0.13/0.27	% Problem    : SLH0565^1 : TPTP v8.2.0. Released v8.2.0.
0.13/0.28	% Command    : run_E %s %d THM
0.29/0.49	% Computer : n005.cluster.edu
0.29/0.49	% Model    : x86_64 x86_64
0.29/0.49	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.29/0.49	% Memory   : 8042.1875MB
0.29/0.49	% OS       : Linux 3.10.0-693.el7.x86_64
0.29/0.49	% CPULimit   : 30
0.29/0.49	% WCLimit    : 30
0.29/0.49	% DateTime   : Mon Jul  3 08:21:15 EDT 2023
0.29/0.49	% CPUTime    : 
0.38/0.62	The problem SPC is TH0_THM_EQU_NAR
0.38/0.62	Running higher-order on 1 cores theorem proving
0.38/0.62	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788
0.38/0.62	# Version: 3.0pre003-ho
1.80/2.05	# partial match(1): HSLSSMSMSSMNHSA
1.80/2.05	# Preprocessing class: HMLSSMSMSSMNHSA.
1.80/2.05	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.80/2.05	# Starting ehoh_best2 with 30s (1) cores
1.80/2.05	# ehoh_best2 with pid 16176 completed with status 0
1.80/2.05	# Result found by ehoh_best2
1.80/2.05	# partial match(1): HSLSSMSMSSMNHSA
1.80/2.05	# Preprocessing class: HMLSSMSMSSMNHSA.
1.80/2.05	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.80/2.05	# Starting ehoh_best2 with 30s (1) cores
1.80/2.05	# No SInE strategy applied
1.80/2.05	# Search class: HGHSM-SMLM32-MHSFFSBC
1.80/2.05	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.80/2.05	# Starting full_lambda_3 with 13s (1) cores
1.80/2.05	# full_lambda_3 with pid 16186 completed with status 0
1.80/2.05	# Result found by full_lambda_3
1.80/2.05	# partial match(1): HSLSSMSMSSMNHSA
1.80/2.05	# Preprocessing class: HMLSSMSMSSMNHSA.
1.80/2.05	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.80/2.05	# Starting ehoh_best2 with 30s (1) cores
1.80/2.05	# No SInE strategy applied
1.80/2.05	# Search class: HGHSM-SMLM32-MHSFFSBC
1.80/2.05	# Scheduled 6 strats onto 1 cores with 30 seconds (30 total)
1.80/2.05	# Starting full_lambda_3 with 13s (1) cores
1.80/2.05	# Preprocessing time       : 0.039 s
1.80/2.05	
1.80/2.05	# Proof found!
1.80/2.05	# SZS status Theorem
1.80/2.05	# SZS output start CNFRefutation
1.80/2.05	thf(decl_22, type, finite_card_real: set_real > nat).
1.80/2.05	thf(decl_23, type, finite_card_a: set_a > nat).
1.80/2.05	thf(decl_24, type, finite_finite_nat: set_nat > $o).
1.80/2.05	thf(decl_25, type, finite_finite_real: set_real > $o).
1.80/2.05	thf(decl_26, type, finite_finite_set_a: set_set_a > $o).
1.80/2.05	thf(decl_27, type, finite_finite_a: set_a > $o).
1.80/2.05	thf(decl_28, type, group_201663378560352916roup_a: set_a > (a > a > a) > a > $o).
1.80/2.05	thf(decl_29, type, group_4866109990395492029noid_a: set_a > (a > a > a) > a > $o).
1.80/2.05	thf(decl_30, type, group_group_a: set_a > (a > a > a) > a > $o).
1.80/2.05	thf(decl_31, type, group_Units_a: set_a > (a > a > a) > a > set_a).
1.80/2.05	thf(decl_32, type, group_invertible_a: set_a > (a > a > a) > a > a > $o).
1.80/2.05	thf(decl_33, type, minus_minus_nat: nat > nat > nat).
1.80/2.05	thf(decl_34, type, minus_minus_real: real > real > real).
1.80/2.05	thf(decl_35, type, minus_minus_set_real: set_real > set_real > set_real).
1.80/2.05	thf(decl_36, type, minus_minus_set_a: set_a > set_a > set_a).
1.80/2.05	thf(decl_37, type, one_one_nat: nat).
1.80/2.05	thf(decl_38, type, one_one_real: real).
1.80/2.05	thf(decl_39, type, times_times_nat: nat > nat > nat).
1.80/2.05	thf(decl_40, type, times_times_real: real > real > real).
1.80/2.05	thf(decl_41, type, zero_zero_nat: nat).
1.80/2.05	thf(decl_42, type, zero_zero_real: real).
1.80/2.05	thf(decl_43, type, if_nat: $o > nat > nat > nat).
1.80/2.05	thf(decl_44, type, if_real: $o > real > real > real).
1.80/2.05	thf(decl_45, type, inf_inf_nat: nat > nat > nat).
1.80/2.05	thf(decl_46, type, inf_inf_real: real > real > real).
1.80/2.05	thf(decl_47, type, inf_inf_set_real: set_real > set_real > set_real).
1.80/2.05	thf(decl_48, type, inf_inf_set_a: set_a > set_a > set_a).
1.80/2.05	thf(decl_49, type, sup_sup_set_a: set_a > set_a > set_a).
1.80/2.05	thf(decl_50, type, suc: nat > nat).
1.80/2.05	thf(decl_51, type, semiri1316708129612266289at_nat: nat > nat).
1.80/2.05	thf(decl_52, type, semiri5074537144036343181t_real: nat > real).
1.80/2.05	thf(decl_53, type, bot_bot_a_o: a > $o).
1.80/2.05	thf(decl_54, type, bot_bot_nat: nat).
1.80/2.05	thf(decl_55, type, bot_bot_set_nat: set_nat).
1.80/2.05	thf(decl_56, type, bot_bot_set_real: set_real).
1.80/2.05	thf(decl_57, type, bot_bot_set_set_a: set_set_a).
1.80/2.05	thf(decl_58, type, bot_bot_set_a: set_a).
1.80/2.05	thf(decl_59, type, ord_less_nat: nat > nat > $o).
1.80/2.05	thf(decl_60, type, ord_less_real: real > real > $o).
1.80/2.05	thf(decl_61, type, ord_less_set_real: set_real > set_real > $o).
1.80/2.05	thf(decl_62, type, ord_less_set_a: set_a > set_a > $o).
