0.10/0.28 % Problem : SLH0223^1 : TPTP v8.2.0. Released v8.2.0. 0.10/0.29 % Command : run_E %s %d THM 0.29/0.50 % Computer : n002.cluster.edu 0.29/0.50 % Model : x86_64 x86_64 0.29/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.29/0.50 % Memory : 8042.1875MB 0.29/0.50 % OS : Linux 3.10.0-693.el7.x86_64 0.29/0.50 % CPULimit : 30 0.29/0.50 % WCLimit : 30 0.29/0.50 % DateTime : Mon Jul 3 09:16:22 EDT 2023 0.29/0.50 % CPUTime : 0.36/0.62 The problem SPC is TH0_THM_EQU_NAR 0.36/0.62 Running higher-order on 1 cores theorem proving 0.36/0.62 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381 0.36/0.62 # Version: 3.0pre003-ho 2.31/2.49 # Preprocessing class: HMLMSMSMSSLNHSA. 2.31/2.49 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.31/2.49 # Starting sh2lt with 30s (1) cores 2.31/2.49 # sh2lt with pid 25560 completed with status 0 2.31/2.49 # Result found by sh2lt 2.31/2.49 # Preprocessing class: HMLMSMSMSSLNHSA. 2.31/2.49 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.31/2.49 # Starting sh2lt with 30s (1) cores 2.31/2.49 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 2.31/2.49 # ...ProofStateSinE()=1060/1612 2.31/2.49 # Search class: HGHSM-SSLM32-DHSFFSBN 2.31/2.49 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 2.31/2.49 # Starting new_bool_8 with 12s (1) cores 2.31/2.49 # new_bool_8 with pid 25561 completed with status 0 2.31/2.49 # Result found by new_bool_8 2.31/2.49 # Preprocessing class: HMLMSMSMSSLNHSA. 2.31/2.49 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 2.31/2.49 # Starting sh2lt with 30s (1) cores 2.31/2.49 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 2.31/2.49 # ...ProofStateSinE()=1060/1612 2.31/2.49 # Search class: HGHSM-SSLM32-DHSFFSBN 2.31/2.49 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 2.31/2.49 # Starting new_bool_8 with 12s (1) cores 2.31/2.49 # Preprocessing time : 0.028 s 2.31/2.49 # Presaturation interreduction done 2.31/2.49 2.31/2.49 # Proof found! 2.31/2.49 # SZS status Theorem 2.31/2.49 # SZS output start CNFRefutation 2.31/2.49 thf(decl_22, type, abs_ky5074908690697402296poly_a: int > kyber_qr_a > int). 2.31/2.49 thf(decl_23, type, abs_ky7385543178848499077ty_q_a: int > finite_mod_ring_a > int). 2.31/2.49 thf(decl_24, type, kyber_compress: int > nat > int > int). 2.31/2.49 thf(decl_25, type, kyber_2515840456745678993poly_a: int > nat > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_26, type, kyber_decompress: int > nat > int > int). 2.31/2.49 thf(decl_27, type, kyber_3587082902811259984poly_a: int > nat > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_28, type, finite8272632373135393572ring_a: int > finite_mod_ring_a). 2.31/2.49 thf(decl_29, type, finite1095367895020317408ring_a: finite_mod_ring_a > int). 2.31/2.49 thf(decl_30, type, finite8151975738636043502ring_a: set_Fi2982333969990053029ring_a > $o). 2.31/2.49 thf(decl_31, type, finite_finite_int: set_int > $o). 2.31/2.49 thf(decl_32, type, finite2846959064289284080r_qr_a: set_Kyber_qr_a > $o). 2.31/2.49 thf(decl_33, type, finite_finite_nat: set_nat > $o). 2.31/2.49 thf(decl_34, type, finite1345302120164226195on_int: set_option_int > $o). 2.31/2.49 thf(decl_35, type, finite2441466164987656128r_qr_a: set_op4102229510102509919r_qr_a > $o). 2.31/2.49 thf(decl_36, type, finite5523153139673422903on_nat: set_option_nat > $o). 2.31/2.49 thf(decl_37, type, finite1753903093748757987on_int: set_op2148118007522038274on_int > $o). 2.31/2.49 thf(decl_38, type, finite8578450426013246622nt_int: set_op1284930104320590653nt_int > $o). 2.31/2.49 thf(decl_39, type, finite1845161534090197570nt_nat: set_op6098478523108509409nt_nat > $o). 2.31/2.49 thf(decl_40, type, finite6391528851320224834at_int: set_op7289598547010996449at_int > $o). 2.31/2.49 thf(decl_41, type, finite8881611996251951590at_nat: set_op2879774928944139397at_nat > $o). 2.31/2.49 thf(decl_42, type, finite2998713641127702882nt_int: set_Pr958786334691620121nt_int > $o). 2.31/2.49 thf(decl_43, type, finite8880540494237942031r_qr_a: set_Pr6489053563979384902r_qr_a > $o). 2.31/2.49 thf(decl_44, type, finite7176564660636899590nt_nat: set_Pr3448869479623346877nt_nat > $o). 2.31/2.49 thf(decl_45, type, finite8629000113822339122on_int: set_Pr5012731413562436073on_int > $o). 2.31/2.49 thf(decl_46, type, finite1999359929226648326at_int: set_Pr7995236796853374141at_int > $o). 2.31/2.49 thf(decl_47, type, finite2871730843242367155r_qr_a: set_Pr4640976232580644330r_qr_a > $o). 2.31/2.49 thf(decl_48, type, finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o). 2.31/2.49 thf(decl_49, type, finite6501633383820276694on_int: set_Pr8825021268713749389on_int > $o). 2.31/2.49 thf(decl_50, type, finite4662220416055904690nt_int: set_Pr2242183911156638569nt_int > $o). 2.31/2.49 thf(decl_51, type, finite8840071435565101398nt_nat: set_Pr4732267056088365325nt_nat > $o). 2.31/2.49 thf(decl_52, type, finite6197958912794628473et_int: set_set_int > $o). 2.31/2.49 thf(decl_53, type, finite1630926603284507046r_qr_a: set_set_Kyber_qr_a > $o). 2.31/2.49 thf(decl_54, type, finite1152437895449049373et_nat: set_set_nat > $o). 2.31/2.49 thf(decl_55, type, finite8198042325917581769on_int: set_set_option_int > $o). 2.31/2.49 thf(decl_56, type, finite5022738626523666564nt_int: set_se2278223106068697635nt_int > $o). 2.31/2.49 thf(decl_57, type, finite7512821771455393320nt_nat: set_se7091771524856616391nt_nat > $o). 2.31/2.49 thf(decl_58, type, finite2835817051830644776at_int: set_se8282891548759103431at_int > $o). 2.31/2.49 thf(decl_59, type, finite5325900196762371532at_nat: set_se3873067930692246379at_nat > $o). 2.31/2.49 thf(decl_60, type, finite3009209376165618894nt_int: set_Sum_sum_int_int > $o). 2.31/2.49 thf(decl_61, type, finite8195137201965043323r_qr_a: set_Su4304109638823903898r_qr_a > $o). 2.31/2.49 thf(decl_62, type, finite7187060395674815602nt_nat: set_Sum_sum_int_nat > $o). 2.31/2.49 thf(decl_63, type, finite4591545283131437470on_int: set_Su4727507447955034173on_int > $o). 2.31/2.49 thf(decl_64, type, finite2009855664264564338at_int: set_Sum_sum_nat_int > $o). 2.31/2.49 thf(decl_65, type, finite2186327550969468447r_qr_a: set_Su2456032307425163326r_qr_a > $o). 2.31/2.49 thf(decl_66, type, finite6187706683773761046at_nat: set_Sum_sum_nat_nat > $o). 2.31/2.49 thf(decl_67, type, finite2464178553129375042on_int: set_Su8539797303106347489on_int > $o). 2.31/2.49 thf(decl_68, type, finite624765585365003038nt_int: set_Su1956959945549236669nt_int > $o). 2.31/2.49 thf(decl_69, type, finite4802616604874199746nt_nat: set_Su4447043090480963425nt_nat > $o). 2.31/2.49 thf(decl_70, type, comp_F1114060161934960335_a_int: (finite_mod_ring_a > finite_mod_ring_a) > (int > finite_mod_ring_a) > int > finite_mod_ring_a). 2.31/2.49 thf(decl_71, type, comp_F3257230431283712252r_qr_a: (finite_mod_ring_a > finite_mod_ring_a) > (kyber_qr_a > finite_mod_ring_a) > kyber_qr_a > finite_mod_ring_a). 2.31/2.49 thf(decl_72, type, comp_F1116550632444010611_a_nat: (finite_mod_ring_a > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_73, type, comp_F5719199965815211644nt_int: (finite_mod_ring_a > int) > (int > finite_mod_ring_a) > int > int). 2.31/2.49 thf(decl_74, type, comp_F5721690436324261920nt_nat: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat > int). 2.31/2.49 thf(decl_75, type, comp_F4722336724423207364at_nat: (finite_mod_ring_a > nat) > (nat > finite_mod_ring_a) > nat > nat). 2.31/2.49 thf(decl_76, type, comp_i8865777803886742726_a_nat: (int > finite_mod_ring_a) > (nat > int) > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_77, type, comp_i1216107289310836680ring_a: (int > int) > (finite_mod_ring_a > int) > finite_mod_ring_a > int). 2.31/2.49 thf(decl_78, type, comp_int_int_int: (int > int) > (int > int) > int > int). 2.31/2.49 thf(decl_79, type, comp_i1524123078767658390r_qr_a: (int > int) > (kyber_qr_a > int) > kyber_qr_a > int). 2.31/2.49 thf(decl_80, type, comp_int_int_nat: (int > int) > (nat > int) > nat > int). 2.31/2.49 thf(decl_81, type, comp_int_nat_int: (int > nat) > (int > int) > int > nat). 2.31/2.49 thf(decl_82, type, comp_int_nat_nat: (int > nat) > (nat > int) > nat > nat). 2.31/2.49 thf(decl_83, type, comp_K1995631632546907120r_qr_a: (kyber_qr_a > kyber_qr_a) > (kyber_qr_a > kyber_qr_a) > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_84, type, comp_n736998277166915198_a_int: (nat > finite_mod_ring_a) > (int > nat) > int > finite_mod_ring_a). 2.31/2.49 thf(decl_85, type, comp_n739488747675965474_a_nat: (nat > finite_mod_ring_a) > (nat > nat) > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_86, type, comp_n2313190269954835236ring_a: (nat > int) > (finite_mod_ring_a > nat) > finite_mod_ring_a > int). 2.31/2.49 thf(decl_87, type, comp_nat_int_int: (nat > int) > (int > nat) > int > int). 2.31/2.49 thf(decl_88, type, comp_nat_int_nat: (nat > int) > (nat > nat) > nat > int). 2.31/2.49 thf(decl_89, type, comp_nat_nat_int: (nat > nat) > (int > nat) > int > nat). 2.31/2.49 thf(decl_90, type, comp_n7963536810838836446r_qr_a: (nat > nat) > (kyber_qr_a > nat) > kyber_qr_a > nat). 2.31/2.49 thf(decl_91, type, comp_nat_nat_nat: (nat > nat) > (nat > nat) > nat > nat). 2.31/2.49 thf(decl_92, type, abs_abs_int: int > int). 2.31/2.49 thf(decl_93, type, minus_816173647607399633ng_a_o: (finite_mod_ring_a > $o) > (finite_mod_ring_a > $o) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_94, type, minus_minus_int_o: (int > $o) > (int > $o) > int > $o). 2.31/2.49 thf(decl_95, type, minus_minus_nat_o: (nat > $o) > (nat > $o) > nat > $o). 2.31/2.49 thf(decl_96, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_97, type, minus_minus_int: int > int > int). 2.31/2.49 thf(decl_98, type, minus_3375643675566563378r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_99, type, minus_minus_nat: nat > nat > nat). 