TSTP Solution File: SWW220+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWW220+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.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 : Thu Jul 21 00:28:55 EDT 2022
% Result : Unknown 5.30s 5.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW220+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 07:19:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.50/0.71 % Orienting using strategy Equiv(ClausalAll)
% 0.50/0.71 % FOF problem with conjecture
% 0.50/0.71 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fabdfb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d62d59.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4c1518 | grep -v "SZS"
% 0.57/0.74
% 0.57/0.74 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.57/0.74
% 0.57/0.74 %
% 0.57/0.74 % ------ iProver source info
% 0.57/0.74
% 0.57/0.74 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.57/0.74 % git: non_committed_changes: true
% 0.57/0.74 % git: last_make_outside_of_git: true
% 0.57/0.74
% 0.57/0.74 %
% 0.57/0.74 % ------ Input Options
% 0.57/0.74
% 0.57/0.74 % --out_options all
% 0.57/0.74 % --tptp_safe_out true
% 0.57/0.74 % --problem_path ""
% 0.57/0.74 % --include_path ""
% 0.57/0.74 % --clausifier .//eprover
% 0.57/0.74 % --clausifier_options --tstp-format
% 0.57/0.74 % --stdin false
% 0.57/0.74 % --dbg_backtrace false
% 0.57/0.74 % --dbg_dump_prop_clauses false
% 0.57/0.74 % --dbg_dump_prop_clauses_file -
% 0.57/0.74 % --dbg_out_stat false
% 0.57/0.74
% 0.57/0.74 % ------ General Options
% 0.57/0.74
% 0.57/0.74 % --fof false
% 0.57/0.74 % --time_out_real 150.
% 0.57/0.74 % --time_out_prep_mult 0.2
% 0.57/0.74 % --time_out_virtual -1.
% 0.57/0.74 % --schedule none
% 0.57/0.74 % --ground_splitting input
% 0.57/0.74 % --splitting_nvd 16
% 0.57/0.74 % --non_eq_to_eq false
% 0.57/0.74 % --prep_gs_sim true
% 0.57/0.74 % --prep_unflatten false
% 0.57/0.74 % --prep_res_sim true
% 0.57/0.74 % --prep_upred true
% 0.57/0.74 % --res_sim_input true
% 0.57/0.74 % --clause_weak_htbl true
% 0.57/0.74 % --gc_record_bc_elim false
% 0.57/0.74 % --symbol_type_check false
% 0.57/0.74 % --clausify_out false
% 0.57/0.74 % --large_theory_mode false
% 0.57/0.74 % --prep_sem_filter none
% 0.57/0.74 % --prep_sem_filter_out false
% 0.57/0.74 % --preprocessed_out false
% 0.57/0.74 % --sub_typing false
% 0.57/0.74 % --brand_transform false
% 0.57/0.74 % --pure_diseq_elim true
% 0.57/0.74 % --min_unsat_core false
% 0.57/0.74 % --pred_elim true
% 0.57/0.74 % --add_important_lit false
% 0.57/0.74 % --soft_assumptions false
% 0.57/0.74 % --reset_solvers false
% 0.57/0.74 % --bc_imp_inh []
% 0.57/0.74 % --conj_cone_tolerance 1.5
% 0.57/0.74 % --prolific_symb_bound 500
% 0.57/0.74 % --lt_threshold 2000
% 0.57/0.74
% 0.57/0.74 % ------ SAT Options
% 0.57/0.74
% 0.57/0.74 % --sat_mode false
% 0.57/0.74 % --sat_fm_restart_options ""
% 0.57/0.74 % --sat_gr_def false
% 0.57/0.74 % --sat_epr_types true
% 0.57/0.74 % --sat_non_cyclic_types false
% 0.57/0.74 % --sat_finite_models false
% 0.57/0.74 % --sat_fm_lemmas false
% 0.57/0.74 % --sat_fm_prep false
% 0.57/0.74 % --sat_fm_uc_incr true
% 0.57/0.74 % --sat_out_model small
% 0.57/0.74 % --sat_out_clauses false
% 0.57/0.74
% 0.57/0.74 % ------ QBF Options
% 0.57/0.74
% 0.57/0.74 % --qbf_mode false
% 0.57/0.74 % --qbf_elim_univ true
% 0.57/0.74 % --qbf_sk_in true
% 0.57/0.74 % --qbf_pred_elim true
% 0.57/0.74 % --qbf_split 32
% 0.57/0.74
% 0.57/0.74 % ------ BMC1 Options
% 0.57/0.74
% 0.57/0.74 % --bmc1_incremental false
% 0.57/0.74 % --bmc1_axioms reachable_all
% 0.57/0.74 % --bmc1_min_bound 0
% 0.57/0.74 % --bmc1_max_bound -1
% 0.57/0.74 % --bmc1_max_bound_default -1
% 0.57/0.74 % --bmc1_symbol_reachability true
% 0.57/0.74 % --bmc1_property_lemmas false
% 0.57/0.74 % --bmc1_k_induction false
% 0.57/0.74 % --bmc1_non_equiv_states false
% 0.57/0.74 % --bmc1_deadlock false
% 0.57/0.74 % --bmc1_ucm false
% 0.57/0.74 % --bmc1_add_unsat_core none
% 0.57/0.74 % --bmc1_unsat_core_children false
% 0.57/0.74 % --bmc1_unsat_core_extrapolate_axioms false
% 0.57/0.74 % --bmc1_out_stat full
% 0.57/0.74 % --bmc1_ground_init false
% 0.57/0.74 % --bmc1_pre_inst_next_state false
% 0.57/0.74 % --bmc1_pre_inst_state false
% 0.57/0.74 % --bmc1_pre_inst_reach_state false
% 0.57/0.74 % --bmc1_out_unsat_core false
% 0.57/0.74 % --bmc1_aig_witness_out false
% 0.57/0.74 % --bmc1_verbose false
% 0.57/0.74 % --bmc1_dump_clauses_tptp false
% 0.57/0.76 % --bmc1_dump_unsat_core_tptp false
% 0.57/0.76 % --bmc1_dump_file -
% 0.57/0.76 % --bmc1_ucm_expand_uc_limit 128
% 0.57/0.76 % --bmc1_ucm_n_expand_iterations 6
% 0.57/0.76 % --bmc1_ucm_extend_mode 1
% 0.57/0.76 % --bmc1_ucm_init_mode 2
% 0.57/0.76 % --bmc1_ucm_cone_mode none
% 0.57/0.76 % --bmc1_ucm_reduced_relation_type 0
% 0.57/0.76 % --bmc1_ucm_relax_model 4
% 0.57/0.76 % --bmc1_ucm_full_tr_after_sat true
% 0.57/0.76 % --bmc1_ucm_expand_neg_assumptions false
% 0.57/0.76 % --bmc1_ucm_layered_model none
% 0.57/0.76 % --bmc1_ucm_max_lemma_size 10
% 0.57/0.76
% 0.57/0.76 % ------ AIG Options
% 0.57/0.76
% 0.57/0.76 % --aig_mode false
% 0.57/0.76
% 0.57/0.76 % ------ Instantiation Options
% 0.57/0.76
% 0.57/0.76 % --instantiation_flag true
% 0.57/0.76 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.57/0.76 % --inst_solver_per_active 750
% 0.57/0.76 % --inst_solver_calls_frac 0.5
% 0.57/0.76 % --inst_passive_queue_type priority_queues
% 0.57/0.76 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.57/0.76 % --inst_passive_queues_freq [25;2]
% 0.57/0.76 % --inst_dismatching true
% 0.57/0.76 % --inst_eager_unprocessed_to_passive true
% 0.57/0.76 % --inst_prop_sim_given true
% 0.57/0.76 % --inst_prop_sim_new false
% 0.57/0.76 % --inst_orphan_elimination true
% 0.57/0.76 % --inst_learning_loop_flag true
% 0.57/0.76 % --inst_learning_start 3000
% 0.57/0.76 % --inst_learning_factor 2
% 0.57/0.76 % --inst_start_prop_sim_after_learn 3
% 0.57/0.76 % --inst_sel_renew solver
% 0.57/0.76 % --inst_lit_activity_flag true
% 0.57/0.76 % --inst_out_proof true
% 0.57/0.76
% 0.57/0.76 % ------ Resolution Options
% 0.57/0.76
% 0.57/0.76 % --resolution_flag true
% 0.57/0.76 % --res_lit_sel kbo_max
% 0.57/0.76 % --res_to_prop_solver none
% 0.57/0.76 % --res_prop_simpl_new false
% 0.57/0.76 % --res_prop_simpl_given false
% 0.57/0.76 % --res_passive_queue_type priority_queues
% 0.57/0.76 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.57/0.76 % --res_passive_queues_freq [15;5]
% 0.57/0.76 % --res_forward_subs full
% 0.57/0.76 % --res_backward_subs full
% 0.57/0.76 % --res_forward_subs_resolution true
% 0.57/0.76 % --res_backward_subs_resolution true
% 0.57/0.76 % --res_orphan_elimination false
% 0.57/0.76 % --res_time_limit 1000.
