TSTP Solution File: LCL833-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL833-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.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 11:40:28 EDT 2022
% Result : Unknown 154.08s 154.25s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL833-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 3 04:56:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.34/0.52 % Orienting using strategy Equiv(ClausalAll)
% 0.34/0.52 % Orientation found
% 0.34/0.52 % 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/sandbox2/tmp/iprover_proof_4a8a3e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0c8d7e | grep -v "SZS"
% 0.38/0.55
% 0.38/0.55 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.38/0.55
% 0.38/0.55 %
% 0.38/0.55 % ------ iProver source info
% 0.38/0.55
% 0.38/0.55 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.38/0.55 % git: non_committed_changes: true
% 0.38/0.55 % git: last_make_outside_of_git: true
% 0.38/0.55
% 0.38/0.55 %
% 0.38/0.55 % ------ Input Options
% 0.38/0.55
% 0.38/0.55 % --out_options all
% 0.38/0.55 % --tptp_safe_out true
% 0.38/0.55 % --problem_path ""
% 0.38/0.55 % --include_path ""
% 0.38/0.55 % --clausifier .//eprover
% 0.38/0.55 % --clausifier_options --tstp-format
% 0.38/0.55 % --stdin false
% 0.38/0.55 % --dbg_backtrace false
% 0.38/0.55 % --dbg_dump_prop_clauses false
% 0.38/0.55 % --dbg_dump_prop_clauses_file -
% 0.38/0.55 % --dbg_out_stat false
% 0.38/0.55
% 0.38/0.55 % ------ General Options
% 0.38/0.55
% 0.38/0.55 % --fof false
% 0.38/0.55 % --time_out_real 150.
% 0.38/0.55 % --time_out_prep_mult 0.2
% 0.38/0.55 % --time_out_virtual -1.
% 0.38/0.55 % --schedule none
% 0.38/0.55 % --ground_splitting input
% 0.38/0.55 % --splitting_nvd 16
% 0.38/0.55 % --non_eq_to_eq false
% 0.38/0.55 % --prep_gs_sim true
% 0.38/0.55 % --prep_unflatten false
% 0.38/0.55 % --prep_res_sim true
% 0.38/0.55 % --prep_upred true
% 0.38/0.55 % --res_sim_input true
% 0.38/0.55 % --clause_weak_htbl true
% 0.38/0.55 % --gc_record_bc_elim false
% 0.38/0.55 % --symbol_type_check false
% 0.38/0.55 % --clausify_out false
% 0.38/0.55 % --large_theory_mode false
% 0.38/0.55 % --prep_sem_filter none
% 0.38/0.55 % --prep_sem_filter_out false
% 0.38/0.55 % --preprocessed_out false
% 0.38/0.55 % --sub_typing false
% 0.38/0.55 % --brand_transform false
% 0.38/0.55 % --pure_diseq_elim true
% 0.38/0.55 % --min_unsat_core false
% 0.38/0.55 % --pred_elim true
% 0.38/0.55 % --add_important_lit false
% 0.38/0.55 % --soft_assumptions false
% 0.38/0.55 % --reset_solvers false
% 0.38/0.55 % --bc_imp_inh []
% 0.38/0.55 % --conj_cone_tolerance 1.5
% 0.38/0.55 % --prolific_symb_bound 500
% 0.38/0.55 % --lt_threshold 2000
% 0.38/0.55
% 0.38/0.55 % ------ SAT Options
% 0.38/0.55
% 0.38/0.55 % --sat_mode false
% 0.38/0.55 % --sat_fm_restart_options ""
% 0.38/0.55 % --sat_gr_def false
% 0.38/0.55 % --sat_epr_types true
% 0.38/0.55 % --sat_non_cyclic_types false
% 0.38/0.55 % --sat_finite_models false
% 0.38/0.55 % --sat_fm_lemmas false
% 0.38/0.55 % --sat_fm_prep false
% 0.38/0.55 % --sat_fm_uc_incr true
% 0.38/0.55 % --sat_out_model small
% 0.38/0.55 % --sat_out_clauses false
% 0.38/0.55
% 0.38/0.55 % ------ QBF Options
% 0.38/0.55
% 0.38/0.55 % --qbf_mode false
% 0.38/0.55 % --qbf_elim_univ true
% 0.38/0.55 % --qbf_sk_in true
% 0.38/0.55 % --qbf_pred_elim true
% 0.38/0.55 % --qbf_split 32
% 0.38/0.55
% 0.38/0.55 % ------ BMC1 Options
% 0.38/0.55
% 0.38/0.55 % --bmc1_incremental false
% 0.38/0.55 % --bmc1_axioms reachable_all
% 0.38/0.55 % --bmc1_min_bound 0
% 0.38/0.55 % --bmc1_max_bound -1
% 0.38/0.55 % --bmc1_max_bound_default -1
% 0.38/0.55 % --bmc1_symbol_reachability true
% 0.38/0.55 % --bmc1_property_lemmas false
% 0.38/0.55 % --bmc1_k_induction false
% 0.38/0.55 % --bmc1_non_equiv_states false
% 0.38/0.55 % --bmc1_deadlock false
% 0.38/0.55 % --bmc1_ucm false
% 0.38/0.55 % --bmc1_add_unsat_core none
% 0.38/0.55 % --bmc1_unsat_core_children false
% 0.38/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.38/0.55 % --bmc1_out_stat full
% 0.38/0.55 % --bmc1_ground_init false
% 0.38/0.55 % --bmc1_pre_inst_next_state false
% 0.38/0.55 % --bmc1_pre_inst_state false
% 0.38/0.55 % --bmc1_pre_inst_reach_state false
% 0.38/0.55 % --bmc1_out_unsat_core false
% 0.38/0.55 % --bmc1_aig_witness_out false
% 0.38/0.55 % --bmc1_verbose false
% 0.38/0.55 % --bmc1_dump_clauses_tptp false
% 150.35/150.55 % --bmc1_dump_unsat_core_tptp false
% 150.35/150.55 % --bmc1_dump_file -
% 150.35/150.55 % --bmc1_ucm_expand_uc_limit 128
% 150.35/150.55 % --bmc1_ucm_n_expand_iterations 6
% 150.35/150.55 % --bmc1_ucm_extend_mode 1
% 150.35/150.55 % --bmc1_ucm_init_mode 2
% 150.35/150.55 % --bmc1_ucm_cone_mode none
% 150.35/150.55 % --bmc1_ucm_reduced_relation_type 0
% 150.35/150.55 % --bmc1_ucm_relax_model 4
% 150.35/150.55 % --bmc1_ucm_full_tr_after_sat true
% 150.35/150.55 % --bmc1_ucm_expand_neg_assumptions false
% 150.35/150.55 % --bmc1_ucm_layered_model none
% 150.35/150.55 % --bmc1_ucm_max_lemma_size 10
% 150.35/150.55
% 150.35/150.55 % ------ AIG Options
% 150.35/150.55
% 150.35/150.55 % --aig_mode false
% 150.35/150.55
% 150.35/150.55 % ------ Instantiation Options
% 150.35/150.55
% 150.35/150.55 % --instantiation_flag true
% 150.35/150.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.35/150.55 % --inst_solver_per_active 750
% 150.35/150.55 % --inst_solver_calls_frac 0.5
% 150.35/150.55 % --inst_passive_queue_type priority_queues
% 150.35/150.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.35/150.55 % --inst_passive_queues_freq [25;2]
% 150.35/150.55 % --inst_dismatching true
% 150.35/150.55 % --inst_eager_unprocessed_to_passive true
% 150.35/150.55 % --inst_prop_sim_given true
% 150.35/150.55 % --inst_prop_sim_new false
% 150.35/150.55 % --inst_orphan_elimination true
% 150.35/150.55 % --inst_learning_loop_flag true
% 150.35/150.55 % --inst_learning_start 3000
% 150.35/150.55 % --inst_learning_factor 2
% 150.35/150.55 % --inst_start_prop_sim_after_learn 3
% 150.35/150.55 % --inst_sel_renew solver
% 150.35/150.55 % --inst_lit_activity_flag true
% 150.35/150.55 % --inst_out_proof true
% 150.35/150.55
% 150.35/150.55 % ------ Resolution Options
% 150.35/150.55
% 150.35/150.55 % --resolution_flag true
% 150.35/150.55 % --res_lit_sel kbo_max
% 150.35/150.55 % --res_to_prop_solver none
% 150.35/150.55 % --res_prop_simpl_new false
% 150.35/150.55 % --res_prop_simpl_given false
% 150.35/150.55 % --res_passive_queue_type priority_queues
% 150.35/150.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.35/150.55 % --res_passive_queues_freq [15;5]
% 150.35/150.55 % --res_forward_subs full
% 150.35/150.55 % --res_backward_subs full
% 150.35/150.55 % --res_forward_subs_resolution true
% 150.35/150.55 % --res_backward_subs_resolution true
% 150.35/150.55 % --res_orphan_elimination false
% 150.35/150.55 % --res_time_limit 1000.
% 150.35/150.55 % --res_out_proof true
% 150.35/150.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_4a8a3e.s
% 150.35/150.55 % --modulo true
% 150.35/150.55
% 150.35/150.55 % ------ Combination Options
% 150.35/150.55
% 150.35/150.55 % --comb_res_mult 1000
% 150.35/150.55 % --comb_inst_mult 300
% 150.35/150.55 % ------
% 150.35/150.55
% 150.35/150.55 % ------ Parsing...% successful
% 150.35/150.55
% 150.35/150.55 % ------ 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 %
% 150.35/150.55
% 150.35/150.55 % ------ Proving...
% 150.35/150.55 % ------ Problem Properties
% 150.35/150.55
% 150.35/150.55 %
% 150.35/150.55 % EPR false
% 150.35/150.55 % Horn false
% 150.35/150.55 % Has equality true
% 150.35/150.55
% 150.35/150.55 % % ------ Input Options Time Limit: Unbounded
% 150.35/150.55
% 150.35/150.55
% 150.35/150.55 Compiling...
% 150.35/150.55 Loading plugin: done.
% 150.35/150.55 %
% 150.35/150.55
% 150.35/150.55
% 150.35/150.55 % Time Out Real
% 150.35/150.55
% 150.35/150.55 % ------ Statistics
% 150.35/150.55
% 150.35/150.55 % ------ General
% 150.35/150.55
% 150.35/150.55 % num_of_input_clauses: 1464
% 150.35/150.55 % num_of_input_neg_conjectures: 1
% 150.35/150.55 % num_of_splits: 0
% 150.35/150.55 % num_of_split_atoms: 0
% 150.35/150.55 % num_of_sem_filtered_clauses: 0
% 150.35/150.55 % num_of_subtypes: 0
% 150.35/150.55 % monotx_restored_types: 0
% 150.35/150.55 % sat_num_of_epr_types: 0
% 150.35/150.55 % sat_num_of_non_cyclic_types: 0
% 150.35/150.55 % sat_guarded_non_collapsed_types: 0
% 150.35/150.55 % is_epr: 0
% 150.35/150.55 % is_horn: 0
% 150.35/150.55 % has_eq: 1
% 150.35/150.55 % num_pure_diseq_elim: 0
% 150.35/150.55 % simp_replaced_by: 0
% 150.35/150.55 % res_preprocessed: 2
% 150.35/150.55 % prep_upred: 0
% 150.35/150.55 % prep_unflattend: 0
% 150.35/150.55 % pred_elim_cands: 0
% 150.35/150.55 % pred_elim: 0
% 150.35/150.55 % pred_elim_cl: 0
% 150.35/150.55 % pred_elim_cycles: 0
% 150.35/150.56 % forced_gc_time: 0
% 150.35/150.56 % gc_basic_clause_elim: 0
% 150.35/150.56 % parsing_time: 0.082
% 150.35/150.56 % sem_filter_time: 0.
% 150.35/150.56 % pred_elim_time: 0.
% 150.35/150.56 % out_proof_time: 0.
% 150.35/150.56 % monotx_time: 0.
% 150.35/150.56 % subtype_inf_time: 0.
% 150.35/150.56 % unif_index_cands_time: 0.
% 150.35/150.56 % unif_index_add_time: 0.
% 150.35/150.56 % total_time: 150.021
% 150.35/150.56 % num_of_symbols: 118
% 150.35/150.56 % num_of_terms: 4421
% 150.35/150.56
% 150.35/150.56 % ------ Propositional Solver
% 150.35/150.56
% 150.35/150.56 % prop_solver_calls: 1
% 150.35/150.56 % prop_fast_solver_calls: 3
% 150.35/150.56 % prop_num_of_clauses: 1248
% 150.35/150.56 % prop_preprocess_simplified: 4518
% 150.35/150.56 % prop_fo_subsumed: 0
% 150.35/150.56 % prop_solver_time: 0.
