TSTP Solution File: LCL752-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL752-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.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 11:38:59 EDT 2022
% Result : Unknown 157.17s 157.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL752-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 13:28:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % Running in mono-core mode
% 0.47/0.64 % Orienting using strategy Equiv(ClausalAll)
% 0.47/0.64 % Orientation found
% 0.47/0.64 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e22642.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_82d01c | grep -v "SZS"
% 0.51/0.67
% 0.51/0.67 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.51/0.67
% 0.51/0.67 %
% 0.51/0.67 % ------ iProver source info
% 0.51/0.67
% 0.51/0.67 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.51/0.67 % git: non_committed_changes: true
% 0.51/0.67 % git: last_make_outside_of_git: true
% 0.51/0.67
% 0.51/0.67 %
% 0.51/0.67 % ------ Input Options
% 0.51/0.67
% 0.51/0.67 % --out_options all
% 0.51/0.67 % --tptp_safe_out true
% 0.51/0.67 % --problem_path ""
% 0.51/0.67 % --include_path ""
% 0.51/0.67 % --clausifier .//eprover
% 0.51/0.67 % --clausifier_options --tstp-format
% 0.51/0.67 % --stdin false
% 0.51/0.67 % --dbg_backtrace false
% 0.51/0.67 % --dbg_dump_prop_clauses false
% 0.51/0.67 % --dbg_dump_prop_clauses_file -
% 0.51/0.67 % --dbg_out_stat false
% 0.51/0.67
% 0.51/0.67 % ------ General Options
% 0.51/0.67
% 0.51/0.67 % --fof false
% 0.51/0.67 % --time_out_real 150.
% 0.51/0.67 % --time_out_prep_mult 0.2
% 0.51/0.67 % --time_out_virtual -1.
% 0.51/0.67 % --schedule none
% 0.51/0.67 % --ground_splitting input
% 0.51/0.67 % --splitting_nvd 16
% 0.51/0.67 % --non_eq_to_eq false
% 0.51/0.67 % --prep_gs_sim true
% 0.51/0.67 % --prep_unflatten false
% 0.51/0.67 % --prep_res_sim true
% 0.51/0.67 % --prep_upred true
% 0.51/0.67 % --res_sim_input true
% 0.51/0.67 % --clause_weak_htbl true
% 0.51/0.67 % --gc_record_bc_elim false
% 0.51/0.67 % --symbol_type_check false
% 0.51/0.67 % --clausify_out false
% 0.51/0.67 % --large_theory_mode false
% 0.51/0.67 % --prep_sem_filter none
% 0.51/0.67 % --prep_sem_filter_out false
% 0.51/0.67 % --preprocessed_out false
% 0.51/0.67 % --sub_typing false
% 0.51/0.67 % --brand_transform false
% 0.51/0.67 % --pure_diseq_elim true
% 0.51/0.67 % --min_unsat_core false
% 0.51/0.67 % --pred_elim true
% 0.51/0.67 % --add_important_lit false
% 0.51/0.67 % --soft_assumptions false
% 0.51/0.67 % --reset_solvers false
% 0.51/0.67 % --bc_imp_inh []
% 0.51/0.67 % --conj_cone_tolerance 1.5
% 0.51/0.67 % --prolific_symb_bound 500
% 0.51/0.67 % --lt_threshold 2000
% 0.51/0.67
% 0.51/0.67 % ------ SAT Options
% 0.51/0.67
% 0.51/0.67 % --sat_mode false
% 0.51/0.67 % --sat_fm_restart_options ""
% 0.51/0.67 % --sat_gr_def false
% 0.51/0.67 % --sat_epr_types true
% 0.51/0.67 % --sat_non_cyclic_types false
% 0.51/0.67 % --sat_finite_models false
% 0.51/0.67 % --sat_fm_lemmas false
% 0.51/0.67 % --sat_fm_prep false
% 0.51/0.67 % --sat_fm_uc_incr true
% 0.51/0.67 % --sat_out_model small
% 0.51/0.67 % --sat_out_clauses false
% 0.51/0.67
% 0.51/0.67 % ------ QBF Options
% 0.51/0.67
% 0.51/0.67 % --qbf_mode false
% 0.51/0.67 % --qbf_elim_univ true
% 0.51/0.67 % --qbf_sk_in true
% 0.51/0.67 % --qbf_pred_elim true
% 0.51/0.67 % --qbf_split 32
% 0.51/0.67
% 0.51/0.67 % ------ BMC1 Options
% 0.51/0.67
% 0.51/0.67 % --bmc1_incremental false
% 0.51/0.67 % --bmc1_axioms reachable_all
% 0.51/0.67 % --bmc1_min_bound 0
% 0.51/0.67 % --bmc1_max_bound -1
% 0.51/0.67 % --bmc1_max_bound_default -1
% 0.51/0.67 % --bmc1_symbol_reachability true
% 0.51/0.67 % --bmc1_property_lemmas false
% 0.51/0.67 % --bmc1_k_induction false
% 0.51/0.67 % --bmc1_non_equiv_states false
% 0.51/0.67 % --bmc1_deadlock false
% 0.51/0.67 % --bmc1_ucm false
% 0.51/0.67 % --bmc1_add_unsat_core none
% 0.51/0.67 % --bmc1_unsat_core_children false
% 0.51/0.67 % --bmc1_unsat_core_extrapolate_axioms false
% 0.51/0.67 % --bmc1_out_stat full
% 0.51/0.67 % --bmc1_ground_init false
% 0.51/0.67 % --bmc1_pre_inst_next_state false
% 0.51/0.67 % --bmc1_pre_inst_state false
% 0.51/0.67 % --bmc1_pre_inst_reach_state false
% 0.51/0.67 % --bmc1_out_unsat_core false
% 0.51/0.67 % --bmc1_aig_witness_out false
% 0.51/0.67 % --bmc1_verbose false
% 0.51/0.67 % --bmc1_dump_clauses_tptp false
% 150.51/150.68 % --bmc1_dump_unsat_core_tptp false
% 150.51/150.68 % --bmc1_dump_file -
% 150.51/150.68 % --bmc1_ucm_expand_uc_limit 128
% 150.51/150.68 % --bmc1_ucm_n_expand_iterations 6
% 150.51/150.68 % --bmc1_ucm_extend_mode 1
% 150.51/150.68 % --bmc1_ucm_init_mode 2
% 150.51/150.68 % --bmc1_ucm_cone_mode none
% 150.51/150.68 % --bmc1_ucm_reduced_relation_type 0
% 150.51/150.68 % --bmc1_ucm_relax_model 4
% 150.51/150.68 % --bmc1_ucm_full_tr_after_sat true
% 150.51/150.68 % --bmc1_ucm_expand_neg_assumptions false
% 150.51/150.68 % --bmc1_ucm_layered_model none
% 150.51/150.68 % --bmc1_ucm_max_lemma_size 10
% 150.51/150.68
% 150.51/150.68 % ------ AIG Options
% 150.51/150.68
% 150.51/150.68 % --aig_mode false
% 150.51/150.68
% 150.51/150.68 % ------ Instantiation Options
% 150.51/150.68
% 150.51/150.68 % --instantiation_flag true
% 150.51/150.68 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.51/150.68 % --inst_solver_per_active 750
% 150.51/150.68 % --inst_solver_calls_frac 0.5
% 150.51/150.68 % --inst_passive_queue_type priority_queues
% 150.51/150.68 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.51/150.68 % --inst_passive_queues_freq [25;2]
% 150.51/150.68 % --inst_dismatching true
% 150.51/150.68 % --inst_eager_unprocessed_to_passive true
% 150.51/150.68 % --inst_prop_sim_given true
% 150.51/150.68 % --inst_prop_sim_new false
% 150.51/150.68 % --inst_orphan_elimination true
% 150.51/150.68 % --inst_learning_loop_flag true
% 150.51/150.68 % --inst_learning_start 3000
% 150.51/150.68 % --inst_learning_factor 2
% 150.51/150.68 % --inst_start_prop_sim_after_learn 3
% 150.51/150.68 % --inst_sel_renew solver
% 150.51/150.68 % --inst_lit_activity_flag true
% 150.51/150.68 % --inst_out_proof true
% 150.51/150.68
% 150.51/150.68 % ------ Resolution Options
% 150.51/150.68
% 150.51/150.68 % --resolution_flag true
% 150.51/150.68 % --res_lit_sel kbo_max
% 150.51/150.68 % --res_to_prop_solver none
% 150.51/150.68 % --res_prop_simpl_new false
% 150.51/150.68 % --res_prop_simpl_given false
% 150.51/150.68 % --res_passive_queue_type priority_queues
% 150.51/150.68 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.51/150.68 % --res_passive_queues_freq [15;5]
% 150.51/150.68 % --res_forward_subs full
% 150.51/150.68 % --res_backward_subs full
% 150.51/150.68 % --res_forward_subs_resolution true
% 150.51/150.68 % --res_backward_subs_resolution true
% 150.51/150.68 % --res_orphan_elimination false
% 150.51/150.68 % --res_time_limit 1000.
% 150.51/150.68 % --res_out_proof true
% 150.51/150.68 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e22642.s
% 150.51/150.68 % --modulo true
% 150.51/150.68
% 150.51/150.68 % ------ Combination Options
% 150.51/150.68
% 150.51/150.68 % --comb_res_mult 1000
% 150.51/150.68 % --comb_inst_mult 300
% 150.51/150.68 % ------
% 150.51/150.68
% 150.51/150.68 % ------ Parsing...% successful
% 150.51/150.68
% 150.51/150.68 % ------ 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 %
% 150.51/150.68
% 150.51/150.68 % ------ Proving...
% 150.51/150.68 % ------ Problem Properties
% 150.51/150.68
% 150.51/150.68 %
% 150.51/150.68 % EPR false
% 150.51/150.68 % Horn false
% 150.51/150.68 % Has equality true
% 150.51/150.68
% 150.51/150.68 % % ------ Input Options Time Limit: Unbounded
% 150.51/150.68
% 150.51/150.68
% 150.51/150.68 Compiling...
% 150.51/150.68 Loading plugin: done.
% 150.51/150.68 %
% 150.51/150.68
% 150.51/150.68
% 150.51/150.68 % Time Out Real
% 150.51/150.68
% 150.51/150.68 % ------ Statistics
% 150.51/150.68
% 150.51/150.68 % ------ General
% 150.51/150.68
% 150.51/150.68 % num_of_input_clauses: 2648
% 150.51/150.68 % num_of_input_neg_conjectures: 10
% 150.51/150.68 % num_of_splits: 0
% 150.51/150.68 % num_of_split_atoms: 0
% 150.51/150.68 % num_of_sem_filtered_clauses: 0
% 150.51/150.68 % num_of_subtypes: 0
% 150.51/150.68 % monotx_restored_types: 0
% 150.51/150.68 % sat_num_of_epr_types: 0
% 150.51/150.68 % sat_num_of_non_cyclic_types: 0
% 150.51/150.68 % sat_guarded_non_collapsed_types: 0
% 150.51/150.68 % is_epr: 0
% 150.51/150.68 % is_horn: 0
% 150.51/150.68 % has_eq: 1
% 150.51/150.68 % num_pure_diseq_elim: 0
% 150.51/150.68 % simp_replaced_by: 0
% 150.51/150.68 % res_preprocessed: 20
% 150.51/150.68 % prep_upred: 0
% 150.51/150.68 % prep_unflattend: 0
% 150.51/150.68 % pred_elim_cands: 0
% 150.51/150.68 % pred_elim: 0
% 150.51/150.68 % pred_elim_cl: 0
% 150.51/150.68 % pred_elim_cycles: 0
% 150.51/150.68 % forced_gc_time: 0
% 150.51/150.68 % gc_basic_clause_elim: 0
% 150.51/150.68 % parsing_time: 0.152
% 150.51/150.68 % sem_filter_time: 0.
% 150.51/150.68 % pred_elim_time: 0.
% 150.51/150.68 % out_proof_time: 0.
% 150.51/150.68 % monotx_time: 0.
% 150.51/150.68 % subtype_inf_time: 0.
% 150.51/150.68 % unif_index_cands_time: 0.
% 150.51/150.68 % unif_index_add_time: 0.001
% 150.51/150.68 % total_time: 150.026
% 150.51/150.68 % num_of_symbols: 153
% 150.51/150.68 % num_of_terms: 7644
% 150.51/150.68
% 150.51/150.68 % ------ Propositional Solver
% 150.51/150.68
% 150.51/150.68 % prop_solver_calls: 1
% 150.51/150.68 % prop_fast_solver_calls: 81
% 150.51/150.68 % prop_num_of_clauses: 2141
% 150.51/150.68 % prop_preprocess_simplified: 8221
% 150.51/150.68 % prop_fo_subsumed: 0
% 150.51/150.68 % prop_solver_time: 0.
% 150.51/150.68 % prop_fast_solver_time: 0.
% 150.51/150.68 % prop_unsat_core_time: 0.
% 150.51/150.68
% 150.51/150.68 % ------ QBF
% 150.51/150.68
% 150.51/150.68 % qbf_q_res: 0
% 150.51/150.68 % qbf_num_tautologies: 0
% 150.51/150.68 % qbf_prep_cycles: 0
% 150.51/150.68
% 150.51/150.68 % ------ BMC1
% 150.51/150.68
% 150.51/150.68 % bmc1_current_bound: -1
% 150.51/150.68 % bmc1_last_solved_bound: -1
% 150.51/150.68 % bmc1_unsat_core_size: -1
% 150.51/150.68 % bmc1_unsat_core_parents_size: -1
% 150.51/150.68 % bmc1_merge_next_fun: 0
% 150.51/150.68 % bmc1_unsat_core_clauses_time: 0.
% 150.51/150.68
% 150.51/150.68 % ------ Instantiation
% 150.51/150.68
% 150.51/150.68 % inst_num_of_clauses: 2416
% 150.51/150.68 % inst_num_in_passive: 0
% 150.51/150.68 % inst_num_in_active: 0
% 150.51/150.68 % inst_num_in_unprocessed: 2648
% 150.51/150.68 % inst_num_of_loops: 0
% 150.51/150.68 % inst_num_of_learning_restarts: 0
% 150.51/150.68 % inst_num_moves_active_passive: 0
% 150.51/150.68 % inst_lit_activity: 0
% 150.51/150.68 % inst_lit_activity_moves: 0
% 150.51/150.68 % inst_num_tautologies: 0
% 150.51/150.68 % inst_num_prop_implied: 0
% 150.51/150.68 % inst_num_existing_simplified: 0
% 150.51/150.68 % inst_num_eq_res_simplified: 0
% 150.51/150.68 % inst_num_child_elim: 0
% 150.51/150.68 % inst_num_of_dismatching_blockings: 0
% 150.51/150.68 % inst_num_of_non_proper_insts: 0
% 150.51/150.68 % inst_num_of_duplicates: 0
% 150.51/150.68 % inst_inst_num_from_inst_to_res: 0
% 150.51/150.68 % inst_dismatching_checking_time: 0.
% 150.51/150.68
% 150.51/150.68 % ------ Resolution
% 150.51/150.68
% 150.51/150.68 % res_num_of_clauses: 2394
% 150.51/150.68 % res_num_in_passive: 0
% 150.51/150.68 % res_num_in_active: 851
% 150.51/150.68 % res_num_of_loops: 0
% 150.51/150.68 % res_forward_subset_subsumed: 1473
% 150.51/150.68 % res_backward_subset_subsumed: 11
% 150.51/150.68 % res_forward_subsumed: 0
% 150.51/150.68 % res_backward_subsumed: 0
% 150.51/150.68 % res_forward_subsumption_resolution: 0
% 150.51/150.68 % res_backward_subsumption_resolution: 0
% 150.51/150.68 % res_clause_to_clause_subsumption: 0
% 150.51/150.68 % res_orphan_elimination: 0
% 150.51/150.68 % res_tautology_del: 0
% 150.51/150.68 % res_num_eq_res_simplified: 0
% 150.51/150.68 % res_num_sel_changes: 0
% 150.51/150.68 % res_moves_from_active_to_pass: 0
% 150.51/150.68
% 150.51/150.68 % Status Unknown
% 150.55/150.97 % Orienting using strategy ClausalAll
% 150.55/150.97 % Orientation found
% 150.55/150.97 % 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_e22642.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_354991 | grep -v "SZS"
% 150.55/150.99
% 150.55/150.99 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.55/150.99
% 150.55/150.99 %
% 150.55/150.99 % ------ iProver source info
% 150.55/150.99
% 150.55/150.99 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.55/150.99 % git: non_committed_changes: true
% 150.55/150.99 % git: last_make_outside_of_git: true
% 150.55/150.99
% 150.55/150.99 %
% 150.55/150.99 % ------ Input Options
% 150.55/150.99
% 150.55/150.99 % --out_options all
% 150.55/150.99 % --tptp_safe_out true
% 150.55/150.99 % --problem_path ""
% 150.55/150.99 % --include_path ""
% 150.55/150.99 % --clausifier .//eprover
% 150.55/150.99 % --clausifier_options --tstp-format
% 150.55/150.99 % --stdin false
% 150.55/150.99 % --dbg_backtrace false
% 150.55/150.99 % --dbg_dump_prop_clauses false
% 150.55/150.99 % --dbg_dump_prop_clauses_file -
% 150.55/150.99 % --dbg_out_stat false
% 150.55/150.99
% 150.55/150.99 % ------ General Options
% 150.55/150.99
% 150.55/150.99 % --fof false
% 150.55/150.99 % --time_out_real 150.
% 150.55/150.99 % --time_out_prep_mult 0.2
% 150.55/150.99 % --time_out_virtual -1.