% 0.57/0.76 % --res_out_proof true
% 0.57/0.76 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fabdfb.s
% 0.57/0.76 % --modulo true
% 0.57/0.76
% 0.57/0.76 % ------ Combination Options
% 0.57/0.76
% 0.57/0.76 % --comb_res_mult 1000
% 0.57/0.76 % --comb_inst_mult 300
% 0.57/0.76 % ------
% 0.57/0.76
% 0.57/0.76 % ------ Parsing...%
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 % ------ Statistics
% 0.57/0.76
% 0.57/0.76 % ------ General
% 0.57/0.76
% 0.57/0.76 % num_of_input_clauses: 700
% 0.57/0.76 % num_of_input_neg_conjectures: 0
% 0.57/0.76 % num_of_splits: 0
% 0.57/0.76 % num_of_split_atoms: 0
% 0.57/0.76 % num_of_sem_filtered_clauses: 0
% 0.57/0.76 % num_of_subtypes: 0
% 0.57/0.76 % monotx_restored_types: 0
% 0.57/0.76 % sat_num_of_epr_types: 0
% 0.57/0.76 % sat_num_of_non_cyclic_types: 0
% 0.57/0.76 % sat_guarded_non_collapsed_types: 0
% 0.57/0.76 % is_epr: 0
% 0.57/0.76 % is_horn: 0
% 0.57/0.76 % has_eq: 0
% 0.57/0.76 % num_pure_diseq_elim: 0
% 0.57/0.76 % simp_replaced_by: 0
% 0.57/0.76 % res_preprocessed: 0
% 0.57/0.76 % prep_upred: 0
% 0.57/0.76 % prep_unflattend: 0
% 0.57/0.76 % pred_elim_cands: 0
% 0.57/0.76 % pred_elim: 0
% 0.57/0.76 % pred_elim_cl: 0
% 0.57/0.76 % pred_elim_cycles: 0
% 0.57/0.76 % forced_gc_time: 0
% 0.57/0.76 % gc_basic_clause_elim: 0
% 0.57/0.76 % parsing_time: 0.
% 0.57/0.76 % sem_filter_time: 0.
% 0.57/0.76 % pred_elim_time: 0.
% 0.57/0.76 % out_proof_time: 0.
% 0.57/0.76 % monotx_time: 0.
% 0.57/0.76 % subtype_inf_time: 0.
% 0.57/0.76 % unif_index_cands_time: 0.
% 0.57/0.76 % uFatal error: exception Failure("Parse error in: /export/starexec/sandbox/tmp/iprover_modulo_d62d59.p line: 703 near token: '!='")
% 0.57/0.76 nif_index_add_time: 0.
% 0.57/0.76 % total_time: 0.042
% 0.57/0.76 % num_of_symbols: 151
% 0.57/0.76 % num_of_terms: 1950
% 0.57/0.76
% 0.57/0.76 % ------ Propositional Solver
% 0.57/0.76
% 0.57/0.76 % prop_solver_calls: 0
% 0.57/0.76 % prop_fast_solver_calls: 0
% 0.57/0.76 % prop_num_of_clauses: 0
% 0.57/0.76 % prop_preprocess_simplified: 0
% 0.57/0.76 % prop_fo_subsumed: 0
% 0.57/0.76 % prop_solver_time: 0.
% 0.57/0.76 % prop_fast_solver_time: 0.
% 0.57/0.76 % prop_unsat_core_time: 0.
% 0.57/0.76
% 0.57/0.76 % ------ QBF
% 0.57/0.76
% 0.57/0.76 % qbf_q_res: 0
% 0.57/0.76 % qbf_num_tautologies: 0
% 0.57/0.76 % qbf_prep_cycles: 0
% 0.57/0.76
% 0.57/0.76 % ------ BMC1
% 0.57/0.76
% 0.57/0.76 % bmc1_current_bound: -1
% 0.57/0.76 % bmc1_last_solved_bound: -1
% 0.57/0.76 % bmc1_unsat_core_size: -1
% 0.57/0.76 % bmc1_unsat_core_parents_size: -1
% 0.57/0.76 % bmc1_merge_next_fun: 0
% 0.57/0.76 % bmc1_unsat_core_clauses_time: 0.
% 0.57/0.76
% 0.57/0.76 % ------ Instantiation
% 0.57/0.76
% 0.57/0.76 % inst_num_of_clauses: undef
% 0.57/0.76 % inst_num_in_passive: undef
% 0.57/0.76 % inst_num_in_active: 0
% 0.57/0.76 % inst_num_in_unprocessed: 0
% 0.57/0.76 % inst_num_of_loops: 0
% 0.57/0.76 % inst_num_of_learning_restarts: 0
% 0.57/0.76 % inst_num_moves_active_passive: 0
% 0.57/0.76 % inst_lit_activity: 0
% 0.57/0.76 % inst_lit_activity_moves: 0
% 0.57/0.76 % inst_num_tautologies: 0
% 0.57/0.76 % inst_num_prop_implied: 0
% 0.57/0.76 % inst_num_existing_simplified: 0
% 0.57/0.76 % inst_num_eq_res_simplified: 0
% 0.57/0.76 % inst_num_child_elim: 0
% 0.57/0.76 % inst_num_of_dismatching_blockings: 0
% 0.57/0.76 % inst_num_of_non_proper_insts: 0
% 0.57/0.76 % inst_num_of_duplicates: 0
% 0.57/0.76 % inst_inst_num_from_inst_to_res: 0
% 0.57/0.76 % inst_dismatching_checking_time: 0.
% 0.57/0.76
% 0.57/0.76 % ------ Resolution
% 0.57/0.76
% 0.57/0.76 % res_num_of_clauses: undef
% 0.57/0.76 % res_num_in_passive: undef
% 0.57/0.76 % res_num_in_active: 0
% 0.57/0.76 % res_num_of_loops: 0
% 0.57/0.76 % res_forward_subset_subsumed: 0
% 0.57/0.76 % res_backward_subset_subsumed: 0
% 0.57/0.76 % res_forward_subsumed: 0
% 0.57/0.76 % res_backward_subsumed: 0
% 0.57/0.76 % res_forward_subsumption_resolution: 0
% 0.57/0.76 % res_backward_subsumption_resolution: 0
% 0.57/0.76 % res_clause_to_clause_subsumption: 0
% 0.57/0.76 % res_orphan_elimination: 0
% 0.57/0.76 % res_tautology_del: 0
% 0.57/0.76 % res_num_eq_res_simplified: 0
% 0.57/0.76 % res_num_sel_changes: 0
% 0.57/0.76 % res_moves_from_active_to_pass: 0
% 0.57/0.76
% 0.57/0.76 % Status Unknown
% 0.95/1.08 % Orienting using strategy ClausalAll
% 0.95/1.08 % FOF problem with conjecture
% 0.95/1.08 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fabdfb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_d62d59.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c5c000 | grep -v "SZS"
% 0.95/1.10
% 0.95/1.10 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.95/1.10
% 0.95/1.10 %
% 0.95/1.10 % ------ iProver source info
% 0.95/1.10
% 0.95/1.10 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.95/1.10 % git: non_committed_changes: true
% 0.95/1.10 % git: last_make_outside_of_git: true
% 0.95/1.10
% 0.95/1.10 %
% 0.95/1.10 % ------ Input Options
% 0.95/1.10
% 0.95/1.10 % --out_options all
% 0.95/1.10 % --tptp_safe_out true
% 0.95/1.10 % --problem_path ""
% 0.95/1.10 % --include_path ""
% 0.95/1.10 % --clausifier .//eprover
% 0.95/1.10 % --clausifier_options --tstp-format
% 0.95/1.10 % --stdin false
% 0.95/1.10 % --dbg_backtrace false
% 0.95/1.10 % --dbg_dump_prop_clauses false
% 0.95/1.10 % --dbg_dump_prop_clauses_file -
% 0.95/1.10 % --dbg_out_stat false
% 0.95/1.10
% 0.95/1.10 % ------ General Options
% 0.95/1.10
% 0.95/1.10 % --fof false
% 0.95/1.10 % --time_out_real 150.
% 0.95/1.10 % --time_out_prep_mult 0.2
% 0.95/1.10 % --time_out_virtual -1.