% 150.35/150.56 % prop_fast_solver_time: 0.
% 150.35/150.56 % prop_unsat_core_time: 0.
% 150.35/150.56
% 150.35/150.56 % ------ QBF
% 150.35/150.56
% 150.35/150.56 % qbf_q_res: 0
% 150.35/150.56 % qbf_num_tautologies: 0
% 150.35/150.56 % qbf_prep_cycles: 0
% 150.35/150.56
% 150.35/150.56 % ------ BMC1
% 150.35/150.56
% 150.35/150.56 % bmc1_current_bound: -1
% 150.35/150.56 % bmc1_last_solved_bound: -1
% 150.35/150.56 % bmc1_unsat_core_size: -1
% 150.35/150.56 % bmc1_unsat_core_parents_size: -1
% 150.35/150.56 % bmc1_merge_next_fun: 0
% 150.35/150.56 % bmc1_unsat_core_clauses_time: 0.
% 150.35/150.56
% 150.35/150.56 % ------ Instantiation
% 150.35/150.56
% 150.35/150.56 % inst_num_of_clauses: 1324
% 150.35/150.56 % inst_num_in_passive: 0
% 150.35/150.56 % inst_num_in_active: 0
% 150.35/150.56 % inst_num_in_unprocessed: 1464
% 150.35/150.56 % inst_num_of_loops: 0
% 150.35/150.56 % inst_num_of_learning_restarts: 0
% 150.35/150.56 % inst_num_moves_active_passive: 0
% 150.35/150.56 % inst_lit_activity: 0
% 150.35/150.56 % inst_lit_activity_moves: 0
% 150.35/150.56 % inst_num_tautologies: 0
% 150.35/150.56 % inst_num_prop_implied: 0
% 150.35/150.56 % inst_num_existing_simplified: 0
% 150.35/150.56 % inst_num_eq_res_simplified: 0
% 150.35/150.56 % inst_num_child_elim: 0
% 150.35/150.56 % inst_num_of_dismatching_blockings: 0
% 150.35/150.56 % inst_num_of_non_proper_insts: 0
% 150.35/150.56 % inst_num_of_duplicates: 0
% 150.35/150.56 % inst_inst_num_from_inst_to_res: 0
% 150.35/150.56 % inst_dismatching_checking_time: 0.
% 150.35/150.56
% 150.35/150.56 % ------ Resolution
% 150.35/150.56
% 150.35/150.56 % res_num_of_clauses: 1284
% 150.35/150.56 % res_num_in_passive: 0
% 150.35/150.56 % res_num_in_active: 491
% 150.35/150.56 % res_num_of_loops: 0
% 150.35/150.56 % res_forward_subset_subsumed: 808
% 150.35/150.56 % res_backward_subset_subsumed: 8
% 150.35/150.56 % res_forward_subsumed: 0
% 150.35/150.56 % res_backward_subsumed: 0
% 150.35/150.56 % res_forward_subsumption_resolution: 0
% 150.35/150.56 % res_backward_subsumption_resolution: 0
% 150.35/150.56 % res_clause_to_clause_subsumption: 0
% 150.35/150.56 % res_orphan_elimination: 0
% 150.35/150.56 % res_tautology_del: 0
% 150.35/150.56 % res_num_eq_res_simplified: 0
% 150.35/150.56 % res_num_sel_changes: 0
% 150.35/150.56 % res_moves_from_active_to_pass: 0
% 150.35/150.56
% 150.35/150.56 % Status Unknown
% 150.41/150.72 % Orienting using strategy ClausalAll
% 150.41/150.72 % Orientation found
% 150.41/150.72 % 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/sandbox2/tmp/iprover_proof_4a8a3e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_361c82 | grep -v "SZS"
% 150.41/150.75
% 150.41/150.75 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.41/150.75
% 150.41/150.75 %
% 150.41/150.75 % ------ iProver source info
% 150.41/150.75
% 150.41/150.75 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.41/150.75 % git: non_committed_changes: true
% 150.41/150.75 % git: last_make_outside_of_git: true
% 150.41/150.75
% 150.41/150.75 %
% 150.41/150.75 % ------ Input Options
% 150.41/150.75
% 150.41/150.75 % --out_options all
% 150.41/150.75 % --tptp_safe_out true
% 150.41/150.75 % --problem_path ""
% 150.41/150.75 % --include_path ""
% 150.41/150.75 % --clausifier .//eprover
% 150.41/150.75 % --clausifier_options --tstp-format
% 150.41/150.75 % --stdin false
% 150.41/150.75 % --dbg_backtrace false
% 150.41/150.75 % --dbg_dump_prop_clauses false
% 150.41/150.75 % --dbg_dump_prop_clauses_file -
% 150.41/150.75 % --dbg_out_stat false
% 150.41/150.75
% 150.41/150.75 % ------ General Options
% 150.41/150.75
% 150.41/150.75 % --fof false
% 150.41/150.75 % --time_out_real 150.
% 150.41/150.75 % --time_out_prep_mult 0.2
% 150.41/150.75 % --time_out_virtual -1.
% 150.41/150.75 % --schedule none
% 150.41/150.75 % --ground_splitting input
% 150.41/150.75 % --splitting_nvd 16
% 150.41/150.75 % --non_eq_to_eq false
% 150.41/150.75 % --prep_gs_sim true
% 150.41/150.75 % --prep_unflatten false
% 150.41/150.75 % --prep_res_sim true
% 150.41/150.75 % --prep_upred true
% 150.41/150.75 % --res_sim_input true
% 150.41/150.75 % --clause_weak_htbl true
% 150.41/150.75 % --gc_record_bc_elim false
% 150.41/150.75 % --symbol_type_check false
% 150.41/150.75 % --clausify_out false
% 150.41/150.75 % --large_theory_mode false
% 150.41/150.75 % --prep_sem_filter none
% 150.41/150.75 % --prep_sem_filter_out false
% 150.41/150.75 % --preprocessed_out false
% 150.41/150.75 % --sub_typing false
% 150.41/150.75 % --brand_transform false
% 150.41/150.75 % --pure_diseq_elim true
% 150.41/150.75 % --min_unsat_core false
% 150.41/150.75 % --pred_elim true
% 150.41/150.75 % --add_important_lit false
% 150.41/150.75 % --soft_assumptions false
% 150.41/150.75 % --reset_solvers false
% 150.41/150.75 % --bc_imp_inh []
% 150.41/150.75 % --conj_cone_tolerance 1.5
% 150.41/150.75 % --prolific_symb_bound 500
% 150.41/150.75 % --lt_threshold 2000
% 150.41/150.75
% 150.41/150.75 % ------ SAT Options
% 150.41/150.75
% 150.41/150.75 % --sat_mode false
% 150.41/150.75 % --sat_fm_restart_options ""
% 150.41/150.75 % --sat_gr_def false
% 150.41/150.75 % --sat_epr_types true
% 150.41/150.75 % --sat_non_cyclic_types false
% 150.41/150.75 % --sat_finite_models false
% 150.41/150.75 % --sat_fm_lemmas false
% 150.41/150.75 % --sat_fm_prep false
% 150.41/150.75 % --sat_fm_uc_incr true
% 150.41/150.75 % --sat_out_model small
% 150.41/150.75 % --sat_out_clauses false
% 150.41/150.75
% 150.41/150.75 % ------ QBF Options
% 150.41/150.75
% 150.41/150.75 % --qbf_mode false
% 150.41/150.75 % --qbf_elim_univ true
% 150.41/150.75 % --qbf_sk_in true
% 150.41/150.75 % --qbf_pred_elim true
% 150.41/150.75 % --qbf_split 32
% 150.41/150.75
% 150.41/150.75 % ------ BMC1 Options
% 150.41/150.75
% 150.41/150.75 % --bmc1_incremental false
% 150.41/150.75 % --bmc1_axioms reachable_all
% 150.41/150.75 % --bmc1_min_bound 0
% 150.41/150.75 % --bmc1_max_bound -1
% 150.41/150.75 % --bmc1_max_bound_default -1
% 150.41/150.75 % --bmc1_symbol_reachability true
% 150.41/150.75 % --bmc1_property_lemmas false
% 150.41/150.75 % --bmc1_k_induction false
% 150.41/150.75 % --bmc1_non_equiv_states false
% 150.41/150.75 % --bmc1_deadlock false
% 150.41/150.75 % --bmc1_ucm false
% 150.41/150.75 % --bmc1_add_unsat_core none
% 150.41/150.75 % --bmc1_unsat_core_children false
% 150.41/150.75 % --bmc1_unsat_core_extrapolate_axioms false
% 150.41/150.75 % --bmc1_out_stat full
% 150.41/150.75 % --bmc1_ground_init false
% 150.41/150.75 % --bmc1_pre_inst_next_state false
% 150.41/150.75 % --bmc1_pre_inst_state false
% 150.41/150.75 % --bmc1_pre_inst_reach_state false
% 150.41/150.75 % --bmc1_out_unsat_core false
% 150.41/150.75 % --bmc1_aig_witness_out false
% 150.41/150.75 % --bmc1_verbose false
% 150.41/150.75 % --bmc1_dump_clauses_tptp false
% 153.99/154.17 % --bmc1_dump_unsat_core_tptp false
% 153.99/154.17 % --bmc1_dump_file -
% 153.99/154.17 % --bmc1_ucm_expand_uc_limit 128
% 153.99/154.17 % --bmc1_ucm_n_expand_iterations 6
% 153.99/154.17 % --bmc1_ucm_extend_mode 1
% 153.99/154.17 % --bmc1_ucm_init_mode 2
% 153.99/154.17 % --bmc1_ucm_cone_mode none
% 153.99/154.17 % --bmc1_ucm_reduced_relation_type 0
% 153.99/154.17 % --bmc1_ucm_relax_model 4
% 153.99/154.17 % --bmc1_ucm_full_tr_after_sat true
% 153.99/154.17 % --bmc1_ucm_expand_neg_assumptions false
% 153.99/154.17 % --bmc1_ucm_layered_model none
% 153.99/154.17 % --bmc1_ucm_max_lemma_size 10
% 153.99/154.17
% 153.99/154.17 % ------ AIG Options
% 153.99/154.17
% 153.99/154.17 % --aig_mode false
% 153.99/154.17
% 153.99/154.17 % ------ Instantiation Options
% 153.99/154.17
% 153.99/154.17 % --instantiation_flag true
% 153.99/154.17 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.99/154.17 % --inst_solver_per_active 750
% 153.99/154.17 % --inst_solver_calls_frac 0.5
% 153.99/154.17 % --inst_passive_queue_type priority_queues
% 153.99/154.17 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.99/154.17 % --inst_passive_queues_freq [25;2]
% 153.99/154.17 % --inst_dismatching true
% 153.99/154.17 % --inst_eager_unprocessed_to_passive true
% 153.99/154.17 % --inst_prop_sim_given true
% 153.99/154.17 % --inst_prop_sim_new false
% 153.99/154.17 % --inst_orphan_elimination true
% 153.99/154.17 % --inst_learning_loop_flag true
% 153.99/154.17 % --inst_learning_start 3000
% 153.99/154.17 % --inst_learning_factor 2
% 153.99/154.17 % --inst_start_prop_sim_after_learn 3
% 153.99/154.17 % --inst_sel_renew solver
% 153.99/154.17 % --inst_lit_activity_flag true
% 153.99/154.17 % --inst_out_proof true
% 153.99/154.17
% 153.99/154.17 % ------ Resolution Options
% 153.99/154.17
% 153.99/154.17 % --resolution_flag true
% 153.99/154.17 % --res_lit_sel kbo_max
% 153.99/154.17 % --res_to_prop_solver none
% 153.99/154.17 % --res_prop_simpl_new false
% 153.99/154.17 % --res_prop_simpl_given false
% 153.99/154.17 % --res_passive_queue_type priority_queues
% 153.99/154.17 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.99/154.17 % --res_passive_queues_freq [15;5]
% 153.99/154.17 % --res_forward_subs full
% 153.99/154.17 % --res_backward_subs full
% 153.99/154.17 % --res_forward_subs_resolution true
% 153.99/154.17 % --res_backward_subs_resolution true
% 153.99/154.17 % --res_orphan_elimination false
% 153.99/154.17 % --res_time_limit 1000.
