0.12/0.28	% Problem    : SLH0401^1 : TPTP v8.2.0. Released v8.2.0.
0.12/0.28	% Command    : run_E %s %d THM
0.28/0.50	% Computer : n011.cluster.edu
0.28/0.50	% Model    : x86_64 x86_64
0.28/0.50	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.28/0.50	% Memory   : 8042.1875MB
0.28/0.50	% OS       : Linux 3.10.0-693.el7.x86_64
0.28/0.50	% CPULimit   : 30
0.28/0.50	% WCLimit    : 30
0.28/0.50	% DateTime   : Mon Jul  3 09:20:39 EDT 2023
0.28/0.50	% CPUTime    : 
0.40/0.63	The problem SPC is TH0_THM_EQU_NAR
0.40/0.63	Running higher-order on 1 cores theorem proving
0.40/0.63	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.MZzu0RC26i/Vampire---4.8_2659
0.48/0.63	# Version: 3.0pre003-ho
0.48/1.01	# partial match(1): HSLSSMSMSSSNHFA
0.48/1.01	# Preprocessing class: HMLSSMSMSSSNHFA.
0.48/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.48/1.01	# Starting new_ho_10 with 30s (1) cores
0.48/1.01	# new_ho_10 with pid 3045 completed with status 0
0.48/1.01	# Result found by new_ho_10
0.48/1.01	# partial match(1): HSLSSMSMSSSNHFA
0.48/1.01	# Preprocessing class: HMLSSMSMSSSNHFA.
0.48/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.48/1.01	# Starting new_ho_10 with 30s (1) cores
0.48/1.01	# No SInE strategy applied
0.48/1.01	# Search class: HGHSM-SSLM31-DHFFFFBN
0.48/1.01	# partial match(1): HGHSM-FSLM31-DHFFFFBN
0.48/1.01	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.48/1.01	# Starting new_ho_10 with 7s (1) cores
0.48/1.01	# new_ho_10 with pid 3070 completed with status 0
0.48/1.01	# Result found by new_ho_10
0.48/1.01	# partial match(1): HSLSSMSMSSSNHFA
0.48/1.01	# Preprocessing class: HMLSSMSMSSSNHFA.
0.48/1.01	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.48/1.01	# Starting new_ho_10 with 30s (1) cores
0.48/1.01	# No SInE strategy applied
0.48/1.01	# Search class: HGHSM-SSLM31-DHFFFFBN
0.48/1.01	# partial match(1): HGHSM-FSLM31-DHFFFFBN
0.48/1.01	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.48/1.01	# Starting new_ho_10 with 7s (1) cores
0.48/1.01	# Preprocessing time       : 0.025 s
0.48/1.01	# Presaturation interreduction done
0.48/1.01	
0.48/1.01	# Proof found!
0.48/1.01	# SZS status Theorem
0.48/1.01	# SZS output start CNFRefutation
0.48/1.01	thf(decl_22, type, abs_ky5074908690697402296poly_a: int > kyber_qr_a > int).
0.48/1.01	thf(decl_23, type, minus_3609261664126569004ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.48/1.01	thf(decl_24, type, minus_minus_int: int > int > int).
0.48/1.01	thf(decl_25, type, minus_3375643675566563378r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_26, type, minus_minus_nat: nat > nat > nat).
0.48/1.01	thf(decl_27, type, minus_minus_real: real > real > real).
0.48/1.01	thf(decl_28, type, one_on2109788427901206336ring_a: finite_mod_ring_a).
0.48/1.01	thf(decl_29, type, one_one_int: int).
0.48/1.01	thf(decl_30, type, one_one_Kyber_qr_a: kyber_qr_a).
0.48/1.01	thf(decl_31, type, one_one_nat: nat).
0.48/1.01	thf(decl_32, type, one_one_real: real).
0.48/1.01	thf(decl_33, type, plus_p6165643967897163644ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.48/1.01	thf(decl_34, type, plus_plus_int: int > int > int).
0.48/1.01	thf(decl_35, type, plus_plus_Kyber_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_36, type, plus_plus_nat: nat > nat > nat).
0.48/1.01	thf(decl_37, type, plus_plus_num: num > num > num).
0.48/1.01	thf(decl_38, type, plus_plus_real: real > real > real).