% 0.95/1.10 % --schedule none
% 0.95/1.10 % --ground_splitting input
% 0.95/1.10 % --splitting_nvd 16
% 0.95/1.10 % --non_eq_to_eq false
% 0.95/1.10 % --prep_gs_sim true
% 0.95/1.10 % --prep_unflatten false
% 0.95/1.10 % --prep_res_sim true
% 0.95/1.10 % --prep_upred true
% 0.95/1.10 % --res_sim_input true
% 0.95/1.10 % --clause_weak_htbl true
% 0.95/1.10 % --gc_record_bc_elim false
% 0.95/1.10 % --symbol_type_check false
% 0.95/1.10 % --clausify_out false
% 0.95/1.10 % --large_theory_mode false
% 0.95/1.10 % --prep_sem_filter none
% 0.95/1.10 % --prep_sem_filter_out false
% 0.95/1.10 % --preprocessed_out false
% 0.95/1.10 % --sub_typing false
% 0.95/1.10 % --brand_transform false
% 0.95/1.10 % --pure_diseq_elim true
% 0.95/1.10 % --min_unsat_core false
% 0.95/1.10 % --pred_elim true
% 0.95/1.10 % --add_important_lit false
% 0.95/1.10 % --soft_assumptions false
% 0.95/1.10 % --reset_solvers false
% 0.95/1.10 % --bc_imp_inh []
% 0.95/1.10 % --conj_cone_tolerance 1.5
% 0.95/1.10 % --prolific_symb_bound 500
% 0.95/1.10 % --lt_threshold 2000
% 0.95/1.10
% 0.95/1.10 % ------ SAT Options
% 0.95/1.10
% 0.95/1.10 % --sat_mode false
% 0.95/1.10 % --sat_fm_restart_options ""
% 0.95/1.10 % --sat_gr_def false
% 0.95/1.10 % --sat_epr_types true
% 0.95/1.10 % --sat_non_cyclic_types false
% 0.95/1.10 % --sat_finite_models false
% 0.95/1.10 % --sat_fm_lemmas false
% 0.95/1.10 % --sat_fm_prep false
% 0.95/1.10 % --sat_fm_uc_incr true
% 0.95/1.10 % --sat_out_model small
% 0.95/1.10 % --sat_out_clauses false
% 0.95/1.10
% 0.95/1.10 % ------ QBF Options
% 0.95/1.10
% 0.95/1.10 % --qbf_mode false
% 0.95/1.10 % --qbf_elim_univ true
% 0.95/1.10 % --qbf_sk_in true
% 0.95/1.10 % --qbf_pred_elim true
% 0.95/1.10 % --qbf_split 32
% 0.95/1.10
% 0.95/1.10 % ------ BMC1 Options
% 0.95/1.10
% 0.95/1.10 % --bmc1_incremental false
% 0.95/1.10 % --bmc1_axioms reachable_all
% 0.95/1.10 % --bmc1_min_bound 0
% 0.95/1.10 % --bmc1_max_bound -1
% 0.95/1.10 % --bmc1_max_bound_default -1
% 0.95/1.10 % --bmc1_symbol_reachability true
% 0.95/1.10 % --bmc1_property_lemmas false
% 0.95/1.10 % --bmc1_k_induction false
% 0.95/1.10 % --bmc1_non_equiv_states false
% 0.95/1.10 % --bmc1_deadlock false
% 0.95/1.10 % --bmc1_ucm false
% 0.95/1.10 % --bmc1_add_unsat_core none
% 0.95/1.10 % --bmc1_unsat_core_children false
% 0.95/1.10 % --bmc1_unsat_core_extrapolate_axioms false
% 0.95/1.10 % --bmc1_out_stat full
% 0.95/1.10 % --bmc1_ground_init false
% 0.95/1.10 % --bmc1_pre_inst_next_state false
% 0.95/1.10 % --bmc1_pre_inst_state false
% 0.95/1.10 % --bmc1_pre_inst_reach_state false
% 0.95/1.10 % --bmc1_out_unsat_core false
% 0.95/1.10 % --bmc1_aig_witness_out false
% 0.95/1.10 % --bmc1_verbose false
% 0.95/1.10 % --bmc1_dump_clauses_tptp false
% 5.10/5.34 % --bmc1_dump_unsat_core_tptp false
% 5.10/5.34 % --bmc1_dump_file -
% 5.10/5.34 % --bmc1_ucm_expand_uc_limit 128
% 5.10/5.34 % --bmc1_ucm_n_expand_iterations 6
% 5.10/5.34 % --bmc1_ucm_extend_mode 1
% 5.10/5.34 % --bmc1_ucm_init_mode 2
% 5.10/5.34 % --bmc1_ucm_cone_mode none
% 5.10/5.34 % --bmc1_ucm_reduced_relation_type 0
% 5.10/5.34 % --bmc1_ucm_relax_model 4
% 5.10/5.34 % --bmc1_ucm_full_tr_after_sat true
% 5.10/5.34 % --bmc1_ucm_expand_neg_assumptions false
% 5.10/5.34 % --bmc1_ucm_layered_model none
% 5.10/5.34 % --bmc1_ucm_max_lemma_size 10
% 5.10/5.34
% 5.10/5.34 % ------ AIG Options
% 5.10/5.34
% 5.10/5.34 % --aig_mode false
% 5.10/5.34
% 5.10/5.34 % ------ Instantiation Options
% 5.10/5.34
% 5.10/5.34 % --instantiation_flag true
% 5.10/5.34 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.10/5.34 % --inst_solver_per_active 750
% 5.10/5.34 % --inst_solver_calls_frac 0.5
% 5.10/5.34 % --inst_passive_queue_type priority_queues
% 5.10/5.34 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.10/5.34 % --inst_passive_queues_freq [25;2]
% 5.10/5.34 % --inst_dismatching true
% 5.10/5.34 % --inst_eager_unprocessed_to_passive true
% 5.10/5.34 % --inst_prop_sim_given true
% 5.10/5.34 % --inst_prop_sim_new false
% 5.10/5.34 % --inst_orphan_elimination true
% 5.10/5.34 % --inst_learning_loop_flag true
% 5.10/5.34 % --inst_learning_start 3000
% 5.10/5.34 % --inst_learning_factor 2
% 5.10/5.34 % --inst_start_prop_sim_after_learn 3
% 5.10/5.34 % --inst_sel_renew solver
% 5.10/5.34 % --inst_lit_activity_flag true
% 5.10/5.34 % --inst_out_proof true
% 5.10/5.34
% 5.10/5.34 % ------ Resolution Options
% 5.10/5.34
% 5.10/5.34 % --resolution_flag true
% 5.10/5.34 % --res_lit_sel kbo_max
% 5.10/5.34 % --res_to_prop_solver none
% 5.10/5.34 % --res_prop_simpl_new false
% 5.10/5.34 % --res_prop_simpl_given false
% 5.10/5.34 % --res_passive_queue_type priority_queues
% 5.10/5.34 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.10/5.34 % --res_passive_queues_freq [15;5]
% 5.10/5.34 % --res_forward_subs full
% 5.10/5.34 % --res_backward_subs full
% 5.10/5.34 % --res_forward_subs_resolution true
% 5.10/5.34 % --res_backward_subs_resolution true
% 5.10/5.34 % --res_orphan_elimination false
% 5.10/5.34 % --res_time_limit 1000.
% 5.10/5.34 % --res_out_proof true
% 5.10/5.34 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fabdfb.s
% 5.10/5.34 % --modulo true
% 5.10/5.34
% 5.10/5.34 % ------ Combination Options
% 5.10/5.34
% 5.10/5.34 % --comb_res_mult 1000
% 5.10/5.34 % --comb_inst_mult 300
% 5.10/5.34 % ------
% 5.10/5.34
% 5.10/5.34 % ------ Parsing...% successful
% 5.10/5.34
% 5.10/5.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 5.10/5.34
% 5.10/5.34 % ------ Proving...
% 5.10/5.34 % ------ Problem Properties
% 5.10/5.34
% 5.10/5.34 %
% 5.10/5.34 % EPR false
% 5.10/5.34 % Horn false
% 5.10/5.34 % Has equality true
% 5.10/5.34
% 5.10/5.34 % % ------ Input Options Time Limit: Unbounded
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 Compiling...
% 5.10/5.34 Loading plugin: done.
% 5.10/5.34 % % ------ Current options:
% 5.10/5.34
% 5.10/5.34 % ------ Input Options
% 5.10/5.34
% 5.10/5.34 % --out_options all
% 5.10/5.34 % --tptp_safe_out true
% 5.10/5.34 % --problem_path ""
% 5.10/5.34 % --include_path ""
% 5.10/5.34 % --clausifier .//eprover
% 5.10/5.34 % --clausifier_options --tstp-format
% 5.10/5.34 % --stdin false
% 5.10/5.34 % --dbg_backtrace false
% 5.10/5.34 % --dbg_dump_prop_clauses false
% 5.10/5.34 % --dbg_dump_prop_clauses_file -
% 5.10/5.34 % --dbg_out_stat false
% 5.10/5.34
% 5.10/5.34 % ------ General Options
% 5.10/5.34
% 5.10/5.34 % --fof false
% 5.10/5.34 % --time_out_real 150.
% 5.10/5.34 % --time_out_prep_mult 0.2
% 5.10/5.34 % --time_out_virtual -1.