% 150.55/150.99 % --schedule none
% 150.55/150.99 % --ground_splitting input
% 150.55/150.99 % --splitting_nvd 16
% 150.55/150.99 % --non_eq_to_eq false
% 150.55/150.99 % --prep_gs_sim true
% 150.55/150.99 % --prep_unflatten false
% 150.55/150.99 % --prep_res_sim true
% 150.55/150.99 % --prep_upred true
% 150.55/150.99 % --res_sim_input true
% 150.55/150.99 % --clause_weak_htbl true
% 150.55/150.99 % --gc_record_bc_elim false
% 150.55/150.99 % --symbol_type_check false
% 150.55/150.99 % --clausify_out false
% 150.55/150.99 % --large_theory_mode false
% 150.55/150.99 % --prep_sem_filter none
% 150.55/150.99 % --prep_sem_filter_out false
% 150.55/150.99 % --preprocessed_out false
% 150.55/150.99 % --sub_typing false
% 150.55/150.99 % --brand_transform false
% 150.55/150.99 % --pure_diseq_elim true
% 150.55/150.99 % --min_unsat_core false
% 150.55/150.99 % --pred_elim true
% 150.55/150.99 % --add_important_lit false
% 150.55/150.99 % --soft_assumptions false
% 150.55/150.99 % --reset_solvers false
% 150.55/150.99 % --bc_imp_inh []
% 150.55/150.99 % --conj_cone_tolerance 1.5
% 150.55/150.99 % --prolific_symb_bound 500
% 150.55/150.99 % --lt_threshold 2000
% 150.55/150.99
% 150.55/150.99 % ------ SAT Options
% 150.55/150.99
% 150.55/150.99 % --sat_mode false
% 150.55/150.99 % --sat_fm_restart_options ""
% 150.55/150.99 % --sat_gr_def false
% 150.55/150.99 % --sat_epr_types true
% 150.55/150.99 % --sat_non_cyclic_types false
% 150.55/150.99 % --sat_finite_models false
% 150.55/150.99 % --sat_fm_lemmas false
% 150.55/150.99 % --sat_fm_prep false
% 150.55/150.99 % --sat_fm_uc_incr true
% 150.55/150.99 % --sat_out_model small
% 150.55/150.99 % --sat_out_clauses false
% 150.55/150.99
% 150.55/150.99 % ------ QBF Options
% 150.55/150.99
% 150.55/150.99 % --qbf_mode false
% 150.55/150.99 % --qbf_elim_univ true
% 150.55/150.99 % --qbf_sk_in true
% 150.55/150.99 % --qbf_pred_elim true
% 150.55/150.99 % --qbf_split 32
% 150.55/150.99
% 150.55/150.99 % ------ BMC1 Options
% 150.55/150.99
% 150.55/150.99 % --bmc1_incremental false
% 150.55/150.99 % --bmc1_axioms reachable_all
% 150.55/150.99 % --bmc1_min_bound 0
% 150.55/150.99 % --bmc1_max_bound -1
% 150.55/150.99 % --bmc1_max_bound_default -1
% 150.55/150.99 % --bmc1_symbol_reachability true
% 150.55/150.99 % --bmc1_property_lemmas false
% 150.55/150.99 % --bmc1_k_induction false
% 150.55/150.99 % --bmc1_non_equiv_states false
% 150.55/150.99 % --bmc1_deadlock false
% 150.55/150.99 % --bmc1_ucm false
% 150.55/150.99 % --bmc1_add_unsat_core none
% 150.55/150.99 % --bmc1_unsat_core_children false
% 150.55/150.99 % --bmc1_unsat_core_extrapolate_axioms false
% 150.55/150.99 % --bmc1_out_stat full
% 150.55/150.99 % --bmc1_ground_init false
% 150.55/150.99 % --bmc1_pre_inst_next_state false
% 150.55/150.99 % --bmc1_pre_inst_state false
% 150.55/150.99 % --bmc1_pre_inst_reach_state false
% 150.55/150.99 % --bmc1_out_unsat_core false
% 150.55/150.99 % --bmc1_aig_witness_out false
% 150.55/150.99 % --bmc1_verbose false
% 150.55/150.99 % --bmc1_dump_clauses_tptp false
% 157.00/157.18 % --bmc1_dump_unsat_core_tptp false
% 157.00/157.18 % --bmc1_dump_file -
% 157.00/157.18 % --bmc1_ucm_expand_uc_limit 128
% 157.00/157.18 % --bmc1_ucm_n_expand_iterations 6
% 157.00/157.18 % --bmc1_ucm_extend_mode 1
% 157.00/157.18 % --bmc1_ucm_init_mode 2
% 157.00/157.18 % --bmc1_ucm_cone_mode none
% 157.00/157.18 % --bmc1_ucm_reduced_relation_type 0
% 157.00/157.18 % --bmc1_ucm_relax_model 4
% 157.00/157.18 % --bmc1_ucm_full_tr_after_sat true
% 157.00/157.18 % --bmc1_ucm_expand_neg_assumptions false
% 157.00/157.18 % --bmc1_ucm_layered_model none
% 157.00/157.18 % --bmc1_ucm_max_lemma_size 10
% 157.00/157.18
% 157.00/157.18 % ------ AIG Options
% 157.00/157.18
% 157.00/157.18 % --aig_mode false
% 157.00/157.18
% 157.00/157.18 % ------ Instantiation Options
% 157.00/157.18
% 157.00/157.18 % --instantiation_flag true
% 157.00/157.18 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 157.00/157.18 % --inst_solver_per_active 750
% 157.00/157.18 % --inst_solver_calls_frac 0.5
% 157.00/157.18 % --inst_passive_queue_type priority_queues
% 157.00/157.18 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 157.00/157.18 % --inst_passive_queues_freq [25;2]
% 157.00/157.18 % --inst_dismatching true
% 157.00/157.18 % --inst_eager_unprocessed_to_passive true
% 157.00/157.18 % --inst_prop_sim_given true
% 157.00/157.18 % --inst_prop_sim_new false
% 157.00/157.18 % --inst_orphan_elimination true
% 157.00/157.18 % --inst_learning_loop_flag true
% 157.00/157.18 % --inst_learning_start 3000
% 157.00/157.18 % --inst_learning_factor 2
% 157.00/157.18 % --inst_start_prop_sim_after_learn 3
% 157.00/157.18 % --inst_sel_renew solver
% 157.00/157.18 % --inst_lit_activity_flag true
% 157.00/157.18 % --inst_out_proof true
% 157.00/157.18
% 157.00/157.18 % ------ Resolution Options
% 157.00/157.18
% 157.00/157.18 % --resolution_flag true
% 157.00/157.18 % --res_lit_sel kbo_max
% 157.00/157.18 % --res_to_prop_solver none
% 157.00/157.18 % --res_prop_simpl_new false
% 157.00/157.18 % --res_prop_simpl_given false
% 157.00/157.18 % --res_passive_queue_type priority_queues
% 157.00/157.18 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 157.00/157.18 % --res_passive_queues_freq [15;5]
% 157.00/157.18 % --res_forward_subs full
% 157.00/157.18 % --res_backward_subs full
% 157.00/157.18 % --res_forward_subs_resolution true
% 157.00/157.18 % --res_backward_subs_resolution true
% 157.00/157.18 % --res_orphan_elimination false
% 157.00/157.18 % --res_time_limit 1000.
% 157.00/157.18 % --res_out_proof true
% 157.00/157.18 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e22642.s
% 157.00/157.18 % --modulo true
% 157.00/157.18
% 157.00/157.18 % ------ Combination Options
% 157.00/157.18
% 157.00/157.18 % --comb_res_mult 1000
% 157.00/157.18 % --comb_inst_mult 300
% 157.00/157.18 % ------
% 157.00/157.18
% 157.00/157.18 % ------ Parsing...% successful
% 157.00/157.18
% 157.00/157.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 157.00/157.18
% 157.00/157.18 % ------ Proving...
% 157.00/157.18 % ------ Problem Properties
% 157.00/157.18
% 157.00/157.18 %
% 157.00/157.18 % EPR false
% 157.00/157.18 % Horn false
% 157.00/157.18 % Has equality true
% 157.00/157.18
% 157.00/157.18 % % ------ Input Options Time Limit: Unbounded
% 157.00/157.18
% 157.00/157.18
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 Compiling...
% 157.00/157.18 Loading plugin: done.
% 157.00/157.18 % % ------ Current options:
% 157.00/157.18
% 157.00/157.18 % ------ Input Options
% 157.00/157.18
% 157.00/157.18 % --out_options all
% 157.00/157.18 % --tptp_safe_out true
% 157.00/157.18 % --problem_path ""
% 157.00/157.18 % --include_path ""
% 157.00/157.18 % --clausifier .//eprover
% 157.00/157.18 % --clausifier_options --tstp-format
% 157.00/157.18 % --stdin false
% 157.00/157.18 % --dbg_backtrace false
% 157.00/157.18 % --dbg_dump_prop_clauses false
% 157.00/157.18 % --dbg_dump_prop_clauses_file -
% 157.00/157.18 % --dbg_out_stat false
% 157.00/157.18
% 157.00/157.18 % ------ General Options
% 157.00/157.18
% 157.00/157.18 % --fof false
% 157.00/157.18 % --time_out_real 150.
% 157.00/157.18 % --time_out_prep_mult 0.2
% 157.00/157.18 % --time_out_virtual -1.
% 157.00/157.18 % --schedule none
% 157.00/157.18 % --ground_splitting input
% 157.00/157.18 % --splitting_nvd 16
% 157.00/157.18 % --non_eq_to_eq false
% 157.00/157.18 % --prep_gs_sim true
% 157.00/157.18 % --prep_unflatten false
% 157.00/157.18 % --prep_res_sim true
% 157.00/157.18 % --prep_upred true
% 157.00/157.18 % --res_sim_input true
% 157.00/157.18 % --clause_weak_htbl true
% 157.00/157.18 % --gc_record_bc_elim false
% 157.00/157.18 % --symbol_type_check false
% 157.00/157.18 % --clausify_out false
% 157.00/157.18 % --large_theory_mode false
% 157.00/157.18 % --prep_sem_filter none
% 157.00/157.18 % --prep_sem_filter_out false
% 157.00/157.18 % --preprocessed_out false
% 157.00/157.18 % --sub_typing false
% 157.00/157.18 % --brand_transform false
% 157.00/157.18 % --pure_diseq_elim true
% 157.00/157.18 % --min_unsat_core false
% 157.00/157.18 % --pred_elim true
% 157.00/157.18 % --add_important_lit false
% 157.00/157.18 % --soft_assumptions false
% 157.00/157.18 % --reset_solvers false
% 157.00/157.18 % --bc_imp_inh []
% 157.00/157.18 % --conj_cone_tolerance 1.5
% 157.00/157.18 % --prolific_symb_bound 500
% 157.00/157.18 % --lt_threshold 2000
% 157.00/157.18
% 157.00/157.18 % ------ SAT Options
% 157.00/157.18
% 157.00/157.18 % --sat_mode false
% 157.00/157.18 % --sat_fm_restart_options ""
% 157.00/157.18 % --sat_gr_def false
% 157.00/157.18 % --sat_epr_types true
% 157.00/157.18 % --sat_non_cyclic_types false
% 157.00/157.18 % --sat_finite_models false
% 157.00/157.18 % --sat_fm_lemmas false
% 157.00/157.18 % --sat_fm_prep false
% 157.00/157.18 % --sat_fm_uc_incr true
% 157.00/157.18 % --sat_out_model small
% 157.00/157.18 % --sat_out_clauses false
% 157.00/157.18
% 157.00/157.18 % ------ QBF Options
% 157.00/157.18
% 157.00/157.18 % --qbf_mode false
% 157.00/157.18 % --qbf_elim_univ true
% 157.00/157.18 % --qbf_sk_in true
% 157.00/157.18 % --qbf_pred_elim true
% 157.00/157.18 % --qbf_split 32
% 157.00/157.18
% 157.00/157.18 % ------ BMC1 Options
% 157.00/157.18
% 157.00/157.18 % --bmc1_incremental false
% 157.00/157.18 % --bmc1_axioms reachable_all
% 157.00/157.18 % --bmc1_min_bound 0
% 157.00/157.18 % --bmc1_max_bound -1
% 157.00/157.18 % --bmc1_max_bound_default -1
% 157.00/157.18 % --bmc1_symbol_reachability true
% 157.00/157.18 % --bmc1_property_lemmas false
% 157.00/157.18 % --bmc1_k_induction false
% 157.00/157.18 % --bmc1_non_equiv_states false
% 157.00/157.18 % --bmc1_deadlock false
% 157.00/157.18 % --bmc1_ucm false
% 157.00/157.18 % --bmc1_add_unsat_core none
% 157.00/157.18 % --bmc1_unsat_core_children false
% 157.00/157.18 % --bmc1_unsat_core_extrapolate_axioms false
% 157.00/157.18 % --bmc1_out_stat full
% 157.00/157.18 % --bmc1_ground_init false
% 157.00/157.18 % --bmc1_pre_inst_next_state false
% 157.00/157.18 % --bmc1_pre_inst_state false
% 157.00/157.18 % --bmc1_pre_inst_reach_state false
% 157.00/157.18 % --bmc1_out_unsat_core false
% 157.00/157.18 % --bmc1_aig_witness_out false
% 157.00/157.18 % --bmc1_verbose false
% 157.00/157.18 % --bmc1_dump_clauses_tptp false
% 157.00/157.18 % --bmc1_dump_unsat_core_tptp false
% 157.00/157.18 % --bmc1_dump_file -
% 157.00/157.18 % --bmc1_ucm_expand_uc_limit 128
% 157.00/157.18 % --bmc1_ucm_n_expand_iterations 6
% 157.00/157.18 % --bmc1_ucm_extend_mode 1
% 157.00/157.18 % --bmc1_ucm_init_mode 2
% 157.00/157.18 % --bmc1_ucm_cone_mode none
% 157.00/157.18 % --bmc1_ucm_reduced_relation_type 0
% 157.00/157.18 % --bmc1_ucm_relax_model 4
% 157.00/157.18 % --bmc1_ucm_full_tr_after_sat true
% 157.00/157.18 % --bmc1_ucm_expand_neg_assumptions false
% 157.00/157.18 % --bmc1_ucm_layered_model none
% 157.00/157.18 % --bmc1_ucm_max_lemma_size 10
% 157.03/157.19
% 157.03/157.19 % ------ AIG Options
% 157.03/157.19
% 157.03/157.19 % --aig_mode false
% 157.03/157.19
% 157.03/157.19 % ------ Instantiation Options
% 157.03/157.19
% 157.03/157.19 % --instantiation_flag true
% 157.03/157.19 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 157.03/157.19 % --inst_solver_per_active 750
% 157.03/157.19 % --inst_solver_calls_frac 0.5
% 157.03/157.19 % --inst_passive_queue_type priority_queues
% 157.03/157.19 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 157.03/157.19 % --inst_passive_queues_freq [25;2]
% 157.03/157.19 % --inst_dismatching true
% 157.03/157.19 % --inst_eager_unprocessed_to_passive true
% 157.03/157.19 % --inst_prop_sim_given true
% 157.03/157.19 % --inst_prop_sim_new false
% 157.03/157.19 % --inst_orphan_elimination true
% 157.03/157.19 % --inst_learning_loop_flag true
% 157.03/157.19 % --inst_learning_start 3000
% 157.03/157.19 % --inst_learning_factor 2
% 157.03/157.19 % --inst_start_prop_sim_after_learn 3
% 157.03/157.19 % --inst_sel_renew solver
% 157.03/157.19 % --inst_lit_activity_flag true
% 157.03/157.19 % --inst_out_proof true
% 157.03/157.19
% 157.03/157.19 % ------ Resolution Options
% 157.03/157.19
% 157.03/157.19 % --resolution_flag true
% 157.03/157.19 % --res_lit_sel kbo_max
% 157.03/157.19 % --res_to_prop_solver none
% 157.03/157.19 % --res_prop_simpl_new false
% 157.03/157.19 % --res_prop_simpl_given false
% 157.03/157.19 % --res_passive_queue_type priority_queues
% 157.03/157.19 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 157.03/157.19 % --res_passive_queues_freq [15;5]
% 157.03/157.19 % --res_forward_subs full
% 157.03/157.19 % --res_backward_subs full
% 157.03/157.19 % --res_forward_subs_resolution true
% 157.03/157.19 % --res_backward_subs_resolution true
% 157.03/157.19 % --res_orphan_elimination false
% 157.03/157.19 % --res_time_limit 1000.
% 157.03/157.19 % --res_out_proof true
% 157.03/157.19 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e22642.s
% 157.03/157.19 % --modulo true
% 157.03/157.19
% 157.03/157.19 % ------ Combination Options
% 157.03/157.19
% 157.03/157.19 % --comb_res_mult 1000
% 157.03/157.19 % --comb_inst_mult 300
% 157.03/157.19 % ------
% 157.03/157.19
% 157.03/157.19
% 157.03/157.19
% 157.03/157.19 % ------ Proving...
% 157.03/157.19 % warning: shown sat in sat incomplete mode
% 157.03/157.19 %
% 157.03/157.19
% 157.03/157.19
% 157.03/157.19
% 157.03/157.19
% 157.03/157.19 cnf(c_2638,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_41) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3371,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_2638]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3411,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3371]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3430,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3411]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3440,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3430]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11275,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3440]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11276,plain,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_HOL_Oone__class_Oone(tc_nat))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(rewriting,[status(thm)],[c_11275]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_2642,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_45) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3379,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_2642]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3415,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3379]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3426,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3415]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3434,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3426]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11263,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3434]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11264,plain,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_HOL_Oone__class_Oone(tc_nat))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(rewriting,[status(thm)],[c_11263]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_2640,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_43) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3375,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_2640]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3413,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3375]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3428,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3413]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3432,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3428]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11259,negated_conjecture,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3432]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11260,plain,
% 157.03/157.19 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_HOL_Oone__class_Oone(tc_nat))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | v_n = v_ja ),
% 157.03/157.19 inference(rewriting,[status(thm)],[c_11259]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_2639,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_42) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3373,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_2639]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3412,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3373]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3429,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3412]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_3431,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3429]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11257,negated_conjecture,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_3431]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11258,plain,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_n,tc_nat),c_Suc(v_ja)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),v_n),c_HOL_Oone__class_Oone(tc_nat))),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.03/157.19 inference(rewriting,[status(thm)],[c_11257]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_2629,plain,
% 157.03/157.19 ( 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)
% 157.03/157.19 | ~ c_Type_Otyping(X0,X1,X5)
% 157.03/157.19 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4515_2) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11239,plain,
% 157.03/157.19 ( 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)
% 157.03/157.19 | ~ c_Type_Otyping(X0,X1,X5)
% 157.03/157.19 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 157.03/157.19 inference(copy,[status(esa)],[c_2629]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11240,plain,
% 157.03/157.19 ( ~ c_Type_Otyping(X0,X1,X2)
% 157.03/157.19 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 157.03/157.19 | 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) ),
% 157.03/157.19 inference(rewriting,[status(thm)],[c_11239]) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_2623,plain,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.19 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0))
% 157.03/157.19 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2),tc_nat),X4)) ),
% 157.03/157.19 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4517_2) ).
% 157.03/157.19
% 157.03/157.19 cnf(c_11227,plain,
% 157.03/157.19 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2),tc_nat),X4)) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2623]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11228,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4))) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11227]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2620,plain,
% 157.03/157.20 ( 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)))
% 157.03/157.20 | ~ 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)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4518_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11221,plain,
% 157.03/157.20 ( 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)))
% 157.03/157.20 | ~ 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)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2620]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11222,plain,
% 157.03/157.20 ( ~ 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)))
% 157.03/157.20 | 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)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11221]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2609,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4522_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11199,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2609]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11200,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11199]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2606,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4523_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11193,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2606]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11194,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X3),tc_nat),X4))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4))) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11193]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2583,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4534_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11147,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2583]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11148,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11147]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2580,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4535_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11141,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2580]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11142,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X4))) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11141]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2574,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4537_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11129,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2574]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11130,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X4))) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11129]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2571,plain,
% 157.03/157.20 ( X0 = X1
% 157.03/157.20 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 157.03/157.20 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4538_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11123,plain,
% 157.03/157.20 ( X0 = X1
% 157.03/157.20 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 157.03/157.20 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2571]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11124,plain,
% 157.03/157.20 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 157.03/157.20 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.03/157.20 | X3 = X4 ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11123]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2562,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X0)) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4542_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11105,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X0)) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2562]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11106,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X2,X0,tc_nat))),X3),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X1)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11105]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2522,plain,
% 157.03/157.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4564_1) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11025,plain,
% 157.03/157.20 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2522]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_11026,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.03/157.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_11025]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2491,plain,
% 157.03/157.20 ( 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)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4581_1) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10963,plain,
% 157.03/157.20 ( 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)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2491]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10964,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.03/157.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),c_Suc(X1))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10963]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2461,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4595_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10903,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2461]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10904,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10903]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2456,plain,
% 157.03/157.20 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4597_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10893,plain,
% 157.03/157.20 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2456]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10894,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 157.03/157.20 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X4) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10893]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2453,plain,
% 157.03/157.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3) = X4
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4598_2) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10887,plain,
% 157.03/157.20 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3) = X4
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2453]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10888,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X3) = X4
% 157.03/157.20 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10887]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2448,plain,
% 157.03/157.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))),X5),X1)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X1)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5),X1)
% 157.03/157.20 | ~ class_Ring__and__Field_Ocomm__ring(X1)
% 157.03/157.20 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4599_4) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10877,plain,
% 157.03/157.20 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))),X5),X1)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X1)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5),X1)
% 157.03/157.20 | ~ class_Ring__and__Field_Ocomm__ring(X1)
% 157.03/157.20 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2448]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10878,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Odvd(X0)
% 157.03/157.20 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 157.03/157.20 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))),X5),X0)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X5),X0)
% 157.03/157.20 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10877]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2436,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X2,X3)),X3),hAPP(X2,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X2,X3)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X2,X0),X3),hAPP(X2,X1)))
% 157.03/157.20 | ~ class_Orderings_Oorder(X3) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4605_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10853,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X2,X3)),X3),hAPP(X2,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X2,X3)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X2,X0),X3),hAPP(X2,X1)))
% 157.03/157.20 | ~ class_Orderings_Oorder(X3) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2436]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10854,plain,
% 157.03/157.20 ( ~ class_Orderings_Oorder(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X1,X0)),X0),hAPP(X1,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X1,X0)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,X2),X0),hAPP(X1,X3)))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10853]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2422,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,X1),X2),hAPP(X0,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X0,X2)),X2),hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X0,X2)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.03/157.20 | ~ class_Orderings_Oorder(X2) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4612_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10825,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,X1),X2),hAPP(X0,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X0,X2)),X2),hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X0,X2)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.03/157.20 | ~ class_Orderings_Oorder(X2) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2422]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10826,plain,
% 157.03/157.20 ( ~ class_Orderings_Oorder(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X1,X0)),X0),hAPP(X1,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1(X1,X0)))))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,X2),X0),hAPP(X1,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10825]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2418,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,X1),X2),hAPP(X0,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X0,X2)),X2),hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X0,X2)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.03/157.20 | ~ class_Orderings_Oorder(X2) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4613_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10817,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,X1),X2),hAPP(X0,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X0,X2)),X2),hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X0,X2)))))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.03/157.20 | ~ class_Orderings_Oorder(X2) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2418]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10818,plain,
% 157.03/157.20 ( ~ class_Orderings_Oorder(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X1,X0)),X0),hAPP(X1,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1(X1,X0)))))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(X1,X2),X0),hAPP(X1,X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10817]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2414,plain,
% 157.03/157.20 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X3))))
% 157.03/157.20 | ~ hBOOL(hAPP(X0,X3)) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4614_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10809,plain,
% 157.03/157.20 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X3))))
% 157.03/157.20 | ~ hBOOL(hAPP(X0,X3)) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2414]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10810,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(X1))))
% 157.03/157.20 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(X2,X0,tc_nat)))
% 157.03/157.20 | ~ hBOOL(hAPP(X3,X1)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10809]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2412,plain,
% 157.03/157.20 ( 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)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4615_1) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10805,plain,
% 157.03/157.20 ( 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)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2412]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10806,plain,
% 157.03/157.20 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.03/157.20 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10805]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2398,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4619_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10777,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2398]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10778,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10777]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2386,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4622_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10753,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2386]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10754,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.20 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10753]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2382,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4623_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10745,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2382]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10746,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.20 | hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.20 inference(rewriting,[status(thm)],[c_10745]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_2378,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.03/157.20 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4624_3) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10737,plain,
% 157.03/157.20 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.20 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.03/157.20 inference(copy,[status(esa)],[c_2378]) ).
