0.11/0.26 % Problem : SLH0126^1 : TPTP v8.2.0. Released v8.2.0. 0.11/0.27 % Command : run_E %s %d THM 0.27/0.48 % Computer : n005.cluster.edu 0.27/0.48 % Model : x86_64 x86_64 0.27/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.27/0.48 % Memory : 8042.1875MB 0.27/0.48 % OS : Linux 3.10.0-693.el7.x86_64 0.27/0.48 % CPULimit : 30 0.27/0.48 % WCLimit : 30 0.27/0.48 % DateTime : Mon Jul 3 09:56:15 EDT 2023 0.33/0.48 % CPUTime : 0.40/0.60 The problem SPC is TH0_THM_EQU_NAR 0.40/0.60 Running higher-order on 1 cores theorem proving 0.40/0.60 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.iA34EoyGYa/Vampire---4.8_24215 0.40/0.61 # Version: 3.0pre003-ho 3.94/4.14 # Preprocessing class: HMLMSMSMSSLCHSA. 3.94/4.14 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.94/4.14 # Starting new_ho_10 with 30s (1) cores 3.94/4.14 # new_ho_10 with pid 24398 completed with status 0 3.94/4.14 # Result found by new_ho_10 3.94/4.14 # Preprocessing class: HMLMSMSMSSLCHSA. 3.94/4.14 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.94/4.14 # Starting new_ho_10 with 30s (1) cores 3.94/4.14 # No SInE strategy applied 3.94/4.14 # Search class: HGHSM-SMLM32-MHSFFFBC 3.94/4.14 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 3.94/4.14 # Starting ho_unfolding_8 with 17s (1) cores 3.94/4.14 # ho_unfolding_8 with pid 24399 completed with status 0 3.94/4.14 # Result found by ho_unfolding_8 3.94/4.14 # Preprocessing class: HMLMSMSMSSLCHSA. 3.94/4.14 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.94/4.14 # Starting new_ho_10 with 30s (1) cores 3.94/4.14 # No SInE strategy applied 3.94/4.14 # Search class: HGHSM-SMLM32-MHSFFFBC 3.94/4.14 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 3.94/4.14 # Starting ho_unfolding_8 with 17s (1) cores 3.94/4.14 # Preprocessing time : 0.043 s 3.94/4.14 # Presaturation interreduction done 3.94/4.14 3.94/4.14 # Proof found! 3.94/4.14 # SZS status Theorem 3.94/4.14 # SZS output start CNFRefutation 3.94/4.14 thf(decl_22, type, finite_card_int: set_int > nat). 3.94/4.14 thf(decl_23, type, finite_card_nat: set_nat > nat). 3.94/4.14 thf(decl_24, type, finite_card_real: set_real > nat). 3.94/4.14 thf(decl_25, type, finite_card_set_a: set_set_a > nat). 3.94/4.14 thf(decl_26, type, finite_card_a: set_a > nat). 3.94/4.14 thf(decl_27, type, finite_finite_int: set_int > $o). 3.94/4.14 thf(decl_28, type, finite_finite_nat: set_nat > $o). 3.94/4.14 thf(decl_29, type, finite_finite_real: set_real > $o). 3.94/4.14 thf(decl_30, type, finite_finite_set_a: set_set_a > $o). 3.94/4.14 thf(decl_31, type, finite_finite_a: set_a > $o). 3.94/4.14 thf(decl_32, type, minus_minus_int: int > int > int). 3.94/4.14 thf(decl_33, type, minus_minus_nat: nat > nat > nat). 3.94/4.14 thf(decl_34, type, minus_minus_real: real > real > real). 3.94/4.14 thf(decl_35, type, minus_5736297505244876581_set_a: set_set_a > set_set_a > set_set_a). 3.94/4.14 thf(decl_36, type, minus_minus_set_a: set_a > set_a > set_a). 3.94/4.14 thf(decl_37, type, times_times_int: int > int > int). 3.94/4.14 thf(decl_38, type, times_times_nat: nat > nat > nat). 3.94/4.14 thf(decl_39, type, times_times_real: real > real > real). 3.94/4.14 thf(decl_40, type, zero_zero_int: int). 3.94/4.14 thf(decl_41, type, zero_zero_nat: nat). 3.94/4.14 thf(decl_42, type, zero_zero_real: real). 3.94/4.14 thf(decl_43, type, if_nat: $o > nat > nat > nat). 3.94/4.14 thf(decl_44, type, inf_inf_int: int > int > int). 3.94/4.14 thf(decl_45, type, inf_inf_nat: nat > nat > nat). 3.94/4.14 thf(decl_46, type, inf_inf_real: real > real > real). 3.94/4.14 thf(decl_47, type, inf_inf_set_int: set_int > set_int > set_int). 3.94/4.14 thf(decl_48, type, inf_inf_set_nat: set_nat > set_nat > set_nat). 3.94/4.14 thf(decl_49, type, inf_inf_set_real: set_real > set_real > set_real). 3.94/4.14 thf(decl_50, type, inf_inf_set_set_a: set_set_a > set_set_a > set_set_a). 3.94/4.14 thf(decl_51, type, inf_inf_set_a: set_a > set_a > set_a). 3.94/4.14 thf(decl_52, type, sup_sup_int: int > int > int). 3.94/4.14 thf(decl_53, type, sup_sup_nat: nat > nat > nat). 3.94/4.14 thf(decl_54, type, sup_sup_real: real > real > real). 3.94/4.14 thf(decl_55, type, sup_sup_set_int: set_int > set_int > set_int). 3.94/4.14 thf(decl_56, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 3.94/4.14 thf(decl_57, type, sup_sup_set_real: set_real > set_real > set_real). 3.94/4.14 thf(decl_58, type, sup_sup_set_set_a: set_set_a > set_set_a > set_set_a). 3.94/4.14 thf(decl_59, type, sup_sup_set_a: set_a > set_a > set_a). 3.94/4.14 thf(decl_60, type, lattic8718645017227715691in_int: set_int > int). 3.94/4.14 thf(decl_61, type, lattic8721135487736765967in_nat: set_nat > nat). 3.94/4.14 thf(decl_62, type, lattic3629708407755379051n_real: set_real > real). 3.94/4.14 thf(decl_63, type, semiri1314217659103216013at_int: nat > int). 3.94/4.14 thf(decl_64, type, semiri1316708129612266289at_nat: nat > nat). 3.94/4.14 thf(decl_65, type, semiri5074537144036343181t_real: nat > real). 3.94/4.14 thf(decl_66, type, bot_bot_int_o: int > $o). 3.94/4.14 thf(decl_67, type, bot_bot_nat_o: nat > $o). 3.94/4.14 thf(decl_68, type, bot_bot_real_o: real > $o). 3.94/4.14 thf(decl_69, type, bot_bot_set_a_o: set_a > $o). 3.94/4.14 thf(decl_70, type, bot_bot_a_o: a > $o). 3.94/4.14 thf(decl_71, type, bot_bot_nat: nat). 3.94/4.14 thf(decl_72, type, bot_bot_set_int: set_int). 3.94/4.14 thf(decl_73, type, bot_bot_set_nat: set_nat). 3.94/4.14 thf(decl_74, type, bot_bot_set_real: set_real). 3.94/4.14 thf(decl_75, type, bot_bot_set_set_a: set_set_a). 3.94/4.14 thf(decl_76, type, bot_bot_set_a: set_a). 3.94/4.14 thf(decl_77, type, ord_less_int: int > int > $o). 3.94/4.14 thf(decl_78, type, ord_less_nat: nat > nat > $o). 3.94/4.14 thf(decl_79, type, ord_less_real: real > real > $o). 3.94/4.14 thf(decl_80, type, ord_less_set_real: set_real > set_real > $o). 3.94/4.14 thf(decl_81, type, ord_less_set_set_a: set_set_a > set_set_a > $o). 3.94/4.14 thf(decl_82, type, ord_less_set_a: set_a > set_a > $o). 3.94/4.14 thf(decl_83, type, ord_less_eq_int: int > int > $o). 3.94/4.14 thf(decl_84, type, ord_less_eq_nat: nat > nat > $o). 3.94/4.14 thf(decl_85, type, ord_less_eq_real: real > real > $o). 3.94/4.14 thf(decl_86, type, ord_less_eq_set_int: set_int > set_int > $o). 