% 153.99/154.17 % --res_out_proof true
% 153.99/154.17 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_4a8a3e.s
% 153.99/154.17 % --modulo true
% 153.99/154.17
% 153.99/154.17 % ------ Combination Options
% 153.99/154.17
% 153.99/154.17 % --comb_res_mult 1000
% 153.99/154.17 % --comb_inst_mult 300
% 153.99/154.17 % ------
% 153.99/154.17
% 153.99/154.17 % ------ Parsing...% successful
% 153.99/154.17
% 153.99/154.17 % ------ 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 %
% 153.99/154.17
% 153.99/154.17 % ------ Proving...
% 153.99/154.17 % ------ Problem Properties
% 153.99/154.17
% 153.99/154.17 %
% 153.99/154.17 % EPR false
% 153.99/154.17 % Horn false
% 153.99/154.17 % Has equality true
% 153.99/154.17
% 153.99/154.17 % % ------ Input Options Time Limit: Unbounded
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 Compiling...
% 153.99/154.17 Loading plugin: done.
% 153.99/154.17 % % ------ Current options:
% 153.99/154.17
% 153.99/154.17 % ------ Input Options
% 153.99/154.17
% 153.99/154.17 % --out_options all
% 153.99/154.17 % --tptp_safe_out true
% 153.99/154.17 % --problem_path ""
% 153.99/154.17 % --include_path ""
% 153.99/154.17 % --clausifier .//eprover
% 153.99/154.17 % --clausifier_options --tstp-format
% 153.99/154.17 % --stdin false
% 153.99/154.17 % --dbg_backtrace false
% 153.99/154.17 % --dbg_dump_prop_clauses false
% 153.99/154.17 % --dbg_dump_prop_clauses_file -
% 153.99/154.17 % --dbg_out_stat false
% 153.99/154.17
% 153.99/154.17 % ------ General Options
% 153.99/154.17
% 153.99/154.17 % --fof false
% 153.99/154.17 % --time_out_real 150.
% 153.99/154.17 % --time_out_prep_mult 0.2
% 153.99/154.17 % --time_out_virtual -1.
% 153.99/154.17 % --schedule none
% 153.99/154.17 % --ground_splitting input
% 153.99/154.17 % --splitting_nvd 16
% 153.99/154.17 % --non_eq_to_eq false
% 153.99/154.17 % --prep_gs_sim true
% 153.99/154.17 % --prep_unflatten false
% 153.99/154.17 % --prep_res_sim true
% 153.99/154.17 % --prep_upred true
% 153.99/154.17 % --res_sim_input true
% 153.99/154.17 % --clause_weak_htbl true
% 153.99/154.17 % --gc_record_bc_elim false
% 153.99/154.17 % --symbol_type_check false
% 153.99/154.17 % --clausify_out false
% 153.99/154.17 % --large_theory_mode false
% 153.99/154.17 % --prep_sem_filter none
% 153.99/154.17 % --prep_sem_filter_out false
% 153.99/154.17 % --preprocessed_out false
% 153.99/154.17 % --sub_typing false
% 153.99/154.17 % --brand_transform false
% 153.99/154.17 % --pure_diseq_elim true
% 153.99/154.17 % --min_unsat_core false
% 153.99/154.17 % --pred_elim true
% 153.99/154.17 % --add_important_lit false
% 153.99/154.17 % --soft_assumptions false
% 153.99/154.17 % --reset_solvers false
% 153.99/154.17 % --bc_imp_inh []
% 153.99/154.17 % --conj_cone_tolerance 1.5
% 153.99/154.17 % --prolific_symb_bound 500
% 153.99/154.17 % --lt_threshold 2000
% 153.99/154.17
% 153.99/154.17 % ------ SAT Options
% 153.99/154.17
% 153.99/154.17 % --sat_mode false
% 153.99/154.17 % --sat_fm_restart_options ""
% 153.99/154.17 % --sat_gr_def false
% 153.99/154.17 % --sat_epr_types true
% 153.99/154.17 % --sat_non_cyclic_types false
% 153.99/154.17 % --sat_finite_models false
% 153.99/154.17 % --sat_fm_lemmas false
% 153.99/154.17 % --sat_fm_prep false
% 153.99/154.17 % --sat_fm_uc_incr true
% 153.99/154.17 % --sat_out_model small
% 153.99/154.17 % --sat_out_clauses false
% 153.99/154.17
% 153.99/154.17 % ------ QBF Options
% 153.99/154.17
% 153.99/154.17 % --qbf_mode false
% 153.99/154.17 % --qbf_elim_univ true
% 153.99/154.17 % --qbf_sk_in true
% 153.99/154.17 % --qbf_pred_elim true
% 153.99/154.17 % --qbf_split 32
% 153.99/154.17
% 153.99/154.17 % ------ BMC1 Options
% 153.99/154.17
% 153.99/154.17 % --bmc1_incremental false
% 153.99/154.17 % --bmc1_axioms reachable_all
% 153.99/154.17 % --bmc1_min_bound 0
% 153.99/154.17 % --bmc1_max_bound -1
% 153.99/154.17 % --bmc1_max_bound_default -1
% 153.99/154.17 % --bmc1_symbol_reachability true
% 153.99/154.17 % --bmc1_property_lemmas false
% 153.99/154.17 % --bmc1_k_induction false
% 153.99/154.17 % --bmc1_non_equiv_states false
% 153.99/154.17 % --bmc1_deadlock false
% 153.99/154.17 % --bmc1_ucm false
% 153.99/154.17 % --bmc1_add_unsat_core none
% 153.99/154.17 % --bmc1_unsat_core_children false
% 153.99/154.17 % --bmc1_unsat_core_extrapolate_axioms false
% 153.99/154.17 % --bmc1_out_stat full
% 153.99/154.17 % --bmc1_ground_init false
% 153.99/154.17 % --bmc1_pre_inst_next_state false
% 153.99/154.17 % --bmc1_pre_inst_state false
% 153.99/154.17 % --bmc1_pre_inst_reach_state false
% 153.99/154.17 % --bmc1_out_unsat_core false
% 153.99/154.17 % --bmc1_aig_witness_out false
% 153.99/154.17 % --bmc1_verbose false
% 153.99/154.17 % --bmc1_dump_clauses_tptp false
% 153.99/154.17 % --bmc1_dump_unsat_core_tptp false
% 153.99/154.17 % --bmc1_dump_file -
% 153.99/154.17 % --bmc1_ucm_expand_uc_limit 128
% 153.99/154.17 % --bmc1_ucm_n_expand_iterations 6
% 153.99/154.17 % --bmc1_ucm_extend_mode 1
% 153.99/154.17 % --bmc1_ucm_init_mode 2
% 153.99/154.17 % --bmc1_ucm_cone_mode none
% 153.99/154.17 % --bmc1_ucm_reduced_relation_type 0
% 153.99/154.17 % --bmc1_ucm_relax_model 4
% 153.99/154.17 % --bmc1_ucm_full_tr_after_sat true
% 153.99/154.17 % --bmc1_ucm_expand_neg_assumptions false
% 153.99/154.17 % --bmc1_ucm_layered_model none
% 153.99/154.17 % --bmc1_ucm_max_lemma_size 10
% 153.99/154.17
% 153.99/154.17 % ------ AIG Options
% 153.99/154.17
% 153.99/154.17 % --aig_mode false
% 153.99/154.17
% 153.99/154.17 % ------ Instantiation Options
% 153.99/154.17
% 153.99/154.17 % --instantiation_flag true
% 153.99/154.17 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 153.99/154.17 % --inst_solver_per_active 750
% 153.99/154.17 % --inst_solver_calls_frac 0.5
% 153.99/154.17 % --inst_passive_queue_type priority_queues
% 153.99/154.17 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.99/154.17 % --inst_passive_queues_freq [25;2]
% 153.99/154.17 % --inst_dismatching true
% 153.99/154.17 % --inst_eager_unprocessed_to_passive true
% 153.99/154.17 % --inst_prop_sim_given true
% 153.99/154.17 % --inst_prop_sim_new false
% 153.99/154.17 % --inst_orphan_elimination true
% 153.99/154.17 % --inst_learning_loop_flag true
% 153.99/154.17 % --inst_learning_start 3000
% 153.99/154.17 % --inst_learning_factor 2
% 153.99/154.17 % --inst_start_prop_sim_after_learn 3
% 153.99/154.17 % --inst_sel_renew solver
% 153.99/154.17 % --inst_lit_activity_flag true
% 153.99/154.17 % --inst_out_proof true
% 153.99/154.17
% 153.99/154.17 % ------ Resolution Options
% 153.99/154.17
% 153.99/154.17 % --resolution_flag true
% 153.99/154.17 % --res_lit_sel kbo_max
% 153.99/154.17 % --res_to_prop_solver none
% 153.99/154.17 % --res_prop_simpl_new false
% 153.99/154.17 % --res_prop_simpl_given false
% 153.99/154.17 % --res_passive_queue_type priority_queues
% 153.99/154.17 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.99/154.17 % --res_passive_queues_freq [15;5]
% 153.99/154.17 % --res_forward_subs full
% 153.99/154.17 % --res_backward_subs full
% 153.99/154.17 % --res_forward_subs_resolution true
% 153.99/154.17 % --res_backward_subs_resolution true
% 153.99/154.17 % --res_orphan_elimination false
% 153.99/154.17 % --res_time_limit 1000.
% 153.99/154.17 % --res_out_proof true
% 153.99/154.17 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_4a8a3e.s
% 153.99/154.17 % --modulo true
% 153.99/154.17
% 153.99/154.17 % ------ Combination Options
% 153.99/154.17
% 153.99/154.17 % --comb_res_mult 1000
% 153.99/154.17 % --comb_inst_mult 300
% 153.99/154.17 % ------
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17 % ------ Proving...
% 153.99/154.17 % warning: shown sat in sat incomplete mode
% 153.99/154.17 %
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17
% 153.99/154.17 cnf(c_1459,plain,
% 153.99/154.17 ( 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)))
% 153.99/154.17 | ~ 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)
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.17 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.17 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2576_3) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6225,plain,
% 153.99/154.17 ( 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)))
% 153.99/154.17 | ~ 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)
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.17 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.17 inference(copy,[status(esa)],[c_1459]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6226,plain,
% 153.99/154.17 ( 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)))
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 153.99/154.17 | ~ 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)
% 153.99/154.17 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 153.99/154.17 inference(rewriting,[status(thm)],[c_6225]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_1456,plain,
% 153.99/154.17 ( 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)
% 153.99/154.17 | ~ c_Type_Otyping(X0,X1,X5)
% 153.99/154.17 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.99/154.17 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2578_2) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6219,plain,
% 153.99/154.17 ( 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)
% 153.99/154.17 | ~ c_Type_Otyping(X0,X1,X5)
% 153.99/154.17 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 153.99/154.17 inference(copy,[status(esa)],[c_1456]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6220,plain,
% 153.99/154.17 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.99/154.17 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 153.99/154.17 | 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) ),
% 153.99/154.17 inference(rewriting,[status(thm)],[c_6219]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_1453,plain,
% 153.99/154.17 ( 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)))
% 153.99/154.17 | ~ 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)))
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.17 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2579_2) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6213,plain,
% 153.99/154.17 ( 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)))
% 153.99/154.17 | ~ 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)))
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.17 inference(copy,[status(esa)],[c_1453]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6214,plain,
% 153.99/154.17 ( ~ 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)))
% 153.99/154.17 | 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)))
% 153.99/154.17 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 153.99/154.17 inference(rewriting,[status(thm)],[c_6213]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_1450,plain,
% 153.99/154.17 ( X0 = X1
% 153.99/154.17 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.99/154.17 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.99/154.17 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2581_2) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6207,plain,
% 153.99/154.17 ( X0 = X1
% 153.99/154.17 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 153.99/154.17 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 153.99/154.17 inference(copy,[status(esa)],[c_1450]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6208,plain,
% 153.99/154.17 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.17 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.17 | X3 = X4 ),
% 153.99/154.17 inference(rewriting,[status(thm)],[c_6207]) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_1424,plain,
% 153.99/154.17 ( hBOOL(hAPP(X0,X1))
% 153.99/154.17 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.17 | ~ 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)))
% 153.99/154.17 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.17 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2596_3) ).
% 153.99/154.17
% 153.99/154.17 cnf(c_6155,plain,
% 153.99/154.17 ( hBOOL(hAPP(X0,X1))
% 153.99/154.17 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.17 | ~ 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)))
% 153.99/154.17 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1424]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6156,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_6155]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1420,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2597_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6147,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_1420]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6148,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_6147]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1395,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2615_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6097,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_1395]) ).