1.80/2.05	thf(decl_63, type, ord_less_eq_nat: nat > nat > $o).
1.80/2.05	thf(decl_64, type, ord_less_eq_real: real > real > $o).
1.80/2.05	thf(decl_65, type, ord_less_eq_set_real: set_real > set_real > $o).
1.80/2.05	thf(decl_66, type, ord_less_eq_set_a: set_a > set_a > $o).
1.80/2.05	thf(decl_67, type, pluenn1014277435162747966p_real: set_real > (real > real > real) > real > $o).
1.80/2.05	thf(decl_68, type, pluenn1164192988769422572roup_a: set_a > (a > a > a) > a > $o).
1.80/2.05	thf(decl_69, type, pluenn5761198478017115492ance_a: set_a > (a > a > a) > a > set_a > set_a > real).
1.80/2.05	thf(decl_70, type, pluenn2534204936789923946sset_a: set_a > (a > a > a) > a > set_a > set_a).
1.80/2.05	thf(decl_71, type, pluenn7361685508355272389t_real: set_real > (real > real > real) > set_real > set_real > set_real).
1.80/2.05	thf(decl_72, type, pluenn3038260743871226533mset_a: set_a > (a > a > a) > set_a > set_a > set_a).
1.80/2.05	thf(decl_73, type, pluenn1960970773371692859ated_a: set_a > (a > a > a) > a > set_a > nat > set_a).
1.80/2.05	thf(decl_74, type, pluenn3384280056939765061p_real: set_real > (real > real > real) > (real > $o) > (real > $o) > real > $o).
1.80/2.05	thf(decl_75, type, pluenn895083305082786853setp_a: set_a > (a > a > a) > (a > $o) > (a > $o) > a > $o).
1.80/2.05	thf(decl_76, type, power_power_nat: nat > nat > nat).
1.80/2.05	thf(decl_77, type, power_power_real: real > nat > real).
1.80/2.05	thf(decl_78, type, collect_real: (real > $o) > set_real).
1.80/2.05	thf(decl_79, type, collect_a: (a > $o) > set_a).
1.80/2.05	thf(decl_80, type, insert_real: real > set_real > set_real).
1.80/2.05	thf(decl_81, type, insert_a: a > set_a > set_a).
1.80/2.05	thf(decl_82, type, member_nat: nat > set_nat > $o).
1.80/2.05	thf(decl_83, type, member_real: real > set_real > $o).
1.80/2.05	thf(decl_84, type, member_set_a: set_a > set_set_a > $o).
1.80/2.05	thf(decl_85, type, member_a: a > set_a > $o).
1.80/2.05	thf(decl_86, type, a2: set_a).
1.80/2.05	thf(decl_87, type, a3: set_a).
1.80/2.05	thf(decl_88, type, b: set_a).
1.80/2.05	thf(decl_89, type, g: set_a).
1.80/2.05	thf(decl_90, type, k: real).
1.80/2.05	thf(decl_91, type, k2: real).
1.80/2.05	thf(decl_92, type, addition: a > a > a).
1.80/2.05	thf(decl_93, type, r: nat).
1.80/2.05	thf(decl_94, type, thesis: $o).
1.80/2.05	thf(decl_95, type, zero: a).
1.80/2.05	thf(decl_96, type, esk1_3: a > set_a > set_a > a).
1.80/2.05	thf(decl_97, type, esk2_3: a > set_a > set_a > a).
1.80/2.05	thf(decl_98, type, esk3_3: a > set_a > set_a > a).
1.80/2.05	thf(decl_99, type, esk4_3: a > set_a > set_a > a).
1.80/2.05	thf(decl_100, type, esk5_3: (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_101, type, esk6_3: (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_102, type, esk7_3: (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_103, type, esk8_3: (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_104, type, esk9_1: set_a > nat).
1.80/2.05	thf(decl_105, type, esk10_5: set_real > (real > real > real) > (real > $o) > (real > $o) > real > real).
1.80/2.05	thf(decl_106, type, esk11_5: set_real > (real > real > real) > (real > $o) > (real > $o) > real > real).
1.80/2.05	thf(decl_107, type, esk12_5: set_a > (a > a > a) > (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_108, type, esk13_5: set_a > (a > a > a) > (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_109, type, esk14_5: set_real > (real > real > real) > (real > $o) > (real > $o) > real > real).
1.80/2.05	thf(decl_110, type, esk15_5: set_real > (real > real > real) > (real > $o) > (real > $o) > real > real).
1.80/2.05	thf(decl_111, type, esk16_5: set_a > (a > a > a) > (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_112, type, esk17_5: set_a > (a > a > a) > (a > $o) > (a > $o) > a > a).
1.80/2.05	thf(decl_113, type, esk18_5: set_real > (real > real > real) > real > set_real > set_real > real).
1.80/2.05	thf(decl_114, type, esk19_5: set_real > (real > real > real) > real > set_real > set_real > real).
1.80/2.05	thf(decl_115, type, esk20_5: set_a > (a > a > a) > a > set_a > set_a > a).
1.80/2.05	thf(decl_116, type, esk21_5: set_a > (a > a > a) > a > set_a > set_a > a).
1.80/2.05	thf(decl_117, type, esk22_5: set_real > (real > real > real) > real > set_real > set_real > real).
1.80/2.05	thf(decl_118, type, esk23_5: set_real > (real > real > real) > real > set_real > set_real > real).
1.80/2.05	thf(decl_119, type, esk24_5: set_a > (a > a > a) > a > set_a > set_a > a).
1.80/2.05	thf(decl_120, type, esk25_5: set_a > (a > a > a) > a > set_a > set_a > a).
1.80/2.05	thf(decl_121, type, esk26_1: (a > $o) > a).
1.80/2.05	thf(decl_122, type, esk27_1: (a > $o) > a).
1.80/2.05	thf(decl_123, type, esk28_1: set_real > real).
1.80/2.05	thf(decl_124, type, esk29_1: set_a > a).
1.80/2.05	thf(decl_125, type, esk30_2: set_real > set_real > real).
1.80/2.05	thf(decl_126, type, esk31_2: set_a > set_a > a).
1.80/2.05	thf(decl_127, type, esk32_2: a > set_a > set_a).
1.80/2.05	thf(decl_128, type, esk33_2: real > set_real > set_real).
1.80/2.05	thf(decl_129, type, esk34_1: nat > nat).
1.80/2.05	thf(decl_130, type, esk35_4: a > set_a > a > set_a > set_a).
