0.10/0.26	% Problem    : SLH0197^1 : TPTP v8.2.0. Released v8.2.0.
0.10/0.27	% Command    : run_E %s %d THM
0.27/0.47	% Computer : n006.cluster.edu
0.27/0.47	% Model    : x86_64 x86_64
0.27/0.47	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.27/0.47	% Memory   : 8042.1875MB
0.27/0.47	% OS       : Linux 3.10.0-693.el7.x86_64
0.27/0.47	% CPULimit   : 30
0.27/0.47	% WCLimit    : 30
0.27/0.47	% DateTime   : Mon Jul  3 08:14:21 EDT 2023
0.27/0.47	% CPUTime    : 
0.37/0.58	The problem SPC is TH0_THM_EQU_NAR
0.37/0.58	Running higher-order on 1 cores theorem proving
0.37/0.59	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox/tmp/tmp.GG6LfjxUSn/Vampire---4.8_7033
0.37/0.59	# Version: 3.0pre003-ho
0.42/1.06	# partial match(1): HSLMSMSMSSSNHFA
0.42/1.06	# Preprocessing class: HMLMSMSMSSSNHFA.
0.42/1.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.42/1.06	# Starting new_ho_10_cnf2 with 30s (1) cores
0.42/1.06	# new_ho_10_cnf2 with pid 7212 completed with status 0
0.42/1.06	# Result found by new_ho_10_cnf2
0.42/1.06	# partial match(1): HSLMSMSMSSSNHFA
0.42/1.06	# Preprocessing class: HMLMSMSMSSSNHFA.
0.42/1.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.42/1.06	# Starting new_ho_10_cnf2 with 30s (1) cores
0.42/1.06	# No SInE strategy applied
0.42/1.06	# Search class: HGHSM-SMLM31-MHFFFFBN
0.42/1.06	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.42/1.06	# Starting sh3 with 17s (1) cores
0.42/1.06	# sh3 with pid 7213 completed with status 0
0.42/1.06	# Result found by sh3
0.42/1.06	# partial match(1): HSLMSMSMSSSNHFA
0.42/1.06	# Preprocessing class: HMLMSMSMSSSNHFA.
0.42/1.06	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.42/1.06	# Starting new_ho_10_cnf2 with 30s (1) cores
0.42/1.06	# No SInE strategy applied
0.42/1.06	# Search class: HGHSM-SMLM31-MHFFFFBN
0.42/1.06	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.42/1.06	# Starting sh3 with 17s (1) cores
0.42/1.06	# Preprocessing time       : 0.027 s
0.42/1.06	# Presaturation interreduction done
0.42/1.06	
0.42/1.06	# Proof found!
0.42/1.06	# SZS status Theorem
0.42/1.06	# SZS output start CNFRefutation
0.42/1.06	thf(decl_22, type, invers3071014334073179505ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_23, type, finite8272632373135393572ring_a: int > finite_mod_ring_a).
0.42/1.06	thf(decl_24, type, finite1095367895020317408ring_a: finite_mod_ring_a > int).
0.42/1.06	thf(decl_25, type, abs_abs_int: int > int).
0.42/1.06	thf(decl_26, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_27, type, minus_minus_int: int > int > int).
0.42/1.06	thf(decl_28, type, minus_minus_nat: nat > nat > nat).
0.42/1.06	thf(decl_29, type, minus_minus_poly_int: poly_int > poly_int > poly_int).
0.42/1.06	thf(decl_30, type, monoid6582157856408436550ring_a: (finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a) > finite_mod_ring_a > $o).
0.42/1.06	thf(decl_31, type, monoid_int: (int > int > int) > int > $o).
0.42/1.06	thf(decl_32, type, monoid_nat: (nat > nat > nat) > nat > $o).
0.42/1.06	thf(decl_33, type, one_on2109788427901206336ring_a: finite_mod_ring_a).
0.42/1.06	thf(decl_34, type, one_one_int: int).
0.42/1.06	thf(decl_35, type, one_one_nat: nat).
0.42/1.06	thf(decl_36, type, one_one_poly_int: poly_int).
0.42/1.06	thf(decl_37, type, one_one_poly_nat: poly_nat).
0.42/1.06	thf(decl_38, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_39, type, plus_plus_int: int > int > int).
0.42/1.06	thf(decl_40, type, plus_plus_nat: nat > nat > nat).
0.42/1.06	thf(decl_41, type, plus_p7290290253215468682ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_42, type, plus_plus_poly_int: poly_int > poly_int > poly_int).