2.31/2.49 thf(decl_100, type, minus_5354101470050066234ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_101, type, minus_minus_poly_int: poly_int > poly_int > poly_int). 2.31/2.49 thf(decl_102, type, minus_6158295172277107514r_qr_a: poly_Kyber_qr_a > poly_Kyber_qr_a > poly_Kyber_qr_a). 2.31/2.49 thf(decl_103, type, minus_minus_poly_nat: poly_nat > poly_nat > poly_nat). 2.31/2.49 thf(decl_104, type, minus_8398332843867831112ring_a: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a). 2.31/2.49 thf(decl_105, type, minus_821990653126410005ly_int: poly_poly_int > poly_poly_int > poly_poly_int). 2.31/2.49 thf(decl_106, type, minus_7977882447546000450r_qr_a: poly_poly_Kyber_qr_a > poly_poly_Kyber_qr_a > poly_poly_Kyber_qr_a). 2.31/2.49 thf(decl_107, type, minus_3312073798058136761ly_nat: poly_poly_nat > poly_poly_nat > poly_poly_nat). 2.31/2.49 thf(decl_108, type, minus_823531971556419340ring_a: set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_109, type, minus_minus_set_int: set_int > set_int > set_int). 2.31/2.49 thf(decl_110, type, minus_2537638866097385960r_qr_a: set_Kyber_qr_a > set_Kyber_qr_a > set_Kyber_qr_a). 2.31/2.49 thf(decl_111, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 2.31/2.49 thf(decl_112, type, minus_3509279136261310475on_int: set_option_int > set_option_int > set_option_int). 2.31/2.49 thf(decl_113, type, minus_7546863616404068122ring_a: set_po5729067318325380787ring_a > set_po5729067318325380787ring_a > set_po5729067318325380787ring_a). 2.31/2.49 thf(decl_114, type, minus_3062183174993400003ly_int: set_poly_int > set_poly_int > set_poly_int). 2.31/2.49 thf(decl_115, type, minus_8701300939976361712r_qr_a: set_poly_Kyber_qr_a > set_poly_Kyber_qr_a > set_poly_Kyber_qr_a). 2.31/2.49 thf(decl_116, type, minus_2916252991581705926nt_int: set_Sum_sum_int_int > set_Sum_sum_int_int > set_Sum_sum_int_int). 2.31/2.49 thf(decl_117, type, minus_5406336136513432682nt_nat: set_Sum_sum_int_nat > set_Sum_sum_int_nat > set_Sum_sum_int_nat). 2.31/2.49 thf(decl_118, type, minus_729331416888684138at_int: set_Sum_sum_nat_int > set_Sum_sum_nat_int > set_Sum_sum_nat_int). 2.31/2.49 thf(decl_119, type, minus_3219414561820410894at_nat: set_Sum_sum_nat_nat > set_Sum_sum_nat_nat > set_Sum_sum_nat_nat). 2.31/2.49 thf(decl_120, type, one_one_int: int). 2.31/2.49 thf(decl_121, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_122, type, plus_plus_int: int > int > int). 2.31/2.49 thf(decl_123, type, plus_plus_Kyber_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_124, type, plus_plus_nat: nat > nat > nat). 2.31/2.49 thf(decl_125, type, plus_p7290290253215468682ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_126, type, plus_plus_poly_int: poly_int > poly_int > poly_int). 2.31/2.49 thf(decl_127, type, plus_p7633285101440365034r_qr_a: poly_Kyber_qr_a > poly_Kyber_qr_a > poly_Kyber_qr_a). 2.31/2.49 thf(decl_128, type, plus_plus_poly_nat: poly_nat > poly_nat > poly_nat). 2.31/2.49 thf(decl_129, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_130, type, times_times_int: int > int > int). 2.31/2.49 thf(decl_131, type, times_2095635435063429214r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_132, type, times_times_nat: nat > nat > nat). 2.31/2.49 thf(decl_133, type, uminus7201864627234105409ng_a_o: (finite_mod_ring_a > $o) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_134, type, uminus_uminus_int_o: (int > $o) > int > $o). 2.31/2.49 thf(decl_135, type, uminus_uminus_nat_o: (nat > $o) > nat > $o). 2.31/2.49 thf(decl_136, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_137, type, uminus_uminus_int: int > int). 2.31/2.49 thf(decl_138, type, uminus3675112017196868514r_qr_a: kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_139, type, uminus6490753114102738890ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_140, type, uminus6443632714710767741ly_int: poly_int > poly_int). 2.31/2.49 thf(decl_141, type, uminus3320614115049037482r_qr_a: poly_Kyber_qr_a > poly_Kyber_qr_a). 2.31/2.49 thf(decl_142, type, uminus8760797485591484316ring_a: set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_143, type, uminus1532241313380277803et_int: set_int > set_int). 2.31/2.49 thf(decl_144, type, uminus7002752034106078552r_qr_a: set_Kyber_qr_a > set_Kyber_qr_a). 2.31/2.49 thf(decl_145, type, uminus5710092332889474511et_nat: set_nat > set_nat). 2.31/2.49 thf(decl_146, type, uminus8756650369433852795on_int: set_option_int > set_option_int). 2.31/2.49 thf(decl_147, type, uminus5288747270251669418ring_a: set_po5729067318325380787ring_a > set_po5729067318325380787ring_a). 2.31/2.49 thf(decl_148, type, uminus4660237278427245619ly_int: set_poly_int > set_poly_int). 2.31/2.49 thf(decl_149, type, uminus7976996545220012640r_qr_a: set_poly_Kyber_qr_a > set_poly_Kyber_qr_a). 2.31/2.49 thf(decl_150, type, uminus4387905268847634998nt_int: set_Sum_sum_int_int > set_Sum_sum_int_int). 2.31/2.49 thf(decl_151, type, uminus6877988413779361754nt_nat: set_Sum_sum_int_nat > set_Sum_sum_int_nat). 2.31/2.49 thf(decl_152, type, uminus2200983694154613210at_int: set_Sum_sum_nat_int > set_Sum_sum_nat_int). 2.31/2.49 thf(decl_153, type, uminus4691066839086339966at_nat: set_Sum_sum_nat_nat > set_Sum_sum_nat_nat). 2.31/2.49 thf(decl_154, type, zero_z7902377541816115708ring_a: finite_mod_ring_a). 2.31/2.49 thf(decl_155, type, zero_zero_int: int). 2.31/2.49 thf(decl_156, type, zero_zero_Kyber_qr_a: kyber_qr_a). 2.31/2.49 thf(decl_157, type, zero_zero_nat: nat). 2.31/2.49 thf(decl_158, type, zero_z1830546546923837194ring_a: poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_159, type, zero_zero_poly_int: poly_int). 2.31/2.49 thf(decl_160, type, zero_z2078993987043428202r_qr_a: poly_Kyber_qr_a). 2.31/2.49 thf(decl_161, type, zero_zero_poly_nat: poly_nat). 2.31/2.49 thf(decl_162, type, if_int: $o > int > int > int). 2.31/2.49 thf(decl_163, type, if_nat: $o > nat > nat > nat). 2.31/2.49 thf(decl_164, type, kyber_of_qr_a: kyber_qr_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_165, type, kyber_to_module_a: int > kyber_qr_a). 2.31/2.49 thf(decl_166, type, lattic8263393255366662781ax_int: set_int > int). 2.31/2.49 thf(decl_167, type, lattic8265883725875713057ax_nat: set_nat > nat). 2.31/2.49 thf(decl_168, type, mod_Pl7661688178770475124_minus: int > int > int). 2.31/2.49 thf(decl_169, type, ord_less_int: int > int > $o). 2.31/2.49 thf(decl_170, type, ord_less_nat: nat > nat > $o). 2.31/2.49 thf(decl_171, type, ord_less_eq_int: int > int > $o). 2.31/2.49 thf(decl_172, type, ord_less_eq_nat: nat > nat > $o). 2.31/2.49 thf(decl_173, type, ord_less_eq_poly_int: poly_int > poly_int > $o). 2.31/2.49 thf(decl_174, type, ord_less_eq_set_int: set_int > set_int > $o). 2.31/2.49 thf(decl_175, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 2.31/2.49 thf(decl_176, type, ord_le4447272319416870674on_int: set_option_int > set_option_int > $o). 2.31/2.49 thf(decl_177, type, ord_le5664813072723204557nt_int: set_Sum_sum_int_int > set_Sum_sum_int_int > $o). 2.31/2.49 thf(decl_178, type, ord_le8154896217654931313nt_nat: set_Sum_sum_int_nat > set_Sum_sum_int_nat > $o). 2.31/2.49 thf(decl_179, type, ord_le3477891498030182769at_int: set_Sum_sum_nat_int > set_Sum_sum_nat_int > $o). 2.31/2.49 thf(decl_180, type, ord_le5967974642961909525at_nat: set_Sum_sum_nat_nat > set_Sum_sum_nat_nat > $o). 2.31/2.49 thf(decl_181, type, top_top_int_o: int > $o). 2.31/2.49 thf(decl_182, type, top_top_Kyber_qr_a_o: kyber_qr_a > $o). 2.31/2.49 thf(decl_183, type, top_top_nat_o: nat > $o). 2.31/2.49 thf(decl_184, type, top_to6507827550422511272_int_o: sum_sum_int_int > $o). 2.31/2.49 thf(decl_185, type, top_to8752972518092957188_nat_o: sum_sum_int_nat > $o). 2.31/2.49 thf(decl_186, type, top_to5821251517381960708_int_o: sum_sum_nat_int > $o). 2.31/2.49 thf(decl_187, type, top_to8066396485052406624_nat_o: sum_sum_nat_nat > $o). 2.31/2.49 thf(decl_188, type, top_to2069866484006881781ring_a: set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_189, type, top_top_set_int: set_int). 2.31/2.49 thf(decl_190, type, top_to1157421826461019711r_qr_a: set_Kyber_qr_a). 2.31/2.49 thf(decl_191, type, top_top_set_nat: set_nat). 2.31/2.49 thf(decl_192, type, top_to6430115241214627170on_int: set_option_int). 2.31/2.49 thf(decl_193, type, top_to5056090744983742479r_qr_a: set_op4102229510102509919r_qr_a). 2.31/2.49 thf(decl_194, type, top_to8920198386146353926on_nat: set_option_nat). 2.31/2.49 thf(decl_195, type, top_to7357222151492493490on_int: set_op2148118007522038274on_int). 2.31/2.49 thf(decl_196, type, top_to6151797648225014253nt_int: set_op1284930104320590653nt_int). 2.31/2.49 thf(decl_197, type, top_to1741974030158157201nt_nat: set_op6098478523108509409nt_nat). 2.31/2.49 thf(decl_198, type, top_to2933094054060644241at_int: set_op7289598547010996449at_int). 2.31/2.49 thf(decl_199, type, top_to7746642472848562997at_nat: set_op2879774928944139397at_nat). 2.31/2.49 thf(decl_200, type, top_to1912042281652372483ring_a: set_po5729067318325380787ring_a). 2.31/2.49 thf(decl_201, type, top_top_set_poly_int: set_poly_int). 2.31/2.49 thf(decl_202, type, top_to7137291172392958279r_qr_a: set_poly_Kyber_qr_a). 2.31/2.49 thf(decl_203, type, top_to4366644338036079209nt_int: set_Pr958786334691620121nt_int). 2.31/2.49 thf(decl_204, type, top_to1110010422198527382r_qr_a: set_Pr6489053563979384902r_qr_a). 2.31/2.49 thf(decl_205, type, top_to6856727482967805965nt_nat: set_Pr3448869479623346877nt_nat). 2.31/2.49 thf(decl_206, type, top_to3755738418309232441on_int: set_Pr5012731413562436073on_int). 2.31/2.49 thf(decl_207, type, top_to2179722763343057421at_int: set_Pr7995236796853374141at_int). 2.31/2.49 thf(decl_208, type, top_to8485305127654562618r_qr_a: set_Pr4640976232580644330r_qr_a). 2.31/2.49 thf(decl_209, type, top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat). 