0.13/0.28 % Problem : SLH0105^1 : TPTP v8.2.0. Released v8.2.0. 0.13/0.29 % Command : run_E %s %d THM 0.29/0.51 % Computer : n011.cluster.edu 0.29/0.51 % Model : x86_64 x86_64 0.29/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.29/0.51 % Memory : 8042.1875MB 0.29/0.51 % OS : Linux 3.10.0-693.el7.x86_64 0.29/0.51 % CPULimit : 30 0.29/0.51 % WCLimit : 30 0.29/0.51 % DateTime : Mon Jul 3 08:52:24 EDT 2023 0.29/0.51 % CPUTime : 0.48/0.64 The problem SPC is TH0_THM_EQU_NAR 0.48/0.64 Running higher-order on 1 cores theorem proving 0.48/0.64 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.JQeTfuMcdK/Vampire---4.8_31950 0.49/0.64 # Version: 3.0pre003-ho 0.49/0.92 # partial match(1): HSLSSMSMSSSNHFA 0.49/0.92 # Preprocessing class: HMLSSMSMSSSNHFA. 0.49/0.92 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.49/0.92 # Starting new_ho_10 with 30s (1) cores 0.49/0.92 # new_ho_10 with pid 32331 completed with status 0 0.49/0.92 # Result found by new_ho_10 0.49/0.92 # partial match(1): HSLSSMSMSSSNHFA 0.49/0.92 # Preprocessing class: HMLSSMSMSSSNHFA. 0.49/0.92 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.49/0.92 # Starting new_ho_10 with 30s (1) cores 0.49/0.92 # No SInE strategy applied 0.49/0.92 # Search class: HGHSM-SMLM32-MHFFFSBC 0.49/0.92 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.49/0.92 # Starting ehoh_best8 with 17s (1) cores 0.49/0.92 # ehoh_best8 with pid 32371 completed with status 0 0.49/0.92 # Result found by ehoh_best8 0.49/0.92 # partial match(1): HSLSSMSMSSSNHFA 0.49/0.92 # Preprocessing class: HMLSSMSMSSSNHFA. 0.49/0.92 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.49/0.92 # Starting new_ho_10 with 30s (1) cores 0.49/0.92 # No SInE strategy applied 0.49/0.92 # Search class: HGHSM-SMLM32-MHFFFSBC 0.49/0.92 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.49/0.92 # Starting ehoh_best8 with 17s (1) cores 0.49/0.92 # Preprocessing time : 0.033 s 0.49/0.92 # Presaturation interreduction done 0.49/0.92 0.49/0.92 # Proof found! 0.49/0.92 # SZS status Theorem 0.49/0.92 # SZS output start CNFRefutation 0.49/0.92 thf(decl_22, type, abs_ky5074908690697402296poly_a: int > kyber_qr_a > int). 0.49/0.92 thf(decl_23, type, abs_ky7385543178848499077ty_q_a: int > finite_mod_ring_a > int). 0.49/0.92 thf(decl_24, type, archim6058952711729229775r_real: real > int). 0.49/0.92 thf(decl_25, type, minus_minus_int: int > int > int). 0.49/0.92 thf(decl_26, type, minus_minus_nat: nat > nat > nat). 0.49/0.92 thf(decl_27, type, minus_minus_real: real > real > real). 0.49/0.92 thf(decl_28, type, one_one_int: int). 0.49/0.92 thf(decl_29, type, one_one_nat: nat). 0.49/0.92 thf(decl_30, type, one_one_real: real). 0.49/0.92 thf(decl_31, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a). 0.49/0.92 thf(decl_32, type, plus_plus_int: int > int > int). 0.49/0.92 thf(decl_33, type, plus_plus_Kyber_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a). 0.49/0.92 thf(decl_34, type, plus_plus_nat: nat > nat > nat). 0.49/0.92 thf(decl_35, type, plus_p7290290253215468682ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 0.49/0.92 thf(decl_36, type, plus_plus_poly_int: poly_int > poly_int > poly_int). 0.49/0.92 thf(decl_37, type, plus_plus_poly_nat: poly_nat > poly_nat > poly_nat). 0.49/0.92 thf(decl_38, type, plus_p7801688469192607896ring_a: poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a > poly_p2573953413498894561ring_a). 0.49/0.92 thf(decl_39, type, plus_p4175760545448422853ly_int: poly_poly_int > poly_poly_int > poly_poly_int). 0.49/0.92 thf(decl_40, type, plus_p6665843690380149609ly_nat: poly_poly_nat > poly_poly_nat > poly_poly_nat). 0.49/0.92 thf(decl_41, type, plus_p8998385535812966597y_real: poly_poly_real > poly_poly_real > poly_poly_real). 0.49/0.92 thf(decl_42, type, plus_plus_poly_real: poly_real > poly_real > poly_real). 0.49/0.92 thf(decl_43, type, plus_plus_real: real > real > real). 0.49/0.92 thf(decl_44, type, times_times_real: real > real > real). 0.49/0.92 thf(decl_45, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a). 0.49/0.92 thf(decl_46, type, uminus_uminus_int: int > int). 0.49/0.92 thf(decl_47, type, uminus3675112017196868514r_qr_a: kyber_qr_a > kyber_qr_a). 0.49/0.92 thf(decl_48, type, uminus6490753114102738890ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a). 0.49/0.92 thf(decl_49, type, uminus6443632714710767741ly_int: poly_int > poly_int). 0.49/0.92 thf(decl_50, type, uminus3130843302823231997y_real: poly_real > poly_real). 0.49/0.92 thf(decl_51, type, uminus_uminus_real: real > real). 0.49/0.92 thf(decl_52, type, zero_z7902377541816115708ring_a: finite_mod_ring_a). 0.49/0.92 thf(decl_53, type, zero_zero_int: int). 0.49/0.92 thf(decl_54, type, zero_zero_Kyber_qr_a: kyber_qr_a). 0.49/0.92 thf(decl_55, type, zero_zero_nat: nat). 