% 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(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_6097]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1387,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2621_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6081,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_1387]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6082,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_6081]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1370,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2631_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6047,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_1370]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6048,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_6047]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1359,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2637_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6025,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_1359]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6026,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_6025]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1356,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2638_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6019,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_1356]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_6020,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_6019]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1332,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2649_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5971,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_1332]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5972,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_5971]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1328,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2652_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5963,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_1328]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5964,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_5963]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1322,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2654_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5951,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_1322]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5952,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_5951]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1318,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2656_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5943,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 inference(copy,[status(esa)],[c_1318]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5944,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | 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)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5943]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1314,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(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)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2657_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5935,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(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)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1314]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5936,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | 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)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 153.99/154.18 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5935]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1284,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2668_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5875,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1284]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5876,plain,
% 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,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5875]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1280,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2669_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5867,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1280]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5868,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5867]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1272,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2671_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5851,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1272]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5852,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5851]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1261,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,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(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2675_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5829,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,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(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1261]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5830,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(c_Power_Opower__class_Opower(X0,X1,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5829]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1253,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2677_4) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5813,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 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_1253]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5814,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_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5813]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1249,plain,
% 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(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2678_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5805,plain,
% 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(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1249]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5806,plain,
% 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(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5805]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1245,plain,
% 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(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2679_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5797,plain,
% 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(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1245]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5798,plain,
% 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,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5797]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1241,plain,
% 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(X2,X3,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2680_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5789,plain,
% 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(X2,X3,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1241]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5790,plain,
% 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,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5789]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1237,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2681_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5781,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1237]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5782,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5781]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1233,plain,
% 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(X2,X3,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2682_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5773,plain,
% 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(X2,X3,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1233]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5774,plain,
% 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(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5773]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1229,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2683_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5765,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1229]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5766,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5765]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1214,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2690_0) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5735,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1214]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5736,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5735]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1211,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2690_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5729,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1211]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5730,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5729]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1210,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2691_0) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5727,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1210]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5728,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5727]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1207,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2691_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5721,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1207]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5722,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5721]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1197,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,X2,X0)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2696_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5701,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,X2,X0)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1197]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5702,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5701]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1196,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(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2696_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5699,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(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1196]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5700,plain,
% 153.99/154.18 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,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 inference(rewriting,[status(thm)],[c_5699]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1174,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2706_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5655,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1174]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5656,plain,
% 153.99/154.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X2)
% 153.99/154.18 | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5655]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1170,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2707_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5647,plain,
% 153.99/154.18 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1170]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5648,plain,
% 153.99/154.18 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oidom(X2)
% 153.99/154.18 | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5647]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1133,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2722_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5573,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1133]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5574,plain,
% 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(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5573]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1105,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2729_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5517,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1105]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5518,plain,
% 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,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5517]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1089,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(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(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2734_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5485,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(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(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1089]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5486,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.18 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 153.99/154.18 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5485]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1077,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2738_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5461,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1077]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5462,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5461]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1041,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2753_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5389,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1041]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5390,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),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_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5389]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1039,plain,
% 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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2753_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5385,plain,
% 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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1039]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5386,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5385]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1037,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2754_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5381,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1037]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5382,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5381]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1035,plain,
% 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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2754_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5377,plain,
% 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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1035]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5378,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),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_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5377]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_1002,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2770_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5311,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_1002]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5312,plain,
% 153.99/154.18 ( 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5311]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_990,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.18 | ~ 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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2774_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5287,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 153.99/154.18 | ~ 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_990]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5288,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_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(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_5287]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_986,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2776_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5279,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_986]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5280,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5279]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_985,plain,
% 153.99/154.18 ( 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2776_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5277,plain,
% 153.99/154.18 ( 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)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_985]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5278,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5277]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_975,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(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(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2780_3) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5257,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(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(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_975]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5258,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5257]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_969,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2782_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5245,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_969]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5246,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5245]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_965,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2783_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5237,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(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_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_965]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5238,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5237]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_961,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2784_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5229,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_961]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5230,plain,
% 153.99/154.18 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5229]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_957,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2788_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5221,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_957]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5222,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5221]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_956,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2788_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5219,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_956]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5220,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5219]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_954,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2789_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5215,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_954]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5216,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5215]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_953,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2789_2) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5213,plain,
% 153.99/154.18 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_953]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5214,plain,
% 153.99/154.18 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 153.99/154.18 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5213]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_951,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(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_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2791_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5209,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(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_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_951]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5210,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5209]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_947,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2792_1) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5201,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 inference(copy,[status(esa)],[c_947]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_5202,plain,
% 153.99/154.18 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.99/154.18 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.99/154.18 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.99/154.18 inference(rewriting,[status(thm)],[c_5201]) ).
% 153.99/154.18
% 153.99/154.18 cnf(c_909,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2803_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5125,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_909]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5126,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_5125]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_888,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2810_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5083,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_888]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5084,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_5083]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_885,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2811_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5077,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_885]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5078,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_5077]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_846,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2827_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4999,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_846]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_5000,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_4999]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_843,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2828_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4993,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_843]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4994,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_4993]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_840,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2829_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4987,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_840]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4988,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_4987]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_788,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2856_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4883,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_788]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4884,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_4883]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_778,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2859_3) ).
% 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_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_778]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4864,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_4863]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_748,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2874_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4803,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_748]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4804,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_4803]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_677,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2906_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4661,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_677]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4662,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_4661]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_675,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2907_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4657,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_675]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4658,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_4657]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_632,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2930_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4571,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_632]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4572,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_4571]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_629,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2931_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4565,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_629]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4566,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_4565]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_626,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2932_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4559,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_626]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4560,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_4559]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_623,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2933_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4553,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_623]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4554,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_4553]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_620,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2934_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4547,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_620]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4548,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_4547]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_617,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2935_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4541,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_617]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4542,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_4541]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_613,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2936_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4533,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_613]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4534,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_4533]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_524,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2969_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4355,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 inference(copy,[status(esa)],[c_524]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4356,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 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 | X1 = X0 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4355]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_515,plain,
% 153.99/154.19 ( ~ c_Lambda_Obeta(X0,X1)
% 153.99/154.19 | ~ c_Type_Otyping(X2,X0,X3)
% 153.99/154.19 | c_Type_Otyping(X2,X1,X3) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2975_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4337,plain,
% 153.99/154.19 ( ~ c_Lambda_Obeta(X0,X1)
% 153.99/154.19 | ~ c_Type_Otyping(X2,X0,X3)
% 153.99/154.19 | c_Type_Otyping(X2,X1,X3) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_515]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4338,plain,
% 153.99/154.19 ( ~ c_Type_Otyping(X0,X1,X2)
% 153.99/154.19 | c_Type_Otyping(X0,X3,X2)
% 153.99/154.19 | ~ c_Lambda_Obeta(X1,X3) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4337]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_502,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2981_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4311,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 153.99/154.19 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_502]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4312,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__Xzero__induct__1__1(X0))))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4311]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_499,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2982_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4305,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_499]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4306,plain,
% 153.99/154.19 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 153.99/154.19 | ~ hBOOL(hAPP(X0,X1)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4305]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_483,plain,
% 153.99/154.19 ( c_Suc(X0) = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2988_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4273,plain,
% 153.99/154.19 ( c_Suc(X0) = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(c_Suc(X0),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_483]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4274,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(X0,X1,tc_nat)
% 153.99/154.19 | c_Suc(X0) = X1 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4273]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_439,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3007_5) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4185,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_439]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4186,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.19 | ~ class_Power_Opower(X0)
% 153.99/154.19 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4185]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_434,plain,
% 153.99/154.19 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3008_4) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4175,plain,
% 153.99/154.19 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_434]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4176,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.19 | ~ class_Power_Opower(X0)
% 153.99/154.19 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4175]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_431,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X1 = X0
% 153.99/154.19 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3009_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4169,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | X1 = X0
% 153.99/154.19 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_431]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4170,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 153.99/154.19 | X1 = X0 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4169]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_413,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.19 | X2 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3014_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4133,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.99/154.19 | X2 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_413]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4134,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 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.99/154.19 | X1 = X0 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4133]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_411,plain,
% 153.99/154.19 ( X0 = X1
% 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 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3014_3) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4129,plain,
% 153.99/154.19 ( X0 = X1
% 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 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_411]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4130,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 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 153.99/154.19 | X0 = X1 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4129]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_367,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3036_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4041,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_367]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4042,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.99/154.19 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.99/154.19 | X0 = X1 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4041]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_362,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3038_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4031,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_362]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4032,plain,
% 153.99/154.19 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4031]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_359,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3039_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4025,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_359]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_4026,plain,
% 153.99/154.19 ( c_Power_Opower__class_Opower(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_4025]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_341,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3047_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3989,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_341]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3990,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3989]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_339,plain,
% 153.99/154.19 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3047_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3985,plain,
% 153.99/154.19 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_339]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3986,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3985]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_333,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3048_5) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3973,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.99/154.19 | ~ class_Power_Opower(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_333]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3974,plain,
% 153.99/154.19 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.99/154.19 | ~ class_Ring__and__Field_Omult__zero(X0)
% 153.99/154.19 | ~ class_Power_Opower(X0)
% 153.99/154.19 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3973]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_324,plain,
% 153.99/154.19 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3051_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3955,plain,
% 153.99/154.19 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_324]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3956,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3955]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_321,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3052_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3949,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_321]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3950,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3949]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_303,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3062_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3913,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_303]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3914,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3913]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_301,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3062_2) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3909,plain,
% 153.99/154.19 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_301]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3910,plain,
% 153.99/154.19 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 153.99/154.19 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.99/154.19 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3909]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_61,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3119_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3484,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_61]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3485,plain,
% 153.99/154.19 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3484]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_58,plain,
% 153.99/154.19 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3130_0) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3480,plain,
% 153.99/154.19 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_58]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_3481,plain,
% 153.99/154.19 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_3480]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1463,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_4) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1909,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1463]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1913,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1909]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1914,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1913]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1915,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1914]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6233,negated_conjecture,
% 153.99/154.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(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_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))) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1915]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1451,plain,
% 153.99/154.19 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.19 | X4 = X3
% 153.99/154.19 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2581_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6209,plain,
% 153.99/154.19 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.19 | X4 = X3
% 153.99/154.19 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1451]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6210,plain,
% 153.99/154.19 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 153.99/154.19 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 153.99/154.19 | X4 = X3 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6209]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1448,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2583_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6203,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ c_Type_Otypings(X0,X3,X4) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1448]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1446,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2585_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6199,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1446]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1444,plain,
% 153.99/154.19 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.19 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2586_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6195,plain,
% 153.99/154.19 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 153.99/154.19 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1444]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1442,plain,
% 153.99/154.19 ( 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))
% 153.99/154.19 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2587_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6191,plain,
% 153.99/154.19 ( 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))
% 153.99/154.19 | ~ c_Lambda_Obeta(X0,X2) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1442]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1440,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2588_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6187,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1440]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6188,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | X1 = X3 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6187]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1438,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2589_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6183,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1438]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6184,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | X0 = X2 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6183]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1436,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2590_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6179,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1436]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6180,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | X1 = X3 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6179]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1434,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2591_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6175,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1434]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6176,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | X0 = X2 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6175]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1432,plain,
% 153.99/154.19 ( 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))
% 153.99/154.19 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2592_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6171,plain,
% 153.99/154.19 ( 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))
% 153.99/154.19 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1432]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6172,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.99/154.19 | 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)) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6171]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1430,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2594_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6167,plain,
% 153.99/154.19 ( X0 = X1
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1430]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6168,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | X0 = X2 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6167]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1428,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2595_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6163,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1428]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6164,plain,
% 153.99/154.19 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6163]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1418,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2598_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6143,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1418]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6144,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6143]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1416,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2599_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6139,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ class_Divides_Osemiring__div(X0) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1416]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6140,plain,
% 153.99/154.19 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6139]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1414,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2600_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6135,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | ~ 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1414]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6136,plain,
% 153.99/154.19 ( ~ 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)
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6135]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1412,plain,
% 153.99/154.19 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.99/154.19 | 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) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2605_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6131,plain,
% 153.99/154.19 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 153.99/154.19 | 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) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1412]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6132,plain,
% 153.99/154.19 ( 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)
% 153.99/154.19 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 153.99/154.19 inference(rewriting,[status(thm)],[c_6131]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_1410,plain,
% 153.99/154.19 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.99/154.19 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2607_1) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6127,plain,
% 153.99/154.19 ( c_Lambda_OdB_OAbs(X0) = X1
% 153.99/154.19 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 153.99/154.19 inference(copy,[status(esa)],[c_1410]) ).