3.94/4.14 thf(decl_87, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 3.94/4.14 thf(decl_88, type, ord_less_eq_set_real: set_real > set_real > $o). 3.94/4.14 thf(decl_89, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o). 3.94/4.14 thf(decl_90, type, ord_less_eq_set_a: set_a > set_a > $o). 3.94/4.14 thf(decl_91, type, pluenn3038260743871226533mset_a: set_a > (a > a > a) > set_a > set_a > set_a). 3.94/4.14 thf(decl_92, type, pluenn895083305082786853setp_a: set_a > (a > a > a) > (a > $o) > (a > $o) > a > $o). 3.94/4.14 thf(decl_93, type, divide_divide_int: int > int > int). 3.94/4.14 thf(decl_94, type, divide_divide_nat: nat > nat > nat). 3.94/4.14 thf(decl_95, type, divide_divide_real: real > real > real). 3.94/4.14 thf(decl_96, type, collect_int: (int > $o) > set_int). 3.94/4.14 thf(decl_97, type, collect_nat: (nat > $o) > set_nat). 3.94/4.14 thf(decl_98, type, collect_real: (real > $o) > set_real). 3.94/4.14 thf(decl_99, type, collect_set_a: (set_a > $o) > set_set_a). 3.94/4.14 thf(decl_100, type, collect_a: (a > $o) > set_a). 3.94/4.14 thf(decl_101, type, pow_a: set_a > set_set_a). 3.94/4.14 thf(decl_102, type, image_set_a_real: (set_a > real) > set_set_a > set_real). 3.94/4.14 thf(decl_103, type, insert_int: int > set_int > set_int). 3.94/4.14 thf(decl_104, type, insert_nat: nat > set_nat > set_nat). 3.94/4.14 thf(decl_105, type, insert_real: real > set_real > set_real). 3.94/4.14 thf(decl_106, type, insert_set_a: set_a > set_set_a > set_set_a). 3.94/4.14 thf(decl_107, type, insert_a: a > set_a > set_a). 3.94/4.14 thf(decl_108, type, fChoice_set_a: (set_a > $o) > set_a). 3.94/4.14 thf(decl_109, type, member_int: int > set_int > $o). 3.94/4.14 thf(decl_110, type, member_nat: nat > set_nat > $o). 3.94/4.14 thf(decl_111, type, member_real: real > set_real > $o). 3.94/4.14 thf(decl_112, type, member_set_a: set_a > set_set_a > $o). 3.94/4.14 thf(decl_113, type, member_a: a > set_a > $o). 3.94/4.14 thf(decl_114, type, a0: set_a). 3.94/4.14 thf(decl_115, type, a2: set_a). 3.94/4.14 thf(decl_116, type, b: set_a). 3.94/4.14 thf(decl_117, type, g: set_a). 3.94/4.14 thf(decl_118, type, k0: real). 3.94/4.14 thf(decl_119, type, ks: set_real). 3.94/4.14 thf(decl_120, type, k: real). 3.94/4.14 thf(decl_121, type, addition: a > a > a). 3.94/4.14 thf(decl_122, type, thesis: $o). 3.94/4.14 thf(decl_123, type, esk1_3: a > set_a > set_a > a). 3.94/4.14 thf(decl_124, type, esk2_3: a > set_a > set_a > a). 3.94/4.14 thf(decl_125, type, esk3_3: a > set_a > set_a > a). 3.94/4.14 thf(decl_126, type, esk4_3: a > set_a > set_a > a). 3.94/4.14 thf(decl_127, type, esk5_3: (a > $o) > (a > $o) > a > a). 3.94/4.14 thf(decl_128, type, esk6_3: (a > $o) > (a > $o) > a > a). 3.94/4.14 thf(decl_129, type, esk7_3: (a > $o) > (a > $o) > a > a). 3.94/4.14 thf(decl_130, type, esk8_3: (a > $o) > (a > $o) > a > a). 3.94/4.14 thf(decl_131, type, esk9_2: (nat > $o) > (nat > $o) > nat). 3.94/4.14 thf(decl_132, type, esk10_2: (a > $o) > (a > $o) > a). 3.94/4.14 thf(decl_133, type, esk11_2: (int > $o) > (int > $o) > int). 3.94/4.14 thf(decl_134, type, esk12_1: (nat > $o) > nat). 3.94/4.14 thf(decl_135, type, esk13_1: (int > $o) > int). 3.94/4.14 thf(decl_136, type, esk14_1: (a > $o) > a). 3.94/4.14 thf(decl_137, type, esk15_1: (real > $o) > real). 3.94/4.14 thf(decl_138, type, esk16_1: (set_a > $o) > set_a). 3.94/4.14 thf(decl_139, type, esk17_1: (nat > $o) > nat). 3.94/4.14 thf(decl_140, type, esk18_1: (int > $o) > int). 3.94/4.14 thf(decl_141, type, esk19_1: (a > $o) > a). 3.94/4.14 thf(decl_142, type, esk20_1: (real > $o) > real). 3.94/4.14 thf(decl_143, type, esk21_1: (set_a > $o) > set_a). 3.94/4.14 thf(decl_144, type, esk22_1: set_a > a). 3.94/4.14 thf(decl_145, type, esk23_1: set_real > real). 3.94/4.14 thf(decl_146, type, esk24_1: set_set_a > set_a). 3.94/4.14 thf(decl_147, type, esk25_2: set_real > set_real > real). 3.94/4.14 thf(decl_148, type, esk26_2: set_set_a > set_set_a > set_a). 3.94/4.14 thf(decl_149, type, esk27_2: set_a > set_a > a). 3.94/4.14 thf(decl_150, type, esk28_2: (nat > $o) > nat > nat). 3.94/4.14 thf(decl_151, type, esk29_1: (nat > $o) > nat). 3.94/4.14 thf(decl_152, type, esk30_2: set_real > nat > set_real). 3.94/4.14 thf(decl_153, type, esk31_2: set_nat > nat > set_nat). 3.94/4.14 thf(decl_154, type, esk32_2: set_int > nat > set_int). 3.94/4.14 thf(decl_155, type, esk33_2: set_a > nat > set_a). 3.94/4.14 thf(decl_156, type, esk34_2: nat > set_real > set_real). 3.94/4.14 thf(decl_157, type, esk35_2: nat > set_nat > set_nat). 3.94/4.14 thf(decl_158, type, esk36_2: nat > set_int > set_int). 3.94/4.14 thf(decl_159, type, esk37_2: nat > set_a > set_a). 3.94/4.14 thf(decl_160, type, esk38_3: set_real > nat > set_real > set_real). 3.94/4.14 thf(decl_161, type, esk39_3: set_nat > nat > set_nat > set_nat). 3.94/4.14 thf(decl_162, type, esk40_3: set_int > nat > set_int > set_int). 3.94/4.14 thf(decl_163, type, esk41_3: set_a > nat > set_a > set_a). 3.94/4.14 thf(decl_164, type, esk42_1: set_a > a). 3.94/4.14 thf(decl_165, type, esk43_1: set_real > real). 3.94/4.14 thf(decl_166, type, esk44_1: set_set_a > set_a). 3.94/4.14 thf(decl_167, type, esk45_1: set_a > a). 3.94/4.14 thf(decl_168, type, esk46_1: set_real > real). 3.94/4.14 thf(decl_169, type, esk47_1: set_set_a > set_a). 3.94/4.14 thf(decl_170, type, esk48_2: (nat > $o) > (nat > $o) > nat). 3.94/4.14 thf(decl_171, type, esk49_2: (int > $o) > (int > $o) > int). 3.94/4.14 thf(decl_172, type, esk50_2: (a > $o) > (a > $o) > a). 3.94/4.14 thf(decl_173, type, esk51_2: (nat > $o) > (nat > $o) > nat). 3.94/4.14 thf(decl_174, type, esk52_2: (int > $o) > (int > $o) > int). 3.94/4.14 thf(decl_175, type, esk53_2: (a > $o) > (a > $o) > a). 3.94/4.14 thf(decl_176, type, esk54_2: set_real > set_real > real). 3.94/4.14 thf(decl_177, type, esk55_2: set_set_a > set_set_a > set_a). 3.94/4.14 thf(decl_178, type, esk56_2: set_a > set_a > a). 3.94/4.14 thf(decl_179, type, esk57_2: set_real > set_real > real). 3.94/4.14 thf(decl_180, type, esk58_2: set_set_a > set_set_a > set_a). 3.94/4.14 thf(decl_181, type, esk59_2: set_a > set_a > a). 