0.49/0.92 thf(decl_56, type, zero_z1830546546923837194ring_a: poly_F3299452240248304339ring_a). 0.49/0.92 thf(decl_57, type, zero_zero_poly_int: poly_int). 0.49/0.92 thf(decl_58, type, zero_z2078993987043428202r_qr_a: poly_Kyber_qr_a). 0.49/0.92 thf(decl_59, type, zero_zero_poly_nat: poly_nat). 0.49/0.92 thf(decl_60, type, zero_zero_poly_real: poly_real). 0.49/0.92 thf(decl_61, type, zero_zero_real: real). 0.49/0.92 thf(decl_62, type, if_nat: $o > nat > nat > nat). 0.49/0.92 thf(decl_63, type, nat2: int > nat). 0.49/0.92 thf(decl_64, type, ring_1_of_int_real: int > real). 0.49/0.92 thf(decl_65, type, kyber_of_qr_a: kyber_qr_a > poly_F3299452240248304339ring_a). 0.49/0.92 thf(decl_66, type, suc: nat > nat). 0.49/0.92 thf(decl_67, type, semiri1314217659103216013at_int: nat > int). 0.49/0.92 thf(decl_68, type, semiri5074537144036343181t_real: nat > real). 0.49/0.92 thf(decl_69, type, ord_less_int: int > int > $o). 0.49/0.92 thf(decl_70, type, ord_less_nat: nat > nat > $o). 0.49/0.92 thf(decl_71, type, ord_less_poly_int: poly_int > poly_int > $o). 0.49/0.92 thf(decl_72, type, ord_less_poly_real: poly_real > poly_real > $o). 0.49/0.92 thf(decl_73, type, ord_less_real: real > real > $o). 0.49/0.92 thf(decl_74, type, ord_less_eq_int: int > int > $o). 0.49/0.92 thf(decl_75, type, ord_less_eq_nat: nat > nat > $o). 0.49/0.92 thf(decl_76, type, ord_less_eq_poly_int: poly_int > poly_int > $o). 0.49/0.92 thf(decl_77, type, ord_le5818049233195283092y_real: poly_real > poly_real > $o). 0.49/0.92 thf(decl_78, type, ord_less_eq_real: real > real > $o). 0.49/0.92 thf(decl_79, type, coeff_1607515655354303335ring_a: poly_F3299452240248304339ring_a > nat > finite_mod_ring_a). 0.49/0.92 thf(decl_80, type, coeff_int: poly_int > nat > int). 0.49/0.92 thf(decl_81, type, coeff_Kyber_qr_a: poly_Kyber_qr_a > nat > kyber_qr_a). 0.49/0.92 thf(decl_82, type, coeff_nat: poly_nat > nat > nat). 0.49/0.92 thf(decl_83, type, coeff_7919988552178873973ring_a: poly_p2573953413498894561ring_a > nat > poly_F3299452240248304339ring_a). 0.49/0.92 thf(decl_84, type, coeff_poly_int: poly_poly_int > nat > poly_int). 0.49/0.92 thf(decl_85, type, coeff_poly_nat: poly_poly_nat > nat > poly_nat). 0.49/0.92 thf(decl_86, type, coeff_poly_real: poly_poly_real > nat > poly_real). 0.49/0.92 thf(decl_87, type, coeff_real: poly_real > nat > real). 0.49/0.92 thf(decl_88, type, n: int). 0.49/0.92 thf(decl_89, type, n2: nat). 0.49/0.92 thf(decl_90, type, q: int). 0.49/0.92 thf(decl_91, type, x: kyber_qr_a). 0.49/0.92 thf(decl_92, type, xa: nat). 0.49/0.92 thf(decl_93, type, y: kyber_qr_a). 0.49/0.92 thf(decl_94, type, esk1_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_95, type, esk2_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_96, type, esk3_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_97, type, esk4_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_98, type, esk5_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_99, type, esk6_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_100, type, esk7_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_101, type, esk8_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_102, type, esk9_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_103, type, esk10_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_104, type, esk11_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_105, type, esk12_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_106, type, esk13_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_107, type, esk14_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_108, type, esk15_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_109, type, esk16_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_110, type, esk17_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_111, type, esk18_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_112, type, esk19_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_113, type, esk20_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_114, type, esk21_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_115, type, esk22_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_116, type, esk23_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_117, type, esk24_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_118, type, esk25_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_119, type, esk26_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_120, type, esk27_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_121, type, esk28_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_122, type, esk29_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_123, type, esk30_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_124, type, esk31_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_125, type, esk32_