0.12/0.28	% Problem    : SLH0336^1 : TPTP v8.2.0. Released v8.2.0.
0.12/0.29	% Command    : run_E %s %d THM
0.27/0.50	% Computer : n001.cluster.edu
0.27/0.50	% Model    : x86_64 x86_64
0.27/0.50	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.27/0.50	% Memory   : 8042.1875MB
0.27/0.50	% OS       : Linux 3.10.0-693.el7.x86_64
0.27/0.50	% CPULimit   : 30
0.27/0.50	% WCLimit    : 30
0.27/0.50	% DateTime   : Mon Jul  3 08:44:30 EDT 2023
0.27/0.50	% CPUTime    : 
0.37/0.62	The problem SPC is TH0_THM_EQU_NAR
0.43/0.63	Running higher-order on 1 cores theorem proving
0.43/0.63	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.phiOMOZyRx/Vampire---4.8_22324
0.43/0.63	# Version: 3.0pre003-ho
2.08/2.36	# Preprocessing class: HMLMSMSMSSLCHSA.
2.08/2.36	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.08/2.36	# Starting new_ho_10 with 30s (1) cores
2.08/2.36	# new_ho_10 with pid 22504 completed with status 0
2.08/2.36	# Result found by new_ho_10
2.08/2.36	# Preprocessing class: HMLMSMSMSSLCHSA.
2.08/2.36	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.08/2.36	# Starting new_ho_10 with 30s (1) cores
2.08/2.36	# No SInE strategy applied
2.08/2.36	# Search class: HGHSM-SMLM31-MHSFFSBC
2.08/2.36	# partial match(1): HGHSM-SMLM32-MHSFFSBC
2.08/2.36	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
2.08/2.36	# Starting full_lambda_3 with 13s (1) cores
2.08/2.36	# full_lambda_3 with pid 22505 completed with status 0
2.08/2.36	# Result found by full_lambda_3
2.08/2.36	# Preprocessing class: HMLMSMSMSSLCHSA.
2.08/2.36	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
2.08/2.36	# Starting new_ho_10 with 30s (1) cores
2.08/2.36	# No SInE strategy applied
2.08/2.36	# Search class: HGHSM-SMLM31-MHSFFSBC
2.08/2.36	# partial match(1): HGHSM-SMLM32-MHSFFSBC
2.08/2.36	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
2.08/2.36	# Starting full_lambda_3 with 13s (1) cores
2.08/2.36	# Preprocessing time       : 0.031 s
2.08/2.36	
2.08/2.36	# Proof found!
2.08/2.36	# SZS status Theorem
2.08/2.36	# SZS output start CNFRefutation
2.08/2.36	thf(decl_22, type, finite_card_nat: set_nat > nat).
2.08/2.36	thf(decl_23, type, finite_card_real: set_real > nat).
2.08/2.36	thf(decl_24, type, finite_card_set_a: set_set_a > nat).
2.08/2.36	thf(decl_25, type, finite_card_a: set_a > nat).
2.08/2.36	thf(decl_26, type, finite_finite_int: set_int > $o).
2.08/2.36	thf(decl_27, type, finite_finite_nat: set_nat > $o).
2.08/2.36	thf(decl_28, type, finite_finite_real: set_real > $o).
2.08/2.36	thf(decl_29, type, finite1152437895449049373et_nat: set_set_nat > $o).
2.08/2.36	thf(decl_30, type, finite9007344921179782393t_real: set_set_real > $o).
2.08/2.36	thf(decl_31, type, finite_finite_set_a: set_set_a > $o).
2.08/2.36	thf(decl_32, type, finite_finite_a: set_a > $o).
2.08/2.36	thf(decl_33, type, minus_minus_int: int > int > int).
2.08/2.36	thf(decl_34, type, minus_minus_nat: nat > nat > nat).
2.08/2.36	thf(decl_35, type, minus_minus_real: real > real > real).
2.08/2.36	thf(decl_36, type, minus_minus_set_nat: set_nat > set_nat > set_nat).
2.08/2.36	thf(decl_37, type, minus_minus_set_real: set_real > set_real > set_real).
2.08/2.36	thf(decl_38, type, minus_5736297505244876581_set_a: set_set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_39, type, minus_minus_set_a: set_a > set_a > set_a).
2.08/2.36	thf(decl_40, type, plus_plus_int: int > int > int).
2.08/2.36	thf(decl_41, type, plus_plus_nat: nat > nat > nat).
2.08/2.36	thf(decl_42, type, plus_plus_real: real > real > real).
2.08/2.36	thf(decl_43, type, times_times_nat: nat > nat > nat).
2.08/2.36	thf(decl_44, type, times_times_real: real > real > real).
2.08/2.36	thf(decl_45, type, zero_zero_int: int).
2.08/2.36	thf(decl_46, type, zero_zero_nat: nat).
2.08/2.36	thf(decl_47, type, zero_zero_real: real).
2.08/2.36	thf(decl_48, type, nO_MAT3201932972334532047_set_a: set_real > set_a > $o).
2.08/2.36	thf(decl_49, type, nO_MAT8518843428946182283_set_a: set_set_a > set_a > $o).
2.08/2.36	thf(decl_50, type, nO_MATCH_set_a_set_a: set_a > set_a > $o).
2.08/2.36	thf(decl_51, type, inf_inf_int: int > int > int).
2.08/2.36	thf(decl_52, type, inf_inf_nat: nat > nat > nat).
2.08/2.36	thf(decl_53, type, inf_inf_real: real > real > real).
2.08/2.36	thf(decl_54, type, inf_inf_set_nat: set_nat > set_nat > set_nat).
2.08/2.36	thf(decl_55, type, inf_inf_set_real: set_real > set_real > set_real).
2.08/2.36	thf(decl_56, type, inf_inf_set_set_a: set_set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_57, type, inf_inf_set_a: set_a > set_a > set_a).
2.08/2.36	thf(decl_58, type, sup_sup_int: int > int > int).
2.08/2.36	thf(decl_59, type, sup_sup_nat: nat > nat > nat).
2.08/2.36	thf(decl_60, type, sup_sup_real: real > real > real).
2.08/2.36	thf(decl_61, type, sup_sup_set_nat: set_nat > set_nat > set_nat).
2.08/2.36	thf(decl_62, type, sup_sup_set_real: set_real > set_real > set_real).
2.08/2.36	thf(decl_63, type, sup_sup_set_set_a: set_set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_64, type, sup_sup_set_a: set_a > set_a > set_a).
2.08/2.36	thf(decl_65, type, lattic3629708407755379051n_real: set_real > real).
2.08/2.36	thf(decl_66, type, semiri1314217659103216013at_int: nat > int).
2.08/2.36	thf(decl_67, type, semiri5074537144036343181t_real: nat > real).
2.08/2.36	thf(decl_68, type, bot_bot_nat_o: nat > $o).
2.08/2.36	thf(decl_69, type, bot_bot_real_o: real > $o).
2.08/2.36	thf(decl_70, type, bot_bot_set_a_o: set_a > $o).
2.08/2.36	thf(decl_71, type, bot_bot_a_o: a > $o).
2.08/2.36	thf(decl_72, type, bot_bot_nat: nat).