0.48/1.01	thf(decl_39, type, times_5121417576591743744ring_a: finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.48/1.01	thf(decl_40, type, times_times_int: int > int > int).
0.48/1.01	thf(decl_41, type, times_2095635435063429214r_qr_a: kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_42, type, times_times_nat: nat > nat > nat).
0.48/1.01	thf(decl_43, type, times_times_num: num > num > num).
0.48/1.01	thf(decl_44, type, times_times_real: real > real > real).
0.48/1.01	thf(decl_45, type, uminus3100561713750211260ring_a: finite_mod_ring_a > finite_mod_ring_a).
0.48/1.01	thf(decl_46, type, uminus_uminus_int: int > int).
0.48/1.01	thf(decl_47, type, uminus3675112017196868514r_qr_a: kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_48, type, uminus_uminus_real: real > real).
0.48/1.01	thf(decl_49, type, zero_z7902377541816115708ring_a: finite_mod_ring_a).
0.48/1.01	thf(decl_50, type, zero_zero_int: int).
0.48/1.01	thf(decl_51, type, zero_zero_Kyber_qr_a: kyber_qr_a).
0.48/1.01	thf(decl_52, type, zero_zero_nat: nat).
0.48/1.01	thf(decl_53, type, zero_zero_real: real).
0.48/1.01	thf(decl_54, type, if_Finite_mod_ring_a: $o > finite_mod_ring_a > finite_mod_ring_a > finite_mod_ring_a).
0.48/1.01	thf(decl_55, type, if_int: $o > int > int > int).
0.48/1.01	thf(decl_56, type, if_Kyber_qr_a: $o > kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_57, type, if_nat: $o > nat > nat > nat).
0.48/1.01	thf(decl_58, type, if_real: $o > real > real > real).
0.48/1.01	thf(decl_59, type, nat2: int > nat).
0.48/1.01	thf(decl_60, type, ntt_a: nat > nat > nat > finite_mod_ring_a > finite_mod_ring_a > $o).
0.48/1.01	thf(decl_61, type, nTT_ky7844408764402957685conv_a: nat > kyber_qr_a > kyber_qr_a > kyber_qr_a).
0.48/1.01	thf(decl_62, type, semiri9180929696517417892ring_a: nat > finite_mod_ring_a).
0.48/1.01	thf(decl_63, type, semiri1314217659103216013at_int: nat > int).
0.48/1.01	thf(decl_64, type, semiri7313030098341262522r_qr_a: nat > kyber_qr_a).
0.48/1.01	thf(decl_65, type, semiri1316708129612266289at_nat: nat > nat).
0.48/1.01	thf(decl_66, type, semiri5074537144036343181t_real: nat > real).
0.48/1.01	thf(decl_67, type, bit0: num > num).
0.48/1.01	thf(decl_68, type, one: num).
0.48/1.01	thf(decl_69, type, numera7938180240421336042ring_a: num > finite_mod_ring_a).
0.48/1.01	thf(decl_70, type, numeral_numeral_int: num > int).
0.48/1.01	thf(decl_71, type, numera2156158589294619636r_qr_a: num > kyber_qr_a).
0.48/1.01	thf(decl_72, type, numeral_numeral_nat: num > nat).
0.48/1.01	thf(decl_73, type, numeral_numeral_real: num > real).
0.48/1.01	thf(decl_74, type, ord_less_int: int > int > $o).
0.48/1.01	thf(decl_75, type, ord_less_nat: nat > nat > $o).
0.48/1.01	thf(decl_76, type, ord_less_num: num > num > $o).
0.48/1.01	thf(decl_77, type, ord_less_real: real > real > $o).
0.48/1.01	thf(decl_78, type, ord_less_eq_int: int > int > $o).
0.48/1.01	thf(decl_79, type, ord_less_eq_nat: nat > nat > $o).
0.48/1.01	thf(decl_80, type, ord_less_eq_num: num > num > $o).
0.48/1.01	thf(decl_81, type, ord_less_eq_real: real > real > $o).
0.48/1.01	thf(decl_82, type, power_6826135765519566523ring_a: finite_mod_ring_a > nat > finite_mod_ring_a).
0.48/1.01	thf(decl_83, type, power_power_int: int > nat > int).
