0.00/0.10 % Problem : SLH258^1 : TPTP v7.5.0. Released v7.5.0. 0.10/0.11 % Command : run_E %s %d THM 0.11/0.30 % Computer : n028.cluster.edu 0.11/0.30 % Model : x86_64 x86_64 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.30 % Memory : 8042.1875MB 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.30 % CPULimit : 30 0.11/0.30 % WCLimit : 30 0.11/0.30 % DateTime : Tue Aug 9 02:51:20 EDT 2022 0.11/0.31 % CPUTime : 0.16/0.41 The problem SPC is TH0_THM_EQU_NAR 0.16/0.41 Running higher-order on 1 cores theorem proving 0.16/0.41 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/benchmark/theBenchmark.p 0.16/0.41 # Version: 3.0pre003-ho 0.40/0.60 # Preprocessing class: HSLMSMSSSSLNHHA. 0.40/0.60 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.40/0.60 # Starting new_ho_10 with 30s (1) cores 0.40/0.60 # new_ho_10 with pid 31990 completed with status 0 0.40/0.60 # Result found by new_ho_10 0.40/0.60 # Preprocessing class: HSLMSMSSSSLNHHA. 0.40/0.60 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.40/0.60 # Starting new_ho_10 with 30s (1) cores 0.40/0.60 # No SInE strategy applied 0.40/0.60 # Search class: HGHSM-FSLM32-DHHFFFBN 0.40/0.60 # partial match(1): HGHSM-FSLM32-DHFFFFBN 0.40/0.60 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.40/0.60 # Starting new_ho_10 with 19s (1) cores 0.40/0.60 # new_ho_10 with pid 31991 completed with status 0 0.40/0.60 # Result found by new_ho_10 0.40/0.60 # Preprocessing class: HSLMSMSSSSLNHHA. 0.40/0.60 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.40/0.60 # Starting new_ho_10 with 30s (1) cores 0.40/0.60 # No SInE strategy applied 0.40/0.60 # Search class: HGHSM-FSLM32-DHHFFFBN 0.40/0.60 # partial match(1): HGHSM-FSLM32-DHFFFFBN 0.40/0.60 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.40/0.60 # Starting new_ho_10 with 19s (1) cores 0.40/0.60 # Preprocessing time : 0.010 s 0.40/0.60 # Presaturation interreduction done 0.40/0.60 0.40/0.60 # Proof found! 0.40/0.60 # SZS status Theorem 0.40/0.60 # SZS output start CNFRefutation 0.40/0.60 thf(decl_22, type, carrie867757212xt_a_b: carrie1105631105xt_a_b > set_a). 0.40/0.60 thf(decl_23, type, j_rad_a_b: carrie1105631105xt_a_b > set_a). 0.40/0.60 thf(decl_24, type, ring_a_b: carrie1105631105xt_a_b > $o). 0.40/0.60 thf(decl_25, type, tp_a_b: carrie1105631105xt_a_b > a > a > a). 0.40/0.60 thf(decl_26, type, rxa_a_b: carrie1105631105xt_a_b > a > set_a). 0.40/0.60 thf(decl_27, type, sr_a_b: carrie1105631105xt_a_b > set_a > carrie1105631105xt_a_b). 0.40/0.60 thf(decl_28, type, subring_a_b_b: carrie1105631105xt_a_b > carrie1105631105xt_a_b > $o). 0.40/0.60 thf(decl_29, type, unit_a_b: carrie1105631105xt_a_b > a > $o). 0.40/0.60 thf(decl_30, type, mop_a_Ring_ext_a_b: carrie1105631105xt_a_b > a > a). 0.40/0.60 thf(decl_31, type, carr_d56066307_d_a_e: set_c > (c > carrie1948989069_d_a_e) > set_c_d). 0.40/0.60 thf(decl_32, type, carr_p1636662547_d_a_e: set_c > (c > carrie1948989069_d_a_e) > set_c_d). 0.40/0.60 thf(decl_33, type, ideal_a_b: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_34, type, ideal_pow_a_b: set_a > carrie1105631105xt_a_b > nat > set_a). 0.40/0.60 thf(decl_35, type, maximal_ideal_a_b: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_36, type, mul_closed_set_a_b: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_37, type, nilrad_a_b: carrie1105631105xt_a_b > set_a). 0.40/0.60 thf(decl_38, type, nprod_a_b: carrie1105631105xt_a_b > (nat > a) > nat > a). 0.40/0.60 thf(decl_39, type, nscal_a_b: carrie1105631105xt_a_b > a > nat > a). 0.40/0.60 thf(decl_40, type, nsum_a_Ring_ext_a_b: carrie1105631105xt_a_b > (nat > a) > nat > a). 0.40/0.60 thf(decl_41, type, primary_ideal_a_b: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_42, type, prime_ideal_a_b: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_43, type, prod_m854557927_d_a_e: set_c > (c > carrie1948989069_d_a_e) > (c > d) > c > d). 0.40/0.60 thf(decl_44, type, prod_p131511076_d_a_e: set_c > (c > carrie1948989069_d_a_e) > (c > d) > (c > d) > c > d). 0.40/0.60 thf(decl_45, type, prod_z1214987823_d_a_e: set_c > (c > carrie1948989069_d_a_e) > c > d). 0.40/0.60 thf(decl_46, type, rad_ideal_a_b: carrie1105631105xt_a_b > set_a > set_a). 0.40/0.60 thf(decl_47, type, set_ar2116026156xt_a_b: carrie1105631105xt_a_b > set_a > set_set_a). 0.40/0.60 thf(decl_48, type, sr_a_b2: carrie1105631105xt_a_b > set_a > $o). 0.40/0.60 thf(decl_49, type, sum_pr_ideals_a_b: carrie1105631105xt_a_b > (nat > a) > nat > set_a). 0.40/0.60 thf(decl_50, type, zeroring_a_b: carrie1105631105xt_a_b > $o). 0.40/0.60 thf(decl_51, type, ideal_quotient_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a). 