0.07/0.12 % Problem : SLH461^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.33 % Computer : n025.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 03:10:11 EDT 2022 0.13/0.34 % CPUTime : 0.18/0.46 The problem SPC is TH0_THM_EQU_NAR 0.18/0.46 Running higher-order on 1 cores theorem proving 0.18/0.46 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 0.18/0.46 # Version: 3.0pre003-ho 0.18/0.56 # Preprocessing class: HSLMSMSSSSLNHSA. 0.18/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.18/0.56 # Starting new_ho_10 with 30s (1) cores 0.18/0.56 # new_ho_10 with pid 4463 completed with status 0 0.18/0.56 # Result found by new_ho_10 0.18/0.56 # Preprocessing class: HSLMSMSSSSLNHSA. 0.18/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.18/0.56 # Starting new_ho_10 with 30s (1) cores 0.18/0.56 # No SInE strategy applied 0.18/0.56 # Search class: HGHSM-FSLM32-DHSFFSBN 0.18/0.56 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.18/0.56 # Starting full_lambda_3 with 14s (1) cores 0.18/0.56 # full_lambda_3 with pid 4464 completed with status 0 0.18/0.56 # Result found by full_lambda_3 0.18/0.56 # Preprocessing class: HSLMSMSSSSLNHSA. 0.18/0.56 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.18/0.56 # Starting new_ho_10 with 30s (1) cores 0.18/0.56 # No SInE strategy applied 0.18/0.56 # Search class: HGHSM-FSLM32-DHSFFSBN 0.18/0.56 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 0.18/0.56 # Starting full_lambda_3 with 14s (1) cores 0.18/0.56 # Preprocessing time : 0.012 s 0.18/0.56 0.18/0.56 # Proof found! 0.18/0.56 # SZS status Theorem 0.18/0.56 # SZS output start CNFRefutation 0.18/0.56 thf(decl_22, type, bij_to_nat_a: (nat > a) > set_nat > set_a > $o). 0.18/0.56 thf(decl_23, type, carrie2021454486_a_b_c: carrie722926983_a_b_c > set_a). 0.18/0.56 thf(decl_24, type, carrie2079586589xt_b_d: carrie1950868226xt_b_d > set_b). 0.18/0.56 thf(decl_25, type, surj_to_nat_a: (nat > a) > set_nat > set_a > $o). 0.18/0.56 thf(decl_26, type, j_rad_b_d: carrie1950868226xt_b_d > set_b). 0.18/0.56 thf(decl_27, type, ring_b_d: carrie1950868226xt_b_d > $o). 0.18/0.56 thf(decl_28, type, pop_a_1107992527_a_b_c: carrie722926983_a_b_c > a > a > a). 0.18/0.56 thf(decl_29, type, ideal_b_d: carrie1950868226xt_b_d > set_b > $o). 0.18/0.56 thf(decl_30, type, nsum_a1196845273_a_b_c: carrie722926983_a_b_c > (nat > a) > nat > a). 0.18/0.56 thf(decl_31, type, zeroring_b_d: carrie1950868226xt_b_d > $o). 0.18/0.56 thf(decl_32, type, annihilator_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b). 0.18/0.56 thf(decl_33, type, module_a_b_c_d: carrie722926983_a_b_c > carrie1950868226xt_b_d > $o). 0.18/0.56 thf(decl_34, type, sprod_a_b_c: carrie722926983_a_b_c > b > a > a). 0.18/0.56 thf(decl_35, type, generator_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_a > $o). 0.18/0.56 thf(decl_36, type, linear_span_b_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b > set_a > set_a). 0.18/0.56 thf(decl_37, type, misomo1282343797_c_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > carrie722926983_a_b_c > $o). 0.18/0.56 thf(decl_38, type, smodul818989740_d_a_c: carrie1950868226xt_b_d > carrie722926983_a_b_c > set_b > set_a). 0.18/0.56 thf(decl_39, type, finite_card_nat_a: set_nat_a > nat). 