0.48/1.01	thf(decl_84, type, power_5122640293590465123r_qr_a: kyber_qr_a > nat > kyber_qr_a).
0.48/1.01	thf(decl_85, type, power_power_nat: nat > nat > nat).
0.48/1.01	thf(decl_86, type, power_power_real: real > nat > real).
0.48/1.01	thf(decl_87, type, preliminary_mu_a: nat > finite_mod_ring_a).
0.48/1.01	thf(decl_88, type, preliminary_omega_a: nat > finite_mod_ring_a).
0.48/1.01	thf(decl_89, type, collect_real: (real > $o) > set_real).
0.48/1.01	thf(decl_90, type, member_real: real > set_real > $o).
0.48/1.01	thf(decl_91, type, mu: finite_mod_ring_a).
0.48/1.01	thf(decl_92, type, omega: finite_mod_ring_a).
0.48/1.01	thf(decl_93, type, psi: finite_mod_ring_a).
0.48/1.01	thf(decl_94, type, psi_inv: finite_mod_ring_a).
0.48/1.01	thf(decl_95, type, i: nat).
0.48/1.01	thf(decl_96, type, j: nat).
0.48/1.01	thf(decl_97, type, l: nat).
0.48/1.01	thf(decl_98, type, mult_factor: int).
0.48/1.01	thf(decl_99, type, n: nat).
0.48/1.01	thf(decl_100, type, n2: nat).
0.48/1.01	thf(decl_101, type, q: int).
0.48/1.01	thf(decl_102, type, esk1_2: (nat > $o) > nat > nat).
0.48/1.01	thf(decl_103, type, esk2_1: (nat > $o) > nat).
0.48/1.01	thf(decl_104, type, esk3_2: nat > nat > nat).
0.48/1.01	thf(decl_105, type, esk4_2: nat > nat > nat).
0.48/1.01	thf(decl_106, type, esk5_1: (nat > nat) > nat).
0.48/1.01	thf(decl_107, type, esk6_1: (nat > nat) > nat).
0.48/1.01	thf(decl_108, type, esk7_2: (nat > $o) > nat > nat).
0.48/1.01	thf(decl_109, type, esk8_2: nat > nat > nat).
0.48/1.01	thf(decl_110, type, esk9_2: nat > nat > nat).
0.48/1.01	thf(decl_111, type, esk10_1: (nat > nat) > nat).
0.48/1.01	thf(decl_112, type, esk11_1: (nat > nat) > nat).
0.48/1.01	thf(decl_113, type, esk12_1: (nat > $o) > nat).
0.48/1.01	thf(decl_114, type, esk13_1: (nat > $o) > nat).
0.48/1.01	thf(decl_115, type, esk14_1: (nat > $o) > nat).
0.48/1.01	thf(decl_116, type, esk15_2: nat > nat > nat).
0.48/1.01	thf(decl_117, type, esk16_3: (nat > $o) > nat > nat > nat).
0.48/1.01	thf(decl_118, type, esk17_3: (nat > $o) > nat > nat > nat).
0.48/1.01	thf(decl_119, type, esk18_2: nat > nat > nat).
0.48/1.01	thf(decl_120, type, esk19_2: nat > nat > nat).
0.48/1.01	thf(decl_121, type, esk20_2: nat > real > real).
0.48/1.01	thf(decl_122, type, esk21_2: nat > real > real).
0.48/1.01	thf(decl_123, type, esk22_1: int > nat).
0.48/1.01	thf(decl_124, type, esk23_1: int > nat).
0.48/1.01	thf(decl_125, type, esk24_1: int > nat).
0.48/1.01	thf(decl_126, type, esk25_1: int > nat).
0.48/1.01	thf(decl_127, type, esk26_1: int > nat).
0.48/1.01	thf(decl_128, type, esk27_1: int > nat).
0.48/1.01	thf(decl_129, type, esk28_1: int > nat).
0.48/1.01	thf(decl_130, type, esk29_1: int > nat).
0.48/1.01	thf(decl_131, type, esk30_1: int > nat).
0.48/1.01	thf(decl_132, type, esk31_2: int > int > nat).
0.48/1.01	thf(decl_133, type, esk32_3: int > int > (int > $o) > int).
0.48/1.01	thf(decl_134, type, esk33_3: int > int > (int > $o) > int).