0.42/1.06	thf(decl_43, type, plus_plus_poly_nat: poly_nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_44, type, plus_p4175760545448422853ly_int: poly_poly_int > poly_poly_int > poly_poly_int).
0.42/1.06	thf(decl_45, type, plus_p6665843690380149609ly_nat: poly_poly_nat > poly_poly_nat > poly_poly_nat).
0.42/1.06	thf(decl_46, type, semigr1964680607741073555ring_a: (finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a) > $o).
0.42/1.06	thf(decl_47, type, semigroup_int: (int > int > int) > $o).
0.42/1.06	thf(decl_48, type, semigroup_nat: (nat > nat > nat) > $o).
0.42/1.06	thf(decl_49, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_50, type, times_times_int: int > int > int).
0.42/1.06	thf(decl_51, type, times_times_nat: nat > nat > nat).
0.42/1.06	thf(decl_52, type, times_3242606764180207630ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_53, type, times_times_poly_int: poly_int > poly_int > poly_int).
0.42/1.06	thf(decl_54, type, times_times_poly_nat: poly_nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_55, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_56, type, uminus_uminus_int: int > int).
0.42/1.06	thf(decl_57, type, uminus6443632714710767741ly_int: poly_int > poly_int).
0.42/1.06	thf(decl_58, type, zero_z7902377541816115708ring_a: finite_mod_ring_a).
0.42/1.06	thf(decl_59, type, zero_zero_int: int).
0.42/1.06	thf(decl_60, type, zero_zero_nat: nat).
0.42/1.06	thf(decl_61, type, zero_z1830546546923837194ring_a: poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_62, type, zero_zero_poly_int: poly_int).
0.42/1.06	thf(decl_63, type, zero_zero_poly_nat: poly_nat).
0.42/1.06	thf(decl_64, type, zero_z799223564134138693ly_int: poly_poly_int).
0.42/1.06	thf(decl_65, type, zero_z3289306709065865449ly_nat: poly_poly_nat).
0.42/1.06	thf(decl_66, type, if_int: $o > int > int > int).
0.42/1.06	thf(decl_67, type, if_nat: $o > nat > nat > nat).
0.42/1.06	thf(decl_68, type, ring_14874447038218431094ring_a: set_Fi2982333969990053029ring_a).
0.42/1.06	thf(decl_69, type, ring_1_Ints_int: set_int).
0.42/1.06	thf(decl_70, type, ring_18169885480643366966ring_a: int > finite_mod_ring_a).
0.42/1.06	thf(decl_71, type, ring_1_of_int_int: int > int).
0.42/1.06	thf(decl_72, type, ring_17789415346451966276ring_a: int > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_73, type, ring_17892525584911698563ly_int: int > poly_int).
0.42/1.06	thf(decl_74, type, ring_14695796289142966411ly_int: int > poly_poly_int).
0.42/1.06	thf(decl_75, type, suc: nat > nat).
0.42/1.06	thf(decl_76, type, neg_nu8930269994625468598ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_77, type, neg_numeral_dbl_int: int > int).
0.42/1.06	thf(decl_78, type, neg_nu2402578231030473156ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_79, type, neg_nu8546253235787985411ly_int: poly_int > poly_int).
0.42/1.06	thf(decl_80, type, neg_nu736348520214081547ly_int: poly_poly_int > poly_poly_int).
0.42/1.06	thf(decl_81, type, neg_nu1316170312413174064ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_82, type, neg_nu3811975205180677377ec_int: int > int).
0.42/1.06	thf(decl_83, type, neg_nu5901776551076858996ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_84, type, neg_nu5851722552734809277nc_int: int > int).
0.42/1.06	thf(decl_85, type, ord_less_int: int > int > $o).
0.42/1.06	thf(decl_86, type, ord_less_nat: nat > nat > $o).
0.42/1.06	thf(decl_87, type, ord_less_eq_int: int > int > $o).
0.42/1.06	thf(decl_88, type, ord_less_eq_nat: nat > nat > $o).
0.42/1.06	thf(decl_89, type, degree_int: poly_int > nat).
0.42/1.06	thf(decl_90, type, degree_nat: poly_nat > nat).
0.42/1.06	thf(decl_91, type, degree_poly_int: poly_poly_int > nat).
0.42/1.06	thf(decl_92, type, degree_poly_nat: poly_poly_nat > nat).
0.42/1.06	thf(decl_93, type, map_po3939831496780914792ring_a: (finite_mod_ring_a > finite_mod_ring_a) > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_94, type, map_po8658713431717511113_a_int: (finite_mod_ring_a > int) > poly_F3299452240248304339ring_a > poly_int).