0.18/0.56 thf(decl_40, type, finite_card_nat_b: set_nat_b > nat). 0.18/0.56 thf(decl_41, type, finite_card_nat: set_nat > nat). 0.18/0.56 thf(decl_42, type, finite_card_a: set_a > nat). 0.18/0.56 thf(decl_43, type, finite_card_b: set_b > nat). 0.18/0.56 thf(decl_44, type, pi_nat_a_nat_a: set_nat_a > ((nat > a) > set_nat_a) > set_nat_a_nat_a). 0.18/0.56 thf(decl_45, type, pi_nat_a_nat_b: set_nat_a > ((nat > a) > set_nat_b) > set_nat_a_nat_b). 0.18/0.56 thf(decl_46, type, pi_nat_b_nat_a: set_nat_b > ((nat > b) > set_nat_a) > set_nat_b_nat_a). 0.18/0.56 thf(decl_47, type, pi_nat_b_nat_b: set_nat_b > ((nat > b) > set_nat_b) > set_nat_b_nat_b). 0.18/0.56 thf(decl_48, type, pi_nat_nat_a: set_nat > (nat > set_nat_a) > set_nat_nat_a). 0.18/0.56 thf(decl_49, type, pi_nat_nat_b: set_nat > (nat > set_nat_b) > set_nat_nat_b). 0.18/0.56 thf(decl_50, type, pi_nat_nat: set_nat > (nat > set_nat) > set_nat_nat). 0.18/0.56 thf(decl_51, type, pi_nat_a: set_nat > (nat > set_a) > set_nat_a). 0.18/0.56 thf(decl_52, type, pi_nat_b: set_nat > (nat > set_b) > set_nat_b). 0.18/0.56 thf(decl_53, type, pi_a_nat_nat: set_a > (a > set_nat_nat) > set_a_nat_nat). 0.18/0.56 thf(decl_54, type, pi_a_nat_a: set_a > (a > set_nat_a) > set_a_nat_a). 0.18/0.56 thf(decl_55, type, pi_a_nat_b: set_a > (a > set_nat_b) > set_a_nat_b). 0.18/0.56 thf(decl_56, type, pi_a_a_nat: set_a > (a > set_a_nat) > set_a_a_nat). 0.18/0.56 thf(decl_57, type, pi_a_a_a: set_a > (a > set_a_a) > set_a_a_a). 0.18/0.56 thf(decl_58, type, pi_a_a_b: set_a > (a > set_a_b) > set_a_a_b). 0.18/0.56 thf(decl_59, type, pi_a_b_nat: set_a > (a > set_b_nat) > set_a_b_nat). 0.18/0.56 thf(decl_60, type, pi_a_b_a: set_a > (a > set_b_a) > set_a_b_a). 0.18/0.56 thf(decl_61, type, pi_a_b_b: set_a > (a > set_b_b) > set_a_b_b). 0.18/0.56 thf(decl_62, type, pi_a_nat: set_a > (a > set_nat) > set_a_nat). 0.18/0.56 thf(decl_63, type, pi_a_a: set_a > (a > set_a) > set_a_a). 0.18/0.56 thf(decl_64, type, pi_a_b: set_a > (a > set_b) > set_a_b). 0.18/0.56 thf(decl_65, type, pi_b_nat_a: set_b > (b > set_nat_a) > set_b_nat_a). 0.18/0.56 thf(decl_66, type, pi_b_nat_b: set_b > (b > set_nat_b) > set_b_nat_b). 0.18/0.56 thf(decl_67, type, pi_b_a_a: set_b > (b > set_a_a) > set_b_a_a). 0.18/0.56 thf(decl_68, type, pi_b_nat: set_b > (b > set_nat) > set_b_nat). 0.18/0.56 thf(decl_69, type, pi_b_a: set_b > (b > set_a) > set_b_a). 0.18/0.56 thf(decl_70, type, pi_b_b: set_b > (b > set_b) > set_b_b). 0.18/0.56 thf(decl_71, type, minus_minus_nat: nat > nat > nat). 0.18/0.56 thf(decl_72, type, zero_zero_nat: nat). 0.18/0.56 thf(decl_73, type, suc: nat > nat). 0.18/0.56 thf(decl_74, type, bot_bot_set_a: set_a). 0.18/0.56 thf(decl_75, type, ord_less_nat: nat > nat > $o). 0.18/0.56 thf(decl_76, type, ord_less_eq_nat: nat > nat > $o). 0.18/0.56 thf(decl_77, type, ord_le157368549_nat_a: set_nat_a > set_nat_a > $o). 0.18/0.56 thf(decl_78, type, ord_le1296932838_nat_b: set_nat_b > set_nat_b > $o). 0.18/0.56 thf(decl_79, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.18/0.56 thf(decl_80, type, ord_less_eq_set_a: set_a > set_a > $o). 0.18/0.56 thf(decl_81, type, ord_less_eq_set_b: set_b > set_b > $o). 0.18/0.56 thf(decl_82, type, collect_nat_a: ((nat > a) > $o) > set_nat_a). 0.18/0.56 thf(decl_83, type, collect_nat_b: ((nat > b) > $o) > set_nat_b). 