2.31/2.49 thf(decl_210, type, top_to7568028273460545757on_int: set_Pr8825021268713749389on_int). 2.31/2.49 thf(decl_211, type, top_to985190915903434937nt_int: set_Pr2242183911156638569nt_int). 2.31/2.49 thf(decl_212, type, top_to3475274060835161693nt_nat: set_Pr4732267056088365325nt_nat). 2.31/2.49 thf(decl_213, type, top_top_set_set_int: set_set_int). 2.31/2.49 thf(decl_214, type, top_to5561956780672253173r_qr_a: set_set_Kyber_qr_a). 2.31/2.49 thf(decl_215, type, top_top_set_set_nat: set_set_nat). 2.31/2.49 thf(decl_216, type, top_to8102644483197751192on_int: set_set_option_int). 2.31/2.49 thf(decl_217, type, top_to5356898926850599123nt_int: set_se2278223106068697635nt_int). 2.31/2.49 thf(decl_218, type, top_to947075308783742071nt_nat: set_se7091771524856616391nt_nat). 2.31/2.49 thf(decl_219, type, top_to2138195332686229111at_int: set_se8282891548759103431at_int). 2.31/2.49 thf(decl_220, type, top_to6951743751474147867at_nat: set_se3873067930692246379at_nat). 2.31/2.49 thf(decl_221, type, top_to6358659424274202653nt_int: set_Sum_sum_int_int). 2.31/2.49 thf(decl_222, type, top_to8514374177987805514r_qr_a: set_Su4304109638823903898r_qr_a). 2.31/2.49 thf(decl_223, type, top_to8848742569205929409nt_nat: set_Sum_sum_int_nat). 2.31/2.49 thf(decl_224, type, top_to371002955004681965on_int: set_Su4727507447955034173on_int). 2.31/2.49 thf(decl_225, type, top_to4171737849581180865at_int: set_Sum_sum_nat_int). 2.31/2.49 thf(decl_226, type, top_to6666296846589064942r_qr_a: set_Su2456032307425163326r_qr_a). 2.31/2.49 thf(decl_227, type, top_to6661820994512907621at_nat: set_Sum_sum_nat_nat). 2.31/2.49 thf(decl_228, type, top_to4183292810155995281on_int: set_Su8539797303106347489on_int). 2.31/2.49 thf(decl_229, type, top_to6823827489453660269nt_int: set_Su1956959945549236669nt_int). 2.31/2.49 thf(decl_230, type, top_to90538597530611217nt_nat: set_Su4447043090480963425nt_nat). 2.31/2.49 thf(decl_231, type, coeff_1607515655354303335ring_a: poly_F3299452240248304339ring_a > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_232, type, coeff_int: poly_int > nat > int). 2.31/2.49 thf(decl_233, type, coeff_Kyber_qr_a: poly_Kyber_qr_a > nat > kyber_qr_a). 2.31/2.49 thf(decl_234, type, coeff_nat: poly_nat > nat > nat). 2.31/2.49 thf(decl_235, type, coeff_7919988552178873973ring_a: poly_p2573953413498894561ring_a > nat > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_236, type, coeff_poly_int: poly_poly_int > nat > poly_int). 2.31/2.49 thf(decl_237, type, coeff_2777532627874423231r_qr_a: poly_poly_Kyber_qr_a > nat > poly_Kyber_qr_a). 2.31/2.49 thf(decl_238, type, coeff_poly_nat: poly_poly_nat > nat > poly_nat). 2.31/2.49 thf(decl_239, type, modulo_modulo_int: int > int > int). 2.31/2.49 thf(decl_240, type, modulo_modulo_nat: nat > nat > nat). 2.31/2.49 thf(decl_241, type, collec4943914941012508720ring_a: (finite_mod_ring_a > $o) > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_242, type, collect_int: (int > $o) > set_int). 2.31/2.49 thf(decl_243, type, collect_Kyber_qr_a: (kyber_qr_a > $o) > set_Kyber_qr_a). 2.31/2.49 thf(decl_244, type, collect_nat: (nat > $o) > set_nat). 2.31/2.49 thf(decl_245, type, collect_option_int: (option_int > $o) > set_option_int). 2.31/2.49 thf(decl_246, type, collect_set_int: (set_int > $o) > set_set_int). 2.31/2.49 thf(decl_247, type, collect_set_nat: (set_nat > $o) > set_set_nat). 2.31/2.49 thf(decl_248, type, collec3763933483554511623on_int: (set_option_int > $o) > set_set_option_int). 2.31/2.49 thf(decl_249, type, collec3198608204831881666nt_int: (set_Sum_sum_int_int > $o) > set_se2278223106068697635nt_int). 2.31/2.49 thf(decl_250, type, collec5688691349763608422nt_nat: (set_Sum_sum_int_nat > $o) > set_se7091771524856616391nt_nat). 2.31/2.49 thf(decl_251, type, collec1011686630138859878at_int: (set_Sum_sum_nat_int > $o) > set_se8282891548759103431at_int). 2.31/2.49 thf(decl_252, type, collec3501769775070586634at_nat: (set_Sum_sum_nat_nat > $o) > set_se3873067930692246379at_nat). 2.31/2.49 thf(decl_253, type, collec7798472570657324556nt_int: (sum_sum_int_int > $o) > set_Sum_sum_int_int). 2.31/2.49 thf(decl_254, type, collec2752951553311745456nt_nat: (sum_sum_int_nat > $o) > set_Sum_sum_int_nat). 2.31/2.49 thf(decl_255, type, collec6799118858756270000at_int: (sum_sum_nat_int > $o) > set_Sum_sum_nat_int). 2.31/2.49 thf(decl_256, type, collec1753597841410690900at_nat: (sum_sum_nat_nat > $o) > set_Sum_sum_nat_nat). 2.31/2.49 thf(decl_257, type, image_3815122860822722885ring_a: (finite_mod_ring_a > finite_mod_ring_a) > set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_258, type, image_4238506139956901036_a_int: (finite_mod_ring_a > int) > set_Fi2982333969990053029ring_a > set_int). 2.31/2.49 thf(decl_259, type, image_4240996610465951312_a_nat: (finite_mod_ring_a > nat) > set_Fi2982333969990053029ring_a > set_nat). 2.31/2.49 thf(decl_260, type, image_5814698132744821074ring_a: (int > finite_mod_ring_a) > set_int > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_261, type, image_int_int: (int > int) > set_int > set_int). 2.31/2.49 thf(decl_262, type, image_int_Kyber_qr_a: (int > kyber_qr_a) > set_int > set_Kyber_qr_a). 2.31/2.49 thf(decl_263, type, image_int_nat: (int > nat) > set_int > set_nat). 2.31/2.49 thf(decl_264, type, image_int_option_int: (int > option_int) > set_int > set_option_int). 2.31/2.49 thf(decl_265, type, image_6942651302503769829ring_a: (kyber_qr_a > finite_mod_ring_a) > set_Kyber_qr_a > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_266, type, image_Kyber_qr_a_int: (kyber_qr_a > int) > set_Kyber_qr_a > set_int). 2.31/2.49 thf(decl_267, type, image_8573138150509668025r_qr_a: (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > set_Kyber_qr_a). 2.31/2.49 thf(decl_268, type, image_Kyber_qr_a_nat: (kyber_qr_a > nat) > set_Kyber_qr_a > set_nat). 2.31/2.49 thf(decl_269, type, image_1980459031860794542ring_a: (nat > finite_mod_ring_a) > set_nat > set_Fi2982333969990053029ring_a). 2.31/2.49 thf(decl_270, type, image_nat_int: (nat > int) > set_nat > set_int). 2.31/2.49 thf(decl_271, type, image_nat_Kyber_qr_a: (nat > kyber_qr_a) > set_nat > set_Kyber_qr_a). 2.31/2.49 thf(decl_272, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 2.31/2.49 thf(decl_273, type, image_nat_option_int: (nat > option_int) > set_nat > set_option_int). 2.31/2.49 thf(decl_274, type, image_678696785212003926at_nat: (nat > sum_sum_nat_nat) > set_nat > set_Sum_sum_nat_nat). 2.31/2.49 thf(decl_275, type, image_option_int_int: (option_int > int) > set_option_int > set_int). 2.31/2.49 thf(decl_276, type, image_option_int_nat: (option_int > nat) > set_option_int > set_nat). 2.31/2.49 thf(decl_277, type, image_1595381290764371653ring_a: (poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a) > set_po5729067318325380787ring_a > set_po5729067318325380787ring_a). 2.31/2.49 thf(decl_278, type, image_8923422147430331503ly_int: (poly_int > poly_int) > set_poly_int > set_poly_int). 2.31/2.49 thf(decl_279, type, image_1479434429640847561r_qr_a: (poly_Kyber_qr_a > poly_Kyber_qr_a) > set_poly_Kyber_qr_a > set_poly_Kyber_qr_a). 2.31/2.49 thf(decl_280, type, image_3876455942895448298nt_int: (sum_sum_int_int > int) > set_Sum_sum_int_int > set_int). 2.31/2.49 thf(decl_281, type, image_3878946413404498574nt_nat: (sum_sum_int_int > nat) > set_Sum_sum_int_int > set_nat). 2.31/2.49 thf(decl_282, type, image_1689534368202426510at_int: (sum_sum_int_nat > int) > set_Sum_sum_int_nat > set_int). 2.31/2.49 thf(decl_283, type, image_1692024838711476786at_nat: (sum_sum_int_nat > nat) > set_Sum_sum_int_nat > set_nat). 2.31/2.49 thf(decl_284, type, image_3504802382658603662nt_int: (sum_sum_nat_int > int) > set_Sum_sum_nat_int > set_int). 2.31/2.49 thf(decl_285, type, image_3507292853167653938nt_nat: (sum_sum_nat_int > nat) > set_Sum_sum_nat_int > set_nat). 2.31/2.49 thf(decl_286, type, image_1317880807965581874at_int: (sum_sum_nat_nat > int) > set_Sum_sum_nat_nat > set_int). 2.31/2.49 thf(decl_287, type, image_1320371278474632150at_nat: (sum_sum_nat_nat > nat) > set_Sum_sum_nat_nat > set_nat). 2.31/2.49 thf(decl_288, type, member3034048621153491438ring_a: finite_mod_ring_a > set_Fi2982333969990053029ring_a > $o). 2.31/2.49 thf(decl_289, type, member_int: int > set_int > $o). 2.31/2.49 thf(decl_290, type, member_Kyber_qr_a: kyber_qr_a > set_Kyber_qr_a > $o). 2.31/2.49 thf(decl_291, type, member_nat: nat > set_nat > $o). 2.31/2.49 thf(decl_292, type, member_option_int: option_int > set_option_int > $o). 2.31/2.49 thf(decl_293, type, member5404687721739489230nt_int: sum_sum_int_int > set_Sum_sum_int_int > $o). 2.31/2.49 thf(decl_294, type, member359166704393910130nt_nat: sum_sum_int_nat > set_Sum_sum_int_nat > $o). 2.31/2.49 thf(decl_295, type, member4405334009838434674at_int: sum_sum_nat_int > set_Sum_sum_nat_int > $o). 2.31/2.49 thf(decl_296, type, member8583185029347631382at_nat: sum_sum_nat_nat > set_Sum_sum_nat_nat > $o). 2.31/2.49 thf(decl_297, type, d: nat). 2.31/2.49 thf(decl_298, type, n: int). 2.31/2.49 thf(decl_299, type, n2: nat). 2.31/2.49 thf(decl_300, type, q: int). 2.31/2.49 thf(decl_301, type, x: kyber_qr_a). 2.31/2.49 thf(decl_302, type, epred1_3: (int > $o) > int > int > $o). 2.31/2.49 thf(decl_303, type, esk1_1: set_int > int). 2.31/2.49 thf(decl_304, type, esk2_3: set_int > set_int > (int > int > $o) > int). 2.31/2.49 thf(decl_305, type, esk3_3: set_int > set_int > (int > int > $o) > int). 2.31/2.49 thf(decl_306, type, esk4_3: set_int > set_nat > (int > nat > $o) > int). 2.31/2.49 thf(decl_307, type, esk5_3: set_int > set_nat > (int > nat > $o) > nat). 2.31/2.49 thf(decl_308, type, esk6_3: set_nat > set_int > (nat > int > $o) > nat). 2.31/2.49 thf(decl_309, type, esk7_3: set_nat > set_int > (nat > int > $o) > int). 2.31/2.49 thf(decl_310, type, esk8_1: (int > $o) > int). 