0.42/1.06	thf(decl_95, type, map_po8661203902226561389_a_nat: (finite_mod_ring_a > nat) > poly_F3299452240248304339ring_a > poly_nat).
0.42/1.06	thf(decl_96, type, map_po1011533387650655343ring_a: (int > finite_mod_ring_a) > poly_int > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_97, type, map_poly_int_int: (int > int) > poly_int > poly_int).
0.42/1.06	thf(decl_98, type, map_poly_int_nat: (int > nat) > poly_int > poly_nat).
0.42/1.06	thf(decl_99, type, map_po6400666323621404619ring_a: (nat > finite_mod_ring_a) > poly_nat > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_100, type, map_poly_nat_int: (nat > int) > poly_nat > poly_int).
0.42/1.06	thf(decl_101, type, map_poly_nat_nat: (nat > nat) > poly_nat > poly_nat).
0.42/1.06	thf(decl_102, type, map_po136720853902459666ly_int: (poly_int > poly_int) > poly_poly_int > poly_poly_int).
0.42/1.06	thf(decl_103, type, map_po363127244995947098ly_nat: (poly_nat > poly_nat) > poly_poly_nat > poly_poly_nat).
0.42/1.06	thf(decl_104, type, monom_8879022055327937434ring_a: finite_mod_ring_a > nat > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_105, type, monom_int: int > nat > poly_int).
0.42/1.06	thf(decl_106, type, monom_nat: nat > nat > poly_nat).
0.42/1.06	thf(decl_107, type, monom_poly_int: poly_int > nat > poly_poly_int).
0.42/1.06	thf(decl_108, type, monom_poly_nat: poly_nat > nat > poly_poly_nat).
0.42/1.06	thf(decl_109, type, order_int: int > poly_int > nat).
0.42/1.06	thf(decl_110, type, pCons_8126420817181983459ring_a: finite_mod_ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_111, type, pCons_int: int > poly_int > poly_int).
0.42/1.06	thf(decl_112, type, pCons_nat: nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_113, type, pcompo7038054897135175266ring_a: poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a).
0.42/1.06	thf(decl_114, type, pcompose_int: poly_int > poly_int > poly_int).
0.42/1.06	thf(decl_115, type, pcompose_nat: poly_nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_116, type, pderiv_int: poly_int > poly_int).
0.42/1.06	thf(decl_117, type, pderiv_nat: poly_nat > poly_nat).
0.42/1.06	thf(decl_118, type, poly_F7883450919417191864ring_a: poly_F3299452240248304339ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_119, type, poly_int2: poly_int > int > int).
0.42/1.06	thf(decl_120, type, poly_nat2: poly_nat > nat > nat).
0.42/1.06	thf(decl_121, type, coeff_1607515655354303335ring_a: poly_F3299452240248304339ring_a > nat > finite_mod_ring_a).
0.42/1.06	thf(decl_122, type, coeff_int: poly_int > nat > int).
0.42/1.06	thf(decl_123, type, coeff_nat: poly_nat > nat > nat).
0.42/1.06	thf(decl_124, type, coeff_poly_int: poly_poly_int > nat > poly_int).
0.42/1.06	thf(decl_125, type, coeff_poly_nat: poly_poly_nat > nat > poly_nat).
0.42/1.06	thf(decl_126, type, poly_cutoff_int: nat > poly_int > poly_int).
0.42/1.06	thf(decl_127, type, poly_cutoff_nat: nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_128, type, reflect_poly_int: poly_int > poly_int).
0.42/1.06	thf(decl_129, type, reflect_poly_nat: poly_nat > poly_nat).
0.42/1.06	thf(decl_130, type, power_6826135765519566523ring_a: finite_mod_ring_a > nat > finite_mod_ring_a).
0.42/1.06	thf(decl_131, type, power_power_int: int > nat > int).
0.42/1.06	thf(decl_132, type, power_power_nat: nat > nat > nat).
0.42/1.06	thf(decl_133, type, power_power_poly_int: poly_int > nat > poly_int).
0.42/1.06	thf(decl_134, type, power_power_poly_nat: poly_nat > nat > poly_nat).
0.42/1.06	thf(decl_135, type, prelim7757304714281691100nary_a: itself_a > nat > nat > nat > $o).
0.42/1.06	thf(decl_136, type, type_a: itself_a).
0.42/1.06	thf(decl_137, type, ring_a7263061301096682083ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_138, type, ring_a6294922195722081013ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_139, type, ring_a6521328586815568445ly_nat: (poly_nat > poly_nat) > $o).
0.42/1.06	thf(decl_140, type, ring_c4670509140628503905ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_141, type, ring_c4896915531721991337ly_nat: (poly_nat > poly_nat) > $o).
