TSTP Solution File: LCL837-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:40:34 EDT 2022
% Result : Unknown 154.06s 154.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 2 11:52:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running in mono-core mode
% 0.20/0.49 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.49 % Orientation found
% 0.20/0.49 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1ac6a5.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_74f804.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_88976b | grep -v "SZS"
% 0.20/0.51
% 0.20/0.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ iProver source info
% 0.20/0.51
% 0.20/0.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51 % git: non_committed_changes: true
% 0.20/0.51 % git: last_make_outside_of_git: true
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ Input Options
% 0.20/0.51
% 0.20/0.51 % --out_options all
% 0.20/0.51 % --tptp_safe_out true
% 0.20/0.51 % --problem_path ""
% 0.20/0.51 % --include_path ""
% 0.20/0.51 % --clausifier .//eprover
% 0.20/0.51 % --clausifier_options --tstp-format
% 0.20/0.51 % --stdin false
% 0.20/0.51 % --dbg_backtrace false
% 0.20/0.51 % --dbg_dump_prop_clauses false
% 0.20/0.51 % --dbg_dump_prop_clauses_file -
% 0.20/0.51 % --dbg_out_stat false
% 0.20/0.51
% 0.20/0.51 % ------ General Options
% 0.20/0.51
% 0.20/0.51 % --fof false
% 0.20/0.51 % --time_out_real 150.
% 0.20/0.51 % --time_out_prep_mult 0.2
% 0.20/0.51 % --time_out_virtual -1.
% 0.20/0.51 % --schedule none
% 0.20/0.51 % --ground_splitting input
% 0.20/0.51 % --splitting_nvd 16
% 0.20/0.51 % --non_eq_to_eq false
% 0.20/0.51 % --prep_gs_sim true
% 0.20/0.51 % --prep_unflatten false
% 0.20/0.51 % --prep_res_sim true
% 0.20/0.51 % --prep_upred true
% 0.20/0.51 % --res_sim_input true
% 0.20/0.51 % --clause_weak_htbl true
% 0.20/0.51 % --gc_record_bc_elim false
% 0.20/0.51 % --symbol_type_check false
% 0.20/0.51 % --clausify_out false
% 0.20/0.51 % --large_theory_mode false
% 0.20/0.51 % --prep_sem_filter none
% 0.20/0.51 % --prep_sem_filter_out false
% 0.20/0.51 % --preprocessed_out false
% 0.20/0.51 % --sub_typing false
% 0.20/0.51 % --brand_transform false
% 0.20/0.51 % --pure_diseq_elim true
% 0.20/0.51 % --min_unsat_core false
% 0.20/0.51 % --pred_elim true
% 0.20/0.51 % --add_important_lit false
% 0.20/0.51 % --soft_assumptions false
% 0.20/0.51 % --reset_solvers false
% 0.20/0.51 % --bc_imp_inh []
% 0.20/0.51 % --conj_cone_tolerance 1.5
% 0.20/0.51 % --prolific_symb_bound 500
% 0.20/0.51 % --lt_threshold 2000
% 0.20/0.51
% 0.20/0.51 % ------ SAT Options
% 0.20/0.51
% 0.20/0.51 % --sat_mode false
% 0.20/0.51 % --sat_fm_restart_options ""
% 0.20/0.51 % --sat_gr_def false
% 0.20/0.51 % --sat_epr_types true
% 0.20/0.51 % --sat_non_cyclic_types false
% 0.20/0.51 % --sat_finite_models false
% 0.20/0.51 % --sat_fm_lemmas false
% 0.20/0.51 % --sat_fm_prep false
% 0.20/0.51 % --sat_fm_uc_incr true
% 0.20/0.51 % --sat_out_model small
% 0.20/0.51 % --sat_out_clauses false
% 0.20/0.51
% 0.20/0.51 % ------ QBF Options
% 0.20/0.51
% 0.20/0.51 % --qbf_mode false
% 0.20/0.51 % --qbf_elim_univ true
% 0.20/0.51 % --qbf_sk_in true
% 0.20/0.51 % --qbf_pred_elim true
% 0.20/0.51 % --qbf_split 32
% 0.20/0.51
% 0.20/0.51 % ------ BMC1 Options
% 0.20/0.51
% 0.20/0.51 % --bmc1_incremental false
% 0.20/0.51 % --bmc1_axioms reachable_all
% 0.20/0.51 % --bmc1_min_bound 0
% 0.20/0.51 % --bmc1_max_bound -1
% 0.20/0.51 % --bmc1_max_bound_default -1
% 0.20/0.51 % --bmc1_symbol_reachability true
% 0.20/0.51 % --bmc1_property_lemmas false
% 0.20/0.51 % --bmc1_k_induction false
% 0.20/0.51 % --bmc1_non_equiv_states false
% 0.20/0.51 % --bmc1_deadlock false
% 0.20/0.51 % --bmc1_ucm false
% 0.20/0.51 % --bmc1_add_unsat_core none
% 0.20/0.51 % --bmc1_unsat_core_children false
% 0.20/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.51 % --bmc1_out_stat full
% 0.20/0.51 % --bmc1_ground_init false
% 0.20/0.51 % --bmc1_pre_inst_next_state false
% 0.20/0.51 % --bmc1_pre_inst_state false
% 0.20/0.51 % --bmc1_pre_inst_reach_state false
% 0.20/0.51 % --bmc1_out_unsat_core false
% 0.20/0.51 % --bmc1_aig_witness_out false
% 0.20/0.51 % --bmc1_verbose false
% 0.20/0.51 % --bmc1_dump_clauses_tptp false
% 150.29/150.52 % --bmc1_dump_unsat_core_tptp false
% 150.29/150.52 % --bmc1_dump_file -
% 150.29/150.52 % --bmc1_ucm_expand_uc_limit 128
% 150.29/150.52 % --bmc1_ucm_n_expand_iterations 6
% 150.29/150.52 % --bmc1_ucm_extend_mode 1
% 150.29/150.52 % --bmc1_ucm_init_mode 2
% 150.29/150.52 % --bmc1_ucm_cone_mode none
% 150.29/150.52 % --bmc1_ucm_reduced_relation_type 0
% 150.29/150.52 % --bmc1_ucm_relax_model 4
% 150.29/150.52 % --bmc1_ucm_full_tr_after_sat true
% 150.29/150.52 % --bmc1_ucm_expand_neg_assumptions false
% 150.29/150.52 % --bmc1_ucm_layered_model none
% 150.29/150.52 % --bmc1_ucm_max_lemma_size 10
% 150.29/150.52
% 150.29/150.52 % ------ AIG Options
% 150.29/150.52
% 150.29/150.52 % --aig_mode false
% 150.29/150.52
% 150.29/150.52 % ------ Instantiation Options
% 150.29/150.52
% 150.29/150.52 % --instantiation_flag true
% 150.29/150.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.29/150.52 % --inst_solver_per_active 750
% 150.29/150.52 % --inst_solver_calls_frac 0.5
% 150.29/150.52 % --inst_passive_queue_type priority_queues
% 150.29/150.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.29/150.52 % --inst_passive_queues_freq [25;2]
% 150.29/150.52 % --inst_dismatching true
% 150.29/150.52 % --inst_eager_unprocessed_to_passive true
% 150.29/150.52 % --inst_prop_sim_given true
% 150.29/150.52 % --inst_prop_sim_new false
% 150.29/150.52 % --inst_orphan_elimination true
% 150.29/150.52 % --inst_learning_loop_flag true
% 150.29/150.52 % --inst_learning_start 3000
% 150.29/150.52 % --inst_learning_factor 2
% 150.29/150.52 % --inst_start_prop_sim_after_learn 3
% 150.29/150.52 % --inst_sel_renew solver
% 150.29/150.52 % --inst_lit_activity_flag true
% 150.29/150.52 % --inst_out_proof true
% 150.29/150.52
% 150.29/150.52 % ------ Resolution Options
% 150.29/150.52
% 150.29/150.52 % --resolution_flag true
% 150.29/150.52 % --res_lit_sel kbo_max
% 150.29/150.52 % --res_to_prop_solver none
% 150.29/150.52 % --res_prop_simpl_new false
% 150.29/150.52 % --res_prop_simpl_given false
% 150.29/150.52 % --res_passive_queue_type priority_queues
% 150.29/150.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.29/150.52 % --res_passive_queues_freq [15;5]
% 150.29/150.52 % --res_forward_subs full
% 150.29/150.52 % --res_backward_subs full
% 150.29/150.52 % --res_forward_subs_resolution true
% 150.29/150.52 % --res_backward_subs_resolution true
% 150.29/150.52 % --res_orphan_elimination false
% 150.29/150.52 % --res_time_limit 1000.
% 150.29/150.52 % --res_out_proof true
% 150.29/150.52 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1ac6a5.s
% 150.29/150.52 % --modulo true
% 150.29/150.52
% 150.29/150.52 % ------ Combination Options
% 150.29/150.52
% 150.29/150.52 % --comb_res_mult 1000
% 150.29/150.52 % --comb_inst_mult 300
% 150.29/150.52 % ------
% 150.29/150.52
% 150.29/150.52 % ------ Parsing...% successful
% 150.29/150.52
% 150.29/150.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.29/150.52
% 150.29/150.52 % ------ Proving...
% 150.29/150.52 % ------ Problem Properties
% 150.29/150.52
% 150.29/150.52 %
% 150.29/150.52 % EPR false
% 150.29/150.52 % Horn false
% 150.29/150.52 % Has equality true
% 150.29/150.52
% 150.29/150.52 % % ------ Input Options Time Limit: Unbounded
% 150.29/150.52
% 150.29/150.52
% 150.29/150.52 Compiling...
% 150.29/150.52 Loading plugin: done.
% 150.29/150.52 %
% 150.29/150.52
% 150.29/150.52
% 150.29/150.52 % Time Out Real
% 150.29/150.52
% 150.29/150.52 % ------ Statistics
% 150.29/150.52
% 150.29/150.52 % ------ General
% 150.29/150.52
% 150.29/150.52 % num_of_input_clauses: 1484
% 150.29/150.52 % num_of_input_neg_conjectures: 1
% 150.29/150.52 % num_of_splits: 0
% 150.29/150.52 % num_of_split_atoms: 0
% 150.29/150.52 % num_of_sem_filtered_clauses: 0
% 150.29/150.52 % num_of_subtypes: 0
% 150.29/150.52 % monotx_restored_types: 0
% 150.29/150.52 % sat_num_of_epr_types: 0
% 150.29/150.52 % sat_num_of_non_cyclic_types: 0
% 150.29/150.52 % sat_guarded_non_collapsed_types: 0
% 150.29/150.52 % is_epr: 0
% 150.29/150.52 % is_horn: 0
% 150.29/150.52 % has_eq: 1
% 150.29/150.52 % num_pure_diseq_elim: 0
% 150.29/150.52 % simp_replaced_by: 0
% 150.29/150.52 % res_preprocessed: 2
% 150.29/150.52 % prep_upred: 0
% 150.29/150.52 % prep_unflattend: 0
% 150.29/150.52 % pred_elim_cands: 0
% 150.29/150.52 % pred_elim: 0
% 150.29/150.52 % pred_elim_cl: 0
% 150.29/150.52 % pred_elim_cycles: 0
% 150.35/150.53 % forced_gc_time: 0
% 150.35/150.53 % gc_basic_clause_elim: 0
% 150.35/150.53 % parsing_time: 0.053
% 150.35/150.53 % sem_filter_time: 0.
% 150.35/150.53 % pred_elim_time: 0.
% 150.35/150.53 % out_proof_time: 0.
% 150.35/150.53 % monotx_time: 0.
% 150.35/150.53 % subtype_inf_time: 0.
% 150.35/150.53 % unif_index_cands_time: 0.
% 150.35/150.53 % unif_index_add_time: 0.
% 150.35/150.53 % total_time: 150.024
% 150.35/150.53 % num_of_symbols: 123
% 150.35/150.53 % num_of_terms: 4605
% 150.35/150.53
% 150.35/150.53 % ------ Propositional Solver
% 150.35/150.53
% 150.35/150.53 % prop_solver_calls: 1
% 150.35/150.53 % prop_fast_solver_calls: 3
% 150.35/150.53 % prop_num_of_clauses: 1274
% 150.35/150.53 % prop_preprocess_simplified: 4568
% 150.35/150.53 % prop_fo_subsumed: 0
% 150.35/150.53 % prop_solver_time: 0.