% 153.99/154.19
% 153.99/154.19 cnf(c_6128,plain,
% 153.99/154.19 ( 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_6127]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1408,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2608_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6123,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_1408]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6124,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_6123]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1406,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2609_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6119,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_1406]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6120,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_6119]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1404,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2610_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6115,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_1404]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6116,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_6115]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1402,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2611_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6111,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_1402]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6112,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_6111]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1400,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2612_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6107,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_1400]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6108,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_6107]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1398,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2613_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6103,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_1398]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6104,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_6103]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1393,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2617_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6093,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_1393]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1391,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2619_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6089,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_1391]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6090,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_6089]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1385,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2623_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6077,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_1385]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1383,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2624_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6073,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_1383]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6074,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_6073]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1377,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2630_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6061,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_1377]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1373,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2630_4) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6053,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_1373]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6054,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_6053]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1366,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2634_0) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6039,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_1366]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1364,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2634_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6035,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_1364]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6036,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_6035]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1362,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2635_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6031,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_1362]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6032,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_6031]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1352,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2640_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6011,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_1352]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6012,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_6011]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1350,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2641_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6007,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_1350]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_6008,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_6007]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1344,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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2644_2) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5995,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_1344]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5996,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(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 inference(rewriting,[status(thm)],[c_5995]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1342,plain,
% 153.99/154.20 ( 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)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2645_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5991,plain,
% 153.99/154.20 ( 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)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1342]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5992,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | 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) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_5991]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1338,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)),X3),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/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2647_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5983,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)),X3),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_1338]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5984,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)),X3),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_5983]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1336,plain,
% 153.99/154.20 ( 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))
% 153.99/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2648_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5979,plain,
% 153.99/154.20 ( 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))
% 153.99/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1336]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5980,plain,
% 153.99/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.99/154.20 | 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)) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_5979]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1334,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | 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)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2649_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5975,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | 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)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1334]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5976,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 153.99/154.20 | 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) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_5975]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1330,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | 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)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2652_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5967,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | 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)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1330]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5968,plain,
% 153.99/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 153.99/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 153.99/154.20 | 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) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_5967]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1326,plain,
% 153.99/154.20 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.99/154.20 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2653_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5959,plain,
% 153.99/154.20 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 153.99/154.20 | ~ c_Type_Otyping(X0,X3,X4) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1326]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1320,plain,
% 153.99/154.20 ( 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)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2655_1) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5947,plain,
% 153.99/154.20 ( 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)
% 153.99/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.99/154.20 inference(copy,[status(esa)],[c_1320]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5948,plain,
% 153.99/154.20 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.99/154.20 | 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) ),
% 153.99/154.20 inference(rewriting,[status(thm)],[c_5947]) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_1316,plain,
% 153.99/154.20 ( 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)
% 153.99/154.20 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 153.99/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 153.99/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 153.99/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2656_3) ).
% 153.99/154.20
% 153.99/154.20 cnf(c_5939,plain,
% 153.99/154.20 ( 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)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1316]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5940,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5939]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1312,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2657_3) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5931,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1312]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5932,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5931]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1311,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2658_0) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5929,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1311]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1310,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2658_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5927,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1310]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1307,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2658_4) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5921,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1307]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5922,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5921]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1305,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2659_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5917,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1305]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5918,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5917]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1303,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2660_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5913,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1303]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5914,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5913]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1301,plain,
% 154.02/154.20 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2662_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5909,plain,
% 154.02/154.20 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1301]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5910,plain,
% 154.02/154.20 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.20 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5909]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1298,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2663_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5903,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1298]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5904,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.02/154.20 | 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)
% 154.02/154.20 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5903]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1295,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2664_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5897,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1295]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5898,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.02/154.20 | 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)
% 154.02/154.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5897]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1293,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2665_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5893,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1293]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5894,plain,
% 154.02/154.20 ( ~ 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)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5893]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1291,plain,
% 154.02/154.20 ( 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
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2666_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5889,plain,
% 154.02/154.20 ( 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
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1291]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5890,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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 ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5889]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1288,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2667_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5883,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.02/154.20 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1288]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5884,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5883]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1270,plain,
% 154.02/154.20 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 154.02/154.20 | 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)) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2672_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5847,plain,
% 154.02/154.20 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 154.02/154.20 | 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)) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1270]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5848,plain,
% 154.02/154.20 ( 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))
% 154.02/154.20 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5847]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1264,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2674_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5835,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1264]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5836,plain,
% 154.02/154.20 ( ~ 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)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.20 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5835]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1227,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2684_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5761,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1227]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5762,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5761]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1225,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X3) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2685_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5757,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X3) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1225]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5758,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5757]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1221,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2687_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5749,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1221]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5750,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5749]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1218,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2688_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5743,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1218]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5744,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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))
% 154.02/154.20 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5743]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1215,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2689_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5737,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1215]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5738,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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))
% 154.02/154.20 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5737]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1205,plain,
% 154.02/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2692_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5717,plain,
% 154.02/154.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1205]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5718,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5717]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1203,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2693_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5713,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1203]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5714,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5713]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1199,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2695_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5705,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1199]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5706,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5705]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1194,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2696_4) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5695,plain,
% 154.02/154.20 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1194]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5696,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5695]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1190,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2698_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5687,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1190]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5688,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5687]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1187,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2699_2) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5681,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.20 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1187]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5682,plain,
% 154.02/154.20 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5681]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1182,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | X2 = X3
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Int_Onumber__ring(X1)
% 154.02/154.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2700_4) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5671,plain,
% 154.02/154.20 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.20 | X2 = X3
% 154.02/154.20 | 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))
% 154.02/154.20 | ~ class_Int_Onumber__ring(X1)
% 154.02/154.20 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1182]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5672,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.02/154.20 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.20 | 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))
% 154.02/154.20 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.20 | X3 = X4 ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5671]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1180,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2701_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5667,plain,
% 154.02/154.20 ( 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)
% 154.02/154.20 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.20 inference(copy,[status(esa)],[c_1180]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5668,plain,
% 154.02/154.20 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.20 | 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) ),
% 154.02/154.20 inference(rewriting,[status(thm)],[c_5667]) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_1178,plain,
% 154.02/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2703_1) ).
% 154.02/154.20
% 154.02/154.20 cnf(c_5663,plain,
% 154.02/154.20 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.20 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1178]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5664,plain,
% 154.02/154.21 ( ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5663]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1167,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2708_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5641,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1167]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5642,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.21 | 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5641]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1164,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.21 | X1 = X2
% 154.02/154.21 | 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)) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2711_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5635,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.21 | X1 = X2
% 154.02/154.21 | 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)) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1164]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5636,plain,
% 154.02/154.21 ( 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))
% 154.02/154.21 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.21 | X2 = X3 ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5635]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1161,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2712_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5629,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1161]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5630,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5629]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1158,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2713_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5623,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1158]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5624,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.02/154.21 | ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5623]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1155,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2714_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5617,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1155]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5618,plain,
% 154.02/154.21 ( ~ 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)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.21 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5617]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1153,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2715_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5613,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1153]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1151,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2716_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5609,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1151]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1149,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2717_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5605,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1149]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5606,plain,
% 154.02/154.21 ( ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5605]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1147,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2718_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5601,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1147]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5602,plain,
% 154.02/154.21 ( ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5601]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1145,plain,
% 154.02/154.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 154.02/154.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2719_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5597,plain,
% 154.02/154.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 154.02/154.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1145]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1141,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2720_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5589,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1141]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5590,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5589]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1125,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2724_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5557,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1125]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5558,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5557]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1129,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2723_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5565,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1129]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5566,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5565]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1113,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2727_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5533,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1113]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5534,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5533]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1101,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2730_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5509,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1101]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1099,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2731_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5505,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1099]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5506,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5505]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1091,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2733_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5489,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1091]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5490,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5489]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1087,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2734_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5481,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1087]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5482,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5481]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1085,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2735_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5477,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1085]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5478,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5477]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1082,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.21 | 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))
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2736_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5471,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.21 | 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))
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1082]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5472,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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))
% 154.02/154.21 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5471]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1079,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.21 | 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))
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2737_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5465,plain,
% 154.02/154.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.21 | 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))
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1079]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5466,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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))
% 154.02/154.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5465]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1075,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2738_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5457,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1075]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5458,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5457]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1073,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2739_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5453,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1073]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5454,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5453]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1071,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2740_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5449,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1071]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5450,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5449]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1069,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2741_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5445,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1069]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5446,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5445]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1067,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2742_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5441,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1067]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5442,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5441]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1049,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2748_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5405,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1049]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5406,plain,
% 154.02/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5405]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1052,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2747_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5411,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1052]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5412,plain,
% 154.02/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5411]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1047,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2750_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5401,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1047]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5402,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5401]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1045,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2751_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5397,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1045]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5398,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5397]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1043,plain,
% 154.02/154.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.21 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2752_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5393,plain,
% 154.02/154.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.21 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1043]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1033,plain,
% 154.02/154.21 ( hBOOL(hAPP(X0,X1))
% 154.02/154.21 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2755_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5373,plain,
% 154.02/154.21 ( hBOOL(hAPP(X0,X1))
% 154.02/154.21 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1033]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5374,plain,
% 154.02/154.21 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.02/154.21 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5373]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1031,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2756_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5369,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.21 | ~ 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) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1031]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5370,plain,
% 154.02/154.21 ( ~ 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)
% 154.02/154.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5369]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1029,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2757_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5365,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1029]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5366,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5365]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1027,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2758_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5361,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1027]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5362,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5361]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1023,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2760_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5353,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1023]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5354,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.02/154.21 | 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5353]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1021,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2761_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5349,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1021]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5350,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 154.02/154.21 | 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5349]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1017,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2763_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5341,plain,
% 154.02/154.21 ( 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1017]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5342,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | 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),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5341]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1014,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2766_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5335,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1014]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5336,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5335]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1008,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2768_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5323,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1008]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5324,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5323]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1006,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2768_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5319,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1006]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5320,plain,
% 154.02/154.21 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5319]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1004,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2769_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5315,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1004]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5316,plain,
% 154.02/154.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.21 | 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) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5315]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_1001,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2770_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5309,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_1001]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_997,plain,
% 154.02/154.21 ( X0 = c_List_Olist_ONil(X1)
% 154.02/154.21 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2772_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5301,plain,
% 154.02/154.21 ( X0 = c_List_Olist_ONil(X1)
% 154.02/154.21 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_997]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5302,plain,
% 154.02/154.21 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 154.02/154.21 | X1 = c_List_Olist_ONil(X2) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5301]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_994,plain,
% 154.02/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 154.02/154.21 | 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)
% 154.02/154.21 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2773_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5295,plain,
% 154.02/154.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 154.02/154.21 | 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)
% 154.02/154.21 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_994]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5296,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.02/154.21 | 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)
% 154.02/154.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5295]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_988,plain,
% 154.02/154.21 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 154.02/154.21 | ~ c_Lambda_Obeta(X0,X3) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2775_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5283,plain,
% 154.02/154.21 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 154.02/154.21 | ~ c_Lambda_Obeta(X0,X3) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_988]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_983,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2778_1) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5273,plain,
% 154.02/154.21 ( 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)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_983]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_971,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2781_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5249,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_971]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5250,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5249]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_967,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2782_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5241,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_967]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_963,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2783_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5233,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_963]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5234,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5233]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_959,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2784_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5225,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_959]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5226,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5225]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_949,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2791_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5205,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_949]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5206,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5205]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_945,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2792_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5197,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_945]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5198,plain,
% 154.02/154.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 154.02/154.21 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5197]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_942,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2793_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5191,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_942]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5192,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5191]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_939,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2794_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5185,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_939]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_936,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2795_2) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5179,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.21 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_936]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_932,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2796_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5171,plain,
% 154.02/154.21 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 154.02/154.21 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_932]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5172,plain,
% 154.02/154.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.21 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 154.02/154.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 154.02/154.21 inference(rewriting,[status(thm)],[c_5171]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_928,plain,
% 154.02/154.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2797_3) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5163,plain,
% 154.02/154.21 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.21 inference(copy,[status(esa)],[c_928]) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_927,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2797_4) ).