0.42/1.06	thf(decl_142, type, ring_c1049078972110686252nt_int: (int > int) > $o).
0.42/1.06	thf(decl_143, type, ring_c1051569442619736528nt_nat: (int > nat) > $o).
0.42/1.06	thf(decl_144, type, ring_c49725260209631696at_int: (nat > int) > $o).
0.42/1.06	thf(decl_145, type, ring_c52215730718681972at_nat: (nat > nat) > $o).
0.42/1.06	thf(decl_146, type, ring_i3977571529217820498ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_147, type, ring_i591242452198040595ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_148, type, ring_i3383632282292134125ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_149, type, ring_i3610038673385621557ly_nat: (poly_nat > poly_nat) > $o).
0.42/1.06	thf(decl_150, type, ring_m8749930251974001965ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_151, type, ring_m8976336643067489397ly_nat: (poly_nat > poly_nat) > $o).
0.42/1.06	thf(decl_152, type, ring_t2712562035446653732nt_int: (int > int) > $o).
0.42/1.06	thf(decl_153, type, ring_t2715052505955704008nt_nat: (int > nat) > $o).
0.42/1.06	thf(decl_154, type, ring_t1713208323545599176at_int: (nat > int) > $o).
0.42/1.06	thf(decl_155, type, ring_t1715698794054649452at_nat: (nat > nat) > $o).
0.42/1.06	thf(decl_156, type, ring_z8984956310474038838nt_int: (int > int) > $o).
0.42/1.06	thf(decl_157, type, ring_z8987446780983089114nt_nat: (int > nat) > $o).
0.42/1.06	thf(decl_158, type, ring_z7985602598572984282at_int: (nat > int) > $o).
0.42/1.06	thf(decl_159, type, ring_z7988093069082034558at_nat: (nat > nat) > $o).
0.42/1.06	thf(decl_160, type, ring_z3158899856771971142ly_int: (poly_int > poly_int) > $o).
0.42/1.06	thf(decl_161, type, ring_z3385306247865458574ly_nat: (poly_nat > poly_nat) > $o).
0.42/1.06	thf(decl_162, type, ring_H1450423284053936345ring_a: (int > finite_mod_ring_a) > poly_int > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_163, type, ring_H3674757673394811928nt_int: (int > int) > poly_int > int > int).
0.42/1.06	thf(decl_164, type, dvd_dv7258769340395861407ring_a: finite_mod_ring_a > finite_mod_ring_a > $o).
0.42/1.06	thf(decl_165, type, dvd_dvd_int: int > int > $o).
0.42/1.06	thf(decl_166, type, dvd_dvd_nat: nat > nat > $o).
0.42/1.06	thf(decl_167, type, dvd_dvd_poly_int: poly_int > poly_int > $o).
0.42/1.06	thf(decl_168, type, dvd_dvd_poly_nat: poly_nat > poly_nat > $o).
0.42/1.06	thf(decl_169, type, member3034048621153491438ring_a: finite_mod_ring_a > set_Fi2982333969990053029ring_a > $o).
0.42/1.06	thf(decl_170, type, member_int: int > set_int > $o).
0.42/1.06	thf(decl_171, type, member_nat: nat > set_nat > $o).
0.42/1.06	thf(decl_172, type, k: nat).
0.42/1.06	thf(decl_173, type, n: nat).
0.42/1.06	thf(decl_174, type, p: nat).
0.42/1.06	thf(decl_175, type, x: int).
0.42/1.06	thf(decl_176, type, y: int).
0.42/1.06	thf(decl_177, type, esk1_1: (int > int) > int).
0.42/1.06	thf(decl_178, type, esk2_1: (nat > int) > nat).
0.42/1.06	thf(decl_179, type, esk3_1: (int > nat) > int).
0.42/1.06	thf(decl_180, type, esk4_1: (nat > nat) > nat).
0.42/1.06	thf(decl_181, type, esk5_1: (finite_mod_ring_a > finite_mod_ring_a) > finite_mod_ring_a).
0.42/1.06	thf(decl_182, type, esk6_1: (finite_mod_ring_a > finite_mod_ring_a) > finite_mod_ring_a).
0.42/1.06	thf(decl_183, type, esk7_1: (finite_mod_ring_a > int) > finite_mod_ring_a).
0.42/1.06	thf(decl_184, type, esk8_1: (finite_mod_ring_a > int) > finite_mod_ring_a).
0.42/1.06	thf(decl_185, type, esk9_1: (finite_mod_ring_a > nat) > finite_mod_ring_a).