0.18/0.56 thf(decl_84, type, collect_nat: (nat > $o) > set_nat). 0.18/0.56 thf(decl_85, type, collect_set_a: (set_a > $o) > set_set_a). 0.18/0.56 thf(decl_86, type, collect_set_b: (set_b > $o) > set_set_b). 0.18/0.56 thf(decl_87, type, collect_a: (a > $o) > set_a). 0.18/0.56 thf(decl_88, type, collect_b: (b > $o) > set_b). 0.18/0.56 thf(decl_89, type, image_nat_b_a: ((nat > b) > a) > set_nat_b > set_a). 0.18/0.56 thf(decl_90, type, image_nat_nat_a: (nat > nat > a) > set_nat > set_nat_a). 0.18/0.56 thf(decl_91, type, image_nat_nat_b: (nat > nat > b) > set_nat > set_nat_b). 0.18/0.56 thf(decl_92, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.18/0.56 thf(decl_93, type, image_nat_a: (nat > a) > set_nat > set_a). 0.18/0.56 thf(decl_94, type, image_nat_b: (nat > b) > set_nat > set_b). 0.18/0.56 thf(decl_95, type, image_a_nat_b: (a > nat > b) > set_a > set_nat_b). 0.18/0.56 thf(decl_96, type, image_a_nat: (a > nat) > set_a > set_nat). 0.18/0.56 thf(decl_97, type, image_a_a: (a > a) > set_a > set_a). 0.18/0.56 thf(decl_98, type, image_a_b: (a > b) > set_a > set_b). 0.18/0.56 thf(decl_99, type, image_b_nat: (b > nat) > set_b > set_nat). 0.18/0.56 thf(decl_100, type, image_b_a: (b > a) > set_b > set_a). 0.18/0.56 thf(decl_101, type, image_b_b: (b > b) > set_b > set_b). 0.18/0.56 thf(decl_102, type, member_nat_a_nat_a: ((nat > a) > nat > a) > set_nat_a_nat_a > $o). 0.18/0.56 thf(decl_103, type, member_nat_a_nat_b: ((nat > a) > nat > b) > set_nat_a_nat_b > $o). 0.18/0.56 thf(decl_104, type, member_nat_b_nat_a: ((nat > b) > nat > a) > set_nat_b_nat_a > $o). 0.18/0.56 thf(decl_105, type, member_nat_b_nat_b: ((nat > b) > nat > b) > set_nat_b_nat_b > $o). 0.18/0.56 thf(decl_106, type, member_nat_nat_a: (nat > nat > a) > set_nat_nat_a > $o). 0.18/0.56 thf(decl_107, type, member_nat_nat_b: (nat > nat > b) > set_nat_nat_b > $o). 0.18/0.56 thf(decl_108, type, member_nat_nat: (nat > nat) > set_nat_nat > $o). 0.18/0.56 thf(decl_109, type, member_nat_a: (nat > a) > set_nat_a > $o). 0.18/0.56 thf(decl_110, type, member_nat_b: (nat > b) > set_nat_b > $o). 0.18/0.56 thf(decl_111, type, member_a_nat_nat: (a > nat > nat) > set_a_nat_nat > $o). 0.18/0.56 thf(decl_112, type, member_a_nat_a: (a > nat > a) > set_a_nat_a > $o). 0.18/0.56 thf(decl_113, type, member_a_nat_b: (a > nat > b) > set_a_nat_b > $o). 0.18/0.56 thf(decl_114, type, member_a_a_nat: (a > a > nat) > set_a_a_nat > $o). 0.18/0.56 thf(decl_115, type, member_a_a_a: (a > a > a) > set_a_a_a > $o). 0.18/0.56 thf(decl_116, type, member_a_a_b: (a > a > b) > set_a_a_b > $o). 0.18/0.56 thf(decl_117, type, member_a_b_nat: (a > b > nat) > set_a_b_nat > $o). 0.18/0.56 thf(decl_118, type, member_a_b_a: (a > b > a) > set_a_b_a > $o). 0.18/0.56 thf(decl_119, type, member_a_b_b: (a > b > b) > set_a_b_b > $o). 0.18/0.56 thf(decl_120, type, member_a_nat: (a > nat) > set_a_nat > $o). 0.18/0.56 thf(decl_121, type, member_a_a: (a > a) > set_a_a > $o). 0.18/0.56 thf(decl_122, type, member_a_b: (a > b) > set_a_b > $o). 0.18/0.56 thf(decl_123, type, member_b_nat_a: (b > nat > a) > set_b_nat_a > $o). 0.18/0.56 thf(decl_124, type, member_b_nat_b: (b > nat > b) > set_b_nat_b > $o). 0.18/0.56 thf(decl_125, type, member_b_a_a: (b > a > a) > set_b_a_a > $o). 