% 157.03/157.20
% 157.03/157.20 cnf(c_10738,plain,
% 157.03/157.20 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.20 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.20 | hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.20 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10737]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2346,plain,
% 157.03/157.21 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X0)))) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4632_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10673,plain,
% 157.03/157.21 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X0)))) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2346]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10674,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(X1))))
% 157.03/157.21 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10673]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2340,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,tc_nat),tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat))) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4634_2) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10661,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,tc_nat),tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat))) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2340]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10662,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10661]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2336,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4636_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10653,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2336]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10654,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10653]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2332,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4637_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10645,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2332]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10646,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10645]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2330,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X0),X2)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4638_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10641,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,X0),X2)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2330]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10642,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10641]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2320,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4639_5) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10621,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2320]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10622,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10621]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2314,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4640_5) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10609,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2314]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10610,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10609]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2312,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4641_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10605,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2312]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10606,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10605]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2308,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4641_5) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10597,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2308]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10598,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10597]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2306,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4642_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10593,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2306]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10594,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10593]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2302,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4642_5) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10585,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2302]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10586,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10585]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2300,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X4,X0),X2)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4643_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10581,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X4,X0),X2)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2300]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10582,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10581]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2296,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4643_5) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10573,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2296]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10574,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10573]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2292,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4644_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10565,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2292]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10566,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10565]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2288,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4645_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10557,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2288]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10558,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10557]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2286,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4646_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10553,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2286]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10554,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10553]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2284,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4646_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10549,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2284]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10550,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10549]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2240,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4667_2) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10461,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2240]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10462,plain,
% 157.03/157.21 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10461]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2223,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4672_4) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10427,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2223]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10428,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10427]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2218,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4673_4) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10417,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2218]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10418,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X3,X2,X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10417]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2213,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4674_4) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10407,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2213]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10408,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10407]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2210,plain,
% 157.03/157.21 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 157.03/157.21 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 157.03/157.21 | ~ c_Type_Otyping(X0,X2,X5) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4675_2) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10401,plain,
% 157.03/157.21 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 157.03/157.21 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 157.03/157.21 | ~ c_Type_Otyping(X0,X2,X5) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2210]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10402,plain,
% 157.03/157.21 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 157.03/157.21 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 157.03/157.21 | ~ c_Type_Otyping(X0,X5,X2) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10401]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2167,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4690_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10315,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2167]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10316,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10315]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2162,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4692_0) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10305,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2162]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10306,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10305]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2147,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4695_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10275,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2147]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10276,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10275]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2139,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4697_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10259,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2139]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10260,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10259]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2119,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4702_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10219,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2119]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10220,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10219]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2115,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4703_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10211,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2115]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10212,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10211]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2111,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4704_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10203,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2111]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10204,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10203]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2099,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4708_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10179,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2099]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10180,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10179]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2096,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4708_4) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10173,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2096]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10174,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10173]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2094,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4709_1) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10169,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2094]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10170,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10169]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2091,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4709_4) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10163,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2091]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10164,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10163]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2067,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4715_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10115,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2067]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10116,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10115]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2063,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4716_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10107,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2063]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10108,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1)) ),
% 157.03/157.21 inference(rewriting,[status(thm)],[c_10107]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_2059,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4717_3) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10099,plain,
% 157.03/157.21 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.03/157.21 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.21 inference(copy,[status(esa)],[c_2059]) ).
% 157.03/157.21
% 157.03/157.21 cnf(c_10100,plain,
% 157.03/157.21 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.21 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.03/157.21 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.03/157.21 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10099]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2057,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4718_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10095,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2057]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10096,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10095]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2055,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4718_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10091,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2055]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10092,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10091]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2049,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4720_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10079,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2049]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10080,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10079]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2039,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4722_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10059,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.03/157.22 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2039]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10060,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10059]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2037,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X4)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4723_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10055,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X4)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2037]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10056,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10055]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2026,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4727_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10033,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2026]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10034,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10033]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2023,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4728_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10027,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2023]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10028,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10027]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_2010,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4734_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10001,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),c_HOL_Oone__class_Oone(X2)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_2010]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_10002,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0),c_HOL_Oone__class_Oone(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_10001]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1995,plain,
% 157.03/157.22 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3))
% 157.03/157.22 | ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4739_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9971,plain,
% 157.03/157.22 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3))
% 157.03/157.22 | ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1995]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9972,plain,
% 157.03/157.22 ( ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0)
% 157.03/157.22 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9971]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1966,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1)))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4750_0) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9913,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1)))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1966]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9914,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X4)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9913]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1961,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4751_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9903,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1961]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9904,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9903]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1955,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4753_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9891,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1955]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9892,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9891]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1952,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4754_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9885,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1952]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9886,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9885]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1949,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4755_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9879,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1949]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9880,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9879]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1912,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4767_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9805,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1912]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9806,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9805]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1888,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4773_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9757,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1888]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9758,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9757]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1880,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4775_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9741,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1880]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9742,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9741]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1872,plain,
% 157.03/157.22 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 157.03/157.22 | ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4778_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9725,plain,
% 157.03/157.22 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 157.03/157.22 | ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1872]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9726,plain,
% 157.03/157.22 ( ~ class_Int_Onumber(X0)
% 157.03/157.22 | ~ class_Ring__and__Field_Oring(X0)
% 157.03/157.22 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9725]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1868,plain,
% 157.03/157.22 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X3,X0)),c_Divides_Odiv__class_Odiv(X2,X4,X0))
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0)
% 157.03/157.22 | ~ class_Divides_Osemiring__div(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4779_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9717,plain,
% 157.03/157.22 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X3,X0)),c_Divides_Odiv__class_Odiv(X2,X4,X0))
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X0)
% 157.03/157.22 | ~ class_Divides_Osemiring__div(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1868]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9718,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_Divides_Odiv__class_Odiv(X4,X3,X0)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9717]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1866,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4780_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9713,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1866]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9714,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9713]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1862,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4781_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9705,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1862]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9706,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9705]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1856,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4782_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9693,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1856]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9694,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9693]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1844,plain,
% 157.03/157.22 ( 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)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4787_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9669,plain,
% 157.03/157.22 ( 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)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1844]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9670,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.03/157.22 | 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) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9669]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1842,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4789_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9665,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1842]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9666,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9665]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1840,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4789_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9661,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1840]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9662,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9661]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1838,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4790_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9657,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1))) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1838]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9658,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9657]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1836,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4790_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9653,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1836]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9654,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9653]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1776,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4817_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9533,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1776]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9534,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9533]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1772,plain,
% 157.03/157.22 ( 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)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.03/157.22 | ~ class_Divides_Osemiring__div(X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4818_3) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9525,plain,
% 157.03/157.22 ( 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)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.03/157.22 | ~ class_Divides_Osemiring__div(X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1772]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9526,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.22 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.03/157.22 | 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) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9525]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1764,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4822_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9509,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1764]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9510,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9509]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1763,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4822_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9507,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1763]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9508,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9507]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1761,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4823_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9503,plain,
% 157.03/157.22 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1761]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9504,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9503]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1760,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4823_2) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9501,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1760]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9502,plain,
% 157.03/157.22 ( hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9501]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1734,plain,
% 157.03/157.22 ( ~ class_Divides_Oring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X5),X3),X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4833_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9449,plain,
% 157.03/157.22 ( ~ class_Divides_Oring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X5),X3),X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1734]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9450,plain,
% 157.03/157.22 ( ~ class_Divides_Oring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X5),X3,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9449]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1730,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4834_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9441,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1730]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9442,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9441]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1726,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | 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)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4835_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9433,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 157.03/157.22 | 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)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1726]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9434,plain,
% 157.03/157.22 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.22 | 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)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.03/157.22 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9433]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1708,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.22 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.22 | X1 = X3
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4840_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9397,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.22 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.22 | X1 = X3
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1708]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9398,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X3))
% 157.03/157.22 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 157.03/157.22 | X2 = X1 ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9397]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1704,plain,
% 157.03/157.22 ( X0 = X1
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X3))
% 157.03/157.22 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4840_5) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9389,plain,
% 157.03/157.22 ( X0 = X1
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X3))
% 157.03/157.22 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 157.03/157.22 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1704]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9390,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X3))
% 157.03/157.22 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 157.03/157.22 | X1 = X2 ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9389]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1702,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4841_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9385,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1702]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9386,plain,
% 157.03/157.22 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9385]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1698,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4842_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9377,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1698]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9378,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.03/157.22 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9377]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1694,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4843_1) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9369,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.22 inference(copy,[status(esa)],[c_1694]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_9370,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.22 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.22 inference(rewriting,[status(thm)],[c_9369]) ).
% 157.03/157.22
% 157.03/157.22 cnf(c_1690,plain,
% 157.03/157.22 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.22 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4844_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9361,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1690]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9362,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9361]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1686,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4845_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9353,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1686]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9354,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9353]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1676,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4847_3) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9333,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1676]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9334,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9333]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1674,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4848_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9329,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1674]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9330,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9329]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1670,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4849_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9321,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1670]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9322,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9321]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1666,plain,
% 157.03/157.23 ( X0 = c_Code__Numeral_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Code__Numeral_Onat__of(X0)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),c_Code__Numeral_Onat__of(X0))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4850_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9313,plain,
% 157.03/157.23 ( X0 = c_Code__Numeral_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Code__Numeral_Onat__of(X0)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),c_Code__Numeral_Onat__of(X0))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1666]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9314,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Code__Numeral_Onat__of(X0)),c_HOL_Oone__class_Oone(tc_nat)),tc_nat),c_Code__Numeral_Onat__of(X0)))
% 157.03/157.23 | X0 = c_Code__Numeral_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9313]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1663,plain,
% 157.03/157.23 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X0,X1,X2))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4851_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9307,plain,
% 157.03/157.23 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X0,X1,X2))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1663]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9308,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X0,X1,X2))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9307]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1660,plain,
% 157.03/157.23 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X0,X1,X2))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4852_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9301,plain,
% 157.03/157.23 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X0,X1,X2))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1660]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9302,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.03/157.23 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X0,X1,X2))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9301]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1658,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4853_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9297,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1658]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9298,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9297]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1657,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4853_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9295,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1657]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9296,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9295]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1655,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4854_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9291,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1655]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9292,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9291]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1654,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4854_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9289,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1654]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9290,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9289]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1633,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4864_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9247,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X0,tc_nat),c_Power_Opower__class_Opower(X2,X1,tc_nat),tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1633]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9248,plain,
% 157.03/157.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,tc_nat),c_Power_Opower__class_Opower(X0,X2,tc_nat),tc_nat)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9247]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1623,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4870_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9227,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1623]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9228,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9227]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1615,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4872_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9211,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1615]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9212,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9211]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1611,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4873_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9203,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1611]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9204,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9203]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1607,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4874_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9195,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1607]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9196,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9195]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1605,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4875_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9191,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1605]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9192,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9191]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1596,plain,
% 157.03/157.23 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4879_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9173,plain,
% 157.03/157.23 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1596]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9174,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.03/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9173]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1585,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4882_4) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9151,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1585]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9152,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9151]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1575,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4884_4) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9131,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1575]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9132,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(X2,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9131]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1570,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4885_4) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9121,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.03/157.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1570]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9122,plain,
% 157.03/157.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.03/157.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_lessequals(X2,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9121]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1566,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.03/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4887_3) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9113,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.03/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1566]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9114,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9113]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1536,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4902_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9053,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.03/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1536]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9054,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9053]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1532,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4904_0) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9045,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X2,X0),X4,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X0),X4,X0) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1532]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9046,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X0),X3,X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X4,tc_nat),X2)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9045]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1523,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.23 | X1 = X3
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4909_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9027,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.03/157.23 | X1 = X3
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1523]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9028,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 157.03/157.23 | X2 = X1 ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9027]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1520,plain,
% 157.03/157.23 ( X0 = X1
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X1))
% 157.03/157.23 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 157.03/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4909_4) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9021,plain,
% 157.03/157.23 ( X0 = X1
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X1))
% 157.03/157.23 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 157.03/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1520]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9022,plain,
% 157.03/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.03/157.23 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 157.03/157.23 | X1 = X2 ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9021]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1518,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4910_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9017,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1518]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9018,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9017]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1517,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4910_2) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9015,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1517]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_9016,plain,
% 157.03/157.23 ( ~ class_Divides_Osemiring__div(X0)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_9015]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1495,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4919_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8971,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X0)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1495]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8972,plain,
% 157.03/157.23 ( hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_8971]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1436,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4948_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8853,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1436]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8854,plain,
% 157.03/157.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_8853]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1434,plain,
% 157.03/157.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1),tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4948_3) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8849,plain,
% 157.03/157.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1),tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1434]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8850,plain,
% 157.03/157.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_8849]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1432,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat) ),
% 157.03/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4949_1) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8845,plain,
% 157.03/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat) ),
% 157.03/157.23 inference(copy,[status(esa)],[c_1432]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_8846,plain,
% 157.03/157.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.03/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.03/157.23 inference(rewriting,[status(thm)],[c_8845]) ).
% 157.03/157.23
% 157.03/157.23 cnf(c_1430,plain,
% 157.03/157.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.03/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4949_3) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8841,plain,
% 157.08/157.23 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1430]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8842,plain,
% 157.08/157.23 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.08/157.23 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8841]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1386,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X2,X0,X1)) = X0
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4971_2) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8753,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X2,X0,X1)) = X0
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1386]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8754,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X2,X0,X1)) = X0 ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8753]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1383,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X2,X0,X1)) = X0
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4972_2) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8747,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X2,X0,X1)) = X0
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1383]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8748,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.23 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X2,X0,X1)) = X0 ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8747]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1381,plain,
% 157.08/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.23 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4973_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8743,plain,
% 157.08/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.23 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1381]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8744,plain,
% 157.08/157.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.23 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 157.08/157.23 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8743]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1377,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4974_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8735,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1377]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8736,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8735]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1374,plain,
% 157.08/157.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4974_4) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8729,plain,
% 157.08/157.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1374]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8730,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8729]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1372,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4975_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8725,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1372]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8726,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8725]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1369,plain,
% 157.08/157.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4975_4) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8719,plain,
% 157.08/157.23 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X0))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1369]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8720,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.23 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8719]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1288,plain,
% 157.08/157.23 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.08/157.23 | X0 = X2
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5015_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8557,plain,
% 157.08/157.23 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.08/157.23 | X0 = X2
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1288]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8558,plain,
% 157.08/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)
% 157.08/157.23 | X2 = X1 ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8557]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1286,plain,
% 157.08/157.23 ( X0 = X1
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5015_3) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8553,plain,
% 157.08/157.23 ( X0 = X1
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1286]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8554,plain,
% 157.08/157.23 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)
% 157.08/157.23 | X1 = X2 ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8553]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1282,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5017_0) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8545,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1282]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8546,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8545]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1278,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5018_0) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8537,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1278]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8538,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8537]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1274,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X4,X0),X3)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5019_0) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8529,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X4,X0),X3)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1274]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8530,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X3,X0),X4))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X3) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8529]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1270,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X4,X0),X3))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5020_0) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8521,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X4,X0),X3))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1270]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8522,plain,
% 157.08/157.23 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_lessequals(X3,X0),X4))
% 157.08/157.23 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X1) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8521]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1211,plain,
% 157.08/157.23 ( X0 = X1
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.08/157.23 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 157.08/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5051_3) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8403,plain,
% 157.08/157.23 ( X0 = X1
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.08/157.23 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 157.08/157.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1211]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8404,plain,
% 157.08/157.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.08/157.23 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 157.08/157.23 | X2 = X3 ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8403]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1197,plain,
% 157.08/157.23 ( ~ class_Orderings_Oorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5055_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8375,plain,
% 157.08/157.23 ( ~ class_Orderings_Oorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1197]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8376,plain,
% 157.08/157.23 ( ~ class_Orderings_Oorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8375]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1195,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.08/157.23 | ~ class_Orderings_Oorder(X1) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5055_3) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8371,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.08/157.23 | ~ class_Orderings_Oorder(X1) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1195]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8372,plain,
% 157.08/157.23 ( ~ class_Orderings_Oorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8371]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1193,plain,
% 157.08/157.23 ( ~ class_Orderings_Opreorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5056_1) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8367,plain,
% 157.08/157.23 ( ~ class_Orderings_Opreorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1)) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1193]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8368,plain,
% 157.08/157.23 ( ~ class_Orderings_Opreorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8367]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1191,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.08/157.23 | ~ class_Orderings_Opreorder(X1) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5056_3) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8363,plain,
% 157.08/157.23 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.08/157.23 | ~ class_Orderings_Opreorder(X1) ),
% 157.08/157.23 inference(copy,[status(esa)],[c_1191]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8364,plain,
% 157.08/157.23 ( ~ class_Orderings_Opreorder(X0)
% 157.08/157.23 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.08/157.23 inference(rewriting,[status(thm)],[c_8363]) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_1160,plain,
% 157.08/157.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 157.08/157.23 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.08/157.23 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X3)) ),
% 157.08/157.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5066_0) ).
