0.00/0.11	% Problem    : SLH073^1 : TPTP v7.5.0. Released v7.5.0.
0.00/0.11	% Command    : run_E %s %d THM
0.11/0.32	% Computer : n004.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 30
0.11/0.32	% WCLimit    : 30
0.11/0.32	% DateTime   : Tue Aug  9 02:19:05 EDT 2022
0.11/0.32	% CPUTime    : 
0.16/0.43	The problem SPC is TH0_THM_EQU_NAR
0.16/0.43	Running higher-order on 1 cores theorem proving
0.16/0.43	Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
0.16/0.43	# Version: 3.0pre003-ho
0.37/0.58	# Preprocessing class: HSLSSMSMSSMNSFA.
0.37/0.58	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.37/0.58	# Starting new_ho_3 with 30s (1) cores
0.37/0.58	# new_ho_3 with pid 8802 completed with status 0
0.37/0.58	# Result found by new_ho_3
0.37/0.58	# Preprocessing class: HSLSSMSMSSMNSFA.
0.37/0.58	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.37/0.58	# Starting new_ho_3 with 30s (1) cores
0.37/0.58	# SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
0.37/0.58	# ...ProofStateSinE()=300/442
0.37/0.58	# Search class: HGHSM-FSLM32-SSFFFSBN
0.37/0.58	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.37/0.58	# Starting new_ho_10 with 17s (1) cores
0.37/0.58	# new_ho_10 with pid 8803 completed with status 0
0.37/0.58	# Result found by new_ho_10
0.37/0.58	# Preprocessing class: HSLSSMSMSSMNSFA.
0.37/0.58	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.37/0.58	# Starting new_ho_3 with 30s (1) cores
0.37/0.58	# SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
0.37/0.58	# ...ProofStateSinE()=300/442
0.37/0.58	# Search class: HGHSM-FSLM32-SSFFFSBN
0.37/0.58	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.37/0.58	# Starting new_ho_10 with 17s (1) cores
0.37/0.58	# Preprocessing time       : 0.011 s
0.37/0.58	# Presaturation interreduction done
0.37/0.58	
0.37/0.58	# Proof found!
0.37/0.58	# SZS status Theorem
0.37/0.58	# SZS output start CNFRefutation
0.37/0.58	thf(decl_22, type, finite_card_nat: set_nat > nat).
0.37/0.58	thf(decl_23, type, finite1481642319od_a_a: set_Product_prod_a_a > nat).
0.37/0.58	thf(decl_24, type, finite_card_a: set_a > nat).
0.37/0.58	thf(decl_25, type, finite_finite_nat: set_nat > $o).
0.37/0.58	thf(decl_26, type, finite772653738at_nat: set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_27, type, finite1664988688od_a_a: set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_28, type, finite179568208od_a_a: set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_29, type, finite_finite_set_a: set_set_a > $o).
0.37/0.58	thf(decl_30, type, finite_finite_a: set_a > $o).
0.37/0.58	thf(decl_31, type, zero_zero_nat: nat).
0.37/0.58	thf(decl_32, type, order_1150839801on_nat: set_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_33, type, order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_34, type, order_preorder_on_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_35, type, bot_bot_nat_o: nat > $o).
0.37/0.58	thf(decl_36, type, bot_bo1293121322_a_a_o: product_prod_a_a > $o).
0.37/0.58	thf(decl_37, type, bot_bot_a_o: a > $o).
0.37/0.58	thf(decl_38, type, bot_bot_nat: nat).
0.37/0.58	thf(decl_39, type, bot_bo1519632275_set_a: produc1691597095_set_a).
0.37/0.58	thf(decl_40, type, bot_bot_set_nat: set_nat).
0.37/0.58	thf(decl_41, type, bot_bo2131659635od_a_a: set_Product_prod_a_a).
0.37/0.58	thf(decl_42, type, bot_bot_set_set_a: set_set_a).
0.37/0.58	thf(decl_43, type, bot_bot_set_a: set_a).
0.37/0.58	thf(decl_44, type, ord_less_nat: nat > nat > $o).
0.37/0.58	thf(decl_45, type, ord_less_eq_nat: nat > nat > $o).
0.37/0.58	thf(decl_46, type, ord_le1302190241at_nat: product_prod_nat_nat > product_prod_nat_nat > $o).