0.48/1.01	thf(decl_135, type, esk34_3: int > int > (int > $o) > int).
0.48/1.01	thf(decl_136, type, esk35_3: int > int > (int > $o) > int).
0.48/1.01	thf(decl_137, type, esk36_1: int > nat).
0.48/1.01	thf(decl_138, type, esk37_1: int > nat).
0.48/1.01	thf(decl_139, type, esk38_2: (int > $o) > int > int).
0.48/1.01	thf(decl_140, type, esk39_2: (int > $o) > int > int).
0.48/1.01	thf(decl_141, type, esk40_1: int > nat).
0.48/1.01	thf(decl_142, type, esk41_1: int > nat).
0.48/1.01	thf(decl_143, type, esk42_1: int > nat).
0.48/1.01	thf(decl_144, type, esk43_2: set_real > real > real).
0.48/1.01	thf(decl_145, type, esk44_1: set_real > real).
0.48/1.01	thf(decl_146, type, esk45_2: set_real > real > real).
0.48/1.01	thf(decl_147, type, esk46_2: real > real > nat).
0.48/1.01	thf(decl_148, type, esk47_2: real > real > nat).
0.48/1.01	thf(decl_149, type, esk48_2: real > real > nat).
0.48/1.01	thf(decl_150, type, esk49_2: real > real > nat).
0.48/1.01	thf(decl_151, type, esk50_1: (int > $o) > int).
0.48/1.01	thf(decl_152, type, esk51_1: (int > $o) > int).
0.48/1.01	thf(decl_153, type, esk52_3: real > real > (real > real > $o) > real).
0.48/1.01	thf(decl_154, type, esk53_3: real > real > (real > real > $o) > real).
0.48/1.01	thf(decl_155, type, esk54_3: real > real > (real > real > $o) > real).
0.48/1.01	thf(decl_156, type, esk55_3: real > real > (real > real > $o) > real).
0.48/1.01	thf(decl_157, type, esk56_4: real > real > (real > real > $o) > real > real).
0.48/1.01	thf(decl_158, type, esk57_4: real > real > (real > real > $o) > real > real).
0.48/1.01	thf(decl_159, type, esk58_2: int > (int > $o) > int).
0.48/1.01	thf(decl_160, type, esk59_2: int > (int > $o) > int).
0.48/1.01	thf(decl_161, type, esk60_4: int > (int > $o) > (int > $o) > int > int).
0.48/1.01	thf(decl_162, type, esk61_3: int > (int > $o) > (int > $o) > int).
0.48/1.01	thf(decl_163, type, esk62_2: int > (int > $o) > int).
0.48/1.01	thf(decl_164, type, esk63_2: int > (int > $o) > int).
0.48/1.01	thf(decl_165, type, esk64_4: int > (int > $o) > (int > $o) > int > int).
0.48/1.01	thf(decl_166, type, esk65_3: int > (int > $o) > (int > $o) > int).
0.48/1.01	thf(decl_167, type, esk66_2: int > (int > $o) > int).
0.48/1.01	thf(decl_168, type, esk67_2: int > (int > $o) > int).
0.48/1.01	thf(decl_169, type, esk68_1: (nat > $o) > nat).
0.48/1.01	thf(decl_170, type, esk69_0: finite_mod_ring_a).
0.48/1.01	thf(decl_171, type, esk70_0: finite_mod_ring_a).
0.48/1.01	thf(decl_172, type, esk71_1: (nat > $o) > int).
0.48/1.01	thf(decl_173, type, esk72_1: (nat > $o) > nat).
0.48/1.01	thf(decl_174, type, esk73_1: (nat > $o) > nat).
0.48/1.01	thf(decl_175, type, esk74_1: (nat > $o) > int).
0.48/1.01	thf(decl_176, type, esk75_2: (nat > $o) > int > nat).
0.48/1.01	thf(decl_177, type, esk76_3: nat > (nat > real) > (nat > real) > nat).
0.48/1.01	thf(decl_178, type, esk77_3: nat > (nat > real) > (nat > real) > nat).
0.48/1.01	thf(decl_179, type, esk78_2: (nat > $o) > nat > nat).
0.48/1.01	thf(decl_180, type, esk79_1: (nat > $o) > nat).