% 154.02/154.21
% 154.02/154.21 cnf(c_5161,plain,
% 154.02/154.21 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.21 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.21 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_927]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_925,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2798_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5157,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_925]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5158,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5157]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_922,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2799_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5151,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_922]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5152,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5151]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_919,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2800_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5145,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_919]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5146,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5145]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_916,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2801_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5139,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_916]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5140,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5139]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_913,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2802_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5133,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_913]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5134,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5133]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_907,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2804_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5121,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_907]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_906,plain,
% 154.02/154.22 ( ~ 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)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2805_0) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5119,plain,
% 154.02/154.22 ( ~ 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)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_906]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_904,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ 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) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2805_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5115,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ 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) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_904]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5116,plain,
% 154.02/154.22 ( ~ 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)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5115]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_898,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2807_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5103,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_898]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5104,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5103]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_896,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X3) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2807_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5099,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X3) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_896]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5100,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5099]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_893,plain,
% 154.02/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2808_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5093,plain,
% 154.02/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_893]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5094,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5093]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_890,plain,
% 154.02/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2809_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5087,plain,
% 154.02/154.22 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_890]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5088,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5087]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_887,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2810_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5081,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_887]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_883,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2811_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5073,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_883]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5074,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5073]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_881,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2812_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5069,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_881]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5070,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5069]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_878,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2813_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5063,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_878]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5064,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5063]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_875,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2814_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5057,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.22 | 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_875]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5058,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | 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)
% 154.02/154.22 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5057]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_872,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2815_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5051,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_872]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5052,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5051]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_868,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2817_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5043,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_868]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5044,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5043]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_864,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2819_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5035,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_864]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5036,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5035]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_862,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2820_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5031,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_862]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5032,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5031]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_860,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2821_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5027,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_860]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5028,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5027]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_858,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2822_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5023,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_858]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5024,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5023]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_855,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2823_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5017,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_855]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_854,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2823_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5015,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_854]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_853,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2823_4) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5013,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_853]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_851,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2824_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5009,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_851]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5010,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5009]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_849,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2825_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5005,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_849]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_5006,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_5005]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_838,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2830_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4983,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_838]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_836,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2831_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4979,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_836]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_834,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.22 | 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) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2833_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4975,plain,
% 154.02/154.22 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_834]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4976,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4975]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_831,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2834_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4969,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_831]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4970,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4969]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_828,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2835_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4963,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_828]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4964,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4963]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_826,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2836_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4959,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_826]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4960,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 154.02/154.22 | 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)) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4959]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_824,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2837_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4955,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_824]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4956,plain,
% 154.02/154.22 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.02/154.22 | 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)) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4955]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_822,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2838_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4951,plain,
% 154.02/154.22 ( 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))
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_822]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4952,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | 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)) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4951]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_819,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2841_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4945,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_819]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4946,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4945]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_816,plain,
% 154.02/154.22 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2843_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4939,plain,
% 154.02/154.22 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_816]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4940,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4939]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_814,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2844_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4935,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_814]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4936,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4935]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_812,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2845_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4931,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_812]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4932,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4931]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_808,plain,
% 154.02/154.22 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.02/154.22 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2847_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4923,plain,
% 154.02/154.22 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.02/154.22 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_808]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4924,plain,
% 154.02/154.22 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.22 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4923]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_807,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2848_0) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4921,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_807]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_806,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2848_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4919,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_806]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_805,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2848_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4917,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_805]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_804,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2848_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4915,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_804]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_803,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2849_0) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4913,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_803]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_801,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2849_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4909,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_801]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_800,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2849_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4907,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_800]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_798,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2850_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4903,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_798]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4904,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | 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) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4903]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_796,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2851_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4899,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_796]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_794,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2852_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4895,plain,
% 154.02/154.22 ( 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)
% 154.02/154.22 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_794]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_792,plain,
% 154.02/154.22 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.02/154.22 | ~ hBOOL(hAPP(X0,X1)) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2853_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4891,plain,
% 154.02/154.22 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 154.02/154.22 | ~ hBOOL(hAPP(X0,X1)) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_792]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_789,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2855_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4885,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_789]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4886,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4885]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_786,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.02/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2856_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4879,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 154.02/154.22 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_786]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_784,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2857_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4875,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_784]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4876,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4875]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_782,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2858_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4871,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_782]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4872,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 154.02/154.22 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4871]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_776,plain,
% 154.02/154.22 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 154.02/154.22 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2860_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4859,plain,
% 154.02/154.22 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 154.02/154.22 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_776]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4860,plain,
% 154.02/154.22 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 154.02/154.22 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4859]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_774,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2862_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4855,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_774]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_773,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2862_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4853,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_773]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_772,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2862_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4851,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_772]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_770,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2863_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4847,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_770]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_769,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2863_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4845,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_769]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_768,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2863_3) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4843,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_768]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_765,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2866_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4837,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_765]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4838,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.22 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4837]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_763,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2867_1) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4833,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_763]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_760,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2868_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4827,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_760]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_757,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2869_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4821,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_757]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_754,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2870_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4815,plain,
% 154.02/154.22 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.22 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_754]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_751,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2873_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4809,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_751]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4810,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4809]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_745,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2875_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4797,plain,
% 154.02/154.22 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_745]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4798,plain,
% 154.02/154.22 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.22 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4797]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_742,plain,
% 154.02/154.22 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2876_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4791,plain,
% 154.02/154.22 ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_742]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4792,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4791]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_739,plain,
% 154.02/154.22 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2877_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4785,plain,
% 154.02/154.22 ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.22 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_739]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4786,plain,
% 154.02/154.22 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.22 | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4785]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_736,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2878_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4779,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_736]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4780,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.22 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 154.02/154.22 inference(rewriting,[status(thm)],[c_4779]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_733,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2879_2) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4773,plain,
% 154.02/154.22 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 154.02/154.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 154.02/154.22 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 154.02/154.22 inference(copy,[status(esa)],[c_733]) ).
% 154.02/154.22
% 154.02/154.22 cnf(c_4774,plain,
% 154.02/154.22 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4773]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_731,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2880_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4769,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_731]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4770,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4769]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_729,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2881_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4765,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_729]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_727,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2882_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4761,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_727]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_725,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2883_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4757,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_725]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_723,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2884_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4753,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_723]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4754,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4753]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_721,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2885_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4749,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_721]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4750,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4749]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_719,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2886_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4745,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_719]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4746,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4745]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_717,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2887_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4741,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_717]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4742,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4741]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_715,plain,
% 154.02/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 154.02/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2891_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4737,plain,
% 154.02/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 154.02/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_715]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_713,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2892_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4733,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_713]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_711,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2893_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4729,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_711]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_710,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2894_0) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4727,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_710]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_709,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2894_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4725,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_709]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_707,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2894_3) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4721,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_707]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4722,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4721]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_706,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2895_0) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4719,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_706]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_705,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2895_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4717,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_705]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_703,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2895_3) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4713,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_703]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4714,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4713]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_702,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2896_0) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4711,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_702]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_701,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2896_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4709,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_701]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_699,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2896_3) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4705,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 154.02/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_699]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4706,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4705]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_697,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2897_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4701,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 154.02/154.23 inference(copy,[status(esa)],[c_697]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4702,plain,
% 154.02/154.23 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 154.02/154.23 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4701]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_695,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2898_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4697,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_695]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4698,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4697]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_693,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2899_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4693,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_693]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4694,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4693]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_689,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2901_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4685,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_689]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4686,plain,
% 154.02/154.23 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4685]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_687,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Power_Opower(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2902_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4681,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Power_Opower(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_687]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4682,plain,
% 154.02/154.23 ( ~ class_Power_Opower(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4681]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_683,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2904_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4673,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_683]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4674,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4673]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_680,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2905_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4667,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_680]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4668,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4667]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_674,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2907_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4655,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_674]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_672,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2908_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4651,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_672]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_666,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2911_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4639,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_666]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_664,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2912_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4635,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_664]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_662,plain,
% 154.02/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.02/154.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2915_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4631,plain,
% 154.02/154.23 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 154.02/154.23 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_662]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4632,plain,
% 154.02/154.23 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4631]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_660,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2916_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4627,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_660]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4628,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4627]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_659,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2917_0) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4625,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_659]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_658,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2917_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4623,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_658]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_657,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2917_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4621,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_657]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_655,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2918_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4617,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_655]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4618,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4617]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_653,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2919_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4613,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_653]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4614,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4613]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_651,plain,
% 154.02/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 154.02/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2920_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4609,plain,
% 154.02/154.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 154.02/154.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_651]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_649,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | 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)) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2923_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4605,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | 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)) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_649]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_647,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2924_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4601,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_647]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4602,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4601]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_645,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2925_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4597,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_645]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4598,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4597]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_643,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | 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))) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2926_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4593,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | 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))) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_643]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_640,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2927_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4587,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_640]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4588,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4587]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_638,plain,
% 154.02/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2928_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4583,plain,
% 154.02/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_638]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4584,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4583]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_635,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2929_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4577,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_635]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4578,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4577]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_615,plain,
% 154.02/154.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.02/154.23 | X2 = X1 ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2936_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4537,plain,
% 154.02/154.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 154.02/154.23 | X2 = X1 ),
% 154.02/154.23 inference(copy,[status(esa)],[c_615]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_611,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2937_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4529,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_611]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4530,plain,
% 154.02/154.23 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 154.02/154.23 | X1 = X2 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4529]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_609,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2938_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4525,plain,
% 154.02/154.23 ( 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)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_609]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4526,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | 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) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4525]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_606,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2939_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4519,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_606]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4520,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4519]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_602,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_Int_Onumber__ring(X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2940_3) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4511,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_Int_Onumber__ring(X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Oidom(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_602]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4512,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.02/154.23 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.02/154.23 | X2 = X3 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4511]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_600,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 154.02/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2941_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4507,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 154.02/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_600]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_598,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 154.02/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2942_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4503,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 154.02/154.23 | ~ c_Lambda_Obeta(X0,X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_598]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_596,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 154.02/154.23 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2943_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4499,plain,
% 154.02/154.23 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 154.02/154.23 | ~ c_Lambda_Obeta(X1,X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_596]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_590,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2945_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4487,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Opreorder(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_590]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4488,plain,
% 154.02/154.23 ( ~ class_Orderings_Opreorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4487]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_587,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Olinorder(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2946_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4481,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Olinorder(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_587]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4482,plain,
% 154.02/154.23 ( ~ class_Orderings_Olinorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4481]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_584,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2947_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4475,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.23 | ~ class_Orderings_Oorder(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_584]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4476,plain,
% 154.02/154.23 ( ~ class_Orderings_Oorder(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4475]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_582,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2948_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4471,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_582]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_580,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2949_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4467,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_580]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4468,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4467]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_577,plain,
% 154.02/154.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2950_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4461,plain,
% 154.02/154.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_577]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4462,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 154.02/154.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4461]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_574,plain,
% 154.02/154.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2951_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4455,plain,
% 154.02/154.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_574]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4456,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 154.02/154.23 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4455]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_571,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2952_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4449,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_571]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4450,plain,
% 154.02/154.23 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 154.02/154.23 | X1 = X3 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4449]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_568,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2953_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4443,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_568]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4444,plain,
% 154.02/154.23 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.02/154.23 | X2 = X3 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4443]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_565,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2954_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4437,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 154.02/154.23 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_565]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4438,plain,
% 154.02/154.23 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 154.02/154.23 | X2 = X3 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4437]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_563,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2955_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4433,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_563]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4434,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4433]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_561,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2956_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4429,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_561]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4430,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4429]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_555,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2958_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4417,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_555]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4418,plain,
% 154.02/154.23 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 154.02/154.23 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | X1 = X2 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4417]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_552,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2959_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4411,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_552]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4412,plain,
% 154.02/154.23 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 154.02/154.23 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.23 | X0 = X2 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4411]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_550,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2960_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4407,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_550]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4408,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4407]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_548,plain,
% 154.02/154.23 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2961_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4403,plain,
% 154.02/154.23 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_548]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4404,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.02/154.23 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4403]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_527,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2968_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4361,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_527]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4362,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.23 | X0 = X1 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4361]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_528,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | X1 = X0
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2968_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4363,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | X1 = X0
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_528]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4364,plain,
% 154.02/154.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 154.02/154.23 | X1 = X0 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4363]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_522,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Odvd(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2970_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4351,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Odvd(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_522]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4352,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Odvd(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4351]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_520,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2971_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4347,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_520]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4348,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4347]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_518,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2972_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4343,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 154.02/154.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_518]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4344,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4343]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_516,plain,
% 154.02/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2974_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4339,plain,
% 154.02/154.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_516]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4340,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 154.02/154.23 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4339]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_513,plain,
% 154.02/154.23 ( c_Type_Otyping(X0,X1,X2)
% 154.02/154.23 | ~ c_Type_Otyping(X0,X3,X2)
% 154.02/154.23 | ~ c_Lambda_Obeta(X3,X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2975_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4333,plain,
% 154.02/154.23 ( c_Type_Otyping(X0,X1,X2)
% 154.02/154.23 | ~ c_Type_Otyping(X0,X3,X2)
% 154.02/154.23 | ~ c_Lambda_Obeta(X3,X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_513]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_511,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2977_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4329,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_511]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4330,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4329]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_508,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2978_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4323,plain,
% 154.02/154.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_508]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4324,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4323]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_505,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2980_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4317,plain,
% 154.02/154.23 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 154.02/154.23 | ~ class_Divides_Osemiring__div(X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_505]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4318,plain,
% 154.02/154.23 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 154.02/154.23 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4317]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_495,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2984_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4297,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_495]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_489,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X1 = X0
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2986_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4285,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X1 = X0
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_489]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4286,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X1 = X0 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4285]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_486,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X0 = X1
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2987_2) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4279,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X0 = X1
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_486]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4280,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | X0 = X1 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4279]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_481,plain,
% 154.02/154.23 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2989_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4269,plain,
% 154.02/154.23 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_481]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4270,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4269]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_477,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2991_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4261,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_477]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4262,plain,
% 154.02/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 154.02/154.23 | X0 = X2 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4261]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_475,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2992_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4257,plain,
% 154.02/154.23 ( X0 = X1
% 154.02/154.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_475]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4258,plain,
% 154.02/154.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 154.02/154.23 | X1 = X2 ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4257]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_473,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2993_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4253,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_473]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4254,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 154.02/154.23 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4253]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_471,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2996_1) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4249,plain,
% 154.02/154.23 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 154.02/154.23 inference(copy,[status(esa)],[c_471]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_4250,plain,
% 154.02/154.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.23 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.02/154.23 inference(rewriting,[status(thm)],[c_4249]) ).