0.37/0.58	thf(decl_47, type, ord_le841160035_set_a: produc1463940355_set_a > produc1463940355_set_a > $o).
0.37/0.58	thf(decl_48, type, ord_le781360189_a_nat: produc1404140509_a_nat > produc1404140509_a_nat > $o).
0.37/0.58	thf(decl_49, type, ord_le486764743_set_a: produc1691597095_set_a > produc1691597095_set_a > $o).
0.37/0.58	thf(decl_50, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
0.37/0.58	thf(decl_51, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_52, type, ord_less_eq_set_a: set_a > set_a > $o).
0.37/0.58	thf(decl_53, type, prefer1936906324as_nat: nat > set_nat > set_Pr1986765409at_nat > set_nat).
0.37/0.58	thf(decl_54, type, prefer74720675od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a).
0.37/0.58	thf(decl_55, type, prefer436369274d_as_a: a > set_a > set_Product_prod_a_a > set_a).
0.37/0.58	thf(decl_56, type, prefer563798164od_nat: nat > set_nat > set_Pr1986765409at_nat > set_nat).
0.37/0.58	thf(decl_57, type, prefer477097315od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a).
0.37/0.58	thf(decl_58, type, prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a).
0.37/0.58	thf(decl_59, type, prefer1672638789an_nat: nat > set_nat > set_Pr1986765409at_nat > set_nat).
0.37/0.58	thf(decl_60, type, prefer1498087410od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a).
0.37/0.58	thf(decl_61, type, prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a).
0.37/0.58	thf(decl_62, type, prefer1293349710ce_nat: set_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_63, type, prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_64, type, prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_65, type, prefer1147844220ce_nat: set_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_66, type, prefer697821563od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_67, type, prefer719835986ence_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_68, type, prefer580340847ioms_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_69, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
0.37/0.58	thf(decl_70, type, produc1450889781_set_a: nat > set_a > produc1463940355_set_a).
0.37/0.58	thf(decl_71, type, produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a).
0.37/0.58	thf(decl_72, type, produc515611863_a_nat: set_a > nat > produc1404140509_a_nat).
0.37/0.58	thf(decl_73, type, produc1928581911_set_a: set_a > set_a > produc1691597095_set_a).
0.37/0.58	thf(decl_74, type, product_Pair_a_a: a > a > product_prod_a_a).
0.37/0.58	thf(decl_75, type, refl_on_nat: set_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_76, type, refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_77, type, refl_on_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_78, type, total_on_nat: set_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_79, type, total_1490170027od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_80, type, total_on_a: set_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_81, type, trans_a: set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_82, type, collect_nat: (nat > $o) > set_nat).
0.37/0.58	thf(decl_83, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a).
0.37/0.58	thf(decl_84, type, collect_a: (a > $o) > set_a).
0.37/0.58	thf(decl_85, type, member_nat: nat > set_nat > $o).
0.37/0.58	thf(decl_86, type, member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o).
0.37/0.58	thf(decl_87, type, member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o).
0.37/0.58	thf(decl_88, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o).
0.37/0.58	thf(decl_89, type, member_set_a: set_a > set_set_a > $o).
0.37/0.58	thf(decl_90, type, member_a: a > set_a > $o).
0.37/0.58	thf(decl_91, type, carrier: set_a).
0.37/0.58	thf(decl_92, type, relation: set_Product_prod_a_a).
0.37/0.58	thf(decl_93, type, x: a).
0.37/0.58	thf(decl_94, type, y: a).
0.37/0.58	thf(decl_95, type, esk1_2: set_Product_prod_a_a > (product_prod_a_a > nat > $o) > product_prod_a_a).
0.37/0.58	thf(decl_96, type, esk2_2: set_Product_prod_a_a > (product_prod_a_a > nat > $o) > nat).
0.37/0.58	thf(decl_97, type, esk3_3: set_Product_prod_a_a > (product_prod_a_a > nat > $o) > product_prod_a_a > nat).
0.37/0.58	thf(decl_98, type, esk4_1: (product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_99, type, esk5_1: (product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_100, type, esk6_1: product_prod_a_a > a).