% 150.35/150.53 % prop_fast_solver_time: 0.
% 150.35/150.53 % prop_unsat_core_time: 0.
% 150.35/150.53
% 150.35/150.53 % ------ QBF
% 150.35/150.53
% 150.35/150.53 % qbf_q_res: 0
% 150.35/150.53 % qbf_num_tautologies: 0
% 150.35/150.53 % qbf_prep_cycles: 0
% 150.35/150.53
% 150.35/150.53 % ------ BMC1
% 150.35/150.53
% 150.35/150.53 % bmc1_current_bound: -1
% 150.35/150.53 % bmc1_last_solved_bound: -1
% 150.35/150.53 % bmc1_unsat_core_size: -1
% 150.35/150.53 % bmc1_unsat_core_parents_size: -1
% 150.35/150.53 % bmc1_merge_next_fun: 0
% 150.35/150.53 % bmc1_unsat_core_clauses_time: 0.
% 150.35/150.53
% 150.35/150.53 % ------ Instantiation
% 150.35/150.53
% 150.35/150.53 % inst_num_of_clauses: 1344
% 150.35/150.53 % inst_num_in_passive: 0
% 150.35/150.53 % inst_num_in_active: 0
% 150.35/150.53 % inst_num_in_unprocessed: 1484
% 150.35/150.53 % inst_num_of_loops: 0
% 150.35/150.53 % inst_num_of_learning_restarts: 0
% 150.35/150.53 % inst_num_moves_active_passive: 0
% 150.35/150.53 % inst_lit_activity: 0
% 150.35/150.53 % inst_lit_activity_moves: 0
% 150.35/150.53 % inst_num_tautologies: 0
% 150.35/150.53 % inst_num_prop_implied: 0
% 150.35/150.53 % inst_num_existing_simplified: 0
% 150.35/150.53 % inst_num_eq_res_simplified: 0
% 150.35/150.53 % inst_num_child_elim: 0
% 150.35/150.53 % inst_num_of_dismatching_blockings: 0
% 150.35/150.53 % inst_num_of_non_proper_insts: 0
% 150.35/150.53 % inst_num_of_duplicates: 0
% 150.35/150.53 % inst_inst_num_from_inst_to_res: 0
% 150.35/150.53 % inst_dismatching_checking_time: 0.
% 150.35/150.53
% 150.35/150.53 % ------ Resolution
% 150.35/150.53
% 150.35/150.53 % res_num_of_clauses: 1299
% 150.35/150.53 % res_num_in_passive: 0
% 150.35/150.53 % res_num_in_active: 495
% 150.35/150.53 % res_num_of_loops: 0
% 150.35/150.53 % res_forward_subset_subsumed: 816
% 150.35/150.53 % res_backward_subset_subsumed: 8
% 150.35/150.53 % res_forward_subsumed: 0
% 150.35/150.53 % res_backward_subsumed: 0
% 150.35/150.53 % res_forward_subsumption_resolution: 0
% 150.35/150.53 % res_backward_subsumption_resolution: 0
% 150.35/150.53 % res_clause_to_clause_subsumption: 0
% 150.35/150.53 % res_orphan_elimination: 0
% 150.35/150.53 % res_tautology_del: 0
% 150.35/150.53 % res_num_eq_res_simplified: 0
% 150.35/150.53 % res_num_sel_changes: 0
% 150.35/150.53 % res_moves_from_active_to_pass: 0
% 150.35/150.53
% 150.35/150.53 % Status Unknown
% 150.46/150.64 % Orienting using strategy ClausalAll
% 150.46/150.64 % Orientation found
% 150.46/150.64 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1ac6a5.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_74f804.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c983b2 | grep -v "SZS"
% 150.46/150.67
% 150.46/150.67 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.46/150.67
% 150.46/150.67 %
% 150.46/150.67 % ------ iProver source info
% 150.46/150.67
% 150.46/150.67 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.46/150.67 % git: non_committed_changes: true
% 150.46/150.67 % git: last_make_outside_of_git: true
% 150.46/150.67
% 150.46/150.67 %
% 150.46/150.67 % ------ Input Options
% 150.46/150.67
% 150.46/150.67 % --out_options all
% 150.46/150.67 % --tptp_safe_out true
% 150.46/150.67 % --problem_path ""
% 150.46/150.67 % --include_path ""
% 150.46/150.67 % --clausifier .//eprover
% 150.46/150.67 % --clausifier_options --tstp-format
% 150.46/150.67 % --stdin false
% 150.46/150.67 % --dbg_backtrace false
% 150.46/150.67 % --dbg_dump_prop_clauses false
% 150.46/150.67 % --dbg_dump_prop_clauses_file -
% 150.46/150.67 % --dbg_out_stat false
% 150.46/150.67
% 150.46/150.67 % ------ General Options
% 150.46/150.67
% 150.46/150.67 % --fof false
% 150.46/150.67 % --time_out_real 150.
% 150.46/150.67 % --time_out_prep_mult 0.2
% 150.46/150.67 % --time_out_virtual -1.
% 150.46/150.67 % --schedule none
% 150.46/150.67 % --ground_splitting input
% 150.46/150.67 % --splitting_nvd 16
% 150.46/150.67 % --non_eq_to_eq false
% 150.46/150.67 % --prep_gs_sim true
% 150.46/150.67 % --prep_unflatten false
% 150.46/150.67 % --prep_res_sim true
% 150.46/150.67 % --prep_upred true
% 150.46/150.67 % --res_sim_input true
% 150.46/150.67 % --clause_weak_htbl true
% 150.46/150.67 % --gc_record_bc_elim false
% 150.46/150.67 % --symbol_type_check false
% 150.46/150.67 % --clausify_out false
% 150.46/150.67 % --large_theory_mode false
% 150.46/150.67 % --prep_sem_filter none
% 150.46/150.67 % --prep_sem_filter_out false
% 150.46/150.67 % --preprocessed_out false
% 150.46/150.67 % --sub_typing false
% 150.46/150.67 % --brand_transform false
% 150.46/150.67 % --pure_diseq_elim true
% 150.46/150.67 % --min_unsat_core false
% 150.46/150.67 % --pred_elim true
% 150.46/150.67 % --add_important_lit false
% 150.46/150.67 % --soft_assumptions false
% 150.46/150.67 % --reset_solvers false
% 150.46/150.67 % --bc_imp_inh []
% 150.46/150.67 % --conj_cone_tolerance 1.5
% 150.46/150.67 % --prolific_symb_bound 500
% 150.46/150.67 % --lt_threshold 2000
% 150.46/150.67
% 150.46/150.67 % ------ SAT Options
% 150.46/150.67
% 150.46/150.67 % --sat_mode false
% 150.46/150.67 % --sat_fm_restart_options ""
% 150.46/150.67 % --sat_gr_def false
% 150.46/150.67 % --sat_epr_types true
% 150.46/150.67 % --sat_non_cyclic_types false
% 150.46/150.67 % --sat_finite_models false
% 150.46/150.67 % --sat_fm_lemmas false
% 150.46/150.67 % --sat_fm_prep false
% 150.46/150.67 % --sat_fm_uc_incr true
% 150.46/150.67 % --sat_out_model small
% 150.46/150.67 % --sat_out_clauses false
% 150.46/150.67
% 150.46/150.67 % ------ QBF Options
% 150.46/150.67
% 150.46/150.67 % --qbf_mode false
% 150.46/150.67 % --qbf_elim_univ true
% 150.46/150.67 % --qbf_sk_in true
% 150.46/150.67 % --qbf_pred_elim true
% 150.46/150.67 % --qbf_split 32
% 150.46/150.67
% 150.46/150.67 % ------ BMC1 Options
% 150.46/150.67
% 150.46/150.67 % --bmc1_incremental false
% 150.46/150.67 % --bmc1_axioms reachable_all
% 150.46/150.67 % --bmc1_min_bound 0
% 150.46/150.67 % --bmc1_max_bound -1
% 150.46/150.67 % --bmc1_max_bound_default -1
% 150.46/150.67 % --bmc1_symbol_reachability true
% 150.46/150.67 % --bmc1_property_lemmas false
% 150.46/150.67 % --bmc1_k_induction false
% 150.46/150.67 % --bmc1_non_equiv_states false
% 150.46/150.67 % --bmc1_deadlock false
% 150.46/150.67 % --bmc1_ucm false
% 150.46/150.67 % --bmc1_add_unsat_core none
% 150.46/150.67 % --bmc1_unsat_core_children false
% 150.46/150.67 % --bmc1_unsat_core_extrapolate_axioms false
% 150.46/150.67 % --bmc1_out_stat full
% 150.46/150.67 % --bmc1_ground_init false
% 150.46/150.67 % --bmc1_pre_inst_next_state false
% 150.46/150.67 % --bmc1_pre_inst_state false
% 150.46/150.67 % --bmc1_pre_inst_reach_state false
% 150.46/150.67 % --bmc1_out_unsat_core false
% 150.46/150.67 % --bmc1_aig_witness_out false
% 150.46/150.67 % --bmc1_verbose false
% 150.46/150.67 % --bmc1_dump_clauses_tptp false
% 153.99/154.18 % --bmc1_dump_unsat_core_tptp false
% 153.99/154.18 % --bmc1_dump_file -
% 153.99/154.18 % --bmc1_ucm_expand_uc_limit 128
% 153.99/154.18 % --bmc1_ucm_n_expand_iterations 6
% 153.99/154.18 % --bmc1_ucm_extend_mode 1
% 153.99/154.18 % --bmc1_ucm_init_mode 2
% 153.99/154.18 % --bmc1_ucm_cone_mode none
% 153.99/154.18 % --bmc1_ucm_reduced_relation_type 0
% 153.99/154.18 % --bmc1_ucm_relax_model 4
% 153.99/154.18 % --bmc1_ucm_full_tr_after_sat true
% 153.99/154.18 % --bmc1_ucm_expand_neg_assumptions false
% 153.99/154.18 % --bmc1_ucm_layered_model none
% 153.99/154.18 % --bmc1_ucm_max_lemma_size 10
% 153.99/154.18
% 153.99/154.18 % ------ AIG Options
% 153.99/154.18
% 153.99/154.18 % --aig_mode false
% 153.99/154.18
% 153.99/154.18 % ------ Instantiation Options
% 153.99/154.18
% 153.99/154.18 % --instantiation_flag true
% 153.99/154.18 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.99/154.18 % --inst_solver_per_active 750
% 153.99/154.18 % --inst_solver_calls_frac 0.5
% 153.99/154.18 % --inst_passive_queue_type priority_queues
% 153.99/154.18 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.99/154.18 % --inst_passive_queues_freq [25;2]
% 153.99/154.18 % --inst_dismatching true
% 153.99/154.18 % --inst_eager_unprocessed_to_passive true
% 153.99/154.18 % --inst_prop_sim_given true
% 153.99/154.18 % --inst_prop_sim_new false
% 153.99/154.18 % --inst_orphan_elimination true
% 153.99/154.18 % --inst_learning_loop_flag true
% 153.99/154.18 % --inst_learning_start 3000
% 153.99/154.18 % --inst_learning_factor 2
% 153.99/154.18 % --inst_start_prop_sim_after_learn 3
% 153.99/154.18 % --inst_sel_renew solver
% 153.99/154.18 % --inst_lit_activity_flag true
% 153.99/154.18 % --inst_out_proof true
% 153.99/154.18
% 153.99/154.18 % ------ Resolution Options
% 153.99/154.18
% 153.99/154.18 % --resolution_flag true
% 153.99/154.18 % --res_lit_sel kbo_max
% 153.99/154.18 % --res_to_prop_solver none
% 153.99/154.18 % --res_prop_simpl_new false
% 153.99/154.18 % --res_prop_simpl_given false
% 153.99/154.18 % --res_passive_queue_type priority_queues
% 153.99/154.18 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.99/154.18 % --res_passive_queues_freq [15;5]
% 153.99/154.18 % --res_forward_subs full
% 153.99/154.18 % --res_backward_subs full
% 153.99/154.18 % --res_forward_subs_resolution true
% 153.99/154.18 % --res_backward_subs_resolution true
% 153.99/154.18 % --res_orphan_elimination false
% 153.99/154.18 % --res_time_limit 1000.