2.31/2.49 thf(decl_311, type, esk9_2: set_int > (int > int) > int). 2.31/2.49 thf(decl_312, type, esk10_2: set_int > (int > nat) > int). 2.31/2.49 thf(decl_313, type, esk11_2: set_nat > (nat > int) > nat). 2.31/2.49 thf(decl_314, type, esk12_4: (nat > int) > (nat > int) > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_315, type, esk13_3: (nat > int) > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_316, type, esk14_4: (nat > int) > (nat > int) > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_317, type, esk15_4: (nat > int) > (nat > int) > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_318, type, esk16_2: (nat > int) > (int > int) > int). 2.31/2.49 thf(decl_319, type, esk17_4: (nat > int) > set_nat > (int > int) > (int > int) > nat). 2.31/2.49 thf(decl_320, type, esk18_2: (nat > int) > int > nat). 2.31/2.49 thf(decl_321, type, esk19_1: (nat > int) > int). 2.31/2.49 thf(decl_322, type, esk20_2: (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_323, type, esk21_2: (nat > int) > int > nat). 2.31/2.49 thf(decl_324, type, esk22_2: (nat > int) > int > nat). 2.31/2.49 thf(decl_325, type, esk23_4: set_nat > set_nat > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_326, type, esk24_4: set_nat > set_nat > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_327, type, esk25_3: int > (nat > int) > set_nat > nat). 2.31/2.49 thf(decl_328, type, esk26_3: (nat > int) > set_nat > (int > $o) > nat). 2.31/2.49 thf(decl_329, type, esk27_4: set_nat > set_nat > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_330, type, esk28_3: (nat > int) > set_nat > (int > $o) > int). 2.31/2.49 thf(decl_331, type, esk29_3: int > (nat > int) > set_nat > nat). 2.31/2.49 thf(decl_332, type, esk30_2: int > (nat > int) > nat). 2.31/2.49 thf(decl_333, type, esk31_4: (nat > nat) > (nat > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_334, type, esk32_4: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > finite_mod_ring_a). 2.31/2.49 thf(decl_335, type, esk33_3: (nat > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_336, type, esk34_3: (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > finite_mod_ring_a). 2.31/2.49 thf(decl_337, type, esk35_4: (nat > nat) > (nat > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_338, type, esk36_4: (nat > nat) > (nat > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_339, type, esk37_4: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > finite_mod_ring_a). 2.31/2.49 thf(decl_340, type, esk38_4: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > finite_mod_ring_a). 2.31/2.49 thf(decl_341, type, esk39_4: (nat > nat) > set_nat > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_342, type, esk40_4: (int > nat) > set_int > (nat > int) > (nat > int) > int). 2.31/2.49 thf(decl_343, type, esk41_2: (nat > nat) > nat > nat). 2.31/2.49 thf(decl_344, type, esk42_1: (nat > nat) > nat). 2.31/2.49 thf(decl_345, type, esk43_2: (int > nat) > nat > int). 2.31/2.49 thf(decl_346, type, esk44_1: (int > nat) > nat). 2.31/2.49 thf(decl_347, type, esk45_2: (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_348, type, esk46_2: (int > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_349, type, esk47_2: (nat > nat) > nat > nat). 2.31/2.49 thf(decl_350, type, esk48_2: (int > nat) > nat > int). 2.31/2.49 thf(decl_351, type, esk49_2: (nat > nat) > nat > nat). 2.31/2.49 thf(decl_352, type, esk50_2: (int > nat) > nat > int). 2.31/2.49 thf(decl_353, type, esk51_1: set_nat > nat). 2.31/2.49 thf(decl_354, type, esk52_1: set_nat > nat). 2.31/2.49 thf(decl_355, type, esk53_0: nat). 2.31/2.49 thf(decl_356, type, esk54_2: nat > (nat > nat) > nat). 2.31/2.49 thf(decl_357, type, esk55_2: finite_mod_ring_a > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_358, type, esk56_4: (nat > finite_mod_ring_a) > set_nat > (finite_mod_ring_a > int) > (finite_mod_ring_a > int) > nat). 2.31/2.49 thf(decl_359, type, esk57_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 2.31/2.49 thf(decl_360, type, esk58_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 2.31/2.49 thf(decl_361, type, esk59_2: (int > int) > int > int). 2.31/2.49 thf(decl_362, type, esk60_1: (int > int) > int). 2.31/2.49 thf(decl_363, type, esk61_2: (int > int) > (int > int) > int). 2.31/2.49 thf(decl_364, type, esk62_2: (int > int) > int > int). 2.31/2.49 thf(decl_365, type, esk63_2: (int > int) > int > int). 2.31/2.49 thf(decl_366, type, esk64_4: set_int > set_int > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_367, type, esk65_4: set_int > set_int > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_368, type, esk66_3: int > (int > int) > set_int > int). 2.31/2.49 thf(decl_369, type, esk67_3: (int > int) > set_int > (int > $o) > int). 2.31/2.49 thf(decl_370, type, esk68_4: set_int > set_int > (int > int) > (int > int) > int). 2.31/2.49 thf(decl_371, type, esk69_3: (int > int) > set_int > (int > $o) > int). 2.31/2.49 thf(decl_372, type, esk70_3: int > (int > int) > set_int > int). 2.31/2.49 thf(decl_373, type, esk71_2: int > (int > int) > int). 2.31/2.49 thf(decl_374, type, esk72_2: int > (int > int) > int). 2.31/2.49 thf(decl_375, type, esk73_2: (int > int) > (int > int) > int). 2.31/2.49 thf(decl_376, type, esk74_3: set_nat > set_nat > (nat > nat > $o) > nat). 2.31/2.49 thf(decl_377, type, esk75_3: set_nat > set_nat > (nat > nat > $o) > nat). 2.31/2.49 thf(decl_378, type, esk76_1: (nat > $o) > nat). 2.31/2.49 thf(decl_379, type, esk77_2: set_nat > (nat > nat) > nat). 2.31/2.49 thf(decl_380, type, esk78_2: set_nat > nat > nat). 2.31/2.49 thf(decl_381, type, esk79_1: set_nat > nat). 2.31/2.49 thf(decl_382, type, esk80_2: set_nat > nat > nat). 2.31/2.49 thf(decl_383, type, esk81_1: set_nat > nat). 2.31/2.49 thf(decl_384, type, esk82_2: nat > set_nat > nat). 2.31/2.49 thf(decl_385, type, esk83_1: (nat > nat) > nat). 2.31/2.49 thf(decl_386, type, esk84_2: set_nat > nat > nat). 2.31/2.49 thf(decl_387, type, esk85_1: set_nat > nat). 2.31/2.49 thf(decl_388, type, esk86_2: set_nat > nat > nat). 2.31/2.49 thf(decl_389, type, esk87_1: set_nat > nat). 2.31/2.49 thf(decl_390, type, esk88_2: set_nat > nat > nat). 2.31/2.49 thf(decl_391, type, esk89_4: (int > nat) > (int > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_392, type, esk90_3: (int > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_393, type, esk91_4: (int > nat) > (int > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_394, type, esk92_4: (int > nat) > (int > nat) > (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_395, type, esk93_4: set_int > set_int > (int > nat) > (int > nat) > int). 2.31/2.49 thf(decl_396, type, esk94_4: set_int > set_int > (int > nat) > (int > nat) > int). 2.31/2.49 thf(decl_397, type, esk95_3: nat > (int > nat) > set_int > int). 2.31/2.49 thf(decl_398, type, esk96_3: (int > nat) > set_int > (nat > $o) > int). 2.31/2.49 thf(decl_399, type, esk97_4: set_int > set_int > (int > nat) > (int > nat) > int). 2.31/2.49 thf(decl_400, type, esk98_3: (int > nat) > set_int > (nat > $o) > nat). 2.31/2.49 thf(decl_401, type, esk99_3: nat > (int > nat) > set_int > int). 2.31/2.49 thf(decl_402, type, esk100_2: nat > (int > nat) > int). 2.31/2.49 thf(decl_403, type, esk101_2: (int > nat) > (int > nat) > int). 2.31/2.49 thf(decl_404, type, esk102_1: set_int > int). 2.31/2.49 thf(decl_405, type, esk103_0: int). 2.31/2.49 thf(decl_406, type, esk104_1: set_option_int > option_int). 2.31/2.49 thf(decl_407, type, esk105_2: (int > $o) > (int > $o) > int). 2.31/2.49 thf(decl_408, type, esk106_3: set_int > set_option_int > (int > option_int > $o) > int). 2.31/2.49 thf(decl_409, type, esk107_3: set_int > set_option_int > (int > option_int > $o) > option_int). 2.31/2.49 thf(decl_410, type, esk108_4: set_nat > set_nat > (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_411, type, esk109_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_412, type, esk110_4: set_nat > set_nat > (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_413, type, esk111_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_414, type, esk112_3: nat > (nat > nat) > set_nat > nat). 2.31/2.49 thf(decl_415, type, esk113_3: finite_mod_ring_a > (nat > finite_mod_ring_a) > set_nat > nat). 2.31/2.49 thf(decl_416, type, esk114_3: (nat > finite_mod_ring_a) > set_nat > (finite_mod_ring_a > $o) > nat). 2.31/2.49 thf(decl_417, type, esk115_3: (nat > nat) > set_nat > (nat > $o) > nat). 2.31/2.49 thf(decl_418, type, esk116_4: set_nat > set_nat > (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_419, type, esk117_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_420, type, esk118_3: (nat > finite_mod_ring_a) > set_nat > (finite_mod_ring_a > $o) > finite_mod_ring_a). 2.31/2.49 thf(decl_421, type, esk119_3: (nat > nat) > set_nat > (nat > $o) > nat). 2.31/2.49 thf(decl_422, type, esk120_3: nat > (nat > nat) > set_nat > nat). 2.31/2.49 thf(decl_423, type, esk121_3: finite_mod_ring_a > (nat > finite_mod_ring_a) > set_nat > nat). 2.31/2.49 thf(decl_424, type, esk122_2: (nat > $o) > (nat > $o) > nat). 2.31/2.49 thf(decl_425, type, esk123_3: set_nat > set_option_int > (nat > option_int > $o) > nat). 2.31/2.49 thf(decl_426, type, esk124_3: set_nat > set_option_int > (nat > option_int > $o) > option_int). 2.31/2.49 thf(decl_427, type, esk125_2: set_nat > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_428, type, esk126_2: int > (int > $o) > int). 2.31/2.49 thf(decl_429, type, esk127_2: int > (nat > int) > nat). 2.31/2.49 thf(decl_430, type, esk128_2: (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_431, type, esk129_2: int > (int > $o) > int). 2.31/2.49 thf(decl_432, type, esk130_2: set_int > int > int). 2.31/2.49 thf(decl_433, type, esk131_1: set_int > int). 2.31/2.49 thf(decl_434, type, esk132_2: int > (int > $o) > int). 