% 154.02/154.23
% 154.02/154.23 cnf(c_469,plain,
% 154.02/154.23 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2997_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4245,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_469]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_467,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2998_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4241,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_467]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4242,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4241]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_465,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2999_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4237,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_465]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4238,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4237]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_463,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3000_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4233,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_463]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4234,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4233]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_460,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3001_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4227,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_460]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4228,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4227]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_457,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3002_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4221,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_457]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4222,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4221]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_454,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3003_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4215,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_454]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4216,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4215]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_451,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3004_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4209,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_451]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4210,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4209]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_448,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3005_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4203,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_448]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4204,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4203]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_445,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3006_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4197,plain,
% 154.02/154.24 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1))
% 154.02/154.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_445]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4198,plain,
% 154.02/154.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 154.02/154.24 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 154.02/154.24 | hBOOL(hAPP(X0,X1)) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4197]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_418,plain,
% 154.02/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.02/154.24 | X1 = X2
% 154.02/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3013_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4143,plain,
% 154.02/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.02/154.24 | X1 = X2
% 154.02/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_418]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4144,plain,
% 154.02/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.02/154.24 | X2 = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4143]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_415,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.24 | X0 = X1
% 154.02/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3013_3) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4137,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 154.02/154.24 | X0 = X1
% 154.02/154.24 | ~ class_Orderings_Olinorder(X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_415]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4138,plain,
% 154.02/154.24 ( ~ class_Orderings_Olinorder(X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 154.02/154.24 | X1 = X2 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4137]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_409,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3015_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4125,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_409]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4126,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 154.02/154.24 | X1 = X3 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4125]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_407,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3016_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4121,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_407]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4122,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 154.02/154.24 | X0 = X2 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4121]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_405,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3017_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4117,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_405]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4118,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.24 | 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) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4117]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_401,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3019_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4109,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_401]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4110,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4109]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_399,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3020_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4105,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_399]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4106,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4105]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_395,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3022_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4097,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_395]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4098,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4097]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_391,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3026_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4089,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_391]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4090,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4089]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_389,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3027_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4085,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_389]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4086,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4085]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_385,plain,
% 154.02/154.24 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3030_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4077,plain,
% 154.02/154.24 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_385]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4078,plain,
% 154.02/154.24 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4077]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_384,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3032_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4075,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_384]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_381,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3032_3) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4069,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_381]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4070,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4069]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_376,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3034_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4059,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_376]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_373,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3034_3) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4053,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_373]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4054,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4053]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_368,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | X1 = X0
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3036_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4043,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | X1 = X0
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_368]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4044,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 154.02/154.24 | X1 = X0 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4043]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_364,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3037_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4035,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_364]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4036,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4035]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_356,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3041_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4019,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_356]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4020,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4019]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_352,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 154.02/154.24 | ~ class_Int_Onumber__ring(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3042_3) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4011,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 154.02/154.24 | ~ class_Int_Onumber__ring(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oidom(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_352]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_4012,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.02/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 154.02/154.24 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_4011]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_345,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3045_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3997,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_345]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3998,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3997]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_320,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3053_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3947,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_320]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_318,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3053_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3943,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_318]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3944,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3943]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_316,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3055_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3939,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_316]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3940,plain,
% 154.02/154.24 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3939]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_314,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3056_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3935,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_314]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3936,plain,
% 154.02/154.24 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3935]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_312,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3057_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3931,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_312]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3932,plain,
% 154.02/154.24 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3931]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_309,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3058_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3925,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != X1 ),
% 154.02/154.24 inference(copy,[status(esa)],[c_309]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3926,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != X0
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3925]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_307,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3059_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3921,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_307]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3922,plain,
% 154.02/154.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 154.02/154.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3921]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_295,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3065_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3897,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_295]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3898,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3897]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_293,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3066_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3893,plain,
% 154.02/154.24 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_293]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3894,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 154.02/154.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3893]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_291,plain,
% 154.02/154.24 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3069_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3889,plain,
% 154.02/154.24 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_291]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3890,plain,
% 154.02/154.24 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3889]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_288,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3071_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3883,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_288]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3884,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3883]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_284,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Power_Opower(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3075_3) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3875,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Power_Opower(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_284]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3876,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3875]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_282,plain,
% 154.02/154.24 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 154.02/154.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3076_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3871,plain,
% 154.02/154.24 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 154.02/154.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_282]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_279,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3077_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3865,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_279]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3866,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 154.02/154.24 | ~ class_Power_Opower(X0)
% 154.02/154.24 | 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) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3865]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_277,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3078_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3861,plain,
% 154.02/154.24 ( 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)
% 154.02/154.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_277]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3862,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 154.02/154.24 | 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) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3861]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_275,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3081_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3857,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_275]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3858,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3857]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_273,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3082_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3853,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_273]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3854,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3853]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_269,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3084_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3845,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 154.02/154.24 inference(copy,[status(esa)],[c_269]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3846,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3845]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_267,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3086_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3841,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_267]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3842,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 154.02/154.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3841]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_264,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3087_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3835,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oidom(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_264]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3836,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oidom(X0)
% 154.02/154.24 | ~ class_Int_Onumber__ring(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3835]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_260,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3089_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3827,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_260]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3828,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3827]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_258,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3090_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3823,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_258]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3824,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3823]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_256,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3091_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3819,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_256]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3820,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3819]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_254,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3094_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3815,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_254]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3816,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3815]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_252,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3095_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3811,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_252]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3812,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3811]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_250,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3096_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3807,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_250]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3808,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3807]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_248,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3097_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3803,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_248]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3804,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3803]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_244,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3099_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3795,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_244]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3796,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3795]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_242,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3100_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3791,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_242]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3792,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3791]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_240,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3101_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3787,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_240]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3788,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3787]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_238,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3102_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3783,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_238]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3784,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3783]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_236,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3103_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3779,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_236]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3780,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3779]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_234,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3104_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3775,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_234]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3776,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3775]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_232,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3105_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3771,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_232]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3772,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3771]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_229,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3108_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3765,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_229]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3766,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 154.02/154.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3765]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_227,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3109_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3761,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_227]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3762,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3761]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_225,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Power_Opower(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3110_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3757,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 154.02/154.24 | ~ class_Power_Opower(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_225]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3758,plain,
% 154.02/154.24 ( ~ class_Power_Opower(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3757]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_223,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3111_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3753,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_223]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3754,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3753]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_221,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3112_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3749,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_221]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3750,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3749]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_217,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3114_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3741,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_217]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3742,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3741]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_215,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3115_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3737,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_215]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3738,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3737]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_213,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3116_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3733,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_213]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3734,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3733]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_211,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3117_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3729,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_211]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3730,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3729]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_209,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3118_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3725,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_209]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3726,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3725]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_207,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3120_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3721,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_207]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3722,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3721]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_205,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3121_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3717,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_205]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3718,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3717]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_203,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3123_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3713,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_203]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3714,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3713]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_201,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3124_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3709,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_201]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3710,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3709]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_199,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3125_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3705,plain,
% 154.02/154.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 154.02/154.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_199]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3706,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 154.02/154.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3705]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_197,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3127_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3701,plain,
% 154.02/154.24 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 154.02/154.24 | ~ class_Divides_Osemiring__div(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_197]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3702,plain,
% 154.02/154.24 ( ~ class_Divides_Osemiring__div(X0)
% 154.02/154.24 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3701]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_195,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3128_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3697,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_195]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3698,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3697]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_193,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3129_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3693,plain,
% 154.02/154.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_193]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3694,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3693]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_191,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3136_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3689,plain,
% 154.02/154.24 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 154.02/154.24 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_191]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3690,plain,
% 154.02/154.24 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 154.02/154.24 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3689]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_189,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3139_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3685,plain,
% 154.02/154.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 154.02/154.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_189]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3686,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 154.02/154.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3685]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_187,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3143_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3681,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_187]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3682,plain,
% 154.02/154.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3681]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_184,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.02/154.24 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3156_2) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3675,plain,
% 154.02/154.24 ( X0 = X1
% 154.02/154.24 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 154.02/154.24 | ~ class_Nat_Osemiring__char__0(X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_184]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3676,plain,
% 154.02/154.24 ( ~ class_Nat_Osemiring__char__0(X0)
% 154.02/154.24 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 154.02/154.24 | X1 = X2 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3675]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_182,plain,
% 154.02/154.24 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.02/154.24 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3163_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3671,plain,
% 154.02/154.24 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 154.02/154.24 | ~ c_Lambda_Obeta(X0,X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_182]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_180,plain,
% 154.02/154.24 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3165_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3667,plain,
% 154.02/154.24 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_180]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_178,plain,
% 154.02/154.24 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 154.02/154.24 | ~ class_Orderings_Opreorder(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3166_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3663,plain,
% 154.02/154.24 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 154.02/154.24 | ~ class_Orderings_Opreorder(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_178]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_176,plain,
% 154.02/154.24 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3168_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3659,plain,
% 154.02/154.24 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_176]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3660,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.24 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3659]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_174,plain,
% 154.02/154.24 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3169_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3655,plain,
% 154.02/154.24 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_174]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3656,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 154.02/154.24 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3655]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_170,plain,
% 154.02/154.24 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3173_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3647,plain,
% 154.02/154.24 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 154.02/154.24 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_170]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3648,plain,
% 154.02/154.24 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 154.02/154.24 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3647]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_166,plain,
% 154.02/154.24 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3175_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3639,plain,
% 154.02/154.24 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_166]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3640,plain,
% 154.02/154.24 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3639]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_164,plain,
% 154.02/154.24 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3176_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3635,plain,
% 154.02/154.24 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_164]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3636,plain,
% 154.02/154.24 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3635]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_162,plain,
% 154.02/154.24 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3177_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3631,plain,
% 154.02/154.24 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_162]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3632,plain,
% 154.02/154.24 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3631]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_160,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3178_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3627,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0 ),
% 154.02/154.24 inference(copy,[status(esa)],[c_160]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3628,plain,
% 154.02/154.24 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnot0__implies__Suc__1__1(X0)) = X0
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3627]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_158,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3179_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3623,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0 ),
% 154.02/154.24 inference(copy,[status(esa)],[c_158]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3624,plain,
% 154.02/154.24 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xnchotomy__1__1(X0)) = X0
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3623]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_156,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3180_1) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3619,plain,
% 154.02/154.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 154.02/154.24 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 154.02/154.24 inference(copy,[status(esa)],[c_156]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3620,plain,
% 154.02/154.24 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0
% 154.02/154.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(rewriting,[status(thm)],[c_3619]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_155,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2593_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3617,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_155]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_154,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2606_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3615,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_154]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_153,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2913_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3613,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_153]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_152,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2914_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3611,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_152]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_151,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3054_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3609,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_151]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_149,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3068_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3605,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_149]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_147,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3074_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3601,plain,
% 154.02/154.24 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_147]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_146,plain,
% 154.02/154.24 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3131_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3599,plain,
% 154.02/154.24 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_146]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_145,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3132_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3597,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_145]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_144,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3133_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3595,plain,
% 154.02/154.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_144]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_143,plain,
% 154.02/154.24 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3134_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3593,plain,
% 154.02/154.24 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_143]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_142,plain,
% 154.02/154.24 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3167_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3591,plain,
% 154.02/154.24 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_142]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_141,plain,
% 154.02/154.24 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3181_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3589,plain,
% 154.02/154.24 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_141]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_140,plain,
% 154.02/154.24 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3182_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3587,plain,
% 154.02/154.24 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_140]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_136,plain,
% 154.02/154.24 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3186_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3579,plain,
% 154.02/154.24 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_136]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_134,plain,
% 154.02/154.24 ( c_Suc(X0) != X0 ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3189_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3575,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_134]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_130,plain,
% 154.02/154.24 ( 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))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2584_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3570,plain,
% 154.02/154.24 ( 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))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_130]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_128,plain,
% 154.02/154.24 ( 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____) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2602_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3567,plain,
% 154.02/154.24 ( 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____) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_128]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_112,plain,
% 154.02/154.24 ( 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)) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2651_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3549,plain,
% 154.02/154.24 ( 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)) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_112]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_92,plain,
% 154.02/154.24 ( 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))) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2854_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3528,plain,
% 154.02/154.24 ( 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))) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_92]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_90,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2864_0) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_3525,plain,
% 154.02/154.24 ( 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) ),
% 154.02/154.24 inference(copy,[status(esa)],[c_90]) ).