% 153.99/154.18 % --res_out_proof true
% 153.99/154.18 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1ac6a5.s
% 153.99/154.18 % --modulo true
% 153.99/154.18
% 153.99/154.18 % ------ Combination Options
% 153.99/154.18
% 153.99/154.18 % --comb_res_mult 1000
% 153.99/154.18 % --comb_inst_mult 300
% 153.99/154.18 % ------
% 153.99/154.18
% 153.99/154.18 % ------ Parsing...% successful
% 153.99/154.18
% 153.99/154.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 153.99/154.18
% 153.99/154.18 % ------ Proving...
% 153.99/154.18 % ------ Problem Properties
% 153.99/154.18
% 153.99/154.18 %
% 153.99/154.18 % EPR false
% 153.99/154.18 % Horn false
% 153.99/154.18 % Has equality true
% 153.99/154.18
% 153.99/154.18 % % ------ Input Options Time Limit: Unbounded
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 Compiling...
% 153.99/154.18 Loading plugin: done.
% 153.99/154.18 % % ------ Current options:
% 153.99/154.18
% 153.99/154.18 % ------ Input Options
% 153.99/154.18
% 153.99/154.18 % --out_options all
% 153.99/154.18 % --tptp_safe_out true
% 153.99/154.18 % --problem_path ""
% 153.99/154.18 % --include_path ""
% 153.99/154.18 % --clausifier .//eprover
% 153.99/154.18 % --clausifier_options --tstp-format
% 153.99/154.18 % --stdin false
% 153.99/154.18 % --dbg_backtrace false
% 153.99/154.18 % --dbg_dump_prop_clauses false
% 153.99/154.18 % --dbg_dump_prop_clauses_file -
% 153.99/154.18 % --dbg_out_stat false
% 153.99/154.18
% 153.99/154.18 % ------ General Options
% 153.99/154.18
% 153.99/154.18 % --fof false
% 153.99/154.18 % --time_out_real 150.
% 153.99/154.18 % --time_out_prep_mult 0.2
% 153.99/154.18 % --time_out_virtual -1.
% 153.99/154.18 % --schedule none
% 153.99/154.18 % --ground_splitting input
% 153.99/154.18 % --splitting_nvd 16
% 153.99/154.18 % --non_eq_to_eq false
% 153.99/154.18 % --prep_gs_sim true
% 153.99/154.18 % --prep_unflatten false
% 153.99/154.18 % --prep_res_sim true
% 153.99/154.18 % --prep_upred true
% 153.99/154.18 % --res_sim_input true
% 153.99/154.18 % --clause_weak_htbl true
% 153.99/154.18 % --gc_record_bc_elim false
% 153.99/154.18 % --symbol_type_check false
% 153.99/154.18 % --clausify_out false
% 153.99/154.18 % --large_theory_mode false
% 153.99/154.18 % --prep_sem_filter none
% 153.99/154.18 % --prep_sem_filter_out false
% 153.99/154.18 % --preprocessed_out false
% 153.99/154.18 % --sub_typing false
% 153.99/154.18 % --brand_transform false
% 153.99/154.18 % --pure_diseq_elim true
% 153.99/154.18 % --min_unsat_core false
% 153.99/154.18 % --pred_elim true
% 153.99/154.18 % --add_important_lit false
% 153.99/154.18 % --soft_assumptions false
% 153.99/154.18 % --reset_solvers false
% 153.99/154.18 % --bc_imp_inh []
% 153.99/154.18 % --conj_cone_tolerance 1.5
% 153.99/154.18 % --prolific_symb_bound 500
% 153.99/154.18 % --lt_threshold 2000
% 153.99/154.18
% 153.99/154.18 % ------ SAT Options
% 153.99/154.18
% 153.99/154.18 % --sat_mode false
% 153.99/154.18 % --sat_fm_restart_options ""
% 153.99/154.18 % --sat_gr_def false
% 153.99/154.18 % --sat_epr_types true
% 153.99/154.18 % --sat_non_cyclic_types false
% 153.99/154.18 % --sat_finite_models false
% 153.99/154.18 % --sat_fm_lemmas false
% 153.99/154.18 % --sat_fm_prep false
% 153.99/154.18 % --sat_fm_uc_incr true
% 153.99/154.18 % --sat_out_model small
% 153.99/154.18 % --sat_out_clauses false
% 153.99/154.18
% 153.99/154.18 % ------ QBF Options
% 153.99/154.18
% 153.99/154.18 % --qbf_mode false
% 153.99/154.18 % --qbf_elim_univ true
% 153.99/154.18 % --qbf_sk_in true
% 153.99/154.18 % --qbf_pred_elim true
% 153.99/154.18 % --qbf_split 32
% 153.99/154.18
% 153.99/154.18 % ------ BMC1 Options
% 153.99/154.18
% 153.99/154.18 % --bmc1_incremental false
% 153.99/154.18 % --bmc1_axioms reachable_all
% 153.99/154.18 % --bmc1_min_bound 0
% 153.99/154.18 % --bmc1_max_bound -1
% 153.99/154.18 % --bmc1_max_bound_default -1
% 153.99/154.18 % --bmc1_symbol_reachability true
% 153.99/154.18 % --bmc1_property_lemmas false
% 153.99/154.18 % --bmc1_k_induction false
% 153.99/154.18 % --bmc1_non_equiv_states false
% 153.99/154.18 % --bmc1_deadlock false
% 153.99/154.18 % --bmc1_ucm false
% 153.99/154.18 % --bmc1_add_unsat_core none
% 153.99/154.18 % --bmc1_unsat_core_children false
% 153.99/154.18 % --bmc1_unsat_core_extrapolate_axioms false
% 153.99/154.18 % --bmc1_out_stat full
% 153.99/154.18 % --bmc1_ground_init false
% 153.99/154.18 % --bmc1_pre_inst_next_state false
% 153.99/154.18 % --bmc1_pre_inst_state false
% 153.99/154.18 % --bmc1_pre_inst_reach_state false
% 153.99/154.18 % --bmc1_out_unsat_core false
% 153.99/154.18 % --bmc1_aig_witness_out false
% 153.99/154.18 % --bmc1_verbose false
% 153.99/154.18 % --bmc1_dump_clauses_tptp false
% 153.99/154.18 % --bmc1_dump_unsat_core_tptp false
% 153.99/154.18 % --bmc1_dump_file -
% 153.99/154.18 % --bmc1_ucm_expand_uc_limit 128
% 153.99/154.18 % --bmc1_ucm_n_expand_iterations 6
% 153.99/154.18 % --bmc1_ucm_extend_mode 1
% 153.99/154.18 % --bmc1_ucm_init_mode 2
% 153.99/154.18 % --bmc1_ucm_cone_mode none
% 153.99/154.18 % --bmc1_ucm_reduced_relation_type 0
% 153.99/154.18 % --bmc1_ucm_relax_model 4
% 153.99/154.18 % --bmc1_ucm_full_tr_after_sat true
% 153.99/154.18 % --bmc1_ucm_expand_neg_assumptions false
% 153.99/154.18 % --bmc1_ucm_layered_model none
% 153.99/154.18 % --bmc1_ucm_max_lemma_size 10
% 153.99/154.18
% 153.99/154.18 % ------ AIG Options
% 153.99/154.18
% 153.99/154.18 % --aig_mode false
% 153.99/154.18
% 153.99/154.18 % ------ Instantiation Options
% 153.99/154.18
% 153.99/154.18 % --instantiation_flag true
% 153.99/154.18 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.99/154.18 % --inst_solver_per_active 750
% 153.99/154.18 % --inst_solver_calls_frac 0.5
% 153.99/154.18 % --inst_passive_queue_type priority_queues
% 153.99/154.18 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.99/154.18 % --inst_passive_queues_freq [25;2]
% 153.99/154.18 % --inst_dismatching true
% 153.99/154.18 % --inst_eager_unprocessed_to_passive true
% 153.99/154.18 % --inst_prop_sim_given true
% 153.99/154.18 % --inst_prop_sim_new false
% 153.99/154.18 % --inst_orphan_elimination true
% 153.99/154.18 % --inst_learning_loop_flag true
% 153.99/154.18 % --inst_learning_start 3000
% 153.99/154.18 % --inst_learning_factor 2
% 153.99/154.18 % --inst_start_prop_sim_after_learn 3
% 153.99/154.18 % --inst_sel_renew solver
% 153.99/154.18 % --inst_lit_activity_flag true
% 153.99/154.18 % --inst_out_proof true
% 153.99/154.18
% 153.99/154.18 % ------ Resolution Options
% 153.99/154.18
% 153.99/154.18 % --resolution_flag true
% 153.99/154.18 % --res_lit_sel kbo_max
% 153.99/154.18 % --res_to_prop_solver none
% 153.99/154.18 % --res_prop_simpl_new false
% 153.99/154.18 % --res_prop_simpl_given false
% 153.99/154.18 % --res_passive_queue_type priority_queues
% 153.99/154.18 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.99/154.18 % --res_passive_queues_freq [15;5]
% 153.99/154.18 % --res_forward_subs full
% 153.99/154.18 % --res_backward_subs full
% 153.99/154.18 % --res_forward_subs_resolution true
% 153.99/154.18 % --res_backward_subs_resolution true
% 153.99/154.18 % --res_orphan_elimination false
% 153.99/154.18 % --res_time_limit 1000.
% 153.99/154.18 % --res_out_proof true
% 153.99/154.18 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1ac6a5.s
% 153.99/154.18 % --modulo true
% 153.99/154.18
% 153.99/154.18 % ------ Combination Options
% 153.99/154.18
% 153.99/154.18 % --comb_res_mult 1000
% 153.99/154.18 % --comb_inst_mult 300
% 153.99/154.18 % ------
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18 % ------ Proving...