2.31/2.49 thf(decl_435, type, esk133_2: int > (int > $o) > int). 2.31/2.49 thf(decl_436, type, esk134_4: int > (int > $o) > (int > $o) > int > int). 2.31/2.49 thf(decl_437, type, esk135_3: int > (int > $o) > (int > $o) > int). 2.31/2.49 thf(decl_438, type, esk136_2: int > (int > $o) > int). 2.31/2.49 thf(decl_439, type, esk137_2: int > (int > $o) > int). 2.31/2.49 thf(decl_440, type, esk138_4: int > (int > $o) > (int > $o) > int > int). 2.31/2.49 thf(decl_441, type, esk139_3: int > (int > $o) > (int > $o) > int). 2.31/2.49 thf(decl_442, type, esk140_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_443, type, esk141_0: finite_mod_ring_a). 2.31/2.49 thf(decl_444, type, esk142_3: finite_mod_ring_a > (int > finite_mod_ring_a) > set_int > int). 2.31/2.49 thf(decl_445, type, esk143_2: finite_mod_ring_a > (int > finite_mod_ring_a) > int). 2.31/2.49 thf(decl_446, type, esk144_2: (nat > finite_mod_ring_a) > finite_mod_ring_a > nat). 2.31/2.49 thf(decl_447, type, esk145_1: (nat > finite_mod_ring_a) > finite_mod_ring_a). 2.31/2.49 thf(decl_448, type, esk146_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > nat) > finite_mod_ring_a). 2.31/2.49 thf(decl_449, type, esk147_2: (nat > finite_mod_ring_a) > finite_mod_ring_a > nat). 2.31/2.49 thf(decl_450, type, esk148_2: (nat > finite_mod_ring_a) > finite_mod_ring_a > nat). 2.31/2.49 thf(decl_451, type, esk149_2: nat > nat > nat). 2.31/2.49 thf(decl_452, type, esk150_2: nat > nat > nat). 2.31/2.49 thf(decl_453, type, esk151_2: nat > nat > nat). 2.31/2.49 thf(decl_454, type, esk152_3: (nat > $o) > nat > nat > nat). 2.31/2.49 thf(decl_455, type, esk153_3: (nat > $o) > nat > nat > nat). 2.31/2.49 thf(decl_456, type, esk154_1: (nat > nat) > nat). 2.31/2.49 thf(decl_457, type, esk155_1: (nat > nat) > nat). 2.31/2.49 thf(decl_458, type, esk156_3: int > (finite_mod_ring_a > int) > set_Fi2982333969990053029ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_459, type, esk157_2: set_Fi2982333969990053029ring_a > (finite_mod_ring_a > int) > finite_mod_ring_a). 2.31/2.49 thf(decl_460, type, esk158_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_461, type, esk159_2: int > (kyber_qr_a > int) > kyber_qr_a). 2.31/2.49 thf(decl_462, type, esk160_2: (kyber_qr_a > int) > (kyber_qr_a > int) > kyber_qr_a). 2.31/2.49 thf(decl_463, type, esk161_2: int > int > int). 2.31/2.49 thf(decl_464, type, esk162_2: int > int > int). 2.31/2.49 thf(decl_465, type, esk163_2: set_int > int > int). 2.31/2.49 thf(decl_466, type, esk164_1: set_int > int). 2.31/2.49 thf(decl_467, type, esk165_1: set_Kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_468, type, esk166_1: set_Kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_469, type, esk167_0: kyber_qr_a). 2.31/2.49 thf(decl_470, type, esk168_2: kyber_qr_a > (kyber_qr_a > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_471, type, esk169_4: set_Kyber_qr_a > set_Kyber_qr_a > (kyber_qr_a > kyber_qr_a) > (kyber_qr_a > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_472, type, esk170_4: set_Kyber_qr_a > set_Kyber_qr_a > (kyber_qr_a > kyber_qr_a) > (kyber_qr_a > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_473, type, esk171_3: kyber_qr_a > (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_474, type, esk172_3: (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a). 2.31/2.49 thf(decl_475, type, esk173_4: set_Kyber_qr_a > set_Kyber_qr_a > (kyber_qr_a > kyber_qr_a) > (kyber_qr_a > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_476, type, esk174_3: (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > (kyber_qr_a > $o) > kyber_qr_a). 2.31/2.49 thf(decl_477, type, esk175_3: kyber_qr_a > (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_478, type, esk176_2: poly_Kyber_qr_a > poly_Kyber_qr_a > nat). 2.31/2.49 thf(decl_479, type, esk177_2: poly_Kyber_qr_a > poly_Kyber_qr_a > nat). 2.31/2.49 thf(decl_480, type, esk178_1: (nat > $o) > nat). 2.31/2.49 thf(decl_481, type, esk179_1: (nat > $o) > nat). 2.31/2.49 thf(decl_482, type, esk180_1: (nat > $o) > nat). 2.31/2.49 thf(decl_483, type, esk181_1: (nat > nat) > nat). 2.31/2.49 thf(decl_484, type, esk182_1: (nat > nat) > nat). 2.31/2.49 thf(decl_485, type, esk183_2: (nat > $o) > nat > nat). 2.31/2.49 thf(decl_486, type, esk184_2: (nat > $o) > nat > nat). 2.31/2.49 thf(decl_487, type, esk185_1: (nat > $o) > nat). 2.31/2.49 thf(decl_488, type, esk186_2: (nat > $o) > nat > nat). 2.31/2.49 thf(decl_489, type, esk187_1: (nat > $o) > nat). 2.31/2.49 thf(decl_490, type, esk188_2: (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_491, type, esk189_2: (kyber_qr_a > nat) > (kyber_qr_a > nat) > kyber_qr_a). 2.31/2.49 thf(decl_492, type, esk190_3: set_option_int > set_int > (option_int > int > $o) > option_int). 2.31/2.49 thf(decl_493, type, esk191_3: set_option_int > set_int > (option_int > int > $o) > int). 2.31/2.49 thf(decl_494, type, esk192_3: set_option_int > set_nat > (option_int > nat > $o) > option_int). 2.31/2.49 thf(decl_495, type, esk193_3: set_option_int > set_nat > (option_int > nat > $o) > nat). 2.31/2.49 thf(decl_496, type, esk194_2: set_option_int > (option_int > int) > option_int). 2.31/2.49 thf(decl_497, type, esk195_1: (option_int > $o) > option_int). 2.31/2.49 thf(decl_498, type, esk196_3: set_Fi2982333969990053029ring_a > set_int > (finite_mod_ring_a > int > $o) > finite_mod_ring_a). 2.31/2.49 thf(decl_499, type, esk197_3: set_Fi2982333969990053029ring_a > set_int > (finite_mod_ring_a > int > $o) > int). 2.31/2.49 thf(decl_500, type, esk198_3: set_Fi2982333969990053029ring_a > set_nat > (finite_mod_ring_a > nat > $o) > finite_mod_ring_a). 2.31/2.49 thf(decl_501, type, esk199_3: set_Fi2982333969990053029ring_a > set_nat > (finite_mod_ring_a > nat > $o) > nat). 2.31/2.49 thf(decl_502, type, esk200_2: set_Fi2982333969990053029ring_a > (finite_mod_ring_a > nat) > finite_mod_ring_a). 2.31/2.49 thf(decl_503, type, esk201_3: nat > (finite_mod_ring_a > nat) > set_Fi2982333969990053029ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_504, type, esk202_2: (int > int) > (int > int) > int). 2.31/2.49 thf(decl_505, type, esk203_2: (int > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_506, type, esk204_2: (nat > nat) > (nat > nat) > nat). 2.31/2.49 thf(decl_507, type, esk205_3: nat > nat > nat > nat). 2.31/2.49 thf(decl_508, type, esk206_3: nat > nat > nat > nat). 2.31/2.49 thf(decl_509, type, esk207_3: nat > nat > nat > nat). 2.31/2.49 thf(decl_510, type, esk208_3: nat > nat > nat > nat). 2.31/2.49 thf(decl_511, type, esk209_3: (nat > $o) > nat > nat > nat). 2.31/2.49 thf(decl_512, type, esk210_3: (nat > $o) > nat > nat > nat). 2.31/2.49 thf(decl_513, type, esk211_3: finite_mod_ring_a > (finite_mod_ring_a > finite_mod_ring_a) > set_Fi2982333969990053029ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_514, type, esk212_2: (kyber_qr_a > int) > int > kyber_qr_a). 2.31/2.49 thf(decl_515, type, esk213_1: (kyber_qr_a > int) > int). 2.31/2.49 thf(decl_516, type, esk214_2: (kyber_qr_a > int) > (int > kyber_qr_a) > int). 2.31/2.49 thf(decl_517, type, esk215_2: (kyber_qr_a > int) > int > kyber_qr_a). 2.31/2.49 thf(decl_518, type, esk216_2: (kyber_qr_a > int) > int > kyber_qr_a). 2.31/2.49 thf(decl_519, type, esk217_2: int > (kyber_qr_a > int) > kyber_qr_a). 2.31/2.49 thf(decl_520, type, esk218_2: poly_int > poly_int > nat). 2.31/2.49 thf(decl_521, type, esk219_2: poly_int > poly_int > nat). 2.31/2.49 thf(decl_522, type, esk220_2: (kyber_qr_a > nat) > nat > kyber_qr_a). 2.31/2.49 thf(decl_523, type, esk221_1: (kyber_qr_a > nat) > nat). 2.31/2.49 thf(decl_524, type, esk222_2: (kyber_qr_a > nat) > (nat > kyber_qr_a) > nat). 2.31/2.49 thf(decl_525, type, esk223_2: (kyber_qr_a > nat) > nat > kyber_qr_a). 2.31/2.49 thf(decl_526, type, esk224_2: (kyber_qr_a > nat) > nat > kyber_qr_a). 2.31/2.49 thf(decl_527, type, esk225_2: nat > (kyber_qr_a > nat) > kyber_qr_a). 2.31/2.49 thf(decl_528, type, esk226_2: (nat > kyber_qr_a) > kyber_qr_a > nat). 2.31/2.49 thf(decl_529, type, esk227_1: (nat > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_530, type, esk228_2: (nat > kyber_qr_a) > (kyber_qr_a > nat) > kyber_qr_a). 2.31/2.49 thf(decl_531, type, esk229_2: (nat > kyber_qr_a) > kyber_qr_a > nat). 2.31/2.49 thf(decl_532, type, esk230_2: (nat > kyber_qr_a) > kyber_qr_a > nat). 2.31/2.49 thf(decl_533, type, esk231_2: (int > kyber_qr_a) > kyber_qr_a > int). 2.31/2.49 thf(decl_534, type, esk232_1: (int > kyber_qr_a) > kyber_qr_a). 2.31/2.49 thf(decl_535, type, esk233_2: (int > kyber_qr_a) > (kyber_qr_a > int) > kyber_qr_a). 2.31/2.49 thf(decl_536, type, esk234_2: (int > kyber_qr_a) > kyber_qr_a > int). 2.31/2.49 thf(decl_537, type, esk235_2: (int > kyber_qr_a) > kyber_qr_a > int). 2.31/2.49 thf(decl_538, type, esk236_3: int > int > (int > $o) > int). 2.31/2.49 thf(decl_539, type, esk237_3: int > int > (int > $o) > int). 2.31/2.49 thf(decl_540, type, esk238_3: int > int > (int > $o) > int). 2.31/2.49 thf(decl_541, type, esk239_3: int > int > (int > $o) > int). 2.31/2.49 thf(decl_542, type, epred2_2: (int > $o) > (int > $o) > int > $o). 2.31/2.49 thf(decl_543, type, epred3_2: (int > $o) > (int > $o) > int > $o). 2.31/2.49 thf(decl_544, type, epred4_1: (int > $o) > int > $o). 2.31/2.49 thf(decl_545, type, epred5_3: (int > int > $o) > set_int > set_int > int > $o). 2.31/2.49 thf(decl_546, type, epred6_3: (int > nat > $o) > set_nat > set_int > int > $o). 2.31/2.49 thf(decl_547, type, epred7_3: (nat > int > $o) > set_nat > set_int > nat > $o). 2.31/2.49 thf(decl_548, type, epred8_2: (int > int) > set_int > int > $o). 2.31/2.49 thf(decl_549, type, epred9_2: (int > nat) > set_int > int > $o). 2.31/2.49 thf(decl_550, type, epred10_2: (nat > int) > set_nat > nat > $o). 2.31/2.49 thf(decl_551, type, esk240_2: (nat > int) > (int > int) > nat > int). 