1.80/2.05	thf(decl_131, type, esk36_4: real > set_real > real > set_real > set_real).
1.80/2.05	thf(decl_132, type, esk37_1: (nat > $o) > nat).
1.80/2.05	thf(decl_133, type, esk38_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_134, type, esk39_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_135, type, esk40_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_136, type, esk41_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_137, type, esk42_2: a > set_a > set_a).
1.80/2.05	thf(decl_138, type, esk43_2: real > set_real > set_real).
1.80/2.05	thf(decl_139, type, esk44_1: (nat > $o) > nat).
1.80/2.05	thf(decl_140, type, esk45_1: nat > nat).
1.80/2.05	thf(decl_141, type, esk46_2: set_a > set_a > a).
1.80/2.05	thf(decl_142, type, esk47_2: set_a > set_a > a).
1.80/2.05	thf(decl_143, type, esk48_2: set_real > set_real > real).
1.80/2.05	thf(decl_144, type, esk49_2: set_a > set_a > a).
1.80/2.05	thf(decl_145, type, esk50_2: set_real > set_real > real).
1.80/2.05	thf(decl_146, type, esk51_2: set_a > set_a > a).
1.80/2.05	thf(decl_147, type, esk52_4: set_real > set_real > (real > $o) > (real > $o) > real).
1.80/2.05	thf(decl_148, type, esk53_4: set_a > set_a > (a > $o) > (a > $o) > a).
1.80/2.05	thf(decl_149, type, esk54_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_150, type, esk55_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_151, type, esk56_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_152, type, esk57_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_153, type, esk58_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_154, type, esk59_3: nat > nat > (nat > $o) > nat).
1.80/2.05	thf(decl_155, type, esk60_1: (nat > $o) > nat).
1.80/2.05	thf(decl_156, type, esk61_2: nat > nat > nat).
1.80/2.05	thf(decl_157, type, esk62_1: (nat > real) > nat).
1.80/2.05	thf(decl_158, type, esk63_1: (nat > set_a) > nat).
1.80/2.05	thf(decl_159, type, esk64_1: (nat > nat) > nat).
1.80/2.05	thf(decl_160, type, esk65_1: (nat > real) > nat).
1.80/2.05	thf(decl_161, type, esk66_1: (nat > set_a) > nat).
1.80/2.05	thf(decl_162, type, esk67_1: (nat > nat) > nat).
1.80/2.05	thf(decl_163, type, esk68_1: set_real > real).
1.80/2.05	thf(decl_164, type, esk69_1: set_a > a).
1.80/2.05	thf(decl_165, type, esk70_1: set_real > real).
1.80/2.05	thf(decl_166, type, esk71_1: set_a > a).
1.80/2.05	thf(decl_167, type, esk72_2: (a > $o) > (a > $o) > a).
1.80/2.05	thf(decl_168, type, esk73_2: (a > $o) > (a > $o) > a).
1.80/2.05	thf(decl_169, type, esk74_2: set_real > set_real > real).
1.80/2.05	thf(decl_170, type, esk75_2: set_a > set_a > a).
1.80/2.05	thf(decl_171, type, esk76_2: set_real > set_real > real).
1.80/2.05	thf(decl_172, type, esk77_2: set_a > set_a > a).
1.80/2.05	thf(decl_173, type, esk78_2: (nat > $o) > nat > nat).
1.80/2.05	thf(decl_174, type, esk79_1: (nat > $o) > nat).
1.80/2.05	thf(decl_175, type, esk80_2: nat > set_real > real).
1.80/2.05	thf(decl_176, type, esk81_2: nat > set_real > set_real).
1.80/2.05	thf(decl_177, type, esk82_2: nat > set_a > a).
1.80/2.05	thf(decl_178, type, esk83_2: nat > set_a > set_a).
1.80/2.05	thf(decl_179, type, esk84_1: set_a > a).
1.80/2.05	thf(decl_180, type, esk85_1: set_a > a).
1.80/2.05	thf(decl_181, type, esk86_1: set_a > a).
1.80/2.05	thf(decl_182, type, esk87_1: (nat > $o) > nat).
1.80/2.05	thf(decl_183, type, esk88_1: (nat > $o) > nat).
1.80/2.05	thf(decl_184, type, esk89_1: (nat > nat) > nat).
1.80/2.05	thf(decl_185, type, esk90_1: (nat > real) > nat).
1.80/2.05	thf(decl_186, type, esk91_1: (nat > nat) > nat).
1.80/2.05	thf(decl_187, type, esk92_1: (nat > real) > nat).
1.80/2.05	thf(decl_188, type, esk93_1: (nat > $o) > nat).
1.80/2.05	thf(decl_189, type, esk94_2: nat > nat > nat).
1.80/2.05	thf(decl_190, type, esk95_2: nat > nat > nat).
1.80/2.05	thf(decl_191, type, esk96_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_192, type, esk97_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_193, type, esk98_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_194, type, esk99_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_195, type, esk100_2: nat > nat > nat).
1.80/2.05	thf(decl_196, type, esk101_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_197, type, esk102_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_198, type, esk103_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_199, type, esk104_3: nat > nat > (nat > nat > $o) > nat).
1.80/2.05	thf(decl_200, type, esk105_3: nat > nat > (nat > $o) > nat).
1.80/2.05	thf(decl_201, type, esk106_3: nat > nat > (nat > $o) > nat).
1.80/2.05	thf(decl_202, type, esk107_1: (nat > nat) > nat).
1.80/2.05	thf(decl_203, type, esk108_1: (nat > nat) > nat).
1.80/2.05	thf(decl_204, type, esk109_2: (set_a > $o) > set_a > set_a).
1.80/2.05	thf(decl_205, type, esk110_2: set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_206, type, esk111_2: set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_207, type, esk112_2: set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_208, type, esk113_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_209, type, esk114_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_210, type, esk115_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_211, type, esk116_1: nat > nat).
1.80/2.05	thf(decl_212, type, esk117_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_213, type, esk118_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_214, type, esk119_1: nat > nat).
1.80/2.05	thf(decl_215, type, esk120_2: nat > nat > nat).
1.80/2.05	thf(decl_216, type, esk121_2: (nat > $o) > nat > nat).
1.80/2.05	thf(decl_217, type, esk122_3: nat > nat > (nat > $o) > nat).
1.80/2.05	thf(decl_218, type, esk123_3: nat > nat > (nat > $o) > nat).