% 153.99/154.18 % warning: shown sat in sat incomplete mode
% 153.99/154.18 %
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18
% 153.99/154.18 cnf(c_1479,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2624_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6309,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1479]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6310,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6309]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1476,plain,
% 153.99/154.18 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.18 | ~ c_Type_Otyping(X0,X1,X5)
% 153.99/154.18 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2627_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6303,plain,
% 153.99/154.18 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.18 | ~ c_Type_Otyping(X0,X1,X5)
% 153.99/154.18 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1476]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6304,plain,
% 153.99/154.18 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.99/154.18 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 153.99/154.18 | c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6303]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1473,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2628_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6297,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1473]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6298,plain,
% 153.99/154.18 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6297]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1470,plain,
% 153.99/154.18 ( X0 = X1
% 153.99/154.18 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.99/154.18 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2630_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6291,plain,
% 153.99/154.18 ( X0 = X1
% 153.99/154.18 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.99/154.18 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1470]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6292,plain,
% 153.99/154.18 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.18 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.18 | X3 = X4 ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6291]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1444,plain,
% 153.99/154.18 ( hBOOL(hAPP(X0,X1))
% 153.99/154.18 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3),X2,tc_nat)))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2645_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6239,plain,
% 153.99/154.18 ( hBOOL(hAPP(X0,X1))
% 153.99/154.18 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3),X2,tc_nat)))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1444]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6240,plain,
% 153.99/154.18 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),X1,tc_nat)))
% 153.99/154.18 | hBOOL(hAPP(X0,X2))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.99/154.18 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6239]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1440,plain,
% 153.99/154.18 ( hBOOL(hAPP(X0,X1))
% 153.99/154.18 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X1),X2,tc_nat)))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2646_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6231,plain,
% 153.99/154.18 ( hBOOL(hAPP(X0,X1))
% 153.99/154.18 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.18 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X1),X2,tc_nat)))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1440]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6232,plain,
% 153.99/154.18 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),X1,tc_nat)))
% 153.99/154.18 | hBOOL(hAPP(X0,X3))
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.99/154.18 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6231]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1412,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat)),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2665_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6175,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,tc_nat),tc_nat)),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1412]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6176,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X0,tc_nat),tc_nat)),X3),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6175]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1404,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2671_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6159,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1404]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6160,plain,
% 153.99/154.18 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 153.99/154.18 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 153.99/154.18 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6159]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1384,plain,
% 153.99/154.18 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.99/154.18 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2682_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6119,plain,
% 153.99/154.18 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 153.99/154.18 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 153.99/154.18 | ~ c_Type_Otyping(X0,X2,X5) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1384]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6120,plain,
% 153.99/154.18 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 153.99/154.18 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 153.99/154.18 | ~ c_Type_Otyping(X0,X5,X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6119]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1373,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2688_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6097,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1373]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6098,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6097]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1370,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2689_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6091,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1370]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6092,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6091]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1361,plain,
% 153.99/154.18 ( c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),tc_nat,X2) = c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat,X2)
% 153.99/154.18 | hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X2)
% 153.99/154.18 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2694_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6073,plain,
% 153.99/154.18 ( c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),tc_nat,X2) = c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat,X2)
% 153.99/154.18 | hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X2)
% 153.99/154.18 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1361]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6074,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.18 | hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.18 | c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Oone__class_Oone(tc_nat),X2,tc_nat),tc_nat,X0) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6073]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1343,plain,
% 153.99/154.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 153.99/154.18 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2701_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6037,plain,
% 153.99/154.18 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 153.99/154.18 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1343]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6038,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 153.99/154.18 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),c_Divides_Odiv__class_Odiv(X4,X3,X0),X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6037]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1339,plain,
% 153.99/154.18 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_Divides_Odiv__class_Odiv(X3,X2,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.18 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2704_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6029,plain,
% 153.99/154.18 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_Divides_Odiv__class_Odiv(X3,X2,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.18 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1339]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6030,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.18 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_Divides_Odiv__class_Odiv(X3,X1,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6029]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1333,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2706_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6017,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1333]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6018,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_6017]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1329,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2708_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6009,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X3,X0),X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1329]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6010,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6009]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1325,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2709_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6001,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1325]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6002,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.19 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6001]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1295,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2721_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5941,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1295]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5942,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5941]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1291,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2722_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5933,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1291]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5934,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5933]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1283,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2724_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5917,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1283]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5918,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5917]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1272,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2728_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5895,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1272]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5896,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5895]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1264,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2730_4) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5879,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1264]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5880,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5879]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1260,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2731_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5871,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1260]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5872,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5871]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1256,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2732_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5863,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1256]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5864,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5863]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1252,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2733_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5855,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1252]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5856,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5855]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1248,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2734_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5847,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1248]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5848,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5847]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1244,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2735_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5839,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1244]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5840,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5839]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1240,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2736_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5831,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1240]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5832,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5831]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1225,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2743_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5801,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1225]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5802,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5801]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1222,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2743_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5795,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1222]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5796,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5795]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1221,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2744_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5793,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1221]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5794,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5793]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1218,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2744_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5787,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1218]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5788,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5787]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1208,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2749_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5767,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1208]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5768,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5767]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1207,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2749_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5765,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1207]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5766,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5765]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1185,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2759_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5721,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1185]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5722,plain,
% 153.99/154.19 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X2)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5721]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1181,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2760_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5713,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1181]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5714,plain,
% 153.99/154.19 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oidom(X2)
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5713]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1144,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2775_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5639,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1144]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5640,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5639]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1116,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2782_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5583,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1116]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5584,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5583]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1097,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2788_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5545,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1097]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5546,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5545]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1085,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2792_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5521,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1085]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5522,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5521]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1049,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2807_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5449,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1049]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5450,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5449]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1047,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2807_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5445,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1047]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5446,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5445]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1045,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2808_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5441,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1045]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5442,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5441]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1043,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2808_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5437,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1043]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5438,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5437]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1010,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2824_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5371,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1010]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5372,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5371]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_998,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2829_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5347,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_998]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5348,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5347]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_994,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2831_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5339,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_994]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5340,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5339]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_993,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2831_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5337,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_993]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5338,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5337]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_983,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2835_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5317,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_983]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5318,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5317]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_977,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2837_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5305,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_977]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5306,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5305]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_973,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2838_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5297,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_973]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5298,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5297]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_969,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2839_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5289,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_969]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5290,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5289]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_965,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2843_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5281,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_965]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5282,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5281]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_964,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2843_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5279,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_964]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5280,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5279]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_962,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2844_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5275,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_962]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5276,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5275]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_961,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2844_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5273,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_961]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5274,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5273]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_959,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2846_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5269,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_959]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5270,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5269]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_955,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2847_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5261,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_955]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5262,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5261]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_917,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2858_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5185,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_917]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5186,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5185]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_896,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2865_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5143,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_896]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5144,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5143]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_893,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2866_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5137,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_893]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5138,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.19 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.19 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5137]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_854,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2882_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5059,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_854]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5060,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5059]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_851,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2883_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5053,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_851]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5054,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5053]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_848,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2884_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5047,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_848]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5048,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.19 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_5047]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_796,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2911_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4943,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_796]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4944,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4943]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_786,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.19 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2914_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4923,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.19 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 153.99/154.19 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_786]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4924,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.19 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 153.99/154.19 | X2 = X3 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4923]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_756,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.19 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2929_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4863,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.19 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_756]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4864,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.19 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 153.99/154.19 | X1 = X2 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4863]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_685,plain,
% 153.99/154.19 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2961_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4721,plain,
% 153.99/154.19 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_685]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4722,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.99/154.19 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4721]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_683,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2962_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4717,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_683]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4718,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4717]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_640,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2985_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4631,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_640]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4632,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4631]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_637,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2986_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4625,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_637]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4626,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4625]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_634,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2987_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4619,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_634]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4620,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4619]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_631,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2988_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4613,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_631]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4614,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4613]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_628,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2989_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4607,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_628]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4608,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4607]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_625,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2990_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4601,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_625]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4602,plain,
% 153.99/154.19 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4601]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_621,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X0 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.99/154.19 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2991_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4593,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X0 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.99/154.19 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_621]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4594,plain,
% 153.99/154.19 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.99/154.19 | X2 = X1 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4593]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_532,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X1 = X0
% 153.99/154.19 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3024_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4415,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X1 = X0
% 153.99/154.19 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_532]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4416,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 153.99/154.20 | X1 = X0 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4415]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_523,plain,
% 153.99/154.20 ( ~ c_Lambda_Obeta(X0,X1)
% 153.99/154.20 | ~ c_Type_Otyping(X2,X0,X3)
% 153.99/154.20 | c_Type_Otyping(X2,X1,X3) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3030_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4397,plain,
% 153.99/154.20 ( ~ c_Lambda_Obeta(X0,X1)
% 153.99/154.20 | ~ c_Type_Otyping(X2,X0,X3)
% 153.99/154.20 | c_Type_Otyping(X2,X1,X3) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_523]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4398,plain,
% 153.99/154.20 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.99/154.20 | c_Type_Otyping(X0,X3,X2)
% 153.99/154.20 | ~ c_Lambda_Obeta(X1,X3) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4397]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_510,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 153.99/154.20 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3036_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4371,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 153.99/154.20 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_510]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4372,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4371]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_507,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3037_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4365,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_507]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4366,plain,
% 153.99/154.20 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 153.99/154.20 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4365]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_491,plain,
% 153.99/154.20 ( c_Suc(X0) = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3043_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4333,plain,
% 153.99/154.20 ( c_Suc(X0) = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_491]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4334,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | c_Suc(X0) = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4333]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_447,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3062_5) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4245,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_447]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4246,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.20 | ~ class_Power_Opower(X0)
% 153.99/154.20 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4245]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_442,plain,
% 153.99/154.20 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3063_4) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4235,plain,
% 153.99/154.20 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_442]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4236,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.20 | ~ class_Power_Opower(X0)
% 153.99/154.20 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4235]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_439,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | X1 = X0
% 153.99/154.20 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3065_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4229,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | X1 = X0
% 153.99/154.20 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_439]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4230,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.99/154.20 | X1 = X0 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4229]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_421,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.20 | X2 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3070_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4193,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.20 | X2 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_421]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4194,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.99/154.20 | X1 = X0 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4193]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_419,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3070_3) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4189,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_419]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4190,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.99/154.20 | X0 = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4189]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_375,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3092_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4101,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_375]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4102,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.99/154.20 | X0 = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4101]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_370,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3094_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4091,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_370]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4092,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4091]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_367,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3095_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4085,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_367]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4086,plain,
% 153.99/154.20 ( c_Power_Opower__class_Opower(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4085]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_349,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3103_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4049,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_349]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4050,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4049]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_347,plain,
% 153.99/154.20 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3103_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4045,plain,
% 153.99/154.20 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_347]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4046,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4045]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_341,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3104_5) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4033,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.20 | ~ class_Power_Opower(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_341]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4034,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.20 | ~ class_Power_Opower(X0)
% 153.99/154.20 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4033]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_332,plain,
% 153.99/154.20 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3107_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4015,plain,
% 153.99/154.20 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_332]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4016,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4015]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_329,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3108_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4009,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_329]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_4010,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_4009]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_311,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3118_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3973,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_311]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3974,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_3973]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_309,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3118_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3969,plain,
% 153.99/154.20 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_309]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3970,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.20 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.20 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_3969]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_64,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3176_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3538,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_64]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3539,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_3538]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_61,plain,
% 153.99/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3187_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3534,plain,
% 153.99/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_61]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_3535,plain,
% 153.99/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_3534]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1483,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_4) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1939,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1483]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1943,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1939]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1944,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1943]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1945,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1944]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6317,negated_conjecture,
% 153.99/154.20 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),hAPP(hAPP(c_Lambda_Olift,v_u____),c_HOL_Ozero__class_Ozero(tc_nat))),c_Suc(v_i____))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1945]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1471,plain,
% 153.99/154.20 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.20 | X4 = X3
% 153.99/154.20 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2630_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6293,plain,
% 153.99/154.20 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.20 | X4 = X3
% 153.99/154.20 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1471]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6294,plain,
% 153.99/154.20 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.20 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.20 | X4 = X3 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6293]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1468,plain,
% 153.99/154.20 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.20 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2632_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6287,plain,
% 153.99/154.20 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.20 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1468]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1466,plain,
% 153.99/154.20 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 153.99/154.20 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2634_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6283,plain,
% 153.99/154.20 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 153.99/154.20 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1466]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1464,plain,
% 153.99/154.20 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.20 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2635_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6279,plain,
% 153.99/154.20 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.20 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1464]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1462,plain,
% 153.99/154.20 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.99/154.20 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2636_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6275,plain,
% 153.99/154.20 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 153.99/154.20 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1462]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1460,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2637_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6271,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1460]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6272,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X1 = X3 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6271]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1458,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2638_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6267,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1458]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6268,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X0 = X2 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6267]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1456,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2639_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6263,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1456]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6264,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X1 = X3 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6263]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1454,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2640_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6259,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1454]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6260,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X0 = X2 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6259]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1452,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.99/154.20 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2641_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6255,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 153.99/154.20 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1452]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6256,plain,
% 153.99/154.20 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.99/154.20 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6255]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1450,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2643_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6251,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1450]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6252,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X0 = X2 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6251]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1448,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.99/154.20 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2644_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6247,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 153.99/154.20 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1448]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6248,plain,
% 153.99/154.20 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6247]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1438,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2647_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6227,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1438]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6228,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6227]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1436,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2648_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6223,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1436]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6224,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6223]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1434,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2649_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6219,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1434]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6220,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 153.99/154.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6219]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1432,plain,
% 153.99/154.20 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.99/154.20 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2654_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6215,plain,
% 153.99/154.20 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.99/154.20 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1432]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6216,plain,
% 153.99/154.20 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6215]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1430,plain,
% 153.99/154.20 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.99/154.20 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2656_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6211,plain,
% 153.99/154.20 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.99/154.20 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1430]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6212,plain,
% 153.99/154.20 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6211]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1428,plain,
% 153.99/154.20 ( c_Lambda_OdB_OVar(X0) = X1
% 153.99/154.20 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2657_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6207,plain,
% 153.99/154.20 ( c_Lambda_OdB_OVar(X0) = X1
% 153.99/154.20 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1428]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6208,plain,
% 153.99/154.20 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OVar(X0) = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6207]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1426,plain,
% 153.99/154.20 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2658_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6203,plain,
% 153.99/154.20 ( X0 = c_Lambda_OdB_OAbs(X1)
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1426]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6204,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.99/154.20 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6203]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1424,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2659_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6199,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1424]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6200,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 153.99/154.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6199]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1421,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X0,tc_nat),tc_nat,X2)),hAPP(X3,X0)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X0),tc_nat),tc_nat,X2)
% 153.99/154.20 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2660_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6193,plain,
% 153.99/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X0,tc_nat),tc_nat,X2)),hAPP(X3,X0)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X0),tc_nat),tc_nat,X2)
% 153.99/154.20 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1421]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6194,plain,
% 153.99/154.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.20 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,tc_nat),tc_nat,X0)),hAPP(X3,X1)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6193]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1419,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2661_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6189,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1419]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6190,plain,
% 153.99/154.20 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6189]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1417,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2662_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6185,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1417]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6186,plain,
% 153.99/154.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 153.99/154.20 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6185]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1415,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2663_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6181,plain,
% 153.99/154.20 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 153.99/154.20 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1415]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6182,plain,
% 153.99/154.20 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 153.99/154.20 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6181]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1410,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2667_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6171,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1410]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1408,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4)
% 153.99/154.20 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2669_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6167,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4)
% 153.99/154.20 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1408]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6168,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Osemiring(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6167]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1402,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2673_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6155,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1402]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1399,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(X2),X3,tc_nat),tc_nat,X0)) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.99/154.20 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2674_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6149,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(X2),X3,tc_nat),tc_nat,X0)) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.99/154.20 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1399]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6150,plain,