2.31/2.49 thf(decl_552, type, esk241_2: (nat > int) > (int > nat) > nat > nat). 2.31/2.49 thf(decl_553, type, esk242_2: (nat > nat) > (nat > int) > nat > int). 2.31/2.49 thf(decl_554, type, esk243_2: (int > int) > (int > int) > int > int). 2.31/2.49 thf(decl_555, type, esk244_2: (int > int) > (int > nat) > int > nat). 2.31/2.49 thf(decl_556, type, esk245_2: (int > nat) > (nat > int) > int > int). 2.31/2.49 thf(decl_557, type, esk246_2: (nat > int) > (nat > int) > nat > int). 2.31/2.49 thf(decl_558, type, esk247_2: (int > int) > (int > int) > int > int). 2.31/2.49 thf(decl_559, type, epred11_2: int > int > int > $o). 2.31/2.49 thf(decl_560, type, epred12_2: int > int > int > $o). 2.31/2.49 thf(decl_561, type, epred13_2: int > int > int > $o). 2.31/2.49 thf(decl_562, type, epred14_2: int > int > int > $o). 2.31/2.49 thf(decl_563, type, epred15_3: (int > $o) > (nat > int) > set_nat > int > $o). 2.31/2.49 thf(decl_564, type, epred16_3: (nat > int) > (int > $o) > set_nat > nat > $o). 2.31/2.49 thf(decl_565, type, epred17_1: (nat > $o) > nat > $o). 2.31/2.49 thf(decl_566, type, epred18_0: nat > $o). 2.31/2.49 thf(decl_567, type, esk248_2: (nat > nat) > (nat > nat) > nat > nat). 2.31/2.49 thf(decl_568, type, esk249_2: (nat > nat) > (nat > nat) > nat > nat). 2.31/2.49 thf(decl_569, type, esk250_1: int > finite_mod_ring_a > int). 2.31/2.49 thf(decl_570, type, esk251_1: kyber_qr_a > nat > int). 2.31/2.49 thf(decl_571, type, esk252_2: kyber_qr_a > kyber_qr_a > nat > int). 2.31/2.49 thf(decl_572, type, esk253_2: kyber_qr_a > kyber_qr_a > nat > int). 2.31/2.49 thf(decl_573, type, esk254_2: kyber_qr_a > int > nat > int). 2.31/2.49 thf(decl_574, type, esk255_2: kyber_qr_a > int > nat > int). 2.31/2.49 thf(decl_575, type, esk256_1: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_576, type, esk257_0: int > int). 2.31/2.49 thf(decl_577, type, esk258_1: int > int > int). 2.31/2.49 thf(decl_578, type, epred19_3: (int > $o) > (int > int) > set_int > int > $o). 2.31/2.49 thf(decl_579, type, epred20_3: (int > int) > (int > $o) > set_int > int > $o). 2.31/2.49 thf(decl_580, type, esk259_1: int > int > int). 2.31/2.49 thf(decl_581, type, epred21_2: (nat > $o) > (nat > $o) > nat > $o). 2.31/2.49 thf(decl_582, type, epred22_2: (nat > $o) > (nat > $o) > nat > $o). 2.31/2.49 thf(decl_583, type, epred23_3: (nat > nat > $o) > set_nat > set_nat > nat > $o). 2.31/2.49 thf(decl_584, type, epred24_2: (nat > nat) > set_nat > nat > $o). 2.31/2.49 thf(decl_585, type, esk260_2: (int > nat) > (nat > nat) > int > nat). 2.31/2.49 thf(decl_586, type, esk261_2: (int > nat) > (int > nat) > int > nat). 2.31/2.49 thf(decl_587, type, epred25_1: nat > nat > $o). 2.31/2.49 thf(decl_588, type, epred26_1: nat > nat > $o). 2.31/2.49 thf(decl_589, type, epred27_2: nat > (nat > nat) > nat > $o). 2.31/2.49 thf(decl_590, type, epred28_2: nat > (nat > $o) > nat > $o). 2.31/2.49 thf(decl_591, type, epred29_3: (nat > $o) > (int > nat) > set_int > nat > $o). 2.31/2.49 thf(decl_592, type, epred30_3: (int > nat) > (nat > $o) > set_int > int > $o). 2.31/2.49 thf(decl_593, type, epred31_0: int > $o). 2.31/2.49 thf(decl_594, type, epred32_1: (option_int > $o) > option_int > $o). 2.31/2.49 thf(decl_595, type, epred33_1: set_int > int > $o). 2.31/2.49 thf(decl_596, type, epred34_2: set_int > set_int > int > $o). 2.31/2.49 thf(decl_597, type, epred35_3: (finite_mod_ring_a > $o) > (int > finite_mod_ring_a) > set_int > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_598, type, epred36_3: (int > finite_mod_ring_a) > (finite_mod_ring_a > $o) > set_int > int > $o). 2.31/2.49 thf(decl_599, type, epred37_3: (int > $o) > set_Fi2982333969990053029ring_a > (finite_mod_ring_a > int) > int > $o). 2.31/2.49 thf(decl_600, type, epred38_3: (finite_mod_ring_a > int) > set_Fi2982333969990053029ring_a > (int > $o) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_601, type, epred39_3: (int > option_int > $o) > set_option_int > set_int > int > $o). 2.31/2.49 thf(decl_602, type, epred40_1: set_int > int > $o). 2.31/2.49 thf(decl_603, type, epred41_1: set_nat > nat > $o). 2.31/2.49 thf(decl_604, type, epred42_3: (nat > $o) > (nat > nat) > set_nat > nat > $o). 2.31/2.49 thf(decl_605, type, epred43_3: (nat > nat) > (nat > $o) > set_nat > nat > $o). 2.31/2.49 thf(decl_606, type, epred44_2: set_nat > set_nat > nat > $o). 2.31/2.49 thf(decl_607, type, epred45_3: (finite_mod_ring_a > $o) > (nat > finite_mod_ring_a) > set_nat > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_608, type, epred46_3: (nat > finite_mod_ring_a) > (finite_mod_ring_a > $o) > set_nat > nat > $o). 2.31/2.49 thf(decl_609, type, epred47_3: (nat > $o) > set_Fi2982333969990053029ring_a > (finite_mod_ring_a > nat) > nat > $o). 2.31/2.49 thf(decl_610, type, epred48_3: (finite_mod_ring_a > nat) > set_Fi2982333969990053029ring_a > (nat > $o) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_611, type, epred49_3: (nat > option_int > $o) > set_option_int > set_nat > nat > $o). 2.31/2.49 thf(decl_612, type, epred50_2: (nat > finite_mod_ring_a) > set_nat > nat > $o). 2.31/2.49 thf(decl_613, type, epred51_1: set_nat > nat > $o). 2.31/2.49 thf(decl_614, type, esk262_0: nat > nat). 2.31/2.49 thf(decl_615, type, esk263_1: int > int > int). 2.31/2.49 thf(decl_616, type, esk264_1: int > nat > int). 2.31/2.49 thf(decl_617, type, epred52_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_618, type, esk265_2: (nat > int) > (int > finite_mod_ring_a) > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_619, type, esk266_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > nat > int). 2.31/2.49 thf(decl_620, type, esk267_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > nat) > nat > nat). 2.31/2.49 thf(decl_621, type, esk268_2: (nat > finite_mod_ring_a) > (nat > finite_mod_ring_a) > nat > finite_mod_ring_a). 2.31/2.49 thf(decl_622, type, epred53_2: (finite_mod_ring_a > int) > set_Fi2982333969990053029ring_a > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_623, type, esk269_1: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_624, type, esk270_1: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_625, type, esk271_2: (kyber_qr_a > int) > (kyber_qr_a > int) > kyber_qr_a > int). 2.31/2.49 thf(decl_626, type, esk272_2: (int > finite_mod_ring_a) > (int > finite_mod_ring_a) > int > finite_mod_ring_a). 2.31/2.49 thf(decl_627, type, esk273_1: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_628, type, esk274_0: kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_629, type, esk275_2: (kyber_qr_a > nat) > (kyber_qr_a > nat) > kyber_qr_a > nat). 2.31/2.49 thf(decl_630, type, epred54_3: (option_int > int > $o) > set_option_int > set_int > option_int > $o). 2.31/2.49 thf(decl_631, type, epred55_3: (option_int > nat > $o) > set_option_int > set_nat > option_int > $o). 2.31/2.49 thf(decl_632, type, epred56_2: (option_int > int) > set_option_int > option_int > $o). 2.31/2.49 thf(decl_633, type, epred57_2: (option_int > $o) > (option_int > $o) > option_int > $o). 2.31/2.49 thf(decl_634, type, epred58_2: (option_int > $o) > (option_int > $o) > option_int > $o). 2.31/2.49 thf(decl_635, type, epred59_2: set_Fi2982333969990053029ring_a > set_Fi2982333969990053029ring_a > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_636, type, epred60_3: (finite_mod_ring_a > $o) > set_Fi2982333969990053029ring_a > (finite_mod_ring_a > finite_mod_ring_a) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_637, type, epred61_3: (finite_mod_ring_a > finite_mod_ring_a) > set_Fi2982333969990053029ring_a > (finite_mod_ring_a > $o) > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_638, type, epred62_3: (finite_mod_ring_a > int > $o) > set_Fi2982333969990053029ring_a > set_int > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_639, type, epred63_3: (finite_mod_ring_a > nat > $o) > set_Fi2982333969990053029ring_a > set_nat > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_640, type, epred64_2: (finite_mod_ring_a > nat) > set_Fi2982333969990053029ring_a > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_641, type, epred65_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a > $o). 2.31/2.49 thf(decl_642, type, epred66_3: (kyber_qr_a > $o) > (kyber_qr_a > kyber_qr_a) > set_Kyber_qr_a > kyber_qr_a > $o). 2.31/2.49 thf(decl_643, type, epred67_3: (kyber_qr_a > kyber_qr_a) > (kyber_qr_a > $o) > set_Kyber_qr_a > kyber_qr_a > $o). 2.31/2.49 thf(decl_644, type, epred68_1: (kyber_qr_a > $o) > kyber_qr_a > $o). 2.31/2.49 thf(decl_645, type, esk276_2: (nat > kyber_qr_a) > (nat > kyber_qr_a) > nat > kyber_qr_a). 2.31/2.49 thf(decl_646, type, esk277_2: (int > kyber_qr_a) > (int > kyber_qr_a) > int > kyber_qr_a). 2.31/2.49 thf(decl_647, type, epred69_0: kyber_qr_a > $o). 2.31/2.49 thf(decl_648, type, esk278_1: kyber_qr_a > nat). 2.31/2.49 thf(decl_649, type, esk279_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 2.31/2.49 thf(decl_650, type, esk280_1: set_nat > nat). 2.31/2.49 thf(decl_651, type, esk281_1: set_int > int). 2.31/2.49 thf(decl_652, type, esk282_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_653, type, esk283_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_654, type, esk284_2: kyber_qr_a > int > nat). 2.31/2.49 thf(decl_655, type, esk285_1: set_nat > nat). 2.31/2.49 thf(decl_656, type, esk286_2: poly_Kyber_qr_a > poly_Kyber_qr_a > nat). 2.31/2.49 thf(decl_657, type, esk287_1: finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_658, type, esk288_2: poly_int > poly_int > nat). 2.31/2.49 thf(decl_659, type, esk289_1: nat > nat). 2.31/2.49 thf(decl_660, type, esk290_1: int > int). 2.31/2.49 thf(decl_661, type, esk291_1: nat > nat). 2.31/2.49 thf(decl_662, type, esk292_1: set_int > int). 2.31/2.49 thf(decl_663, type, esk293_2: set_nat > nat > nat). 