2.08/2.36	thf(decl_73, type, bot_bot_set_int: set_int).
2.08/2.36	thf(decl_74, type, bot_bot_set_nat: set_nat).
2.08/2.36	thf(decl_75, type, bot_bot_set_real: set_real).
2.08/2.36	thf(decl_76, type, bot_bot_set_set_real: set_set_real).
2.08/2.36	thf(decl_77, type, bot_bo3380559777022489994_set_a: set_set_set_a).
2.08/2.36	thf(decl_78, type, bot_bot_set_set_a: set_set_a).
2.08/2.36	thf(decl_79, type, bot_bot_set_a: set_a).
2.08/2.36	thf(decl_80, type, ord_less_nat: nat > nat > $o).
2.08/2.36	thf(decl_81, type, ord_less_real: real > real > $o).
2.08/2.36	thf(decl_82, type, ord_less_eq_int: int > int > $o).
2.08/2.36	thf(decl_83, type, ord_less_eq_nat: nat > nat > $o).
2.08/2.36	thf(decl_84, type, ord_less_eq_real: real > real > $o).
2.08/2.36	thf(decl_85, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
2.08/2.36	thf(decl_86, type, ord_less_eq_set_real: set_real > set_real > $o).
2.08/2.36	thf(decl_87, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o).
2.08/2.36	thf(decl_88, type, ord_less_eq_set_a: set_a > set_a > $o).
2.08/2.36	thf(decl_89, type, pluenn3038260743871226533mset_a: set_a > (a > a > a) > set_a > set_a > set_a).
2.08/2.36	thf(decl_90, type, pluenn895083305082786853setp_a: set_a > (a > a > a) > (a > $o) > (a > $o) > a > $o).
2.08/2.36	thf(decl_91, type, divide_divide_nat: nat > nat > nat).
2.08/2.36	thf(decl_92, type, divide_divide_real: real > real > real).
2.08/2.36	thf(decl_93, type, collect_nat: (nat > $o) > set_nat).
2.08/2.36	thf(decl_94, type, collect_real: (real > $o) > set_real).
2.08/2.36	thf(decl_95, type, collect_set_a: (set_a > $o) > set_set_a).
2.08/2.36	thf(decl_96, type, collect_a: (a > $o) > set_a).
2.08/2.36	thf(decl_97, type, pow_nat: set_nat > set_set_nat).
2.08/2.36	thf(decl_98, type, pow_real: set_real > set_set_real).
2.08/2.36	thf(decl_99, type, pow_set_a: set_set_a > set_set_set_a).
2.08/2.36	thf(decl_100, type, pow_a: set_a > set_set_a).
2.08/2.36	thf(decl_101, type, image_set_a_real: (set_a > real) > set_set_a > set_real).
2.08/2.36	thf(decl_102, type, insert_nat: nat > set_nat > set_nat).
2.08/2.36	thf(decl_103, type, insert_real: real > set_real > set_real).
2.08/2.36	thf(decl_104, type, insert_set_real: set_real > set_set_real > set_set_real).
2.08/2.36	thf(decl_105, type, insert_set_set_a: set_set_a > set_set_set_a > set_set_set_a).
2.08/2.36	thf(decl_106, type, insert_set_a: set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_107, type, insert_a: a > set_a > set_a).
2.08/2.36	thf(decl_108, type, fChoice_set_a: (set_a > $o) > set_a).
2.08/2.36	thf(decl_109, type, member_int: int > set_int > $o).
2.08/2.36	thf(decl_110, type, member_nat: nat > set_nat > $o).
2.08/2.36	thf(decl_111, type, member_real: real > set_real > $o).
2.08/2.36	thf(decl_112, type, member_set_real: set_real > set_set_real > $o).
2.08/2.36	thf(decl_113, type, member_set_set_a: set_set_a > set_set_set_a > $o).
2.08/2.36	thf(decl_114, type, member_set_a: set_a > set_set_a > $o).
2.08/2.36	thf(decl_115, type, member_a: a > set_a > $o).
2.08/2.36	thf(decl_116, type, a0: set_a).
2.08/2.36	thf(decl_117, type, a2: set_a).
2.08/2.36	thf(decl_118, type, a3: set_a).
2.08/2.36	thf(decl_119, type, b: set_a).
2.08/2.36	thf(decl_120, type, c: set_a).
2.08/2.36	thf(decl_121, type, ca: set_a).
2.08/2.36	thf(decl_122, type, g: set_a).
2.08/2.36	thf(decl_123, type, k0: real).
2.08/2.36	thf(decl_124, type, ks: set_real).
2.08/2.36	thf(decl_125, type, k: real).
2.08/2.36	thf(decl_126, type, addition: a > a > a).
2.08/2.36	thf(decl_127, type, x: a).
2.08/2.36	thf(decl_128, type, esk1_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_129, type, esk2_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_130, type, esk3_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_131, type, esk4_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_132, type, esk5_3: (a > $o) > (a > $o) > a > a).
2.08/2.36	thf(decl_133, type, esk6_3: (a > $o) > (a > $o) > a > a).
2.08/2.36	thf(decl_134, type, esk7_3: (a > $o) > (a > $o) > a > a).
2.08/2.36	thf(decl_135, type, esk8_3: (a > $o) > (a > $o) > a > a).
2.08/2.36	thf(decl_136, type, esk9_2: (a > $o) > (a > $o) > a).
2.08/2.36	thf(decl_137, type, esk10_2: (nat > $o) > (nat > $o) > nat).
2.08/2.36	thf(decl_138, type, esk11_1: (nat > $o) > nat).
2.08/2.36	thf(decl_139, type, esk12_1: (a > $o) > a).
2.08/2.36	thf(decl_140, type, esk13_1: (real > $o) > real).
2.08/2.36	thf(decl_141, type, esk14_1: (set_a > $o) > set_a).
2.08/2.36	thf(decl_142, type, esk15_1: (nat > $o) > nat).
2.08/2.36	thf(decl_143, type, esk16_1: (a > $o) > a).
2.08/2.36	thf(decl_144, type, esk17_1: (real > $o) > real).
2.08/2.36	thf(decl_145, type, esk18_1: (set_a > $o) > set_a).
2.08/2.36	thf(decl_146, type, esk19_1: set_a > a).
2.08/2.36	thf(decl_147, type, esk20_1: set_real > real).
2.08/2.36	thf(decl_148, type, esk21_1: set_set_a > set_a).
2.08/2.36	thf(decl_149, type, esk22_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_150, type, esk23_2: set_real > set_real > real).
2.08/2.36	thf(decl_151, type, esk24_2: set_a > set_a > a).
2.08/2.36	thf(decl_152, type, esk25_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_153, type, esk26_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_154, type, esk27_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_155, type, esk28_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_156, type, esk29_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_157, type, esk30_3: set_a > set_a > (a > $o) > a).
2.08/2.36	thf(decl_158, type, esk31_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_159, type, esk32_2: set_real > set_real > real).
2.08/2.36	thf(decl_160, type, esk33_2: set_a > set_a > a).
2.08/2.36	thf(decl_161, type, esk34_3: set_a > set_a > set_a > set_a).
2.08/2.36	thf(decl_162, type, esk35_3: set_a > set_a > set_a > set_a).