0.37/0.58	thf(decl_101, type, esk7_1: product_prod_a_a > a).
0.37/0.58	thf(decl_102, type, esk8_1: (product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_103, type, esk9_1: (product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_104, type, esk10_1: product_prod_a_a > a).
0.37/0.58	thf(decl_105, type, esk11_1: product_prod_a_a > a).
0.37/0.58	thf(decl_106, type, esk12_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_107, type, esk13_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_108, type, esk14_1: set_nat > nat).
0.37/0.58	thf(decl_109, type, esk15_2: set_nat > nat > nat).
0.37/0.58	thf(decl_110, type, esk16_2: (nat > $o) > nat > nat).
0.37/0.58	thf(decl_111, type, esk17_1: (nat > $o) > nat).
0.37/0.58	thf(decl_112, type, esk18_2: set_nat > nat > nat).
0.37/0.58	thf(decl_113, type, esk19_2: set_nat > nat > nat).
0.37/0.58	thf(decl_114, type, esk20_1: (nat > nat > $o) > nat).
0.37/0.58	thf(decl_115, type, esk21_1: (nat > nat > $o) > nat).
0.37/0.58	thf(decl_116, type, esk22_1: (nat > nat > $o) > nat).
0.37/0.58	thf(decl_117, type, esk23_1: (nat > nat > $o) > nat).
0.37/0.58	thf(decl_118, type, esk24_4: nat > nat > (nat > nat) > nat > nat).
0.37/0.58	thf(decl_119, type, esk25_4: nat > nat > (nat > nat) > nat > nat).
0.37/0.58	thf(decl_120, type, esk26_4: nat > nat > (nat > set_a) > set_a > nat).
0.37/0.58	thf(decl_121, type, esk27_4: nat > nat > (nat > set_a) > set_a > nat).
0.37/0.58	thf(decl_122, type, esk28_4: set_a > set_a > (set_a > nat) > nat > set_a).
0.37/0.58	thf(decl_123, type, esk29_4: set_a > set_a > (set_a > nat) > nat > set_a).
0.37/0.58	thf(decl_124, type, esk30_4: nat > (nat > nat) > nat > nat > nat).
0.37/0.58	thf(decl_125, type, esk31_4: nat > (nat > nat) > nat > nat > nat).
0.37/0.58	thf(decl_126, type, esk32_4: set_a > (nat > set_a) > nat > nat > nat).
0.37/0.58	thf(decl_127, type, esk33_4: set_a > (nat > set_a) > nat > nat > nat).
0.37/0.58	thf(decl_128, type, esk34_4: nat > (set_a > nat) > set_a > set_a > set_a).
0.37/0.58	thf(decl_129, type, esk35_4: nat > (set_a > nat) > set_a > set_a > set_a).
0.37/0.58	thf(decl_130, type, esk36_4: nat > nat > (nat > nat) > nat > nat).
0.37/0.58	thf(decl_131, type, esk37_4: nat > nat > (nat > nat) > nat > nat).
0.37/0.58	thf(decl_132, type, esk38_4: nat > nat > (nat > set_a) > set_a > nat).
0.37/0.58	thf(decl_133, type, esk39_4: nat > nat > (nat > set_a) > set_a > nat).
0.37/0.58	thf(decl_134, type, esk40_4: set_a > set_a > (set_a > nat) > nat > set_a).
0.37/0.58	thf(decl_135, type, esk41_4: set_a > set_a > (set_a > nat) > nat > set_a).
0.37/0.58	thf(decl_136, type, esk42_4: nat > (nat > nat) > nat > nat > nat).
0.37/0.58	thf(decl_137, type, esk43_4: nat > (nat > nat) > nat > nat > nat).
0.37/0.58	thf(decl_138, type, esk44_4: nat > (set_a > nat) > set_a > set_a > set_a).
0.37/0.58	thf(decl_139, type, esk45_4: nat > (set_a > nat) > set_a > set_a > set_a).
0.37/0.58	thf(decl_140, type, esk46_4: set_a > (nat > set_a) > nat > nat > nat).
0.37/0.58	thf(decl_141, type, esk47_4: set_a > (nat > set_a) > nat > nat > nat).
0.37/0.58	thf(decl_142, type, esk48_2: set_nat > nat > nat).