0.40/0.60 thf(decl_52, type, set_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a). 0.40/0.60 thf(decl_53, type, sum_mult_a_b: carrie1105631105xt_a_b > set_a > set_a > set_a). 0.40/0.60 thf(decl_54, type, module_d_a_e_b: carrie1948989069_d_a_e > carrie1105631105xt_a_b > $o). 0.40/0.60 thf(decl_55, type, algebr1697692348_c_d_e: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > a > (c > d) > c > d). 0.40/0.60 thf(decl_56, type, pi_a_a_a_a: set_a_a_a > ((a > a > a) > set_a) > set_a_a_a_a4). 0.40/0.60 thf(decl_57, type, pi_a_a_nat_a: set_a_a > ((a > a) > set_nat_a) > set_a_a_nat_a). 0.40/0.60 thf(decl_58, type, pi_a_a_a_a2: set_a_a > ((a > a) > set_a_a) > set_a_a_a_a3). 0.40/0.60 thf(decl_59, type, pi_a_a_c_d: set_a_a > ((a > a) > set_c_d) > set_a_a_c_d2). 0.40/0.60 thf(decl_60, type, pi_a_a_a: set_a_a > ((a > a) > set_a) > set_a_a_a2). 0.40/0.60 thf(decl_61, type, pi_c_d_c_d_c_d: set_c_d > ((c > d) > set_c_d_c_d) > set_c_d_c_d_c_d). 0.40/0.60 thf(decl_62, type, pi_c_d_nat_a: set_c_d > ((c > d) > set_nat_a) > set_c_d_nat_a). 0.40/0.60 thf(decl_63, type, pi_c_d_a_a: set_c_d > ((c > d) > set_a_a) > set_c_d_a_a). 0.40/0.60 thf(decl_64, type, pi_c_d_c_d: set_c_d > ((c > d) > set_c_d) > set_c_d_c_d). 0.40/0.60 thf(decl_65, type, pi_c_d_a: set_c_d > ((c > d) > set_a) > set_c_d_a). 0.40/0.60 thf(decl_66, type, pi_nat_a: set_nat > (nat > set_a) > set_nat_a). 0.40/0.60 thf(decl_67, type, pi_a_a_a_a3: set_a > (a > set_a_a_a2) > set_a_a_a_a2). 0.40/0.60 thf(decl_68, type, pi_a_c_d_a: set_a > (a > set_c_d_a) > set_a_c_d_a). 0.40/0.60 thf(decl_69, type, pi_a_nat_a: set_a > (a > set_nat_a) > set_a_nat_a). 0.40/0.60 thf(decl_70, type, pi_a_a_c_d_c_d: set_a > (a > set_a_c_d_c_d) > set_a_a_c_d_c_d). 0.40/0.60 thf(decl_71, type, pi_a_a_a_a_a: set_a > (a > set_a_a_a_a) > set_a_a_a_a_a). 0.40/0.60 thf(decl_72, type, pi_a_a_a_a4: set_a > (a > set_a_a_a) > set_a_a_a_a). 0.40/0.60 thf(decl_73, type, pi_a_a_c_d2: set_a > (a > set_a_c_d) > set_a_a_c_d). 0.40/0.60 thf(decl_74, type, pi_a_a_a2: set_a > (a > set_a_a) > set_a_a_a). 0.40/0.60 thf(decl_75, type, pi_a_c_d: set_a > (a > set_c_d) > set_a_c_d). 0.40/0.60 thf(decl_76, type, pi_a_a: set_a > (a > set_a) > set_a_a). 0.40/0.60 thf(decl_77, type, pi_a_c: set_a > (a > set_c) > set_a_c). 0.40/0.60 thf(decl_78, type, pi_a_d: set_a > (a > set_d) > set_a_d). 0.40/0.60 thf(decl_79, type, pi_c_a: set_c > (c > set_a) > set_c_a). 0.40/0.60 thf(decl_80, type, pi_c_c: set_c > (c > set_c) > set_c_c). 0.40/0.60 thf(decl_81, type, pi_c_d: set_c > (c > set_d) > set_c_d). 0.40/0.60 thf(decl_82, type, pi_d_c_d: set_d > (d > set_c_d) > set_d_c_d). 0.40/0.60 thf(decl_83, type, pi_d_a: set_d > (d > set_a) > set_d_a). 0.40/0.60 thf(decl_84, type, pi_d_c: set_d > (d > set_c) > set_d_c). 0.40/0.60 thf(decl_85, type, pi_d_d: set_d > (d > set_d) > set_d_d). 0.40/0.60 thf(decl_86, type, ord_less_eq_nat: nat > nat > $o). 0.40/0.60 thf(decl_87, type, ord_le439192592_a_a_a: set_a_a_a2 > set_a_a_a2 > $o). 0.40/0.60 thf(decl_88, type, ord_le584600961_d_c_d: set_c_d_c_d > set_c_d_c_d > $o). 0.40/0.60 thf(decl_89, type, ord_le1711123407_c_d_a: set_c_d_a > set_c_d_a > $o). 0.40/0.60 thf(decl_90, type, ord_le157368549_nat_a: set_nat_a > set_nat_a > $o). 0.40/0.60 thf(decl_91, type, ord_le2074741719_d_c_d: set_a_a_c_d_c_d > set_a_a_c_d_c_d > $o). 0.40/0.60 thf(decl_92, type, ord_le684358314_a_a_a: set_a_a_a_a_a > set_a_a_a_a_a > $o). 0.40/0.60 thf(decl_93, type, ord_le748213841_a_a_a: set_a_a_a_a > set_a_a_a_a > $o). 0.40/0.60 thf(decl_94, type, ord_le1093597138_a_c_d: set_a_a_c_d > set_a_a_c_d > $o). 0.40/0.60 thf(decl_95, type, ord_le1221245524_a_a_a: set_a_a_a > set_a_a_a > $o). 0.40/0.60 thf(decl_96, type, ord_le810273877_a_c_d: set_a_c_d > set_a_c_d > $o). 0.40/0.60 thf(decl_97, type, ord_less_eq_set_a_a: set_a_a > set_a_a > $o). 0.40/0.60 thf(decl_98, type, ord_less_eq_set_c_a: set_c_a > set_c_a > $o). 0.40/0.60 thf(decl_99, type, ord_less_eq_set_c_d: set_c_d > set_c_d > $o). 0.40/0.60 thf(decl_100, type, ord_le1339730136_d_c_d: set_d_c_d > set_d_c_d > $o). 0.40/0.60 thf(decl_101, type, ord_less_eq_set_d_a: set_d_a > set_d_a > $o). 0.40/0.60 thf(decl_102, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.40/0.60 thf(decl_103, type, ord_less_eq_set_a: set_a > set_a > $o). 0.40/0.60 thf(decl_104, type, ord_less_eq_set_c: set_c > set_c > $o). 0.40/0.60 thf(decl_105, type, ord_less_eq_set_d: set_d > set_d > $o). 0.40/0.60 thf(decl_106, type, collect_c_d_c_d: (((c > d) > c > d) > $o) > set_c_d_c_d). 0.40/0.60 thf(decl_107, type, collect_a_a_a_a: ((a > a > a > a) > $o) > set_a_a_a_a). 0.40/0.60 thf(decl_108, type, collect_a_a_c_d: ((a > a > c > d) > $o) > set_a_a_c_d). 