2.08/2.36	thf(decl_163, type, esk36_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_164, type, esk37_2: set_real > set_real > real).
2.08/2.36	thf(decl_165, type, esk38_2: set_a > set_a > a).
2.08/2.36	thf(decl_166, type, esk39_2: (nat > $o) > (nat > $o) > nat).
2.08/2.36	thf(decl_167, type, esk40_2: (a > $o) > (a > $o) > a).
2.08/2.36	thf(decl_168, type, esk41_2: (nat > $o) > (nat > $o) > nat).
2.08/2.36	thf(decl_169, type, esk42_2: (a > $o) > (a > $o) > a).
2.08/2.36	thf(decl_170, type, esk43_4: set_set_a > set_set_a > (set_a > $o) > (set_a > $o) > set_a).
2.08/2.36	thf(decl_171, type, esk44_4: set_real > set_real > (real > $o) > (real > $o) > real).
2.08/2.36	thf(decl_172, type, esk45_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat).
2.08/2.36	thf(decl_173, type, esk46_4: set_a > set_a > (a > $o) > (a > $o) > a).
2.08/2.36	thf(decl_174, type, esk47_1: set_a > a).
2.08/2.36	thf(decl_175, type, esk48_1: set_real > real).
2.08/2.36	thf(decl_176, type, esk49_1: set_set_a > set_a).
2.08/2.36	thf(decl_177, type, esk50_1: set_a > a).
2.08/2.36	thf(decl_178, type, esk51_1: set_real > real).
2.08/2.36	thf(decl_179, type, esk52_1: set_set_a > set_a).
2.08/2.36	thf(decl_180, type, esk53_2: a > set_a > set_a).
2.08/2.36	thf(decl_181, type, esk54_2: set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_182, type, esk55_2: real > set_real > set_real).
2.08/2.36	thf(decl_183, type, esk56_4: a > set_a > a > set_a > set_a).
2.08/2.36	thf(decl_184, type, esk57_4: set_a > set_set_a > set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_185, type, esk58_4: real > set_real > real > set_real > set_real).
2.08/2.36	thf(decl_186, type, esk59_2: a > set_a > set_a).
2.08/2.36	thf(decl_187, type, esk60_2: set_a > set_set_a > set_set_a).
2.08/2.36	thf(decl_188, type, esk61_2: real > set_real > set_real).
2.08/2.36	thf(decl_189, type, esk62_2: set_a > set_a > a).
2.08/2.36	thf(decl_190, type, esk63_2: set_a > set_a > a).
2.08/2.36	thf(decl_191, type, esk64_2: set_real > set_real > real).
2.08/2.36	thf(decl_192, type, esk65_2: set_real > set_real > real).
2.08/2.36	thf(decl_193, type, esk66_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_194, type, esk67_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_195, type, esk68_2: set_a > set_a > a).
2.08/2.36	thf(decl_196, type, esk69_2: set_real > set_real > real).
2.08/2.36	thf(decl_197, type, esk70_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_198, type, esk71_2: set_a > set_a > a).
2.08/2.36	thf(decl_199, type, esk72_2: set_real > set_real > real).
2.08/2.36	thf(decl_200, type, esk73_2: set_set_a > set_set_a > set_a).
2.08/2.36	thf(decl_201, type, esk74_2: set_real > nat > set_real).
2.08/2.36	thf(decl_202, type, esk75_2: set_nat > nat > set_nat).
2.08/2.36	thf(decl_203, type, esk76_2: set_a > nat > set_a).
2.08/2.36	thf(decl_204, type, esk77_2: nat > set_real > set_real).
2.08/2.36	thf(decl_205, type, esk78_2: nat > set_nat > set_nat).
2.08/2.36	thf(decl_206, type, esk79_2: nat > set_a > set_a).
2.08/2.36	thf(decl_207, type, esk80_3: set_real > nat > set_real > set_real).
2.08/2.36	thf(decl_208, type, esk81_3: set_nat > nat > set_nat > set_nat).
2.08/2.36	thf(decl_209, type, esk82_3: set_a > nat > set_a > set_a).
2.08/2.36	thf(decl_210, type, esk83_2: set_set_a > set_a > set_a).
2.08/2.36	thf(decl_211, type, esk84_2: set_nat > nat > nat).
2.08/2.36	thf(decl_212, type, esk85_2: set_real > real > real).
2.08/2.36	thf(decl_213, type, esk86_2: set_int > int > int).
2.08/2.36	thf(decl_214, type, esk87_2: set_set_a > set_a > set_a).
2.08/2.36	thf(decl_215, type, esk88_2: set_nat > nat > nat).
2.08/2.36	thf(decl_216, type, esk89_2: set_real > real > real).
2.08/2.36	thf(decl_217, type, esk90_2: set_int > int > int).
2.08/2.36	thf(decl_218, type, esk91_1: set_set_a > set_a).
2.08/2.36	thf(decl_219, type, esk92_1: set_nat > nat).
2.08/2.36	thf(decl_220, type, esk93_1: set_real > real).
2.08/2.36	thf(decl_221, type, esk94_1: set_int > int).
2.08/2.36	thf(decl_222, type, esk95_1: set_set_a > set_a).
2.08/2.36	thf(decl_223, type, esk96_1: set_nat > nat).
2.08/2.36	thf(decl_224, type, esk97_1: set_real > real).
2.08/2.36	thf(decl_225, type, esk98_1: set_int > int).
2.08/2.36	thf(decl_226, type, esk99_1: set_nat > set_nat).
2.08/2.36	thf(decl_227, type, esk100_1: set_nat > nat).
2.08/2.36	thf(decl_228, type, esk101_1: set_a > set_a).
2.08/2.36	thf(decl_229, type, esk102_1: set_a > a).
2.08/2.36	thf(decl_230, type, esk103_1: set_real > set_real).
2.08/2.36	thf(decl_231, type, esk104_1: set_real > real).
2.08/2.36	thf(decl_232, type, esk105_1: set_set_a > set_set_a).
2.08/2.36	thf(decl_233, type, esk106_1: set_set_a > set_a).
2.08/2.36	thf(decl_234, type, esk107_1: set_nat > set_nat).
2.08/2.36	thf(decl_235, type, esk108_1: set_nat > nat).
2.08/2.36	thf(decl_236, type, esk109_1: set_a > set_a).
2.08/2.36	thf(decl_237, type, esk110_1: set_a > a).
2.08/2.36	thf(decl_238, type, esk111_1: set_real > set_real).
2.08/2.36	thf(decl_239, type, esk112_1: set_real > real).
2.08/2.36	thf(decl_240, type, esk113_1: set_set_a > set_set_a).
2.08/2.36	thf(decl_241, type, esk114_1: set_set_a > set_a).
2.08/2.36	thf(decl_242, type, esk115_2: set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_243, type, esk116_2: set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_244, type, esk117_2: set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_245, type, esk118_2: set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_246, type, esk119_2: set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_247, type, esk120_2: set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_248, type, esk121_2: set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_249, type, esk122_2: set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_250, type, esk123_2: set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_251, type, esk124_2: set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_252, type, esk125_2: set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_253, type, esk126_2: set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_254, type, esk127_2: set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_255, type, esk128_2: set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_256, type, esk129_2: set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_257, type, esk130_2: set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_258, type, esk131_2: set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_259, type, esk132_2: set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_260, type, esk133_2: set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_261, type, esk134_2: set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_262, type, esk135_1: (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_263, type, esk136_1: (set_nat > $o) > nat).