% 153.99/154.20 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X3,X1)),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(X1),X2,tc_nat),tc_nat,X0)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6149]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1397,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2675_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6145,plain,
% 153.99/154.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1397]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6146,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 153.99/154.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6145]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1391,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.99/154.20 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 153.99/154.20 | X2 = X4
% 153.99/154.20 | X1 = X3 ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2681_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6133,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.99/154.20 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 153.99/154.20 | X2 = X4
% 153.99/154.20 | X1 = X3 ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1391]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1387,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | X2 = X3
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X2,X4)),c_HOL_Otimes__class_Otimes(X1,X3,X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X3,X4)),c_HOL_Otimes__class_Otimes(X1,X2,X4))
% 153.99/154.20 | ~ class_Int_Onumber__ring(X4)
% 153.99/154.20 | ~ class_Ring__and__Field_Oidom(X4) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2681_4) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6125,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | X2 = X3
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X2,X4)),c_HOL_Otimes__class_Otimes(X1,X3,X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X3,X4)),c_HOL_Otimes__class_Otimes(X1,X2,X4))
% 153.99/154.20 | ~ class_Int_Onumber__ring(X4)
% 153.99/154.20 | ~ class_Ring__and__Field_Oidom(X4) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1387]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6126,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.99/154.20 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 153.99/154.20 | X1 = X3
% 153.99/154.20 | X2 = X4 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6125]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1380,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 153.99/154.20 | X1 = X3
% 153.99/154.20 | X0 = X2 ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2685_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6111,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 153.99/154.20 | X1 = X3
% 153.99/154.20 | X0 = X2 ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1380]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1378,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | X2 = X3
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2685_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6107,plain,
% 153.99/154.20 ( X0 = X1
% 153.99/154.20 | X2 = X3
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1378]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6108,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 153.99/154.20 | X0 = X2
% 153.99/154.20 | X1 = X3 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6107]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1376,plain,
% 153.99/154.20 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2686_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6103,plain,
% 153.99/154.20 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1376]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6104,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6103]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1366,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2691_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6083,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1366]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6084,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6083]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1364,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2692_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6079,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1364]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6080,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_6079]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1355,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0))
% 153.99/154.20 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2696_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6061,plain,
% 153.99/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0))
% 153.99/154.20 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.20 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1355]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6062,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.99/154.21 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0)) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6061]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1353,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2697_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6057,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1353]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6058,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6057]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1349,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2699_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6049,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1349]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6050,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6049]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1347,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2700_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6045,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1347]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6046,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6045]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1345,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2701_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6041,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1345]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6042,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6041]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1341,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X3,X1,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X1,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2704_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6033,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X3,X1,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X1,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1341]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6034,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X3,X1,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X1,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6033]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1337,plain,
% 153.99/154.21 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.99/154.21 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2705_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6025,plain,
% 153.99/154.21 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.99/154.21 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1337]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1331,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)),tc_nat),tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2707_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6013,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)),tc_nat),tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1331]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6014,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6013]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1327,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2708_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6005,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X2),X3,X2)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1327]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_6006,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X4,X5,X0),X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_6005]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1323,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2709_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5997,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1323]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5998,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5997]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1322,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2710_0) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5995,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1322]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1321,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2710_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5993,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1321]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1318,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2710_4) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5987,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1318]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5988,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5987]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1316,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2711_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5983,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1316]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5984,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5983]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1314,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2712_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5979,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1314]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5980,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5979]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1312,plain,
% 153.99/154.21 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2714_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5975,plain,
% 153.99/154.21 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1312]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5976,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5975]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1309,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2715_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5969,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1309]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5970,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5969]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1306,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2716_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5963,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1306]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5964,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5963]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1304,plain,
% 153.99/154.21 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2717_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5959,plain,
% 153.99/154.21 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1304]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5960,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 153.99/154.21 | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5959]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1302,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)) = X1
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2719_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5955,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)) = X1
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1302]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5956,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),X2,X0)) = X1 ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5955]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1299,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2720_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5949,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1299]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5950,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5949]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1281,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2725_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5913,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat)) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1281]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5914,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X1,X4,tc_nat))
% 153.99/154.21 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5913]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1275,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2727_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5901,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1275]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5902,plain,
% 153.99/154.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5901]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1238,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2737_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5827,plain,
% 153.99/154.21 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1238]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5828,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5827]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1236,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X3) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2738_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5823,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X3),X2,X3)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X3) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1236]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5824,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5823]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1232,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2740_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5815,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1232]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5816,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5815]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1229,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X0,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2741_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5809,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X0,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1229]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5810,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 153.99/154.21 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5809]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1226,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X0,X3,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2742_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5803,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X0,X3,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1226]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5804,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 153.99/154.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5803]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1216,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2745_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5783,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1216]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5784,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5783]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1214,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2746_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5779,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1214]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5780,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5779]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1210,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2748_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5771,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1210]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5772,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5771]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1205,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2749_4) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5761,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1205]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5762,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5761]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1201,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2751_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5753,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1201]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5754,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5753]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1198,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2752_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5747,plain,
% 153.99/154.21 ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1198]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5748,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5747]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1193,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | X2 = X3
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X2,X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X3,X1))
% 153.99/154.21 | ~ class_Int_Onumber__ring(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2753_4) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5737,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | X2 = X3
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X2,X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X3,X1))
% 153.99/154.21 | ~ class_Int_Onumber__ring(X1)
% 153.99/154.21 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1193]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5738,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.99/154.21 | ~ class_Int_Onumber__ring(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 153.99/154.21 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.21 | X3 = X4 ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5737]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1191,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2754_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5733,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1191]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5734,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5733]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1189,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2756_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5729,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1189]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5730,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5729]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1178,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2761_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5707,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1178]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5708,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5707]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1175,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.21 | X1 = X2
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2764_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5701,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.21 | X1 = X2
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1175]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5702,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))
% 153.99/154.21 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.21 | X2 = X3 ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5701]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1172,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.99/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2765_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5695,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 153.99/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1172]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5696,plain,
% 153.99/154.21 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5695]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1169,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.99/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2766_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5689,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 153.99/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1169]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5690,plain,
% 153.99/154.21 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5689]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1166,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2767_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5683,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1166]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5684,plain,
% 153.99/154.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.21 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5683]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1164,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2768_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5679,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1164]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1162,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2769_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5675,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1162]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1160,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2770_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5671,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1160]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5672,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5671]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1158,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2771_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5667,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1158]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5668,plain,
% 153.99/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5667]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1156,plain,
% 153.99/154.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 153.99/154.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2772_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5663,plain,
% 153.99/154.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 153.99/154.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1156]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1152,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2773_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5655,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1152]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5656,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5655]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1136,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2777_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5623,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1136]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5624,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5623]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1140,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2776_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5631,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1140]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5632,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5631]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1124,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2780_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5599,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1124]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5600,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5599]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1112,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2783_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5575,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1112]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1110,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2784_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5571,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1110]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5572,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5571]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1107,plain,
% 153.99/154.21 ( c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat),tc_nat,X3) = c_HOL_Ozero__class_Ozero(X3)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2785_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5565,plain,
% 153.99/154.21 ( c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat),tc_nat,X3) = c_HOL_Ozero__class_Ozero(X3)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.99/154.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1107]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5566,plain,
% 153.99/154.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.99/154.21 | c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5565]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1099,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2787_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5549,plain,
% 153.99/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.99/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1099]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5550,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.99/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5549]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1095,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2788_3) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5541,plain,
% 153.99/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1095]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5542,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5541]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1093,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X2) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2789_1) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5537,plain,
% 153.99/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X2) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X2,X0)
% 153.99/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1093]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5538,plain,
% 153.99/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X2) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X2,X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5537]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1090,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2790_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5531,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1090]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5532,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 153.99/154.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.21 inference(rewriting,[status(thm)],[c_5531]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_1087,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2791_2) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5525,plain,
% 153.99/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 153.99/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.21 inference(copy,[status(esa)],[c_1087]) ).
% 153.99/154.21
% 153.99/154.21 cnf(c_5526,plain,
% 153.99/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.21 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 153.99/154.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5525]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1083,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2792_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5517,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1083]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5518,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5517]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1081,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2793_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5513,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1081]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5514,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5513]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1079,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2794_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5509,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1079]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5510,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X3,X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5509]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1077,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2795_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5505,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1077]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5506,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5505]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1075,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2796_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5501,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1075]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5502,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5501]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1057,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2802_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5465,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1057]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5466,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5465]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1060,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2801_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5471,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1060]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5472,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5471]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1055,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2804_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5461,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1055]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5462,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5461]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1053,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2805_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5457,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1053]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5458,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5457]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1051,plain,
% 153.99/154.22 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.22 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2806_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5453,plain,
% 153.99/154.22 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.22 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1051]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1041,plain,
% 153.99/154.22 ( hBOOL(hAPP(X0,X1))
% 153.99/154.22 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2809_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5433,plain,
% 153.99/154.22 ( hBOOL(hAPP(X0,X1))
% 153.99/154.22 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1041]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5434,plain,
% 153.99/154.22 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 153.99/154.22 | hBOOL(hAPP(X0,X1)) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5433]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1039,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2810_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5429,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1039]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5430,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5429]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1037,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2811_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5425,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1037]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5426,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5425]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1035,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2812_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5421,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1035]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5422,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5421]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1031,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2814_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5413,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1031]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5414,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5413]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1029,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2815_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5409,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1029]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5410,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5409]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1025,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2817_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5401,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1025]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5402,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5401]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1022,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2820_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5395,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1022]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5396,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5395]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1016,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2822_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5383,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1016]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5384,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5383]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1014,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2822_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5379,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1014]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5380,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5379]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1012,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2823_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5375,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1012]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5376,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5375]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1009,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2824_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5369,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1009]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1005,plain,
% 153.99/154.22 ( X0 = c_List_Olist_ONil(X1)
% 153.99/154.22 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2826_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5361,plain,
% 153.99/154.22 ( X0 = c_List_Olist_ONil(X1)
% 153.99/154.22 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1005]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5362,plain,
% 153.99/154.22 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 153.99/154.22 | X1 = c_List_Olist_ONil(X2) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5361]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_1002,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.99/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2828_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5355,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 153.99/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_1002]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5356,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5355]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_996,plain,
% 153.99/154.22 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 153.99/154.22 | ~ c_Lambda_Obeta(X0,X3) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2830_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5343,plain,
% 153.99/154.22 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 153.99/154.22 | ~ c_Lambda_Obeta(X0,X3) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_996]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_991,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2833_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5333,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_991]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_979,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2836_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5309,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_979]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5310,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5309]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_975,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2837_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5301,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_975]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_971,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2838_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5293,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_971]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5294,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5293]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_967,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2839_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5285,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_967]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5286,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5285]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_957,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2846_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5265,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_957]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5266,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5265]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_953,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2847_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5257,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_953]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5258,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5257]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_950,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2848_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5251,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_950]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5252,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5251]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_947,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2849_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5245,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_947]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_944,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2850_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5239,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_944]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_940,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2851_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5231,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 153.99/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_940]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5232,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5231]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_936,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2852_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5223,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_936]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_935,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2852_4) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5221,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_935]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_933,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2853_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5217,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_933]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5218,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5217]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_930,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2854_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5211,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_930]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5212,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5211]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_927,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2855_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5205,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_927]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5206,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5205]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_924,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2856_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5199,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_924]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5200,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5199]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_921,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2857_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5193,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.99/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_921]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5194,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.22 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5193]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_915,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2859_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5181,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_915]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_914,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2860_0) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5179,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_914]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_912,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2860_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5175,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_912]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5176,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5175]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_906,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2862_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5163,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_906]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5164,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5163]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_904,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X3) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2862_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5159,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X3) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_904]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5160,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5159]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_901,plain,
% 153.99/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2863_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5153,plain,
% 153.99/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_901]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5154,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5153]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_898,plain,
% 153.99/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X1,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2864_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5147,plain,
% 153.99/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X1,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_898]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5148,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5147]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_895,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2865_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5141,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_895]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_891,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2866_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5133,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_891]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5134,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5133]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_889,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X1,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0)),X1,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2867_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5129,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X1,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0)),X1,X0)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_889]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5130,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X1,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0)),X1,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5129]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_886,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2868_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5123,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_886]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5124,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 153.99/154.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5123]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_883,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2869_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5117,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 153.99/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_883]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5118,plain,
% 153.99/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 153.99/154.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5117]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_880,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2870_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5111,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_880]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5112,plain,
% 153.99/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.22 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5111]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_876,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2872_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5103,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_876]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5104,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5103]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_872,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2874_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5095,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_872]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5096,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5095]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_870,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2875_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5091,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_870]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5092,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5091]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_868,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2876_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5087,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_868]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5088,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5087]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_866,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2877_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5083,plain,
% 153.99/154.22 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_866]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5084,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.99/154.22 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5083]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_863,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2878_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5077,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_863]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_862,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2878_3) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5075,plain,
% 153.99/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_862]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_861,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2878_4) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5073,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_861]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_859,plain,
% 153.99/154.22 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2879_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5069,plain,
% 153.99/154.22 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 153.99/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_859]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5070,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.99/154.22 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5069]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_857,plain,
% 153.99/154.22 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2880_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5065,plain,
% 153.99/154.22 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_857]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5066,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5065]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_846,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2886_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5043,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_846]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_844,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2887_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5039,plain,
% 153.99/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 153.99/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_844]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_842,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2888_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5035,plain,
% 153.99/154.22 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.22 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_842]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5036,plain,
% 153.99/154.22 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 153.99/154.22 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5035]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_839,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2889_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5029,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_839]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5030,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5029]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_836,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2890_2) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5023,plain,
% 153.99/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 153.99/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_836]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5024,plain,
% 153.99/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 153.99/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5023]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_834,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.99/154.22 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2891_1) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5019,plain,
% 153.99/154.22 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.99/154.22 inference(copy,[status(esa)],[c_834]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_5020,plain,
% 153.99/154.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.99/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.99/154.22 inference(rewriting,[status(thm)],[c_5019]) ).