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_126, type, esk33_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_127, type, esk34_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_128, type, esk35_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_129, type, esk36_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_130, type, esk37_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_131, type, esk38_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_132, type, esk39_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_133, type, esk40_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_134, type, esk41_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_135, type, esk42_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_136, type, esk43_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_137, type, esk44_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_138, type, esk45_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_139, type, esk46_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_140, type, esk47_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_141, type, esk48_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_142, type, esk49_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_143, type, esk50_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_144, type, esk51_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_145, type, esk52_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_146, type, esk53_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_147, type, esk54_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_148, type, esk55_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_149, type, esk56_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_150, type, esk57_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_151, type, esk58_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_152, type, esk59_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_153, type, esk60_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_154, type, esk61_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_155, type, esk62_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_156, type, esk63_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_157, type, esk64_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_158, type, esk65_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_159, type, esk66_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_160, type, esk67_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_161, type, esk68_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_162, type, esk69_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_163, type, esk70_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_164, type, esk71_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_165, type, esk72_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_166, type, esk73_1: (int > int > $o) > int). 0.49/0.92 thf(decl_167, type, esk74_1: (int > int > $o) > int). 0.49/0.92 thf(decl_168, type, esk75_1: (int > int > $o) > int). 0.49/0.92 thf(decl_169, type, esk76_1: (int > int > $o) > int). 0.49/0.92 thf(decl_170, type, esk77_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_171, type, esk78_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_172, type, esk79_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_173, type, esk80_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_174, type, esk81_1: (real > real > $o) > real). 0.49/0.92 thf(decl_175, type, esk82_1: (real > real > $o) > real). 0.49/0.92 thf(decl_176, type, esk83_1: (real > real > $o) > real). 0.49/0.92 thf(decl_177, type, esk84_1: (real > real > $o) > real). 0.49/0.92 thf(decl_178, type, esk85_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 0.49/0.92 thf(decl_179, type, esk86_2: poly_real > poly_real > nat). 0.49/0.92 thf(decl_180, type, esk87_2: poly_nat > poly_nat > nat). 0.49/0.92 thf(decl_181, type, esk88_2: poly_int > poly_int > nat). 0.49/0.92 thf(decl_182, type, esk89_2: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat). 0.49/0.92 thf(decl_183, type, esk90_2: poly_real > poly_real > nat). 0.49/0.92 thf(decl_184, type, esk91_2: poly_nat > poly_nat > nat). 0.49/0.92 thf(decl_185, type, esk92_2: poly_int > poly_int > nat). 0.49/0.92 thf(decl_186, type, esk93_2: nat > nat > nat). 0.49/0.92 thf(decl_187, type, esk94_2: nat > nat > nat). 0.49/0.92 thf(decl_188, type, esk95_1: int > int). 0.49/0.92 thf(decl_189, type, esk96_1: real > real). 0.49/0.92 thf(decl_190, type, esk97_1: int > int). 0.49/0.92 thf(decl_191, type, esk98_1: nat > nat). 0.49/0.92 thf(decl_192, type, esk99_1: real > real). 0.49/0.92 thf(decl_193, type, esk100_2: real > real > real). 0.49/0.92 thf(decl_194, type, esk101_1: (nat > $o) > nat). 0.49/0.92 thf(decl_195, type, esk102_1: (nat > $o) > nat). 