0.18/0.56 thf(decl_126, type, member_b_nat: (b > nat) > set_b_nat > $o). 0.18/0.56 thf(decl_127, type, member_b_a: (b > a) > set_b_a > $o). 0.18/0.56 thf(decl_128, type, member_b_b: (b > b) > set_b_b > $o). 0.18/0.56 thf(decl_129, type, member_nat: nat > set_nat > $o). 0.18/0.56 thf(decl_130, type, member_set_a: set_a > set_set_a > $o). 0.18/0.56 thf(decl_131, type, member_set_b: set_b > set_set_b > $o). 0.18/0.56 thf(decl_132, type, member_a: a > set_a > $o). 0.18/0.56 thf(decl_133, type, member_b: b > set_b > $o). 0.18/0.56 thf(decl_134, type, a2: set_b). 0.18/0.56 thf(decl_135, type, h: set_a). 0.18/0.56 thf(decl_136, type, m: carrie722926983_a_b_c). 0.18/0.56 thf(decl_137, type, r: carrie1950868226xt_b_d). 0.18/0.56 thf(decl_138, type, h2: nat > a). 0.18/0.56 thf(decl_139, type, k: nat). 0.18/0.56 thf(decl_140, type, s: nat > b). 0.18/0.56 thf(decl_141, type, esk1_2: nat > (nat > a) > nat). 0.18/0.56 thf(decl_142, type, esk2_3: nat > (nat > a) > (nat > a) > nat). 0.18/0.56 thf(decl_143, type, esk3_3: nat > (nat > a) > (nat > a) > nat). 0.18/0.56 thf(decl_144, type, esk4_3: nat > (nat > a) > (nat > a) > nat). 0.18/0.56 thf(decl_145, type, esk5_2: nat > (nat > a) > nat). 0.18/0.56 thf(decl_146, type, esk6_3: nat > (nat > a) > (nat > a) > nat). 0.18/0.56 thf(decl_147, type, esk7_4: nat > (nat > a) > (nat > a) > nat > nat). 0.18/0.56 thf(decl_148, type, esk8_2: nat > (nat > a) > nat). 0.18/0.56 thf(decl_149, type, esk9_2: nat > (nat > a) > nat). 0.18/0.56 thf(decl_150, type, esk10_2: (nat > $o) > (nat > $o) > nat). 0.18/0.56 thf(decl_151, type, esk11_2: (nat > $o) > nat > nat). 0.18/0.56 thf(decl_152, type, esk12_1: (nat > $o) > nat). 0.18/0.56 thf(decl_153, type, esk13_3: a > (nat > a) > set_nat > nat). 0.18/0.56 thf(decl_154, type, esk14_3: set_a > (a > a) > set_a > a). 0.18/0.56 thf(decl_155, type, esk15_3: set_b > (b > a) > set_a > b). 0.18/0.56 thf(decl_156, type, esk16_3: set_nat > (nat > a) > set_a > nat). 0.18/0.56 thf(decl_157, type, esk17_3: set_a > (a > b) > set_b > a). 0.18/0.56 thf(decl_158, type, esk18_3: set_b > (b > b) > set_b > b). 0.18/0.56 thf(decl_159, type, esk19_3: set_nat > (nat > b) > set_b > nat). 0.18/0.56 thf(decl_160, type, esk20_3: set_a > (a > nat) > set_nat > a). 0.18/0.56 thf(decl_161, type, esk21_3: set_b > (b > nat) > set_nat > b). 0.18/0.56 thf(decl_162, type, esk22_3: set_nat > (nat > nat) > set_nat > nat). 0.18/0.56 thf(decl_163, type, esk23_3: set_nat_b > ((nat > b) > a) > set_a > nat > b). 0.18/0.56 thf(decl_164, type, esk24_2: set_nat_b > set_nat_b > nat > b). 0.18/0.56 thf(decl_165, type, esk25_2: set_nat_a > set_nat_a > nat > a). 0.18/0.56 thf(decl_166, type, esk26_2: set_nat > set_nat > nat). 0.18/0.56 thf(decl_167, type, esk27_2: set_b > set_b > b). 0.18/0.56 thf(decl_168, type, esk28_2: set_a > set_a > a). 0.18/0.56 thf(decl_169, type, esk29_2: set_nat_b > set_nat_b > nat > b). 0.18/0.56 thf(decl_170, type, esk30_2: set_nat_a > set_nat_a > nat > a). 0.18/0.56 thf(decl_171, type, esk31_2: set_nat > set_nat > nat). 0.18/0.56 thf(decl_172, type, esk32_2: set_b > set_b > b). 0.18/0.56 thf(decl_173, type, esk33_2: set_a > set_a > a). 0.18/0.56 thf(decl_174, type, esk34_2: set_nat_b > set_nat_b > nat > b). 0.18/0.56 thf(decl_175, type, esk35_2: set_nat_a > set_nat_a > nat > a). 