0.37/0.58	thf(decl_143, type, esk49_1: set_nat > nat).
0.37/0.58	thf(decl_144, type, esk50_2: set_a > (a > nat > $o) > a).
0.37/0.58	thf(decl_145, type, esk51_2: set_a > (a > nat > $o) > nat).
0.37/0.58	thf(decl_146, type, esk52_3: set_a > (a > nat > $o) > a > nat).
0.37/0.58	thf(decl_147, type, esk53_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_148, type, esk54_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_149, type, esk55_3: set_nat > (nat > nat > $o) > nat > nat).
0.37/0.58	thf(decl_150, type, esk56_2: (nat > $o) > nat > nat).
0.37/0.58	thf(decl_151, type, esk57_1: (nat > $o) > nat).
0.37/0.58	thf(decl_152, type, esk58_2: set_a > nat > set_a).
0.37/0.58	thf(decl_153, type, esk59_2: nat > set_a > set_a).
0.37/0.58	thf(decl_154, type, esk60_3: set_a > set_Product_prod_a_a > (product_prod_a_a > a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_155, type, esk61_3: set_a > set_Product_prod_a_a > (product_prod_a_a > a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_156, type, esk62_3: set_a > set_Product_prod_a_a > (product_prod_a_a > a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_157, type, esk63_3: set_a > set_Product_prod_a_a > (product_prod_a_a > a > $o) > a).
0.37/0.58	thf(decl_158, type, esk64_3: set_a > set_nat > (nat > a > $o) > nat).
0.37/0.58	thf(decl_159, type, esk65_3: set_a > set_nat > (nat > a > $o) > nat).
0.37/0.58	thf(decl_160, type, esk66_3: set_a > set_nat > (nat > a > $o) > nat).
0.37/0.58	thf(decl_161, type, esk67_3: set_a > set_nat > (nat > a > $o) > a).
0.37/0.58	thf(decl_162, type, esk68_3: set_a > set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_163, type, esk69_3: set_a > set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_164, type, esk70_3: set_a > set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_165, type, esk71_3: set_a > set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_166, type, esk72_3: set_Product_prod_a_a > set_a > (a > product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_167, type, esk73_3: set_Product_prod_a_a > set_a > (a > product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_168, type, esk74_3: set_Product_prod_a_a > set_a > (a > product_prod_a_a > $o) > a).
0.37/0.58	thf(decl_169, type, esk75_3: set_Product_prod_a_a > set_a > (a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_170, type, esk76_3: set_nat > set_a > (a > nat > $o) > a).
0.37/0.58	thf(decl_171, type, esk77_3: set_nat > set_a > (a > nat > $o) > a).
0.37/0.58	thf(decl_172, type, esk78_3: set_nat > set_a > (a > nat > $o) > a).
0.37/0.58	thf(decl_173, type, esk79_3: set_nat > set_a > (a > nat > $o) > nat).
0.37/0.58	thf(decl_174, type, esk80_2: set_a > nat > set_a).
0.37/0.58	thf(decl_175, type, esk81_2: nat > set_a > set_a).
0.37/0.58	thf(decl_176, type, esk82_1: set_a > a).
0.37/0.58	thf(decl_177, type, esk83_2: set_a > set_a > a).
0.37/0.58	thf(decl_178, type, esk84_1: set_a > a).
0.37/0.58	thf(decl_179, type, esk85_1: set_a > a).
0.37/0.58	thf(decl_180, type, esk86_2: set_a > set_a > a).
0.37/0.58	thf(decl_181, type, esk87_2: set_a > set_a > a).
0.37/0.58	thf(decl_182, type, esk88_2: set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_183, type, esk89_2: set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_184, type, esk90_2: set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_185, type, esk91_2: set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_186, type, esk92_2: set_a > (a > a > $o) > a).
0.37/0.58	thf(decl_187, type, esk93_1: set_a > a).
0.37/0.58	thf(decl_188, type, esk94_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
0.37/0.58	thf(decl_189, type, esk95_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
0.37/0.58	thf(decl_190, type, esk96_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
0.37/0.58	thf(decl_191, type, esk97_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
0.37/0.58	thf(decl_192, type, esk98_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
0.37/0.58	thf(decl_193, type, esk99_4: set_a > set_a > (set_a > set_a) > set_a > set_a).