0.42/1.06	thf(decl_186, type, esk10_1: (finite_mod_ring_a > nat) > finite_mod_ring_a).
0.42/1.06	thf(decl_187, type, esk11_1: (int > finite_mod_ring_a) > int).
0.42/1.06	thf(decl_188, type, esk12_1: (int > finite_mod_ring_a) > int).
0.42/1.06	thf(decl_189, type, esk13_1: (int > int) > int).
0.42/1.06	thf(decl_190, type, esk14_1: (int > int) > int).
0.42/1.06	thf(decl_191, type, esk15_1: (int > nat) > int).
0.42/1.06	thf(decl_192, type, esk16_1: (int > nat) > int).
0.42/1.06	thf(decl_193, type, esk17_1: (nat > finite_mod_ring_a) > nat).
0.42/1.06	thf(decl_194, type, esk18_1: (nat > finite_mod_ring_a) > nat).
0.42/1.06	thf(decl_195, type, esk19_1: (nat > int) > nat).
0.42/1.06	thf(decl_196, type, esk20_1: (nat > int) > nat).
0.42/1.06	thf(decl_197, type, esk21_1: (nat > nat) > nat).
0.42/1.06	thf(decl_198, type, esk22_1: (nat > nat) > nat).
0.42/1.06	thf(decl_199, type, esk23_1: poly_int > int).
0.42/1.06	thf(decl_200, type, esk24_1: (poly_int > $o) > int).
0.42/1.06	thf(decl_201, type, esk25_1: (poly_int > $o) > poly_int).
0.42/1.06	thf(decl_202, type, esk26_1: (poly_nat > $o) > nat).
0.42/1.06	thf(decl_203, type, esk27_1: (poly_nat > $o) > poly_nat).
0.42/1.06	thf(decl_204, type, esk28_1: (int > int) > int).
0.42/1.06	thf(decl_205, type, esk29_1: (int > nat) > int).
0.42/1.06	thf(decl_206, type, esk30_1: (nat > int) > nat).
0.42/1.06	thf(decl_207, type, esk31_1: (nat > nat) > nat).
0.42/1.06	thf(decl_208, type, esk32_1: poly_int > int).
0.42/1.06	thf(decl_209, type, esk33_1: poly_int > int).
0.42/1.06	thf(decl_210, type, esk34_1: poly_nat > nat).
0.42/1.06	thf(decl_211, type, esk35_1: poly_nat > nat).
0.42/1.06	thf(decl_212, type, esk36_2: poly_int > poly_int > int).
0.42/1.06	thf(decl_213, type, esk37_2: poly_int > poly_int > poly_int).
0.42/1.06	thf(decl_214, type, esk38_2: poly_nat > poly_nat > nat).
0.42/1.06	thf(decl_215, type, esk39_2: poly_nat > poly_nat > poly_nat).
0.42/1.06	thf(decl_216, type, esk40_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_217, type, esk41_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_218, type, esk42_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_219, type, esk43_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_220, type, esk44_2: set_Fi2982333969990053029ring_a > poly_F3299452240248304339ring_a > nat).
0.42/1.06	thf(decl_221, type, esk45_3: set_Fi2982333969990053029ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat).
0.42/1.06	thf(decl_222, type, esk46_1: set_int > int).
0.42/1.06	thf(decl_223, type, esk47_1: set_int > int).
0.42/1.06	thf(decl_224, type, esk48_1: set_int > int).
0.42/1.06	thf(decl_225, type, esk49_1: set_int > int).
0.42/1.06	thf(decl_226, type, esk50_2: set_int > poly_int > nat).
0.42/1.06	thf(decl_227, type, esk51_3: set_int > poly_int > poly_int > nat).
0.42/1.06	thf(decl_228, type, esk52_1: set_nat > nat).
0.42/1.06	thf(decl_229, type, esk53_1: set_nat > nat).
0.42/1.06	thf(decl_230, type, esk54_1: set_nat > nat).
0.42/1.06	thf(decl_231, type, esk55_1: set_nat > nat).
0.42/1.06	thf(decl_232, type, esk56_2: set_nat > poly_nat > nat).
0.42/1.06	thf(decl_233, type, esk57_3: set_nat > poly_nat > poly_nat > nat).
0.42/1.06	thf(decl_234, type, esk58_1: (int > int) > int).
0.42/1.06	thf(decl_235, type, esk59_1: (int > int) > int).
0.42/1.06	thf(decl_236, type, esk60_1: (int > nat) > int).
0.42/1.06	thf(decl_237, type, esk61_1: (int > nat) > int).
0.42/1.06	thf(decl_238, type, esk62_1: (nat > int) > nat).