0.48/1.01	thf(decl_181, type, esk80_2: (real > $o) > real > real).
0.48/1.01	thf(decl_182, type, esk81_1: (real > $o) > real).
0.48/1.01	thf(decl_183, type, esk82_2: (real > $o) > real > real).
0.48/1.01	thf(decl_184, type, epred1_1: set_real > real > $o).
0.48/1.01	thf(conj_0, conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ ((ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)) @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))), file('/export/starexec/sandbox/tmp/tmp.MZzu0RC26i/Vampire---4.8_2659', conj_0)).
0.48/1.01	thf(fact_2_False, axiom, ~((ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)), file('/export/starexec/sandbox/tmp/tmp.MZzu0RC26i/Vampire---4.8_2659', fact_2_False)).
0.48/1.01	thf(help_If_2_1_If_001t__Finite____Field__Omod____ring_Itf__a_J_T, axiom, ![X1626:finite_mod_ring_a, X1627:finite_mod_ring_a]:(((if_Finite_mod_ring_a @ (~($true)) @ X1626 @ X1627)=(X1627))), file('/export/starexec/sandbox/tmp/tmp.MZzu0RC26i/Vampire---4.8_2659', help_If_2_1_If_001t__Finite____Field__Omod____ring_Itf__a_J_T)).
0.48/1.01	thf(fact_606_mult__1, axiom, ![X6:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ one_on2109788427901206336ring_a @ X6)=(X6))), file('/export/starexec/sandbox/tmp/tmp.MZzu0RC26i/Vampire---4.8_2659', fact_606_mult__1)).
0.48/1.01	thf(c_0_4, negated_conjecture, ~(((~(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)|((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $true @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))))&((ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)|((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $false @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))))))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
0.48/1.01	thf(c_0_5, negated_conjecture, (((~(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)|(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int))&(((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $false @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))))|(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)))&((~(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)|((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $true @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))))&(((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $false @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))))|((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ $true @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])).
0.48/1.01	thf(c_0_6, plain, ~(ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int), inference(fof_simplification,[status(thm)],[fact_2_False])).
0.48/1.01	thf(c_0_7, plain, ![X6507:finite_mod_ring_a, X6508:finite_mod_ring_a]:(((if_Finite_mod_ring_a @ (~($true)) @ X6507 @ X6508)=(X6508))), inference(variable_rename,[status(thm)],[help_If_2_1_If_001t__Finite____Field__Omod____ring_Itf__a_J_T])).
0.48/1.01	thf(c_0_8, negated_conjecture, ((ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)|((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ (~($true)) @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))))), inference(split_conjunct,[status(thm)],[c_0_5])).
0.48/1.01	thf(c_0_9, plain, ~((ord_less_int @ (minus_minus_int @ (semiri1314217659103216013at_int @ j) @ (semiri1314217659103216013at_int @ i)) @ zero_zero_int)), inference(split_conjunct,[status(thm)],[c_0_6])).
0.48/1.01	thf(c_0_10, plain, ![X1:finite_mod_ring_a, X2:finite_mod_ring_a]:(((if_Finite_mod_ring_a @ (((($true))!=(($true)))) @ X1 @ X2)=(X2))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.48/1.01	thf(c_0_11, plain, ![X5027:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ one_on2109788427901206336ring_a @ X5027)=(X5027))), inference(variable_rename,[status(thm)],[fact_606_mult__1])).
0.48/1.01	thf(c_0_12, negated_conjecture, ((times_5121417576591743744ring_a @ (times_5121417576591743744ring_a @ (if_Finite_mod_ring_a @ (~($true)) @ (uminus3100561713750211260ring_a @ one_on2109788427901206336ring_a) @ one_on2109788427901206336ring_a) @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat)))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))!=(times_5121417576591743744ring_a @ (power_6826135765519566523ring_a @ psi_inv @ (times_times_nat @ i @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))) @ (power_6826135765519566523ring_a @ psi @ (times_times_nat @ j @ (plus_plus_nat @ (times_times_nat @ (numeral_numeral_nat @ (bit0 @ one)) @ l) @ one_one_nat))))), inference(sr,[status(thm)],[c_0_8, c_0_9])).