0.37/0.58	thf(decl_194, type, esk100_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
0.37/0.58	thf(decl_195, type, esk101_4: set_a > (set_a > set_a) > set_a > set_a > set_a).
0.37/0.58	thf(decl_196, type, esk102_2: set_Product_prod_a_a > nat > set_Product_prod_a_a).
0.37/0.58	thf(decl_197, type, esk103_2: nat > set_Product_prod_a_a > set_Product_prod_a_a).
0.37/0.58	thf(decl_198, type, esk104_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_199, type, esk105_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_200, type, esk106_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_201, type, esk107_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_202, type, esk108_3: set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat).
0.37/0.58	thf(decl_203, type, esk109_3: set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat).
0.37/0.58	thf(decl_204, type, esk110_3: set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > nat).
0.37/0.58	thf(decl_205, type, esk111_3: set_Product_prod_a_a > set_nat > (nat > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_206, type, esk112_2: set_Product_prod_a_a > nat > set_Product_prod_a_a).
0.37/0.58	thf(decl_207, type, esk113_2: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_208, type, esk114_2: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_209, type, esk115_2: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_210, type, esk116_2: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_211, type, esk117_2: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.37/0.58	thf(decl_212, type, esk118_2: set_Product_prod_a_a > set_a > a).
0.37/0.58	thf(decl_213, type, esk119_2: set_Product_prod_a_a > set_a > a).
0.37/0.58	thf(decl_214, type, esk120_2: set_Product_prod_a_a > set_a > a).
0.37/0.58	thf(decl_215, type, esk121_2: set_Product_prod_a_a > set_a > a).
0.37/0.58	thf(decl_216, type, esk122_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_217, type, esk123_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_218, type, esk124_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_219, type, esk125_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_220, type, esk126_1: (a > $o) > a).
0.37/0.58	thf(decl_221, type, esk127_1: (a > $o) > a).
0.37/0.58	thf(decl_222, type, esk128_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_223, type, esk129_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_224, type, esk130_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_225, type, esk131_2: set_a > set_Product_prod_a_a > a).
0.37/0.58	thf(decl_226, type, esk132_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_227, type, esk133_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_228, type, esk134_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_229, type, esk135_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_230, type, esk136_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_231, type, esk137_1: set_Product_prod_a_a > a).
0.37/0.58	thf(decl_232, type, esk138_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_233, type, esk139_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_234, type, esk140_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_235, type, esk141_1: set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_236, type, esk142_3: set_nat > set_Product_prod_a_a > (product_prod_a_a > nat > $o) > product_prod_a_a).
0.37/0.58	thf(decl_237, type, esk143_3: set_nat > set_Product_prod_a_a > (product_prod_a_a > nat > $o) > product_prod_a_a).
0.37/0.58	thf(decl_238, type, esk144_3: set_nat > set_Product_prod_a_a > (product_prod_a_a > nat > $o) > product_prod_a_a).
0.37/0.58	thf(decl_239, type, esk145_3: set_nat > set_Product_prod_a_a > (product_prod_a_a > nat > $o) > nat).
0.37/0.58	thf(decl_240, type, esk146_3: set_nat > set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_241, type, esk147_3: set_nat > set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_242, type, esk148_3: set_nat > set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_243, type, esk149_3: set_nat > set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_244, type, esk150_1: set_nat > nat).
0.37/0.58	thf(decl_245, type, esk151_2: set_nat > set_nat > nat).
0.37/0.58	thf(decl_246, type, esk152_1: set_nat > nat).
0.37/0.58	thf(decl_247, type, esk153_1: set_nat > nat).
0.37/0.58	thf(decl_248, type, esk154_2: set_nat > set_nat > nat).
0.37/0.58	thf(decl_249, type, esk155_2: set_nat > set_nat > nat).
0.37/0.58	thf(decl_250, type, esk156_1: set_nat > nat).
0.37/0.58	thf(decl_251, type, esk157_1: set_nat > nat).
0.37/0.58	thf(decl_252, type, esk158_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_253, type, esk159_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_254, type, esk160_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_255, type, esk161_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_256, type, esk162_2: set_nat > (nat > nat > $o) > nat).
