(decl_628, type, epred35_2: (nat > $o) > (nat > $o) > nat > $o). 1.50/1.76 thf(decl_629, type, epred36_2: (nat > $o) > (nat > $o) > nat > $o). 1.50/1.76 thf(decl_630, type, esk329_2: (literal > nat) > (nat > nat) > literal > nat). 1.50/1.76 thf(decl_631, type, esk330_2: (literal > nat) > (literal > nat) > literal > nat). 1.50/1.76 thf(decl_632, type, epred37_3: (literal > nat > $o) > set_literal > set_nat > literal > $o). 1.50/1.76 thf(decl_633, type, epred38_3: (nat > nat > $o) > set_nat > set_nat > nat > $o). 1.50/1.76 thf(decl_634, type, epred39_2: (literal > nat) > set_literal > literal > $o). 1.50/1.76 thf(decl_635, type, epred40_2: (nat > nat) > set_nat > nat > $o). 1.50/1.76 thf(decl_636, type, epred41_3: (nat > int) > (nat > int) > set_nat > nat > $o). 1.50/1.76 thf(decl_637, type, epred42_2: (nat > int) > set_nat > nat > $o). 1.50/1.76 thf(decl_638, type, epred43_3: (nat > nat) > (nat > nat) > set_nat > nat > $o). 1.50/1.76 thf(decl_639, type, epred44_2: (nat > nat) > set_nat > nat > $o). 1.50/1.76 thf(decl_640, type, epred45_1: nat > nat > $o). 1.50/1.76 thf(decl_641, type, epred46_2: nat > (nat > $o) > nat > $o). 1.50/1.76 thf(decl_642, type, epred47_1: nat > nat > $o). 1.50/1.76 thf(decl_643, type, epred48_1: nat > nat > $o). 1.50/1.76 thf(decl_644, type, epred49_2: nat > (nat > nat) > nat > $o). 1.50/1.76 thf(decl_645, type, esk331_2: (literal > int) > (int > k) > literal > k). 1.50/1.76 thf(decl_646, type, esk332_2: (literal > int) > (int > a) > literal > a). 1.50/1.76 thf(decl_647, type, esk333_2: (literal > k) > (k > int) > literal > int). 1.50/1.76 thf(decl_648, type, epred50_1: (literal > $o) > literal > $o). 1.50/1.76 thf(decl_649, type, epred51_0: literal > $o). 1.50/1.76 thf(decl_650, type, esk334_2: (literal > nat) > (nat > k) > literal > k). 1.50/1.76 thf(decl_651, type, esk335_2: (literal > nat) > (nat > a) > literal > a). 1.50/1.76 thf(decl_652, type, esk336_2: (literal > k) > (k > nat) > literal > nat). 1.50/1.76 thf(decl_653, type, epred52_3: (nat > $o) > (literal > nat) > set_literal > nat > $o). 1.50/1.76 thf(decl_654, type, epred53_3: (literal > nat) > set_literal > (nat > $o) > literal > $o). 1.50/1.76 thf(decl_655, type, epred54_2: (literal > $o) > (literal > $o) > literal > $o). 1.50/1.76 thf(decl_656, type, epred55_2: (literal > $o) > (literal > $o) > literal > $o). 1.50/1.76 thf(decl_657, type, epred56_3: (literal > k > $o) > set_literal > set_k > literal > $o). 1.50/1.76 thf(decl_658, type, epred57_3: (literal > a > $o) > set_literal > set_a > literal > $o). 1.50/1.76 thf(decl_659, type, epred58_2: (literal > k) > set_literal > literal > $o). 1.50/1.76 thf(decl_660, type, epred59_2: (literal > a) > set_literal > literal > $o). 1.50/1.76 thf(decl_661, type, epred60_3: (literal > int) > set_literal > (literal > int) > literal > $o). 1.50/1.76 thf(decl_662, type, epred61_2: (literal > int) > set_literal > literal > $o). 1.50/1.76 thf(decl_663, type, epred62_3: (literal > nat) > set_literal > (literal > nat) > literal > $o). 1.50/1.76 thf(decl_664, type, epred63_2: (literal > nat) > set_literal > literal > $o). 