0.40/0.60 thf(decl_109, type, collect_a_a_a: ((a > a > a) > $o) > set_a_a_a). 0.40/0.60 thf(decl_110, type, collect_a_a: ((a > a) > $o) > set_a_a). 0.40/0.60 thf(decl_111, type, collect_c_d: ((c > d) > $o) > set_c_d). 0.40/0.60 thf(decl_112, type, collect_nat: (nat > $o) > set_nat). 0.40/0.60 thf(decl_113, type, collect_set_c_d: (set_c_d > $o) > set_set_c_d). 0.40/0.60 thf(decl_114, type, collect_set_a: (set_a > $o) > set_set_a). 0.40/0.60 thf(decl_115, type, collect_a: (a > $o) > set_a). 0.40/0.60 thf(decl_116, type, collect_c: (c > $o) > set_c). 0.40/0.60 thf(decl_117, type, collect_d: (d > $o) > set_d). 0.40/0.60 thf(decl_118, type, member_a_a_a_a: ((a > a > a) > a) > set_a_a_a_a4 > $o). 0.40/0.60 thf(decl_119, type, member_a_a_nat_a: ((a > a) > nat > a) > set_a_a_nat_a > $o). 0.40/0.60 thf(decl_120, type, member_a_a_a_a2: ((a > a) > a > a) > set_a_a_a_a3 > $o). 0.40/0.60 thf(decl_121, type, member_a_a_c_d: ((a > a) > c > d) > set_a_a_c_d2 > $o). 0.40/0.60 thf(decl_122, type, member_a_a_a: ((a > a) > a) > set_a_a_a2 > $o). 0.40/0.60 thf(decl_123, type, member_c_d_c_d_c_d: ((c > d) > (c > d) > c > d) > set_c_d_c_d_c_d > $o). 0.40/0.60 thf(decl_124, type, member_c_d_nat_a: ((c > d) > nat > a) > set_c_d_nat_a > $o). 0.40/0.60 thf(decl_125, type, member_c_d_a_a: ((c > d) > a > a) > set_c_d_a_a > $o). 0.40/0.60 thf(decl_126, type, member_c_d_c_d: ((c > d) > c > d) > set_c_d_c_d > $o). 0.40/0.60 thf(decl_127, type, member_c_d_a: ((c > d) > a) > set_c_d_a > $o). 0.40/0.60 thf(decl_128, type, member_nat_a: (nat > a) > set_nat_a > $o). 0.40/0.60 thf(decl_129, type, member_a_a_a_a3: (a > (a > a) > a) > set_a_a_a_a2 > $o). 0.40/0.60 thf(decl_130, type, member_a_c_d_c_d: (a > (c > d) > c > d) > set_a_c_d_c_d > $o). 0.40/0.60 thf(decl_131, type, member_a_c_d_a: (a > (c > d) > a) > set_a_c_d_a > $o). 0.40/0.60 thf(decl_132, type, member_a_nat_a: (a > nat > a) > set_a_nat_a > $o). 0.40/0.60 thf(decl_133, type, member_a_a_c_d_c_d: (a > a > (c > d) > c > d) > set_a_a_c_d_c_d > $o). 0.40/0.60 thf(decl_134, type, member_a_a_a_a_a: (a > a > a > a > a) > set_a_a_a_a_a > $o). 0.40/0.60 thf(decl_135, type, member_a_a_a_a4: (a > a > a > a) > set_a_a_a_a > $o). 0.40/0.60 thf(decl_136, type, member_a_a_c_d2: (a > a > c > d) > set_a_a_c_d > $o). 0.40/0.60 thf(decl_137, type, member_a_a_a2: (a > a > a) > set_a_a_a > $o). 0.40/0.60 thf(decl_138, type, member_a_c_d: (a > c > d) > set_a_c_d > $o). 0.40/0.60 thf(decl_139, type, member_a_a: (a > a) > set_a_a > $o). 0.40/0.60 thf(decl_140, type, member_a_c: (a > c) > set_a_c > $o). 0.40/0.60 thf(decl_141, type, member_a_d: (a > d) > set_a_d > $o). 0.40/0.60 thf(decl_142, type, member_c_a: (c > a) > set_c_a > $o). 0.40/0.60 thf(decl_143, type, member_c_c: (c > c) > set_c_c > $o). 0.40/0.60 thf(decl_144, type, member_c_d: (c > d) > set_c_d > $o). 0.40/0.60 thf(decl_145, type, member_d_a: (d > a) > set_d_a > $o). 0.40/0.60 thf(decl_146, type, member_d_c: (d > c) > set_d_c > $o). 0.40/0.60 thf(decl_147, type, member_d_d: (d > d) > set_d_d > $o). 0.40/0.60 thf(decl_148, type, member_nat: nat > set_nat > $o). 0.40/0.60 thf(decl_149, type, member_set_c_d: set_c_d > set_set_c_d > $o). 0.40/0.60 thf(decl_150, type, member_set_a: set_a > set_set_a > $o). 0.40/0.60 thf(decl_151, type, member_a: a > set_a > $o). 0.40/0.60 thf(decl_152, type, member_c: c > set_c > $o). 0.40/0.60 thf(decl_153, type, member_d: d > set_d > $o). 0.40/0.60 thf(decl_154, type, i: set_c). 0.40/0.60 thf(decl_155, type, m: c > carrie1948989069_d_a_e). 0.40/0.60 thf(decl_156, type, r: carrie1105631105xt_a_b). 0.40/0.60 thf(decl_157, type, esk1_2: set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_158, type, esk2_4: set_c > (c > carrie1948989069_d_a_e) > (c > d) > (c > d) > c). 0.40/0.60 thf(decl_159, type, esk3_3: set_c > (c > d) > (c > set_d) > c). 0.40/0.60 thf(decl_160, type, esk4_3: set_nat > (nat > a) > (nat > set_a) > nat). 0.40/0.60 thf(decl_161, type, esk5_3: set_a > (a > a) > (a > set_a) > a). 0.40/0.60 thf(decl_162, type, esk6_3: set_c_d > ((c > d) > a) > ((c > d) > set_a) > c > d). 0.40/0.60 thf(decl_163, type, esk7_3: set_a_a > ((a > a) > a) > ((a > a) > set_a) > a > a). 0.40/0.60 thf(decl_164, type, esk8_3: set_a > (a > c > d) > (a > set_c_d) > a). 0.40/0.60 thf(decl_165, type, esk9_3: set_a > (a > a > a) > (a > set_a_a) > a). 0.40/0.60 thf(decl_166, type, esk10_3: set_c_d > ((c > d) > c > d) > ((c > d) > set_c_d) > c > d). 0.40/0.60 thf(decl_167, type, esk11_3: set_c_d > ((c > d) > a > a) > ((c > d) > set_a_a) > c > d). 0.40/0.60 thf(decl_168, type, esk12_3: set_a_a_a > ((a > a > a) > a) > ((a > a > a) > set_a) > a > a > a). 