% 157.08/157.23
% 157.08/157.23 cnf(c_8301,plain,
% 157.08/157.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X3)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1160]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8302,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
% 157.08/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8301]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1156,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X2),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5067_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8293,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X2),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1156]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8294,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8293]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1153,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X2),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5068_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8287,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X2),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1153]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8288,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8287]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1149,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5069_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8279,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1149]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8280,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8279]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1126,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X0))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5077_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8233,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X0))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1126]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8234,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X0)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8233]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1123,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5078_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8227,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1123]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8228,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.08/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8227]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1095,plain,
% 157.08/157.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5092_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8171,plain,
% 157.08/157.24 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1095]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8172,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8171]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1089,plain,
% 157.08/157.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1),tc_nat)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5095_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8159,plain,
% 157.08/157.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1),tc_nat)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1089]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8160,plain,
% 157.08/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8159]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1053,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.08/157.24 | ~ class_Orderings_Opreorder(X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5109_3) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8087,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.08/157.24 | ~ class_Orderings_Opreorder(X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1053]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8088,plain,
% 157.08/157.24 ( ~ class_Orderings_Opreorder(X0)
% 157.08/157.24 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8087]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1050,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5112_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8081,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1050]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8082,plain,
% 157.08/157.24 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.08/157.24 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8081]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1044,plain,
% 157.08/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 157.08/157.24 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Divides_Osemiring__div(X1)
% 157.08/157.24 | ~ class_Int_Onumber(X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5114_3) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8069,plain,
% 157.08/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 157.08/157.24 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Divides_Osemiring__div(X1)
% 157.08/157.24 | ~ class_Int_Onumber(X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1044]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8070,plain,
% 157.08/157.24 ( ~ class_Divides_Osemiring__div(X0)
% 157.08/157.24 | ~ class_Int_Onumber(X0)
% 157.08/157.24 | c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 157.08/157.24 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8069]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1038,plain,
% 157.08/157.24 ( c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 157.08/157.24 | ~ class_Divides_Osemiring__div(X1)
% 157.08/157.24 | ~ class_Int_Onumber(X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5116_3) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8057,plain,
% 157.08/157.24 ( c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 157.08/157.24 | ~ class_Divides_Osemiring__div(X1)
% 157.08/157.24 | ~ class_Int_Onumber(X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1038]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8058,plain,
% 157.08/157.24 ( ~ class_Divides_Osemiring__div(X0)
% 157.08/157.24 | ~ class_Int_Onumber(X0)
% 157.08/157.24 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 157.08/157.24 | c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8057]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1027,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.08/157.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5122_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8035,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.08/157.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1027]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_8036,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.08/157.24 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 157.08/157.24 | X1 = X2 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_8035]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_1002,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X1 = X0
% 157.08/157.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X1)),X2),X0) = hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5134_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7985,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X1 = X0
% 157.08/157.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X1)),X2),X0) = hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_1002]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7986,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X1)),X2),X0) = hAPP(c_Lambda_OdB_OVar,X1)
% 157.08/157.24 | X1 = X0 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7985]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_988,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5138_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7957,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_988]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7958,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,c_Suc(X0)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7957]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_957,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5149_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7895,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_957]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7896,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X0)))
% 157.08/157.24 | X1 = X0 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7895]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_935,plain,
% 157.08/157.24 ( X0 = c_Suc(X1)
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_ATP__Linkup_Osko__Nat__XlessE__1__1(X1,X0)))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5167_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7851,plain,
% 157.08/157.24 ( X0 = c_Suc(X1)
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_ATP__Linkup_Osko__Nat__XlessE__1__1(X1,X0)))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_935]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7852,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_ATP__Linkup_Osko__Nat__XlessE__1__1(X0,X1)))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X1 = c_Suc(X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7851]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_926,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5170_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7833,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_926]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7834,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.08/157.24 | X0 = X1 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7833]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_916,plain,
% 157.08/157.24 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.08/157.24 | X2 = X1 ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5175_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7813,plain,
% 157.08/157.24 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.08/157.24 | X2 = X1 ),
% 157.08/157.24 inference(copy,[status(esa)],[c_916]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7814,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 157.08/157.24 | X1 = X0 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7813]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_914,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5175_3) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7809,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_914]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7810,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 157.08/157.24 | X0 = X1 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7809]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_881,plain,
% 157.08/157.24 ( c_Suc(X0) = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5192_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7743,plain,
% 157.08/157.24 ( c_Suc(X0) = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_881]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7744,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | c_Suc(X0) = X1 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7743]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_774,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5233_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7529,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_774]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7530,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0))))
% 157.08/157.24 | hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7529]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_750,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X0))
% 157.08/157.24 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5245_3) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7481,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X0))
% 157.08/157.24 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_750]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7482,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1))
% 157.08/157.24 | X1 = X2 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7481]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_663,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X1 = X0
% 157.08/157.24 | c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X1),X2,X0) = hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5274_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7307,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | X1 = X0
% 157.08/157.24 | c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X1),X2,X0) = hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_663]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7308,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X1),X2,X0) = hAPP(c_Lambda_OdB_OVar,X1)
% 157.08/157.24 | X1 = X0 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7307]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_644,plain,
% 157.08/157.24 ( ~ c_Lambda_Obeta(X0,X1)
% 157.08/157.24 | ~ c_Type_Otyping(X2,X0,X3)
% 157.08/157.24 | c_Type_Otyping(X2,X1,X3) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5284_0) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7269,plain,
% 157.08/157.24 ( ~ c_Lambda_Obeta(X0,X1)
% 157.08/157.24 | ~ c_Type_Otyping(X2,X0,X3)
% 157.08/157.24 | c_Type_Otyping(X2,X1,X3) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_644]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7270,plain,
% 157.08/157.24 ( ~ c_Type_Otyping(X0,X1,X2)
% 157.08/157.24 | c_Type_Otyping(X0,X3,X2)
% 157.08/157.24 | ~ c_Lambda_Obeta(X1,X3) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7269]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_640,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5285_1) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7261,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_640]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7262,plain,
% 157.08/157.24 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat)))
% 157.08/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7261]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_634,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5288_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7249,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_634]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7250,plain,
% 157.08/157.24 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | X0 = X1 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7249]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_628,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5290_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7237,plain,
% 157.08/157.24 ( X0 = X1
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_628]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7238,plain,
% 157.08/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.08/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.08/157.24 | X0 = X1 ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7237]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_615,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 157.08/157.24 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5296_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7211,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 157.08/157.24 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_615]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7212,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7211]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_612,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5297_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7205,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_612]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7206,plain,
% 157.08/157.24 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 157.08/157.24 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7205]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_574,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Power_Opower(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5319_5) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7129,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Power_Opower(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_574]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7130,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.08/157.24 | ~ class_Power_Opower(X0)
% 157.08/157.24 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.08/157.24 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7129]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_565,plain,
% 157.08/157.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Power_Opower(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5322_4) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7111,plain,
% 157.08/157.24 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.08/157.24 | ~ class_Power_Opower(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_565]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7112,plain,
% 157.08/157.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.08/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.08/157.24 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.08/157.24 | ~ class_Power_Opower(X0)
% 157.08/157.24 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7111]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_541,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5341_2) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7063,plain,
% 157.08/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | c_Power_Opower__class_Opower(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_541]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7064,plain,
% 157.08/157.24 ( c_Power_Opower__class_Opower(X0,X1,tc_nat) != c_HOL_Oone__class_Oone(tc_nat)
% 157.08/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.08/157.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.08/157.24 inference(rewriting,[status(thm)],[c_7063]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_511,plain,
% 157.08/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.08/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5355_0) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7003,plain,
% 157.08/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.08/157.24 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.08/157.24 inference(copy,[status(esa)],[c_511]) ).
% 157.08/157.24
% 157.08/157.24 cnf(c_7004,plain,
% 157.08/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.08/157.24 | X1 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_7003]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_509,plain,
% 157.09/157.24 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5355_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6999,plain,
% 157.09/157.24 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_509]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_7000,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6999]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_497,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.24 | ~ class_Power_Opower(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5359_5) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6975,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.24 | ~ class_Power_Opower(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Omult__zero(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 157.09/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_497]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6976,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.09/157.24 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.09/157.24 | ~ class_Ring__and__Field_Omult__zero(X0)
% 157.09/157.24 | ~ class_Power_Opower(X0)
% 157.09/157.24 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6975]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_488,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5362_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6957,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_488]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6958,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6957]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_485,plain,
% 157.09/157.24 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5363_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6951,plain,
% 157.09/157.24 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_485]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6952,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6951]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_473,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5372_0) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6927,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_473]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6928,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6927]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_471,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5372_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6923,plain,
% 157.09/157.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_471]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6924,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.24 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6923]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_188,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5330_0) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6426,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_188]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6427,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6426]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_179,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5356_0) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6410,plain,
% 157.09/157.24 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_179]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6411,plain,
% 157.09/157.24 ( c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6410]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_159,plain,
% 157.09/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5446_0) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6380,plain,
% 157.09/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_159]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_6381,plain,
% 157.09/157.24 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),X0,tc_nat) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_6380]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2647,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_40) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3389,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2647]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3420,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3389]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3421,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3420]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3439,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3421]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11273,negated_conjecture,
% 157.09/157.24 ( hBOOL(c_List_Olistsp(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_nat),c_All(tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_nat,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_nat),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB))),tc_Lambda_OdB),c_COMBB(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_nat)),c_Lambda_Osubst),c_Lambda_OdB_OVar,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_fun(tc_nat,tc_Lambda_OdB)))))),tc_Lambda_OdB,tc_bool,tc_bool),v_rs,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3439]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2645,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_48) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3385,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2645]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3418,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3385]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3423,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3418]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3437,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3423]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11269,negated_conjecture,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n != v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3437]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2644,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_47) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3383,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2644]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3417,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3383]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3424,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3417]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3436,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3424]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11267,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | v_n = v_ja ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3436]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2641,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_44) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3377,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2641]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3414,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3377]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3427,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3414]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_3433,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3427]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11261,negated_conjecture,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(v_ja,tc_nat),v_n))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_n),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,v_ia),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_rs,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_3433]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2635,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X4)),X2)),X3),X0),X5))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4513_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11251,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X4)),X2)),X3),X0),X5))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2635]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11252,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11251]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2632,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X4)),X2)),X3),X0),X5))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4514_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11245,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X4)),X2)),X3),X0),X5))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2632]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11246,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11245]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2626,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2),tc_nat),X4)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4516_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11233,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2),tc_nat),X4)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2626]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11234,plain,
% 157.09/157.24 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2)),X3),tc_nat),X4))
% 157.09/157.24 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11233]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2617,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4519_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11215,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2617]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11216,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11215]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2614,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4520_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11209,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2614]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11210,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4),X0),X5))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11209]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2612,plain,
% 157.09/157.24 ( hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X3),X3),hAPP(c_COMBB(X2,X3,X1),X4)),hAPP(hAPP(c_COMBB(X2,tc_fun(X1,X2),X3),X5),X0)),X6,X7,X3,X1)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X2,X1)
% 157.09/157.24 | hAPP(X0,hAPP(X4,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4521_1) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11205,plain,
% 157.09/157.24 ( hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X3),X3),hAPP(c_COMBB(X2,X3,X1),X4)),hAPP(hAPP(c_COMBB(X2,tc_fun(X1,X2),X3),X5),X0)),X6,X7,X3,X1)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X2,X1)
% 157.09/157.24 | hAPP(X0,hAPP(X4,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2612]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11206,plain,
% 157.09/157.24 ( hAPP(X0,hAPP(X1,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X1,X2,X3))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X1,X2,X3)
% 157.09/157.24 | hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X4,X3),tc_fun(X4,X2),X2),hAPP(c_COMBB(X3,X2,X4),X1)),hAPP(hAPP(c_COMBB(X3,tc_fun(X4,X3),X2),X5),X0)),X6,X7,X2,X4)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X3,X4) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11205]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2604,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.24 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4525_1) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11189,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.24 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2604]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11190,plain,
% 157.09/157.24 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.24 | c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0)) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11189]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2602,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4526_1) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11185,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2602]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11186,plain,
% 157.09/157.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.09/157.24 | c_List_Olistsum(c_List_Omap(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0)) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11185]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2600,plain,
% 157.09/157.24 ( hBOOL(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))
% 157.09/157.24 | ~ hBOOL(c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB)) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4527_1) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11181,plain,
% 157.09/157.24 ( hBOOL(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))
% 157.09/157.24 | ~ hBOOL(c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB)) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2600]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2598,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),X3)
% 157.09/157.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4528_1) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11177,plain,
% 157.09/157.24 ( c_List_Olistsum(c_List_Omap(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),X3)
% 157.09/157.24 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2598]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11178,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.09/157.24 | c_List_Olistsum(c_List_Omap(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_List_Olistsum(c_List_Omap(X2,X4,X1,X0),X0)),X3) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11177]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2595,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4529_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11171,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2595]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11172,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11171]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2592,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4530_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11165,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2592]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11166,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5))) ),
% 157.09/157.24 inference(rewriting,[status(thm)],[c_11165]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_2589,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.09/157.24 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4532_2) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11159,plain,
% 157.09/157.24 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)))
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)))
% 157.09/157.24 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.09/157.24 inference(copy,[status(esa)],[c_2589]) ).
% 157.09/157.24
% 157.09/157.24 cnf(c_11160,plain,
% 157.09/157.24 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.24 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.24 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11159]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2586,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)))
% 157.09/157.25 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4533_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11153,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)))
% 157.09/157.25 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2586]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11154,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X3,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11153]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2577,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4))) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4536_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11135,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4))) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2577]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11136,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X2,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11135]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2572,plain,
% 157.09/157.25 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 157.09/157.25 | X4 = X3
% 157.09/157.25 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4538_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11125,plain,
% 157.09/157.25 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 157.09/157.25 | X4 = X3
% 157.09/157.25 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2572]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11126,plain,
% 157.09/157.25 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 157.09/157.25 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 157.09/157.25 | X4 = X3 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11125]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2569,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | ~ c_Type_Otypings(X0,X3,X4) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4539_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11119,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | ~ c_Type_Otypings(X0,X3,X4) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2569]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2567,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4540_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11115,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2567]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11116,plain,
% 157.09/157.25 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.25 | c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Ominus__class_Ominus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11115]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2565,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4541_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11111,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2565]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11112,plain,
% 157.09/157.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.09/157.25 | c_Finite__Set_Osetsum(c_COMBS(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Oplus__class_Oplus(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),c_Finite__Set_Osetsum(X3,X4,X1,X0)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11111]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2560,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2)),X4)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4543_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11101,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X3)),X1)),X2)),X4)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X3,tc_nat),X0)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2560]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11102,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X3)),X4) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11101]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2558,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),X3)
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4544_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11097,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),X3)
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2558]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11098,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.09/157.25 | c_Finite__Set_Osetsum(c_COMBC(hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2),X3,X1,X0,X0),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Finite__Set_Osetsum(X2,X4,X1,X0)),X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11097]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2556,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.25 | ~ hBOOL(c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4545_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11093,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 157.09/157.25 | ~ hBOOL(c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2556]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2554,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.09/157.25 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4546_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11089,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.09/157.25 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2554]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11090,plain,
% 157.09/157.25 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11089]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2552,plain,
% 157.09/157.25 ( 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))
% 157.09/157.25 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4547_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11085,plain,
% 157.09/157.25 ( 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))
% 157.09/157.25 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2552]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2550,plain,
% 157.09/157.25 ( c_List_Olist__all2(X0,c_List_Omap(X1,X2,X3,X4),X5,X4,X6)
% 157.09/157.25 | ~ c_List_Olist__all2(hAPP(hAPP(c_COMBB(X4,tc_fun(X6,tc_bool),X3),X0),X1),X2,X5,X3,X6) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4548_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11081,plain,
% 157.09/157.25 ( c_List_Olist__all2(X0,c_List_Omap(X1,X2,X3,X4),X5,X4,X6)
% 157.09/157.25 | ~ c_List_Olist__all2(hAPP(hAPP(c_COMBB(X4,tc_fun(X6,tc_bool),X3),X0),X1),X2,X5,X3,X6) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2550]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11082,plain,
% 157.09/157.25 ( ~ c_List_Olist__all2(hAPP(hAPP(c_COMBB(X0,tc_fun(X1,tc_bool),X2),X3),X4),X5,X6,X2,X1)
% 157.09/157.25 | c_List_Olist__all2(X3,c_List_Omap(X4,X5,X2,X0),X6,X0,X1) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11081]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2547,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4549_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11075,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2547]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11076,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11075]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2544,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4550_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11069,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2544]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11070,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11069]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2542,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4551_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11065,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2542]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11066,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11065]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2540,plain,
% 157.09/157.25 ( c_List_Olist__all2(hAPP(hAPP(c_COMBB(X0,tc_fun(X1,tc_bool),X2),X3),X4),X5,X6,X2,X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X3,c_List_Omap(X4,X5,X2,X0),X6,X0,X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4552_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11061,plain,
% 157.09/157.25 ( c_List_Olist__all2(hAPP(hAPP(c_COMBB(X0,tc_fun(X1,tc_bool),X2),X3),X4),X5,X6,X2,X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X3,c_List_Omap(X4,X5,X2,X0),X6,X0,X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2540]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2538,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4555_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11057,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2538]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11058,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11057]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2536,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4556_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11053,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2536]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11054,plain,
% 157.09/157.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | X1 = X3 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11053]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2534,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4557_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11049,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2534]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11050,plain,
% 157.09/157.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | X0 = X2 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11049]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2532,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4559_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11045,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2532]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11046,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | X0 = X2 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11045]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2530,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4560_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11041,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2530]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11042,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | X1 = X3 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11041]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2528,plain,
% 157.09/157.25 ( 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))
% 157.09/157.25 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4561_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11037,plain,
% 157.09/157.25 ( 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))
% 157.09/157.25 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2528]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11038,plain,
% 157.09/157.25 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 157.09/157.25 | 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)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11037]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2526,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4562_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11033,plain,
% 157.09/157.25 ( X0 = X1
% 157.09/157.25 | 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) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2526]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11034,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | X0 = X2 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11033]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2524,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4563_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11029,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2524]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11030,plain,
% 157.09/157.25 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.09/157.25 | 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) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11029]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2520,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4565_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11021,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X0)),X1)),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X3)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2520]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11022,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.25 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X4)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11021]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2516,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.25 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4566_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11013,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.25 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2516]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11014,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 157.09/157.25 | hBOOL(hAPP(X2,X0))
% 157.09/157.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11013]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2512,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.25 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4567_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11005,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.25 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,tc_nat),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2512]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11006,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 157.09/157.25 | hBOOL(hAPP(X2,X3))
% 157.09/157.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11005]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2510,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 157.09/157.25 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4568_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11001,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 157.09/157.25 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2510]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_11002,plain,
% 157.09/157.25 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_11001]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2508,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4570_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10997,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2508]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10998,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10997]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2506,plain,
% 157.09/157.25 ( c_List_Olistsum(c_List_Omap(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4571_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10993,plain,
% 157.09/157.25 ( c_List_Olistsum(c_List_Omap(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2506]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10994,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.09/157.25 | c_List_Olistsum(c_List_Omap(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_List_Olistsum(c_List_Omap(X3,X4,X1,X0),X0)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10993]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2502,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X1)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4573_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10985,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X1)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2502]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10986,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oring(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X1)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10985]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2498,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4577_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10977,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2498]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10978,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10977]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2493,plain,
% 157.09/157.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X1)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X4))),X3),X1)
% 157.09/157.25 | ~ class_Ring__and__Field_Ocomm__ring(X1)
% 157.09/157.25 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4580_4) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10967,plain,
% 157.09/157.25 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X4,X1)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X4))),X3),X1)
% 157.09/157.25 | ~ class_Ring__and__Field_Ocomm__ring(X1)
% 157.09/157.25 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2493]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10968,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Odvd(X0)
% 157.09/157.25 | ~ class_Ring__and__Field_Ocomm__ring(X0)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))),X5),X0)
% 157.09/157.25 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X5),X0)
% 157.09/157.25 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X0) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10967]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2489,plain,
% 157.09/157.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 157.09/157.25 | 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) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4583_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10959,plain,
% 157.09/157.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 157.09/157.25 | 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) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2489]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10960,plain,
% 157.09/157.25 ( 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)
% 157.09/157.25 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10959]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2487,plain,
% 157.09/157.25 ( hAPP(c_Lambda_OdB_OVar,X0) = X1
% 157.09/157.25 | hAPP(c_Lambda_OdB_OVar,X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4584_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10955,plain,
% 157.09/157.25 ( hAPP(c_Lambda_OdB_OVar,X0) = X1
% 157.09/157.25 | hAPP(c_Lambda_OdB_OVar,X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2487]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10956,plain,
% 157.09/157.25 ( hAPP(c_Lambda_OdB_OVar,X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | hAPP(c_Lambda_OdB_OVar,X0) = X1 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10955]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2485,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | hAPP(c_Lambda_OdB_OVar,X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4585_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10951,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | hAPP(c_Lambda_OdB_OVar,X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2485]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10952,plain,
% 157.09/157.25 ( hAPP(c_Lambda_OdB_OVar,X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10951]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2483,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X2,X0,c_List_Olist_ONil(X3),X1,X3) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4586_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10947,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X2,X0,c_List_Olist_ONil(X3),X1,X3) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2483]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10948,plain,
% 157.09/157.25 ( ~ c_List_Olist__all2(X0,X1,c_List_Olist_ONil(X2),X3,X2)
% 157.09/157.25 | X1 = c_List_Olist_ONil(X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10947]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2481,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X2,c_List_Olist_ONil(X3),X0,X3,X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4587_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10943,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.25 | ~ c_List_Olist__all2(X2,c_List_Olist_ONil(X3),X0,X3,X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2481]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10944,plain,
% 157.09/157.25 ( ~ c_List_Olist__all2(X0,c_List_Olist_ONil(X1),X2,X1,X3)
% 157.09/157.25 | X2 = c_List_Olist_ONil(X3) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10943]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2479,plain,
% 157.09/157.25 ( X0 = X1 | ~ c_List_Olist__all2(c_fequal(X2),X0,X1,X2,X2) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4588_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10939,plain,
% 157.09/157.25 ( X0 = X1 | ~ c_List_Olist__all2(c_fequal(X2),X0,X1,X2,X2) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2479]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10940,plain,
% 157.09/157.25 ( ~ c_List_Olist__all2(c_fequal(X0),X1,X2,X0,X0) | X1 = X2 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10939]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2477,plain,
% 157.09/157.25 ( X0 = c_Lambda_OdB_OAbs(X1)
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4589_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10935,plain,
% 157.09/157.25 ( X0 = c_Lambda_OdB_OAbs(X1)
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2477]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10936,plain,
% 157.09/157.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 157.09/157.25 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10935]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2475,plain,
% 157.09/157.25 ( c_Lambda_OdB_OAbs(X0) = X1
% 157.09/157.25 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4590_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10931,plain,
% 157.09/157.25 ( c_Lambda_OdB_OAbs(X0) = X1
% 157.09/157.25 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2475]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10932,plain,
% 157.09/157.25 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10931]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2473,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4591_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10927,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2473]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10928,plain,
% 157.09/157.25 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 157.09/157.25 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10927]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2471,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4592_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10923,plain,
% 157.09/157.25 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 157.09/157.25 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2471]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10924,plain,
% 157.09/157.25 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 157.09/157.25 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10923]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2468,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4) = X5
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4593_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10917,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4) = X5
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2468]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10918,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oring(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X3)),X4) = X5
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10917]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2465,plain,
% 157.09/157.25 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4594_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10911,plain,
% 157.09/157.25 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 157.09/157.25 | ~ class_Ring__and__Field_Oring(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2465]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10912,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oring(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 157.09/157.25 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X1)),X2)),X5) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10911]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2459,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4596_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10899,plain,
% 157.09/157.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2459]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10900,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Osemiring(X0)
% 157.09/157.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10899]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2445,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4602_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10871,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2445]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10872,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2))))
% 157.09/157.25 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10871]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2442,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4603_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10865,plain,
% 157.09/157.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2442]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10866,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2))))
% 157.09/157.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10865]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2440,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4604_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10861,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2))))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2440]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10862,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10861]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2432,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X1),X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4606_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10845,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X1),X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2432]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10846,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10845]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2428,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),X2))) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4609_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10837,plain,
% 157.09/157.25 ( hBOOL(hAPP(X0,X1))
% 157.09/157.25 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),X2))) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2428]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10838,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X1)))
% 157.09/157.25 | hBOOL(hAPP(X0,X2)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10837]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2426,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4611_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10833,plain,
% 157.09/157.25 ( c_Finite__Set_Osetsum(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Finite__Set_Osetsum(X3,X4,X1,X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2426]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10834,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.09/157.25 | c_Finite__Set_Osetsum(hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3),X4,X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_Finite__Set_Osetsum(X3,X4,X1,X0)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10833]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2410,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4616_1) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10801,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2410]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2406,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X1),X1),c_Power_Opower__class_Opower(X2,X3,X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4617_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10793,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X1),X1),c_Power_Opower__class_Opower(X2,X3,X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2406]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10794,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10793]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2390,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4621_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10761,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X3,X0,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2390]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10762,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X2,tc_nat),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10761]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2374,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4625_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10729,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2374]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10730,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10729]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2370,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4626_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10721,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2370]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10722,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10721]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2366,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4627_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10713,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2366]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10714,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10713]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2362,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4628_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10705,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2362]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10706,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10705]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2358,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4629_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10697,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X1),X1),X3))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2358]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10698,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10697]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2354,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4630_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10689,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2354]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10690,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10689]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2350,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4631_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10681,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2350]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10682,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10681]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2343,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),c_Power_Opower__class_Opower(X0,X1,X2))))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4633_2) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10667,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),c_Power_Opower__class_Opower(X0,X1,X2))))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2343]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10668,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)))) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10667]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2326,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4638_5) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10633,plain,
% 157.09/157.25 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2326]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10634,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10633]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2310,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4641_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10601,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2310]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10602,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X4)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10601]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2304,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4642_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10589,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2304]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10590,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10589]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2298,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4643_3) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10577,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X3)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2298]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10578,plain,
% 157.09/157.25 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X4)) ),
% 157.09/157.25 inference(rewriting,[status(thm)],[c_10577]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2283,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.25 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4647_0) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_10547,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.25 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.25 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.25 inference(copy,[status(esa)],[c_2283]) ).