2.08/2.36	thf(decl_264, type, esk137_1: (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_265, type, esk138_1: (set_a > $o) > set_a).
2.08/2.36	thf(decl_266, type, esk139_1: (set_a > $o) > a).
2.08/2.36	thf(decl_267, type, esk140_1: (set_a > $o) > set_a).
2.08/2.36	thf(decl_268, type, esk141_1: (set_real > $o) > set_real).
2.08/2.36	thf(decl_269, type, esk142_1: (set_real > $o) > real).
2.08/2.36	thf(decl_270, type, esk143_1: (set_real > $o) > set_real).
2.08/2.36	thf(decl_271, type, esk144_1: (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_272, type, esk145_1: (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_273, type, esk146_1: (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_274, type, esk147_2: set_real > nat > set_real).
2.08/2.36	thf(decl_275, type, esk148_2: set_nat > nat > set_nat).
2.08/2.36	thf(decl_276, type, esk149_2: set_a > nat > set_a).
2.08/2.36	thf(decl_277, type, esk150_3: set_nat > set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_278, type, esk151_3: set_nat > set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_279, type, esk152_3: set_real > set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_280, type, esk153_3: set_real > set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_281, type, esk154_3: set_set_a > set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_282, type, esk155_3: set_set_a > set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_283, type, esk156_3: set_a > set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_284, type, esk157_3: set_a > set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_285, type, esk158_3: set_nat > set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_286, type, esk159_3: set_nat > set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_287, type, esk160_3: set_real > set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_288, type, esk161_3: set_real > set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_289, type, esk162_3: set_set_a > set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_290, type, esk163_3: set_set_a > set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_291, type, esk164_3: set_a > set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_292, type, esk165_3: set_a > set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_293, type, esk166_2: (set_nat > $o) > set_nat > set_nat).
2.08/2.36	thf(decl_294, type, esk167_2: (set_real > $o) > set_real > set_real).
2.08/2.36	thf(decl_295, type, esk168_2: (set_a > $o) > set_a > set_a).
2.08/2.36	thf(decl_296, type, esk169_2: (set_set_a > $o) > set_set_a > set_set_a).
2.08/2.36	thf(decl_297, type, esk170_2: set_nat > (set_nat > $o) > nat).
2.08/2.36	thf(decl_298, type, esk171_2: set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_299, type, esk172_2: set_real > (set_real > $o) > real).
2.08/2.36	thf(decl_300, type, esk173_2: set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_301, type, esk174_2: set_a > (set_a > $o) > a).
2.08/2.36	thf(decl_302, type, esk175_2: set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_303, type, esk176_2: set_set_a > (set_set_a > $o) > set_a).
2.08/2.36	thf(decl_304, type, esk177_2: set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_305, type, esk178_2: (set_nat > $o) > set_nat > set_nat).
2.08/2.36	thf(decl_306, type, esk179_2: (set_real > $o) > set_real > set_real).
2.08/2.36	thf(decl_307, type, esk180_2: (set_set_a > $o) > set_set_a > set_set_a).
2.08/2.36	thf(decl_308, type, esk181_2: (set_a > $o) > set_a > set_a).
2.08/2.36	thf(decl_309, type, esk182_2: set_nat > (set_nat > $o) > set_nat).
2.08/2.36	thf(decl_310, type, esk183_2: set_real > (set_real > $o) > set_real).
2.08/2.36	thf(decl_311, type, esk184_2: set_set_a > (set_set_a > $o) > set_set_a).
2.08/2.36	thf(decl_312, type, esk185_2: set_a > (set_a > $o) > set_a).
2.08/2.36	thf(decl_313, type, esk186_2: nat > nat > nat).
2.08/2.36	thf(decl_314, type, esk187_2: nat > nat > nat).
2.08/2.36	thf(decl_315, type, esk188_2: (nat > $o) > nat > nat).
2.08/2.36	thf(decl_316, type, esk189_1: (nat > $o) > nat).
2.08/2.36	thf(decl_317, type, esk190_2: nat > nat > nat).
2.08/2.36	thf(decl_318, type, esk191_2: nat > nat > nat).
2.08/2.36	thf(decl_319, type, esk192_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_320, type, esk193_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_321, type, esk194_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_322, type, esk195_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_323, type, esk196_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_324, type, esk197_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_325, type, esk198_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_326, type, esk199_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_327, type, esk200_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_328, type, esk201_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_329, type, esk202_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_330, type, esk203_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_331, type, esk204_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_332, type, esk205_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_333, type, esk206_1: (real > real > real) > real).
2.08/2.36	thf(decl_334, type, esk207_1: (real > real > real) > real).
2.08/2.36	thf(decl_335, type, esk208_1: (real > real > real) > real).
2.08/2.36	thf(decl_336, type, esk209_1: (real > real > real) > real).
2.08/2.36	thf(decl_337, type, esk210_1: (real > real > real) > real).
2.08/2.36	thf(decl_338, type, esk211_1: (real > real > real) > real).
2.08/2.36	thf(decl_339, type, esk212_1: (real > real > real) > real).
2.08/2.36	thf(decl_340, type, esk213_1: (int > int > int) > int).
2.08/2.36	thf(decl_341, type, esk214_1: (int > int > int) > int).
2.08/2.36	thf(decl_342, type, esk215_1: (int > int > int) > int).
2.08/2.36	thf(decl_343, type, esk216_1: (int > int > int) > int).
2.08/2.36	thf(decl_344, type, esk217_1: (int > int > int) > int).
2.08/2.36	thf(decl_345, type, esk218_1: (int > int > int) > int).
2.08/2.36	thf(decl_346, type, esk219_1: (int > int > int) > int).
2.08/2.36	thf(decl_347, type, esk220_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_348, type, esk221_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_349, type, esk222_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_350, type, esk223_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_351, type, esk224_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_352, type, esk225_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_353, type, esk226_1: (set_a > set_a > set_a) > set_a).
2.08/2.36	thf(decl_354, type, esk227_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_355, type, esk228_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_356, type, esk229_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_357, type, esk230_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_358, type, esk231_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_359, type, esk232_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_360, type, esk233_1: (nat > nat > nat) > nat).
2.08/2.36	thf(decl_361, type, esk234_1: (real > real > real) > real).
2.08/2.36	thf(decl_362, type, esk235_1: (real > real > real) > real).
2.08/2.36	thf(decl_363, type, esk236_1: (real > real > real) > real).
2.08/2.36	thf(decl_364, type, esk237_1: (real > real > real) > real).
2.08/2.36	thf(decl_365, type, esk238_1: (real > real > real) > real).
2.08/2.36	thf(decl_366, type, esk239_1: (real > real > real) > real).
2.08/2.36	thf(decl_367, type, esk240_1: (real > real > real) > real).
2.08/2.36	thf(decl_368, type, esk241_1: (int > int > int) > int).
2.08/2.36	thf(decl_369, type, esk242_1: (int > int > int) > int).