% 5.10/5.34 % --schedule none
% 5.10/5.34 % --ground_splitting input
% 5.10/5.34 % --splitting_nvd 16
% 5.10/5.34 % --non_eq_to_eq false
% 5.10/5.34 % --prep_gs_sim true
% 5.10/5.34 % --prep_unflatten false
% 5.10/5.34 % --prep_res_sim true
% 5.10/5.34 % --prep_upred true
% 5.10/5.34 % --res_sim_input true
% 5.10/5.34 % --clause_weak_htbl true
% 5.10/5.34 % --gc_record_bc_elim false
% 5.10/5.34 % --symbol_type_check false
% 5.10/5.34 % --clausify_out false
% 5.10/5.34 % --large_theory_mode false
% 5.10/5.34 % --prep_sem_filter none
% 5.10/5.34 % --prep_sem_filter_out false
% 5.10/5.34 % --preprocessed_out false
% 5.10/5.34 % --sub_typing false
% 5.10/5.34 % --brand_transform false
% 5.10/5.34 % --pure_diseq_elim true
% 5.10/5.34 % --min_unsat_core false
% 5.10/5.34 % --pred_elim true
% 5.10/5.34 % --add_important_lit false
% 5.10/5.34 % --soft_assumptions false
% 5.10/5.34 % --reset_solvers false
% 5.10/5.34 % --bc_imp_inh []
% 5.10/5.34 % --conj_cone_tolerance 1.5
% 5.10/5.34 % --prolific_symb_bound 500
% 5.10/5.34 % --lt_threshold 2000
% 5.10/5.34
% 5.10/5.34 % ------ SAT Options
% 5.10/5.34
% 5.10/5.34 % --sat_mode false
% 5.10/5.34 % --sat_fm_restart_options ""
% 5.10/5.34 % --sat_gr_def false
% 5.10/5.34 % --sat_epr_types true
% 5.10/5.34 % --sat_non_cyclic_types false
% 5.10/5.34 % --sat_finite_models false
% 5.10/5.34 % --sat_fm_lemmas false
% 5.10/5.34 % --sat_fm_prep false
% 5.10/5.34 % --sat_fm_uc_incr true
% 5.10/5.34 % --sat_out_model small
% 5.10/5.34 % --sat_out_clauses false
% 5.10/5.34
% 5.10/5.34 % ------ QBF Options
% 5.10/5.34
% 5.10/5.34 % --qbf_mode false
% 5.10/5.34 % --qbf_elim_univ true
% 5.10/5.34 % --qbf_sk_in true
% 5.10/5.34 % --qbf_pred_elim true
% 5.10/5.34 % --qbf_split 32
% 5.10/5.34
% 5.10/5.34 % ------ BMC1 Options
% 5.10/5.34
% 5.10/5.34 % --bmc1_incremental false
% 5.10/5.34 % --bmc1_axioms reachable_all
% 5.10/5.34 % --bmc1_min_bound 0
% 5.10/5.34 % --bmc1_max_bound -1
% 5.10/5.34 % --bmc1_max_bound_default -1
% 5.10/5.34 % --bmc1_symbol_reachability true
% 5.10/5.34 % --bmc1_property_lemmas false
% 5.10/5.34 % --bmc1_k_induction false
% 5.10/5.34 % --bmc1_non_equiv_states false
% 5.10/5.34 % --bmc1_deadlock false
% 5.10/5.34 % --bmc1_ucm false
% 5.10/5.34 % --bmc1_add_unsat_core none
% 5.10/5.34 % --bmc1_unsat_core_children false
% 5.10/5.34 % --bmc1_unsat_core_extrapolate_axioms false
% 5.10/5.34 % --bmc1_out_stat full
% 5.10/5.34 % --bmc1_ground_init false
% 5.10/5.34 % --bmc1_pre_inst_next_state false
% 5.10/5.34 % --bmc1_pre_inst_state false
% 5.10/5.34 % --bmc1_pre_inst_reach_state false
% 5.10/5.34 % --bmc1_out_unsat_core false
% 5.10/5.34 % --bmc1_aig_witness_out false
% 5.10/5.34 % --bmc1_verbose false
% 5.10/5.34 % --bmc1_dump_clauses_tptp false
% 5.10/5.34 % --bmc1_dump_unsat_core_tptp false
% 5.10/5.34 % --bmc1_dump_file -
% 5.10/5.34 % --bmc1_ucm_expand_uc_limit 128
% 5.10/5.34 % --bmc1_ucm_n_expand_iterations 6
% 5.10/5.34 % --bmc1_ucm_extend_mode 1
% 5.10/5.34 % --bmc1_ucm_init_mode 2
% 5.10/5.34 % --bmc1_ucm_cone_mode none
% 5.10/5.34 % --bmc1_ucm_reduced_relation_type 0
% 5.10/5.34 % --bmc1_ucm_relax_model 4
% 5.10/5.34 % --bmc1_ucm_full_tr_after_sat true
% 5.10/5.34 % --bmc1_ucm_expand_neg_assumptions false
% 5.10/5.34 % --bmc1_ucm_layered_model none
% 5.10/5.34 % --bmc1_ucm_max_lemma_size 10
% 5.10/5.34
% 5.10/5.34 % ------ AIG Options
% 5.10/5.34
% 5.10/5.34 % --aig_mode false
% 5.10/5.34
% 5.10/5.34 % ------ Instantiation Options
% 5.10/5.34
% 5.10/5.34 % --instantiation_flag true
% 5.10/5.34 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.10/5.34 % --inst_solver_per_active 750
% 5.10/5.34 % --inst_solver_calls_frac 0.5
% 5.10/5.34 % --inst_passive_queue_type priority_queues
% 5.10/5.34 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.10/5.34 % --inst_passive_queues_freq [25;2]
% 5.10/5.34 % --inst_dismatching true
% 5.10/5.34 % --inst_eager_unprocessed_to_passive true
% 5.10/5.34 % --inst_prop_sim_given true
% 5.10/5.34 % --inst_prop_sim_new false
% 5.10/5.34 % --inst_orphan_elimination true
% 5.10/5.34 % --inst_learning_loop_flag true
% 5.10/5.34 % --inst_learning_start 3000
% 5.10/5.34 % --inst_learning_factor 2
% 5.10/5.34 % --inst_start_prop_sim_after_learn 3
% 5.10/5.34 % --inst_sel_renew solver
% 5.10/5.34 % --inst_lit_activity_flag true
% 5.10/5.34 % --inst_out_proof true
% 5.10/5.34
% 5.10/5.34 % ------ Resolution Options
% 5.10/5.34
% 5.10/5.34 % --resolution_flag true
% 5.10/5.34 % --res_lit_sel kbo_max
% 5.10/5.34 % --res_to_prop_solver none
% 5.10/5.34 % --res_prop_simpl_new false
% 5.10/5.34 % --res_prop_simpl_given false
% 5.10/5.34 % --res_passive_queue_type priority_queues
% 5.10/5.34 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.10/5.34 % --res_passive_queues_freq [15;5]
% 5.10/5.34 % --res_forward_subs full
% 5.10/5.34 % --res_backward_subs full
% 5.10/5.34 % --res_forward_subs_resolution true
% 5.10/5.34 % --res_backward_subs_resolution true
% 5.10/5.34 % --res_orphan_elimination false
% 5.10/5.34 % --res_time_limit 1000.
% 5.10/5.34 % --res_out_proof true
% 5.10/5.34 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_fabdfb.s
% 5.10/5.34 % --modulo true
% 5.10/5.34
% 5.10/5.34 % ------ Combination Options
% 5.10/5.34
% 5.10/5.34 % --comb_res_mult 1000
% 5.10/5.34 % --comb_inst_mult 300
% 5.10/5.34 % ------
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34 % ------ Proving...