0.40/0.60 thf(decl_169, type, esk13_2: set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_170, type, esk14_2: set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_171, type, esk15_3: set_nat > (nat > a) > set_a > nat). 0.40/0.60 thf(decl_172, type, esk16_3: set_a > (a > a) > set_a > a). 0.40/0.60 thf(decl_173, type, esk17_3: set_a > (a > d) > set_d > a). 0.40/0.60 thf(decl_174, type, esk18_3: set_a > (a > c) > set_c > a). 0.40/0.60 thf(decl_175, type, esk19_3: set_d > (d > a) > set_a > d). 0.40/0.60 thf(decl_176, type, esk20_3: set_d > (d > d) > set_d > d). 0.40/0.60 thf(decl_177, type, esk21_3: set_d > (d > c) > set_c > d). 0.40/0.60 thf(decl_178, type, esk22_3: set_c > (c > a) > set_a > c). 0.40/0.60 thf(decl_179, type, esk23_3: set_c > (c > d) > set_d > c). 0.40/0.60 thf(decl_180, type, esk24_3: set_c > (c > c) > set_c > c). 0.40/0.60 thf(decl_181, type, esk25_3: set_c > (c > set_d) > (c > set_d) > c). 0.40/0.60 thf(decl_182, type, esk26_3: set_nat > (nat > set_a) > (nat > set_a) > nat). 0.40/0.60 thf(decl_183, type, esk27_3: set_a > (a > set_a) > (a > set_a) > a). 0.40/0.60 thf(decl_184, type, esk28_3: set_d > (d > set_a) > (d > set_a) > d). 0.40/0.60 thf(decl_185, type, esk29_3: set_c > (c > set_a) > (c > set_a) > c). 0.40/0.60 thf(decl_186, type, esk30_3: set_a > (a > set_a_a) > (a > set_a_a) > a). 0.40/0.60 thf(decl_187, type, esk31_3: set_c_d > ((c > d) > set_a) > ((c > d) > set_a) > c > d). 0.40/0.60 thf(decl_188, type, esk32_3: set_a_a > ((a > a) > set_a) > ((a > a) > set_a) > a > a). 0.40/0.60 thf(decl_189, type, esk33_3: set_a > (a > set_c_d) > (a > set_c_d) > a). 0.40/0.60 thf(decl_190, type, esk34_3: set_d > (d > set_c_d) > (d > set_c_d) > d). 0.40/0.60 thf(decl_191, type, esk35_2: set_c_d_c_d > set_c_d_c_d > (c > d) > c > d). 0.40/0.60 thf(decl_192, type, esk36_2: set_a_a_a > set_a_a_a > a > a > a). 0.40/0.60 thf(decl_193, type, esk37_2: set_a_a > set_a_a > a > a). 0.40/0.60 thf(decl_194, type, esk38_2: set_a_a_c_d > set_a_a_c_d > a > a > c > d). 0.40/0.60 thf(decl_195, type, esk39_2: set_a_a_a_a_a > set_a_a_a_a_a > a > a > a > a > a). 0.40/0.60 thf(decl_196, type, esk40_2: set_a_a_a_a > set_a_a_a_a > a > a > a > a). 0.40/0.60 thf(decl_197, type, esk41_2: set_d > set_d > d). 0.40/0.60 thf(decl_198, type, esk42_2: set_c > set_c > c). 0.40/0.60 thf(decl_199, type, esk43_2: set_a > set_a > a). 0.40/0.60 thf(decl_200, type, esk44_2: set_c_d > set_c_d > c > d). 0.40/0.60 thf(decl_201, type, esk45_2: set_c_d_c_d > set_c_d_c_d > (c > d) > c > d). 0.40/0.60 thf(decl_202, type, esk46_2: set_a_a_a > set_a_a_a > a > a > a). 0.40/0.60 thf(decl_203, type, esk47_2: set_a_a > set_a_a > a > a). 0.40/0.60 thf(decl_204, type, esk48_2: set_a_a_c_d > set_a_a_c_d > a > a > c > d). 0.40/0.60 thf(decl_205, type, esk49_2: set_a_a_a_a_a > set_a_a_a_a_a > a > a > a > a > a). 0.40/0.60 thf(decl_206, type, esk50_2: set_a_a_a_a > set_a_a_a_a > a > a > a > a). 0.40/0.60 thf(decl_207, type, esk51_2: set_d > set_d > d). 0.40/0.60 thf(decl_208, type, esk52_2: set_c > set_c > c). 0.40/0.60 thf(decl_209, type, esk53_2: set_a > set_a > a). 0.40/0.60 thf(decl_210, type, esk54_2: set_c_d > set_c_d > c > d). 0.40/0.60 thf(decl_211, type, esk55_2: set_c_d_c_d > set_c_d_c_d > (c > d) > c > d). 0.40/0.60 thf(decl_212, type, esk56_2: set_a_a_a > set_a_a_a > a > a > a). 0.40/0.60 thf(decl_213, type, esk57_2: set_a_a > set_a_a > a > a). 0.40/0.60 thf(decl_214, type, esk58_2: set_a_a_c_d > set_a_a_c_d > a > a > c > d). 0.40/0.60 thf(decl_215, type, esk59_2: set_a_a_a_a_a > set_a_a_a_a_a > a > a > a > a > a). 0.40/0.60 thf(decl_216, type, esk60_2: set_a_a_a_a > set_a_a_a_a > a > a > a > a). 0.40/0.60 thf(decl_217, type, esk61_2: set_d > set_d > d). 0.40/0.60 thf(decl_218, type, esk62_2: set_c > set_c > c). 0.40/0.60 thf(decl_219, type, esk63_2: set_a > set_a > a). 0.40/0.60 thf(decl_220, type, esk64_2: set_c_d > set_c_d > c > d). 0.40/0.60 thf(decl_221, type, esk65_3: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_222, type, esk66_3: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_223, type, esk67_3: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > c). 0.40/0.60 thf(decl_224, type, esk68_5: carrie1105631105xt_a_b > set_c > (c > carrie1948989069_d_a_e) > (c > d) > (c > d) > c). 0.40/0.60 thf(decl_225, type, esk69_3: set_nat > (nat > a) > (nat > a) > nat). 0.40/0.60 thf(decl_226, type, esk70_3: set_a > (a > a) > (a > a) > a). 0.40/0.60 thf(decl_227, type, esk71_3: set_c > (c > d) > (c > d) > c). 0.40/0.60 thf(decl_228, type, esk72_3: set_a > (a > c > d) > (a > c > d) > a). 0.40/0.60 thf(decl_229, type, esk73_3: set_a > (a > a > a) > (a > a > a) > a). 