% 153.99/154.22
% 153.99/154.22 cnf(c_832,plain,
% 153.99/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2892_1) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_5015,plain,
% 153.99/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.99/154.23 inference(copy,[status(esa)],[c_832]) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_5016,plain,
% 153.99/154.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.99/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.99/154.23 inference(rewriting,[status(thm)],[c_5015]) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_830,plain,
% 153.99/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2893_1) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_5011,plain,
% 153.99/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 153.99/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.23 inference(copy,[status(esa)],[c_830]) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_5012,plain,
% 153.99/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 153.99/154.23 inference(rewriting,[status(thm)],[c_5011]) ).
% 153.99/154.23
% 153.99/154.23 cnf(c_827,plain,
% 153.99/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.23 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2896_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_5005,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_827]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_5006,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_5005]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_824,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2898_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4999,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_824]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_5000,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4999]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_822,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2899_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4995,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_822]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4996,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4995]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_820,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2900_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4991,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_820]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4992,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4991]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_816,plain,
% 154.06/154.23 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.06/154.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2902_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4983,plain,
% 154.06/154.23 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.06/154.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_816]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4984,plain,
% 154.06/154.23 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.23 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4983]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_815,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2903_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4981,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_815]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_814,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2903_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4979,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_814]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_813,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2903_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4977,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_813]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_812,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2903_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4975,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_812]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_811,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2904_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4973,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_811]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_809,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2904_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4969,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_809]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_808,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2904_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4967,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_808]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_806,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2905_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4963,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_806]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4964,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4963]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_804,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2906_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4959,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_804]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_802,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2907_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4955,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_802]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_800,plain,
% 154.06/154.23 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.06/154.23 | ~ hBOOL(hAPP(X0,X1)) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2908_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4951,plain,
% 154.06/154.23 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.06/154.23 | ~ hBOOL(hAPP(X0,X1)) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_800]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_797,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2910_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4945,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_797]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4946,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4945]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_794,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2911_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4939,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_794]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_792,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2912_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4935,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_792]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4936,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4935]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_790,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2913_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4931,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_790]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4932,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4931]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_784,plain,
% 154.06/154.23 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 154.06/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2915_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4919,plain,
% 154.06/154.23 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 154.06/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_784]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4920,plain,
% 154.06/154.23 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 154.06/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4919]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_782,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2917_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4915,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_782]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_781,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2917_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4913,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_781]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_780,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2917_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4911,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_780]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_778,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2918_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4907,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_778]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_777,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2918_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4905,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_777]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_776,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2918_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4903,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_776]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_773,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2921_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4897,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_773]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4898,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4897]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_771,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2922_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4893,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_771]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_768,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2923_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4887,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_768]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_765,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2924_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4881,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_765]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_762,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.06/154.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2925_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4875,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.06/154.23 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_762]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_759,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2928_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4869,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_759]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4870,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4869]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_753,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2930_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4857,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_753]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4858,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4857]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_750,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2931_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4851,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_750]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4852,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4851]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_747,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2932_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4845,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_747]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4846,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4845]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_744,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2933_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4839,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_744]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4840,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4839]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_741,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2934_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4833,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_741]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4834,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4833]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_739,plain,
% 154.06/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2935_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4829,plain,
% 154.06/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X1,X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_739]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4830,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4829]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_737,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2936_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4825,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_737]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_735,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2937_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4821,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_735]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_733,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2938_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4817,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_733]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_731,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2939_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4813,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_731]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4814,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4813]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_729,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2940_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4809,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_729]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4810,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4809]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_727,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2941_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4805,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_727]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4806,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4805]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_725,plain,
% 154.06/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2942_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4801,plain,
% 154.06/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_725]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4802,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4801]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_723,plain,
% 154.06/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 154.06/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2946_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4797,plain,
% 154.06/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 154.06/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_723]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_721,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2947_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4793,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_721]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_719,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2948_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4789,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_719]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_718,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2949_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4787,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_718]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_717,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2949_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4785,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_717]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_715,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2949_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4781,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_715]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4782,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4781]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_714,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2950_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4779,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_714]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_713,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2950_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4777,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_713]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_711,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.06/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2950_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4773,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.06/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_711]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4774,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4773]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_710,plain,
% 154.06/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2951_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4771,plain,
% 154.06/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_710]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_709,plain,
% 154.06/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2951_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4769,plain,
% 154.06/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_709]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_707,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.06/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2951_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4765,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.06/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_707]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4766,plain,
% 154.06/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4765]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_705,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2952_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4761,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 154.06/154.23 inference(copy,[status(esa)],[c_705]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4762,plain,
% 154.06/154.23 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 154.06/154.23 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4761]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_703,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2953_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4757,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_703]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4758,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4757]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_701,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2954_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4753,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_701]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4754,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4753]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_697,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2956_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4745,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_697]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4746,plain,
% 154.06/154.23 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4745]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_695,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Power_Opower(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2957_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4741,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Power_Opower(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_695]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4742,plain,
% 154.06/154.23 ( ~ class_Power_Opower(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4741]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_691,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2959_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4733,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_691]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4734,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4733]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_688,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2960_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4727,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_688]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4728,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4727]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_682,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2962_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4715,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_682]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_680,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2963_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4711,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_680]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_674,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2966_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4699,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_674]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_672,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2967_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4695,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_672]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_670,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.06/154.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2970_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4691,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.06/154.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_670]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4692,plain,
% 154.06/154.23 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4691]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_668,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2971_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4687,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_668]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4688,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4687]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_667,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2972_0) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4685,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_667]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_666,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2972_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4683,plain,
% 154.06/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_666]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_665,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2972_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4681,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.06/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_665]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_663,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2973_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4677,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_663]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4678,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4677]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_661,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2974_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4673,plain,
% 154.06/154.23 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 154.06/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_661]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4674,plain,
% 154.06/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.23 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4673]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_659,plain,
% 154.06/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 154.06/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2975_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4669,plain,
% 154.06/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 154.06/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_659]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_657,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2978_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4665,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_657]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_655,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2979_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4661,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_655]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4662,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4661]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_653,plain,
% 154.06/154.23 ( c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X2,X1) = c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(X0,X2,tc_nat),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2980_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4657,plain,
% 154.06/154.23 ( c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X2,X1) = c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(X0,X2,tc_nat),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_653]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4658,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.23 | c_Power_Opower__class_Opower(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X2,X0) = c_Nat_Osemiring__1__class_Oof__nat(c_Power_Opower__class_Opower(X1,X2,tc_nat),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4657]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_651,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2981_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4653,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_651]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_648,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2982_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4647,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_648]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4648,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4647]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_646,plain,
% 154.06/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2983_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4643,plain,
% 154.06/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_646]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4644,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.23 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4643]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_643,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2984_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4637,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_643]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4638,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4637]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_623,plain,
% 154.06/154.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.06/154.23 | X2 = X1 ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2991_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4597,plain,
% 154.06/154.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 154.06/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.06/154.23 | X2 = X1 ),
% 154.06/154.23 inference(copy,[status(esa)],[c_623]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_619,plain,
% 154.06/154.23 ( X0 = X1
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2992_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4589,plain,
% 154.06/154.23 ( X0 = X1
% 154.06/154.23 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_619]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4590,plain,
% 154.06/154.23 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 154.06/154.23 | X1 = X2 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4589]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_617,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2993_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4585,plain,
% 154.06/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 154.06/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_617]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4586,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.23 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4585]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_614,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2994_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4579,plain,
% 154.06/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_614]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4580,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.06/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4579]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_610,plain,
% 154.06/154.23 ( X0 = X1
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.23 | ~ class_Int_Onumber__ring(X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2995_3) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4571,plain,
% 154.06/154.23 ( X0 = X1
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.23 | ~ class_Int_Onumber__ring(X2)
% 154.06/154.23 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_610]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4572,plain,
% 154.06/154.23 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.06/154.23 | ~ class_Int_Onumber__ring(X0)
% 154.06/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.06/154.23 | X2 = X3 ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4571]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_608,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 154.06/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2996_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4567,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 154.06/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_608]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_606,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 154.06/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2997_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4563,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 154.06/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_606]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_604,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 154.06/154.23 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2998_1) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4559,plain,
% 154.06/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 154.06/154.23 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_604]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_598,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.06/154.23 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3000_2) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4547,plain,
% 154.06/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.06/154.23 inference(copy,[status(esa)],[c_598]) ).