% 5.10/5.34 % warning: shown sat in sat incomplete mode
% 5.10/5.34 %
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34
% 5.10/5.34 cnf(c_4298,plain,
% 5.10/5.34 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_4(X2,X1,X3,X0)))),X2)) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5558_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18273,plain,
% 5.10/5.34 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_4(X2,X1,X3,X0)))),X2)) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4298]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18274,plain,
% 5.10/5.34 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk20_4(X2,X1,X3,X0)))),X2))
% 5.10/5.34 | c_SEQ_OBseq(X0,X1) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18273]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4295,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.10/5.34 | ~ class_Orderings_Oord(X1)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk7_4(X3,X2,X0,X1))),hAPP(X3,sk1_esk7_4(X3,X2,X0,X1)))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5559_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18267,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.10/5.34 | ~ class_Orderings_Oord(X1)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,sk1_esk7_4(X3,X2,X0,X1))),hAPP(X3,sk1_esk7_4(X3,X2,X0,X1)))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4295]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18268,plain,
% 5.10/5.34 ( ~ class_Orderings_Oord(X0)
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,sk1_esk7_4(X3,X2,X1,X0))),hAPP(X3,sk1_esk7_4(X3,X2,X1,X0)))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18267]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4292,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3)),X5)) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5560_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18261,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3)),X5)) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4292]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18262,plain,
% 5.10/5.34 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4)),X5))
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18261]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4286,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4)),X5))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5562_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18249,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4)),X5))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4286]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18250,plain,
% 5.10/5.34 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4)),X5))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18249]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4281,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 5.10/5.34 | ~ class_Orderings_Oord(X4)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk76_4(X1,X3,X4,X0)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5563_4) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18239,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 5.10/5.34 | ~ class_Orderings_Oord(X4)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(X1,X3),hAPP(X1,sk1_esk76_4(X1,X3,X4,X0)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4281]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18240,plain,
% 5.10/5.34 ( ~ class_Orderings_Oord(X0)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.10/5.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X4))))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X4),hAPP(X2,sk1_esk76_4(X2,X4,X0,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X3)) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18239]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4278,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3)),X4))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5564_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18233,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3)),X4))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4278]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18234,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3)),X4))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18233]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4271,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5568_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18219,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4271]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18220,plain,
% 5.10/5.34 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18219]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4269,plain,
% 5.10/5.34 ( ~ class_Fields_Ofield(X0)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.34 | c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X7),X4))
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X5,X6,X7) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5569_1) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18215,plain,
% 5.10/5.34 ( ~ class_Fields_Ofield(X0)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.34 | c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X7),X4))
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X5,X6,X7) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4269]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18216,plain,
% 5.10/5.34 ( ~ class_Fields_Ofield(X0)
% 5.10/5.34 | c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3),X4,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6))
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18215]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4264,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5570_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18205,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4264]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18206,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4)))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18205]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4261,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4),X1)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4),X5))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5571_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18199,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4),X5)))
% 5.10/5.34 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4),X1)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4),X5))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4261]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18200,plain,
% 5.10/5.34 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)))
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18199]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4250,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk32_2(X1,X0)))))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk31_3(X1,X0,X3)))),X3))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5576_3) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18177,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk32_2(X1,X0)))))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk31_3(X1,X0,X3)))),X3))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4250]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18178,plain,
% 5.10/5.34 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,sk1_esk31_3(X2,X0,X1)))),X1))
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,X3))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk32_2(X2,X0))))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18177]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4247,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk34_2(X1,X0)))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk33_3(X1,X0,X3)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X3)))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5577_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18171,plain,
% 5.10/5.34 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk34_2(X1,X0)))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk33_3(X1,X0,X3)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X3)))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4247]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18172,plain,
% 5.10/5.34 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk33_3(X1,X0,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))))
% 5.10/5.34 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))),sk1_esk34_2(X1,X0))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18171]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4235,plain,
% 5.10/5.34 ( X0 = X1
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X6,X0)
% 5.10/5.34 | ~ class_Fields_Ofield(X2) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5580_3) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18147,plain,
% 5.10/5.34 ( X0 = X1
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X1)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X6,X0)
% 5.10/5.34 | ~ class_Fields_Ofield(X2) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4235]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18148,plain,
% 5.10/5.34 ( ~ class_Fields_Ofield(X0)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 5.10/5.34 | X6 = X4 ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18147]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4231,plain,
% 5.10/5.34 ( X0 = X1
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X1,X5)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X6)
% 5.10/5.34 | ~ class_Fields_Ofield(X2) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5581_3) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18139,plain,
% 5.10/5.34 ( X0 = X1
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X1,X5)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X2,X3,X4,X0,X6)
% 5.10/5.34 | ~ class_Fields_Ofield(X2) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4231]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18140,plain,
% 5.10/5.34 ( ~ class_Fields_Ofield(X0)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.34 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 5.10/5.34 | X5 = X3 ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18139]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4227,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk28_2(X1,X0))))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk27_3(X1,X0,X3)))),X3))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5582_3) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18131,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk28_2(X1,X0))))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk27_3(X1,X0,X3)))),X3))
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4227]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18132,plain,
% 5.10/5.34 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.10/5.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,X3)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk28_2(X2,X0))))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,sk1_esk27_3(X2,X0,X1)))),X1)) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18131]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4224,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk34_2(X0,X1))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk33_3(X0,X1,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5583_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18125,plain,
% 5.10/5.34 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk34_2(X0,X1))
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk33_3(X0,X1,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))) ),
% 5.10/5.34 inference(copy,[status(esa)],[c_4224]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18126,plain,
% 5.10/5.34 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk34_2(X1,X0))
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk33_3(X1,X0,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))) ),
% 5.10/5.34 inference(rewriting,[status(thm)],[c_18125]) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_4219,plain,
% 5.10/5.34 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.34 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.34 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk44_3(X1,X0,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))) ),
% 5.10/5.34 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5585_2) ).
% 5.10/5.34
% 5.10/5.34 cnf(c_18115,plain,
% 5.10/5.35 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.35 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk44_3(X1,X0,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4219]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18116,plain,
% 5.10/5.35 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk44_3(X1,X0,X2)))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))))
% 5.10/5.35 | c_SEQ_OBseq(X0,X1) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18115]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4211,plain,
% 5.10/5.35 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.35 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk13_3(X1,X0,X2)))),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5587_3) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18099,plain,
% 5.10/5.35 ( c_SEQ_OBseq(X0,X1)
% 5.10/5.35 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk13_3(X1,X0,X2)))),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4211]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18100,plain,
% 5.10/5.35 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,sk1_esk13_3(X2,X0,X1)))),X1))
% 5.10/5.35 | c_SEQ_OBseq(X0,X2) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18099]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4208,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5588_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18093,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4208]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18094,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18093]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4205,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0))),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5589_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18087,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0))),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4205]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18088,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18087]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4198,plain,
% 5.10/5.35 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5592_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18073,plain,
% 5.10/5.35 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4198]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18074,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X2)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X4)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18073]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4195,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5592_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18067,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X2))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4195]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18068,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X4),X0)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X4)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18067]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4191,plain,
% 5.10/5.35 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5594_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18059,plain,
% 5.10/5.35 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X4)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X4)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4191]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18060,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X2)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X4),X1)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18059]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4188,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5594_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18053,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X3)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X3)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4188]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18054,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X4),X2)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18053]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4185,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3))),X2))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5595_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18047,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3))),X2))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4185]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18048,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18047]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4183,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5))),X2))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X5),X2)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5595_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18043,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5))),X2))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X5),X2)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4183]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18044,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4))),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18043]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4181,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X5))
% 5.10/5.35 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5595_6) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18039,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X5))
% 5.10/5.35 | ~ class_Rings_Olinordered__semiring__1(X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4181]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18040,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__semiring__1(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4))),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X5))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18039]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4176,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3),X5) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5597_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18029,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3),X5) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4176]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18030,plain,
% 5.10/5.35 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4),X5)
% 5.10/5.35 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18029]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4173,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5598_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18023,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4173]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18024,plain,
% 5.10/5.35 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18023]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4170,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5599_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18017,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4170]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18018,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18017]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4163,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.10/5.35 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5603_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18003,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.10/5.35 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4163]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_18004,plain,
% 5.10/5.35 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_18003]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4160,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4),X5)
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5604_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17997,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4),X5)
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4160]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17998,plain,
% 5.10/5.35 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4),X5)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17997]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4157,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4),X1),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4),X5)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5605_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17991,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X2,X3)),X4),X5))
% 5.10/5.35 | ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4),X1),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4),X5)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4157]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17992,plain,
% 5.10/5.35 ( ~ class_Rings_Oordered__ring(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5))
% 5.10/5.35 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17991]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4151,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3),X4)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5607_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17979,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3),X4)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4151]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17980,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3),X4)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17979]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4148,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk75_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.10/5.35 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5608_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17973,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk75_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.10/5.35 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4148]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17974,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),sk1_esk75_2(X1,X0)),X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.35 | X0 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17973]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4145,plain,