3.94/4.14 thf(decl_182, type, esk60_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_183, type, esk61_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_184, type, esk62_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_185, type, esk63_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_186, type, esk64_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_187, type, esk65_3: set_a > set_a > (a > $o) > a). 3.94/4.14 thf(decl_188, type, esk66_2: set_set_a > set_a > set_a). 3.94/4.14 thf(decl_189, type, esk67_2: set_nat > nat > nat). 3.94/4.14 thf(decl_190, type, esk68_2: set_real > real > real). 3.94/4.14 thf(decl_191, type, esk69_2: set_int > int > int). 3.94/4.14 thf(decl_192, type, esk70_2: set_set_a > set_a > set_a). 3.94/4.14 thf(decl_193, type, esk71_2: set_nat > nat > nat). 3.94/4.14 thf(decl_194, type, esk72_2: set_real > real > real). 3.94/4.14 thf(decl_195, type, esk73_2: set_int > int > int). 3.94/4.14 thf(decl_196, type, esk74_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_197, type, esk75_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_198, type, esk76_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_199, type, esk77_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_200, type, esk78_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_201, type, esk79_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_202, type, esk80_1: (set_a > set_a > set_a) > set_a). 3.94/4.14 thf(decl_203, type, esk81_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_204, type, esk82_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_205, type, esk83_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_206, type, esk84_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_207, type, esk85_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_208, type, esk86_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_209, type, esk87_1: (nat > nat > nat) > nat). 3.94/4.14 thf(decl_210, type, esk88_1: (real > real > real) > real). 3.94/4.14 thf(decl_211, type, esk89_1: (real > real > real) > real). 3.94/4.14 thf(decl_212, type, esk90_1: (real > real > real) > real). 3.94/4.14 thf(decl_213, type, esk91_1: (real > real > real) > real). 3.94/4.14 thf(decl_214, type, esk92_1: (real > real > real) > real). 3.94/4.14 thf(decl_215, type, esk93_1: (real > real > real) > real). 3.94/4.14 thf(decl_216, type, esk94_1: (real > real > real) > real). 3.94/4.14 thf(decl_217, type, esk95_1: (int > int > int) > int). 3.94/4.14 thf(decl_218, type, esk96_1: (int > int > int) > int). 3.94/4.14 thf(decl_219, type, esk97_1: (int > int > int) > int). 3.94/4.14 thf(decl_220, type, esk98_1: (int > int > int) > int). 3.94/4.14 thf(decl_221, type, esk99_1: (int > int > int) > int). 3.94/4.14 thf(decl_222, type, esk100_1: (int > int > int) > int). 3.94/4.14 thf(decl_223, type, esk101_1: (int > int > int) > int). 3.94/4.14 thf(decl_224, type, esk102_3: set_a > set_a > set_a > set_a). 3.94/4.14 thf(decl_225, type, esk103_3: set_a > set_a > set_a > set_a). 3.94/4.14 thf(decl_226, type, esk104_1: set_set_a > set_a). 3.94/4.14 thf(decl_227, type, esk105_1: set_nat > nat). 3.94/4.14 thf(decl_228, type, esk106_1: set_real > real). 3.94/4.14 thf(decl_229, type, esk107_1: set_int > int). 3.94/4.14 thf(decl_230, type, esk108_1: set_set_a > set_a). 3.94/4.14 thf(decl_231, type, esk109_1: set_nat > nat). 3.94/4.14 thf(decl_232, type, esk110_1: set_real > real). 3.94/4.14 thf(decl_233, type, esk111_1: set_int > int). 3.94/4.14 thf(decl_234, type, esk112_2: set_real > nat > set_real). 3.94/4.14 thf(decl_235, type, esk113_2: set_nat > nat > set_nat). 3.94/4.14 thf(decl_236, type, esk114_2: set_int > nat > set_int). 3.94/4.14 thf(decl_237, type, esk115_2: set_a > nat > set_a). 3.94/4.14 thf(decl_238, type, esk116_2: set_nat > nat > nat). 3.94/4.14 thf(decl_239, type, esk117_2: set_int > int > int). 3.94/4.14 thf(decl_240, type, esk118_2: set_real > real > real). 3.94/4.14 thf(decl_241, type, esk119_2: set_nat > nat > nat). 3.94/4.14 thf(decl_242, type, esk120_2: set_int > int > int). 3.94/4.14 thf(decl_243, type, esk121_2: set_real > real > real). 3.94/4.14 thf(decl_244, type, esk122_2: set_nat > nat > nat). 3.94/4.14 thf(decl_245, type, esk123_2: set_int > int > int). 3.94/4.14 thf(decl_246, type, esk124_2: set_real > real > real). 3.94/4.14 thf(decl_247, type, esk125_2: set_nat > nat > nat). 3.94/4.14 thf(decl_248, type, esk126_2: set_int > int > int). 3.94/4.14 thf(decl_249, type, esk127_2: set_real > real > real). 3.94/4.14 thf(decl_250, type, esk128_2: set_nat > nat > nat). 3.94/4.14 thf(decl_251, type, esk129_2: set_int > int > int). 3.94/4.14 thf(decl_252, type, esk130_2: set_real > real > real). 3.94/4.14 thf(decl_253, type, esk131_2: set_nat > nat > nat). 3.94/4.14 thf(decl_254, type, esk132_2: set_int > int > int). 3.94/4.14 thf(decl_255, type, esk133_2: set_real > real > real). 3.94/4.14 thf(decl_256, type, esk134_2: set_a > real > set_a). 3.94/4.14 thf(decl_257, type, esk135_2: set_int > int > int). 3.94/4.14 thf(decl_258, type, esk136_2: set_nat > nat > nat). 3.94/4.14 thf(decl_259, type, esk137_2: set_real > real > real). 3.94/4.14 thf(decl_260, type, esk138_1: real > real). 3.94/4.14 thf(decl_261, type, esk139_1: real > real). 3.94/4.14 thf(decl_262, type, esk140_2: real > real > real). 3.94/4.14 thf(decl_263, type, esk141_2: real > real > real). 3.94/4.14 thf(decl_264, type, esk142_3: real > real > real > real). 3.94/4.14 thf(decl_265, type, esk143_3: real > real > real > real). 3.94/4.14 thf(decl_266, type, esk144_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_267, type, esk145_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_268, type, esk146_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_269, type, esk147_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_270, type, esk148_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_271, type, esk149_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_272, type, esk150_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_273, type, esk151_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_274, type, esk152_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_275, type, esk153_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_276, type, esk154_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_277, type, esk155_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_278, type, esk156_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_279, type, esk157_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_280, type, esk158_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_281, type, esk159_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_282, type, esk160_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_283, type, esk161_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_284, type, esk162_4: set_a > (real > set_a) > real > real > real). 