0.40/0.60 thf(decl_230, type, esk74_3: set_c_d > ((c > d) > c > d) > ((c > d) > c > d) > c > d). 0.40/0.60 thf(decl_231, type, esk75_3: set_a > (a > a > c > d) > (a > a > c > d) > a). 0.40/0.60 thf(decl_232, type, esk76_3: set_a > (a > a > a > a) > (a > a > a > a) > a). 0.40/0.60 thf(decl_233, type, esk77_3: set_a > (a > a > a > a > a) > (a > a > a > a > a) > a). 0.40/0.60 thf(decl_234, type, esk78_3: set_c_d > ((c > d) > (c > d) > c > d) > ((c > d) > (c > d) > c > d) > c > d). 0.40/0.60 thf(decl_235, type, esk79_3: (nat > a) > set_nat > (nat > set_a) > nat). 0.40/0.60 thf(decl_236, type, esk80_3: (c > d) > set_c > (c > set_d) > c). 0.40/0.60 thf(decl_237, type, esk81_3: (a > a) > set_a > (a > set_a) > a). 0.40/0.60 thf(decl_238, type, esk82_3: (a > c > d) > set_a > (a > set_c_d) > a). 0.40/0.60 thf(decl_239, type, esk83_3: (a > a > a) > set_a > (a > set_a_a) > a). 0.40/0.60 thf(decl_240, type, esk84_3: ((c > d) > c > d) > set_c_d > ((c > d) > set_c_d) > c > d). 0.40/0.60 thf(decl_241, type, esk85_3: (a > a > c > d) > set_a > (a > set_a_c_d) > a). 0.40/0.60 thf(decl_242, type, esk86_3: (a > a > a > a) > set_a > (a > set_a_a_a) > a). 0.40/0.60 thf(decl_243, type, esk87_3: (a > a > a > a > a) > set_a > (a > set_a_a_a_a) > a). 0.40/0.60 thf(decl_244, type, esk88_3: (a > a > (c > d) > c > d) > set_a > (a > set_a_c_d_c_d) > a). 0.40/0.60 thf(decl_245, type, esk89_3: set_nat > (nat > a) > (nat > set_a) > nat). 0.40/0.60 thf(decl_246, type, esk90_3: set_a > (a > a) > (a > set_a) > a). 0.40/0.60 thf(decl_247, type, esk91_3: set_a > (a > d) > (a > set_d) > a). 0.40/0.60 thf(decl_248, type, esk92_3: set_a > (a > c) > (a > set_c) > a). 0.40/0.60 thf(decl_249, type, esk93_3: set_d > (d > a) > (d > set_a) > d). 0.40/0.60 thf(decl_250, type, esk94_3: set_d > (d > d) > (d > set_d) > d). 0.40/0.60 thf(decl_251, type, esk95_3: set_d > (d > c) > (d > set_c) > d). 0.40/0.60 thf(decl_252, type, esk96_3: set_c > (c > a) > (c > set_a) > c). 0.40/0.60 thf(decl_253, type, esk97_3: set_c > (c > d) > (c > set_d) > c). 0.40/0.60 thf(decl_254, type, esk98_3: set_c > (c > c) > (c > set_c) > c). 0.40/0.60 thf(decl_255, type, esk99_3: (nat > a) > nat > (nat > a) > nat). 0.40/0.60 thf(decl_256, type, esk100_0: set_a). 0.40/0.60 thf(decl_257, type, esk101_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_258, type, esk102_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_259, type, esk103_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_260, type, esk104_3: nat > (nat > a) > (nat > a) > nat). 0.40/0.60 thf(decl_261, type, esk105_3: nat > (nat > a) > (nat > a) > nat). 0.40/0.60 thf(decl_262, type, esk106_1: a > set_a). 0.40/0.60 thf(decl_263, type, esk107_3: set_a > set_a > a > nat). 0.40/0.60 thf(decl_264, type, esk108_3: set_a > set_a > a > nat > a). 0.40/0.60 thf(decl_265, type, esk109_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_266, type, esk110_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_267, type, esk111_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_268, type, esk112_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_269, type, esk113_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_270, type, esk114_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_271, type, esk115_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_272, type, esk116_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_273, type, esk117_3: set_a > set_a > set_a > a). 0.40/0.60 thf(decl_274, type, esk118_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_275, type, esk119_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_276, type, esk120_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_277, type, esk121_3: set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_278, type, esk122_4: set_a > set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_279, type, esk123_4: set_a > set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_280, type, esk124_4: set_a > set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_281, type, esk125_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_282, type, esk126_2: nat > (nat > a) > nat). 0.40/0.60 thf(decl_283, type, esk127_4: set_a > set_a > set_a > a > a). 0.40/0.60 thf(decl_284, type, esk128_5: set_a > set_a > a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_285, type, esk129_1: (nat > a) > nat). 0.40/0.60 thf(decl_286, type, esk130_4: set_a > set_a > nat > (nat > a) > nat). 0.40/0.60 thf(decl_287, type, esk131_4: a > a > a > a > a). 0.40/0.60 thf(decl_288, type, esk132_0: c > d). 0.40/0.60 thf(decl_289, type, esk133_1: set_a > nat > set_a). 0.40/0.60 thf(decl_290, type, esk134_2: set_a > set_nat > a > set_nat_a). 