% 157.09/157.25
% 157.09/157.25 cnf(c_2282,plain,
% 157.09/157.25 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4647_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10545,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2282]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2280,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4647_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10541,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2280]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10542,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10541]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2276,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4648_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10533,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2276]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10534,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10533]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2272,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4649_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10525,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2272]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10526,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10525]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2270,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4650_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10521,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2270]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10522,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10521]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2268,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4651_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10517,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2268]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10518,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10517]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2267,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4652_0) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10515,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2267]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2264,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4652_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10509,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2264]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10510,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10509]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2263,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4653_0) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10507,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2263]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2260,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4653_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10501,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2260]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10502,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10501]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2258,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)))))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4654_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10497,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)))))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2258]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10498,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10497]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2256,plain,
% 157.09/157.26 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 157.09/157.26 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4656_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10493,plain,
% 157.09/157.26 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 157.09/157.26 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2256]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10494,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.09/157.26 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10493]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2252,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4658_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10485,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2252]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10486,plain,
% 157.09/157.26 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10485]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2243,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4666_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10467,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2243]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10468,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10467]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2237,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4668_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10455,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2237]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10456,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10455]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2234,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4669_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10449,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2234]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10450,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10449]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2231,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4670_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10443,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2231]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10444,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10443]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2228,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4671_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10437,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2228]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10438,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10437]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2204,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.26 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.09/157.26 | X2 = X4
% 157.09/157.26 | X1 = X3 ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4677_0) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10389,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.26 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.09/157.26 | X2 = X4
% 157.09/157.26 | X1 = X3 ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2204]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2200,plain,
% 157.09/157.26 ( X0 = X1
% 157.09/157.26 | X2 = X3
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 157.09/157.26 | ~ class_Int_Onumber__ring(X4)
% 157.09/157.26 | ~ class_Ring__and__Field_Oidom(X4) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4677_4) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10381,plain,
% 157.09/157.26 ( X0 = X1
% 157.09/157.26 | X2 = X3
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 157.09/157.26 | ~ class_Int_Onumber__ring(X4)
% 157.09/157.26 | ~ class_Ring__and__Field_Oidom(X4) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2200]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10382,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.26 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 157.09/157.26 | X1 = X3
% 157.09/157.26 | X2 = X4 ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10381]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2198,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4678_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10377,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2198]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2195,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4679_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10371,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2195]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10372,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10371]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2193,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4680_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10367,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2193]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2191,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4681_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10363,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2191]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2189,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4682_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10359,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2189]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10360,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10359]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2187,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4683_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10355,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2187]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10356,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10355]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2185,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4684_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10351,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2185]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10352,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10351]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2183,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4685_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10347,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2183]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10348,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10347]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2179,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4686_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10339,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X3,X1,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2179]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10340,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X3,X2,X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10339]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2171,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4689_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10323,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2171]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10324,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10323]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2163,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4691_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10307,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X3,X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X2),X2),X0))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2163]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10308,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X3,X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10307]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2159,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4692_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10299,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2159]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10300,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10299]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2151,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4694_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10283,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2151]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10284,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10283]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2143,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4696_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10267,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2143]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10268,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10267]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2135,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4698_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10251,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2135]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10252,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10251]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2131,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4699_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10243,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2131]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10244,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10243]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2127,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4700_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10235,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2127]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10236,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10235]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2123,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4701_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10227,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2123]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10228,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10227]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2107,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.09/157.26 | X1 = X3
% 157.09/157.26 | X0 = X2 ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4706_0) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10195,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.09/157.26 | X1 = X3
% 157.09/157.26 | X0 = X2 ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2107]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2105,plain,
% 157.09/157.26 ( X0 = X1
% 157.09/157.26 | X2 = X3
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4706_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10191,plain,
% 157.09/157.26 ( X0 = X1
% 157.09/157.26 | X2 = X3
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2105]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10192,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 157.09/157.26 | X0 = X2
% 157.09/157.26 | X1 = X3 ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10191]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2104,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4707_0) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10189,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2104]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2101,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4707_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10183,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2101]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10184,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10183]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2079,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4712_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10139,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2079]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10140,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10139]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2071,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4714_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10123,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2071]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10124,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10123]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2051,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4719_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10083,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2051]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2047,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4720_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10075,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2047]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10076,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X4)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10075]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2043,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4721_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10067,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2043]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10068,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10067]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2035,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4723_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10051,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2035]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10052,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X4)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10051]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2033,plain,
% 157.09/157.26 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X0),X1),X3),X2,X0)
% 157.09/157.26 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4724_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10047,plain,
% 157.09/157.26 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X0),X1),X3),X2,X0)
% 157.09/157.26 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2033]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10048,plain,
% 157.09/157.26 ( ~ class_Divides_Oring__div(X0)
% 157.09/157.26 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(X0),X1),X3),X2,X0) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10047]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2031,plain,
% 157.09/157.26 ( 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)
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4725_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10043,plain,
% 157.09/157.26 ( 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)
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2031]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10044,plain,
% 157.09/157.26 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.26 | 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) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10043]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2029,plain,
% 157.09/157.26 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4726_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10039,plain,
% 157.09/157.26 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.26 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2029]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10040,plain,
% 157.09/157.26 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.26 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10039]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2021,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4729_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10023,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2021]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10024,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10023]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2019,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4730_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10019,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2019]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10020,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10019]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2017,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 157.09/157.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4731_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10015,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 157.09/157.26 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2017]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10016,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10015]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2014,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0))))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4733_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10009,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0))))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2014]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_10010,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0))))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_10009]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2007,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4735_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9995,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2007]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9996,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9995]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2004,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4736_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9989,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2004]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9990,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9989]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_2001,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4737_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9983,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_2001]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9984,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9983]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1998,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.09/157.26 | ~ class_Int_Onumber(X0)
% 157.09/157.26 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4738_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9977,plain,
% 157.09/157.26 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.09/157.26 | ~ class_Int_Onumber(X0)
% 157.09/157.26 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1998]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9978,plain,
% 157.09/157.26 ( ~ class_Ring__and__Field_Osemiring(X0)
% 157.09/157.26 | ~ class_Int_Onumber(X0)
% 157.09/157.26 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Int_Onumber__class_Onumber__of(X1,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9977]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1993,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4740_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9967,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1993]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1991,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4741_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9963,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1991]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1988,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4742_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9957,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1988]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9958,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9957]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1985,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4743_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9951,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1985]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9952,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9951]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1970,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4748_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9921,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1970]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9922,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9921]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1973,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4747_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9927,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1973]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9928,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9927]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1963,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4750_3) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9907,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X4,X1),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1963]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9908,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.26 | hBOOL(hAPP(c_lessequals(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X4,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9907]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1960,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4751_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9901,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1960]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1957,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4752_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9895,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1957]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9896,plain,
% 157.09/157.26 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9895]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1954,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4753_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9889,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X3)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1954]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1951,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4754_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9883,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1951]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1948,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4755_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9877,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3)) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1948]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1946,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4756_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9873,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1946]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1944,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4757_1) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9869,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.26 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1944]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1941,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4758_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9863,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1941]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9864,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9863]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1938,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.26 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4759_2) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9857,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.26 inference(copy,[status(esa)],[c_1938]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_9858,plain,
% 157.09/157.26 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.26 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.26 inference(rewriting,[status(thm)],[c_9857]) ).
% 157.09/157.26
% 157.09/157.26 cnf(c_1935,plain,
% 157.09/157.26 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.26 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.26 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4760_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9851,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1935]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9852,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9851]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1932,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4761_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9845,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1932]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9846,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9845]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1929,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4762_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9839,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1929]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9840,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9839]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1926,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4763_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9833,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1926]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9834,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9833]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1923,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4764_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9827,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1923]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9828,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9827]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1920,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4765_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9821,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1920]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9822,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9821]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1908,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4768_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9797,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1908]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9798,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9797]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1892,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4772_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9765,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1892]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9766,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9765]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1884,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4774_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9749,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1884]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9750,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9749]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1878,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4776_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9737,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1878]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1875,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 157.09/157.27 | ~ class_Int_Onumber(X0)
% 157.09/157.27 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4777_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9731,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0))
% 157.09/157.27 | ~ class_Int_Onumber(X0)
% 157.09/157.27 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1875]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9732,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Osemiring(X0)
% 157.09/157.27 | ~ class_Int_Onumber(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Int_Onumber__class_Onumber__of(X2,X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),c_Int_Onumber__class_Onumber__of(X2,X0))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),c_Int_Onumber__class_Onumber__of(X2,X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9731]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1870,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X3,X4,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0))
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4779_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9721,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X3,X4,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0))
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1870]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9722,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X4,X3,X0)),c_Divides_Odiv__class_Odiv(X2,X1,X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9721]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1864,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4780_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9709,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1864]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9710,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9709]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1860,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4781_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9701,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1860]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9702,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9701]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1852,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4783_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9685,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1852]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9686,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9685]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1850,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4784_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9681,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1850]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9682,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9681]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1848,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4785_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9677,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1848]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9678,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9677]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1846,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4786_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9673,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1846]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9674,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9673]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1833,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4791_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9647,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1833]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9648,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9647]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1829,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1)))
% 157.09/157.27 | ~ class_Int_Onumber(X1)
% 157.09/157.27 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4792_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9639,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1)))
% 157.09/157.27 | ~ class_Int_Onumber(X1)
% 157.09/157.27 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1829]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9640,plain,
% 157.09/157.27 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.27 | ~ class_Int_Onumber(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9639]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1827,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4793_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9635,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1827]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9636,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9635]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1825,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4794_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9631,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1825]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9632,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9631]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1823,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4795_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9627,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1823]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9628,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9627]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1821,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3),X2,X0)
% 157.09/157.27 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4796_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9623,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3),X2,X0)
% 157.09/157.27 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1821]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9624,plain,
% 157.09/157.27 ( ~ class_Divides_Oring__div(X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X3),X2,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9623]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1815,plain,
% 157.09/157.27 ( 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)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4799_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9611,plain,
% 157.09/157.27 ( 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)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1815]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9612,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | 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) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9611]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1813,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4800_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9607,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1813]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9608,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9607]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1811,plain,
% 157.09/157.27 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X4)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4801_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9603,plain,
% 157.09/157.27 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X4),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X4)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1811]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9604,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hAPP(c_Type_Oshift(X2,X0,X3,X4),X1) = hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9603]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1809,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4802_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9599,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1809]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1807,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4803_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9595,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1807]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1805,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4804_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9591,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1805]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1803,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4805_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9587,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1803]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1797,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4808_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9575,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1797]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1795,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4809_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9571,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1795]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1793,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4810_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9567,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1793]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1791,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4811_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9563,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1791]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1785,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 157.09/157.27 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.27 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4813_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9551,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 157.09/157.27 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.27 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1785]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9552,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.27 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9551]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1783,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4814_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9547,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1783]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9548,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9547]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1781,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4815_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9543,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1781]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9544,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9543]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1779,plain,
% 157.09/157.27 ( 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))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4816_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9539,plain,
% 157.09/157.27 ( 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))
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1779]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9540,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.27 | 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)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9539]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1777,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4817_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9535,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1777]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9536,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9535]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1774,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | 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)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4818_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9529,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | 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)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1774]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9530,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.27 | 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) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9529]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1770,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2))) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4819_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9521,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2))) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1770]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9522,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9521]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1768,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0))) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4820_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9517,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0))) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1768]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9518,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9517]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1766,plain,
% 157.09/157.27 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 157.09/157.27 | ~ c_Type_Otyping(X0,X3,X4) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4821_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9513,plain,
% 157.09/157.27 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 157.09/157.27 | ~ c_Type_Otyping(X0,X3,X4) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1766]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1756,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4824_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9493,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1756]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9494,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9493]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1752,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4825_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9485,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1752]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9486,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9485]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1748,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4826_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9477,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1748]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9478,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9477]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1744,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4827_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9469,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1744]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9470,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9469]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1742,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4828_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9465,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1742]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9466,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.27 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0))),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9465]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1739,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X2,X0,X1))) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4831_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9459,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X2,X0,X1))) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1739]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1736,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X2,X0,X1))) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4832_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9453,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X2,X0,X1))) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1736]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1732,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4833_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9445,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1732]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9446,plain,
% 157.09/157.27 ( ~ class_Divides_Oring__div(X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9445]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1728,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4834_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9437,plain,
% 157.09/157.27 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1728]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9438,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9437]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1724,plain,
% 157.09/157.27 ( 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)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4835_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9429,plain,
% 157.09/157.27 ( 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)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1724]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9430,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | 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)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 157.09/157.27 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9429]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1721,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4836_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9423,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1721]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9424,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9423]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1718,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4837_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9417,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1718]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9418,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9417]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1715,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4838_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9411,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1715]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9412,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9411]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1714,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.27 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4839_0) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9409,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.27 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1714]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1713,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.27 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4839_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9407,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.27 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1713]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1710,plain,
% 157.09/157.27 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4839_4) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9401,plain,
% 157.09/157.27 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 157.09/157.27 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1710]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9402,plain,
% 157.09/157.27 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.27 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.27 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9401]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1700,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4841_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9381,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1700]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9382,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9381]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1696,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4842_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9373,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1696]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9374,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9373]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1692,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4843_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9365,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1692]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9366,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9365]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1688,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4844_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9357,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1688]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9358,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9357]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1684,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4845_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9349,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1684]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9350,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9349]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1680,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4846_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9341,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1680]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9342,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9341]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1672,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4848_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9325,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1672]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9326,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9325]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1668,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4849_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9317,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1668]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9318,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9317]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1652,plain,
% 157.09/157.27 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4855_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9285,plain,
% 157.09/157.27 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X4,tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1652]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9286,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.27 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9285]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1649,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4856_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9279,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1649]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9280,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9279]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1646,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4857_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9273,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.27 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1646]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9274,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9273]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1642,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4858_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9265,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1642]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9266,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X2,X1,X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X2)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9265]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1640,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4861_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9261,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1640]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9262,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),tc_nat),X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9261]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1638,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4862_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9257,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1638]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1636,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X1) = X0
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4863_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9253,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X1) = X0
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1636]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9254,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)))
% 157.09/157.27 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),X0) = X1 ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9253]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1631,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_Suc(X1)),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4865_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9243,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_Suc(X1)),tc_nat),X0))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1631]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9244,plain,
% 157.09/157.27 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_Suc(X1)),tc_nat),X0)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9243]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1629,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4866_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9239,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1629]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9240,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9239]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1625,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4868_1) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9231,plain,
% 157.09/157.27 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 157.09/157.27 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1625]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9232,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.27 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9231]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1621,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4870_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9223,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1621]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9224,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9223]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1613,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4872_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9207,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1613]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9208,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9207]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1609,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4873_3) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9199,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1609]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9200,plain,
% 157.09/157.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.27 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X1,X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.27 | ~ hBOOL(hAPP(c_lessequals(X2,X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9199]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1602,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4877_2) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9185,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.27 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.27 inference(copy,[status(esa)],[c_1602]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_9186,plain,
% 157.09/157.27 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.27 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.27 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.27 inference(rewriting,[status(thm)],[c_9185]) ).