3.94/4.14 thf(decl_285, type, esk163_4: set_a > (real > set_a) > real > real > real). 3.94/4.14 thf(decl_286, type, esk164_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_287, type, esk165_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_288, type, esk166_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_289, type, esk167_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_290, type, esk168_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_291, type, esk169_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_292, type, esk170_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_293, type, esk171_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_294, type, esk172_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_295, type, esk173_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_296, type, esk174_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_297, type, esk175_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_298, type, esk176_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_299, type, esk177_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_300, type, esk178_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_301, type, esk179_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_302, type, esk180_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_303, type, esk181_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_304, type, esk182_4: set_a > set_a > (set_a > nat) > nat > set_a). 3.94/4.14 thf(decl_305, type, esk183_4: set_a > set_a > (set_a > nat) > nat > set_a). 3.94/4.14 thf(decl_306, type, esk184_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_307, type, esk185_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_308, type, esk186_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_309, type, esk187_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_310, type, esk188_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_311, type, esk189_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_312, type, esk190_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_313, type, esk191_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_314, type, esk192_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_315, type, esk193_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_316, type, esk194_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_317, type, esk195_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_318, type, esk196_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_319, type, esk197_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_320, type, esk198_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_321, type, esk199_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_322, type, esk200_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_323, type, esk201_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_324, type, esk202_4: nat > (set_a > nat) > set_a > set_a > set_a). 3.94/4.14 thf(decl_325, type, esk203_4: nat > (set_a > nat) > set_a > set_a > set_a). 3.94/4.14 thf(decl_326, type, esk204_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_327, type, esk205_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_328, type, esk206_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_329, type, esk207_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_330, type, esk208_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_331, type, esk209_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_332, type, esk210_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_333, type, esk211_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_334, type, esk212_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_335, type, esk213_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_336, type, esk214_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_337, type, esk215_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_338, type, esk216_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_339, type, esk217_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_340, type, esk218_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_341, type, esk219_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_342, type, esk220_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_343, type, esk221_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_344, type, esk222_4: real > real > (real > set_a) > set_a > real). 3.94/4.14 thf(decl_345, type, esk223_4: real > real > (real > set_a) > set_a > real). 3.94/4.14 thf(decl_346, type, esk224_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_347, type, esk225_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_348, type, esk226_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_349, type, esk227_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_350, type, esk228_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_351, type, esk229_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_352, type, esk230_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_353, type, esk231_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_354, type, esk232_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_355, type, esk233_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_356, type, esk234_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_357, type, esk235_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_358, type, esk236_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_359, type, esk237_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_360, type, esk238_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_361, type, esk239_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_362