0.18/0.56 thf(decl_176, type, esk36_2: set_nat > set_nat > nat). 0.18/0.56 thf(decl_177, type, esk37_2: set_b > set_b > b). 0.18/0.56 thf(decl_178, type, esk38_2: set_a > set_a > a). 0.18/0.56 thf(decl_179, type, esk39_1: (nat > $o) > nat). 0.18/0.56 thf(decl_180, type, esk40_1: (nat > $o) > nat). 0.18/0.56 thf(decl_181, type, esk41_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_182, type, esk42_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_183, type, esk43_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_184, type, esk44_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_185, type, esk45_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_186, type, esk46_3: nat > nat > (nat > $o) > nat). 0.18/0.56 thf(decl_187, type, esk47_1: (nat > $o) > nat). 0.18/0.56 thf(decl_188, type, esk48_2: nat > nat > nat). 0.18/0.56 thf(decl_189, type, esk49_1: nat > nat). 0.18/0.56 thf(decl_190, type, esk50_1: (nat > $o) > nat). 0.18/0.56 thf(decl_191, type, esk51_1: nat > nat). 0.18/0.56 thf(decl_192, type, esk52_1: (nat > $o) > nat). 0.18/0.56 thf(decl_193, type, esk53_1: (nat > nat > $o) > nat). 0.18/0.56 thf(decl_194, type, esk54_1: (nat > nat > $o) > nat). 0.18/0.56 thf(decl_195, type, esk55_1: (nat > nat > $o) > nat). 0.18/0.56 thf(decl_196, type, esk56_1: (nat > nat > $o) > nat). 0.18/0.56 thf(decl_197, type, esk57_1: (nat > $o) > nat). 0.18/0.56 thf(decl_198, type, esk58_1: (nat > nat) > nat). 0.18/0.56 thf(decl_199, type, esk59_1: (nat > nat) > nat). 0.18/0.56 thf(decl_200, type, esk60_3: nat > nat > (nat > $o) > nat). 0.18/0.56 thf(decl_201, type, esk61_3: nat > nat > (nat > $o) > nat). 0.18/0.56 thf(decl_202, type, esk62_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_203, type, esk63_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_204, type, esk64_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_205, type, esk65_3: nat > nat > (nat > nat > $o) > nat). 0.18/0.56 thf(decl_206, type, esk66_2: nat > nat > nat). 0.18/0.56 thf(decl_207, type, esk67_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_208, type, esk68_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_209, type, esk69_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_210, type, esk70_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_211, type, esk71_2: nat > nat > nat). 0.18/0.56 thf(decl_212, type, esk72_2: nat > nat > nat). 0.18/0.56 thf(decl_213, type, esk73_1: (nat > $o) > nat). 0.18/0.56 thf(decl_214, type, esk74_2: (nat > $o) > nat > nat). 0.18/0.56 thf(decl_215, type, esk75_1: (nat > set_b) > nat). 0.18/0.56 thf(decl_216, type, esk76_1: (nat > nat) > nat). 0.18/0.56 thf(decl_217, type, esk77_1: (nat > set_a) > nat). 0.18/0.56 thf(decl_218, type, esk78_1: (nat > set_b) > nat). 0.18/0.56 thf(decl_219, type, esk79_1: (nat > nat) > nat). 0.18/0.56 thf(decl_220, type, esk80_1: (nat > set_a) > nat). 0.18/0.56 thf(decl_221, type, esk81_1: (nat > nat) > nat). 0.18/0.56 thf(decl_222, type, esk82_3: nat > nat > (nat > $o) > nat). 0.18/0.56 thf(decl_223, type, esk83_3: nat > nat > (nat > $o) > nat). 0.18/0.56 thf(decl_224, type, esk84_2: (nat > $o) > nat > nat). 0.18/0.56 thf(decl_225, type, esk85_2: nat > nat > nat). 0.18/0.56 thf(decl_226, type, esk86_1: nat > nat). 