% 5.10/5.35 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))),c_Groups_Ozero__class_Ozero(X1)))
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5610_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17967,plain,
% 5.10/5.35 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))),c_Groups_Ozero__class_Ozero(X1)))
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4145]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17968,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17967]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4144,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.10/5.35 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5610_3) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17965,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.10/5.35 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4144]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17966,plain,
% 5.10/5.35 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.10/5.35 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17965]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4141,plain,
% 5.10/5.35 ( X0 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3),X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X0,X3,X2,X4) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5611_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17959,plain,
% 5.10/5.35 ( X0 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3),X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X0,X3,X2,X4) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4141]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17960,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | X1 = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17959]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4139,plain,
% 5.10/5.35 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5612_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17955,plain,
% 5.10/5.35 ( ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4139]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17956,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17955]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4136,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5612_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17949,plain,
% 5.10/5.35 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4136]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17950,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 5.10/5.35 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17949]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4133,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),sk1_esk58_2(X0,X1))),X1)),X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5613_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17943,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),sk1_esk58_2(X0,X1))),X1)),X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4133]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17944,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),sk1_esk58_2(X1,X0))),X0)),X1)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17943]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4132,plain,
% 5.10/5.35 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X4)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5614_0) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17941,plain,
% 5.10/5.35 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X4)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4132]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17942,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2),X1)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X4))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5),X2))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2),X1) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17941]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4126,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5)))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5614_6) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17929,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X2)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5)))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X0),X4) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X5) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4126]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17930,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2),X1)))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X5))
% 5.10/5.35 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5),X4),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2),X1) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17929]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4120,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5616_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17917,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4120]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17918,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17917]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4117,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5617_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17911,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X3,X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4117]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17912,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.35 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17911]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4114,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5618_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17905,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0,X3) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4114]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17906,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17905]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4111,plain,
% 5.10/5.35 ( X0 = X1
% 5.10/5.35 | ~ class_Fields_Ofield(X2)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5619_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17899,plain,
% 5.10/5.35 ( X0 = X1
% 5.10/5.35 | ~ class_Fields_Ofield(X2)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X0) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4111]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17900,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 5.10/5.35 | X3 = X1 ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17899]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4108,plain,
% 5.10/5.35 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X0,X2,X4) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5620_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17893,plain,
% 5.10/5.35 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X3,X0,X2,X4) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4108]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17894,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17893]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4107,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X0,X4)
% 5.10/5.35 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5620_3) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17891,plain,
% 5.10/5.35 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.35 | ~ class_Fields_Ofield(X1)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X1,X2,X3,X0,X4)
% 5.10/5.35 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4107]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17892,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17891]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4102,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(X0,X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sk1_esk65_3(X2,X0,X3),X3))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5621_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17881,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(X0,X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sk1_esk65_3(X2,X0,X3),X3))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4102]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17882,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sk1_esk65_3(X1,X2,X0),X0)))
% 5.10/5.35 | hBOOL(hAPP(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0))))
% 5.10/5.35 | ~ hBOOL(hAPP(X2,X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17881]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4097,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(X0,X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk62_3(X2,X0,X3),X3))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5622_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17871,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.35 | ~ hBOOL(hAPP(X0,X1))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk62_3(X2,X0,X3),X3))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4097]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17872,plain,
% 5.10/5.35 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.10/5.35 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,sk1_esk62_3(X1,X2,X0),X0)))
% 5.10/5.35 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0))))
% 5.10/5.35 | ~ hBOOL(hAPP(X2,X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17871]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4084,plain,
% 5.10/5.35 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.35 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5627_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17845,plain,
% 5.10/5.35 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.35 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4084]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17846,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 5.10/5.35 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X3 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X4),X2),X1) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17845]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4079,plain,
% 5.10/5.35 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5628_4) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17835,plain,
% 5.10/5.35 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | ~ class_Fields_Ofield(X0)
% 5.10/5.35 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X4),c_Polynomial_Odegree(X0,X2)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4079]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17836,plain,
% 5.10/5.35 ( ~ class_Fields_Ofield(X0)
% 5.10/5.35 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.10/5.35 | c_Polynomial_Opdivmod__rel(X0,X3,X2,X4,X1)
% 5.10/5.35 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.35 | X3 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X4),X2),X1) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17835]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4077,plain,
% 5.10/5.35 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3)),X2)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5629_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17831,plain,
% 5.10/5.35 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3)),X2)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4077]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17832,plain,
% 5.10/5.35 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17831]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4073,plain,
% 5.10/5.35 ( ~ class_Groups_Oab__group__add(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3)),X2)) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5630_1) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17823,plain,
% 5.10/5.35 ( ~ class_Groups_Oab__group__add(X0)
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X2))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3)),X2)) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4073]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17824,plain,
% 5.10/5.35 ( ~ class_Groups_Oab__group__add(X0)
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.10/5.35 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3)) ),
% 5.10/5.35 inference(rewriting,[status(thm)],[c_17823]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_4068,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),sk1_esk57_3(X1,X2,X0))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.10/5.35 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5631_2) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17813,plain,
% 5.10/5.35 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.10/5.35 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),sk1_esk57_3(X1,X2,X0))),X2))
% 5.10/5.35 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.10/5.35 inference(copy,[status(esa)],[c_4068]) ).
% 5.10/5.35
% 5.10/5.35 cnf(c_17814,plain,
% 5.10/5.35 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk57_3(X0,X1,X2))),X1))
% 5.10/5.36 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.10/5.36 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17813]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4063,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5632_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17803,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4063]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17804,plain,
% 5.10/5.36 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17803]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4060,plain,
% 5.10/5.36 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk57_3(X0,X1,X2))),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5633_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17797,plain,
% 5.10/5.36 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk57_3(X0,X1,X2))),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4060]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17798,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),sk1_esk57_3(X0,X1,X2))),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)))
% 5.10/5.36 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17797]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4055,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5634_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17787,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4055]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17788,plain,
% 5.10/5.36 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17787]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4050,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),sk1_esk76_4(X1,X3,X4,X0)))
% 5.10/5.36 | ~ class_Orderings_Oord(X4)
% 5.10/5.36 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5635_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17777,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),sk1_esk76_4(X1,X3,X4,X0)))
% 5.10/5.36 | ~ class_Orderings_Oord(X4)
% 5.10/5.36 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4,X3),X2)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4050]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17778,plain,
% 5.10/5.36 ( ~ class_Orderings_Oord(X0)
% 5.10/5.36 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,X4))))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),sk1_esk76_4(X2,X4,X0,X1)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X4),X3)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17777]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4046,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X0,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X0),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5636_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17769,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X0,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X0),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4046]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17770,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17769]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4045,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5636_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17767,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4045]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17768,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17767]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4041,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5637_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17759,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4041]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17760,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17759]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4040,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5637_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17757,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4040]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17758,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17757]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4031,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 5.10/5.36 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5639_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17739,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X0)
% 5.10/5.36 | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4031]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17740,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17739]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4030,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5639_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17737,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4)
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4030]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17738,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.10/5.36 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X4 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X1 != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17737]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4021,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5645_0) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17719,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4),X5),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),X0))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X1)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4021]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17720,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X4))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X5))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17719]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4015,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5645_6) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17707,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X5,X3)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),X5) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0),X4) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4015]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17708,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X5))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X4))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5),X3) != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17707]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_4004,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))))
% 5.10/5.36 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5649_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17685,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))))
% 5.10/5.36 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_4004]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17686,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17685]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3986,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk30_2(X1,X0)))
% 5.10/5.36 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk29_3(X1,X0,X3))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X3))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5656_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17649,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk30_2(X1,X0)))
% 5.10/5.36 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk29_3(X1,X0,X3))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X3))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3986]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17650,plain,
% 5.10/5.36 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk29_3(X1,X0,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X3))),sk1_esk30_2(X1,X0))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17649]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3972,plain,
% 5.10/5.36 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.10/5.36 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5663_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17621,plain,
% 5.10/5.36 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.10/5.36 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3972]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17622,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.10/5.36 | hBOOL(hAPP(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))))