2.08/2.36	thf(decl_370, type, esk243_1: (int > int > int) > int).
2.08/2.36	thf(decl_371, type, esk244_1: (int > int > int) > int).
2.08/2.36	thf(decl_372, type, esk245_1: (int > int > int) > int).
2.08/2.36	thf(decl_373, type, esk246_1: (int > int > int) > int).
2.08/2.36	thf(decl_374, type, esk247_1: (int > int > int) > int).
2.08/2.36	thf(decl_375, type, esk248_1: (nat > nat) > nat).
2.08/2.36	thf(decl_376, type, esk249_1: set_nat > nat).
2.08/2.36	thf(decl_377, type, esk250_2: set_nat > nat > nat).
2.08/2.36	thf(decl_378, type, esk251_2: (nat > $o) > nat > nat).
2.08/2.36	thf(decl_379, type, esk252_1: (nat > $o) > nat).
2.08/2.36	thf(decl_380, type, esk253_0: set_a).
2.08/2.36	thf(decl_381, type, esk254_1: (nat > nat) > nat).
2.08/2.36	thf(decl_382, type, esk255_1: (nat > nat) > nat).
2.08/2.36	thf(decl_383, type, esk256_1: (set_a > $o) > set_a).
2.08/2.36	thf(decl_384, type, epred1_1: set_set_a > set_a > $o).
2.08/2.36	thf(decl_385, type, epred2_1: set_real > real > $o).
2.08/2.36	thf(decl_386, type, epred3_1: set_a > a > $o).
2.08/2.36	thf(decl_387, type, epred4_1: set_nat > nat > $o).
2.08/2.36	thf(decl_388, type, epred5_0: a > $o).
2.08/2.36	thf(decl_389, type, epred6_1: nat > nat > $o).
2.08/2.36	thf(decl_390, type, epred7_2: nat > (nat > nat) > nat > $o).
2.08/2.36	thf(decl_391, type, epred8_2: set_a > set_a > a > $o).
2.08/2.36	thf(decl_392, type, epred9_0: set_a > $o).
2.08/2.36	thf(decl_393, type, esk257_0: set_a > real).
2.08/2.36	thf(decl_394, type, epred10_1: nat > nat > $o).
2.08/2.36	thf(decl_395, type, esk258_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_396, type, esk259_3: a > set_a > set_a > a).
2.08/2.36	thf(decl_397, type, esk260_0: a).
2.08/2.36	thf(decl_398, type, esk261_1: set_set_a > set_a).
2.08/2.36	thf(decl_399, type, esk262_1: set_real > real).
2.08/2.36	thf(decl_400, type, esk263_1: set_nat > nat).
2.08/2.36	thf(decl_401, type, esk264_1: set_a > a).
2.08/2.36	thf(decl_402, type, esk265_1: set_a > a).
2.08/2.36	thf(decl_403, type, esk266_1: nat > nat).
2.08/2.36	thf(decl_404, type, esk267_2: set_nat > nat > nat).
2.08/2.36	thf(decl_405, type, esk268_2: set_a > set_a > a).
2.08/2.36	thf(decl_406, type, esk269_3: set_a > set_a > set_a > a).
2.08/2.36	thf(decl_407, type, esk270_2: set_a > set_a > a).
2.08/2.36	thf(decl_408, type, esk271_2: set_nat > nat > nat).
2.08/2.36	thf(decl_409, type, esk272_2: set_nat > nat > nat).
2.08/2.36	thf(fact_50_insert__disjoint_I2_J, axiom, ![X3:a, X4:set_a, X5:set_a]:((((bot_bot_set_a)=(inf_inf_set_a @ (insert_a @ X3 @ X4) @ X5))<=>(~((member_a @ X3 @ X5))&((bot_bot_set_a)=(inf_inf_set_a @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_50_insert__disjoint_I2_J)).
2.08/2.36	thf(fact_633_finite_Osimps, axiom, ((finite_finite_a)=(^[X889:set_a]:((((X889)=(bot_bot_set_a))|?[X890:set_a, X9:a]:((((X889)=(insert_a @ X9 @ X890))&(finite_finite_a @ X890))))))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_633_finite_Osimps)).
2.08/2.36	thf(fact_39_Diff__disjoint, axiom, ![X4:set_a, X5:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ X4))=(bot_bot_set_a))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_39_Diff__disjoint)).
2.08/2.36	thf(fact_424_Diff__Int__distrib2, axiom, ![X4:set_a, X5:set_a, X11:set_a]:(((inf_inf_set_a @ (minus_minus_set_a @ X4 @ X5) @ X11)=(minus_minus_set_a @ (inf_inf_set_a @ X4 @ X11) @ (inf_inf_set_a @ X5 @ X11)))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_424_Diff__Int__distrib2)).
2.08/2.36	thf(fact_432_Int__Diff, axiom, ![X4:set_a, X5:set_a, X11:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X4 @ X5) @ X11)=(inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ X11)))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_432_Int__Diff)).
2.08/2.36	thf(fact_364_Int__commute, axiom, ((inf_inf_set_a)=(^[X482:set_a, X483:set_a]:(inf_inf_set_a @ X483 @ X482))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_364_Int__commute)).
2.08/2.36	thf(fact_1__092_060open_062finite_AA_092_060close_062, axiom, (finite_finite_a @ a3), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_1__092_060open_062finite_AA_092_060close_062)).
2.08/2.36	thf(fact_5_A_I2_J, axiom, ((a3)!=(bot_bot_set_a)), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_5_A_I2_J)).
2.08/2.36	thf(fact_430_Diff__Int2, axiom, ![X4:set_a, X11:set_a, X5:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X4 @ X11) @ (inf_inf_set_a @ X5 @ X11))=(minus_minus_set_a @ (inf_inf_set_a @ X4 @ X11) @ X5))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_430_Diff__Int2)).
2.08/2.36	thf(fact_365_Int__absorb, axiom, ![X4:set_a]:(((inf_inf_set_a @ X4 @ X4)=(X4))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_365_Int__absorb)).
2.08/2.36	thf(fact_182_Un__Int__eq_I3_J, axiom, ![X216:set_a, X217:set_a]:(((inf_inf_set_a @ X216 @ (sup_sup_set_a @ X216 @ X217))=(X216))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_182_Un__Int__eq_I3_J)).
2.08/2.36	thf(fact_190_Un__Diff__cancel, axiom, ![X4:set_a, X5:set_a]:(((sup_sup_set_a @ X4 @ (minus_minus_set_a @ X5 @ X4))=(sup_sup_set_a @ X4 @ X5))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_190_Un__Diff__cancel)).
2.08/2.36	thf(fact_254_Un__empty__right, axiom, ![X4:set_a]:(((sup_sup_set_a @ X4 @ bot_bot_set_a)=(X4))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_254_Un__empty__right)).
2.08/2.36	thf(fact_768_add_Ocommute, axiom, ((plus_plus_nat)=(^[X1202:nat, X1203:nat]:(plus_plus_nat @ X1203 @ X1202))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_768_add_Ocommute)).