0.40/0.60 thf(decl_291, type, esk135_1: set_d > c > set_d). 0.40/0.60 thf(decl_292, type, esk136_2: set_d > set_c > a > set_c_d). 0.40/0.60 thf(decl_293, type, esk137_1: set_a > a > set_a). 0.40/0.60 thf(decl_294, type, esk138_2: set_a > set_a > a > set_a_a). 0.40/0.60 thf(decl_295, type, esk139_2: set_a > set_nat > (c > d) > set_nat_a). 0.40/0.60 thf(decl_296, type, esk140_2: set_a > set_a > (c > d) > set_a_a). 0.40/0.60 thf(decl_297, type, esk141_2: set_a > set_nat > (a > a) > set_nat_a). 0.40/0.60 thf(decl_298, type, esk142_2: set_d > set_c > (a > a) > set_c_d). 0.40/0.60 thf(decl_299, type, esk143_2: set_a > set_a > (a > a) > set_a_a). 0.40/0.60 thf(decl_300, type, esk144_1: set_a_a > a > set_a_a). 0.40/0.60 thf(decl_301, type, esk145_2: set_a_a > set_a > a > set_a_a_a). 0.40/0.60 thf(decl_302, type, esk146_2: set_d > set_c > (c > d) > set_c_d). 0.40/0.60 thf(decl_303, type, esk147_1: set_a > (c > d) > set_a). 0.40/0.60 thf(decl_304, type, esk148_2: set_a > set_c_d > a > set_c_d_a). 0.40/0.60 thf(decl_305, type, esk149_1: set_a > (a > a) > set_a). 0.40/0.60 thf(decl_306, type, esk150_2: set_a > set_a_a > a > set_a_a_a2). 0.40/0.60 thf(decl_307, type, esk151_1: set_c_d > a > set_c_d). 0.40/0.60 thf(decl_308, type, esk152_2: set_c_d > set_a > a > set_a_c_d). 0.40/0.60 thf(decl_309, type, esk153_1: set_c_d > (c > d) > set_c_d). 0.40/0.60 thf(decl_310, type, esk154_1: set_a_c_d > a > set_a_c_d). 0.40/0.60 thf(decl_311, type, esk155_1: set_a_a_a > a > set_a_a_a). 0.40/0.60 thf(decl_312, type, esk156_1: set_a_a_a_a > a > set_a_a_a_a). 0.40/0.60 thf(decl_313, type, esk157_1: set_c_d_c_d > (c > d) > set_c_d_c_d). 0.40/0.60 thf(decl_314, type, esk158_1: set_d > a > set_d). 0.40/0.60 thf(decl_315, type, esk159_1: set_c > a > set_c). 0.40/0.60 thf(decl_316, type, esk160_1: set_a > d > set_a). 0.40/0.60 thf(decl_317, type, esk161_1: set_d > d > set_d). 0.40/0.60 thf(decl_318, type, esk162_1: set_c > d > set_c). 0.40/0.60 thf(decl_319, type, esk163_1: set_a > c > set_a). 0.40/0.60 thf(decl_320, type, esk164_1: set_c > c > set_c). 0.40/0.60 thf(decl_321, type, esk165_0: (c > d) > c > d). 0.40/0.60 thf(decl_322, type, esk166_0: a > a). 0.40/0.60 thf(decl_323, type, epred1_1: set_a > set_a > $o). 0.40/0.60 thf(decl_324, type, epred2_1: nat > nat > $o). 0.40/0.60 thf(decl_325, type, epred3_1: set_c_d > set_c_d > $o). 0.40/0.60 thf(decl_326, type, epred4_2: (d > $o) > set_d > d > $o). 0.40/0.60 thf(decl_327, type, epred5_2: (c > $o) > set_c > c > $o). 0.40/0.60 thf(decl_328, type, epred6_2: (nat > $o) > set_nat > nat > $o). 0.40/0.60 thf(decl_329, type, epred7_2: (a > $o) > set_a > a > $o). 0.40/0.60 thf(decl_330, type, epred8_2: ((a > a) > $o) > set_a_a > (a > a) > $o). 0.40/0.60 thf(decl_331, type, epred9_2: ((c > d) > $o) > set_c_d > (c > d) > $o). 0.40/0.60 thf(decl_332, type, epred10_2: ((a > a > a) > $o) > set_a_a_a > (a > a > a) > $o). 0.40/0.60 thf(decl_333, type, epred11_2: (((c > d) > c > d) > $o) > set_c_d_c_d > ((c > d) > c > d) > $o). 0.40/0.60 thf(decl_334, type, epred12_2: ((a > a > c > d) > $o) > set_a_a_c_d > (a > a > c > d) > $o). 0.40/0.60 thf(decl_335, type, epred13_2: ((a > a > a > a) > $o) > set_a_a_a_a > (a > a > a > a) > $o). 0.40/0.60 thf(decl_336, type, esk167_2: (nat > a) > a > nat > a). 0.40/0.60 thf(decl_337, type, esk168_0: c). 0.40/0.60 thf(decl_338, type, esk169_0: a). 0.40/0.60 thf(conj_1, hypothesis, ((((((member_c_d_c_d_c_d @ (prod_p131511076_d_a_e @ i @ m) @ (pi_c_d_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[X1081:c > d]:(pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[X1082:c > d]:(carr_p1636662547_d_a_e @ i @ m))))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1084:c > d]:(((member_c_d @ X1084 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1085:c > d]:(((member_c_d @ X1085 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_p131511076_d_a_e @ i @ m @ X1083 @ X1084) @ X1085)=(prod_p131511076_d_a_e @ i @ m @ X1083 @ (prod_p131511076_d_a_e @ i @ m @ X1084 @ X1085))))))))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1084:c > d]:(((member_c_d @ X1084 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ X1083 @ X1084)=(prod_p131511076_d_a_e @ i @ m @ X1084 @ X1083)))))))&(member_c_d_c_d @ (prod_m854557927_d_a_e @ i @ m) @ (pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[X1086:c > d]:(carr_p1636662547_d_a_e @ i @ m)))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_m854557927_d_a_e @ i @ m @ X1083) @ X1083)=(prod_z1214987823_d_a_e @ i @ m)))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_z1214987823_d_a_e @ i @ m) @ X1083)=(X1083))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 0.40/0.60 thf(conj_6, conjecture, ![X1090:c > d]:((~((member_c_d @ X1090 @ (carr_d56066307_d_a_e @ i @ m)))|((prod_p131511076_d_a_e @ i @ m @ X1090 @ (prod_z1214987823_d_a_e @ i @ m))=(X1090)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_6)). 