0.18/0.56 thf(decl_227, type, esk87_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_228, type, esk88_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_229, type, esk89_1: nat > nat). 0.18/0.56 thf(decl_230, type, esk90_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_231, type, esk91_2: nat > (nat > $o) > nat). 0.18/0.56 thf(decl_232, type, esk92_2: nat > nat > nat). 0.18/0.56 thf(decl_233, type, esk93_2: (nat > $o) > nat > nat). 0.18/0.56 thf(decl_234, type, esk94_5: set_b > set_a > nat > (nat > b) > (nat > a) > nat > b). 0.18/0.56 thf(decl_235, type, esk95_5: set_b > set_a > nat > (nat > b) > (nat > a) > nat > a). 0.18/0.56 thf(decl_236, type, esk96_5: set_b > set_a > (nat > b) > nat > (nat > a) > nat > b). 0.18/0.56 thf(decl_237, type, esk97_5: set_b > set_a > (nat > b) > nat > (nat > a) > nat > a). 0.18/0.56 thf(decl_238, type, esk98_6: set_b > set_a > (nat > b) > nat > (nat > a) > nat > nat > b). 0.18/0.56 thf(decl_239, type, esk99_6: set_b > set_a > (nat > b) > nat > (nat > a) > nat > nat > a). 0.18/0.56 thf(decl_240, type, esk100_2: (nat > a) > (nat > b) > nat > a). 0.18/0.56 thf(decl_241, type, epred1_1: nat > nat > $o). 0.18/0.56 thf(decl_242, type, esk101_1: set_b > nat > set_b). 0.18/0.56 thf(decl_243, type, esk102_2: set_a > set_b > nat > set_a). 0.18/0.56 thf(decl_244, type, esk103_3: (nat > a) > (nat > b) > b > nat > a). 0.18/0.56 thf(decl_245, type, esk104_1: set_a > nat > set_a). 0.18/0.56 thf(decl_246, type, esk105_1: set_nat_b > nat > set_nat_b). 0.18/0.56 thf(decl_247, type, esk106_1: set_nat_a > nat > set_nat_a). 0.18/0.56 thf(decl_248, type, esk107_1: set_nat > nat > set_nat). 0.18/0.56 thf(decl_249, type, epred2_1: set_a > a > $o). 0.18/0.56 thf(decl_250, type, epred3_1: set_nat_b > (nat > b) > $o). 0.18/0.56 thf(decl_251, type, epred4_1: set_b > b > $o). 0.18/0.56 thf(decl_252, type, epred5_1: set_nat_a > (nat > a) > $o). 0.18/0.56 thf(decl_253, type, epred6_1: set_nat > nat > $o). 0.18/0.56 thf(decl_254, type, epred7_1: set_b > set_b > $o). 0.18/0.56 thf(decl_255, type, epred8_1: set_a > set_a > $o). 0.18/0.56 thf(decl_256, type, epred9_2: ((nat > b) > $o) > set_nat_b > (nat > b) > $o). 0.18/0.56 thf(decl_257, type, epred10_2: ((nat > a) > $o) > set_nat_a > (nat > a) > $o). 0.18/0.56 thf(decl_258, type, epred11_2: (nat > $o) > set_nat > nat > $o). 0.18/0.56 thf(decl_259, type, epred12_2: (b > $o) > set_b > b > $o). 0.18/0.56 thf(decl_260, type, epred13_2: (a > $o) > set_a > a > $o). 0.18/0.56 thf(decl_261, type, esk108_1: set_a > a > set_a). 0.18/0.56 thf(decl_262, type, esk109_2: set_a > set_a > a > set_a_a). 0.18/0.56 thf(decl_263, type, esk110_1: set_b > a > set_b). 0.18/0.56 thf(decl_264, type, esk111_2: set_b > set_a > a > set_a_b). 0.18/0.56 thf(decl_265, type, esk112_1: set_nat > a > set_nat). 0.18/0.56 thf(decl_266, type, esk113_2: set_nat > set_a > a > set_a_nat). 0.18/0.56 thf(decl_267, type, esk114_1: set_a > b > set_a). 0.18/0.56 thf(decl_268, type, esk115_2: set_a > set_b > a > set_b_a). 0.18/0.56 thf(decl_269, type, esk116_1: set_b > b > set_b). 0.18/0.56 thf(decl_270, type, esk117_2: set_b > set_b > a > set_b_b). 0.18/0.56 thf(decl_271, type, esk118_1: set_nat > b > set_nat). 0.18/0.56 thf(decl_272, type, esk119_2: set_nat > set_b > a > set_b_nat). 