, type, esk240_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_363, type, esk241_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_364, type, esk242_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_365, type, esk243_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_366, type, esk244_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_367, type, esk245_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_368, type, esk246_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_369, type, esk247_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_370, type, esk248_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_371, type, esk249_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_372, type, esk250_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_373, type, esk251_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_374, type, esk252_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_375, type, esk253_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_376, type, esk254_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_377, type, esk255_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_378, type, esk256_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_379, type, esk257_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_380, type, esk258_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_381, type, esk259_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_382, type, esk260_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_383, type, esk261_4: real > real > (real > real) > real > real). 3.94/4.14 thf(decl_384, type, esk262_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_385, type, esk263_4: real > real > (real > int) > int > real). 3.94/4.14 thf(decl_386, type, esk264_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_387, type, esk265_4: real > real > (real > nat) > nat > real). 3.94/4.14 thf(decl_388, type, esk266_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_389, type, esk267_4: int > int > (int > real) > real > int). 3.94/4.14 thf(decl_390, type, esk268_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_391, type, esk269_4: int > int > (int > int) > int > int). 3.94/4.14 thf(decl_392, type, esk270_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_393, type, esk271_4: int > int > (int > nat) > nat > int). 3.94/4.14 thf(decl_394, type, esk272_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_395, type, esk273_4: nat > nat > (nat > real) > real > nat). 3.94/4.14 thf(decl_396, type, esk274_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_397, type, esk275_4: nat > nat > (nat > int) > int > nat). 3.94/4.14 thf(decl_398, type, esk276_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_399, type, esk277_4: nat > nat > (nat > nat) > nat > nat). 3.94/4.14 thf(decl_400, type, esk278_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_401, type, esk279_4: real > (real > real) > real > real > real). 3.94/4.14 thf(decl_402, type, esk280_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_403, type, esk281_4: int > (real > int) > real > real > real). 3.94/4.14 thf(decl_404, type, esk282_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_405, type, esk283_4: nat > (real > nat) > real > real > real). 3.94/4.14 thf(decl_406, type, esk284_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_407, type, esk285_4: real > (int > real) > int > int > int). 3.94/4.14 thf(decl_408, type, esk286_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_409, type, esk287_4: int > (int > int) > int > int > int). 3.94/4.14 thf(decl_410, type, esk288_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_411, type, esk289_4: nat > (int > nat) > int > int > int). 3.94/4.14 thf(decl_412, type, esk290_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_413, type, esk291_4: real > (nat > real) > nat > nat > nat). 3.94/4.14 thf(decl_414, type, esk292_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_415, type, esk293_4: int > (nat > int) > nat > nat > nat). 3.94/4.14 thf(decl_416, type, esk294_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_417, type, esk295_4: nat > (nat > nat) > nat > nat > nat). 3.94/4.14 thf(decl_418, type, esk296_1: (real > real > $o) > real). 3.94/4.14 thf(decl_419, type, esk297_1: (real > real > $o) > real). 3.94/4.14 thf(decl_420, type, esk298_1: (real > real > $o) > real). 3.94/4.14 thf(decl_421, type, esk299_1: (real > real > $o) > real). 3.94/4.14 thf(decl_422, type, esk300_1: (real > real > $o) > real). 3.94/4.14 thf(decl_423, type, esk301_1: (int > int > $o) > int). 3.94/4.14 thf(decl_424, type, esk302_1: (int > int > $o) > int). 3.94/4.14 thf(decl_425, type, esk303_1: (int > int > $o) > int). 3.94/4.14 thf(decl_426, type, esk304_1: (int > int > $o) > int). 3.94/4.14 thf(decl_427, type, esk305_1: (int > int > $o) > int). 3.94/4.14 thf(decl_428, type, esk306_1: (nat > nat > $o) > nat). 3.94/4.14 thf(decl_429, type, esk307_1: (nat > nat > $o) > nat). 3.94/4.14 thf(decl_430, type, esk308_1: (nat > nat > $o) > nat). 3.94/4.14 thf(decl_431, type, esk309_1: (nat > nat > $o) > nat). 3.94/4.14 thf(decl_432, type, esk310_1: (nat > nat > $o) > nat). 3.94/4.14 thf(decl_433, type, esk311_1: (nat > $o) > nat). 3.94/4.14 thf(decl_434, type, esk312_2: (nat > $o) > nat > nat). 3.94/4.14 thf(decl_435, type, esk313_1: (nat > $o) > nat). 3.94/4.14 thf(decl_436, type, esk314_1: (nat > $o) > nat). 3.94/4.14 thf(decl_437, type, esk315_2: real > real > real). 3.94/4.14 thf(decl_438, type, esk316_1: real > real). 3.94/4.14 thf(decl_439, type, esk317_1: int > int). 3.94/4.14 thf(decl_440, type, esk318_1: nat > nat). 3.94/4.14 thf(decl_441, type, esk319_1: real > real). 3.94/4.14 thf(decl_442, type, esk320_1: int > int). 3.94/4.14 thf(decl_443, type, esk321_1: (nat > $o) > nat). 3.94/4.14 thf(decl_444, type, esk322_1: (nat > $o) > nat). 3.94/4.14 thf(decl_445, type, esk323_1: (nat > $o) > nat). 3.94/4.14 thf(decl_446, type, esk324_1: (nat > nat) > nat). 3.94/4.14 thf(decl_447, type, esk325_1: (nat > nat) > nat). 3.94/4.14 thf(decl_448, type, esk326_2: (nat > $o) > nat > nat). 3.94/4.14 thf(decl_449, type, esk327_2: real > real > nat). 3.94/4.14 thf(decl_450, type, esk328_2: set_real > real > real). 