% 154.06/154.23
% 154.06/154.23 cnf(c_4548,plain,
% 154.06/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.06/154.23 inference(rewriting,[status(thm)],[c_4547]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_595,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3001_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4541,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_595]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4542,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4541]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_592,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | ~ class_Orderings_Oorder(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3002_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4535,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | ~ class_Orderings_Oorder(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_592]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4536,plain,
% 154.06/154.24 ( ~ class_Orderings_Oorder(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4535]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_590,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3003_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4531,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_590]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_588,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3004_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4527,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_588]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4528,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4527]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_585,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3005_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4521,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_585]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4522,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4521]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_582,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3006_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4515,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_582]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4516,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4515]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_579,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3007_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4509,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_579]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4510,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 154.06/154.24 | X1 = X3 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4509]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_576,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3008_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4503,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_576]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4504,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.06/154.24 | X2 = X3 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4503]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_573,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3009_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4497,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_573]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4498,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.06/154.24 | X2 = X3 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4497]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_571,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3010_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4493,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_571]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4494,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4493]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_569,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3011_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4489,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_569]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4490,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4489]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_563,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3013_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4477,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_563]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4478,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4477]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_560,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3014_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4471,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_560]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4472,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X0 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4471]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_558,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3015_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4467,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_558]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4468,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4467]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_556,plain,
% 154.06/154.24 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3016_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4463,plain,
% 154.06/154.24 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_556]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4464,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.06/154.24 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4463]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_535,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3023_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4421,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_535]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4422,plain,
% 154.06/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.24 | X0 = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4421]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_536,plain,
% 154.06/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3023_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4423,plain,
% 154.06/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_536]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4424,plain,
% 154.06/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.06/154.24 | X1 = X0 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4423]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_530,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Odvd(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3025_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4411,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Odvd(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_530]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4412,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Odvd(X0)
% 154.06/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4411]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_528,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3026_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4407,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_528]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4408,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4407]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_526,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3027_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4403,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_526]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4404,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4403]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_524,plain,
% 154.06/154.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3029_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4399,plain,
% 154.06/154.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_524]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4400,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.06/154.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4399]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_521,plain,
% 154.06/154.24 ( c_Type_Otyping(X0,X1,X2)
% 154.06/154.24 | ~ c_Type_Otyping(X0,X3,X2)
% 154.06/154.24 | ~ c_Lambda_Obeta(X3,X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3030_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4393,plain,
% 154.06/154.24 ( c_Type_Otyping(X0,X1,X2)
% 154.06/154.24 | ~ c_Type_Otyping(X0,X3,X2)
% 154.06/154.24 | ~ c_Lambda_Obeta(X3,X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_521]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_519,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3032_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4389,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_519]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4390,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4389]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_516,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3033_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4383,plain,
% 154.06/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_516]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4384,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4383]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_513,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3035_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4377,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_513]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4378,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4377]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_503,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3039_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4357,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_503]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_497,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3041_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4345,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_497]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4346,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4345]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_494,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X0 = X1
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3042_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4339,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X0 = X1
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_494]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4340,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X0 = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4339]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_489,plain,
% 154.06/154.24 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3044_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4329,plain,
% 154.06/154.24 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_489]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4330,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4329]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_485,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3046_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4321,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_485]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4322,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 154.06/154.24 | X0 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4321]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_483,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3047_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4317,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_483]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4318,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 154.06/154.24 | X1 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4317]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_481,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3048_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4313,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_481]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4314,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4313]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_479,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3051_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4309,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_479]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4310,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4309]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_477,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3052_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4305,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_477]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_475,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3053_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4301,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_475]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4302,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4301]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_473,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3054_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4297,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_473]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4298,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4297]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_471,plain,
% 154.06/154.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3055_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4293,plain,
% 154.06/154.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_471]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4294,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4293]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_468,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3056_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4287,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_468]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4288,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4287]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_465,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3057_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4281,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_465]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4282,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4281]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_462,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3058_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4275,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_462]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4276,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4275]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_459,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3059_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4269,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_459]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4270,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4269]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_456,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3060_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4263,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_456]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4264,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4263]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_453,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3061_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4257,plain,
% 154.06/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1))
% 154.06/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_453]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4258,plain,
% 154.06/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.06/154.24 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.06/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4257]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_426,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.06/154.24 | X1 = X2
% 154.06/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3069_0) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4203,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.06/154.24 | X1 = X2
% 154.06/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_426]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4204,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.06/154.24 | X2 = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4203]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_423,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | X0 = X1
% 154.06/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3069_3) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4197,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.06/154.24 | X0 = X1
% 154.06/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_423]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4198,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.06/154.24 | X1 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4197]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_417,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3071_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4185,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_417]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4186,plain,
% 154.06/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 154.06/154.24 | X1 = X3 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4185]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_415,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3072_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4181,plain,
% 154.06/154.24 ( X0 = X1
% 154.06/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_415]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4182,plain,
% 154.06/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 154.06/154.24 | X0 = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4181]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_413,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3073_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4177,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_413]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4178,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4177]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_409,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3075_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4169,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_409]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4170,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4169]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_407,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3076_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4165,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_407]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4166,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4165]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_403,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3078_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4157,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_403]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4158,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4157]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_399,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3082_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4149,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.06/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_399]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4150,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4149]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_397,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3083_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4145,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_397]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4146,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4145]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_393,plain,
% 154.06/154.24 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3086_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4137,plain,
% 154.06/154.24 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_393]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4138,plain,
% 154.06/154.24 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4137]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_392,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3088_0) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4135,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_392]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_389,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3088_3) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4129,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_389]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4130,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4129]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_384,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3090_0) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4119,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_384]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_381,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3090_3) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4113,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_381]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4114,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4113]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_376,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3092_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4103,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | X1 = X0
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_376]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4104,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.06/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 154.06/154.24 | X1 = X0 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4103]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_372,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3093_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4095,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_372]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4096,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4095]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_364,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3097_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4079,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_364]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4080,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 154.06/154.24 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4079]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_360,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 154.06/154.24 | ~ class_Int_Onumber__ring(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3098_3) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4071,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 154.06/154.24 | ~ class_Int_Onumber__ring(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_360]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4072,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.06/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 154.06/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4071]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_353,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3101_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4057,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_353]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4058,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4057]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_328,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3109_0) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4007,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_328]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_326,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3109_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4003,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_326]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4004,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_4003]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_324,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3111_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3999,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_324]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_4000,plain,
% 154.06/154.24 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3999]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_322,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3112_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3995,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_322]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3996,plain,
% 154.06/154.24 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3995]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_320,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3113_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3991,plain,
% 154.06/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_320]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3992,plain,
% 154.06/154.24 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3991]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_317,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3114_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3985,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.06/154.24 inference(copy,[status(esa)],[c_317]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3986,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3985]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_315,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3115_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3981,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_315]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3982,plain,
% 154.06/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 154.06/154.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3981]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_303,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3121_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3957,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_303]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3958,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3957]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_301,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3122_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3953,plain,
% 154.06/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_301]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3954,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.06/154.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3953]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_299,plain,
% 154.06/154.24 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3125_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3949,plain,
% 154.06/154.24 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_299]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3950,plain,
% 154.06/154.24 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3949]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_296,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3127_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3943,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_296]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3944,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3943]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_292,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Power_Opower(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3131_3) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3935,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Power_Opower(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_292]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3936,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3935]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_290,plain,
% 154.06/154.24 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 154.06/154.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3132_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3931,plain,
% 154.06/154.24 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 154.06/154.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_290]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_287,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3133_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3925,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_287]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3926,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.06/154.24 | ~ class_Power_Opower(X0)
% 154.06/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3925]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_285,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3134_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3921,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_285]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3922,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3921]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_283,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3138_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3917,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_283]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3918,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3917]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_281,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3139_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3913,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_281]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3914,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3913]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_277,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3141_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3905,plain,
% 154.06/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 154.06/154.24 inference(copy,[status(esa)],[c_277]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3906,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 154.06/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3905]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_275,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3143_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3901,plain,
% 154.06/154.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_275]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3902,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.06/154.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3901]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_272,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3144_2) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3895,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_272]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3896,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.06/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3895]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_268,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3146_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3887,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_268]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3888,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3887]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_266,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3147_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3883,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_266]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3884,plain,
% 154.06/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3883]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_264,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3148_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3879,plain,
% 154.06/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_264]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3880,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3879]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_262,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3151_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3875,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_262]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3876,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3875]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_260,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3152_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3871,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_260]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3872,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3871]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_258,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3153_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3867,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_258]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3868,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3867]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_256,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3154_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3863,plain,
% 154.06/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_256]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3864,plain,
% 154.06/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.24 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3863]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_252,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3156_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3855,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_252]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3856,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3855]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_250,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3157_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3851,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_250]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3852,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3851]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_248,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3158_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3847,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_248]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3848,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3847]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_246,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3159_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3843,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.24 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_246]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3844,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3843]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_244,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3160_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3839,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_244]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3840,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3839]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_242,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3161_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3835,plain,
% 154.06/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_242]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3836,plain,
% 154.06/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.24 inference(rewriting,[status(thm)],[c_3835]) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_240,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.06/154.24 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3162_1) ).
% 154.06/154.24
% 154.06/154.24 cnf(c_3831,plain,