1.50/1.76 thf(decl_665, type, epred64_1: set_literal > literal > $o). 1.50/1.76 thf(decl_666, type, epred65_3: (nat > $o) > set_nat > (nat > nat) > nat > $o). 1.50/1.76 thf(decl_667, type, epred66_3: (nat > nat) > set_nat > (nat > $o) > nat > $o). 1.50/1.76 thf(decl_668, type, epred67_1: set_nat > nat > $o). 1.50/1.76 thf(decl_669, type, epred68_3: (int > $o) > set_k > (k > int) > int > $o). 1.50/1.76 thf(decl_670, type, epred69_3: (k > int) > set_k > (int > $o) > k > $o). 1.50/1.76 thf(decl_671, type, epred70_3: (nat > $o) > set_k > (k > nat) > nat > $o). 1.50/1.76 thf(decl_672, type, epred71_3: (k > nat) > set_k > (nat > $o) > k > $o). 1.50/1.76 thf(decl_673, type, epred72_1: set_k > k > $o). 1.50/1.76 thf(decl_674, type, epred73_3: (k > int) > (k > int) > set_k > k > $o). 1.50/1.76 thf(decl_675, type, epred74_2: (k > int) > set_k > k > $o). 1.50/1.76 thf(decl_676, type, epred75_3: (k > nat) > (k > nat) > set_k > k > $o). 1.50/1.76 thf(decl_677, type, epred76_2: (k > nat) > set_k > k > $o). 1.50/1.76 thf(decl_678, type, epred77_1: (k > $o) > k > $o). 1.50/1.76 thf(decl_679, type, epred78_2: (k > $o) > (k > $o) > k > $o). 1.50/1.76 thf(decl_680, type, epred79_2: (k > $o) > (k > $o) > k > $o). 1.50/1.76 thf(decl_681, type, epred80_3: (nat > $o) > set_a > (a > nat) > nat > $o). 1.50/1.76 thf(decl_682, type, epred81_3: (a > nat) > set_a > (nat > $o) > a > $o). 1.50/1.76 thf(decl_683, type, epred82_1: set_a > a > $o). 1.50/1.76 thf(decl_684, type, epred83_3: (a > int) > (a > int) > set_a > a > $o). 1.50/1.76 thf(decl_685, type, epred84_2: (a > int) > set_a > a > $o). 1.50/1.76 thf(decl_686, type, epred85_3: (a > nat) > (a > nat) > set_a > a > $o). 1.50/1.76 thf(decl_687, type, epred86_2: (a > nat) > set_a > a > $o). 1.50/1.76 thf(decl_688, type, epred87_1: (a > $o) > a > $o). 1.50/1.76 thf(decl_689, type, epred88_2: (a > $o) > (a > $o) > a > $o). 1.50/1.76 thf(decl_690, type, epred89_2: (a > $o) > (a > $o) > a > $o). 1.50/1.76 thf(decl_691, type, esk337_0: nat > nat). 1.50/1.76 thf(decl_692, type, esk338_2: (literal > real) > (literal > real) > literal > real). 1.50/1.76 thf(decl_693, type, epred90_0: k > $o). 1.50/1.76 thf(decl_694, type, esk339_2: (k > int) > (k > int) > k > int). 1.50/1.76 thf(decl_695, type, epred91_0: a > $o). 1.50/1.76 thf(decl_696, type, esk340_2: (nat > real) > (nat > real) > nat > real). 1.50/1.76 thf(decl_697, type, esk341_2: (int > real) > (int > real) > int > real). 1.50/1.76 thf(decl_698, type, esk342_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 1.50/1.76 thf(decl_699, type, esk343_1: kyber_qr_a > nat). 1.50/1.76 thf(decl_700, type, esk344_1: nat > nat). 1.50/1.76 thf(decl_701, type, esk345_1: nat > nat). 1.50/1.76 thf(decl_702, type, esk346_0: nat). 1.50/1.76 thf(decl_703, type, esk347_2: kyber_qr_a > kyber_qr_a > nat). 1.50/1.76 thf(decl_704, type, esk348_2: kyber_qr_a > int > nat). 1.50/1.76 thf(decl_705, type, esk349_2: int > int > int). 1.50/1.76 thf(decl_706, type, esk350_2: int > int > int). 1.50/1.76 thf(decl_707, type, esk351_2: int > int > int). 1.50/1.76 thf(decl_708, type, esk352_2: int > int > int). 1.50/1.76 thf(decl_709, type, esk353_2: nat > (nat > $o) > nat). 