0.49/0.92 thf(decl_196, type, esk103_2: (nat > $o) > nat > nat). 0.49/0.92 thf(decl_197, type, esk104_1: (nat > $o) > nat). 0.49/0.92 thf(decl_198, type, esk105_1: (int > int > $o) > int). 0.49/0.92 thf(decl_199, type, esk106_1: (int > int > $o) > int). 0.49/0.92 thf(decl_200, type, esk107_1: (int > int > $o) > int). 0.49/0.92 thf(decl_201, type, esk108_1: (int > int > $o) > int). 0.49/0.92 thf(decl_202, type, esk109_1: (int > int > $o) > int). 0.49/0.92 thf(decl_203, type, esk110_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_204, type, esk111_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_205, type, esk112_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_206, type, esk113_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_207, type, esk114_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_208, type, esk115_1: (real > real > $o) > real). 0.49/0.92 thf(decl_209, type, esk116_1: (real > real > $o) > real). 0.49/0.92 thf(decl_210, type, esk117_1: (real > real > $o) > real). 0.49/0.92 thf(decl_211, type, esk118_1: (real > real > $o) > real). 0.49/0.92 thf(decl_212, type, esk119_1: (real > real > $o) > real). 0.49/0.92 thf(decl_213, type, esk120_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_214, type, esk121_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_215, type, esk122_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_216, type, esk123_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_217, type, esk124_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_218, type, esk125_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_219, type, esk126_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_220, type, esk127_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_221, type, esk128_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_222, type, esk129_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_223, type, esk130_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_224, type, esk131_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_225, type, esk132_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_226, type, esk133_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_227, type, esk134_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_228, type, esk135_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_229, type, esk136_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_230, type, esk137_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_231, type, esk138_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_232, type, esk139_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_233, type, esk140_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_234, type, esk141_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_235, type, esk142_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_236, type, esk143_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_237, type, esk144_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_238, type, esk145_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_239, type, esk146_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_240, type, esk147_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_241, type, esk148_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_242, type, esk149_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_243, type, esk150_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_244, type, esk151_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_245, type, esk152_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_246, type, esk153_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_247, type, esk154_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_248, type, esk155_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_249, type, esk156_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_250, type, esk157_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_251, type, esk158_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_252, type, esk159_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_253, type, esk160_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_254, type, esk161_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_255, type, esk162_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_256, type, esk163_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_257, type, esk164_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_258, type, esk165_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_259, type, esk166_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_260, type, esk167_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_261, type, esk168_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_262, type, esk169_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