0.18/0.56 thf(decl_273, type, esk120_2: set_a > set_nat > a > set_nat_a). 0.18/0.56 thf(decl_274, type, esk121_2: set_b > set_nat > a > set_nat_b). 0.18/0.56 thf(decl_275, type, esk122_2: set_nat > set_nat > a > set_nat_nat). 0.18/0.56 thf(decl_276, type, esk123_2: set_a > set_a > b > set_a_a). 0.18/0.56 thf(decl_277, type, esk124_1: set_nat_b > a > set_nat_b). 0.18/0.56 thf(decl_278, type, esk125_2: set_b > set_nat > (nat > b) > set_nat_b). 0.18/0.56 thf(decl_279, type, esk126_2: set_a > set_nat > (nat > b) > set_nat_a). 0.18/0.56 thf(decl_280, type, esk127_2: set_b > set_nat > b > set_nat_b). 0.18/0.56 thf(decl_281, type, esk128_2: set_a > set_nat > b > set_nat_a). 0.18/0.56 thf(decl_282, type, esk129_2: set_b > set_nat > (nat > a) > set_nat_b). 0.18/0.56 thf(decl_283, type, esk130_2: set_a > set_nat > (nat > a) > set_nat_a). 0.18/0.56 thf(conj_14, conjecture, ((nsum_a1196845273_a_b_c @ m @ (^[X20:nat]:(sprod_a_b_c @ m @ (s @ X20) @ (h2 @ X20))) @ k)=(nsum_a1196845273_a_b_c @ m @ (^[X20:nat]:(sprod_a_b_c @ m @ (s @ X20) @ (h2 @ X20))) @ (suc @ (minus_minus_nat @ k @ (suc @ zero_zero_nat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_14)). 0.18/0.56 thf(conj_12, hypothesis, ((h2 @ k)=(nsum_a1196845273_a_b_c @ m @ (^[X20:nat]:(sprod_a_b_c @ m @ (s @ X20) @ (h2 @ X20))) @ k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_12)). 0.18/0.56 thf(fact_332_jointgd__tool2, axiom, ![X5:nat]:(((ord_less_nat @ zero_zero_nat @ X5)=>((X5)=(suc @ (minus_minus_nat @ X5 @ (suc @ zero_zero_nat)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_332_jointgd__tool2)). 0.18/0.56 thf(conj_5, hypothesis, (ord_less_nat @ zero_zero_nat @ k), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_5)). 0.18/0.56 thf(c_0_4, negated_conjecture, ((nsum_a1196845273_a_b_c @ m @ (^[Z0:nat]:(sprod_a_b_c @ m @ (s @ Z0) @ (h2 @ Z0))) @ k)!=(nsum_a1196845273_a_b_c @ m @ (^[Z0:nat]:(sprod_a_b_c @ m @ (s @ Z0) @ (h2 @ Z0))) @ (suc @ (minus_minus_nat @ k @ (suc @ zero_zero_nat))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_14])])])). 0.18/0.56 thf(c_0_5, plain, ![X2699:nat, X18:nat > b, X2:nat > a]:(((esk100_2 @ X2 @ X18 @ X2699)=(sprod_a_b_c @ m @ (X18 @ X2699) @ (X2 @ X2699)))), introduced(definition)). 0.18/0.56 thf(c_0_6, hypothesis, ((h2 @ k)=(nsum_a1196845273_a_b_c @ m @ (^[Z0:nat]:(sprod_a_b_c @ m @ (s @ Z0) @ (h2 @ Z0))) @ k)), inference(fof_simplification,[status(thm)],[conj_12])). 0.18/0.56 thf(c_0_7, negated_conjecture, ((nsum_a1196845273_a_b_c @ m @ (esk100_2 @ h2 @ s) @ k)!=(nsum_a1196845273_a_b_c @ m @ (esk100_2 @ h2 @ s) @ (suc @ (minus_minus_nat @ k @ (suc @ zero_zero_nat))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4]), c_0_5]), c_0_5])). 0.18/0.56 thf(c_0_8, hypothesis, ((h2 @ k)=(nsum_a1196845273_a_b_c @ m @ (esk100_2 @ h2 @ s) @ k)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_6]), c_0_5])). 0.18/0.56 thf(c_0_9, plain, ![X2642:nat]:((~(ord_less_nat @ zero_zero_nat @ X2642)|((X2642)=(suc @ (minus_minus_nat @ X2642 @ (suc @ zero_zero_nat)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_jointgd__tool2])])). 0.18/0.56 thf(c_0_10, negated_conjecture, ((nsum_a1196845273_a_b_c @ m @ (esk100_2 @ h2 @ s) @ (suc @ (minus_minus_nat @ k @ (suc @ zero_zero_nat))))!=(h2 @ k)), inference(rw,[status(thm)],[c_0_7, c_0_8])). 