% 5.10/5.36 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17621]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3968,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5665_1) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17613,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3968]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17614,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17613]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3966,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5665_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17609,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3966]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17610,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17609]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3964,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.10/5.36 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5665_5) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17605,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.10/5.36 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3964]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17606,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17605]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3962,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5666_1) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17601,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3962]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17602,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17601]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3960,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5666_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17597,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3960]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17598,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17597]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3958,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.10/5.36 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5666_5) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17593,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.10/5.36 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3958]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17594,plain,
% 5.10/5.36 ( ~ class_Rings_Oordered__semiring(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17593]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3954,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5667_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17585,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3954]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17586,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2),X1)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17585]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3951,plain,
% 5.10/5.36 ( c_SEQ_Omonoseq(X0,X1)
% 5.10/5.36 | ~ class_Orderings_Oorder(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk41_2(X1,X0)))),hAPP(X1,sk1_esk41_2(X1,X0)))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5668_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17579,plain,
% 5.10/5.36 ( c_SEQ_Omonoseq(X0,X1)
% 5.10/5.36 | ~ class_Orderings_Oorder(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk41_2(X1,X0)))),hAPP(X1,sk1_esk41_2(X1,X0)))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3951]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17580,plain,
% 5.10/5.36 ( ~ class_Orderings_Oorder(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(sk1_esk41_2(X1,X0)))),hAPP(X1,sk1_esk41_2(X1,X0))))
% 5.10/5.36 | c_SEQ_Omonoseq(X0,X1) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17579]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3946,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5669_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17569,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3946]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17570,plain,
% 5.10/5.36 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17569]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3943,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5670_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17563,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3))
% 5.10/5.36 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3943]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17564,plain,
% 5.10/5.36 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)
% 5.10/5.36 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17563]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3940,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2) != X4 ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5671_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17557,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2) != X4 ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3940]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17558,plain,
% 5.10/5.36 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X3) != X4
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17557]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3936,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5672_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17549,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3936]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17550,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17549]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3932,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5673_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17541,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)))
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3932]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17542,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17541]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3928,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5674_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17533,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3928]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17534,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17533]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3924,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5675_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17525,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.10/5.36 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3924]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17526,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17525]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3909,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5680_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17495,plain,
% 5.10/5.36 ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X0,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X1)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3909]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17496,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17495]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3908,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5680_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17493,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3908]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17494,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X2,X3)
% 5.10/5.36 | X3 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17493]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3904,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X3 != X1
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5681_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17485,plain,
% 5.10/5.36 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 5.10/5.36 | ~ class_Fields_Ofield(X0)
% 5.10/5.36 | X3 != X1
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3904]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17486,plain,
% 5.10/5.36 ( ~ class_Fields_Ofield(X0)
% 5.10/5.36 | c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X2,X3)
% 5.10/5.36 | X2 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.10/5.36 | X3 != X1 ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17485]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3899,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.10/5.36 | ~ class_Rings_Oring(X0)
% 5.10/5.36 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5683_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17475,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.10/5.36 | ~ class_Rings_Oring(X0)
% 5.10/5.36 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3899]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17476,plain,
% 5.10/5.36 ( ~ class_Rings_Oring(X0)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.10/5.36 | X3 != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17475]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3896,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.10/5.36 | ~ class_Rings_Oring(X0)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3) != X5 ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5684_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17469,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.10/5.36 | ~ class_Rings_Oring(X0)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X2),X3) != X5 ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3896]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17470,plain,
% 5.10/5.36 ( ~ class_Rings_Oring(X0)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) != X5
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17469]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3893,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5685_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17463,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3893]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17464,plain,
% 5.10/5.36 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X1)),c_RComplete_Onatfloor(X0))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17463]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3872,plain,
% 5.10/5.36 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.10/5.36 | ~ hBOOL(hAPP(X0,X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X3)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X1)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5691_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17421,plain,
% 5.10/5.36 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.10/5.36 | ~ hBOOL(hAPP(X0,X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X3)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)),X1)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3872]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17422,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X0))
% 5.10/5.36 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))
% 5.10/5.36 | ~ hBOOL(hAPP(X3,X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17421]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3867,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5692_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17411,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3867]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17412,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 5.10/5.36 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17411]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3864,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5693_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17405,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X2)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X4,X5) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X5)) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3864]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17406,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17405]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3862,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5693_4) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17401,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X5)),X2)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X3,X4) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X4))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X5,X2) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3862]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17402,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17401]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3860,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5693_6) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17397,plain,
% 5.10/5.36 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.10/5.36 | ~ class_Rings_Olinordered__semiring__1__strict(X0) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3860]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17398,plain,
% 5.10/5.36 ( ~ class_Rings_Olinordered__semiring__1__strict(X0)
% 5.10/5.36 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)),X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X4,X5)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,X2,X5)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(X0,X1,X3) != c_Groups_Oone__class_Oone(X0) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17397]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3851,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5696_3) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17379,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.10/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3851]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17380,plain,
% 5.10/5.36 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X3))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17379]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3839,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5700_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17355,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3839]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17356,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17355]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3836,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5701_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17349,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3836]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17350,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17349]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3830,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5703_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17337,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3830]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17338,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17337]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3827,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5704_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17331,plain,
% 5.10/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3827]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17332,plain,
% 5.10/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 5.10/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17331]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3824,plain,
% 5.10/5.36 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5705_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17325,plain,
% 5.10/5.36 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4)
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3824]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17326,plain,
% 5.10/5.36 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)
% 5.10/5.36 | X3 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X4) ),
% 5.10/5.36 inference(rewriting,[status(thm)],[c_17325]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_3821,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3) = X4
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4) ),
% 5.10/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5706_2) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17319,plain,
% 5.10/5.36 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3) = X4
% 5.10/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4) ),
% 5.10/5.36 inference(copy,[status(esa)],[c_3821]) ).
% 5.10/5.36
% 5.10/5.36 cnf(c_17320,plain,
% 5.10/5.36 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.10/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X3) = X4
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X4) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17319]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3816,plain,
% 5.19/5.36 ( hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.19/5.36 | hBOOL(hAPP(X0,sk1_esk65_3(X2,X0,X3)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.19/5.36 | ~ hBOOL(hAPP(X0,X1))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5707_4) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17309,plain,
% 5.19/5.36 ( hBOOL(hAPP(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.19/5.36 | hBOOL(hAPP(X0,sk1_esk65_3(X2,X0,X3)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.19/5.36 | ~ hBOOL(hAPP(X0,X1))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3816]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17310,plain,
% 5.19/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.36 | hBOOL(hAPP(X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0))))
% 5.19/5.36 | hBOOL(hAPP(X2,sk1_esk65_3(X1,X2,X0)))
% 5.19/5.36 | ~ hBOOL(hAPP(X2,X3)) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17309]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3811,plain,
% 5.19/5.36 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.19/5.36 | hBOOL(hAPP(X0,sk1_esk62_3(X2,X0,X3)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.19/5.36 | ~ hBOOL(hAPP(X0,X1))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5708_4) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17299,plain,
% 5.19/5.36 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))))
% 5.19/5.36 | hBOOL(hAPP(X0,sk1_esk62_3(X2,X0,X3)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)
% 5.19/5.36 | ~ hBOOL(hAPP(X0,X1))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2)) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3811]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17300,plain,
% 5.19/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.36 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0))))
% 5.19/5.36 | hBOOL(hAPP(X2,sk1_esk62_3(X1,X2,X0)))
% 5.19/5.36 | ~ hBOOL(hAPP(X2,X3)) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17299]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3805,plain,
% 5.19/5.36 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.36 | ~ class_Orderings_Oorder(X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk40_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk40_2(X1,X0))))) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5710_2) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17287,plain,
% 5.19/5.36 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.36 | ~ class_Orderings_Oorder(X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk40_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk40_2(X1,X0))))) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3805]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17288,plain,
% 5.19/5.36 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk40_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk40_2(X1,X0)))))
% 5.19/5.36 | c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17287]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3802,plain,
% 5.19/5.36 ( X0 = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5)
% 5.19/5.36 | ~ class_Rings_Oring(X1)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X0) != c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5711_2) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17281,plain,
% 5.19/5.36 ( X0 = c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5)
% 5.19/5.36 | ~ class_Rings_Oring(X1)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X0) != c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3802]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17282,plain,
% 5.19/5.36 ( ~ class_Rings_Oring(X0)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X2),X5)
% 5.19/5.36 | X3 = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X4,X1)),X2),X5) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17281]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3799,plain,
% 5.19/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.19/5.36 | ~ class_Rings_Oring(X0)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5712_2) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17275,plain,
% 5.19/5.36 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.19/5.36 | ~ class_Rings_Oring(X0)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3799]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17276,plain,
% 5.19/5.36 ( ~ class_Rings_Oring(X0)
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3),X4) = X5
% 5.19/5.36 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),X4) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),X5) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17275]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3792,plain,
% 5.19/5.36 ( X0 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X0)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),X1)) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5714_3) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17261,plain,
% 5.19/5.36 ( X0 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(X0)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)),X1)) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3792]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17262,plain,
% 5.19/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(X2)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),X1))
% 5.19/5.36 | X2 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17261]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3788,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3))
% 5.19/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5715_3) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17253,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3))
% 5.19/5.36 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X3,X2)))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3788]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17254,plain,
% 5.19/5.36 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X3))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17253]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3779,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5718_2) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17235,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3779]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17236,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17235]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3773,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.19/5.36 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5720_3) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17223,plain,
% 5.19/5.36 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 5.19/5.36 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.19/5.36 inference(copy,[status(esa)],[c_3773]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_17224,plain,
% 5.19/5.36 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.36 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)))
% 5.19/5.36 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.19/5.36 inference(rewriting,[status(thm)],[c_17223]) ).