_263, type, esk170_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_264, type, esk171_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_265, type, esk172_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_266, type, esk173_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_267, type, esk174_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_268, type, esk175_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_269, type, esk176_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_270, type, esk177_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_271, type, esk178_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_272, type, esk179_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_273, type, esk180_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_274, type, esk181_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_275, type, esk182_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_276, type, esk183_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_277, type, esk184_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_278, type, esk185_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_279, type, esk186_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_280, type, esk187_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_281, type, esk188_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_282, type, esk189_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_283, type, esk190_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_284, type, esk191_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_285, type, esk192_2: real > real > real). 0.49/0.92 thf(decl_286, type, esk193_2: real > real > real). 0.49/0.92 thf(decl_287, type, esk194_3: real > real > real > real). 0.49/0.92 thf(decl_288, type, esk195_3: real > real > real > real). 0.49/0.92 thf(decl_289, type, esk196_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_290, type, esk197_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_291, type, esk198_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_292, type, esk199_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_293, type, esk200_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_294, type, esk201_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_295, type, esk202_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_296, type, esk203_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_297, type, esk204_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_298, type, esk205_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_299, type, esk206_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_300, type, esk207_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_301, type, esk208_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_302, type, esk209_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_303, type, esk210_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_304, type, esk211_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_305, type, esk212_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_306, type, esk213_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_307, type, esk214_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_308, type, esk215_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_309, type, esk216_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_310, type, esk217_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_311, type, esk218_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_312, type, esk219_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_313, type, esk220_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_314, type, esk221_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_315, type, esk222_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_316, type, esk223_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_317, type, esk224_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_318, type, esk225_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_319, type, esk226_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_320, type, esk227_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_321, type, esk228_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_322, type, esk229_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_323, type, esk230_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_324, type, esk231_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_325, type, esk232_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_326, type, esk233_4: int > (int > int) > int > int > int). 0.49/0.92 thf(decl_327, type, esk234_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_328, type, esk235_4: nat > (int > nat) > int > int > int). 0.49/0.92 thf(decl_329, type, esk236_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_330, type, esk237_4: real > (int > real) > int > int > int). 