1.50/1.76 thf(decl_710, type, esk354_1: set_nat > nat). 1.50/1.76 thf(fact_1_finite__Max, axiom, ![X2:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[X1:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X2) @ X1))) @ top_top_set_nat))), file('/export/starexec/sandbox2/tmp/tmp.BoPVtDZesX/Vampire---4.8_11317', fact_1_finite__Max)). 1.50/1.76 thf(conj_0, conjecture, (finite_finite_int @ (image_nat_int @ (^[X1:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ X1))) @ top_top_set_nat)), file('/export/starexec/sandbox2/tmp/tmp.BoPVtDZesX/Vampire---4.8_11317', conj_0)). 1.50/1.76 thf(c_0_2, plain, ![X2:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[Z0:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X2) @ Z0))) @ top_top_set_nat))), inference(fof_simplification,[status(thm)],[fact_1_finite__Max])). 1.50/1.76 thf(c_0_3, negated_conjecture, ~(finite_finite_int @ (image_nat_int @ (^[Z0:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ Z0))) @ top_top_set_nat)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 1.50/1.76 thf(c_0_4, plain, ![X7719:nat]:(((esk304_0 @ X7719)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ X7719)))), introduced(definition)). 1.50/1.76 thf(c_0_5, plain, ![X5060:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[Z0:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X5060) @ Z0))) @ top_top_set_nat))), inference(variable_rename,[status(thm)],[c_0_2])). 1.50/1.76 thf(c_0_6, plain, ![X7759:nat, X2:kyber_qr_a]:(((esk311_1 @ X2 @ X7759)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X2) @ X7759)))), introduced(definition)). 1.50/1.76 thf(c_0_7, plain, ![X7912:nat]:(((esk304_0 @ X7912)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ X7912)))), inference(variable_rename,[status(thm)],[])). 1.50/1.76 thf(c_0_8, plain, ![X8001:nat, X8002:kyber_qr_a]:(((esk311_1 @ X8002 @ X8001)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X8002) @ X8001)))), inference(variable_rename,[status(thm)],[])). 1.50/1.76 thf(c_0_9, negated_conjecture, ~((((finite_finite_int @ (image_nat_int @ esk304_0 @ top_top_set_nat)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])). 1.50/1.76 thf(c_0_10, plain, ![X2:kyber_qr_a]:((((finite_finite_int @ (image_nat_int @ (esk311_1 @ X2) @ top_top_set_nat)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6])). 1.50/1.76 thf(c_0_11, plain, ![X1:nat]:(((esk304_0 @ X1)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])). 1.50/1.76 thf(c_0_12, plain, ![X2:kyber_qr_a, X1:nat]:(((esk311_1 @ X2 @ X1)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X2) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_8])). 1.50/1.76 thf(c_0_13, negated_conjecture, ~((finite_finite_int @ (image_nat_int @ esk304_0 @ top_top_set_nat))), inference(cn,[status(thm)],[c_0_9])). 1.50/1.76 thf(c_0_14, plain, ![X2:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (esk311_1 @ X2) @ top_top_set_nat))), inference(cn,[status(thm)],[c_0_10])). 1.50/1.76 thf(c_0_15, plain, ![X1:nat]:(((esk311_1 @ y @ X1)=(esk304_0 @ X1))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 1.50/1.76 thf(c_0_16, plain, ![X2:kyber_qr_a]:(((esk311_1 @ X2)!