1.80/2.05	thf(decl_219, type, esk124_2: (set_real > $o) > set_real > set_real).
1.80/2.05	thf(decl_220, type, esk125_2: (set_a > $o) > set_a > set_a).
1.80/2.05	thf(decl_221, type, esk126_2: set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_222, type, esk127_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_223, type, esk128_2: (nat > $o) > nat > nat).
1.80/2.05	thf(decl_224, type, esk129_2: set_real > real > real).
1.80/2.05	thf(decl_225, type, esk130_2: set_set_a > set_a > set_a).
1.80/2.05	thf(decl_226, type, esk131_2: set_nat > nat > nat).
1.80/2.05	thf(decl_227, type, esk132_2: set_real > real > real).
1.80/2.05	thf(decl_228, type, esk133_2: set_set_a > set_a > set_a).
1.80/2.05	thf(decl_229, type, esk134_2: set_nat > nat > nat).
1.80/2.05	thf(decl_230, type, esk135_1: set_real > real).
1.80/2.05	thf(decl_231, type, esk136_1: set_set_a > set_a).
1.80/2.05	thf(decl_232, type, esk137_1: set_nat > nat).
1.80/2.05	thf(decl_233, type, esk138_1: set_real > real).
1.80/2.05	thf(decl_234, type, esk139_1: set_set_a > set_a).
1.80/2.05	thf(decl_235, type, esk140_1: set_nat > nat).
1.80/2.05	thf(decl_236, type, esk141_1: set_a > set_a).
1.80/2.05	thf(decl_237, type, esk142_1: set_a > a).
1.80/2.05	thf(decl_238, type, esk143_1: set_a > set_a).
1.80/2.05	thf(decl_239, type, esk144_1: set_a > a).
1.80/2.05	thf(decl_240, type, esk145_2: set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_241, type, esk146_2: set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_242, type, esk147_2: set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_243, type, esk148_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_244, type, esk149_2: set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_245, type, esk150_2: set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_246, type, esk151_2: set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_247, type, esk152_2: set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_248, type, esk153_2: set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_249, type, esk154_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_250, type, esk155_1: (set_real > $o) > set_real).
1.80/2.05	thf(decl_251, type, esk156_1: (set_real > $o) > real).
1.80/2.05	thf(decl_252, type, esk157_1: (set_real > $o) > set_real).
1.80/2.05	thf(decl_253, type, esk158_1: (set_a > $o) > set_a).
1.80/2.05	thf(decl_254, type, esk159_1: (set_a > $o) > a).
1.80/2.05	thf(decl_255, type, esk160_1: (set_a > $o) > set_a).
1.80/2.05	thf(decl_256, type, esk161_2: set_a > nat > set_a).
1.80/2.05	thf(decl_257, type, esk162_3: set_real > set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_258, type, esk163_3: set_real > set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_259, type, esk164_3: set_a > set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_260, type, esk165_3: set_a > set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_261, type, esk166_3: set_real > set_real > (set_real > $o) > real).
1.80/2.05	thf(decl_262, type, esk167_3: set_real > set_real > (set_real > $o) > set_real).
1.80/2.05	thf(decl_263, type, esk168_3: set_a > set_a > (set_a > $o) > a).
1.80/2.05	thf(decl_264, type, esk169_3: set_a > set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_265, type, esk170_2: set_real > nat > real).
1.80/2.05	thf(decl_266, type, esk171_2: set_real > nat > set_real).
1.80/2.05	thf(decl_267, type, esk172_2: set_a > nat > a).
1.80/2.05	thf(decl_268, type, esk173_2: set_a > nat > set_a).
1.80/2.05	thf(decl_269, type, esk174_3: set_a > nat > set_a > set_a).
1.80/2.05	thf(decl_270, type, esk175_2: nat > set_a > set_a).
1.80/2.05	thf(decl_271, type, esk176_2: set_a > nat > set_a).
1.80/2.05	thf(decl_272, type, esk177_2: set_real > nat > real).
1.80/2.05	thf(decl_273, type, esk178_2: set_real > nat > set_real).
1.80/2.05	thf(decl_274, type, esk179_2: set_a > nat > a).
1.80/2.05	thf(decl_275, type, esk180_2: set_a > nat > set_a).
1.80/2.05	thf(decl_276, type, esk181_2: set_real > nat > real).
1.80/2.05	thf(decl_277, type, esk182_2: set_real > nat > set_real).
1.80/2.05	thf(decl_278, type, esk183_2: set_a > nat > a).
1.80/2.05	thf(decl_279, type, esk184_2: set_a > nat > set_a).
1.80/2.05	thf(decl_280, type, esk185_0: set_a).
1.80/2.05	thf(decl_281, type, esk186_0: real).
1.80/2.05	thf(decl_282, type, esk187_3: set_a > set_a > real > set_a).
1.80/2.05	thf(decl_283, type, esk188_3: set_a > set_a > real > real).
1.80/2.05	thf(decl_284, type, esk189_2: (nat > $o) > nat > nat).
1.80/2.05	thf(decl_285, type, esk190_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_286, type, esk191_2: set_real > set_real > real).
1.80/2.05	thf(decl_287, type, esk192_2: set_a > set_a > a).
1.80/2.05	thf(decl_288, type, esk193_2: set_a > (set_a > $o) > set_a).
1.80/2.05	thf(decl_289, type, esk194_5: set_a > (a > a > a) > set_a > set_a > real > set_a).
1.80/2.05	thf(decl_290, type, esk195_5: set_a > (a > a > a) > set_a > set_a > real > real).
1.80/2.05	thf(decl_291, type, esk196_2: real > real > nat).
1.80/2.05	thf(decl_292, type, esk197_2: nat > real > real).
1.80/2.05	thf(decl_293, type, esk198_2: nat > (nat > $o) > nat).
1.80/2.05	thf(decl_294, type, esk199_2: set_real > real > real).
1.80/2.05	thf(decl_295, type, esk200_1: set_real > real).
1.80/2.05	thf(decl_296, type, esk201_2: set_real > real > real).
1.80/2.05	thf(decl_297, type, esk202_1: set_a > a).
1.80/2.05	thf(decl_298, type, esk203_2: real > real > real).
1.80/2.05	thf(decl_299, type, esk204_2: real > nat > real).
1.80/2.05	thf(decl_300, type, esk205_2: real > real > nat).
1.80/2.05	thf(decl_301, type, esk206_2: nat > real > real).
1.80/2.05	thf(decl_302, type, esk207_2: real > real > nat).