0.49/0.92 thf(decl_331, type, esk238_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_332, type, esk239_4: int > (nat > int) > nat > nat > nat). 0.49/0.92 thf(decl_333, type, esk240_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_334, type, esk241_4: nat > (nat > nat) > nat > nat > nat). 0.49/0.92 thf(decl_335, type, esk242_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_336, type, esk243_4: real > (nat > real) > nat > nat > nat). 0.49/0.92 thf(decl_337, type, esk244_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_338, type, esk245_4: int > (real > int) > real > real > real). 0.49/0.92 thf(decl_339, type, esk246_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_340, type, esk247_4: nat > (real > nat) > real > real > real). 0.49/0.92 thf(decl_341, type, esk248_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_342, type, esk249_4: real > (real > real) > real > real > real). 0.49/0.92 thf(decl_343, type, esk250_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_344, type, esk251_4: int > int > (int > int) > int > int). 0.49/0.92 thf(decl_345, type, esk252_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_346, type, esk253_4: nat > nat > (nat > int) > int > nat). 0.49/0.92 thf(decl_347, type, esk254_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_348, type, esk255_4: real > real > (real > int) > int > real). 0.49/0.92 thf(decl_349, type, esk256_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_350, type, esk257_4: int > int > (int > nat) > nat > int). 0.49/0.92 thf(decl_351, type, esk258_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_352, type, esk259_4: nat > nat > (nat > nat) > nat > nat). 0.49/0.92 thf(decl_353, type, esk260_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_354, type, esk261_4: real > real > (real > nat) > nat > real). 0.49/0.92 thf(decl_355, type, esk262_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_356, type, esk263_4: int > int > (int > real) > real > int). 0.49/0.92 thf(decl_357, type, esk264_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_358, type, esk265_4: nat > nat > (nat > real) > real > nat). 0.49/0.92 thf(decl_359, type, esk266_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_360, type, esk267_4: real > real > (real > real) > real > real). 0.49/0.92 thf(decl_361, type, esk268_3: int > int > (int > $o) > int). 0.49/0.92 thf(decl_362, type, esk269_3: int > int > (int > $o) > int). 0.49/0.92 thf(decl_363, type, esk270_2: nat > nat > nat). 0.49/0.92 thf(decl_364, type, esk271_2: nat > nat > nat). 0.49/0.92 thf(decl_365, type, esk272_1: (nat > $o) > nat). 0.49/0.92 thf(decl_366, type, esk273_1: (nat > $o) > nat). 0.49/0.92 thf(decl_367, type, esk274_1: (nat > nat) > nat). 0.49/0.92 thf(decl_368, type, esk275_1: (nat > nat) > nat). 0.49/0.92 thf(decl_369, type, esk276_1: (nat > nat) > nat). 0.49/0.92 thf(decl_370, type, esk277_1: (nat > nat) > nat). 0.49/0.92 thf(decl_371, type, esk278_2: nat > nat > nat). 0.49/0.92 thf(decl_372, type, esk279_1: (nat > $o) > nat). 0.49/0.92 thf(decl_373, type, esk280_2: (nat > $o) > nat > nat). 0.49/0.92 thf(decl_374, type, esk281_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_375, type, esk282_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_376, type, esk283_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_377, type, esk284_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_378, type, esk285_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_379, type, esk286_2: (nat > $o) > nat > nat). 0.49/0.92 thf(decl_380, type, esk287_1: (nat > $o) > nat). 0.49/0.92 thf(decl_381, type, esk288_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_382, type, esk289_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_383, type, esk290_2: nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_384, type, esk291_2: nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_385, type, esk292_3: nat > (nat > nat > $o) > nat > nat). 0.49/0.92 thf(decl_386, type, esk293_1: int > nat). 0.49/0.92 thf(decl_387, type, esk294_1: int > nat). 0.49/0.92 thf(decl_388, type, esk295_1: int > nat). 0.49/0.92 thf(decl_389, type, esk296_1: int > nat). 0.49/0.92 thf(decl_390, type, esk297_1: int > nat). 0.49/0.92 thf(decl_391, type, esk298_2: int > int > nat). 0.49/0.92 thf(decl_392, type, esk299_1: int > nat). 0.49/0.92 thf(decl_393, type, esk300_1: int > nat). 0.49/0.92 thf(decl_394, type, esk301_1: int > nat). 0.49/0.92 thf(decl_395, type, esk302_1: int > nat). 0.49/0.92 thf(decl_396, type, esk303_1: int > nat). 0.49/0.92 thf(decl_397, type, esk304_1: int > nat). 0.49/0.92 thf(decl_398, type, esk305_1: int > nat). 0.49/0.92 thf(decl_399, type, esk306_1: (nat > $o) > int). 0.49/0.92 thf(decl_400, type, esk307_1: (nat > $o) > nat). 