2.08/2.36	thf(conj_0, conjecture, ((plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ (minus_minus_set_a @ a3 @ a2) @ (insert_a @ x @ bot_bot_set_a))))=(plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (inf_inf_set_a @ (minus_minus_set_a @ a3 @ a2) @ g)))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', conj_0)).
2.08/2.36	thf(fact_458_card__sumset__singleton__eq, axiom, ![X4:set_a, X3:a]:(((finite_finite_a @ X4)=>(((member_a @ X3 @ g)=>((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ (insert_a @ X3 @ bot_bot_set_a)))=(finite_card_a @ (inf_inf_set_a @ X4 @ g))))&(~((member_a @ X3 @ g))=>((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ (insert_a @ X3 @ bot_bot_set_a)))=(zero_zero_nat)))))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_458_card__sumset__singleton__eq)).
2.08/2.36	thf(fact_485_finite__Int, axiom, ![X667:set_a, X668:set_a]:((((finite_finite_a @ X667)|(finite_finite_a @ X668))=>(finite_finite_a @ (inf_inf_set_a @ X667 @ X668)))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_485_finite__Int)).
2.08/2.36	thf(fact_25_calculation, axiom, ((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (insert_a @ x @ ca)))=(plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ (minus_minus_set_a @ a3 @ a2) @ (insert_a @ x @ bot_bot_set_a))))), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_25_calculation)).
2.08/2.36	thf(fact_2__092_060open_062x_A_092_060in_062_AG_092_060close_062, axiom, (member_a @ x @ g), file('/export/starexec/sandbox/tmp/tmp.phiOMOZyRx/Vampire---4.8_22324', fact_2__092_060open_062x_A_092_060in_062_AG_092_060close_062)).
2.08/2.36	thf(c_0_19, plain, ![X3:a, X4:set_a, X5:set_a]:((((bot_bot_set_a)=(inf_inf_set_a @ (insert_a @ X3 @ X4) @ X5))<=>(~(member_a @ X3 @ X5)&((bot_bot_set_a)=(inf_inf_set_a @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[fact_50_insert__disjoint_I2_J])).
2.08/2.36	thf(c_0_20, plain, ![X5241:set_a]:(((finite_finite_a @ X5241)<=>(((X5241)=(bot_bot_set_a))|?[X890:set_a, X9:a]:((((X5241)=(insert_a @ X9 @ X890))&(finite_finite_a @ X890)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_633_finite_Osimps])])).
2.08/2.36	thf(c_0_21, plain, ![X5421:a, X5422:set_a, X5423:set_a]:((((~(member_a @ X5421 @ X5423)|((bot_bot_set_a)!=(inf_inf_set_a @ (insert_a @ X5421 @ X5422) @ X5423)))&(((bot_bot_set_a)=(inf_inf_set_a @ X5422 @ X5423))|((bot_bot_set_a)!=(inf_inf_set_a @ (insert_a @ X5421 @ X5422) @ X5423))))&((member_a @ X5421 @ X5423)|((bot_bot_set_a)!=(inf_inf_set_a @ X5422 @ X5423))|((bot_bot_set_a)=(inf_inf_set_a @ (insert_a @ X5421 @ X5422) @ X5423))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
2.08/2.36	thf(c_0_22, plain, ![X5393:set_a, X5394:set_a]:(((inf_inf_set_a @ X5393 @ (minus_minus_set_a @ X5394 @ X5393))=(bot_bot_set_a))), inference(variable_rename,[status(thm)],[fact_39_Diff__disjoint])).
2.08/2.36	thf(c_0_23, plain, ![X6887:set_a, X6890:set_a, X6891:set_a, X6892:a]:((((((X6887)=(insert_a @ (esk110_1 @ X6887) @ (esk109_1 @ X6887)))|((X6887)=(bot_bot_set_a))|~(finite_finite_a @ X6887))&((finite_finite_a @ (esk109_1 @ X6887))|((X6887)=(bot_bot_set_a))|~(finite_finite_a @ X6887)))&((((X6890)!=(bot_bot_set_a))|(finite_finite_a @ X6890))&(((X6890)!=(insert_a @ X6892 @ X6891))|~(finite_finite_a @ X6891)|(finite_finite_a @ X6890))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])])).
2.08/2.36	thf(c_0_24, plain, ![X6440:set_a, X6441:set_a, X6442:set_a]:(((inf_inf_set_a @ (minus_minus_set_a @ X6440 @ X6441) @ X6442)=(minus_minus_set_a @ (inf_inf_set_a @ X6440 @ X6442) @ (inf_inf_set_a @ X6441 @ X6442)))), inference(variable_rename,[status(thm)],[fact_424_Diff__Int__distrib2])).
2.08/2.36	thf(c_0_25, plain, ![X6462:set_a, X6463:set_a, X6464:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X6462 @ X6463) @ X6464)=(inf_inf_set_a @ X6462 @ (minus_minus_set_a @ X6463 @ X6464)))), inference(variable_rename,[status(thm)],[fact_432_Int__Diff])).
2.08/2.36	thf(c_0_26, plain, ![X5238:set_a, X5239:set_a]:(((inf_inf_set_a @ X5238 @ X5239)=(inf_inf_set_a @ X5239 @ X5238))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_364_Int__commute])])).
2.08/2.36	thf(c_0_27, plain, ![X1:a, X4:set_a, X5:set_a]:((((bot_bot_set_a)=(inf_inf_set_a @ X4 @ X5))|((bot_bot_set_a)!=(inf_inf_set_a @ (insert_a @ X1 @ X4) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_21])).
2.08/2.36	thf(c_0_28, plain, ![X5:set_a, X4:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ X4))=(bot_bot_set_a))), inference(split_conjunct,[status(thm)],[c_0_22])).
2.08/2.36	thf(c_0_29, plain, ![X4:set_a]:((((X4)=(insert_a @ (esk110_1 @ X4) @ (esk109_1 @ X4)))|((X4)=(bot_bot_set_a))|~((finite_finite_a @ X4)))), inference(split_conjunct,[status(thm)],[c_0_23])).
2.08/2.36	thf(c_0_30, plain, (finite_finite_a @ a3), inference(split_conjunct,[status(thm)],[fact_1__092_060open_062finite_AA_092_060close_062])).
2.08/2.36	thf(c_0_31, plain, ((a3)!=(bot_bot_set_a)), inference(split_conjunct,[status(thm)],[fact_5_A_I2_J])).
2.08/2.36	thf(c_0_32, plain, ![X6456:set_a, X6457:set_a, X6458:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X6456 @ X6457) @ (inf_inf_set_a @ X6458 @ X6457))=(minus_minus_set_a @ (inf_inf_set_a @ X6456 @ X6457) @ X6458))), inference(variable_rename,[status(thm)],[fact_430_Diff__Int2])).
2.08/2.36	thf(c_0_33, plain, ![X4:set_a, X5:set_a, X11:set_a]:(((inf_inf_set_a @ (minus_minus_set_a @ X4 @ X5) @ X11)=(minus_minus_set_a @ (inf_inf_set_a @ X4 @ X11) @ (inf_inf_set_a @ X5 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_24])).
2.08/2.36	thf(c_0_34, plain, ![X4:set_a, X5:set_a, X11:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X4 @ X5) @ X11)=(inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_25])).