1.80/2.05	thf(decl_303, type, esk208_2: real > real > nat).
1.80/2.05	thf(decl_304, type, esk209_1: (real > real > real) > real).
1.80/2.05	thf(decl_305, type, esk210_1: (real > real > real) > real).
1.80/2.05	thf(decl_306, type, esk211_1: (real > real > real) > real).
1.80/2.05	thf(decl_307, type, esk212_1: (real > real > real) > real).
1.80/2.05	thf(decl_308, type, esk213_1: (real > real > real) > real).
1.80/2.05	thf(decl_309, type, esk214_1: (real > real > real) > real).
1.80/2.05	thf(decl_310, type, esk215_1: (real > real > real) > real).
1.80/2.05	thf(decl_311, type, esk216_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_312, type, esk217_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_313, type, esk218_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_314, type, esk219_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_315, type, esk220_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_316, type, esk221_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_317, type, esk222_1: (set_a > set_a > set_a) > set_a).
1.80/2.05	thf(decl_318, type, esk223_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_319, type, esk224_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_320, type, esk225_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_321, type, esk226_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_322, type, esk227_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_323, type, esk228_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_324, type, esk229_1: (nat > nat > nat) > nat).
1.80/2.05	thf(decl_325, type, esk230_2: real > real > real).
1.80/2.05	thf(decl_326, type, esk231_1: real > real).
1.80/2.05	thf(decl_327, type, esk232_1: real > real).
1.80/2.05	thf(decl_328, type, esk233_1: a > a).
1.80/2.05	thf(decl_329, type, esk234_1: a > a).
1.80/2.05	thf(decl_330, type, esk235_4: real > real > (real > real) > real > real).
1.80/2.05	thf(decl_331, type, esk236_4: real > real > (real > real) > real > real).
1.80/2.05	thf(decl_332, type, esk237_4: real > real > (real > set_a) > set_a > real).
1.80/2.05	thf(decl_333, type, esk238_4: real > real > (real > set_a) > set_a > real).
1.80/2.05	thf(decl_334, type, esk239_4: real > real > (real > nat) > nat > real).
1.80/2.05	thf(decl_335, type, esk240_4: real > real > (real > nat) > nat > real).
1.80/2.05	thf(decl_336, type, esk241_4: set_a > set_a > (set_a > real) > real > set_a).
1.80/2.05	thf(decl_337, type, esk242_4: set_a > set_a > (set_a > real) > real > set_a).
1.80/2.05	thf(decl_338, type, esk243_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
1.80/2.05	thf(decl_339, type, esk244_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
1.80/2.05	thf(decl_340, type, esk245_4: set_a > set_a > (set_a > nat) > nat > set_a).
1.80/2.05	thf(decl_341, type, esk246_4: set_a > set_a > (set_a > nat) > nat > set_a).
1.80/2.05	thf(decl_342, type, esk247_4: nat > nat > (nat > real) > real > nat).
1.80/2.05	thf(decl_343, type, esk248_4: nat > nat > (nat > real) > real > nat).
1.80/2.05	thf(decl_344, type, esk249_4: nat > nat > (nat > set_a) > set_a > nat).
1.80/2.05	thf(decl_345, type, esk250_4: nat > nat > (nat > set_a) > set_a > nat).
1.80/2.05	thf(decl_346, type, esk251_4: nat > nat > (nat > nat) > nat > nat).
1.80/2.05	thf(decl_347, type, esk252_4: nat > nat > (nat > nat) > nat > nat).
1.80/2.05	thf(decl_348, type, esk253_4: real > (real > real) > real > real > real).
1.80/2.05	thf(decl_349, type, esk254_4: real > (real > real) > real > real > real).
1.80/2.05	thf(decl_350, type, esk255_4: set_a > (real > set_a) > real > real > real).
1.80/2.05	thf(decl_351, type, esk256_4: set_a > (real > set_a) > real > real > real).
1.80/2.05	thf(decl_352, type, esk257_4: nat > (real > nat) > real > real > real).
1.80/2.05	thf(decl_353, type, esk258_4: nat > (real > nat) > real > real > real).
1.80/2.05	thf(decl_354, type, esk259_4: real > (set_a > real) > set_a > set_a > set_a).
1.80/2.05	thf(decl_355, type, esk260_4: real > (set_a > real) > set_a > set_a > set_a).
1.80/2.05	thf(decl_356, type, esk261_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
1.80/2.05	thf(decl_357, type, esk262_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
1.80/2.05	thf(decl_358, type, esk263_4: nat > (set_a > nat) > set_a > set_a > set_a).
1.80/2.05	thf(decl_359, type, esk264_4: nat > (set_a > nat) > set_a > set_a > set_a).
1.80/2.05	thf(decl_360, type, esk265_4: real > (nat > real) > nat > nat > nat).
1.80/2.05	thf(decl_361, type, esk266_4: real > (nat > real) > nat > nat > nat).
1.80/2.05	thf(decl_362, type, esk267_4: set_a > (nat > set_a) > nat > nat > nat).
1.80/2.05	thf(decl_363, type, esk268_4: set_a > (nat > set_a) > nat > nat > nat).
1.80/2.05	thf(decl_364, type, esk269_4: nat > (nat > nat) > nat > nat > nat).
1.80/2.05	thf(decl_365, type, esk270_4: nat > (nat > nat) > nat > nat > nat).
1.80/2.05	thf(decl_366, type, esk271_4: real > real > (real > real) > real > real).
1.80/2.05	thf(decl_367, type, esk272_4: real > real > (real > real) > real > real).
1.80/2.05	thf(decl_368, type, esk273_4: real > real > (real > set_a) > set_a > real).
1.80/2.05	thf(decl_369, type, esk274_4: real > real > (real > set_a) > set_a > real).
1.80/2.05	thf(decl_370, type, esk275_4: real > real > (real > nat) > nat > real).
1.80/2.05	thf(decl_371, type, esk276_4: real > real > (real > nat) > nat > real).
1.80/2.05	thf(decl_372, type, esk277_4: set_a > set_a > (set_a > real) > real > set_a).
1.80/2.05	thf(decl_373, type, esk278_4: set_a > set_a > (set_a > real) > real > set_a).
1.80/2.05	thf(decl_374, type, esk279_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
1.80/2.05	thf(decl_375, type, esk280_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
1.80/2.05	thf(decl_376, type, esk281_4: set_a > set_a > (set_a > nat) > nat > set_a).