0.42/1.06	thf(decl_239, type, esk63_1: (nat > int) > nat).
0.42/1.06	thf(decl_240, type, esk64_1: (nat > nat) > nat).
0.42/1.06	thf(decl_241, type, esk65_1: (nat > nat) > nat).
0.42/1.06	thf(decl_242, type, esk66_1: (int > int) > int).
0.42/1.06	thf(decl_243, type, esk67_1: (int > int) > int).
0.42/1.06	thf(decl_244, type, esk68_1: (int > nat) > int).
0.42/1.06	thf(decl_245, type, esk69_1: (int > nat) > int).
0.42/1.06	thf(decl_246, type, esk70_1: (nat > int) > nat).
0.42/1.06	thf(decl_247, type, esk71_1: (nat > int) > nat).
0.42/1.06	thf(decl_248, type, esk72_1: (nat > nat) > nat).
0.42/1.06	thf(decl_249, type, esk73_1: (nat > nat) > nat).
0.42/1.06	thf(decl_250, type, esk74_2: (poly_int > $o) > (int > $o) > poly_int).
0.42/1.06	thf(decl_251, type, esk75_2: (poly_int > $o) > (int > $o) > int).
0.42/1.06	thf(decl_252, type, esk76_2: (poly_int > $o) > (int > $o) > poly_int).
0.42/1.06	thf(decl_253, type, esk77_2: int > int > int).
0.42/1.06	thf(decl_254, type, esk78_2: nat > nat > nat).
0.42/1.06	thf(decl_255, type, esk79_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_256, type, esk80_2: (finite_mod_ring_a > $o) > finite_mod_ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_257, type, esk81_2: (int > $o) > int > int).
0.42/1.06	thf(decl_258, type, esk82_2: (int > $o) > int > int).
0.42/1.06	thf(decl_259, type, esk83_2: (nat > $o) > nat > nat).
0.42/1.06	thf(decl_260, type, esk84_2: (nat > $o) > nat > nat).
0.42/1.06	thf(decl_261, type, esk85_2: nat > nat > nat).
0.42/1.06	thf(decl_262, type, esk86_2: nat > nat > nat).
0.42/1.06	thf(decl_263, type, esk87_3: int > int > (int > $o) > int).
0.42/1.06	thf(decl_264, type, esk88_3: int > int > (int > $o) > int).
0.42/1.06	thf(decl_265, type, esk89_2: (int > $o) > int > int).
0.42/1.06	thf(decl_266, type, esk90_2: (int > $o) > int > int).
0.42/1.06	thf(decl_267, type, esk91_2: nat > nat > nat).
0.42/1.06	thf(decl_268, type, esk92_3: int > int > (int > $o) > int).
0.42/1.06	thf(decl_269, type, esk93_3: int > int > (int > $o) > int).
0.42/1.06	thf(decl_270, type, esk94_2: nat > poly_int > nat).
0.42/1.06	thf(decl_271, type, esk95_2: nat > poly_nat > nat).
0.42/1.06	thf(decl_272, type, esk96_2: int > (int > $o) > int).
0.42/1.06	thf(decl_273, type, esk97_2: int > (int > $o) > int).
0.42/1.06	thf(decl_274, type, esk98_4: int > (int > $o) > (int > $o) > int > int).
0.42/1.06	thf(decl_275, type, esk99_3: int > (int > $o) > (int > $o) > int).
0.42/1.06	thf(decl_276, type, esk100_2: int > (int > $o) > int).
0.42/1.06	thf(decl_277, type, esk101_2: int > (int > $o) > int).
0.42/1.06	thf(decl_278, type, esk102_4: int > (int > $o) > (int > $o) > int > int).
0.42/1.06	thf(decl_279, type, esk103_3: int > (int > $o) > (int > $o) > int).
0.42/1.06	thf(decl_280, type, esk104_2: nat > poly_int > nat).
0.42/1.06	thf(decl_281, type, esk105_2: nat > poly_nat > nat).
0.42/1.06	thf(decl_282, type, esk106_2: int > (int > $o) > int).
0.42/1.06	thf(decl_283, type, esk107_2: int > (int > $o) > int).
0.42/1.06	thf(decl_284, type, esk108_2: nat > poly_int > nat).
0.42/1.06	thf(decl_285, type, esk109_2: nat > poly_nat > nat).
0.42/1.06	thf(decl_286, type, esk110_2: nat > (nat > int) > nat).
0.42/1.06	thf(decl_287, type, esk111_3: nat > (nat > int) > int > nat).