% 154.02/154.24
% 154.02/154.24 cnf(c_89,plain,
% 154.02/154.24 ( 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)) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2865_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3523,plain,
% 154.02/154.25 ( 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)) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_89]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_85,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2889_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3517,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_85]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_84,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2890_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3515,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_84]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_81,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_2973_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3511,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_81]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_76,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3023_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3505,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_76]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_75,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3024_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3503,plain,
% 154.02/154.25 ( 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) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_75]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_72,plain,
% 154.02/154.25 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3040_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3499,plain,
% 154.02/154.25 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_72]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_71,plain,
% 154.02/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3060_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3497,plain,
% 154.02/154.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_71]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_70,plain,
% 154.02/154.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3070_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3495,plain,
% 154.02/154.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_70]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_55,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3138_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3475,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_55]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_52,plain,
% 154.02/154.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3142_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3471,plain,
% 154.02/154.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_52]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_50,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3145_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3467,plain,
% 154.02/154.25 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_50]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_49,plain,
% 154.02/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3146_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3465,plain,
% 154.02/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_49]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_40,plain,
% 154.02/154.25 ( c_fequal(X0,X0,X1) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3155_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3455,plain,
% 154.02/154.25 ( c_fequal(X0,X0,X1) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_40]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_38,plain,
% 154.02/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3158_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3452,plain,
% 154.02/154.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_38]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_36,plain,
% 154.02/154.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3160_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3449,plain,
% 154.02/154.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_36]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_33,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3164_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3445,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_33]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_32,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3170_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3443,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_32]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_31,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3171_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3441,plain,
% 154.02/154.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_31]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_29,plain,
% 154.02/154.25 ( class_Power_Opower(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3190_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3438,plain,
% 154.02/154.25 ( class_Power_Opower(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_29]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_28,plain,
% 154.02/154.25 ( class_Orderings_Oorder(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3191_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3436,plain,
% 154.02/154.25 ( class_Orderings_Oorder(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_28]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_27,plain,
% 154.02/154.25 ( class_Orderings_Olinorder(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3192_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3434,plain,
% 154.02/154.25 ( class_Orderings_Olinorder(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_27]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_26,plain,
% 154.02/154.25 ( class_Orderings_Opreorder(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3193_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3432,plain,
% 154.02/154.25 ( class_Orderings_Opreorder(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_26]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_25,plain,
% 154.02/154.25 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3194_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3430,plain,
% 154.02/154.25 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_25]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_24,plain,
% 154.02/154.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3195_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3428,plain,
% 154.02/154.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_24]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_23,plain,
% 154.02/154.25 ( class_Divides_Osemiring__div(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3196_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3426,plain,
% 154.02/154.25 ( class_Divides_Osemiring__div(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_23]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_22,plain,
% 154.02/154.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3197_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3424,plain,
% 154.02/154.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_22]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_21,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3198_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3422,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_21]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_20,plain,
% 154.02/154.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3199_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3420,plain,
% 154.02/154.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_20]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_19,plain,
% 154.02/154.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3200_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3418,plain,
% 154.02/154.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_19]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_18,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3201_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3416,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_18]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_17,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3202_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3414,plain,
% 154.02/154.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_17]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_16,plain,
% 154.02/154.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3203_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3412,plain,
% 154.02/154.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_16]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_15,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3204_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3410,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_15]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_14,plain,
% 154.02/154.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3205_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3408,plain,
% 154.02/154.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_14]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_13,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3206_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3406,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_13]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_12,plain,
% 154.02/154.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3207_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3404,plain,
% 154.02/154.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_12]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_11,plain,
% 154.02/154.25 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3208_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3402,plain,
% 154.02/154.25 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_11]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_10,plain,
% 154.02/154.25 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3209_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3400,plain,
% 154.02/154.25 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_10]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_9,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3210_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3398,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_9]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_8,plain,
% 154.02/154.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3211_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3396,plain,
% 154.02/154.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 154.02/154.25 inference(copy,[status(esa)],[c_8]) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_7,plain,
% 154.02/154.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.02/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3212_0) ).
% 154.02/154.25
% 154.02/154.25 cnf(c_3394,plain,
% 154.08/154.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_7]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_6,plain,
% 154.08/154.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3213_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3392,plain,
% 154.08/154.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_6]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_5,plain,
% 154.08/154.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3214_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3390,plain,
% 154.08/154.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_5]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_4,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3215_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3388,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_4]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3,plain,
% 154.08/154.25 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3216_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3386,plain,
% 154.08/154.25 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_3]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_2,plain,
% 154.08/154.25 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3217_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3384,plain,
% 154.08/154.25 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_2]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_1,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3218_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3382,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_1]) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_0,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.08/154.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_19cc51.p', c_0_3219_0) ).
% 154.08/154.25
% 154.08/154.25 cnf(c_3380,plain,
% 154.08/154.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 154.08/154.25 inference(copy,[status(esa)],[c_0]) ).
% 154.08/154.25
% 154.08/154.25
% 154.08/154.25
% 154.08/154.25 % ------ Statistics
% 154.08/154.25
% 154.08/154.25 % ------ General
% 154.08/154.25
% 154.08/154.25 % num_of_input_clauses: 1464
% 154.08/154.25 % num_of_input_neg_conjectures: 1
% 154.08/154.25 % num_of_splits: 0
% 154.08/154.25 % num_of_split_atoms: 0
% 154.08/154.25 % num_of_sem_filtered_clauses: 0
% 154.08/154.25 % num_of_subtypes: 0
% 154.08/154.25 % monotx_restored_types: 0
% 154.08/154.25 % sat_num_of_epr_types: 0
% 154.08/154.25 % sat_num_of_non_cyclic_types: 0
% 154.08/154.25 % sat_guarded_non_collapsed_types: 0
% 154.08/154.25 % is_epr: 0
% 154.08/154.25 % is_horn: 0
% 154.08/154.25 % has_eq: 1
% 154.08/154.25 % num_pure_diseq_elim: 0
% 154.08/154.25 % simp_replaced_by: 0
% 154.08/154.25 % res_preprocessed: 2
% 154.08/154.25 % prep_upred: 0
% 154.08/154.25 % prep_unflattend: 0
% 154.08/154.25 % pred_elim_cands: 0
% 154.08/154.25 % pred_elim: 0
% 154.08/154.25 % pred_elim_cl: 0
% 154.08/154.25 % pred_elim_cycles: 0
% 154.08/154.25 % forced_gc_time: 0
% 154.08/154.25 % gc_basic_clause_elim: 0
% 154.08/154.25 % parsing_time: 0.087
% 154.08/154.25 % sem_filter_time: 0.
% 154.08/154.25 % pred_elim_time: 0.
% 154.08/154.25 % out_proof_time: 0.
% 154.08/154.25 % monotx_time: 0.
% 154.08/154.25 % subtype_inf_time: 0.
% 154.08/154.25 % unif_index_cands_time: 0.
% 154.08/154.25 % unif_index_add_time: 0.001
% 154.08/154.25 % total_time: 3.519
% 154.08/154.25 % num_of_symbols: 118
% 154.08/154.25 % num_of_terms: 3436
% 154.08/154.25
% 154.08/154.25 % ------ Propositional Solver
% 154.08/154.25
% 154.08/154.25 % prop_solver_calls: 1
% 154.08/154.25 % prop_fast_solver_calls: 3
% 154.08/154.25 % prop_num_of_clauses: 1352
% 154.08/154.25 % prop_preprocess_simplified: 4414
% 154.08/154.25 % prop_fo_subsumed: 0
% 154.08/154.25 % prop_solver_time: 0.
% 154.08/154.25 % prop_fast_solver_time: 0.
% 154.08/154.25 % prop_unsat_core_time: 0.
% 154.08/154.25
% 154.08/154.25 % ------ QBF
% 154.08/154.25
% 154.08/154.25 % qbf_q_res: 0
% 154.08/154.25 % qbf_num_tautologies: 0
% 154.08/154.25 % qbf_prep_cycles: 0
% 154.08/154.25
% 154.08/154.25 % ------ BMC1
% 154.08/154.25
% 154.08/154.25 % bmc1_current_bound: -1
% 154.08/154.25 % bmc1_last_solved_bound: -1
% 154.08/154.25 % bmc1_unsat_core_size: -1
% 154.08/154.25 % bmc1_unsat_core_parents_size: -1
% 154.08/154.25 % bmc1_merge_next_fun: 0
% 154.08/154.25 % bmc1_unsat_core_clauses_time: 0.
% 154.08/154.25
% 154.08/154.25 % ------ Instantiation
% 154.08/154.25
% 154.08/154.25 % inst_num_of_clauses: 1317
% 154.08/154.25 % inst_num_in_passive: 0
% 154.08/154.25 % inst_num_in_active: 0
% 154.08/154.25 % inst_num_in_unprocessed: 1464
% 154.08/154.25 % inst_num_of_loops: 0
% 154.08/154.25 % inst_num_of_learning_restarts: 0
% 154.08/154.25 % inst_num_moves_active_passive: 0
% 154.08/154.25 % inst_lit_activity: 0
% 154.08/154.25 % inst_lit_activity_moves: 0
% 154.08/154.25 % inst_num_tautologies: 0
% 154.08/154.25 % inst_num_prop_implied: 0
% 154.08/154.25 % inst_num_existing_simplified: 0
% 154.08/154.25 % inst_num_eq_res_simplified: 0
% 154.08/154.25 % inst_num_child_elim: 0
% 154.08/154.25 % inst_num_of_dismatching_blockings: 0
% 154.08/154.25 % inst_num_of_non_proper_insts: 0
% 154.08/154.25 % inst_num_of_duplicates: 0
% 154.08/154.25 % inst_inst_num_from_inst_to_res: 0
% 154.08/154.25 % inst_dismatching_checking_time: 0.
% 154.08/154.25
% 154.08/154.25 % ------ Resolution
% 154.08/154.25
% 154.08/154.25 % res_num_of_clauses: 1414
% 154.08/154.25 % res_num_in_passive: 0
% 154.08/154.25 % res_num_in_active: 558
% 154.08/154.25 % res_num_of_loops: 2
% 154.08/154.25 % res_forward_subset_subsumed: 833
% 154.08/154.25 % res_backward_subset_subsumed: 0
% 154.08/154.25 % res_forward_subsumed: 0
% 154.08/154.25 % res_backward_subsumed: 0
% 154.08/154.25 % res_forward_subsumption_resolution: 0
% 154.08/154.25 % res_backward_subsumption_resolution: 0
% 154.08/154.25 % res_clause_to_clause_subsumption: 0
% 154.08/154.25 % res_orphan_elimination: 0
% 154.08/154.25 % res_tautology_del: 0
% 154.08/154.25 % res_num_eq_res_simplified: 0
% 154.08/154.25 % res_num_sel_changes: 0
% 154.08/154.25 % res_moves_from_active_to_pass: 0
% 154.08/154.25
% 154.08/154.25 % Status Unknown
% 154.08/154.25 % Last status :
% 154.08/154.25 % SZS status Unknown
%------------------------------------------------------------------------------