2.31/2.49 thf(decl_664, type, esk294_2: set_nat > nat > nat). 2.31/2.49 thf(decl_665, type, esk295_2: int > int > int). 2.31/2.49 thf(decl_666, type, esk296_2: int > int > int). 2.31/2.49 thf(decl_667, type, esk297_2: int > int > int). 2.31/2.49 thf(decl_668, type, esk298_2: int > int > int). 2.31/2.49 thf(decl_669, type, esk299_3: set_int > int > int > int). 2.31/2.49 thf(decl_670, type, esk300_3: set_int > int > int > int). 2.31/2.49 thf(decl_671, type, esk301_2: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_672, type, esk302_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_673, type, esk303_2: poly_Kyber_qr_a > poly_Kyber_qr_a > poly_Kyber_qr_a). 2.31/2.49 thf(decl_674, type, esk304_2: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_675, type, esk305_2: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_676, type, esk306_2: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 2.31/2.49 thf(decl_677, type, esk307_2: poly_int > poly_int > poly_int). 2.31/2.49 thf(decl_678, type, esk308_2: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_679, type, esk309_2: kyber_qr_a > kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_680, type, esk310_2: nat > nat > nat). 2.31/2.49 thf(decl_681, type, esk311_2: nat > nat > nat). 2.31/2.49 thf(decl_682, type, esk312_2: int > int > int). 2.31/2.49 thf(decl_683, type, esk313_2: int > int > int). 2.31/2.49 thf(decl_684, type, esk314_2: nat > (nat > $o) > nat). 2.31/2.49 thf(decl_685, type, esk315_2: int > int > int). 2.31/2.49 thf(decl_686, type, esk316_1: kyber_qr_a > nat). 2.31/2.49 thf(decl_687, type, esk317_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_688, type, esk318_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_689, type, esk319_2: kyber_qr_a > int > nat). 2.31/2.49 thf(decl_690, type, esk320_2: (int > $o) > (int > $o) > int). 2.31/2.49 thf(decl_691, type, esk321_2: (int > $o) > (int > $o) > int). 2.31/2.49 thf(decl_692, type, esk322_1: kyber_qr_a > nat). 2.31/2.49 thf(decl_693, type, esk323_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_694, type, esk324_2: kyber_qr_a > kyber_qr_a > nat). 2.31/2.49 thf(decl_695, type, esk325_2: kyber_qr_a > int > nat). 2.31/2.49 thf(decl_696, type, esk326_1: kyber_qr_a > kyber_qr_a). 2.31/2.49 thf(decl_697, type, esk327_1: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 2.31/2.49 thf(decl_698, type, esk328_4: (nat > int) > (int > nat) > (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_699, type, esk329_4: (int > int) > (nat > int) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_700, type, esk330_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_701, type, esk331_4: (nat > int) > (nat > nat) > (nat > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_702, type, esk332_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > nat) > nat). 2.31/2.49 thf(decl_703, type, esk333_1: poly_Kyber_qr_a > poly_Kyber_qr_a). 2.31/2.49 thf(decl_704, type, esk334_1: poly_int > poly_int). 2.31/2.49 thf(decl_705, type, esk335_2: (nat > $o) > (nat > $o) > nat). 2.31/2.49 thf(decl_706, type, esk336_2: (nat > $o) > (nat > $o) > nat). 2.31/2.49 thf(decl_707, type, esk337_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > nat). 2.31/2.49 thf(decl_708, type, esk338_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > nat). 2.31/2.49 thf(decl_709, type, esk339_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > nat). 2.31/2.49 thf(decl_710, type, esk340_2: (nat > finite_mod_ring_a) > (finite_mod_ring_a > nat) > nat). 2.31/2.49 thf(decl_711, type, esk341_4: (int > int) > (nat > int) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_712, type, esk342_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_713, type, esk343_4: (nat > int) > (nat > nat) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_714, type, esk344_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_715, type, esk345_4: (nat > int) > (nat > nat) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > nat). 2.31/2.49 thf(decl_716, type, esk346_4: (nat > int) > (int > nat) > (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_717, type, esk347_4: (nat > int) > (nat > nat) > (nat > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_718, type, esk348_4: (int > int) > (nat > int) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_719, type, esk349_4: (int > int) > (nat > int) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_720, type, esk350_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_721, type, esk351_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_722, type, esk352_4: (nat > int) > (nat > nat) > (nat > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_723, type, esk353_4: (nat > int) > (nat > nat) > (nat > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_724, type, esk354_4: (nat > int) > (int > nat) > (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_725, type, esk355_4: (nat > int) > (int > nat) > (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_726, type, esk356_3: set_int > int > int > int). 2.31/2.49 thf(decl_727, type, esk357_3: set_int > int > int > int). 2.31/2.49 thf(decl_728, type, esk358_2: (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_729, type, esk359_2: (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_730, type, esk360_2: (nat > int) > (nat > int) > nat). 2.31/2.49 thf(decl_731, type, esk361_4: (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > (finite_mod_ring_a > int) > (nat > finite_mod_ring_a) > nat). 2.31/2.49 thf(decl_732, type, esk362_4: (nat > int) > (int > nat) > (nat > int) > (int > nat) > int). 2.31/2.49 thf(decl_733, type, esk363_4: (int > int) > (nat > int) > (nat > int) > (int > int) > nat). 2.31/2.49 thf(decl_734, type, esk364_4: (nat > int) > (nat > nat) > (nat > nat) > (nat > int) > nat). 2.31/2.49 thf(decl_735, type, esk365_1: kyber_qr_a > nat). 2.31/2.49 thf(decl_736, type, esk366_1: (nat > $o) > nat). 2.31/2.49 thf(decl_737, type, esk367_0: nat). 2.31/2.49 thf(decl_738, type, esk368_1: set_nat > nat). 2.31/2.49 thf(decl_739, type, esk369_1: (nat > $o) > nat). 2.31/2.49 thf(decl_740, type, esk370_0: nat). 2.31/2.49 thf(decl_741, type, esk371_1: (nat > $o) > nat). 2.31/2.49 thf(decl_742, type, esk372_1: (nat > $o) > nat). 2.31/2.49 thf(decl_743, type, esk373_1: set_nat > nat). 2.31/2.49 thf(decl_744, type, esk374_1: set_nat > nat). 2.31/2.49 thf(fact_116_diff__left__imp__eq, axiom, ![X210:kyber_qr_a, X211:kyber_qr_a, X212:kyber_qr_a]:((((minus_3375643675566563378r_qr_a @ X210 @ X211)=(minus_3375643675566563378r_qr_a @ X210 @ X212))=>((X211)=(X212)))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_116_diff__left__imp__eq)). 2.31/2.49 thf(fact_574_diff__0, axiom, ![X1178:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ zero_zero_Kyber_qr_a @ X1178)=(uminus3675112017196868514r_qr_a @ X1178))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_574_diff__0)). 2.31/2.49 thf(fact_495_finite__Max, axiom, ![X1077:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[X1078:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X1077) @ X1078))) @ top_top_set_nat))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_495_finite__Max)). 2.31/2.49 thf(fact_469_minus__diff__eq, axiom, ![X1039:kyber_qr_a, X211:kyber_qr_a]:(((uminus3675112017196868514r_qr_a @ (minus_3375643675566563378r_qr_a @ X1039 @ X211))=(minus_3375643675566563378r_qr_a @ X211 @ X1039))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_469_minus__diff__eq)). 2.31/2.49 thf(fact_522_diff__zero, axiom, ![X1130:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ X1130 @ zero_zero_Kyber_qr_a)=(X1130))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_522_diff__zero)). 2.31/2.49 thf(conj_0, conjecture, (finite_finite_int @ (image_nat_int @ (comp_F5721690436324261920nt_nat @ (abs_ky7385543178848499077ty_q_a @ q) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ (minus_3375643675566563378r_qr_a @ x @ (kyber_3587082902811259984poly_a @ q @ d @ (kyber_2515840456745678993poly_a @ q @ d @ x)))))) @ top_top_set_nat)), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', conj_0)). 2.31/2.49 thf(fact_953_uminus__add__conv__diff, axiom, ![X2004:kyber_qr_a, X211:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ (uminus3675112017196868514r_qr_a @ X2004) @ X211)=(minus_3375643675566563378r_qr_a @ X211 @ X2004))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_953_uminus__add__conv__diff)). 2.31/2.49 thf(fact_1024_add_Ocommute, axiom, ((plus_plus_Kyber_qr_a)=(^[X2162:kyber_qr_a, X1436:kyber_qr_a]:(plus_plus_Kyber_qr_a @ X1436 @ X2162))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_1024_add_Ocommute)). 2.31/2.49 thf(fact_104_comp__apply, axiom, ((comp_F5721690436324261920nt_nat)=(^[X186:finite_mod_ring_a > int, X187:nat > finite_mod_ring_a, X188:nat]:(X186 @ (X187 @ X188)))), file('/export/starexec/sandbox/tmp/tmp.hze7V8PpOQ/Vampire---4.8_25381', fact_104_comp__apply)). 2.31/2.49 thf(c_0_9, plain, ![X5701:kyber_qr_a, X5702:kyber_qr_a, X5703:kyber_qr_a]:((((minus_3375643675566563378r_qr_a @ X5701 @ X5702)!=(minus_3375643675566563378r_qr_a @ X5701 @ X5703))|((X5702)=(X5703)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_116_diff__left__imp__eq])])). 2.31/2.49 thf(c_0_10, plain, ![X5717:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ zero_zero_Kyber_qr_a @ X5717)=(uminus3675112017196868514r_qr_a @ X5717))), inference(variable_rename,[status(thm)],[fact_574_diff__0])). 2.31/2.49 thf(c_0_11, plain, ![X1077:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[Z0:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X1077) @ Z0))) @ top_top_set_nat))), inference(fof_simplification,[status(thm)],[fact_495_finite__Max])). 2.31/2.49 thf(c_0_12, plain, ![X5:kyber_qr_a, X124:kyber_qr_a, X210:kyber_qr_a]:((((X124)=(X210))|((minus_3375643675566563378r_qr_a @ X5 @ X124)!