% 157.09/157.27
% 157.09/157.27 cnf(c_1599,plain,
% 157.09/157.27 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4878_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9179,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1599]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9180,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9179]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1597,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4879_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9175,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1597]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9176,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9175]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1593,plain,
% 157.09/157.28 ( c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4880_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9167,plain,
% 157.09/157.28 ( c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1593]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9168,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9167]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1592,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4881_0) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9165,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1592]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1590,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4881_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9161,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1590]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9162,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9161]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1580,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.09/157.28 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4883_4) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9141,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 157.09/157.28 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1580]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9142,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X3))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9141]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1564,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4888_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9109,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1564]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9110,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9109]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1561,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4889_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9103,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1561]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9104,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9103]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1558,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4890_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9097,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1558]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9098,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.28 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9097]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1556,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4891_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9093,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1556]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9094,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9093]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1554,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4892_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9089,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)),X1)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1554]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9090,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X2) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9089]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1552,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4893_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9085,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1552]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9086,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))),X0)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0)
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9085]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1546,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4895_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9073,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1546]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9074,plain,
% 157.09/157.28 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9073]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1543,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4898_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9067,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1543]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9068,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9067]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1540,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4899_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9061,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1540]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9062,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.09/157.28 | c_Suc(c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9061]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1538,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4900_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9057,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1538]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1535,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4902_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9051,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1535]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1533,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4903_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9047,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1533]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9048,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9047]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1529,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X4,X2),X3,X2)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X4))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4904_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9039,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X4,X2),X3,X2)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X4))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1529]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9040,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X0),X3,X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X4)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9039]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1527,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4907_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9035,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1527]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9036,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9035]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1525,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4908_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9031,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1525]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9032,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X3,X2,X0)) = c_Power_Opower__class_Opower(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9031]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1515,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4910_4) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9011,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1515]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9012,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9011]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1513,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0)
% 157.09/157.28 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4911_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9007,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0)
% 157.09/157.28 | ~ class_Divides_Oring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1513]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9008,plain,
% 157.09/157.28 ( ~ class_Divides_Oring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2),X3,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_9007]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1509,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4913_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8999,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1509]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_9000,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8999]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1507,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4914_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8995,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1507]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8996,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | 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) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8995]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1505,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4915_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8991,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1505]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8992,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 157.09/157.28 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8991]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1502,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4916_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8985,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1502]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8986,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 157.09/157.28 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8985]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1499,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4917_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8979,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1499]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8980,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 157.09/157.28 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8979]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1497,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4918_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8975,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1497]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8976,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8975]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1493,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4920_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8967,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1493]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8968,plain,
% 157.09/157.28 ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 157.09/157.28 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8967]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1491,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0)
% 157.09/157.28 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4921_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8963,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0)
% 157.09/157.28 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1491]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8964,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8963]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1489,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4922_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8959,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1489]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8960,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),c_Power_Opower__class_Opower(X1,X3,X0)) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8959]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1486,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4923_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8953,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1486]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8954,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.28 | 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) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8953]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1484,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4924_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8949,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1484]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8950,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8949]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1482,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4925_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8945,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1482]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8946,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8945]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1480,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4926_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8941,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1480]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8942,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | 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) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8941]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1477,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4927_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8935,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1477]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8936,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8935]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1474,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X3,X0)),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4928_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8929,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X3,X0)),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1474]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8930,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X1,X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),X3) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8929]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1471,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4929_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8923,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1471]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8924,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8923]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1469,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4930_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8919,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1469]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8920,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8919]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1467,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4931_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8915,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1467]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8916,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8915]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1462,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | X2 = X3
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 157.09/157.28 | ~ class_Int_Onumber__ring(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4933_4) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8905,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | X2 = X3
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 157.09/157.28 | ~ class_Int_Onumber__ring(X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1462]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8906,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.28 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 157.09/157.28 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.28 | X3 = X4 ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8905]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1460,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4935_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8901,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1460]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8902,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8901]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1457,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4936_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8895,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1457]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8896,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8895]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1454,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4937_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8889,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1454]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8890,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8889]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1451,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4938_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8883,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1451]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8884,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Power_Opower__class_Opower(X1,X2,X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8883]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1447,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1)))
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1)))
% 157.09/157.28 | ~ class_Int_Onumber(X1)
% 157.09/157.28 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4941_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8875,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1)))
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X0,X1)))
% 157.09/157.28 | ~ class_Int_Onumber(X1)
% 157.09/157.28 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1447]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8876,plain,
% 157.09/157.28 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.28 | ~ class_Int_Onumber(X0)
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X0),X0),c_Int_Onumber__class_Onumber__of(X2,X0)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X0),X0),c_Int_Onumber__class_Onumber__of(X1,X0))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8875]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1444,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4942_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8869,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1444]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8870,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8869]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1441,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4944_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8863,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1441]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8864,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8863]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1438,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4945_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8857,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1))
% 157.09/157.28 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1438]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8858,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8857]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1426,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4951_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8833,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1426]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8834,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0)),X1) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8833]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1424,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4952_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8829,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1424]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8830,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8829]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1420,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X4,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X4))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4953_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8821,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X4,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X4))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1420]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8822,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X4,X0),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X4)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8821]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1418,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4954_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8817,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1418]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8818,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8817]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1414,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4955_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8809,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1414]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8810,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8809]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1410,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4956_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8801,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1410]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8802,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8801]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1407,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4957_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8795,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1407]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8796,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)))
% 157.09/157.28 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8795]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1404,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4958_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8789,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2)))
% 157.09/157.28 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1404]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8790,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)))
% 157.09/157.28 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8789]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1397,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.28 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4960_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8775,plain,
% 157.09/157.28 ( 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)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.28 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1397]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8776,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 157.09/157.28 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.28 | 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) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8775]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1395,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4968_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8771,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1395]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8772,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8771]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1392,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | 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))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4969_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8765,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | 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))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1392]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8766,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | 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))
% 157.09/157.28 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8765]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1389,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | 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))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4970_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8759,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.28 | 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))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1389]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8760,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | 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))
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8759]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1379,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4973_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8739,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1379]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8740,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8739]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1367,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4977_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8715,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,X1,tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1367]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1364,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | X1 = X2
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4978_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8709,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | X1 = X2
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1364]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8710,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 157.09/157.28 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | X2 = X3 ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8709]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1362,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0))
% 157.09/157.28 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4980_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8705,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0))
% 157.09/157.28 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1362]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8706,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8705]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1360,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4981_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8701,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1360]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1358,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4982_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8697,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1358]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8698,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8697]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1356,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4983_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8693,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1356]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8694,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.28 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8693]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1353,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4984_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8687,plain,
% 157.09/157.28 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1353]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8688,plain,
% 157.09/157.28 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.28 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8687]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1351,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,X1))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4985_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8683,plain,
% 157.09/157.28 ( hBOOL(hAPP(X0,X1))
% 157.09/157.28 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1351]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8684,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 157.09/157.28 | hBOOL(hAPP(X0,X1)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8683]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1349,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4986_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8679,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1349]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8680,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8679]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1347,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4987_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8675,plain,
% 157.09/157.28 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1347]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8676,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8675]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1344,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X1,X2,X0)) = X2
% 157.09/157.28 | hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4988_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8669,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X1,X2,X0)) = X2
% 157.09/157.28 | hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1344]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8670,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__asm__1__1(X0,X1,X2)) = X1 ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8669]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1341,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X1,X2,X0)) = X2
% 157.09/157.28 | hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4989_2) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8663,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X1,X2,X0)) = X2
% 157.09/157.28 | hBOOL(hAPP(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X0)))
% 157.09/157.28 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1341]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8664,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.28 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.28 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_ATP__Linkup_Osko__Nat__Xnat__diff__split__1__1(X0,X1,X2)) = X1 ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8663]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1335,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4992_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8651,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1335]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8652,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8651]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1333,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.09/157.28 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4993_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8647,plain,
% 157.09/157.28 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 157.09/157.28 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1333]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8648,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 157.09/157.28 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8647]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1327,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4996_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8635,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1327]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8636,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 157.09/157.28 | 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)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8635]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1325,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4997_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8631,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1325]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8632,plain,
% 157.09/157.28 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.09/157.28 | 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)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8631]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1323,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4998_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8627,plain,
% 157.09/157.28 ( 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))
% 157.09/157.28 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1323]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8628,plain,
% 157.09/157.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.28 | 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)) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8627]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1321,plain,
% 157.09/157.28 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),c_HOL_Oone__class_Oone(tc_nat))) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat))) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4999_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8623,plain,
% 157.09/157.28 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),c_HOL_Oone__class_Oone(tc_nat))) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat))) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1321]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8624,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat)))
% 157.09/157.28 | c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat)),c_HOL_Oone__class_Oone(tc_nat))) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8623]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1319,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5000_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8619,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1319]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1317,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5001_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8615,plain,
% 157.09/157.28 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1317]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1313,plain,
% 157.09/157.28 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X2) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5003_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8607,plain,
% 157.09/157.28 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X2) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.28 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1313]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8608,plain,
% 157.09/157.28 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.28 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X1)),X2),X0) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8607]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1307,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5006_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8595,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X3,X2,X0),X0) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1307]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8596,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8595]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1305,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5006_3) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8591,plain,
% 157.09/157.28 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X3,X2),X2)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.28 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.28 inference(copy,[status(esa)],[c_1305]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8592,plain,
% 157.09/157.28 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.28 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.28 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.28 inference(rewriting,[status(thm)],[c_8591]) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_1301,plain,
% 157.09/157.28 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.28 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 157.09/157.28 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5008_1) ).
% 157.09/157.28
% 157.09/157.28 cnf(c_8583,plain,
% 157.09/157.28 ( X0 = c_List_Olist_ONil(X1)
% 157.09/157.29 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1301]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8584,plain,
% 157.09/157.29 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 157.09/157.29 | X1 = c_List_Olist_ONil(X2) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8583]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1299,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)) = c_Power_Opower__class_Opower(X1,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5009_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8579,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)) = c_Power_Opower__class_Opower(X1,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1299]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8580,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)) = c_Power_Opower__class_Opower(X0,X1,tc_nat)
% 157.09/157.29 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8579]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1296,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5010_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8573,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X3))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1296]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8574,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X3)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8573]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1294,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5011_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8569,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1294]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8570,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8569]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1292,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5012_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8565,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1292]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8566,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8565]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1290,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5013_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8561,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1290]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1283,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 157.09/157.29 | 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)
% 157.09/157.29 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5016_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8547,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 157.09/157.29 | 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)
% 157.09/157.29 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1283]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8548,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.29 | 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)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8547]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1279,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5017_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8539,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1279]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8540,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8539]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1275,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5018_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8531,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X0),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1275]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8532,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X4) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8531]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1271,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X0)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5019_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8523,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X0)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1271]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8524,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X1) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8523]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1267,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X0) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5020_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8515,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X0) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3)
% 157.09/157.29 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1267]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8516,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X4))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X4),X3) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8515]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1265,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(c_Suc(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5022_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8511,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(c_Suc(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1265]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8512,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),tc_nat),X0))
% 157.09/157.29 | c_Divides_Odiv__class_Omod(c_Suc(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X0,tc_nat) = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8511]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1259,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5025_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8499,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1259]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1257,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5026_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8495,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1257]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1251,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5029_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8483,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1251]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1249,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5030_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8479,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1249]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1247,plain,
% 157.09/157.29 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 157.09/157.29 | ~ c_Lambda_Obeta(X0,X3) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5031_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8475,plain,
% 157.09/157.29 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 157.09/157.29 | ~ c_Lambda_Obeta(X0,X3) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1247]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1244,plain,
% 157.09/157.29 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5033_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8469,plain,
% 157.09/157.29 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1244]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8470,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8469]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1241,plain,
% 157.09/157.29 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5034_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8463,plain,
% 157.09/157.29 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1241]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8464,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8463]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1238,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5036_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8457,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1238]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8458,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8457]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1235,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5037_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8451,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1235]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8452,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8451]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1232,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5045_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8445,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1232]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8446,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8445]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1229,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(tc_nat),X1),X2),X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5046_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8439,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(tc_nat),X1),X2),X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1229]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8440,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oring__1(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X2))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X1),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8439]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1226,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2) = X1
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5047_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8433,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2) = X1
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1226]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8434,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),X1) = X2 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8433]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1222,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5048_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8425,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1222]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1221,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5048_4) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8423,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1221]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1218,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5049_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8417,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1218]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8418,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8417]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1215,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5050_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8411,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1215]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8412,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8411]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1210,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5052_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8401,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1210]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1209,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5052_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8399,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1209]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1207,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5052_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8395,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1207]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8396,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8395]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1206,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5053_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8393,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1206]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1205,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5053_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8391,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1205]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1203,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5053_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8387,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1203]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8388,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8387]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1202,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5054_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8385,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1202]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1199,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5054_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8379,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1199]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8380,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X3)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8379]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1190,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5057_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8361,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1190]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1187,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5057_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8355,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1187]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8356,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X3,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8355]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1186,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X3,X0),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5058_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8353,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X3,X0),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1186]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1185,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5058_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8351,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1185]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1183,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5058_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8347,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1183]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8348,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8347]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1182,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5059_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8345,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1182]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1181,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5059_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8343,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X3))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X3)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1181]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1179,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5059_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8339,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X3))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1179]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8340,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X3,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X3)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8339]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1175,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X1) = X0
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5061_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8331,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X1) = X0
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1175]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8332,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)),X0) = X1 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8331]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1172,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5062_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8325,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1172]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8326,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8325]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1169,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5063_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8319,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1169]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8320,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8319]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1163,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5065_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8307,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1163]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8308,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8307]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1161,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X3) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5065_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8303,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X3) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1161]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8304,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8303]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1158,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5066_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8297,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
% 157.09/157.29 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1158]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1155,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5067_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8291,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1155]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1151,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3),X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5068_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8283,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3),X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1151]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8284,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8283]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1147,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5069_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8275,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1147]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8276,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8275]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1145,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5070_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8271,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1145]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8272,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8271]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1143,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.29 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5071_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8267,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.29 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1143]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8268,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X1,X2,X0)),X1) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8267]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1140,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5072_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8261,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1140]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1139,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5072_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8259,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1139]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1138,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5072_4) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8257,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1138]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1135,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5073_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8251,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1135]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8252,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 157.09/157.29 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8251]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1132,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5074_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8245,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1132]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8246,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 157.09/157.29 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8245]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1129,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X0))))
% 157.09/157.29 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5076_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8239,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1(X0))))
% 157.09/157.29 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1129]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1121,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5079_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8223,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1121]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8224,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8223]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1119,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5080_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8219,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1119]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8220,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8219]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1117,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5081_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8215,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1117]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8216,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8215]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1115,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1))))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5082_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8211,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1))))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1115]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8212,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8211]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1113,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5084_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8207,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1113]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1111,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5085_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8203,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1111]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8204,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8203]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1109,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5086_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8199,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1109]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8200,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | 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)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8199]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1107,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5087_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8195,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1107]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8196,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.09/157.29 | 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)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8195]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1105,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5088_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8191,plain,
% 157.09/157.29 ( 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))
% 157.09/157.29 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1105]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8192,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.29 | 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)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8191]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1104,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5089_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8189,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1104]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1103,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5089_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8187,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1103]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1102,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5089_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8185,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1102]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1100,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5090_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8181,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1100]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8182,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8181]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1098,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5091_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8177,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1098]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8178,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8177]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1093,plain,
% 157.09/157.29 ( c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X3) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X3),X2,X3)
% 157.09/157.29 | ~ class_OrderedGroup_Omonoid__mult(X3) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5093_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8167,plain,
% 157.09/157.29 ( c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X3) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X3),X2,X3)
% 157.09/157.29 | ~ class_OrderedGroup_Omonoid__mult(X3) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1093]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8168,plain,
% 157.09/157.29 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.09/157.29 | c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X0) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8167]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1091,plain,
% 157.09/157.29 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3),X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5094_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8163,plain,
% 157.09/157.29 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3),X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1091]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8164,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8163]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1088,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5095_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8157,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2),tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1088]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1086,plain,
% 157.09/157.29 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X2) = hAPP(c_Lambda_OdB_OVar,X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5097_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8153,plain,
% 157.09/157.29 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X2) = hAPP(c_Lambda_OdB_OVar,X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1086]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8154,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X2),X1) = hAPP(c_Lambda_OdB_OVar,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8153]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1083,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5098_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8147,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(X0,X3,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.29 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1083]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8148,plain,
% 157.09/157.29 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.29 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X0),X1,X0) = c_Divides_Odiv__class_Omod(X3,X1,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8147]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1080,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),X1,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5099_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8141,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),X1,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1080]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8142,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8141]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1077,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X1,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5100_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8135,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X1,X2)
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1077]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8136,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8135]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1074,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5102_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8129,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1074]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8130,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X2)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8129]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1070,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5104_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8121,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1070]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8122,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.09/157.29 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8121]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1068,plain,
% 157.09/157.29 ( c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X0),X1,X2) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5105_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8117,plain,
% 157.09/157.29 ( c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X0),X1,X2) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1068]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8118,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X1),X2,X0) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8117]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1067,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5106_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8115,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1067]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1066,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5106_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8113,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1066]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1065,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5106_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8111,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1065]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1064,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5106_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8109,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1064]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1063,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5107_0) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8107,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1063]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1061,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5107_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8103,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1061]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1060,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5107_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8101,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1060]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1057,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5108_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8095,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1057]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8096,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8095]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1055,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5109_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8091,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1055]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1048,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5113_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8077,plain,
% 157.09/157.29 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 157.09/157.29 | ~ hBOOL(hAPP(X0,X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1048]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1036,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5117_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8053,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0)
% 157.09/157.29 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1036]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8054,plain,
% 157.09/157.29 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),c_HOL_Ozero__class_Ozero(X0)),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8053]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1034,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5119_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8049,plain,
% 157.09/157.29 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1034]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8050,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 157.09/157.29 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8049]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1030,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5121_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8041,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1)))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1030]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8042,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.09/157.29 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1))) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8041]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1025,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5124_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8031,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1025]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8032,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8031]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1023,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5125_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8027,plain,
% 157.09/157.29 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1023]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8028,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.29 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8027]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1021,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5126_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8023,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1021]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8024,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8023]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1019,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5127_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8019,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1019]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1017,plain,
% 157.09/157.29 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 157.09/157.29 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5128_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8015,plain,
% 157.09/157.29 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 157.09/157.29 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1017]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8016,plain,
% 157.09/157.29 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 157.09/157.29 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_8015]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1015,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5129_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8011,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1015]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1014,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5129_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8009,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1014]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1013,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5129_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8007,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1013]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1011,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5130_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8003,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1011]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1010,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5130_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_8001,plain,
% 157.09/157.29 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1010]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1009,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5130_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7999,plain,
% 157.09/157.29 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.29 | c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.29 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1009]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1007,plain,
% 157.09/157.29 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X0)),X1)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5131_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7995,plain,
% 157.09/157.29 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X0)),X1)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1007]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7996,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.29 | c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X1)),X0) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7995]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_1005,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5132_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7991,plain,
% 157.09/157.29 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.29 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_1005]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_990,plain,
% 157.09/157.29 ( X0 = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X2),X0))
% 157.09/157.29 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5137_3) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7961,plain,
% 157.09/157.29 ( X0 = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X2),X0))
% 157.09/157.29 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_990]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7962,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.09/157.29 | X1 = X2 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7961]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_992,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | X2 = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5137_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7965,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | X2 = X1
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_992]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7966,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X0),X1))
% 157.09/157.29 | X2 = X1 ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7965]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_985,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5139_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7951,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_985]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7952,plain,
% 157.09/157.29 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7951]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_982,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5140_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7945,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_982]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7946,plain,
% 157.09/157.29 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7945]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_976,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5142_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7933,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_976]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7934,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7933]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_973,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5143_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7927,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_973]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7928,plain,
% 157.09/157.29 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7927]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_967,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5145_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7915,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_967]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7916,plain,
% 157.09/157.29 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7915]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_964,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5146_2) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7909,plain,
% 157.09/157.29 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X0))
% 157.09/157.29 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.29 inference(copy,[status(esa)],[c_964]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7910,plain,
% 157.09/157.29 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.29 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X1))
% 157.09/157.29 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X1)) ),
% 157.09/157.29 inference(rewriting,[status(thm)],[c_7909]) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_962,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X2) = X1
% 157.09/157.29 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.09/157.29 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5147_1) ).