3.94/4.14 thf(decl_451, type, esk329_1: set_real > real). 3.94/4.14 thf(decl_452, type, esk330_2: set_real > real > real). 3.94/4.14 thf(decl_453, type, esk331_2: real > real > nat). 3.94/4.14 thf(decl_454, type, esk332_0: set_a). 3.94/4.14 thf(decl_455, type, esk333_1: int > nat). 3.94/4.14 thf(decl_456, type, esk334_1: int > nat). 3.94/4.14 thf(decl_457, type, esk335_1: int > nat). 3.94/4.14 thf(decl_458, type, esk336_1: int > nat). 3.94/4.14 thf(decl_459, type, esk337_1: int > nat). 3.94/4.14 thf(decl_460, type, esk338_1: int > nat). 3.94/4.14 thf(decl_461, type, esk339_2: int > (int > $o) > int). 3.94/4.14 thf(decl_462, type, esk340_2: int > (int > $o) > int). 3.94/4.14 thf(decl_463, type, esk341_2: int > (int > $o) > int). 3.94/4.14 thf(decl_464, type, esk342_4: int > (int > $o) > (int > $o) > int > int). 3.94/4.14 thf(decl_465, type, esk343_3: int > (int > $o) > (int > $o) > int). 3.94/4.14 thf(decl_466, type, esk344_2: int > (int > $o) > int). 3.94/4.14 thf(decl_467, type, esk345_2: int > (int > $o) > int). 3.94/4.14 thf(decl_468, type, esk346_4: int > (int > $o) > (int > $o) > int > int). 3.94/4.14 thf(decl_469, type, esk347_3: int > (int > $o) > (int > $o) > int). 3.94/4.14 thf(decl_470, type, esk348_3: real > real > (real > real > $o) > real). 3.94/4.14 thf(decl_471, type, esk349_3: real > real > (real > real > $o) > real). 3.94/4.14 thf(decl_472, type, esk350_3: real > real > (real > real > $o) > real). 3.94/4.14 thf(decl_473, type, esk351_3: real > real > (real > real > $o) > real). 3.94/4.14 thf(decl_474, type, esk352_4: real > real > (real > real > $o) > real > real). 3.94/4.14 thf(decl_475, type, esk353_4: real > real > (real > real > $o) > real > real). 3.94/4.14 thf(decl_476, type, esk354_1: (set_a > $o) > set_a). 3.94/4.14 thf(decl_477, type, epred1_1: set_real > real > $o). 3.94/4.14 thf(decl_478, type, epred2_1: set_set_a > set_a > $o). 3.94/4.14 thf(decl_479, type, epred3_1: set_nat > nat > $o). 3.94/4.14 thf(decl_480, type, epred4_1: set_a > a > $o). 3.94/4.14 thf(decl_481, type, epred5_1: set_int > int > $o). 3.94/4.14 thf(decl_482, type, epred6_0: set_a > $o). 3.94/4.14 thf(decl_483, type, epred7_1: nat > nat > $o). 3.94/4.14 thf(decl_484, type, epred8_1: nat > nat > $o). 3.94/4.14 thf(decl_485, type, epred9_2: int > int > int > $o). 3.94/4.14 thf(decl_486, type, epred10_2: int > int > int > $o). 3.94/4.14 thf(decl_487, type, epred11_2: int > int > int > $o). 3.94/4.14 thf(decl_488, type, epred12_2: int > int > int > $o). 3.94/4.14 thf(decl_489, type, esk355_0: set_a > real). 3.94/4.14 thf(decl_490, type, esk356_1: set_set_a > set_a). 3.94/4.14 thf(decl_491, type, esk357_1: set_real > real). 3.94/4.14 thf(decl_492, type, esk358_1: set_nat > nat). 3.94/4.14 thf(decl_493, type, esk359_1: set_int > int). 3.94/4.14 thf(decl_494, type, esk360_1: set_a > a). 3.94/4.14 thf(decl_495, type, esk361_1: nat > nat). 3.94/4.14 thf(decl_496, type, esk362_2: set_nat > nat > nat). 3.94/4.14 thf(decl_497, type, esk363_2: set_nat > nat > nat). 3.94/4.14 thf(decl_498, type, esk364_2: set_nat > nat > nat). 3.94/4.14 thf(decl_499, type, esk365_3: set_int > int > int > int). 3.94/4.14 thf(decl_500, type, esk366_3: set_int > int > int > int). 3.94/4.14 thf(decl_501, type, esk367_3: set_int > int > int > int). 3.94/4.14 thf(decl_502, type, esk368_3: set_int > int > int > int). 3.94/4.14 thf(decl_503, type, esk369_2: set_a > set_a > a). 3.94/4.14 thf(decl_504, type, esk370_3: set_a > set_a > set_a > a). 3.94/4.14 thf(fact_488_nonzero__mult__div__cancel__left, axiom, ![X800:real, X801:real]:((((X800)!=(zero_zero_real))=>((divide_divide_real @ (times_times_real @ X800 @ X801) @ X800)=(X801)))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_488_nonzero__mult__div__cancel__left)). 3.94/4.14 thf(fact_518_times__divide__eq__right, axiom, ![X857:real, X858:real, X859:real]:(((times_times_real @ X857 @ (divide_divide_real @ X858 @ X859))=(divide_divide_real @ (times_times_real @ X857 @ X858) @ X859))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_518_times__divide__eq__right)). 3.94/4.14 thf(fact_793_nless__le, axiom, ![X1366:real, X1367:real]:((~((ord_less_real @ X1366 @ X1367))<=>(~((ord_less_eq_real @ X1366 @ X1367))|((X1366)=(X1367))))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_793_nless__le)). 3.94/4.14 thf(fact_48_mult__of__nat__commute, axiom, ![X27:nat, X28:real]:(((times_times_real @ (semiri5074537144036343181t_real @ X27) @ X28)=(times_times_real @ X28 @ (semiri5074537144036343181t_real @ X27)))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_48_mult__of__nat__commute)). 3.94/4.14 thf(conj_0, conjecture, ((times_times_real @ k @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))=(semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a2 @ b)))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', conj_0)). 3.94/4.14 thf(fact_51_card__sumset__0__iff, axiom, ![X4:set_a, X5:set_a]:(((ord_less_eq_set_a @ X4 @ g)=>((ord_less_eq_set_a @ X5 @ g)=>(((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ X5))=(zero_zero_nat))<=>(((finite_card_a @ X4)=(zero_zero_nat))|((finite_card_a @ X5)=(zero_zero_nat))))))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_51_card__sumset__0__iff)). 3.94/4.14 thf(fact_764_of__nat__0__less__iff, axiom, ![X20:nat]:(((ord_less_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X20))<=>(ord_less_nat @ zero_zero_nat @ X20))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_764_of__nat__0__less__iff)). 3.94/4.14 thf(fact_225_of__nat__0__le__iff, axiom, ![X20:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X20))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_225_of__nat__0__le__iff)). 3.94/4.14 thf(fact_11_Keq, axiom, ((k)=(divide_divide_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a2 @ b))) @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_11_Keq)). 3.94/4.14 thf(fact_159_of__nat__0, axiom, ((semiri5074537144036343181t_real @ zero_zero_nat)=(zero_zero_real)), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_159_of__nat__0)). 3.94/4.14 thf(fact_8_assms_I6_J, axiom, (ord_less_eq_set_a @ b @ g), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_8_assms_I6_J)). 