=(minus_3375643675566563378r_qr_a @ X5 @ X210)))), inference(split_conjunct,[status(thm)],[c_0_9])). 2.31/2.49 thf(c_0_13, plain, ![X5:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ zero_zero_Kyber_qr_a @ X5)=(uminus3675112017196868514r_qr_a @ X5))), inference(split_conjunct,[status(thm)],[c_0_10])). 2.31/2.49 thf(c_0_14, plain, ![X5707:kyber_qr_a, X5708:kyber_qr_a]:(((uminus3675112017196868514r_qr_a @ (minus_3375643675566563378r_qr_a @ X5707 @ X5708))=(minus_3375643675566563378r_qr_a @ X5708 @ X5707))), inference(variable_rename,[status(thm)],[fact_469_minus__diff__eq])). 2.31/2.49 thf(c_0_15, plain, ![X5714:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ X5714 @ zero_zero_Kyber_qr_a)=(X5714))), inference(variable_rename,[status(thm)],[fact_522_diff__zero])). 2.31/2.49 thf(c_0_16, plain, ![X5679:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (^[Z0:nat]:(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X5679) @ Z0))) @ top_top_set_nat))), inference(variable_rename,[status(thm)],[c_0_11])). 2.31/2.49 thf(c_0_17, plain, ![X8133:nat, X5:kyber_qr_a]:(((esk251_1 @ X5 @ X8133)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X5) @ X8133)))), introduced(definition)). 2.31/2.49 thf(c_0_18, plain, ![X5:kyber_qr_a, X124:kyber_qr_a]:((((X5)=(X124))|((uminus3675112017196868514r_qr_a @ X5)!=(uminus3675112017196868514r_qr_a @ X124)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_13])). 2.31/2.49 thf(c_0_19, plain, ![X124:kyber_qr_a, X5:kyber_qr_a]:(((uminus3675112017196868514r_qr_a @ (minus_3375643675566563378r_qr_a @ X5 @ X124))=(minus_3375643675566563378r_qr_a @ X124 @ X5))), inference(split_conjunct,[status(thm)],[c_0_14])). 2.31/2.49 thf(c_0_20, plain, ![X5:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ X5 @ zero_zero_Kyber_qr_a)=(X5))), inference(split_conjunct,[status(thm)],[c_0_15])). 2.31/2.49 thf(c_0_21, negated_conjecture, ~(finite_finite_int @ (image_nat_int @ (comp_F5721690436324261920nt_nat @ (abs_ky7385543178848499077ty_q_a @ q) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ (minus_3375643675566563378r_qr_a @ x @ (kyber_3587082902811259984poly_a @ q @ d @ (kyber_2515840456745678993poly_a @ q @ d @ x)))))) @ top_top_set_nat)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 2.31/2.49 thf(c_0_22, plain, ![X5:kyber_qr_a]:((((finite_finite_int @ (image_nat_int @ (esk251_1 @ X5) @ top_top_set_nat)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16]), c_0_17])). 2.31/2.49 thf(c_0_23, plain, ![X5745:kyber_qr_a, X5746:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ (uminus3675112017196868514r_qr_a @ X5745) @ X5746)=(minus_3375643675566563378r_qr_a @ X5746 @ X5745))), inference(variable_rename,[status(thm)],[fact_953_uminus__add__conv__diff])). 2.31/2.49 thf(c_0_24, plain, ![X5:kyber_qr_a]:(((esk326_1 @ (uminus3675112017196868514r_qr_a @ X5))=(X5))), inference(recongize_injectivity,[status(thm)],[c_0_18])). 2.31/2.49 thf(c_0_25, plain, ![X5:kyber_qr_a]:(((uminus3675112017196868514r_qr_a @ (uminus3675112017196868514r_qr_a @ X5))=(X5))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_13]), c_0_20])). 2.31/2.49 thf(c_0_26, plain, ![X5204:kyber_qr_a, X5205:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ X5204 @ X5205)=(plus_plus_Kyber_qr_a @ X5205 @ X5204))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1024_add_Ocommute])])). 2.31/2.49 thf(c_0_27, plain, ![X5141:finite_mod_ring_a > int, X5142:nat > finite_mod_ring_a, X5143:nat]:(((comp_F5721690436324261920nt_nat @ X5141 @ X5142 @ X5143)=(X5141 @ (X5142 @ X5143)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_104_comp__apply])])). 2.31/2.49 thf(c_0_28, negated_conjecture, ~((finite_finite_int @ (image_nat_int @ (comp_F5721690436324261920nt_nat @ (abs_ky7385543178848499077ty_q_a @ q) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ (minus_3375643675566563378r_qr_a @ x @ (kyber_3587082902811259984poly_a @ q @ d @ (kyber_2515840456745678993poly_a @ q @ d @ x)))))) @ top_top_set_nat))), inference(split_conjunct,[status(thm)],[c_0_21])). 2.31/2.49 thf(c_0_29, plain, ![X5:kyber_qr_a]:((finite_finite_int @ (image_nat_int @ (esk251_1 @ X5) @ top_top_set_nat))), inference(cn,[status(thm)],[c_0_22])). 2.31/2.49 thf(c_0_30, plain, ![X124:kyber_qr_a, X5:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ (uminus3675112017196868514r_qr_a @ X5) @ X124)=(minus_3375643675566563378r_qr_a @ X124 @ X5))), inference(split_conjunct,[status(thm)],[c_0_23])). 2.31/2.49 thf(c_0_31, plain, ![X5:kyber_qr_a]:(((uminus3675112017196868514r_qr_a @ X5)=(esk326_1 @ X5))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 2.31/2.49 thf(c_0_32, plain, ![X7321:kyber_qr_a, X7322:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ X7321 @ X7322)=(plus_plus_Kyber_qr_a @ X7322 @ X7321))), inference(variable_rename,[status(thm)],[c_0_26])). 2.31/2.49 thf(c_0_33, plain, ![X5583:finite_mod_ring_a > int, X5584:nat > finite_mod_ring_a, X5585:nat]:(((comp_F5721690436324261920nt_nat @ X5583 @ X5584 @ X5585)=(X5583 @ (X5584 @ X5585)))), inference(variable_rename,[status(thm)],[c_0_27])). 2.31/2.49 thf(c_0_34, plain, ![X8358:nat, X8359:kyber_qr_a]:(((esk251_1 @ X8359 @ X8358)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X8359) @ X8358)))), inference(variable_rename,[status(thm)],[])). 2.31/2.49 thf(c_0_35, plain, ![X5:kyber_qr_a]:(((comp_F5721690436324261920nt_nat @ (abs_ky7385543178848499077ty_q_a @ q) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ (minus_3375643675566563378r_qr_a @ x @ (kyber_3587082902811259984poly_a @ q @ d @ (kyber_2515840456745678993poly_a @ q @ d @ x))))))!=(esk251_1 @ X5))), inference(ext_sup,[status(thm)],[c_0_28, c_0_29])). 2.31/2.49 thf(c_0_36, plain, ![X124:kyber_qr_a, X5:kyber_qr_a]:(((minus_3375643675566563378r_qr_a @ X5 @ X124)=(plus_plus_Kyber_qr_a @ (esk326_1 @ X124) @ X5))), inference(rw,[status(thm)],[c_0_30, c_0_31])). 2.31/2.49 thf(c_0_37, plain, ![X124:kyber_qr_a, X5:kyber_qr_a]:(((plus_plus_Kyber_qr_a @ X5 @ X124)=(plus_plus_Kyber_qr_a @ X124 @ X5))), inference(split_conjunct,[status(thm)],[c_0_32])). 2.31/2.49 thf(c_0_38, plain, ![X48:finite_mod_ring_a > int, X33:nat > finite_mod_ring_a, X9:nat]:(((comp_F5721690436324261920nt_nat @ X48 @ X33 @ X9)=(X48 @ (X33 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_33])). 2.31/2.49 thf(c_0_39, plain, ![X5:kyber_qr_a, X9:nat]:(((esk251_1 @ X5 @ X9)=(abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ X5) @ X9)))), inference(split_conjunct,[status(thm)],[c_0_34])). 2.31/2.49 thf(c_0_40, plain, ![X5:kyber_qr_a]:(((esk251_1 @ (plus_plus_Kyber_qr_a @ x @ (esk326_1 @ (kyber_3587082902811259984poly_a @ q @ d @ (kyber_2515840456745678993poly_a @ q @ d @ x)))) @ (esk278_1 @ X5))!=(esk251_1 @ X5 @ (esk278_1 @ X5)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39])). 2.31/2.49 thf(c_0_41, plain, ($false), inference(er,[status(thm)],[c_0_40]), ['proof']). 2.31/2.49 # SZS output end CNFRefutation 2.31/2.49 # Parsed axioms : 1612 2.31/2.49 # Removed by relevancy pruning/SinE : 552 2.31/2.49 # Initial clauses : 1751 2.31/2.49 # Removed in clause preprocessing : 65 2.31/2.49 # Initial clauses in saturation : 1686 2.31/2.49 # Processed clauses : 5132 2.31/2.49 # ...of these trivial : 205 2.31/2.49 # ...subsumed : 1531 2.31/2.49 # ...remaining for further processing : 3396 2.31/2.49 # Other redundant clauses eliminated : 1110 2.31/2.49 # Clauses deleted for lack of memory : 0 2.31/2.49 # Backward-subsumed : 8 2.31/2.49 # Backward-rewritten : 234 2.31/2.49 # Generated clauses : 29168 2.31/2.49 # ...of the previous two non-redundant : 25461 2.31/2.49 # ...aggressively subsumed : 0 2.31/2.49 # Contextual simplify-reflections : 2 2.31/2.49 # Paramodulations : 26666 2.31/2.49 # Factorizations : 10 2.31/2.49 # NegExts : 77 2.31/2.49 # Equation resolutions : 1191 2.31/2.49 # Propositional unsat checks : 0 2.31/2.49 # Propositional check models : 0 2.31/2.49 # Propositional check unsatisfiable : 0 2.31/2.49 # Propositional clauses : 0 2.31/2.49 # Propositional clauses after purity: 0 2.31/2.49 # Propositional unsat core size : 0 2.31/2.49 # Propositional preprocessing time : 0.000 2.31/2.49 # Propositional encoding time : 0.000 2.31/2.49 # Propositional solver time : 0.000 2.31/2.49 # Success case prop preproc time : 0.000 2.31/2.49 # Success case prop encoding time : 0.000 2.31/2.49 # Success case prop solver time : 0.000 2.31/2.49 # Current number of processed clauses : 1727 2.31/2.49 # Positive orientable unit clauses : 428 2.31/2.49 # Positive unorientable unit clauses: 32 2.31/2.49 # Negative unit clauses : 157 2.31/2.49 # Non-unit-clauses : 1110 2.31/2.49 # Current number of unprocessed clauses: 23207 2.31/2.49 # ...number of literals in the above : 63931 2.31/2.49 # Current number of archived formulas : 0 2.31/2.49 # Current number of archived clauses : 1479 2.31/2.49 # Clause-clause subsumption calls (NU) : 568453 2.31/2.49 # Rec. Clause-clause subsumption calls : 347327 2.31/2.49 # Non-unit clause-clause subsumptions : 788 2.31/2.49 # Unit Clause-clause subsumption calls : 71951 2.31/2.49 # Rewrite failures with RHS unbound : 36 2.31/2.49 # BW rewrite match attempts : 884 2.31/2.49 # BW rewrite match successes : 338 2.31/2.49 # Condensation attempts : 0 2.31/2.49 # Condensation successes : 0 2.31/2.49 # Termbank termtop insertions : 490760 2.31/2.49 2.31/2.49 # ------------------------------------------------- 2.31/2.49 # User time : 1.757 s 2.31/2.49 # System time : 0.059 s 2.31/2.49 # Total time : 1.816 s 2.31/2.49 # Maximum resident set size: 12728 pages 2.31/2.49 2.31/2.49 # ------------------------------------------------- 2.31/2.49 # User time : 1.810 s 2.31/2.49 # System time : 0.064 s 2.31/2.49 # Total time : 1.874 s 2.31/2.49 # Maximum resident set size: 4828 pages 2.31/2.49 EOF