1.80/2.05	thf(decl_377, type, esk282_4: set_a > set_a > (set_a > nat) > nat > set_a).
1.80/2.05	thf(decl_378, type, esk283_4: nat > nat > (nat > real) > real > nat).
1.80/2.05	thf(decl_379, type, esk284_4: nat > nat > (nat > real) > real > nat).
1.80/2.05	thf(decl_380, type, esk285_4: nat > nat > (nat > set_a) > set_a > nat).
1.80/2.05	thf(decl_381, type, esk286_4: nat > nat > (nat > set_a) > set_a > nat).
1.80/2.05	thf(decl_382, type, esk287_4: nat > nat > (nat > nat) > nat > nat).
1.80/2.05	thf(decl_383, type, esk288_4: nat > nat > (nat > nat) > nat > nat).
1.80/2.05	thf(decl_384, type, esk289_4: real > (real > real) > real > real > real).
1.80/2.05	thf(decl_385, type, esk290_4: real > (real > real) > real > real > real).
1.80/2.05	thf(decl_386, type, esk291_4: real > (set_a > real) > set_a > set_a > set_a).
1.80/2.05	thf(decl_387, type, esk292_4: real > (set_a > real) > set_a > set_a > set_a).
1.80/2.05	thf(decl_388, type, esk293_4: real > (nat > real) > nat > nat > nat).
1.80/2.05	thf(decl_389, type, esk294_4: real > (nat > real) > nat > nat > nat).
1.80/2.05	thf(decl_390, type, esk295_4: set_a > (real > set_a) > real > real > real).
1.80/2.05	thf(decl_391, type, esk296_4: set_a > (real > set_a) > real > real > real).
1.80/2.05	thf(decl_392, type, esk297_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
1.80/2.05	thf(decl_393, type, esk298_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
1.80/2.05	thf(decl_394, type, esk299_4: set_a > (nat > set_a) > nat > nat > nat).
1.80/2.05	thf(decl_395, type, esk300_4: set_a > (nat > set_a) > nat > nat > nat).
1.80/2.05	thf(decl_396, type, esk301_4: nat > (real > nat) > real > real > real).
1.80/2.05	thf(decl_397, type, esk302_4: nat > (real > nat) > real > real > real).
1.80/2.05	thf(decl_398, type, esk303_4: nat > (set_a > nat) > set_a > set_a > set_a).
1.80/2.05	thf(decl_399, type, esk304_4: nat > (set_a > nat) > set_a > set_a > set_a).
1.80/2.05	thf(decl_400, type, esk305_4: nat > (nat > nat) > nat > nat > nat).
1.80/2.05	thf(decl_401, type, esk306_4: nat > (nat > nat) > nat > nat > nat).
1.80/2.05	thf(decl_402, type, esk307_1: (real > real > $o) > real).
1.80/2.05	thf(decl_403, type, esk308_1: (real > real > $o) > real).
1.80/2.05	thf(decl_404, type, esk309_1: (real > real > $o) > real).
1.80/2.05	thf(decl_405, type, esk310_1: (real > real > $o) > real).
1.80/2.05	thf(decl_406, type, esk311_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_407, type, esk312_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_408, type, esk313_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_409, type, esk314_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_410, type, esk315_1: real > real).
1.80/2.05	thf(decl_411, type, esk316_1: nat > nat).
1.80/2.05	thf(decl_412, type, esk317_1: real > real).
1.80/2.05	thf(decl_413, type, esk318_2: real > real > real).
1.80/2.05	thf(decl_414, type, esk319_1: (nat > $o) > nat).
1.80/2.05	thf(decl_415, type, esk320_1: (nat > $o) > nat).
1.80/2.05	thf(decl_416, type, esk321_2: (nat > $o) > nat > nat).
1.80/2.05	thf(decl_417, type, esk322_1: (nat > $o) > nat).
1.80/2.05	thf(decl_418, type, esk323_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_419, type, esk324_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_420, type, esk325_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_421, type, esk326_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_422, type, esk327_1: (nat > nat > $o) > nat).
1.80/2.05	thf(decl_423, type, esk328_1: (real > real > $o) > real).
1.80/2.05	thf(decl_424, type, esk329_1: (real > real > $o) > real).
1.80/2.05	thf(decl_425, type, esk330_1: (real > real > $o) > real).
1.80/2.05	thf(decl_426, type, esk331_1: (real > real > $o) > real).
1.80/2.05	thf(decl_427, type, esk332_1: (real > real > $o) > real).
1.80/2.05	thf(decl_428, type, epred1_1: set_a > a > $o).
1.80/2.05	thf(decl_429, type, epred2_1: set_real > real > $o).
1.80/2.05	thf(decl_430, type, esk333_1: set_a > a).
1.80/2.05	thf(fact_1155_linorder__le__cases, axiom, ![X1440:real, X1441:real]:((~((ord_less_eq_real @ X1440 @ X1441))=>(ord_less_eq_real @ X1441 @ X1440))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_1155_linorder__le__cases)).
1.80/2.05	thf(conj_0, conjecture, (ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ r)))) @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', conj_0)).
1.80/2.05	thf(fact_1204_dual__order_Otrans, axiom, ![X1658:real, X1659:real, X1660:real]:(((ord_less_eq_real @ X1658 @ X1659)=>((ord_less_eq_real @ X1660 @ X1658)=>(ord_less_eq_real @ X1660 @ X1659)))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_1204_dual__order_Otrans)).
1.80/2.05	thf(fact_22__C_K_K_C, axiom, ![X16:nat]:((ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ X16)))) @ (times_times_real @ (power_power_real @ k2 @ X16) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_22__C_K_K_C)).
1.80/2.05	thf(fact_1152_order__antisym__conv, axiom, ![X1434:real, X1435:real]:(((ord_less_eq_real @ X1434 @ X1435)=>((ord_less_eq_real @ X1435 @ X1434)<=>((X1435)=(X1434))))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_1152_order__antisym__conv)).
1.80/2.05	thf(fact_902_mult__right__mono, axiom, ![X871:real, X872:real, X873:real]:(((ord_less_eq_real @ X871 @ X872)=>((ord_less_eq_real @ zero_zero_real @ X873)=>(ord_less_eq_real @ (times_times_real @ X871 @ X873) @ (times_times_real @ X872 @ X873))))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_902_mult__right__mono)).
1.80/2.05	thf(fact_320_of__nat__0__le__iff, axiom, ![X34:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X34))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_320_of__nat__0__le__iff)).