0.40/0.60 thf(fact_0_carr__dsum__prod1, axiom, ![X1:set_c, X2:c > carrie1948989069_d_a_e, X3:c > d]:(((member_c_d @ X3 @ (carr_d56066307_d_a_e @ X1 @ X2))=>(member_c_d @ X3 @ (carr_p1636662547_d_a_e @ X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_carr__dsum__prod1)). 0.40/0.60 thf(conj_5, hypothesis, (member_c_d @ (prod_z1214987823_d_a_e @ i @ m) @ (carr_d56066307_d_a_e @ i @ m)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_5)). 0.40/0.60 thf(c_0_4, hypothesis, ((((((member_c_d_c_d_c_d @ (prod_p131511076_d_a_e @ i @ m) @ (pi_c_d_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z0:c > d]:(pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z1:c > d]:(carr_p1636662547_d_a_e @ i @ m))))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1084:c > d]:(((member_c_d @ X1084 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1085:c > d]:(((member_c_d @ X1085 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_p131511076_d_a_e @ i @ m @ X1083 @ X1084) @ X1085)=(prod_p131511076_d_a_e @ i @ m @ X1083 @ (prod_p131511076_d_a_e @ i @ m @ X1084 @ X1085))))))))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>![X1084:c > d]:(((member_c_d @ X1084 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ X1083 @ X1084)=(prod_p131511076_d_a_e @ i @ m @ X1084 @ X1083)))))))&(member_c_d_c_d @ (prod_m854557927_d_a_e @ i @ m) @ (pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z0:c > d]:(carr_p1636662547_d_a_e @ i @ m)))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_m854557927_d_a_e @ i @ m @ X1083) @ X1083)=(prod_z1214987823_d_a_e @ i @ m)))))&![X1083:c > d]:(((member_c_d @ X1083 @ (carr_p1636662547_d_a_e @ i @ m))=>((prod_p131511076_d_a_e @ i @ m @ (prod_z1214987823_d_a_e @ i @ m) @ X1083)=(X1083))))), inference(fof_simplification,[status(thm)],[conj_1])). 0.40/0.60 thf(c_0_5, negated_conjecture, ~(![X1090:c > d]:((~(member_c_d @ X1090 @ (carr_d56066307_d_a_e @ i @ m))|((prod_p131511076_d_a_e @ i @ m @ X1090 @ (prod_z1214987823_d_a_e @ i @ m))=(X1090))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])])). 0.40/0.60 thf(c_0_6, hypothesis, ![X3618:c > d, X3619:c > d, X3620:c > d, X3621:c > d, X3622:c > d, X3623:c > d, X3624:c > d]:(((((((member_c_d_c_d_c_d @ (prod_p131511076_d_a_e @ i @ m) @ (pi_c_d_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z0:c > d]:(pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z1:c > d]:(carr_p1636662547_d_a_e @ i @ m))))))&(~(member_c_d @ X3618 @ (carr_p1636662547_d_a_e @ i @ m))|(~(member_c_d @ X3619 @ (carr_p1636662547_d_a_e @ i @ m))|(~(member_c_d @ X3620 @ (carr_p1636662547_d_a_e @ i @ m))|((prod_p131511076_d_a_e @ i @ m @ (prod_p131511076_d_a_e @ i @ m @ X3618 @ X3619) @ X3620)=(prod_p131511076_d_a_e @ i @ m @ X3618 @ (prod_p131511076_d_a_e @ i @ m @ X3619 @ X3620)))))))&(~(member_c_d @ X3621 @ (carr_p1636662547_d_a_e @ i @ m))|(~(member_c_d @ X3622 @ (carr_p1636662547_d_a_e @ i @ m))|((prod_p131511076_d_a_e @ i @ m @ X3621 @ X3622)=(prod_p131511076_d_a_e @ i @ m @ X3622 @ X3621)))))&(member_c_d_c_d @ (prod_m854557927_d_a_e @ i @ m) @ (pi_c_d_c_d @ (carr_p1636662547_d_a_e @ i @ m) @ (^[Z0:c > d]:(carr_p1636662547_d_a_e @ i @ m)))))&(~(member_c_d @ X3623 @ (carr_p1636662547_d_a_e @ i @ m))|((prod_p131511076_d_a_e @ i @ m @ (prod_m854557927_d_a_e @ i @ m @ X3623) @ X3623)=(prod_z1214987823_d_a_e @ i @ m))))&(~(member_c_d @ X3624 @ (carr_p1636662547_d_a_e @ i @ m))|((prod_p131511076_d_a_e @ i @ m @ (prod_z1214987823_d_a_e @ i @ m) @ X3624)=(X3624))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 0.40/0.60 thf(c_0_7, negated_conjecture, ((member_c_d @ esk132_0 @ (carr_d56066307_d_a_e @ i @ m))&((prod_p131511076_d_a_e @ i @ m @ esk132_0 @ (prod_z1214987823_d_a_e @ i @ m))!=(esk132_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 0.40/0.60 thf(c_0_8, hypothesis, ![X3:c > d]:((((prod_p131511076_d_a_e @ i @ m @ (prod_z1214987823_d_a_e @ i @ m) @ X3)=(X3))|~((member_c_d @ X3 @ (carr_p1636662547_d_a_e @ i @ m))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.40/0.60 thf(c_0_9, hypothesis, ![X3:c > d, X4:c > d]:((((prod_p131511076_d_a_e @ i @ m @ X3 @ X4)=(prod_p131511076_d_a_e @ i @ m @ X4 @ X3))|~((member_c_d @ X3 @ (carr_p1636662547_d_a_e @ i @ m)))|~((member_c_d @ X4 @ (carr_p1636662547_d_a_e @ i @ m))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.40/0.60 thf(c_0_10, negated_conjecture, ((prod_p131511076_d_a_e @ i @ m @ esk132_0 @ (prod_z1214987823_d_a_e @ i @ m))!