0.18/0.56 thf(c_0_11, plain, ![X1:nat]:((((X1)=(suc @ (minus_minus_nat @ X1 @ (suc @ zero_zero_nat))))|~((ord_less_nat @ zero_zero_nat @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.18/0.56 thf(c_0_12, hypothesis, (ord_less_nat @ zero_zero_nat @ k), inference(split_conjunct,[status(thm)],[conj_5])). 0.18/0.56 thf(c_0_13, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_8]), c_0_12])]), ['proof']). 0.18/0.56 # SZS output end CNFRefutation 0.18/0.56 # Parsed axioms : 521 0.18/0.56 # Removed by relevancy pruning/SinE : 0 0.18/0.56 # Initial clauses : 758 0.18/0.56 # Removed in clause preprocessing : 191 0.18/0.56 # Initial clauses in saturation : 567 0.18/0.56 # Processed clauses : 75 0.18/0.56 # ...of these trivial : 3 0.18/0.56 # ...subsumed : 13 0.18/0.56 # ...remaining for further processing : 59 0.18/0.56 # Other redundant clauses eliminated : 21 0.18/0.56 # Clauses deleted for lack of memory : 0 0.18/0.56 # Backward-subsumed : 0 0.18/0.56 # Backward-rewritten : 0 0.18/0.56 # Generated clauses : 60 0.18/0.56 # ...of the previous two non-redundant : 39 0.18/0.56 # ...aggressively subsumed : 0 0.18/0.56 # Contextual simplify-reflections : 0 0.18/0.56 # Paramodulations : 37 0.18/0.56 # Factorizations : 0 0.18/0.56 # NegExts : 0 0.18/0.56 # Equation resolutions : 22 0.18/0.56 # Propositional unsat checks : 0 0.18/0.56 # Propositional check models : 0 0.18/0.56 # Propositional check unsatisfiable : 0 0.18/0.56 # Propositional clauses : 0 0.18/0.56 # Propositional clauses after purity: 0 0.18/0.56 # Propositional unsat core size : 0 0.18/0.56 # Propositional preprocessing time : 0.000 0.18/0.56 # Propositional encoding time : 0.000 0.18/0.56 # Propositional solver time : 0.000 0.18/0.56 # Success case prop preproc time : 0.000 0.18/0.56 # Success case prop encoding time : 0.000 0.18/0.56 # Success case prop solver time : 0.000 0.18/0.56 # Current number of processed clauses : 45 0.18/0.56 # Positive orientable unit clauses : 25 0.18/0.56 # Positive unorientable unit clauses: 0 0.18/0.56 # Negative unit clauses : 7 0.18/0.56 # Non-unit-clauses : 13 0.18/0.56 # Current number of unprocessed clauses: 526 0.18/0.56 # ...number of literals in the above : 1421 0.18/0.56 # Current number of archived formulas : 0 0.18/0.56 # Current number of archived clauses : 0 0.18/0.56 # Clause-clause subsumption calls (NU) : 13 0.18/0.56 # Rec. Clause-clause subsumption calls : 13 0.18/0.56 # Non-unit clause-clause subsumptions : 4 0.18/0.56 # Unit Clause-clause subsumption calls : 9 0.18/0.56 # Rewrite failures with RHS unbound : 0 0.18/0.56 # BW rewrite match attempts : 6 0.18/0.56 # BW rewrite match successes : 0 0.18/0.56 # Condensation attempts : 75 0.18/0.56 # Condensation successes : 0 0.18/0.56 # Termbank termtop insertions : 70011 0.18/0.56 0.18/0.56 # ------------------------------------------------- 0.18/0.56 # User time : 0.064 s 0.18/0.56 # System time : 0.011 s 0.18/0.56 # Total time : 0.076 s 0.18/0.56 # Maximum resident set size: 6208 pages 0.18/0.56 0.18/0.56 # ------------------------------------------------- 0.18/0.56 # User time : 0.082 s 0.18/0.56 # System time : 0.014 s 0.18/0.56 # Total time : 0.096 s 0.18/0.56 # Maximum resident set size: 2776 pages 0.18/0.56 EOF