1.80/2.05	thf(fact_842_less__eq__real__def, axiom, ((ord_less_eq_real)=(^[X754:real, X755:real]:(((ord_less_real @ X754 @ X755)|((X754)=(X755)))))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_842_less__eq__real__def)).
1.80/2.05	thf(fact_332_power__mono, axiom, ![X299:real, X300:real, X34:nat]:(((ord_less_eq_real @ X299 @ X300)=>((ord_less_eq_real @ zero_zero_real @ X299)=>(ord_less_eq_real @ (power_power_real @ X299 @ X34) @ (power_power_real @ X300 @ X34))))), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_332_power__mono)).
1.80/2.05	thf(fact_429_A_H_I3_J, axiom, (ord_less_real @ zero_zero_real @ k2), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_429_A_H_I3_J)).
1.80/2.05	thf(fact_1_A_H_I4_J, axiom, (ord_less_eq_real @ k2 @ k), file('/export/starexec/sandbox/tmp/tmp.9maEZtxWIo/Vampire---4.8_15788', fact_1_A_H_I4_J)).
1.80/2.05	thf(c_0_11, plain, ![X1440:real, X1441:real]:((~(ord_less_eq_real @ X1440 @ X1441)=>(ord_less_eq_real @ X1441 @ X1440))), inference(fof_simplification,[status(thm)],[fact_1155_linorder__le__cases])).
1.80/2.05	thf(c_0_12, negated_conjecture, ~(ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ r)))) @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
1.80/2.05	thf(c_0_13, plain, ![X8169:real, X8170:real]:(((ord_less_eq_real @ X8169 @ X8170)|(ord_less_eq_real @ X8170 @ X8169))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])).
1.80/2.05	thf(c_0_14, plain, ![X8411:real, X8412:real, X8413:real]:((~(ord_less_eq_real @ X8411 @ X8412)|(~(ord_less_eq_real @ X8413 @ X8411)|(ord_less_eq_real @ X8413 @ X8412)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1204_dual__order_Otrans])])).
1.80/2.05	thf(c_0_15, negated_conjecture, ~((ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ r)))) @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))), inference(split_conjunct,[status(thm)],[c_0_12])).
1.80/2.05	thf(c_0_16, plain, ![X50:real, X46:real]:(((ord_less_eq_real @ X46 @ X50)|(ord_less_eq_real @ X50 @ X46))), inference(split_conjunct,[status(thm)],[c_0_13])).
1.80/2.05	thf(c_0_17, plain, ![X60:real, X50:real, X46:real]:(((ord_less_eq_real @ X60 @ X50)|~((ord_less_eq_real @ X46 @ X50))|~((ord_less_eq_real @ X60 @ X46)))), inference(split_conjunct,[status(thm)],[c_0_14])).
1.80/2.05	thf(c_0_18, negated_conjecture, (ord_less_eq_real @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))) @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ r))))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
1.80/2.05	thf(c_0_19, plain, ![X5191:nat]:((ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ X5191)))) @ (times_times_real @ (power_power_real @ k2 @ X5191) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))), inference(variable_rename,[status(thm)],[fact_22__C_K_K_C])).
1.80/2.05	thf(c_0_20, plain, ![X8163:real, X8164:real]:(((~(ord_less_eq_real @ X8164 @ X8163)|((X8164)=(X8163))|~(ord_less_eq_real @ X8163 @ X8164))&(((X8164)!=(X8163))|(ord_less_eq_real @ X8164 @ X8163)|~(ord_less_eq_real @ X8163 @ X8164)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1152_order__antisym__conv])])])).
1.80/2.05	thf(c_0_21, negated_conjecture, ![X46:real]:(((ord_less_eq_real @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))) @ X46)|~((ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ r)))) @ X46)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
1.80/2.05	thf(c_0_22, plain, ![X16:nat]:((ord_less_eq_real @ (semiri5074537144036343181t_real @ (finite_card_a @ (pluenn3038260743871226533mset_a @ g @ addition @ a3 @ (pluenn1960970773371692859ated_a @ g @ addition @ zero @ b @ X16)))) @ (times_times_real @ (power_power_real @ k2 @ X16) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))), inference(split_conjunct,[status(thm)],[c_0_19])).
1.80/2.05	thf(c_0_23, plain, ![X50:real, X46:real]:((((X46)=(X50))|~((ord_less_eq_real @ X46 @ X50))|~((ord_less_eq_real @ X50 @ X46)))), inference(split_conjunct,[status(thm)],[c_0_20])).
1.80/2.05	thf(c_0_24, negated_conjecture, (ord_less_eq_real @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))) @ (times_times_real @ (power_power_real @ k2 @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
1.80/2.05	thf(c_0_25, plain, ![X7573:real, X7574:real, X7575:real]:((~(ord_less_eq_real @ X7573 @ X7574)|(~(ord_less_eq_real @ zero_zero_real @ X7575)|(ord_less_eq_real @ (times_times_real @ X7573 @ X7575) @ (times_times_real @ X7574 @ X7575))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_902_mult__right__mono])])).
1.80/2.05	thf(c_0_26, plain, ![X6014:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X6014))), inference(variable_rename,[status(thm)],[fact_320_of__nat__0__le__iff])).
1.80/2.05	thf(c_0_27, plain, ![X5098:real, X5099:real]:(((ord_less_eq_real @ X5098 @ X5099)<=>((ord_less_real @ X5098 @ X5099)|((X5098)=(X5099))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_842_less__eq__real__def])])).
1.80/2.05	thf(c_0_28, negated_conjecture, (((times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))=(times_times_real @ (power_power_real @ k2 @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))|~((ord_less_eq_real @ (times_times_real @ (power_power_real @ k2 @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))) @ (times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
1.80/2.05	thf(c_0_29, plain, ![X46:real, X50:real, X60:real]:(((ord_less_eq_real @ (times_times_real @ X46 @ X60) @ (times_times_real @ X50 @ X60))|~((ord_less_eq_real @ X46 @ X50))|~((ord_less_eq_real @ zero_zero_real @ X60)))), inference(split_conjunct,[status(thm)],[c_0_25])).
1.80/2.05	thf(c_0_30, plain, ![X16:nat]:((ord_less_eq_real @ zero_zero_real @ (semiri5074537144036343181t_real @ X16))), inference(split_conjunct,[status(thm)],[c_0_26])).