=(esk132_0)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.40/0.60 thf(c_0_11, hypothesis, ![X3:c > d]:((((prod_p131511076_d_a_e @ i @ m @ X3 @ (prod_z1214987823_d_a_e @ i @ m))=(X3))|~((member_c_d @ (prod_z1214987823_d_a_e @ i @ m) @ (carr_p1636662547_d_a_e @ i @ m)))|~((member_c_d @ X3 @ (carr_p1636662547_d_a_e @ i @ m))))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.40/0.60 thf(c_0_12, plain, ![X2334:set_c, X2335:c > carrie1948989069_d_a_e, X2336:c > d]:((~(member_c_d @ X2336 @ (carr_d56066307_d_a_e @ X2334 @ X2335))|(member_c_d @ X2336 @ (carr_p1636662547_d_a_e @ X2334 @ X2335)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_carr__dsum__prod1])])). 0.40/0.60 thf(c_0_13, negated_conjecture, (~((member_c_d @ (prod_z1214987823_d_a_e @ i @ m) @ (carr_p1636662547_d_a_e @ i @ m)))|~((member_c_d @ esk132_0 @ (carr_p1636662547_d_a_e @ i @ m)))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.40/0.60 thf(c_0_14, plain, ![X1:set_c, X3:c > d, X2:c > carrie1948989069_d_a_e]:(((member_c_d @ X3 @ (carr_p1636662547_d_a_e @ X1 @ X2))|~((member_c_d @ X3 @ (carr_d56066307_d_a_e @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.40/0.60 thf(c_0_15, hypothesis, (member_c_d @ (prod_z1214987823_d_a_e @ i @ m) @ (carr_d56066307_d_a_e @ i @ m)), inference(split_conjunct,[status(thm)],[conj_5])). 0.40/0.60 thf(c_0_16, negated_conjecture, ~((member_c_d @ esk132_0 @ (carr_p1636662547_d_a_e @ i @ m))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])])). 0.40/0.60 thf(c_0_17, negated_conjecture, (member_c_d @ esk132_0 @ (carr_d56066307_d_a_e @ i @ m)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.40/0.60 thf(c_0_18, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_14]), c_0_17])]), ['proof']). 0.40/0.60 # SZS output end CNFRefutation 0.40/0.60 # Parsed axioms : 540 0.40/0.60 # Removed by relevancy pruning/SinE : 0 0.40/0.60 # Initial clauses : 805 0.40/0.60 # Removed in clause preprocessing : 246 0.40/0.60 # Initial clauses in saturation : 559 0.40/0.60 # Processed clauses : 888 0.40/0.60 # ...of these trivial : 7 0.40/0.60 # ...subsumed : 46 0.40/0.60 # ...remaining for further processing : 835 0.40/0.60 # Other redundant clauses eliminated : 4 0.40/0.60 # Clauses deleted for lack of memory : 0 0.40/0.60 # Backward-subsumed : 2 0.40/0.60 # Backward-rewritten : 0 0.40/0.60 # Generated clauses : 373 0.40/0.60 # ...of the previous two non-redundant : 327 0.40/0.60 # ...aggressively subsumed : 0 0.40/0.60 # Contextual simplify-reflections : 1 0.40/0.60 # Paramodulations : 357 0.40/0.60 # Factorizations : 0 0.40/0.60 # NegExts : 1 0.40/0.60 # Equation resolutions : 4 0.40/0.60 # Propositional unsat checks : 0 0.40/0.60 # Propositional check models : 0 0.40/0.60 # Propositional check unsatisfiable : 0 0.40/0.60 # Propositional clauses : 0 0.40/0.60 # Propositional clauses after purity: 0 0.40/0.60 # Propositional unsat core size : 0 0.40/0.60 # Propositional preprocessing time : 0.000 0.40/0.60 # Propositional encoding time : 0.000 0.40/0.60 # Propositional solver time : 0.000 0.40/0.60 # Success case prop preproc time : 0.000 0.40/0.60 # Success case prop encoding time : 0.000 0.40/0.60 # Success case prop solver time : 0.000 0.40/0.60 # Current number of processed clauses : 302 0.40/0.60 # Positive orientable unit clauses : 70 0.40/0.60 # Positive unorientable unit clauses: 4 0.40/0.60 # Negative unit clauses : 4 0.40/0.60 # Non-unit-clauses : 224 0.40/0.60 # Current number of unprocessed clauses: 523 0.40/0.60 # ...number of literals in the above : 1636 0.40/0.60 # Current number of archived formulas : 0 0.40/0.60 # Current number of archived clauses : 529 0.40/0.60 # Clause-clause subsumption calls (NU) : 72463 0.40/0.60 # Rec. Clause-clause subsumption calls : 43149 0.40/0.60 # Non-unit clause-clause subsumptions : 36 0.40/0.60 # Unit Clause-clause subsumption calls : 1514 0.40/0.60 # Rewrite failures with RHS unbound : 0 0.40/0.60 # BW rewrite match attempts : 28 0.40/0.60 # BW rewrite match successes : 4 0.40/0.60 # Condensation attempts : 888 0.40/0.60 # Condensation successes : 0 0.40/0.60 # Termbank termtop insertions : 80666 0.40/0.60 0.40/0.60 # ------------------------------------------------- 0.40/0.60 # User time : 0.156 s 0.40/0.60 # System time : 0.011 s 0.40/0.60 # Total time : 0.167 s 0.40/0.60 # Maximum resident set size: 7336 pages 0.40/0.60 0.40/0.60 # ------------------------------------------------- 0.40/0.60 # User time : 0.175 s 0.40/0.60 # System time : 0.013 s 0.40/0.60 # Total time : 0.188 s 0.40/0.60 # Maximum resident set size: 3144 pages 0.40/0.60 EOF