0.37/0.58	thf(decl_257, type, esk163_1: set_nat > nat).
0.37/0.58	thf(decl_258, type, esk164_2: set_nat > nat > set_nat).
0.37/0.58	thf(decl_259, type, esk165_2: nat > set_nat > set_nat).
0.37/0.58	thf(decl_260, type, esk166_2: set_nat > nat > set_nat).
0.37/0.58	thf(decl_261, type, esk167_1: set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_262, type, esk168_1: set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_263, type, esk169_1: set_Product_prod_a_a > product_prod_a_a).
0.37/0.58	thf(decl_264, type, esk170_2: (a > $o) > (a > $o) > a).
0.37/0.58	thf(decl_265, type, esk171_2: (a > $o) > (a > $o) > a).
0.37/0.58	thf(decl_266, type, epred1_1: set_a > a > $o).
0.37/0.58	thf(conj_0, conjecture, ((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))<=>(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
0.37/0.58	thf(fact_142_card__mono, axiom, ![X260:set_a, X261:set_a]:(((finite_finite_a @ X260)=>((ord_less_eq_set_a @ X261 @ X260)=>(ord_less_eq_nat @ (finite_card_a @ X261) @ (finite_card_a @ X260))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_142_card__mono)).
0.37/0.58	thf(fact_22_no__better__subset__pref, axiom, ![X1:a, X2:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ relation)=>(ord_less_eq_set_a @ (prefer1676310729than_a @ X2 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_22_no__better__subset__pref)).
0.37/0.58	thf(fact_34_fnt__carrier__fnt__nbt, axiom, ![X4:a]:(((member_a @ X4 @ carrier)=>(finite_finite_a @ (prefer1676310729than_a @ X4 @ carrier @ relation)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_34_fnt__carrier__fnt__nbt)).
0.37/0.58	thf(fact_4_assms_I2_J, axiom, (member_a @ y @ carrier), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_assms_I2_J)).
0.37/0.58	thf(fact_21_nbt__subset__imp__card__leq, axiom, ![X1:a, X2:a]:(((member_a @ X1 @ carrier)=>((member_a @ X2 @ carrier)=>((ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X2 @ carrier @ relation))<=>(ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ X1 @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ X2 @ carrier @ relation))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_21_nbt__subset__imp__card__leq)).
0.37/0.58	thf(fact_23_no__better__thansubset__rel, axiom, ![X1:a, X2:a]:(((member_a @ X1 @ carrier)=>((member_a @ X2 @ carrier)=>((ord_less_eq_set_a @ (prefer1676310729than_a @ X2 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation))=>(member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ relation))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_23_no__better__thansubset__rel)).
0.37/0.58	thf(fact_5_assms_I1_J, axiom, (member_a @ x @ carrier), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_assms_I1_J)).
0.37/0.58	thf(c_0_8, negated_conjecture, ~(((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))<=>(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))), inference(assume_negation,[status(cth)],[conj_0])).
0.37/0.58	thf(c_0_9, negated_conjecture, ((~(ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))|~(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))&((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))|(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))), inference(fof_nnf,[status(thm)],[c_0_8])).
0.37/0.58	thf(c_0_10, plain, ![X1949:set_a, X1950:set_a]:((~(finite_finite_a @ X1949)|(~(ord_less_eq_set_a @ X1950 @ X1949)|(ord_less_eq_nat @ (finite_card_a @ X1950) @ (finite_card_a @ X1949))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_142_card__mono])])).
0.37/0.58	thf(c_0_11, negated_conjecture, (~((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation))))|~((member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))), inference(split_conjunct,[status(thm)],[c_0_9])).
0.37/0.58	thf(c_0_12, plain, ![X11:set_a, X10:set_a]:(((ord_less_eq_nat @ (finite_card_a @ X11) @ (finite_card_a @ X10))|~((finite_finite_a @ X10))|~((ord_less_eq_set_a @ X11 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.37/0.58	thf(c_0_13, plain, ![X1649:a, X1650:a]:((~(member449909584od_a_a @ (product_Pair_a_a @ X1649 @ X1650) @ relation)|(ord_less_eq_set_a @ (prefer1676310729than_a @ X1650 @ carrier @ relation) @ (prefer1676310729than_a @ X1649 @ carrier @ relation)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_22_no__better__subset__pref])])).