% 154.06/154.24 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.06/154.24 inference(copy,[status(esa)],[c_240]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3832,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.06/154.25 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3831]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_237,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.25 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3165_2) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3825,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.25 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_237]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3826,plain,
% 154.06/154.25 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.25 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3825]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_235,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3166_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3821,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_235]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3822,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3821]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_233,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3167_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3817,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_233]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3818,plain,
% 154.06/154.25 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.25 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3817]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_231,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Power_Opower(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3168_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3813,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.06/154.25 | ~ class_Power_Opower(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_231]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3814,plain,
% 154.06/154.25 ( ~ class_Power_Opower(X0)
% 154.06/154.25 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3813]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_229,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3169_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3809,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_229]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3810,plain,
% 154.06/154.25 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.25 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3809]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_225,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3171_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3801,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_225]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3802,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3801]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_223,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3172_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3797,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_223]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3798,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3797]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_221,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3173_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3793,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_221]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3794,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3793]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_219,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3174_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3789,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_219]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3790,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3789]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_217,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3175_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3785,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_217]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3786,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3785]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_215,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3177_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3781,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_215]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3782,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3781]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_213,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3178_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3777,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_213]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3778,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3777]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_211,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3180_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3773,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_211]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3774,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3773]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_209,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3181_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3769,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_209]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3770,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.06/154.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3769]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_207,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3182_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3765,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.06/154.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_207]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3766,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.06/154.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3765]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_205,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3184_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3761,plain,
% 154.06/154.25 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.06/154.25 | ~ class_Divides_Osemiring__div(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_205]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3762,plain,
% 154.06/154.25 ( ~ class_Divides_Osemiring__div(X0)
% 154.06/154.25 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3761]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_203,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3185_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3757,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_203]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3758,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.06/154.25 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3757]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_201,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3186_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3753,plain,
% 154.06/154.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_201]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3754,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3753]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_199,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3193_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3749,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.06/154.25 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_199]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3750,plain,
% 154.06/154.25 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.06/154.25 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3749]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_197,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3196_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3745,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 154.06/154.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_197]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3746,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.06/154.25 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3745]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_195,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3200_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3741,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_195]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3742,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.06/154.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3741]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_192,plain,
% 154.06/154.25 ( X0 = X1
% 154.06/154.25 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.06/154.25 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3213_2) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3735,plain,
% 154.06/154.25 ( X0 = X1
% 154.06/154.25 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.06/154.25 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_192]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3736,plain,
% 154.06/154.25 ( ~ class_Nat_Osemiring__char__0(X0)
% 154.06/154.25 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 154.06/154.25 | X1 = X2 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3735]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_190,plain,
% 154.06/154.25 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.06/154.25 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3220_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3731,plain,
% 154.06/154.25 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.06/154.25 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_190]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_188,plain,
% 154.06/154.25 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3222_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3727,plain,
% 154.06/154.25 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_188]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_186,plain,
% 154.06/154.25 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 154.06/154.25 | ~ class_Orderings_Opreorder(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3223_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3723,plain,
% 154.06/154.25 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 154.06/154.25 | ~ class_Orderings_Opreorder(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_186]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_184,plain,
% 154.06/154.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3225_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3719,plain,
% 154.06/154.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_184]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3720,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.25 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3719]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_182,plain,
% 154.06/154.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3226_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3715,plain,
% 154.06/154.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_182]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3716,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.06/154.25 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3715]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_178,plain,
% 154.06/154.25 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3232_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3707,plain,
% 154.06/154.25 ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 154.06/154.25 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_178]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3708,plain,
% 154.06/154.25 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.06/154.25 | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3707]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_174,plain,
% 154.06/154.25 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3234_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3699,plain,
% 154.06/154.25 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_174]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3700,plain,
% 154.06/154.25 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3699]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_172,plain,
% 154.06/154.25 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3235_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3695,plain,
% 154.06/154.25 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_172]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3696,plain,
% 154.06/154.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3695]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_170,plain,
% 154.06/154.25 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3236_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3691,plain,
% 154.06/154.25 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_170]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3692,plain,
% 154.06/154.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3691]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_168,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0 ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3237_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3687,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0 ),
% 154.06/154.25 inference(copy,[status(esa)],[c_168]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3688,plain,
% 154.06/154.25 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0
% 154.06/154.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3687]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_166,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0 ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3238_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3683,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0 ),
% 154.06/154.25 inference(copy,[status(esa)],[c_166]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3684,plain,
% 154.06/154.25 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0
% 154.06/154.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3683]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_164,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3239_1) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3679,plain,
% 154.06/154.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.06/154.25 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 154.06/154.25 inference(copy,[status(esa)],[c_164]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3680,plain,
% 154.06/154.25 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0
% 154.06/154.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 inference(rewriting,[status(thm)],[c_3679]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_163,plain,
% 154.06/154.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2642_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3677,plain,
% 154.06/154.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_163]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_162,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2655_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3675,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_162]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_161,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2968_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3673,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_161]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_160,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2969_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3671,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_160]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_159,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3110_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3669,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_159]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_157,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3124_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3665,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_157]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_155,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3130_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3661,plain,
% 154.06/154.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_155]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_154,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3188_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3659,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_154]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_153,plain,
% 154.06/154.25 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3189_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3657,plain,
% 154.06/154.25 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_153]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_152,plain,
% 154.06/154.25 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3190_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3655,plain,
% 154.06/154.25 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_152]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_151,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3191_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3653,plain,
% 154.06/154.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_151]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_150,plain,
% 154.06/154.25 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3224_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3651,plain,
% 154.06/154.25 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_150]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_149,plain,
% 154.06/154.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3240_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3649,plain,
% 154.06/154.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_149]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_148,plain,
% 154.06/154.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3241_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3647,plain,
% 154.06/154.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_148]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_144,plain,
% 154.06/154.25 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3246_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3639,plain,
% 154.06/154.25 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_144]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_142,plain,
% 154.06/154.25 ( c_Suc(X0) != X0 ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3249_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3635,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_142]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_141,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2625_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3633,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_141]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_137,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2633_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3628,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_137]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_135,plain,
% 154.06/154.25 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2651_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3625,plain,
% 154.06/154.25 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_135]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_119,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2703_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3607,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_119]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_97,plain,
% 154.06/154.25 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2909_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3584,plain,
% 154.06/154.25 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_97]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_95,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2919_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3581,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_95]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_94,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2920_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3579,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_94]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_90,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2944_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3573,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_90]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_89,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_2945_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3571,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_89]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_86,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3028_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3567,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_86]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_80,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3079_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3560,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_80]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_79,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3080_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3558,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_79]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_76,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3096_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3554,plain,
% 154.06/154.25 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_76]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_75,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3116_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3552,plain,
% 154.06/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_75]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_74,plain,
% 154.06/154.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3126_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3550,plain,
% 154.06/154.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_74]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_58,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3195_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3529,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_58]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_55,plain,
% 154.06/154.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3199_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3525,plain,
% 154.06/154.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_55]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_53,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3202_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3521,plain,
% 154.06/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_53]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_52,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3203_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3519,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_52]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_43,plain,
% 154.06/154.25 ( c_fequal(X0,X0,X1) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3212_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3509,plain,
% 154.06/154.25 ( c_fequal(X0,X0,X1) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_43]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_41,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3215_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3506,plain,
% 154.06/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_41]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_39,plain,
% 154.06/154.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3217_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3503,plain,
% 154.06/154.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_39]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_36,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3221_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3499,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_36]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_35,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3227_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3497,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_35]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_34,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3228_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3495,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_34]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_33,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3229_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3493,plain,
% 154.06/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_33]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_29,plain,
% 154.06/154.25 ( class_Power_Opower(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3250_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3488,plain,
% 154.06/154.25 ( class_Power_Opower(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_29]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_28,plain,
% 154.06/154.25 ( class_Orderings_Oorder(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3251_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3486,plain,
% 154.06/154.25 ( class_Orderings_Oorder(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_28]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_27,plain,
% 154.06/154.25 ( class_Orderings_Olinorder(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3252_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3484,plain,
% 154.06/154.25 ( class_Orderings_Olinorder(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_27]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_26,plain,
% 154.06/154.25 ( class_Orderings_Opreorder(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3253_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3482,plain,
% 154.06/154.25 ( class_Orderings_Opreorder(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_26]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_25,plain,
% 154.06/154.25 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3254_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3480,plain,
% 154.06/154.25 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_25]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_24,plain,
% 154.06/154.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3255_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3478,plain,
% 154.06/154.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_24]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_23,plain,
% 154.06/154.25 ( class_Divides_Osemiring__div(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3256_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3476,plain,
% 154.06/154.25 ( class_Divides_Osemiring__div(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_23]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_22,plain,
% 154.06/154.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3257_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3474,plain,
% 154.06/154.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_22]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_21,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3258_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3472,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_21]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_20,plain,
% 154.06/154.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3259_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3470,plain,
% 154.06/154.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_20]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_19,plain,
% 154.06/154.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3260_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3468,plain,
% 154.06/154.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_19]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_18,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3261_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3466,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_18]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_17,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3262_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3464,plain,
% 154.06/154.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_17]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_16,plain,
% 154.06/154.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3263_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3462,plain,
% 154.06/154.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_16]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_15,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3264_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3460,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_15]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_14,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3265_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3458,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_14]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_13,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3266_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3456,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_13]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_12,plain,
% 154.06/154.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3267_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3454,plain,
% 154.06/154.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_12]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_11,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3268_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3452,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_11]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_10,plain,
% 154.06/154.25 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3269_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3450,plain,
% 154.06/154.25 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_10]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_9,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3270_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3448,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_9]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_8,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3271_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3446,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_8]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_7,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3272_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3444,plain,
% 154.06/154.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_7]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_6,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3273_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3442,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_6]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_5,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3274_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3440,plain,
% 154.06/154.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_5]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_4,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3275_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3438,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_4]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3276_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3436,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_3]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_2,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3277_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3434,plain,
% 154.06/154.25 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_2]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_1,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3278_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3432,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_1]) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_0,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.06/154.25 file('/export/starexec/sandbox/tmp/iprover_modulo_74f804.p', c_0_3279_0) ).
% 154.06/154.25
% 154.06/154.25 cnf(c_3430,plain,
% 154.06/154.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.06/154.25 inference(copy,[status(esa)],[c_0]) ).
% 154.06/154.25
% 154.06/154.25
% 154.06/154.25
% 154.06/154.25 % ------ Statistics
% 154.06/154.25
% 154.06/154.25 % ------ General
% 154.06/154.25
% 154.06/154.25 % num_of_input_clauses: 1484
% 154.06/154.25 % num_of_input_neg_conjectures: 1
% 154.06/154.25 % num_of_splits: 0
% 154.06/154.25 % num_of_split_atoms: 0
% 154.06/154.25 % num_of_sem_filtered_clauses: 0
% 154.06/154.25 % num_of_subtypes: 0
% 154.06/154.25 % monotx_restored_types: 0
% 154.06/154.25 % sat_num_of_epr_types: 0
% 154.06/154.25 % sat_num_of_non_cyclic_types: 0
% 154.06/154.25 % sat_guarded_non_collapsed_types: 0
% 154.06/154.25 % is_epr: 0
% 154.06/154.25 % is_horn: 0
% 154.06/154.25 % has_eq: 1
% 154.06/154.25 % num_pure_diseq_elim: 0
% 154.06/154.25 % simp_replaced_by: 0
% 154.06/154.25 % res_preprocessed: 2
% 154.06/154.25 % prep_upred: 0
% 154.06/154.25 % prep_unflattend: 0
% 154.06/154.25 % pred_elim_cands: 0
% 154.06/154.25 % pred_elim: 0
% 154.06/154.25 % pred_elim_cl: 0
% 154.06/154.25 % pred_elim_cycles: 0
% 154.06/154.25 % forced_gc_time: 0
% 154.06/154.25 % gc_basic_clause_elim: 0
% 154.06/154.25 % parsing_time: 0.088
% 154.06/154.25 % sem_filter_time: 0.
% 154.06/154.25 % pred_elim_time: 0.
% 154.06/154.25 % out_proof_time: 0.
% 154.06/154.25 % monotx_time: 0.
% 154.06/154.25 % subtype_inf_time: 0.
% 154.06/154.25 % unif_index_cands_time: 0.
% 154.06/154.25 % unif_index_add_time: 0.001
% 154.06/154.25 % total_time: 3.6
% 154.06/154.25 % num_of_symbols: 123
% 154.06/154.25 % num_of_terms: 3594
% 154.06/154.25
% 154.06/154.25 % ------ Propositional Solver
% 154.06/154.25
% 154.06/154.25 % prop_solver_calls: 1
% 154.06/154.25 % prop_fast_solver_calls: 3
% 154.06/154.25 % prop_num_of_clauses: 1380
% 154.06/154.25 % prop_preprocess_simplified: 4462
% 154.06/154.25 % prop_fo_subsumed: 0
% 154.06/154.25 % prop_solver_time: 0.
% 154.06/154.25 % prop_fast_solver_time: 0.
% 154.06/154.25 % prop_unsat_core_time: 0.
% 154.06/154.25
% 154.06/154.25 % ------ QBF
% 154.06/154.25
% 154.06/154.25 % qbf_q_res: 0
% 154.06/154.25 % qbf_num_tautologies: 0
% 154.06/154.25 % qbf_prep_cycles: 0
% 154.06/154.25
% 154.06/154.25 % ------ BMC1
% 154.06/154.25
% 154.06/154.25 % bmc1_current_bound: -1
% 154.06/154.25 % bmc1_last_solved_bound: -1
% 154.06/154.25 % bmc1_unsat_core_size: -1
% 154.06/154.25 % bmc1_unsat_core_parents_size: -1
% 154.06/154.25 % bmc1_merge_next_fun: 0
% 154.06/154.25 % bmc1_unsat_core_clauses_time: 0.
% 154.06/154.25
% 154.06/154.25 % ------ Instantiation
% 154.06/154.25
% 154.06/154.25 % inst_num_of_clauses: 1337
% 154.06/154.25 % inst_num_in_passive: 0
% 154.06/154.25 % inst_num_in_active: 0
% 154.06/154.25 % inst_num_in_unprocessed: 1484
% 154.06/154.25 % inst_num_of_loops: 0
% 154.06/154.25 % inst_num_of_learning_restarts: 0
% 154.06/154.25 % inst_num_moves_active_passive: 0
% 154.06/154.25 % inst_lit_activity: 0
% 154.06/154.25 % inst_lit_activity_moves: 0
% 154.06/154.25 % inst_num_tautologies: 0
% 154.06/154.25 % inst_num_prop_implied: 0
% 154.06/154.25 % inst_num_existing_simplified: 0
% 154.06/154.25 % inst_num_eq_res_simplified: 0
% 154.06/154.25 % inst_num_child_elim: 0
% 154.06/154.25 % inst_num_of_dismatching_blockings: 0
% 154.06/154.25 % inst_num_of_non_proper_insts: 0
% 154.06/154.25 % inst_num_of_duplicates: 0
% 154.06/154.25 % inst_inst_num_from_inst_to_res: 0
% 154.06/154.25 % inst_dismatching_checking_time: 0.
% 154.06/154.25
% 154.06/154.25 % ------ Resolution
% 154.06/154.25
% 154.06/154.25 % res_num_of_clauses: 1435
% 154.06/154.25 % res_num_in_passive: 0
% 154.06/154.25 % res_num_in_active: 564
% 154.06/154.25 % res_num_of_loops: 2
% 154.06/154.25 % res_forward_subset_subsumed: 841
% 154.06/154.25 % res_backward_subset_subsumed: 0
% 154.06/154.25 % res_forward_subsumed: 0
% 154.06/154.25 % res_backward_subsumed: 0
% 154.06/154.25 % res_forward_subsumption_resolution: 0
% 154.06/154.25 % res_backward_subsumption_resolution: 0
% 154.06/154.25 % res_clause_to_clause_subsumption: 0
% 154.06/154.25 % res_orphan_elimination: 0
% 154.06/154.25 % res_tautology_del: 0
% 154.06/154.25 % res_num_eq_res_simplified: 0
% 154.06/154.25 % res_num_sel_changes: 0
% 154.06/154.25 % res_moves_from_active_to_pass: 0
% 154.06/154.25
% 154.06/154.25 % Status Unknown
% 154.06/154.25 % Last status :
% 154.06/154.25 % SZS status Unknown
%------------------------------------------------------------------------------