0.49/0.92 thf(decl_401, type, esk308_1: (nat > $o) > nat). 0.49/0.92 thf(decl_402, type, esk309_1: (nat > $o) > int). 0.49/0.92 thf(decl_403, type, esk310_2: (nat > $o) > int > nat). 0.49/0.92 thf(decl_404, type, esk311_1: (nat > $o) > nat). 0.49/0.92 thf(decl_405, type, esk312_3: nat > nat > (nat > $o) > nat). 0.49/0.92 thf(decl_406, type, esk313_3: nat > nat > (nat > $o) > nat). 0.49/0.92 thf(decl_407, type, esk314_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_408, type, esk315_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_409, type, esk316_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_410, type, esk317_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_411, type, esk318_2: nat > nat > nat). 0.49/0.92 thf(decl_412, type, esk319_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_413, type, esk320_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_414, type, esk321_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_415, type, esk322_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_416, type, esk323_2: nat > nat > nat). 0.49/0.92 thf(decl_417, type, esk324_2: nat > nat > nat). 0.49/0.92 thf(decl_418, type, esk325_1: nat > nat). 0.49/0.92 thf(decl_419, type, esk326_1: (nat > $o) > nat). 0.49/0.92 thf(decl_420, type, esk327_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_421, type, esk328_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_422, type, esk329_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_423, type, esk330_1: (nat > nat > $o) > nat). 0.49/0.92 thf(decl_424, type, esk331_1: (nat > $o) > nat). 0.49/0.92 thf(decl_425, type, esk332_1: nat > nat). 0.49/0.92 thf(decl_426, type, esk333_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_427, type, esk334_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_428, type, esk335_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_429, type, esk336_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_430, type, esk337_3: nat > nat > (nat > nat > $o) > nat). 0.49/0.92 thf(decl_431, type, esk338_3: nat > nat > (nat > $o) > nat). 0.49/0.92 thf(decl_432, type, esk339_1: (nat > $o) > nat). 0.49/0.92 thf(decl_433, type, esk340_2: nat > nat > nat). 0.49/0.92 thf(decl_434, type, esk341_1: nat > nat). 0.49/0.92 thf(decl_435, type, esk342_1: nat > nat). 0.49/0.92 thf(decl_436, type, esk343_2: nat > nat > nat). 0.49/0.92 thf(decl_437, type, esk344_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_438, type, esk345_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_439, type, esk346_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_440, type, esk347_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_441, type, esk348_1: (nat > $o) > nat). 0.49/0.92 thf(decl_442, type, esk349_3: nat > nat > (nat > $o) > nat). 0.49/0.92 thf(decl_443, type, esk350_3: nat > nat > (nat > $o) > nat). 0.49/0.92 thf(decl_444, type, esk351_2: nat > nat > nat). 0.49/0.92 thf(decl_445, type, esk352_2: nat > nat > nat). 0.49/0.92 thf(decl_446, type, esk353_2: nat > nat > nat). 0.49/0.92 thf(decl_447, type, esk354_1: int > nat). 0.49/0.92 thf(decl_448, type, esk355_1: int > nat). 0.49/0.92 thf(decl_449, type, esk356_1: (int > $o) > nat). 0.49/0.92 thf(decl_450, type, esk357_1: (int > $o) > nat). 0.49/0.92 thf(decl_451, type, esk358_2: (nat > $o) > nat > nat). 0.49/0.92 thf(decl_452, type, esk359_2: nat > (nat > $o) > nat). 0.49/0.92 thf(decl_453, type, esk360_2: int > int > nat). 0.49/0.92 thf(decl_454, type, esk361_1: int > nat). 0.49/0.92 thf(decl_455, type, esk362_2: real > real > nat). 0.49/0.92 thf(decl_456, type, esk363_3: int > int > (int > $o) > int). 0.49/0.92 thf(decl_457, type, esk364_3: int > int > (int > $o) > int). 0.49/0.92 thf(decl_458, type, esk365_2: (nat > $o) > nat > nat). 0.49/0.92 thf(decl_459, type, esk366_1: int > nat). 0.49/0.92 thf(decl_460, type, esk367_1: int > nat). 0.49/0.92 thf(conj_0, conjecture, (ord_less_eq_int @ (abs_ky7385543178848499077ty_q_a @ q @ (plus_p6165643967897163644ring_a @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))) @ (plus_plus_int @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa)) @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa)))), file('/export/starexec/sandbox/tmp/tmp.JQeTfuMcdK/Vampire---4.8_31950', conj_0)). 0.49/0.92 thf(fact_0__092_060open_062abs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_A_L_Apoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_A_092_060le_062_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_J_A_L_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_092_060close_062, axiom, (ord_less_eq_int @ (abs_ky7385543178848499077ty_q_a @ q @ (plus_p6165643967897163644ring_a @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))) @ (plus_plus_int @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa)) @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa)))), file('/export/starexec/sandbox/tmp/tmp.JQeTfuMcdK/Vampire---4.8_31950', fact_0__092_060open_062abs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_A_L_Apoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_A_092_060le_062_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_J_A_L_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_092_060close_062)). 