0.37/0.58	thf(c_0_14, negated_conjecture, (~((ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation)))|~((member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))|~((finite_finite_a @ (prefer1676310729than_a @ y @ carrier @ relation)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
0.37/0.58	thf(c_0_15, plain, ![X1:a, X2:a]:(((ord_less_eq_set_a @ (prefer1676310729than_a @ X2 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation))|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ relation)))), inference(split_conjunct,[status(thm)],[c_0_13])).
0.37/0.58	thf(c_0_16, plain, ![X1727:a]:((~(member_a @ X1727 @ carrier)|(finite_finite_a @ (prefer1676310729than_a @ X1727 @ carrier @ relation)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_34_fnt__carrier__fnt__nbt])])).
0.37/0.58	thf(c_0_17, negated_conjecture, (~((member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation))|~((finite_finite_a @ (prefer1676310729than_a @ y @ carrier @ relation)))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
0.37/0.58	thf(c_0_18, plain, ![X1:a]:(((finite_finite_a @ (prefer1676310729than_a @ X1 @ carrier @ relation))|~((member_a @ X1 @ carrier)))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.37/0.58	thf(c_0_19, plain, (member_a @ y @ carrier), inference(split_conjunct,[status(thm)],[fact_4_assms_I2_J])).
0.37/0.58	thf(c_0_20, plain, ![X1721:a, X1722:a]:(((~(ord_less_eq_set_a @ (prefer1676310729than_a @ X1721 @ carrier @ relation) @ (prefer1676310729than_a @ X1722 @ carrier @ relation))|(ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ X1721 @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ X1722 @ carrier @ relation)))|~(member_a @ X1722 @ carrier)|~(member_a @ X1721 @ carrier))&(~(ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ X1721 @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ X1722 @ carrier @ relation)))|(ord_less_eq_set_a @ (prefer1676310729than_a @ X1721 @ carrier @ relation) @ (prefer1676310729than_a @ X1722 @ carrier @ relation))|~(member_a @ X1722 @ carrier)|~(member_a @ X1721 @ carrier)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_21_nbt__subset__imp__card__leq])])])).
0.37/0.58	thf(c_0_21, negated_conjecture, ((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation)))|(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation)), inference(split_conjunct,[status(thm)],[c_0_9])).
0.37/0.58	thf(c_0_22, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
0.37/0.58	thf(c_0_23, plain, ![X1651:a, X1652:a]:((~(member_a @ X1651 @ carrier)|(~(member_a @ X1652 @ carrier)|(~(ord_less_eq_set_a @ (prefer1676310729than_a @ X1652 @ carrier @ relation) @ (prefer1676310729than_a @ X1651 @ carrier @ relation))|(member449909584od_a_a @ (product_Pair_a_a @ X1651 @ X1652) @ relation))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23_no__better__thansubset__rel])])).
0.37/0.58	thf(c_0_24, plain, ![X2:a, X1:a]:(((ord_less_eq_set_a @ (prefer1676310729than_a @ X1 @ carrier @ relation) @ (prefer1676310729than_a @ X2 @ carrier @ relation))|~((ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ X1 @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ X2 @ carrier @ relation))))|~((member_a @ X2 @ carrier))|~((member_a @ X1 @ carrier)))), inference(split_conjunct,[status(thm)],[c_0_20])).
0.37/0.58	thf(c_0_25, negated_conjecture, (ord_less_eq_nat @ (finite_card_a @ (prefer1676310729than_a @ x @ carrier @ relation)) @ (finite_card_a @ (prefer1676310729than_a @ y @ carrier @ relation))), inference(sr,[status(thm)],[c_0_21, c_0_22])).
0.37/0.58	thf(c_0_26, plain, (member_a @ x @ carrier), inference(split_conjunct,[status(thm)],[fact_5_assms_I1_J])).
0.37/0.58	thf(c_0_27, plain, ![X2:a, X1:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ relation)|~((member_a @ X1 @ carrier))|~((member_a @ X2 @ carrier))|~((ord_less_eq_set_a @ (prefer1676310729than_a @ X2 @ carrier @ relation) @ (prefer1676310729than_a @ X1 @ carrier @ relation))))), inference(split_conjunct,[status(thm)],[c_0_23])).