0.42/1.06	thf(decl_288, type, esk112_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_289, type, esk113_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_290, type, esk114_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_291, type, esk115_1: set_Fi2982333969990053029ring_a > finite_mod_ring_a).
0.42/1.06	thf(decl_292, type, esk116_2: set_Fi2982333969990053029ring_a > poly_F3299452240248304339ring_a > nat).
0.42/1.06	thf(decl_293, type, esk117_3: set_Fi2982333969990053029ring_a > poly_F3299452240248304339ring_a > poly_F3299452240248304339ring_a > nat).
0.42/1.06	thf(decl_294, type, esk118_1: set_int > int).
0.42/1.06	thf(decl_295, type, esk119_1: set_int > int).
0.42/1.06	thf(decl_296, type, esk120_1: set_int > int).
0.42/1.06	thf(decl_297, type, esk121_1: set_int > int).
0.42/1.06	thf(decl_298, type, esk122_2: set_int > poly_int > nat).
0.42/1.06	thf(decl_299, type, esk123_3: set_int > poly_int > poly_int > nat).
0.42/1.06	thf(decl_300, type, esk124_1: set_nat > nat).
0.42/1.06	thf(decl_301, type, esk125_1: set_nat > nat).
0.42/1.06	thf(decl_302, type, esk126_1: set_nat > nat).
0.42/1.06	thf(decl_303, type, esk127_1: set_nat > nat).
0.42/1.06	thf(decl_304, type, esk128_2: set_nat > poly_nat > nat).
0.42/1.06	thf(decl_305, type, esk129_3: set_nat > poly_nat > poly_nat > nat).
0.42/1.06	thf(decl_306, type, esk130_2: nat > (nat > int) > nat).
0.42/1.06	thf(decl_307, type, esk131_3: nat > (nat > int) > int > nat).
0.42/1.06	thf(conj_0, conjecture, ((plus_p6165643967897163644ring_a @ (finite8272632373135393572ring_a @ x) @ (finite8272632373135393572ring_a @ y))=(finite8272632373135393572ring_a @ (plus_plus_int @ x @ y))), file('/export/starexec/sandbox/tmp/tmp.GG6LfjxUSn/Vampire---4.8_7033', conj_0)).
0.42/1.06	thf(fact_226_of__int__of__int__mod__ring, axiom, ((ring_18169885480643366966ring_a)=(finite8272632373135393572ring_a)), file('/export/starexec/sandbox/tmp/tmp.GG6LfjxUSn/Vampire---4.8_7033', fact_226_of__int__of__int__mod__ring)).
0.42/1.06	thf(fact_160_of__int__hom_Ohom__add, axiom, ![X362:int, X363:int]:(((ring_18169885480643366966ring_a @ (plus_plus_int @ X362 @ X363))=(plus_p6165643967897163644ring_a @ (ring_18169885480643366966ring_a @ X362) @ (ring_18169885480643366966ring_a @ X363)))), file('/export/starexec/sandbox/tmp/tmp.GG6LfjxUSn/Vampire---4.8_7033', fact_160_of__int__hom_Ohom__add)).
0.42/1.06	thf(c_0_3, negated_conjecture, ((plus_p6165643967897163644ring_a @ (finite8272632373135393572ring_a @ x) @ (finite8272632373135393572ring_a @ y))!=(finite8272632373135393572ring_a @ (plus_plus_int @ x @ y))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
0.42/1.06	thf(c_0_4, plain, ((ring_18169885480643366966ring_a)=(finite8272632373135393572ring_a)), inference(split_conjunct,[status(thm)],[fact_226_of__int__of__int__mod__ring])).
0.42/1.06	thf(c_0_5, negated_conjecture, ((plus_p6165643967897163644ring_a @ (finite8272632373135393572ring_a @ x) @ (finite8272632373135393572ring_a @ y))!=(finite8272632373135393572ring_a @ (plus_plus_int @ x @ y))), inference(split_conjunct,[status(thm)],[c_0_3])).
0.42/1.06	thf(c_0_6, plain, ![X19:int]:(((finite8272632373135393572ring_a @ X19)=(ring_18169885480643366966ring_a @ X19))), inference(arg_cong,[status(thm)],[c_0_4])).
0.42/1.06	thf(c_0_7, plain, ![X5708:int, X5709:int]:(((ring_18169885480643366966ring_a @ (plus_plus_int @ X5708 @ X5709))=(plus_p6165643967897163644ring_a @ (ring_18169885480643366966ring_a @ X5708) @ (ring_18169885480643366966ring_a @ X5709)))), inference(variable_rename,[status(thm)],[fact_160_of__int__hom_Ohom__add])).