2.08/2.36	thf(c_0_35, plain, ![X6260:set_a, X6261:set_a]:(((inf_inf_set_a @ X6260 @ X6261)=(inf_inf_set_a @ X6261 @ X6260))), inference(variable_rename,[status(thm)],[c_0_26])).
2.08/2.36	thf(c_0_36, plain, ![X1:a, X5:set_a, X4:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ (insert_a @ X1 @ X4)))=(bot_bot_set_a))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
2.08/2.36	thf(c_0_37, plain, ((insert_a @ (esk110_1 @ a3) @ (esk109_1 @ a3))=(a3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
2.08/2.36	thf(c_0_38, plain, ![X4:set_a, X5:set_a, X11:set_a]:(((minus_minus_set_a @ (inf_inf_set_a @ X4 @ X5) @ (inf_inf_set_a @ X11 @ X5))=(minus_minus_set_a @ (inf_inf_set_a @ X4 @ X5) @ X11))), inference(split_conjunct,[status(thm)],[c_0_32])).
2.08/2.36	thf(c_0_39, plain, ![X4:set_a, X11:set_a, X5:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ (inf_inf_set_a @ X11 @ X5)))=(inf_inf_set_a @ (minus_minus_set_a @ X4 @ X11) @ X5))), inference(rw,[status(thm)],[c_0_33, c_0_34])).
2.08/2.36	thf(c_0_40, plain, ![X6262:set_a]:(((inf_inf_set_a @ X6262 @ X6262)=(X6262))), inference(variable_rename,[status(thm)],[fact_365_Int__absorb])).
2.08/2.36	thf(c_0_41, plain, ![X5:set_a, X4:set_a]:(((inf_inf_set_a @ X4 @ X5)=(inf_inf_set_a @ X5 @ X4))), inference(split_conjunct,[status(thm)],[c_0_35])).
2.08/2.36	thf(c_0_42, plain, ![X4:set_a]:(((inf_inf_set_a @ (esk109_1 @ a3) @ (minus_minus_set_a @ X4 @ a3))=(bot_bot_set_a))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
2.08/2.36	thf(c_0_43, plain, ![X4:set_a, X11:set_a, X5:set_a]:(((inf_inf_set_a @ (minus_minus_set_a @ X4 @ X5) @ X11)=(inf_inf_set_a @ X4 @ (minus_minus_set_a @ X11 @ X5)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_34]), c_0_39]), c_0_34])).
2.08/2.36	thf(c_0_44, plain, ![X5734:set_a, X5735:set_a]:(((inf_inf_set_a @ X5734 @ (sup_sup_set_a @ X5734 @ X5735))=(X5734))), inference(variable_rename,[status(thm)],[fact_182_Un__Int__eq_I3_J])).
2.08/2.36	thf(c_0_45, plain, ![X5750:set_a, X5751:set_a]:(((sup_sup_set_a @ X5750 @ (minus_minus_set_a @ X5751 @ X5750))=(sup_sup_set_a @ X5750 @ X5751))), inference(variable_rename,[status(thm)],[fact_190_Un__Diff__cancel])).
2.08/2.36	thf(c_0_46, plain, ![X4:set_a]:(((inf_inf_set_a @ X4 @ X4)=(X4))), inference(split_conjunct,[status(thm)],[c_0_40])).
2.08/2.36	thf(c_0_47, plain, ![X4:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ (esk109_1 @ a3) @ a3))=(bot_bot_set_a))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])).
2.08/2.36	thf(c_0_48, plain, ![X5959:set_a]:(((sup_sup_set_a @ X5959 @ bot_bot_set_a)=(X5959))), inference(variable_rename,[status(thm)],[fact_254_Un__empty__right])).
2.08/2.36	thf(c_0_49, plain, ![X5244:nat, X5245:nat]:(((plus_plus_nat @ X5244 @ X5245)=(plus_plus_nat @ X5245 @ X5244))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_768_add_Ocommute])])).
2.08/2.36	thf(c_0_50, plain, ![X5:set_a, X4:set_a]:(((inf_inf_set_a @ X4 @ (sup_sup_set_a @ X4 @ X5))=(X4))), inference(split_conjunct,[status(thm)],[c_0_44])).
2.08/2.36	thf(c_0_51, plain, ![X4:set_a, X5:set_a]:(((sup_sup_set_a @ X4 @ (minus_minus_set_a @ X5 @ X4))=(sup_sup_set_a @ X4 @ X5))), inference(split_conjunct,[status(thm)],[c_0_45])).
2.08/2.36	thf(c_0_52, plain, ((minus_minus_set_a @ (esk109_1 @ a3) @ a3)=(bot_bot_set_a)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
2.08/2.36	thf(c_0_53, plain, ![X4:set_a]:(((sup_sup_set_a @ X4 @ bot_bot_set_a)=(X4))), inference(split_conjunct,[status(thm)],[c_0_48])).
2.08/2.36	thf(c_0_54, negated_conjecture, ((plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ (minus_minus_set_a @ a3 @ a2) @ (insert_a @ x @ bot_bot_set_a))))!=(plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (inf_inf_set_a @ (minus_minus_set_a @ a3 @ a2) @ g)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
2.08/2.36	thf(c_0_55, plain, ![X7260:nat, X7261:nat]:(((plus_plus_nat @ X7260 @ X7261)=(plus_plus_nat @ X7261 @ X7260))), inference(variable_rename,[status(thm)],[c_0_49])).
2.08/2.36	thf(c_0_56, plain, ![X4:set_a, X3:a]:(((finite_finite_a @ X4)=>(((member_a @ X3 @ g)=>((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ (insert_a @ X3 @ bot_bot_set_a)))=(finite_card_a @ (inf_inf_set_a @ X4 @ g))))&(~(member_a @ X3 @ g)=>((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ (insert_a @ X3 @ bot_bot_set_a)))=(zero_zero_nat)))))), inference(fof_simplification,[status(thm)],[fact_458_card__sumset__singleton__eq])).
2.08/2.36	thf(c_0_57, plain, ![X6583:set_a, X6584:set_a]:(((~(finite_finite_a @ X6583)|(finite_finite_a @ (inf_inf_set_a @ X6583 @ X6584)))&(~(finite_finite_a @ X6584)|(finite_finite_a @ (inf_inf_set_a @ X6583 @ X6584))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_485_finite__Int])])])).
2.08/2.36	thf(c_0_58, plain, ![X4:set_a, X5:set_a, X11:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ (sup_sup_set_a @ X4 @ X5) @ X11))=(minus_minus_set_a @ X4 @ X11))), inference(spm,[status(thm)],[c_0_34, c_0_50])).
2.08/2.36	thf(c_0_59, plain, ((sup_sup_set_a @ a3 @ (esk109_1 @ a3))=(a3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])).
2.08/2.36	thf(c_0_60, negated_conjecture, ((plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ (minus_minus_set_a @ a3 @ a2) @ (insert_a @ x @ bot_bot_set_a))))!=(plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (inf_inf_set_a @ (minus_minus_set_a @ a3 @ a2) @ g)))), inference(split_conjunct,[status(thm)],[c_0_54])).