0.49/0.92 thf(c_0_2, negated_conjecture, ~(ord_less_eq_int @ (abs_ky7385543178848499077ty_q_a @ q @ (plus_p6165643967897163644ring_a @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))) @ (plus_plus_int @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa)) @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.49/0.92 thf(c_0_3, plain, (ord_less_eq_int @ (abs_ky7385543178848499077ty_q_a @ q @ (plus_p6165643967897163644ring_a @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))) @ (plus_plus_int @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa)) @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa)))), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062abs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_A_L_Apoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_A_092_060le_062_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ax_J_Axa_J_A_L_Aabs__infty__q_A_Ipoly_Ocoeff_A_Iof__qr_Ay_J_Axa_J_092_060close_062])). 0.49/0.92 thf(c_0_4, negated_conjecture, ~((ord_less_eq_int @ (abs_ky7385543178848499077ty_q_a @ q @ (plus_p6165643967897163644ring_a @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa) @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))) @ (plus_plus_int @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ x) @ xa)) @ (abs_ky7385543178848499077ty_q_a @ q @ (coeff_1607515655354303335ring_a @ (kyber_of_qr_a @ y) @ xa))))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.49/0.92 thf(c_0_5, plain, ($false), inference(sr,[status(thm)],[c_0_3, c_0_4]), ['proof']). 0.49/0.92 # SZS output end CNFRefutation 0.49/0.92 # Parsed axioms : 1356 0.49/0.92 # Removed by relevancy pruning/SinE : 0 0.49/0.92 # Initial clauses : 2307 0.49/0.92 # Removed in clause preprocessing : 193 0.49/0.92 # Initial clauses in saturation : 2114 0.49/0.92 # Processed clauses : 59 0.49/0.92 # ...of these trivial : 4 0.49/0.92 # ...subsumed : 21 0.49/0.92 # ...remaining for further processing : 33 0.49/0.92 # Other redundant clauses eliminated : 4 0.49/0.92 # Clauses deleted for lack of memory : 0 0.49/0.92 # Backward-subsumed : 1 0.49/0.92 # Backward-rewritten : 1 0.49/0.92 # Generated clauses : 4 0.49/0.92 # ...of the previous two non-redundant : 4 0.49/0.92 # ...aggressively subsumed : 0 0.49/0.92 # Contextual simplify-reflections : 0 0.49/0.92 # Paramodulations : 0 0.49/0.92 # Factorizations : 0 0.49/0.92 # NegExts : 0 0.49/0.92 # Equation resolutions : 4 0.49/0.92 # Propositional unsat checks : 0 0.49/0.92 # Propositional check models : 0 0.49/0.92 # Propositional check unsatisfiable : 0 0.49/0.92 # Propositional clauses : 0 0.49/0.92 # Propositional clauses after purity: 0 0.49/0.92 # Propositional unsat core size : 0 0.49/0.92 # Propositional preprocessing time : 0.000 0.49/0.92 # Propositional encoding time : 0.000 0.49/0.92 # Propositional solver time : 0.000 0.49/0.92 # Success case prop preproc time : 0.000 0.49/0.92 # Success case prop encoding time : 0.000 0.49/0.92 # Success case prop solver time : 0.000 0.49/0.92 # Current number of processed clauses : 27 0.49/0.92 # Positive orientable unit clauses : 16 0.49/0.92 # Positive unorientable unit clauses: 0 0.49/0.92 # Negative unit clauses : 10 0.49/0.92 # Non-unit-clauses : 1 0.49/0.92 # Current number of unprocessed clauses: 2059 0.49/0.92 # ...number of literals in the above : 5401 0.49/0.92 # Current number of archived formulas : 0 0.49/0.92 # Current number of archived clauses : 2 0.49/0.92 # Clause-clause subsumption calls (NU) : 0 0.49/0.92 # Rec. Clause-clause subsumption calls : 0 0.49/0.92 # Non-unit clause-clause subsumptions : 0 0.49/0.92 # Unit Clause-clause subsumption calls : 15 0.49/0.92 # Rewrite failures with RHS unbound : 0 0.49/0.92 # BW rewrite match attempts : 2 0.49/0.92 # BW rewrite match successes : 1 0.49/0.92 # Condensation attempts : 0 0.49/0.92 # Condensation successes : 0 0.49/0.92 # Termbank termtop insertions : 139862 0.49/0.92 0.49/0.92 # ------------------------------------------------- 0.49/0.92 # User time : 0.201 s 0.49/0.92 # System time : 0.024 s 0.49/0.92 # Total time : 0.224 s 0.49/0.92 # Maximum resident set size: 12328 pages 0.49/0.92 0.49/0.92 # ------------------------------------------------- 0.49/0.92 # User time : 0.250 s 0.49/0.92 # System time : 0.031 s 0.49/0.92 # Total time : 0.281 s 0.49/0.92 # Maximum resident set size: 4556 pages 0.49/0.92 EOF