0.37/0.58	thf(c_0_28, negated_conjecture, (ord_less_eq_set_a @ (prefer1676310729than_a @ x @ carrier @ relation) @ (prefer1676310729than_a @ y @ carrier @ relation)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_19]), c_0_26])])).
0.37/0.58	thf(c_0_29, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_26]), c_0_19])]), c_0_22]), ['proof']).
0.37/0.58	# SZS output end CNFRefutation
0.37/0.58	# Parsed axioms                        : 442
0.37/0.58	# Removed by relevancy pruning/SinE    : 142
0.37/0.58	# Initial clauses                      : 672
0.37/0.58	# Removed in clause preprocessing      : 21
0.37/0.58	# Initial clauses in saturation        : 651
0.37/0.58	# Processed clauses                    : 901
0.37/0.58	# ...of these trivial                  : 9
0.37/0.58	# ...subsumed                          : 196
0.37/0.58	# ...remaining for further processing  : 696
0.37/0.58	# Other redundant clauses eliminated   : 66
0.37/0.58	# Clauses deleted for lack of memory   : 0
0.37/0.58	# Backward-subsumed                    : 7
0.37/0.58	# Backward-rewritten                   : 3
0.37/0.58	# Generated clauses                    : 339
0.37/0.58	# ...of the previous two non-redundant : 242
0.37/0.58	# ...aggressively subsumed             : 0
0.37/0.58	# Contextual simplify-reflections      : 8
0.37/0.58	# Paramodulations                      : 250
0.37/0.58	# Factorizations                       : 2
0.37/0.58	# NegExts                              : 0
0.37/0.58	# Equation resolutions                 : 68
0.37/0.58	# Propositional unsat checks           : 0
0.37/0.58	#    Propositional check models        : 0
0.37/0.58	#    Propositional check unsatisfiable : 0
0.37/0.58	#    Propositional clauses             : 0
0.37/0.58	#    Propositional clauses after purity: 0
0.37/0.58	#    Propositional unsat core size     : 0
0.37/0.58	#    Propositional preprocessing time  : 0.000
0.37/0.58	#    Propositional encoding time       : 0.000
0.37/0.58	#    Propositional solver time         : 0.000
0.37/0.58	#    Success case prop preproc time    : 0.000
0.37/0.58	#    Success case prop encoding time   : 0.000
0.37/0.58	#    Success case prop solver time     : 0.000
0.37/0.58	# Current number of processed clauses  : 178
0.37/0.58	#    Positive orientable unit clauses  : 37
0.37/0.58	#    Positive unorientable unit clauses: 0
0.37/0.58	#    Negative unit clauses             : 6
0.37/0.58	#    Non-unit-clauses                  : 135
0.37/0.58	# Current number of unprocessed clauses: 432
0.37/0.58	# ...number of literals in the above   : 1640
0.37/0.58	# Current number of archived formulas  : 0
0.37/0.58	# Current number of archived clauses   : 466
0.37/0.58	# Clause-clause subsumption calls (NU) : 52340
0.37/0.58	# Rec. Clause-clause subsumption calls : 17711
0.37/0.58	# Non-unit clause-clause subsumptions  : 201
0.37/0.58	# Unit Clause-clause subsumption calls : 372
0.37/0.58	# Rewrite failures with RHS unbound    : 0
0.37/0.58	# BW rewrite match attempts            : 14
0.37/0.58	# BW rewrite match successes           : 3
0.37/0.58	# Condensation attempts                : 901
0.37/0.58	# Condensation successes               : 16
0.37/0.58	# Termbank termtop insertions          : 74716
0.37/0.58	
0.37/0.58	# -------------------------------------------------
0.37/0.58	# User time                : 0.117 s
0.37/0.58	# System time              : 0.011 s
0.37/0.58	# Total time               : 0.128 s
0.37/0.58	# Maximum resident set size: 5344 pages
0.37/0.58	
0.37/0.58	# -------------------------------------------------
0.37/0.58	# User time                : 0.132 s
0.37/0.58	# System time              : 0.014 s
0.37/0.58	# Total time               : 0.146 s
0.37/0.58	# Maximum resident set size: 2684 pages
0.37/0.58	EOF