2.08/2.36	thf(c_0_61, plain, ((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (insert_a @ x @ ca)))=(plus_plus_nat @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ (minus_minus_set_a @ a3 @ a2) @ (insert_a @ x @ bot_bot_set_a))))), inference(split_conjunct,[status(thm)],[fact_25_calculation])).
2.08/2.36	thf(c_0_62, plain, ![X58:nat, X50:nat]:(((plus_plus_nat @ X50 @ X58)=(plus_plus_nat @ X58 @ X50))), inference(split_conjunct,[status(thm)],[c_0_55])).
2.08/2.36	thf(c_0_63, plain, ![X6528:set_a, X6529:a]:(((~(member_a @ X6529 @ g)|((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X6528 @ (insert_a @ X6529 @ bot_bot_set_a)))=(finite_card_a @ (inf_inf_set_a @ X6528 @ g)))|~(finite_finite_a @ X6528))&((member_a @ X6529 @ g)|((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X6528 @ (insert_a @ X6529 @ bot_bot_set_a)))=(zero_zero_nat))|~(finite_finite_a @ X6528)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
2.08/2.36	thf(c_0_64, plain, ![X5:set_a, X4:set_a]:(((finite_finite_a @ (inf_inf_set_a @ X4 @ X5))|~((finite_finite_a @ X4)))), inference(split_conjunct,[status(thm)],[c_0_57])).
2.08/2.36	thf(c_0_65, plain, ![X4:set_a]:(((inf_inf_set_a @ a3 @ (minus_minus_set_a @ a3 @ X4))=(minus_minus_set_a @ a3 @ X4))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
2.08/2.36	thf(c_0_66, negated_conjecture, ((plus_plus_nat @ (finite_card_a @ (inf_inf_set_a @ a3 @ (minus_minus_set_a @ g @ a2))) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)))!=(finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (insert_a @ x @ ca)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61]), c_0_43]), c_0_62])).
2.08/2.36	thf(c_0_67, plain, ![X4:set_a, X5:set_a, X11:set_a]:(((inf_inf_set_a @ X4 @ (minus_minus_set_a @ X5 @ X11))=(inf_inf_set_a @ X5 @ (minus_minus_set_a @ X4 @ X11)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_41]), c_0_34])).
2.08/2.36	thf(c_0_68, plain, ![X1:a, X4:set_a]:((((finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ X4 @ (insert_a @ X1 @ bot_bot_set_a)))=(finite_card_a @ (inf_inf_set_a @ X4 @ g)))|~((member_a @ X1 @ g))|~((finite_finite_a @ X4)))), inference(split_conjunct,[status(thm)],[c_0_63])).
2.08/2.36	thf(c_0_69, plain, (member_a @ x @ g), inference(split_conjunct,[status(thm)],[fact_2__092_060open_062x_A_092_060in_062_AG_092_060close_062])).
2.08/2.36	thf(c_0_70, plain, ![X4:set_a]:((finite_finite_a @ (minus_minus_set_a @ a3 @ X4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_30])])).
2.08/2.36	thf(c_0_71, negated_conjecture, ((plus_plus_nat @ (finite_card_a @ (inf_inf_set_a @ g @ (minus_minus_set_a @ a3 @ a2))) @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ ca)))!=(finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (insert_a @ x @ ca)))), inference(spm,[status(thm)],[c_0_66, c_0_67])).
2.08/2.36	thf(c_0_72, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_68]), c_0_69])]), c_0_43]), c_0_67]), c_0_62]), c_0_70])]), c_0_71]), ['proof']).
2.08/2.36	# SZS output end CNFRefutation
2.08/2.36	# Parsed axioms                        : 1393
2.08/2.36	# Removed by relevancy pruning/SinE    : 0
2.08/2.36	# Initial clauses                      : 2302
2.08/2.36	# Removed in clause preprocessing      : 170
2.08/2.36	# Initial clauses in saturation        : 2132
2.08/2.36	# Processed clauses                    : 10338
2.08/2.36	# ...of these trivial                  : 453
2.08/2.36	# ...subsumed                          : 6528
2.08/2.36	# ...remaining for further processing  : 3356
2.08/2.36	# Other redundant clauses eliminated   : 957
2.08/2.36	# Clauses deleted for lack of memory   : 0
2.08/2.36	# Backward-subsumed                    : 350
2.08/2.36	# Backward-rewritten                   : 165
2.08/2.36	# Generated clauses                    : 97889
2.08/2.36	# ...of the previous two non-redundant : 80149
2.08/2.36	# ...aggressively subsumed             : 0
2.08/2.36	# Contextual simplify-reflections      : 28
2.08/2.36	# Paramodulations                      : 96295
2.08/2.36	# Factorizations                       : 195
2.08/2.36	# NegExts                              : 13
2.08/2.36	# Equation resolutions                 : 995
2.08/2.36	# Propositional unsat checks           : 0
2.08/2.36	#    Propositional check models        : 0
2.08/2.36	#    Propositional check unsatisfiable : 0
2.08/2.36	#    Propositional clauses             : 0
2.08/2.36	#    Propositional clauses after purity: 0
2.08/2.36	#    Propositional unsat core size     : 0
2.08/2.36	#    Propositional preprocessing time  : 0.000
2.08/2.36	#    Propositional encoding time       : 0.000
2.08/2.36	#    Propositional solver time         : 0.000
2.08/2.36	#    Success case prop preproc time    : 0.000
2.08/2.36	#    Success case prop encoding time   : 0.000
2.08/2.36	#    Success case prop solver time     : 0.000
2.08/2.36	# Current number of processed clauses  : 2636
2.08/2.36	#    Positive orientable unit clauses  : 591
2.08/2.36	#    Positive unorientable unit clauses: 17
2.08/2.36	#    Negative unit clauses             : 206
2.08/2.36	#    Non-unit-clauses                  : 1822
2.08/2.36	# Current number of unprocessed clauses: 71200
2.08/2.36	# ...number of literals in the above   : 202609
2.08/2.36	# Current number of archived formulas  : 0
2.08/2.36	# Current number of archived clauses   : 541
2.08/2.36	# Clause-clause subsumption calls (NU) : 677636
2.08/2.36	# Rec. Clause-clause subsumption calls : 396333
2.08/2.36	# Non-unit clause-clause subsumptions  : 3529
2.08/2.36	# Unit Clause-clause subsumption calls : 93795
2.08/2.36	# Rewrite failures with RHS unbound    : 0
2.08/2.36	# BW rewrite match attempts            : 3135
2.08/2.36	# BW rewrite match successes           : 663
2.08/2.36	# Condensation attempts                : 10338
2.08/2.36	# Condensation successes               : 106
2.08/2.36	# Termbank termtop insertions          : 2701700
2.08/2.36	
2.08/2.36	# -------------------------------------------------
2.08/2.36	# User time                : 1.618 s
2.08/2.36	# System time              : 0.060 s
2.08/2.36	# Total time               : 1.678 s
2.08/2.36	# Maximum resident set size: 12068 pages
2.08/2.36	
2.08/2.36	# -------------------------------------------------
2.08/2.36	# User time                : 1.667 s
2.08/2.36	# System time              : 0.064 s
2.08/2.36	# Total time               : 1.731 s
2.08/2.36	# Maximum resident set size: 4424 pages
2.08/2.36	EOF