3.94/4.14 thf(fact_25__092_060open_062A_A_092_060subseteq_062_AG_092_060close_062, axiom, (ord_less_eq_set_a @ a2 @ g), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_25__092_060open_062A_A_092_060subseteq_062_AG_092_060close_062)). 3.94/4.14 thf(fact_502_mult__zero__right, axiom, ![X836:real]:(((times_times_real @ X836 @ zero_zero_real)=(zero_zero_real))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_502_mult__zero__right)). 3.94/4.14 thf(fact_1133_neq0__conv, axiom, ![X20:nat]:((((X20)!=(zero_zero_nat))<=>(ord_less_nat @ zero_zero_nat @ X20))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_1133_neq0__conv)). 3.94/4.14 thf(fact_987_order__less__irrefl, axiom, ![X1966:real]:(~((ord_less_real @ X1966 @ X1966))), file('/export/starexec/sandbox/tmp/tmp.iA34EoyGYa/Vampire---4.8_24215', fact_987_order__less__irrefl)). 3.94/4.14 thf(c_0_15, plain, ![X6867:real, X6868:real]:((((X6867)=(zero_zero_real))|((divide_divide_real @ (times_times_real @ X6867 @ X6868) @ X6867)=(X6868)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_nonzero__mult__div__cancel__left])])). 3.94/4.14 thf(c_0_16, plain, ![X6924:real, X6925:real, X6926:real]:(((times_times_real @ X6924 @ (divide_divide_real @ X6925 @ X6926))=(divide_divide_real @ (times_times_real @ X6924 @ X6925) @ X6926))), inference(variable_rename,[status(thm)],[fact_518_times__divide__eq__right])). 3.94/4.14 thf(c_0_17, plain, ![X1366:real, X1367:real]:((~(ord_less_real @ X1366 @ X1367)<=>(~(ord_less_eq_real @ X1366 @ X1367)|((X1366)=(X1367))))), inference(fof_simplification,[status(thm)],[fact_793_nless__le])). 3.94/4.14 thf(c_0_18, plain, ![X28:real, X31:real]:((((X28)=(zero_zero_real))|((divide_divide_real @ (times_times_real @ X28 @ X31) @ X28)=(X31)))), inference(split_conjunct,[status(thm)],[c_0_15])). 3.94/4.14 thf(c_0_19, plain, ![X28:real, X31:real, X41:real]:(((times_times_real @ X28 @ (divide_divide_real @ X31 @ X41))=(divide_divide_real @ (times_times_real @ X28 @ X31) @ X41))), inference(split_conjunct,[status(thm)],[c_0_16])). 3.94/4.14 thf(c_0_20, plain, ![X9066:set_a]:(((esk355_0 @ X9066)=(divide_divide_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X9066 @ b))) @ (semiri5074537144036343181t_real @ (finite_card_a @ X9066))))), inference(variable_rename,[status(thm)],[])). 3.94/4.14 thf(c_0_21, plain, ![X5810:nat, X5811:real]:(((times_times_real @ (semiri5074537144036343181t_real @ X5810) @ X5811)=(times_times_real @ X5811 @ (semiri5074537144036343181t_real @ X5810)))), inference(variable_rename,[status(thm)],[fact_48_mult__of__nat__commute])). 3.94/4.14 thf(c_0_22, negated_conjecture, ((times_times_real @ k @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))!=(semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a2 @ b)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 3.94/4.14 thf(c_0_23, plain, ![X5817:set_a, X5818:set_a]:(((((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X5817 @ X5818))!=(zero_zero_nat))|(((finite_card_a @ X5817)=(zero_zero_nat))|((finite_card_a @ X5818)=(zero_zero_nat)))|~(ord_less_eq_set_a @ X5818 @ g)|~(ord_less_eq_set_a @ X5817 @ g))&((((finite_card_a @ X5817)!=(zero_zero_nat))|((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X5817 @ X5818))=(zero_zero_nat))|~(ord_less_eq_set_a @ X5818 @ g)|~(ord_less_eq_set_a @ X5817 @ g))&(((finite_card_a @ X5818)!=(zero_zero_nat))|((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X5817 @ X5818))=(zero_zero_nat))|~(ord_less_eq_set_a @ X5818 @ g)|~(ord_less_eq_set_a @ X5817 @ g))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_51_card__sumset__0__iff])])])). 3.94/4.14 thf(c_0_24, plain, ![X7533:nat]:(((~(ord_less_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X7533))|(ord_less_nat @ zero_zero_nat @ X7533))&(~(ord_less_nat @ zero_zero_nat @ X7533)|(ord_less_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X7533))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_764_of__nat__0__less__iff])])). 3.94/4.14 thf(c_0_25, plain, ![X7598:real, X7599:real]:((((ord_less_real @ X7598 @ X7599)|(~(ord_less_eq_real @ X7598 @ X7599)|((X7598)=(X7599))))&(((ord_less_eq_real @ X7598 @ X7599)|~(ord_less_real @ X7598 @ X7599))&(((X7598)!=(X7599))|~(ord_less_real @ X7598 @ X7599))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 3.94/4.14 thf(c_0_26, plain, ![X6144:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X6144))), inference(variable_rename,[status(thm)],[fact_225_of__nat__0__le__iff])). 3.94/4.14 thf(c_0_27, plain, ![X31:real, X28:real]:((((times_times_real @ X28 @ (divide_divide_real @ X31 @ X28))=(X31))|((X28)=(zero_zero_real)))), inference(rw,[status(thm)],[c_0_18, c_0_19])). 3.94/4.14 thf(c_0_28, plain, ![X4:set_a]:(((esk355_0 @ X4)=(divide_divide_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ b))) @ (semiri5074537144036343181t_real @ (finite_card_a @ X4))))), inference(split_conjunct,[status(thm)],[c_0_20])). 3.94/4.14 thf(c_0_29, plain, ![X28:real, X19:nat]:(((times_times_real @ (semiri5074537144036343181t_real @ X19) @ X28)=(times_times_real @ X28 @ (semiri5074537144036343181t_real @ X19)))), inference(split_conjunct,[status(thm)],[c_0_21])). 3.94/4.14 thf(c_0_30, plain, ((k)=(divide_divide_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a2 @ b))) @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))), inference(split_conjunct,[status(thm)],[fact_11_Keq])). 3.94/4.14 thf(c_0_31, negated_conjecture, ((times_times_real @ k @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))!=(semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a2 @ b)))), inference(split_conjunct,[status(thm)],[c_0_22])). 3.94/4.14 thf(c_0_32, plain, ![X5:set_a, X4:set_a]:((((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ X5))=(zero_zero_nat))|((finite_card_a @ X4)!=(zero_zero_nat))|~((ord_less_eq_set_a @ X5 @ g))|~((ord_less_eq_set_a @ X4 @ g)))), inference(split_conjunct,[status(thm)],[c_0_23])). 3.94/4.14 thf(c_0_33, plain, ((semiri5074537144036343181t_real @ zero_zero_nat)=(zero_zero_real)), inference(split_conjunct,[status(thm)],[fact_159_of__nat__0])). 3.94/4.14 thf(c_0_34, plain, (ord_less_eq_set_a @ b @ g), inference(split_conjunct,[status(thm)],[fact_8_assms_I6_J])). 3.94/4.14 thf(c_0_35, plain, (ord_less_eq_set_a @ a2 @ g), inference(split_conjunct,[status(thm)],[fact_25__092_060open_062A_A_092_060subseteq_062_AG_092_060close_062])). 