% 157.09/157.29
% 157.09/157.29 cnf(c_7905,plain,
% 157.09/157.29 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X2) = X1
% 157.09/157.29 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_962]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7906,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X2) = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7905]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_960,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X2) = X1
% 157.09/157.30 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5148_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7901,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X2) = X1
% 157.09/157.30 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_960]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7902,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2)),X2) = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7901]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_955,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5151_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7891,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_955]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_951,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5156_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7883,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_951]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7884,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7883]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_949,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5157_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7879,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_949]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7880,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0)) = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7879]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_947,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Lambda_Oliftn(X2,hAPP(c_Lambda_OdB_OVar,X0),X1) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5158_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7875,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Lambda_Oliftn(X2,hAPP(c_Lambda_OdB_OVar,X0),X1) = hAPP(c_Lambda_OdB_OVar,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_947]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_945,plain,
% 157.09/157.30 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X0) = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5163_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7871,plain,
% 157.09/157.30 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X0) = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_945]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7872,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0))
% 157.09/157.30 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(c_Lambda_OdB_OVar,X0)),X1),X0) = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7871]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_943,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5164_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7867,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_943]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7868,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7867]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_941,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5165_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7863,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_941]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7864,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7863]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_938,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = X2
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5166_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7857,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = X2
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_938]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7858,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0)) = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7857]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_932,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5168_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7845,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_932]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7846,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7845]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_929,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5169_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7839,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_929]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7840,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7839]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_927,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5170_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7835,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_927]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7836,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,tc_nat),X0))
% 157.09/157.30 | X1 = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7835]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_924,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5171_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7829,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_924]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7830,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.09/157.30 | 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) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7829]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_922,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5172_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7825,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_922]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7826,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7825]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_918,plain,
% 157.09/157.30 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5174_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7817,plain,
% 157.09/157.30 ( c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_918]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7818,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.30 | c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7817]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_913,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5176_0) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7807,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_913]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_912,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5176_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7805,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_912]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_910,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5176_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7801,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_910]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7802,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7801]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_908,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5177_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7797,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_908]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7798,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7797]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_904,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5179_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7789,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_904]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7790,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7789]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_902,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5180_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7785,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_902]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7786,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7785]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_900,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5181_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7781,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 157.09/157.30 inference(copy,[status(esa)],[c_900]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7782,plain,
% 157.09/157.30 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 157.09/157.30 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7781]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_896,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5183_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7773,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_896]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_894,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5184_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7769,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_894]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_892,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5187_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7765,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_892]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_886,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5190_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7753,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_886]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7754,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7753]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_884,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.30 | ~ class_Power_Opower(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5191_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7749,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0)
% 157.09/157.30 | ~ class_Power_Opower(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_884]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7750,plain,
% 157.09/157.30 ( ~ class_Power_Opower(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Power_Opower__class_Opower(X1,X2,X0)) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7749]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_879,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5193_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7739,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_879]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7740,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7739]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_871,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X0))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,X2),X0))
% 157.09/157.30 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5195_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7723,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X2),X0))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,X2),X0))
% 157.09/157.30 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_871]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7724,plain,
% 157.09/157.30 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | X2 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7723]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_855,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X1))
% 157.09/157.30 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5199_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7691,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X2),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,X2),X1))
% 157.09/157.30 | ~ class_Orderings_Oorder(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_855]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7692,plain,
% 157.09/157.30 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7691]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_847,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | X0 = X2
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5201_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7675,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | X0 = X2
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_847]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7676,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7675]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_846,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5202_0) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7673,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_846]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_845,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5202_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7671,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_845]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_844,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5202_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7669,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_844]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_841,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | X0 = c_Suc(X1)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5203_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7663,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | X0 = c_Suc(X1)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_841]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7664,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | X0 = c_Suc(X1) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7663]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_837,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5205_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7655,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_837]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_834,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5206_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7649,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_834]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7650,plain,
% 157.09/157.30 ( ~ class_Orderings_Oorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7649]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_831,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5207_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7643,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | ~ class_Orderings_Opreorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_831]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7644,plain,
% 157.09/157.30 ( ~ class_Orderings_Opreorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7643]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_829,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5208_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7639,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_829]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7640,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | 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) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7639]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_827,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5209_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7635,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_827]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7636,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | 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) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7635]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_821,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5211_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7623,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_821]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7624,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7623]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_818,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X0 = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5212_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7617,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X0 = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_818]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7618,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X0 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7617]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_816,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5213_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7613,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_816]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_814,plain,
% 157.09/157.30 ( hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5214_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7609,plain,
% 157.09/157.30 ( hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_814]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7610,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_Lambda_Olift,hAPP(c_Lambda_OdB_OVar,X0)),X1) = hAPP(c_Lambda_OdB_OVar,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7609]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_812,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5215_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7605,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_812]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_810,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5216_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7601,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_810]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7602,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7601]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_808,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = X0 ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5217_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7597,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)) = X0 ),
% 157.09/157.30 inference(copy,[status(esa)],[c_808]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_806,plain,
% 157.09/157.30 ( c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5218_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7593,plain,
% 157.09/157.30 ( c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_806]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7594,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0))
% 157.09/157.30 | c_Lambda_Osubstn(hAPP(c_Lambda_OdB_OVar,X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7593]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_804,plain,
% 157.09/157.30 ( c_Lambda_Oliftn(X0,hAPP(c_Lambda_OdB_OVar,X1),X2) = hAPP(c_Lambda_OdB_OVar,X1)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5219_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7589,plain,
% 157.09/157.30 ( c_Lambda_Oliftn(X0,hAPP(c_Lambda_OdB_OVar,X1),X2) = hAPP(c_Lambda_OdB_OVar,X1)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_804]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7590,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Lambda_Oliftn(X2,hAPP(c_Lambda_OdB_OVar,X0),X1) = hAPP(c_Lambda_OdB_OVar,X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7589]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_802,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5220_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7585,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_802]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_800,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5221_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7581,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_800]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7582,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7581]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_796,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5223_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7573,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_796]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_794,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5224_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7569,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_794]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7570,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.09/157.30 | 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) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7569]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_785,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5227_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7551,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_785]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7552,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X0 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7551]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_781,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5229_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7543,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_781]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_779,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5231_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7539,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_779]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7540,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7539]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_777,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5232_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7535,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_777]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7536,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(c_HOL_Oone__class_Oone(X0),X0),c_HOL_Ozero__class_Ozero(X0))) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7535]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_772,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5234_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7525,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1)) = X1
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_772]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7526,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1(X0,X1)) = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7525]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_770,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5236_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7521,plain,
% 157.09/157.30 ( 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)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_770]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7522,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | 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) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7521]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_768,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5237_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7517,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_768]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7518,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7517]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_764,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_Int_Onumber__ring(X2)
% 157.09/157.30 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5238_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7509,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_Int_Onumber__ring(X2)
% 157.09/157.30 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_764]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7510,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.09/157.30 | ~ class_Int_Onumber__ring(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.09/157.30 | X2 = X3 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7509]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_762,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 157.09/157.30 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5239_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7505,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 157.09/157.30 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_762]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_760,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 157.09/157.30 | ~ c_Lambda_Obeta(X1,X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5240_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7501,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 157.09/157.30 | ~ c_Lambda_Obeta(X1,X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_760]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_758,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 157.09/157.30 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5241_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7497,plain,
% 157.09/157.30 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,X0),X1),hAPP(hAPP(c_Lambda_Olift,X2),X1))
% 157.09/157.30 | ~ c_Lambda_Obeta(X0,X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_758]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_756,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5243_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7493,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(c_Suc(X1),tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_756]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7494,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7493]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_754,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5244_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7489,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_754]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7490,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7489]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_752,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | X2 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5245_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7485,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | X2 = X1
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_752]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7486,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1))
% 157.09/157.30 | X2 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7485]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_737,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | X1 = X2
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5249_0) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7455,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | X1 = X2
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_737]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7456,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1))
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7455]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_734,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.30 | X2 = X0
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5249_3) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7449,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.30 | X2 = X0
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_734]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7450,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1))
% 157.09/157.30 | X2 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7449]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_731,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5250_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7443,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_731]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7444,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1(X0,X1)) = X0
% 157.09/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7443]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_729,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5251_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7439,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_729]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7440,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7439]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_726,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5252_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7433,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X3) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_726]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7434,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X2),X3)
% 157.09/157.30 | X2 = X3 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7433]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_723,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X3)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5253_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7427,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X3)
% 157.09/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_723]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7428,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X3),X3)
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7427]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_720,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5254_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7421,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_720]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7422,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 157.09/157.30 | X1 = X3 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7421]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_717,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5255_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7415,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_717]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7416,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.09/157.30 | X2 = X3 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7415]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_714,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5256_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7409,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 157.09/157.30 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_714]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7410,plain,
% 157.09/157.30 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 157.09/157.30 | X2 = X3 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7409]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_712,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5257_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7405,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_712]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7406,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7405]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_703,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5260_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7387,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_703]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7388,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,X0),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7387]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_700,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5261_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7381,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_700]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7382,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,X0),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7381]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_697,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5262_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7375,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X2))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X2,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_697]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7376,plain,
% 157.09/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,X0),X2))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X2,X0),X1)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7375]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_694,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5263_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7369,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_694]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7370,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 157.09/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7369]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_691,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5264_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7363,plain,
% 157.09/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_691]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7364,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 157.09/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7363]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_689,plain,
% 157.09/157.30 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5265_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7359,plain,
% 157.09/157.30 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_689]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7360,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2)) | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7359]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_668,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5272_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7317,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_668]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7318,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.30 | X0 = X1 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7317]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_669,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5272_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7319,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_669]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7320,plain,
% 157.09/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_nat)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_nat)
% 157.09/157.30 | X1 = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7319]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_666,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5273_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7313,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_666]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7314,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7313]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_661,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5275_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7303,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_661]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7304,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7303]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_659,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5276_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7299,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_659]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7300,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7299]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_655,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5278_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7291,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)))
% 157.09/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_655]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7292,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0))) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7291]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_653,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X0))) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5279_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7287,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),c_Suc(X0))) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_653]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7288,negated_conjecture,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X1)))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7287]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_649,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5281_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7279,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Odvd(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_649]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7280,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Odvd(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7279]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_647,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5282_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7275,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_647]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7276,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7275]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_645,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5283_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7271,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X1)
% 157.09/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_645]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7272,plain,
% 157.09/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7271]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_642,plain,
% 157.09/157.30 ( c_Type_Otyping(X0,X1,X2)
% 157.09/157.30 | ~ c_Type_Otyping(X0,X3,X2)
% 157.09/157.30 | ~ c_Lambda_Obeta(X3,X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5284_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7265,plain,
% 157.09/157.30 ( c_Type_Otyping(X0,X1,X2)
% 157.09/157.30 | ~ c_Type_Otyping(X0,X3,X2)
% 157.09/157.30 | ~ c_Lambda_Obeta(X3,X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_642]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_637,plain,
% 157.09/157.30 ( X0 = c_Suc(X1)
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__XlessE__1__1(X1,X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5287_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7255,plain,
% 157.09/157.30 ( X0 = c_Suc(X1)
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__XlessE__1__1(X1,X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_637]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7256,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__XlessE__1__1(X0,X1)) = X1
% 157.09/157.30 | X1 = c_Suc(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7255]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_635,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5288_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7251,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_635]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7252,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | X1 = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7251]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_629,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5290_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7239,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | X1 = X0
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_629]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7240,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X0))
% 157.09/157.30 | X1 = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7239]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_625,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5291_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7231,plain,
% 157.09/157.30 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(X1,X0,X2) != c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_625]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7232,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7231]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_623,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5292_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7227,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_623]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_621,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5294_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7223,plain,
% 157.09/157.30 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X1))
% 157.09/157.30 | hBOOL(hAPP(c_lessequals(X1,tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_621]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_618,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5295_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7217,plain,
% 157.09/157.30 ( c_Divides_Odiv__class_Omod(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 157.09/157.30 | ~ class_Divides_Osemiring__div(X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_618]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7218,plain,
% 157.09/157.30 ( ~ class_Divides_Osemiring__div(X0)
% 157.09/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 157.09/157.30 | c_Divides_Odiv__class_Omod(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7217]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_606,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5299_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7193,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_606]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7194,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 157.09/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7193]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_603,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5300_2) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7187,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_603]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7188,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 157.09/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.09/157.30 | X0 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7187]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_601,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5301_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7183,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_601]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7184,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1(X0)) = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7183]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_599,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5302_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7179,plain,
% 157.09/157.30 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0
% 157.09/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_599]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7180,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.09/157.30 | c_Suc(c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1(X0)) = X0 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7179]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_595,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5305_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7171,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_595]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7172,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 157.09/157.30 | X0 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7171]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_593,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5306_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7167,plain,
% 157.09/157.30 ( X0 = X1
% 157.09/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_593]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7168,plain,
% 157.09/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 157.09/157.30 | X1 = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7167]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_591,plain,
% 157.09/157.30 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,hAPP(c_Lambda_OdB_OVar,X1),X2) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5311_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7163,plain,
% 157.09/157.30 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,hAPP(c_Lambda_OdB_OVar,X1),X2) ),
% 157.09/157.30 inference(copy,[status(esa)],[c_591]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7164,plain,
% 157.09/157.30 ( ~ c_Type_Otyping(X0,hAPP(c_Lambda_OdB_OVar,X1),X2) | hAPP(X0,X1) = X2 ),
% 157.09/157.30 inference(rewriting,[status(thm)],[c_7163]) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_589,plain,
% 157.09/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.09/157.30 | ~ class_Orderings_Oorder(X1) ),
% 157.09/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5312_1) ).
% 157.09/157.30
% 157.09/157.30 cnf(c_7159,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.17/157.30 | ~ class_Orderings_Oorder(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_589]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7160,plain,
% 157.17/157.30 ( ~ class_Orderings_Oorder(X0)
% 157.17/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7159]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_587,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.17/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5313_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7155,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.17/157.30 | ~ class_Orderings_Olinorder(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_587]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7156,plain,
% 157.17/157.30 ( ~ class_Orderings_Olinorder(X0)
% 157.17/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7155]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_585,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.17/157.30 | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5314_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7151,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X0))
% 157.17/157.30 | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_585]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7152,plain,
% 157.17/157.30 ( ~ class_Orderings_Opreorder(X0)
% 157.17/157.30 | ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7151]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_583,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5315_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7147,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_583]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7148,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(c_lessequals(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.17/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7147]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_580,plain,
% 157.17/157.30 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 157.17/157.30 | hBOOL(hAPP(X0,X1))
% 157.17/157.30 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5316_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7141,plain,
% 157.17/157.30 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 157.17/157.30 | hBOOL(hAPP(X0,X1))
% 157.17/157.30 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_580]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7142,plain,
% 157.17/157.30 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 157.17/157.30 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 157.17/157.30 | hBOOL(hAPP(X0,X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7141]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_572,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0)))
% 157.17/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5320_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7125,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0)))
% 157.17/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_572]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7126,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.17/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7125]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_570,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0)))
% 157.17/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5321_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7121,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0)))
% 157.17/157.30 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_570]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7122,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 157.17/157.30 | hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Oone__class_Oone(X0))) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7121]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_563,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5327_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7107,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_563]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7108,plain,
% 157.17/157.30 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 157.17/157.30 | X1 = X3 ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7107]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_561,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5328_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7103,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_561]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7104,plain,
% 157.17/157.30 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 157.17/157.30 | X0 = X2 ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7103]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_559,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5329_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7099,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_559]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7100,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.17/157.30 | 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) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7099]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_555,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5333_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7091,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_555]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7092,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7091]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_551,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.17/157.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5335_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7083,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.17/157.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_551]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7084,plain,
% 157.17/157.30 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7083]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_549,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5336_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7079,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_549]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7080,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7079]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_544,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5340_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7069,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_544]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7070,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7069]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_540,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5343_0) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7061,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_540]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_537,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5343_3) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7055,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_537]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7056,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7055]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_532,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5345_0) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7045,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_532]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_529,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5345_3) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7039,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_529]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7040,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7039]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_525,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_Int_Onumber__ring(X2)
% 157.17/157.30 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5346_3) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7031,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_Int_Onumber__ring(X2)
% 157.17/157.30 | ~ class_Ring__and__Field_Oidom(X2) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_525]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7032,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.17/157.30 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = X2 ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7031]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_522,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5347_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7025,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_522]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7026,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 157.17/157.30 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7025]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_518,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 157.17/157.30 | ~ class_Int_Onumber__ring(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5350_3) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7017,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 157.17/157.30 | ~ class_Int_Onumber__ring(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Oidom(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_518]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7018,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.17/157.30 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 157.17/157.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7017]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_515,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5351_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7011,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_515]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_7012,plain,
% 157.17/157.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_7011]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_506,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5357_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6993,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_506]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6994,plain,
% 157.17/157.30 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = X2 ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6993]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_503,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5358_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6987,plain,
% 157.17/157.30 ( X0 = X1
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X0),X1) != c_HOL_Ozero__class_Ozero(X2)
% 157.17/157.30 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_503]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6988,plain,
% 157.17/157.30 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = X2 ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6987]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_483,plain,
% 157.17/157.30 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5365_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6947,plain,
% 157.17/157.30 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.30 | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_483]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6948,plain,
% 157.17/157.30 ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)
% 157.17/157.30 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6947]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_481,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5366_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6943,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_481]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6944,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0))
% 157.17/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6943]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_469,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0)) | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5374_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6919,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0)) | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_469]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6920,plain,
% 157.17/157.30 ( ~ class_Orderings_Opreorder(X0) | hBOOL(hAPP(c_lessequals(X1,X0),X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6919]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_467,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0)) | ~ class_Orderings_Oorder(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5375_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6915,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_lessequals(X0,X1),X0)) | ~ class_Orderings_Oorder(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_467]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6916,plain,
% 157.17/157.30 ( ~ class_Orderings_Oorder(X0) | hBOOL(hAPP(c_lessequals(X1,X0),X1)) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6915]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_464,plain,
% 157.17/157.30 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5379_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6909,plain,
% 157.17/157.30 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_464]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6910,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6909]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_463,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5380_0) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6907,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_463]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_461,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5380_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6903,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_461]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6904,plain,
% 157.17/157.30 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6903]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_457,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Power_Opower(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5381_3) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6895,plain,
% 157.17/157.30 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.30 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.30 | ~ class_Power_Opower(X1)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_457]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6896,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.30 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6895]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_455,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 157.17/157.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5382_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6891,plain,
% 157.17/157.30 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 157.17/157.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_455]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_452,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5383_2) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6885,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_452]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6886,plain,
% 157.17/157.30 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 157.17/157.30 | ~ class_Power_Opower(X0)
% 157.17/157.30 | 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) ),
% 157.17/157.30 inference(rewriting,[status(thm)],[c_6885]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_450,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.17/157.30 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5384_1) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6881,plain,
% 157.17/157.30 ( 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)
% 157.17/157.30 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 157.17/157.30 inference(copy,[status(esa)],[c_450]) ).