0.42/1.06	thf(c_0_8, negated_conjecture, ((plus_p6165643967897163644ring_a @ (ring_18169885480643366966ring_a @ x) @ (ring_18169885480643366966ring_a @ y))!=(ring_18169885480643366966ring_a @ (plus_plus_int @ x @ y))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_6]), c_0_6]), c_0_6])).
0.42/1.06	thf(c_0_9, plain, ![X19:int, X20:int]:(((ring_18169885480643366966ring_a @ (plus_plus_int @ X19 @ X20))=(plus_p6165643967897163644ring_a @ (ring_18169885480643366966ring_a @ X19) @ (ring_18169885480643366966ring_a @ X20)))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.42/1.06	thf(c_0_10, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])]), ['proof']).
0.42/1.06	# SZS output end CNFRefutation
0.42/1.06	# Parsed axioms                        : 1450
0.42/1.06	# Removed by relevancy pruning/SinE    : 0
0.42/1.06	# Initial clauses                      : 2119
0.42/1.06	# Removed in clause preprocessing      : 273
0.42/1.06	# Initial clauses in saturation        : 1846
0.42/1.06	# Processed clauses                    : 2558
0.42/1.06	# ...of these trivial                  : 144
0.42/1.06	# ...subsumed                          : 454
0.42/1.06	# ...remaining for further processing  : 1960
0.42/1.06	# Other redundant clauses eliminated   : 280
0.42/1.06	# Clauses deleted for lack of memory   : 0
0.42/1.06	# Backward-subsumed                    : 19
0.42/1.06	# Backward-rewritten                   : 69
0.42/1.06	# Generated clauses                    : 1861
0.42/1.06	# ...of the previous two non-redundant : 1200
0.42/1.06	# ...aggressively subsumed             : 0
0.42/1.06	# Contextual simplify-reflections      : 2
0.42/1.06	# Paramodulations                      : 1570
0.42/1.06	# Factorizations                       : 0
0.42/1.06	# NegExts                              : 0
0.42/1.06	# Equation resolutions                 : 301
0.42/1.06	# Propositional unsat checks           : 0
0.42/1.06	#    Propositional check models        : 0
0.42/1.06	#    Propositional check unsatisfiable : 0
0.42/1.06	#    Propositional clauses             : 0
0.42/1.06	#    Propositional clauses after purity: 0
0.42/1.06	#    Propositional unsat core size     : 0
0.42/1.06	#    Propositional preprocessing time  : 0.000
0.42/1.06	#    Propositional encoding time       : 0.000
0.42/1.06	#    Propositional solver time         : 0.000
0.42/1.06	#    Success case prop preproc time    : 0.000
0.42/1.06	#    Success case prop encoding time   : 0.000
0.42/1.06	#    Success case prop solver time     : 0.000
0.42/1.06	# Current number of processed clauses  : 448
0.42/1.06	#    Positive orientable unit clauses  : 164
0.42/1.06	#    Positive unorientable unit clauses: 15
0.42/1.06	#    Negative unit clauses             : 33
0.42/1.06	#    Non-unit-clauses                  : 236
0.42/1.06	# Current number of unprocessed clauses: 1673
0.42/1.06	# ...number of literals in the above   : 3890
0.42/1.06	# Current number of archived formulas  : 0
0.42/1.06	# Current number of archived clauses   : 1273
0.42/1.06	# Clause-clause subsumption calls (NU) : 215085
0.42/1.06	# Rec. Clause-clause subsumption calls : 120833
0.42/1.06	# Non-unit clause-clause subsumptions  : 355
0.42/1.06	# Unit Clause-clause subsumption calls : 10888
0.42/1.06	# Rewrite failures with RHS unbound    : 12
0.42/1.06	# BW rewrite match attempts            : 624
0.42/1.06	# BW rewrite match successes           : 499
0.42/1.06	# Condensation attempts                : 0
0.42/1.06	# Condensation successes               : 0
0.42/1.06	# Termbank termtop insertions          : 152974
0.42/1.06	
0.42/1.06	# -------------------------------------------------
0.42/1.06	# User time                : 0.405 s
0.42/1.06	# System time              : 0.020 s
0.42/1.06	# Total time               : 0.425 s
0.42/1.06	# Maximum resident set size: 11236 pages
0.42/1.06	
0.42/1.06	# -------------------------------------------------
0.42/1.06	# User time                : 0.452 s
0.42/1.06	# System time              : 0.023 s
0.42/1.06	# Total time               : 0.475 s
0.42/1.06	# Maximum resident set size: 4512 pages
0.42/1.06	EOF