3.94/4.14 thf(c_0_36, plain, ![X19:nat]:(((ord_less_nat @ zero_zero_nat @ X19)|~((ord_less_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X19))))), inference(split_conjunct,[status(thm)],[c_0_24])). 3.94/4.14 thf(c_0_37, plain, ![X28:real, X31:real]:(((ord_less_real @ X28 @ X31)|((X28)=(X31))|~((ord_less_eq_real @ X28 @ X31)))), inference(split_conjunct,[status(thm)],[c_0_25])). 3.94/4.14 thf(c_0_38, plain, ![X19:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X19))), inference(split_conjunct,[status(thm)],[c_0_26])). 3.94/4.14 thf(c_0_39, plain, ![X6903:real]:(((times_times_real @ X6903 @ zero_zero_real)=(zero_zero_real))), inference(variable_rename,[status(thm)],[fact_502_mult__zero__right])). 3.94/4.14 thf(c_0_40, plain, ![X8681:nat]:(((((X8681)=(zero_zero_nat))|(ord_less_nat @ zero_zero_nat @ X8681))&(~(ord_less_nat @ zero_zero_nat @ X8681)|((X8681)!=(zero_zero_nat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1133_neq0__conv])])). 3.94/4.14 thf(c_0_41, plain, ![X1966:real]:(~(ord_less_real @ X1966 @ X1966)), inference(fof_simplification,[status(thm)],[fact_987_order__less__irrefl])). 3.94/4.14 thf(c_0_42, plain, ![X4:set_a]:((((times_times_real @ (esk355_0 @ X4) @ (semiri5074537144036343181t_real @ (finite_card_a @ X4)))=(semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ b))))|((semiri5074537144036343181t_real @ (finite_card_a @ X4))=(zero_zero_real)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 3.94/4.14 thf(c_0_43, plain, ((esk355_0 @ a2)=(k)), inference(rw,[status(thm)],[c_0_30, c_0_28])). 3.94/4.14 thf(c_0_44, negated_conjecture, (((times_times_real @ k @ (semiri5074537144036343181t_real @ (finite_card_a @ a2)))!=(zero_zero_real))|((finite_card_a @ a2)!=(zero_zero_nat))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34]), c_0_35])])). 3.94/4.14 thf(c_0_45, plain, ![X19:nat]:((((semiri5074537144036343181t_real @ X19)=(zero_zero_real))|(ord_less_nat @ zero_zero_nat @ X19))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])). 3.94/4.14 thf(c_0_46, plain, ![X28:real]:(((times_times_real @ X28 @ zero_zero_real)=(zero_zero_real))), inference(split_conjunct,[status(thm)],[c_0_39])). 3.94/4.14 thf(c_0_47, plain, ![X19:nat]:((((X19)=(zero_zero_nat))|(ord_less_nat @ zero_zero_nat @ X19))), inference(split_conjunct,[status(thm)],[c_0_40])). 3.94/4.14 thf(c_0_48, plain, ![X8243:real]:(~(ord_less_real @ X8243 @ X8243)), inference(variable_rename,[status(thm)],[c_0_41])). 3.94/4.14 thf(c_0_49, plain, ![X19:nat]:(((ord_less_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X19))|~((ord_less_nat @ zero_zero_nat @ X19)))), inference(split_conjunct,[status(thm)],[c_0_24])). 3.94/4.14 thf(c_0_50, negated_conjecture, ((semiri5074537144036343181t_real @ (finite_card_a @ a2))=(zero_zero_real)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_42]), c_0_43])])). 3.94/4.14 thf(c_0_51, negated_conjecture, (ord_less_nat @ zero_zero_nat @ (finite_card_a @ a2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])]), c_0_47])). 3.94/4.14 thf(c_0_52, plain, ![X28:real]:(~((ord_less_real @ X28 @ X28))), inference(split_conjunct,[status(thm)],[c_0_48])). 3.94/4.14 thf(c_0_53, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])]), c_0_52]), ['proof']). 3.94/4.14 # SZS output end CNFRefutation 3.94/4.14 # Parsed axioms : 1383 3.94/4.14 # Removed by relevancy pruning/SinE : 0 3.94/4.14 # Initial clauses : 2325 3.94/4.14 # Removed in clause preprocessing : 171 3.94/4.14 # Initial clauses in saturation : 2154 3.94/4.14 # Processed clauses : 12771 3.94/4.14 # ...of these trivial : 302 3.94/4.14 # ...subsumed : 6101 3.94/4.14 # ...remaining for further processing : 6368 3.94/4.14 # Other redundant clauses eliminated : 759 3.94/4.14 # Clauses deleted for lack of memory : 0 3.94/4.14 # Backward-subsumed : 200 3.94/4.14 # Backward-rewritten : 138 3.94/4.14 # Generated clauses : 146251 3.94/4.14 # ...of the previous two non-redundant : 130850 3.94/4.14 # ...aggressively subsumed : 0 3.94/4.14 # Contextual simplify-reflections : 70 3.94/4.14 # Paramodulations : 145288 3.94/4.14 # Factorizations : 50 3.94/4.14 # NegExts : 15 3.94/4.14 # Equation resolutions : 811 3.94/4.14 # Propositional unsat checks : 1 3.94/4.14 # Propositional check models : 0 3.94/4.14 # Propositional check unsatisfiable : 0 3.94/4.14 # Propositional clauses : 0 3.94/4.14 # Propositional clauses after purity: 0 3.94/4.14 # Propositional unsat core size : 0 3.94/4.14 # Propositional preprocessing time : 0.000 3.94/4.14 # Propositional encoding time : 0.097 3.94/4.14 # Propositional solver time : 0.039 3.94/4.14 # Success case prop preproc time : 0.000 3.94/4.14 # Success case prop encoding time : 0.000 3.94/4.14 # Success case prop solver time : 0.000 3.94/4.14 # Current number of processed clauses : 4513 3.94/4.14 # Positive orientable unit clauses : 446 3.94/4.14 # Positive unorientable unit clauses: 25 3.94/4.14 # Negative unit clauses : 366 3.94/4.14 # Non-unit-clauses : 3676 3.94/4.14 # Current number of unprocessed clauses: 121022 3.94/4.14 # ...number of literals in the above : 432558 3.94/4.14 # Current number of archived formulas : 0 3.94/4.14 # Current number of archived clauses : 1601 3.94/4.14 # Clause-clause subsumption calls (NU) : 2984955 3.94/4.14 # Rec. Clause-clause subsumption calls : 1392515 3.94/4.14 # Non-unit clause-clause subsumptions : 3769 3.94/4.14 # Unit Clause-clause subsumption calls : 173547 3.94/4.14 # Rewrite failures with RHS unbound : 0 3.94/4.14 # BW rewrite match attempts : 1758 3.94/4.14 # BW rewrite match successes : 213 3.94/4.14 # Condensation attempts : 0 3.94/4.14 # Condensation successes : 0 3.94/4.14 # Termbank termtop insertions : 3489545 3.94/4.14 3.94/4.14 # ------------------------------------------------- 3.94/4.14 # User time : 3.354 s 3.94/4.14 # System time : 0.125 s 3.94/4.14 # Total time : 3.479 s 3.94/4.14 # Maximum resident set size: 12620 pages 3.94/4.14 3.94/4.14 # ------------------------------------------------- 3.94/4.14 # User time : 3.404 s 3.94/4.14 # System time : 0.130 s 3.94/4.14 # Total time : 3.534 s 3.94/4.14 # Maximum resident set size: 4684 pages 3.94/4.14 EOF