0.48/1.01	thf(c_0_13, plain, ![X1:finite_mod_ring_a, X2:finite_mod_ring_a]:(((if_Finite_mod_ring_a @ (~($true)) @ X1 @ X2)=(X2))), inference(cn,[status(thm)],[c_0_10])).
0.48/1.01	thf(c_0_14, plain, ![X1:finite_mod_ring_a]:(((times_5121417576591743744ring_a @ one_on2109788427901206336ring_a @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.48/1.01	thf(c_0_15, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13]), c_0_14])]), ['proof']).
0.48/1.01	# SZS output end CNFRefutation
0.48/1.01	# Parsed axioms                        : 1363
0.48/1.01	# Removed by relevancy pruning/SinE    : 0
0.48/1.01	# Initial clauses                      : 1990
0.48/1.01	# Removed in clause preprocessing      : 152
0.48/1.01	# Initial clauses in saturation        : 1838
0.48/1.01	# Processed clauses                    : 2163
0.48/1.01	# ...of these trivial                  : 109
0.48/1.01	# ...subsumed                          : 285
0.48/1.01	# ...remaining for further processing  : 1768
0.48/1.01	# Other redundant clauses eliminated   : 211
0.48/1.01	# Clauses deleted for lack of memory   : 0
0.48/1.01	# Backward-subsumed                    : 11
0.48/1.01	# Backward-rewritten                   : 102
0.48/1.01	# Generated clauses                    : 342
0.48/1.01	# ...of the previous two non-redundant : 207
0.48/1.01	# ...aggressively subsumed             : 0
0.48/1.01	# Contextual simplify-reflections      : 4
0.48/1.01	# Paramodulations                      : 145
0.48/1.01	# Factorizations                       : 0
0.48/1.01	# NegExts                              : 0
0.48/1.01	# Equation resolutions                 : 216
0.48/1.01	# Propositional unsat checks           : 0
0.48/1.01	#    Propositional check models        : 0
0.48/1.01	#    Propositional check unsatisfiable : 0
0.48/1.01	#    Propositional clauses             : 0
0.48/1.01	#    Propositional clauses after purity: 0
0.48/1.01	#    Propositional unsat core size     : 0
0.48/1.01	#    Propositional preprocessing time  : 0.000
0.48/1.01	#    Propositional encoding time       : 0.000
0.48/1.01	#    Propositional solver time         : 0.000
0.48/1.01	#    Success case prop preproc time    : 0.000
0.48/1.01	#    Success case prop encoding time   : 0.000
0.48/1.01	#    Success case prop solver time     : 0.000
0.48/1.01	# Current number of processed clauses  : 195
0.48/1.01	#    Positive orientable unit clauses  : 103
0.48/1.01	#    Positive unorientable unit clauses: 0
0.48/1.01	#    Negative unit clauses             : 61
0.48/1.01	#    Non-unit-clauses                  : 31
0.48/1.01	# Current number of unprocessed clauses: 1159
0.48/1.01	# ...number of literals in the above   : 2456
0.48/1.01	# Current number of archived formulas  : 0
0.48/1.01	# Current number of archived clauses   : 1390
0.48/1.01	# Clause-clause subsumption calls (NU) : 121283
0.48/1.01	# Rec. Clause-clause subsumption calls : 62574
0.48/1.01	# Non-unit clause-clause subsumptions  : 230
0.48/1.01	# Unit Clause-clause subsumption calls : 31096
0.48/1.01	# Rewrite failures with RHS unbound    : 0
0.48/1.01	# BW rewrite match attempts            : 481
0.48/1.01	# BW rewrite match successes           : 197
0.48/1.01	# Condensation attempts                : 2164
0.48/1.01	# Condensation successes               : 2
0.48/1.01	# Termbank termtop insertions          : 138614
0.48/1.01	
0.48/1.01	# -------------------------------------------------
0.48/1.01	# User time                : 0.303 s
0.48/1.01	# System time              : 0.032 s
0.48/1.01	# Total time               : 0.335 s
0.48/1.01	# Maximum resident set size: 9656 pages
0.48/1.01	
0.48/1.01	# -------------------------------------------------
0.48/1.01	# User time                : 0.342 s
0.48/1.01	# System time              : 0.041 s
0.48/1.01	# Total time               : 0.384 s
0.48/1.01	# Maximum resident set size: 4036 pages
0.48/1.02	EOF