% 157.17/157.30
% 157.17/157.30 cnf(c_6882,plain,
% 157.17/157.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 157.17/157.30 | 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) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6881]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_447,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5385_2) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6875,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != X1 ),
% 157.17/157.31 inference(copy,[status(esa)],[c_447]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6876,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != X0
% 157.17/157.31 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6875]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_445,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5389_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6871,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_445]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6872,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6871]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_443,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5390_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6867,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_443]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6868,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6867]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_437,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5393_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6855,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_437]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6856,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | X0 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6855]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_435,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5394_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6851,plain,
% 157.17/157.31 ( X0 = c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_435]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6852,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Oone__class_Oone(tc_nat)
% 157.17/157.31 | X1 = c_HOL_Oone__class_Oone(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6851]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_431,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5396_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6843,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 157.17/157.31 inference(copy,[status(esa)],[c_431]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6844,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 157.17/157.31 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6843]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_427,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5403_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6835,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_427]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6836,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6835]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_425,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5404_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6831,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_425]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6832,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6831]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_423,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5405_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6827,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_423]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6828,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6827]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_420,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5406_2) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6821,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_420]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6822,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6821]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_416,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5408_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6813,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_416]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6814,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6813]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_414,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5409_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6809,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_414]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6810,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6809]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_412,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5410_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6805,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_412]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6806,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6805]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_408,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5412_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6797,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_408]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6798,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6797]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_406,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5413_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6793,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_406]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6794,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6793]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_404,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5414_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6789,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_404]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6790,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6789]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_402,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5417_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6785,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_402]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6786,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6785]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_400,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5418_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6781,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_400]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6782,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6781]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_398,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5419_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6777,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_398]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6778,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6777]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_396,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5420_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6773,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_396]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6774,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6773]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_394,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5421_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6769,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_394]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6770,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.17/157.31 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6769]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_391,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5424_2) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6763,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_391]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6764,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 157.17/157.31 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6763]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_388,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5425_2) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6757,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oidom(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_388]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6758,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Oidom(X0)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6757]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_386,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5426_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6753,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_386]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6754,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6753]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_384,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5427_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6749,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_384]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6750,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6749]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_382,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5428_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6745,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_382]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6746,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6745]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_380,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5429_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6741,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_380]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6742,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6741]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_378,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5430_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6737,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_378]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6738,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6737]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_376,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5431_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6733,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_376]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6734,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6733]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_374,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Power_Opower(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5432_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6729,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 157.17/157.31 | ~ class_Power_Opower(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_374]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6730,plain,
% 157.17/157.31 ( ~ class_Power_Opower(X0)
% 157.17/157.31 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6729]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_372,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5433_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6725,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_372]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6726,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6725]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_370,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5434_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6721,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_370]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6722,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6721]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_368,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5436_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6717,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_368]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6718,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6717]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_366,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5437_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6713,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_366]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6714,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6713]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_364,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5438_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6709,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_364]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6710,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6709]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_362,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5439_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6705,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_362]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6706,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6705]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_360,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5440_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6701,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_360]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6702,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6701]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_358,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5441_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6697,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_358]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6698,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6697]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_356,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5443_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6693,plain,
% 157.17/157.31 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 157.17/157.31 | ~ class_Divides_Osemiring__div(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_356]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6694,plain,
% 157.17/157.31 ( ~ class_Divides_Osemiring__div(X0)
% 157.17/157.31 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6693]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_354,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5444_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6689,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_354]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6690,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 157.17/157.31 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6689]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_352,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5445_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6685,plain,
% 157.17/157.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_352]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6686,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6685]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_350,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5450_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6681,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_350]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6682,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6681]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_346,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5452_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6673,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_346]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6674,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Ominus__class_Ominus(X0),X1),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6673]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_344,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5455_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6669,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 157.17/157.31 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_344]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6670,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 157.17/157.31 | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6669]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_340,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X2)
% 157.17/157.31 | ~ class_Int_Oring__char__0(X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5456_3) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6661,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X2)
% 157.17/157.31 | ~ class_Int_Oring__char__0(X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_340]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6662,plain,
% 157.17/157.31 ( ~ class_Int_Oring__char__0(X0)
% 157.17/157.31 | ~ class_Int_Onumber__ring(X0)
% 157.17/157.31 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 157.17/157.31 | X1 = X2 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6661]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_338,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5457_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6657,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 157.17/157.31 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_338]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6658,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 157.17/157.31 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6657]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_335,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 157.17/157.31 | ~ class_Nat_Osemiring__char__0(X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5468_2) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6651,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 157.17/157.31 | ~ class_Nat_Osemiring__char__0(X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_335]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6652,plain,
% 157.17/157.31 ( ~ class_Nat_Osemiring__char__0(X0)
% 157.17/157.31 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 157.17/157.31 | X1 = X2 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6651]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_333,plain,
% 157.17/157.31 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 157.17/157.31 | ~ c_Lambda_Obeta(X0,X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5478_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6647,plain,
% 157.17/157.31 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 157.17/157.31 | ~ c_Lambda_Obeta(X0,X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_333]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_331,plain,
% 157.17/157.31 ( X0 = X1 | hAPP(c_Lambda_OdB_OVar,X0) != hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5480_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6643,plain,
% 157.17/157.31 ( X0 = X1 | hAPP(c_Lambda_OdB_OVar,X0) != hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_331]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6644,plain,
% 157.17/157.31 ( hAPP(c_Lambda_OdB_OVar,X0) != hAPP(c_Lambda_OdB_OVar,X1) | X0 = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6643]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_329,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5482_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6639,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_329]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_327,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 157.17/157.31 | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5483_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6635,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 157.17/157.31 | ~ class_Orderings_Opreorder(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_327]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_325,plain,
% 157.17/157.31 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5484_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6631,plain,
% 157.17/157.31 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_325]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6632,plain,
% 157.17/157.31 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 157.17/157.31 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6631]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_323,plain,
% 157.17/157.31 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5486_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6627,plain,
% 157.17/157.31 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_323]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6628,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.17/157.31 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6627]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_321,plain,
% 157.17/157.31 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5487_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6623,plain,
% 157.17/157.31 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_321]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6624,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 157.17/157.31 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6623]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_317,plain,
% 157.17/157.31 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5492_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6615,plain,
% 157.17/157.31 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 157.17/157.31 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_317]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6616,plain,
% 157.17/157.31 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 157.17/157.31 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6615]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_313,plain,
% 157.17/157.31 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5494_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6607,plain,
% 157.17/157.31 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_313]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6608,plain,
% 157.17/157.31 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6607]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_311,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Code__Numeral_Oof__nat(X0) != c_Code__Numeral_Oof__nat(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5495_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6603,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Code__Numeral_Oof__nat(X0) != c_Code__Numeral_Oof__nat(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_311]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6604,plain,
% 157.17/157.31 ( c_Code__Numeral_Oof__nat(X0) != c_Code__Numeral_Oof__nat(X1)
% 157.17/157.31 | X0 = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6603]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_309,plain,
% 157.17/157.31 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5496_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6599,plain,
% 157.17/157.31 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_309]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6600,plain,
% 157.17/157.31 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6599]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_305,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Code__Numeral_Onat__of(X0) != c_Code__Numeral_Onat__of(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5498_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6591,plain,
% 157.17/157.31 ( X0 = X1
% 157.17/157.31 | c_Code__Numeral_Onat__of(X0) != c_Code__Numeral_Onat__of(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_305]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6592,plain,
% 157.17/157.31 ( c_Code__Numeral_Onat__of(X0) != c_Code__Numeral_Onat__of(X1)
% 157.17/157.31 | X0 = X1 ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6591]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_303,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5499_1) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6587,plain,
% 157.17/157.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 157.17/157.31 | c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0 ),
% 157.17/157.31 inference(copy,[status(esa)],[c_303]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6588,plain,
% 157.17/157.31 ( c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__Xexhaust__1__1(X0)) = X0
% 157.17/157.31 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(rewriting,[status(thm)],[c_6587]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_302,plain,
% 157.17/157.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(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) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4558_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6585,plain,
% 157.17/157.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(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) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_302]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_301,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4582_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6583,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(c_Lambda_OdB_OVar,X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_301]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_300,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4829_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6581,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_300]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_299,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X1)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4830_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6579,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat),X1)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_299]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_298,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5286_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6577,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_298]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_297,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5303_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6575,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_297]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_295,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5318_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6571,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_295]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_293,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5326_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6567,plain,
% 157.17/157.31 ( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_293]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_292,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(c_Lambda_OdB_OVar,X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5397_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6565,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(c_Lambda_OdB_OVar,X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_292]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_291,plain,
% 157.17/157.31 ( hAPP(c_Lambda_OdB_OVar,X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5398_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6563,plain,
% 157.17/157.31 ( hAPP(c_Lambda_OdB_OVar,X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_291]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_290,plain,
% 157.17/157.31 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5448_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6561,plain,
% 157.17/157.31 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_290]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_289,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5449_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6559,plain,
% 157.17/157.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_289]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_288,plain,
% 157.17/157.31 ( ~ c_Lambda_Obeta(hAPP(c_Lambda_OdB_OVar,X0),X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5459_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6557,plain,
% 157.17/157.31 ( ~ c_Lambda_Obeta(hAPP(c_Lambda_OdB_OVar,X0),X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_288]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_287,plain,
% 157.17/157.31 ( hAPP(c_Lambda_OdB_OVar,X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5489_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6555,plain,
% 157.17/157.31 ( hAPP(c_Lambda_OdB_OVar,X0) != c_Lambda_OdB_OAbs(X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_287]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_286,plain,
% 157.17/157.31 ( c_Lambda_OdB_OAbs(X0) != hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5490_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6553,plain,
% 157.17/157.31 ( c_Lambda_OdB_OAbs(X0) != hAPP(c_Lambda_OdB_OVar,X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_286]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_282,plain,
% 157.17/157.31 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5506_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6545,plain,
% 157.17/157.31 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_282]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_280,plain,
% 157.17/157.31 ( c_Suc(X0) != X0 ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5509_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6541,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_280]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_263,plain,
% 157.17/157.31 ( c_List_Olist__all2(X0,c_List_Olist_ONil(X1),c_List_Olist_ONil(X2),X1,X2) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4659_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6523,plain,
% 157.17/157.31 ( c_List_Olist__all2(X0,c_List_Olist_ONil(X1),c_List_Olist_ONil(X2),X1,X2) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_263]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_259,plain,
% 157.17/157.31 ( c_List_Olist__all2(c_fequal(X0),X1,X1,X0,X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4663_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6518,plain,
% 157.17/157.31 ( c_List_Olist__all2(c_fequal(X0),X1,X1,X0,X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_259]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_254,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4860_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6511,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_254]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_253,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4869_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6509,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_253]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_243,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4939_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6498,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_243]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_242,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4940_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6496,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_242]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_238,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)),X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4961_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6491,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1)),X2) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X2)),X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_238]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_235,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4964_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6487,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_235]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_233,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4966_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6483,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_233]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_232,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4967_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6481,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_232]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_231,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_4976_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6479,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X0),X1),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_231]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_214,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5101_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6461,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_214]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_210,plain,
% 157.17/157.31 ( 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))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5123_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6456,plain,
% 157.17/157.31 ( 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))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_210]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_209,plain,
% 157.17/157.31 ( 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)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5133_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6454,plain,
% 157.17/157.31 ( 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)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_209]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_205,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5155_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6449,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1),tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_205]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_203,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5160_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6445,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_203]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_202,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5161_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6443,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_202]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_201,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5162_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6441,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_201]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_190,plain,
% 157.17/157.31 ( hBOOL(c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5323_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6429,plain,
% 157.17/157.31 ( hBOOL(c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_190]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_187,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5331_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6424,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_Suc(X0),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_187]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_184,plain,
% 157.17/157.31 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5342_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6420,plain,
% 157.17/157.31 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_184]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_183,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5348_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6418,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_183]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_182,plain,
% 157.17/157.31 ( c_Type_Otyping(X0,hAPP(c_Lambda_OdB_OVar,X1),hAPP(X0,X1)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5349_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6416,plain,
% 157.17/157.31 ( c_Type_Otyping(X0,hAPP(c_Lambda_OdB_OVar,X1),hAPP(X0,X1)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_182]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_180,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5353_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6412,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_180]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_178,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5364_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6408,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_178]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_177,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5369_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6406,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_177]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_176,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5370_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6404,plain,
% 157.17/157.31 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_176]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_173,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X0))) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5377_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6399,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),c_Suc(X0))) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_173]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_172,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5378_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6397,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_172]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_166,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X0)) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5401_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6388,plain,
% 157.17/157.31 ( hBOOL(hAPP(c_lessequals(X0,tc_nat),X0)) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_166]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_155,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5458_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6375,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_155]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_145,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5470_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6364,plain,
% 157.17/157.31 ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_145]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_129,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5510_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6347,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_129]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_128,plain,
% 157.17/157.31 ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5511_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6345,plain,
% 157.17/157.31 ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_128]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_127,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5512_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6343,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_127]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_126,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5513_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6341,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_126]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_125,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5514_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6339,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_125]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_124,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5515_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6337,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_124]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_123,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5516_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6335,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_123]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_122,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5517_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6333,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_122]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_121,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5518_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6331,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_121]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_120,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5519_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6329,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_120]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_119,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5520_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6327,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_119]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_118,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5521_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6325,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_118]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_117,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5522_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6323,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_117]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_116,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5523_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6321,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_116]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_115,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5524_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6319,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_115]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_114,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5525_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6317,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_114]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_113,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5526_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6315,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_113]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_112,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5527_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6313,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_112]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_111,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5528_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6311,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_111]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_110,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5529_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6309,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_110]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_109,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5530_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6307,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_109]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_108,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5531_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6305,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_108]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_107,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5532_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6303,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_107]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_106,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5533_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6301,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_106]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_105,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5534_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6299,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_105]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_104,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5535_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6297,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_104]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_103,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5536_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6295,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_103]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_102,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5537_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6293,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_102]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_101,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5538_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6291,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_101]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_100,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5539_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6289,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_100]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_99,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5540_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6287,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_99]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_98,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5541_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6285,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_98]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_97,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5542_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6283,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_97]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_96,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5543_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6281,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_96]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_95,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5544_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6279,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_95]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_94,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5545_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6277,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_94]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_93,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5546_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6275,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_93]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_92,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5547_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6273,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_92]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_91,plain,
% 157.17/157.31 ( class_Power_Opower(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5548_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6271,plain,
% 157.17/157.31 ( class_Power_Opower(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_91]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_90,plain,
% 157.17/157.31 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5549_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6269,plain,
% 157.17/157.31 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_90]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_89,plain,
% 157.17/157.31 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5550_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6267,plain,
% 157.17/157.31 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_89]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_88,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5551_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6265,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_88]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_87,plain,
% 157.17/157.31 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5552_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6263,plain,
% 157.17/157.31 ( class_Divides_Oring__div(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_87]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_86,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5553_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6261,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_86]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_85,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5554_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6259,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_85]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_84,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5555_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6257,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_84]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_83,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5556_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6255,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_83]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_82,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5557_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6253,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_82]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_81,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5558_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6251,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_81]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_80,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5559_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6249,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_80]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_79,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5560_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6247,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_79]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_78,plain,
% 157.17/157.31 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5561_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6245,plain,
% 157.17/157.31 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_78]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_77,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5562_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6243,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_77]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_76,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5563_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6241,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_76]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_75,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5564_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6239,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_75]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_74,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5565_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6237,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__ring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_74]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_73,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5566_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6235,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_73]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_72,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5567_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6233,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_72]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_71,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5568_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6231,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_71]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_70,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5569_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6229,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_70]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_69,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5570_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6227,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_69]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_68,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5571_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6225,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_68]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_67,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5572_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6223,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_67]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_66,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5573_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6221,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__ring__1(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_66]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_65,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5574_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6219,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_65]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_64,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5575_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6217,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_64]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_63,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5576_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6215,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_63]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_62,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5577_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6213,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_62]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_61,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5578_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6211,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_61]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_60,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5579_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6209,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_60]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_59,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5580_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6207,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_59]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_58,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5581_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6205,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_58]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_57,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5582_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6203,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_57]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_56,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5583_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6201,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_56]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_55,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5584_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6199,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_55]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_54,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5585_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6197,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_54]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_53,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5586_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6195,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_53]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_52,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5587_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6193,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_52]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_51,plain,
% 157.17/157.31 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5588_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6191,plain,
% 157.17/157.31 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_51]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_50,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5589_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6189,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_50]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_49,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5590_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6187,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_49]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_48,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5591_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6185,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_48]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_47,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5592_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6183,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_47]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_46,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5593_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6181,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_46]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_45,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5594_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6179,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_45]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_44,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5595_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6177,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_44]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_43,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5596_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6175,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_43]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_42,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5597_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6173,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_42]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_41,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5598_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6171,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_41]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_40,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5599_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6169,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_40]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_39,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5600_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6167,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_39]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_38,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_bool) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5601_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6165,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_bool) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_38]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_37,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_bool) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5602_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6163,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_bool) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_37]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_36,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5603_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6161,plain,
% 157.17/157.31 ( class_Int_Onumber(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_36]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_35,plain,
% 157.17/157.31 ( class_Power_Opower(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5604_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6159,plain,
% 157.17/157.31 ( class_Power_Opower(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_35]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_34,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5605_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6157,plain,
% 157.17/157.31 ( class_Orderings_Oorder(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_34]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_33,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5606_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6155,plain,
% 157.17/157.31 ( class_Orderings_Olinorder(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_33]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_32,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5607_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6153,plain,
% 157.17/157.31 ( class_Orderings_Opreorder(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_32]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_31,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5608_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6151,plain,
% 157.17/157.31 ( class_Ring__and__Field_Odvd(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_31]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_30,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5609_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6149,plain,
% 157.17/157.31 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_30]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_29,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5610_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6147,plain,
% 157.17/157.31 ( class_Divides_Osemiring__div(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_29]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_28,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5611_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6145,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_28]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_27,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5612_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6143,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_27]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_26,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5613_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6141,plain,
% 157.17/157.31 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_26]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_25,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5614_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6139,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_25]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_24,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5615_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6137,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_24]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_23,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5616_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6135,plain,
% 157.17/157.31 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_23]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_22,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5617_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6133,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_22]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_21,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5618_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6131,plain,
% 157.17/157.31 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_21]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_20,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5619_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6129,plain,
% 157.17/157.31 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_20]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_19,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5620_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6127,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_19]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_18,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5621_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6125,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_18]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_17,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5622_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6123,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_17]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_16,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5623_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6121,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_16]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_15,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5624_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6119,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_15]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_14,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5625_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6117,plain,
% 157.17/157.31 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_14]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_13,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5626_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6115,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_13]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_12,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5627_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6113,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_12]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_11,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5628_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6111,plain,
% 157.17/157.31 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_11]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_10,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5629_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6109,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_10]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_9,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5630_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6107,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_9]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_8,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5631_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6105,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_8]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_7,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5632_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6103,plain,
% 157.17/157.31 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_7]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5633_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6101,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_6]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_5,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5634_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6099,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_5]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_4,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5635_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6097,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_4]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_3,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5636_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6095,plain,
% 157.17/157.31 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_3]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_2,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5637_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6093,plain,
% 157.17/157.31 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_2]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_1,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5638_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6091,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_1]) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_0,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 file('/export/starexec/sandbox2/tmp/iprover_modulo_33d5ba.p', c_0_5639_0) ).
% 157.17/157.31
% 157.17/157.31 cnf(c_6089,plain,
% 157.17/157.31 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 157.17/157.31 inference(copy,[status(esa)],[c_0]) ).
% 157.17/157.31
% 157.17/157.31
% 157.17/157.31
% 157.17/157.31 % ------ Statistics
% 157.17/157.31
% 157.17/157.31 % ------ General
% 157.17/157.31
% 157.17/157.31 % num_of_input_clauses: 2648
% 157.17/157.31 % num_of_input_neg_conjectures: 10
% 157.17/157.31 % num_of_splits: 0
% 157.17/157.31 % num_of_split_atoms: 0
% 157.17/157.31 % num_of_sem_filtered_clauses: 0
% 157.17/157.31 % num_of_subtypes: 0
% 157.17/157.31 % monotx_restored_types: 0
% 157.17/157.31 % sat_num_of_epr_types: 0
% 157.17/157.31 % sat_num_of_non_cyclic_types: 0
% 157.17/157.31 % sat_guarded_non_collapsed_types: 0
% 157.17/157.31 % is_epr: 0
% 157.17/157.31 % is_horn: 0
% 157.17/157.31 % has_eq: 1
% 157.17/157.31 % num_pure_diseq_elim: 0
% 157.17/157.31 % simp_replaced_by: 0
% 157.17/157.31 % res_preprocessed: 20
% 157.17/157.31 % prep_upred: 0
% 157.17/157.31 % prep_unflattend: 0
% 157.17/157.32 % pred_elim_cands: 0
% 157.17/157.32 % pred_elim: 0
% 157.17/157.32 % pred_elim_cl: 0
% 157.17/157.32 % pred_elim_cycles: 0
% 157.17/157.32 % forced_gc_time: 0
% 157.17/157.32 % gc_basic_clause_elim: 0
% 157.17/157.32 % parsing_time: 0.148
% 157.17/157.32 % sem_filter_time: 0.
% 157.17/157.32 % pred_elim_time: 0.
% 157.17/157.32 % out_proof_time: 0.
% 157.17/157.32 % monotx_time: 0.
% 157.17/157.32 % subtype_inf_time: 0.
% 157.17/157.32 % unif_index_cands_time: 0.
% 157.17/157.32 % unif_index_add_time: 0.002
% 157.17/157.32 % total_time: 6.336
% 157.17/157.32 % num_of_symbols: 153
% 157.17/157.32 % num_of_terms: 6498
% 157.17/157.32
% 157.17/157.32 % ------ Propositional Solver
% 157.17/157.32
% 157.17/157.32 % prop_solver_calls: 1
% 157.17/157.32 % prop_fast_solver_calls: 81
% 157.17/157.32 % prop_num_of_clauses: 2334
% 157.17/157.32 % prop_preprocess_simplified: 8028
% 157.17/157.32 % prop_fo_subsumed: 0
% 157.17/157.32 % prop_solver_time: 0.
% 157.17/157.32 % prop_fast_solver_time: 0.
% 157.17/157.32 % prop_unsat_core_time: 0.
% 157.17/157.32
% 157.17/157.32 % ------ QBF
% 157.17/157.32
% 157.17/157.32 % qbf_q_res: 0
% 157.17/157.32 % qbf_num_tautologies: 0
% 157.17/157.32 % qbf_prep_cycles: 0
% 157.17/157.32
% 157.17/157.32 % ------ BMC1
% 157.17/157.32
% 157.17/157.32 % bmc1_current_bound: -1
% 157.17/157.32 % bmc1_last_solved_bound: -1
% 157.17/157.32 % bmc1_unsat_core_size: -1
% 157.17/157.32 % bmc1_unsat_core_parents_size: -1
% 157.17/157.32 % bmc1_merge_next_fun: 0
% 157.17/157.32 % bmc1_unsat_core_clauses_time: 0.
% 157.17/157.32
% 157.17/157.32 % ------ Instantiation
% 157.17/157.32
% 157.17/157.32 % inst_num_of_clauses: 2409
% 157.17/157.32 % inst_num_in_passive: 0
% 157.17/157.32 % inst_num_in_active: 0
% 157.17/157.32 % inst_num_in_unprocessed: 2648
% 157.17/157.32 % inst_num_of_loops: 0
% 157.17/157.32 % inst_num_of_learning_restarts: 0
% 157.17/157.32 % inst_num_moves_active_passive: 0
% 157.17/157.32 % inst_lit_activity: 0
% 157.17/157.32 % inst_lit_activity_moves: 0
% 157.17/157.32 % inst_num_tautologies: 0
% 157.17/157.32 % inst_num_prop_implied: 0
% 157.17/157.32 % inst_num_existing_simplified: 0
% 157.17/157.32 % inst_num_eq_res_simplified: 0
% 157.17/157.32 % inst_num_child_elim: 0
% 157.17/157.32 % inst_num_of_dismatching_blockings: 0
% 157.17/157.32 % inst_num_of_non_proper_insts: 0
% 157.17/157.32 % inst_num_of_duplicates: 0
% 157.17/157.32 % inst_inst_num_from_inst_to_res: 0
% 157.17/157.32 % inst_dismatching_checking_time: 0.
% 157.17/157.32
% 157.17/157.32 % ------ Resolution
% 157.17/157.32
% 157.17/157.32 % res_num_of_clauses: 2608
% 157.17/157.32 % res_num_in_passive: 0
% 157.17/157.32 % res_num_in_active: 1031
% 157.17/157.32 % res_num_of_loops: 11
% 157.17/157.32 % res_forward_subset_subsumed: 1507
% 157.17/157.32 % res_backward_subset_subsumed: 0
% 157.17/157.32 % res_forward_subsumed: 2
% 157.17/157.32 % res_backward_subsumed: 0
% 157.17/157.32 % res_forward_subsumption_resolution: 0
% 157.17/157.32 % res_backward_subsumption_resolution: 0
% 157.17/157.32 % res_clause_to_clause_subsumption: 14
% 157.17/157.32 % res_orphan_elimination: 0
% 157.17/157.32 % res_tautology_del: 0
% 157.17/157.32 % res_num_eq_res_simplified: 0
% 157.17/157.32 % res_num_sel_changes: 0
% 157.17/157.32 % res_moves_from_active_to_pass: 0
% 157.17/157.32
% 157.17/157.32 % Status Unknown
% 157.17/157.32 % Last status :
% 157.17/157.32 % SZS status Unknown
%------------------------------------------------------------------------------