=(esk304_0))), inference(ext_sup,[status(thm)],[c_0_13, c_0_14])). 1.50/1.76 thf(c_0_17, plain, ($false), inference(sr,[status(thm)],[inference(pos_ext,[status(thm)],[c_0_15]), c_0_16]), ['proof']). 1.50/1.76 # SZS output end CNFRefutation 1.50/1.76 # Parsed axioms : 1595 1.50/1.76 # Removed by relevancy pruning/SinE : 563 1.50/1.76 # Initial clauses : 1931 1.50/1.76 # Removed in clause preprocessing : 97 1.50/1.76 # Initial clauses in saturation : 1834 1.50/1.76 # Processed clauses : 2047 1.50/1.76 # ...of these trivial : 127 1.50/1.76 # ...subsumed : 402 1.50/1.76 # ...remaining for further processing : 1518 1.50/1.76 # Other redundant clauses eliminated : 936 1.50/1.76 # Clauses deleted for lack of memory : 0 1.50/1.76 # Backward-subsumed : 9 1.50/1.76 # Backward-rewritten : 29 1.50/1.76 # Generated clauses : 53340 1.50/1.76 # ...of the previous two non-redundant : 50728 1.50/1.76 # ...aggressively subsumed : 0 1.50/1.76 # Contextual simplify-reflections : 1 1.50/1.76 # Paramodulations : 50949 1.50/1.76 # Factorizations : 272 1.50/1.76 # NegExts : 13 1.50/1.76 # Equation resolutions : 961 1.50/1.76 # Propositional unsat checks : 0 1.50/1.76 # Propositional check models : 0 1.50/1.76 # Propositional check unsatisfiable : 0 1.50/1.76 # Propositional clauses : 0 1.50/1.76 # Propositional clauses after purity: 0 1.50/1.76 # Propositional unsat core size : 0 1.50/1.76 # Propositional preprocessing time : 0.000 1.50/1.76 # Propositional encoding time : 0.000 1.50/1.76 # Propositional solver time : 0.000 1.50/1.76 # Success case prop preproc time : 0.000 1.50/1.76 # Success case prop encoding time : 0.000 1.50/1.76 # Success case prop solver time : 0.000 1.50/1.76 # Current number of processed clauses : 1231 1.50/1.76 # Positive orientable unit clauses : 170 1.50/1.76 # Positive unorientable unit clauses: 46 1.50/1.76 # Negative unit clauses : 48 1.50/1.76 # Non-unit-clauses : 967 1.50/1.76 # Current number of unprocessed clauses: 50508 1.50/1.76 # ...number of literals in the above : 167050 1.50/1.76 # Current number of archived formulas : 0 1.50/1.76 # Current number of archived clauses : 38 1.50/1.76 # Clause-clause subsumption calls (NU) : 347544 1.50/1.76 # Rec. Clause-clause subsumption calls : 235475 1.50/1.76 # Non-unit clause-clause subsumptions : 250 1.50/1.76 # Unit Clause-clause subsumption calls : 24382 1.50/1.76 # Rewrite failures with RHS unbound : 0 1.50/1.76 # BW rewrite match attempts : 12547 1.50/1.76 # BW rewrite match successes : 165 1.50/1.76 # Condensation attempts : 2047 1.50/1.76 # Condensation successes : 0 1.50/1.76 # Termbank termtop insertions : 2100820 1.50/1.76 1.50/1.76 # ------------------------------------------------- 1.50/1.76 # User time : 1.017 s 1.50/1.76 # System time : 0.057 s 1.50/1.76 # Total time : 1.074 s 1.50/1.76 # Maximum resident set size: 13552 pages 1.50/1.76 1.50/1.76 # ------------------------------------------------- 1.50/1.76 # User time : 1.074 s 1.50/1.76 # System time : 0.061 s 1.50/1.76 # Total time : 1.134 s 1.50/1.76 # Maximum resident set size: 4820 pages 1.50/1.76 EOF