1.80/2.05	thf(c_0_31, plain, ![X7446:real, X7447:real]:(((~(ord_less_eq_real @ X7446 @ X7447)|((ord_less_real @ X7446 @ X7447)|((X7446)=(X7447))))&((~(ord_less_real @ X7446 @ X7447)|(ord_less_eq_real @ X7446 @ X7447))&(((X7446)!=(X7447))|(ord_less_eq_real @ X7446 @ X7447))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
1.80/2.05	thf(c_0_32, negated_conjecture, (((times_times_real @ (power_power_real @ k @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3)))=(times_times_real @ (power_power_real @ k2 @ r) @ (semiri5074537144036343181t_real @ (finite_card_a @ a3))))|~((ord_less_eq_real @ (power_power_real @ k2 @ r) @ (power_power_real @ k @ r)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
1.80/2.05	thf(c_0_33, plain, ![X6051:real, X6052:real, X6053:nat]:((~(ord_less_eq_real @ X6051 @ X6052)|(~(ord_less_eq_real @ zero_zero_real @ X6051)|(ord_less_eq_real @ (power_power_real @ X6051 @ X6053) @ (power_power_real @ X6052 @ X6053))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_power__mono])])).
1.80/2.05	thf(c_0_34, plain, ![X46:real, X50:real]:(((ord_less_eq_real @ X46 @ X50)|~((ord_less_real @ X46 @ X50)))), inference(split_conjunct,[status(thm)],[c_0_31])).
1.80/2.05	thf(c_0_35, plain, (ord_less_real @ zero_zero_real @ k2), inference(split_conjunct,[status(thm)],[fact_429_A_H_I3_J])).
1.80/2.05	thf(c_0_36, negated_conjecture, ~((ord_less_eq_real @ (power_power_real @ k2 @ r) @ (power_power_real @ k @ r))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_32]), c_0_22])])).
1.80/2.05	thf(c_0_37, plain, ![X16:nat, X50:real, X46:real]:(((ord_less_eq_real @ (power_power_real @ X46 @ X16) @ (power_power_real @ X50 @ X16))|~((ord_less_eq_real @ X46 @ X50))|~((ord_less_eq_real @ zero_zero_real @ X46)))), inference(split_conjunct,[status(thm)],[c_0_33])).
1.80/2.05	thf(c_0_38, plain, (ord_less_eq_real @ zero_zero_real @ k2), inference(spm,[status(thm)],[c_0_34, c_0_35])).
1.80/2.05	thf(c_0_39, plain, (ord_less_eq_real @ k2 @ k), inference(split_conjunct,[status(thm)],[fact_1_A_H_I4_J])).
1.80/2.05	thf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39])]), ['proof']).
1.80/2.05	# SZS output end CNFRefutation
1.80/2.05	# Parsed axioms                        : 1357
1.80/2.05	# Removed by relevancy pruning/SinE    : 0
1.80/2.05	# Initial clauses                      : 2406
1.80/2.05	# Removed in clause preprocessing      : 158
1.80/2.05	# Initial clauses in saturation        : 2248
1.80/2.05	# Processed clauses                    : 4252
1.80/2.05	# ...of these trivial                  : 132
1.80/2.05	# ...subsumed                          : 1817
1.80/2.05	# ...remaining for further processing  : 2303
1.80/2.05	# Other redundant clauses eliminated   : 516
1.80/2.05	# Clauses deleted for lack of memory   : 0
1.80/2.05	# Backward-subsumed                    : 65
1.80/2.05	# Backward-rewritten                   : 23
1.80/2.05	# Generated clauses                    : 62780
1.80/2.05	# ...of the previous two non-redundant : 56919
1.80/2.05	# ...aggressively subsumed             : 0
1.80/2.05	# Contextual simplify-reflections      : 45
1.80/2.05	# Paramodulations                      : 61698
1.80/2.05	# Factorizations                       : 203
1.80/2.05	# NegExts                              : 1
1.80/2.05	# Equation resolutions                 : 537
1.80/2.05	# Propositional unsat checks           : 0
1.80/2.05	#    Propositional check models        : 0
1.80/2.05	#    Propositional check unsatisfiable : 0
1.80/2.05	#    Propositional clauses             : 0
1.80/2.05	#    Propositional clauses after purity: 0
1.80/2.05	#    Propositional unsat core size     : 0
1.80/2.05	#    Propositional preprocessing time  : 0.000
1.80/2.05	#    Propositional encoding time       : 0.000
1.80/2.05	#    Propositional solver time         : 0.000
1.80/2.05	#    Success case prop preproc time    : 0.000
1.80/2.05	#    Success case prop encoding time   : 0.000
1.80/2.05	#    Success case prop solver time     : 0.000
1.80/2.05	# Current number of processed clauses  : 2002
1.80/2.05	#    Positive orientable unit clauses  : 260
1.80/2.05	#    Positive unorientable unit clauses: 16
1.80/2.05	#    Negative unit clauses             : 111
1.80/2.05	#    Non-unit-clauses                  : 1615
1.80/2.05	# Current number of unprocessed clauses: 54884
1.80/2.05	# ...number of literals in the above   : 193569
1.80/2.05	# Current number of archived formulas  : 0
1.80/2.05	# Current number of archived clauses   : 90
1.80/2.05	# Clause-clause subsumption calls (NU) : 401493
1.80/2.05	# Rec. Clause-clause subsumption calls : 229483
1.80/2.05	# Non-unit clause-clause subsumptions  : 1077
1.80/2.05	# Unit Clause-clause subsumption calls : 78589
1.80/2.05	# Rewrite failures with RHS unbound    : 0
1.80/2.05	# BW rewrite match attempts            : 11866
1.80/2.05	# BW rewrite match successes           : 2062
1.80/2.05	# Condensation attempts                : 4252
1.80/2.05	# Condensation successes               : 56
1.80/2.05	# Termbank termtop insertions          : 2893447
1.80/2.05	
1.80/2.05	# -------------------------------------------------
1.80/2.05	# User time                : 1.305 s
1.80/2.05	# System time              : 0.061 s
1.80/2.05	# Total time               : 1.366 s
1.80/2.05	# Maximum resident set size: 12772 pages
1.80/2.05	
1.80/2.05	# -------------------------------------------------
1.80/2.05	# User time                : 1.361 s
1.80/2.05	# System time              : 0.071 s
1.80/2.05	# Total time               : 1.432 s
1.80/2.05	# Maximum resident set size: 4384 pages
1.80/2.05	EOF