% 5.19/5.36
% 5.19/5.36 cnf(c_3770,plain,
% 5.19/5.36 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk30_2(X0,X1))
% 5.19/5.36 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk29_3(X0,X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5721_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17217,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk30_2(X0,X1))
% 5.19/5.37 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X0,sk1_esk29_3(X0,X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3770]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17218,plain,
% 5.19/5.37 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk30_2(X1,X0))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk29_3(X1,X0,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17217]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3766,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5723_0) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17209,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3766]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17210,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17209]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3763,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5723_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17203,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3763]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17204,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17203]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3759,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5724_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17195,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__comm__semiring(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3759]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17196,plain,
% 5.19/5.37 ( ~ class_Rings_Oordered__comm__semiring(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17195]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3755,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5725_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17187,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3755]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17188,plain,
% 5.19/5.37 ( ~ class_Rings_Oordered__semiring(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17187]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3751,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5726_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17179,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ class_Rings_Oordered__semiring(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3751]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17180,plain,
% 5.19/5.37 ( ~ class_Rings_Oordered__semiring(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17179]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3747,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5727_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17171,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3747]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17172,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17171]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3743,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5728_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17163,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3743]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17164,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17163]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3739,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5729_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17155,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3739]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17156,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17155]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3735,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5730_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17147,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3735]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17148,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17147]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3732,plain,
% 5.19/5.37 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(sk1_esk57_3(X2,X1,X0))))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5731_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17141,plain,
% 5.19/5.37 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Nat_OSuc(sk1_esk57_3(X2,X1,X0))))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3732]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17142,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(sk1_esk57_3(X1,X0,X2))))
% 5.19/5.37 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.37 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17141]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3726,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(X0,X2,X4)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5733_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17129,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(X0,X2,X4)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3726]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17130,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X4)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17129]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3723,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5734_0) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17123,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3723]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17124,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17123]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3720,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5734_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17117,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3720]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17118,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17117]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3712,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5737_4) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17101,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3712]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17102,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17101]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3707,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5738_4) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17091,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3707]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17092,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17091]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3694,plain,
% 5.19/5.37 ( c_SEQ_OBseq(X0,X1)
% 5.19/5.37 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5742_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17065,plain,
% 5.19/5.37 ( c_SEQ_OBseq(X0,X1)
% 5.19/5.37 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3694]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17066,plain,
% 5.19/5.37 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk37_3(X1,X0,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X2)))
% 5.19/5.37 | c_SEQ_OBseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17065]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3686,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5744_4) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17049,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3686]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17050,plain,
% 5.19/5.37 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17049]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3683,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk58_2(X0,X1)))),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5745_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17043,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk58_2(X0,X1)))),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3683]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17044,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk58_2(X1,X0)))),X0))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17043]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3680,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(sk1_esk57_3(X0,X1,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5746_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17037,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(sk1_esk57_3(X0,X1,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3680]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17038,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(sk1_esk57_3(X1,X0,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))
% 5.19/5.37 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17037]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3677,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5747_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17031,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3677]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17032,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | ~ hBOOL(hAPP(X2,sk1_esk77_3(X0,X1,X2)))
% 5.19/5.37 | epred1_3(X2,X1,X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17031]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3675,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5748_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17027,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3675]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17028,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17027]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3670,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5750_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17017,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3670]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17018,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17017]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3668,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5750_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17013,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3668]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17014,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.19/5.37 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.19/5.37 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17013]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3662,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5752_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17001,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3662]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_17002,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_17001]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3658,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5753_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16993,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3658]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16994,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16993]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3655,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5754_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16987,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3655]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16988,plain,
% 5.19/5.37 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16987]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3646,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__semidom(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5757_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16969,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.19/5.37 | ~ class_Rings_Olinordered__semidom(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3646]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16970,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16969]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3641,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5758_4) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16959,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3641]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16960,plain,
% 5.19/5.37 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16959]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3634,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5760_4) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16945,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.37 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3634]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16946,plain,
% 5.19/5.37 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Rings_Oinverse__class_Odivide(X0,X2,X1))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16945]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3631,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5761_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16939,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3631]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16940,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16939]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3625,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5763_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16927,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3625]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16928,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16927]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3622,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5764_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16921,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3622]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16922,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16921]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3613,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk24_2(X1,X0))),hAPP(X1,sk1_esk25_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5767_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16903,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk24_2(X1,X0))),hAPP(X1,sk1_esk25_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3613]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16904,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk24_2(X1,X0))),hAPP(X1,sk1_esk25_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16903]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3610,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk23_2(X1,X0))),hAPP(X1,sk1_esk22_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5768_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16897,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk23_2(X1,X0))),hAPP(X1,sk1_esk22_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3610]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16898,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk23_2(X1,X0))),hAPP(X1,sk1_esk22_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16897]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3607,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0))),hAPP(X1,sk1_esk15_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5769_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16891,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0))),hAPP(X1,sk1_esk15_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3607]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16892,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk14_2(X1,X0))),hAPP(X1,sk1_esk15_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16891]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3604,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk17_2(X1,X0))),hAPP(X1,sk1_esk16_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5770_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16885,plain,
% 5.19/5.37 ( c_SEQ_Omonoseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk17_2(X1,X0))),hAPP(X1,sk1_esk16_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3604]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16886,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk17_2(X1,X0))),hAPP(X1,sk1_esk16_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16885]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3601,plain,
% 5.19/5.37 ( c_SEQ_Oincseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0))),hAPP(X1,sk1_esk11_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5771_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16879,plain,
% 5.19/5.37 ( c_SEQ_Oincseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0))),hAPP(X1,sk1_esk11_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3601]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16880,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk10_2(X1,X0))),hAPP(X1,sk1_esk11_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Oincseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16879]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3598,plain,
% 5.19/5.37 ( c_SEQ_Odecseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk9_2(X1,X0))),hAPP(X1,sk1_esk8_2(X1,X0)))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5772_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16873,plain,
% 5.19/5.37 ( c_SEQ_Odecseq(X0,X1)
% 5.19/5.37 | ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk9_2(X1,X0))),hAPP(X1,sk1_esk8_2(X1,X0)))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3598]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16874,plain,
% 5.19/5.37 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk9_2(X1,X0))),hAPP(X1,sk1_esk8_2(X1,X0))))
% 5.19/5.37 | c_SEQ_Odecseq(X0,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16873]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3592,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.19/5.37 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5774_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16861,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X1,X3))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.19/5.37 | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3592]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16862,plain,
% 5.19/5.37 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),c_RealVector_Onorm__class_Onorm(X0,X3))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.19/5.37 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16861]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3589,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5775_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16855,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3589]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16856,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X0,X1,X2)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | epred1_3(X2,X1,X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16855]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3577,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5779_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16831,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3577]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16832,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16831]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3574,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5780_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16825,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.19/5.37 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3574]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16826,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16825]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3566,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5783_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16809,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3566]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16810,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16809]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3564,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),sk1_esk35_3(X3,X2,X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5783_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16805,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),sk1_esk35_3(X3,X2,X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3564]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16806,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16805]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3562,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5784_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16801,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3562]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16802,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16801]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3560,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0)),sk1_esk35_3(X1,X3,X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5784_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16797,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0)),sk1_esk35_3(X1,X3,X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3560]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16798,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk35_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16797]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3556,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5786_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16789,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3556]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16790,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16789]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3543,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5791_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16763,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3543]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16764,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16763]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3539,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5793_0) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16755,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3539]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16756,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16755]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3538,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5793_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16753,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3538]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16754,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16753]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3536,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),sk1_esk50_3(X3,X2,X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5793_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16749,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)),sk1_esk50_3(X3,X2,X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3536]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16750,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16749]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3535,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5794_0) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16747,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3535]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16748,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16747]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3534,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5794_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16745,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3534]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16746,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16745]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3532,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0)),sk1_esk50_3(X1,X3,X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5794_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16741,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X3,X0)),sk1_esk50_3(X1,X3,X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3532]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16742,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),sk1_esk50_3(X2,X0,X3))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3,X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16741]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3508,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5800_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16693,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3508]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16694,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16693]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3504,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5801_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16685,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3504]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16686,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16685]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3502,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5802_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16681,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3502]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16682,plain,
% 5.19/5.37 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16681]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3495,plain,
% 5.19/5.37 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.19/5.37 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.19/5.37 | X1 = X3
% 5.19/5.37 | X2 = X4 ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5804_0) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16667,plain,
% 5.19/5.37 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.19/5.37 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.19/5.37 | X1 = X3
% 5.19/5.37 | X2 = X4 ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3495]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16668,plain,
% 5.19/5.37 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.19/5.37 | X1 = X3
% 5.19/5.37 | X2 = X4 ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16667]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3492,plain,
% 5.19/5.37 ( X0 = X1
% 5.19/5.37 | X2 = X3
% 5.19/5.37 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1)) != c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X0)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5804_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16661,plain,
% 5.19/5.37 ( X0 = X1
% 5.19/5.37 | X2 = X3
% 5.19/5.37 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4)
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1)) != c_Groups_Oplus__class_Oplus(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X0)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3492]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16662,plain,
% 5.19/5.37 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) != c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.19/5.37 | X2 = X4
% 5.19/5.37 | X1 = X3 ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16661]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3489,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5805_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16655,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3489]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16656,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16655]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3486,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5806_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16649,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3486]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16650,plain,
% 5.19/5.37 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16649]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3480,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5808_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16637,plain,
% 5.19/5.37 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3480]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16638,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X2))))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.19/5.37 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16637]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3477,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5809_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16631,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3477]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16632,plain,
% 5.19/5.37 ( ~ hBOOL(hAPP(X0,sk1_esk77_3(X1,X2,X0)))
% 5.19/5.37 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X1,X2,X0)))
% 5.19/5.37 | epred1_3(X0,X2,X1) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16631]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3474,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5810_2) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16625,plain,
% 5.19/5.37 ( epred1_3(X0,X1,X2)
% 5.19/5.37 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3474]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16626,plain,
% 5.19/5.37 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X0,X1,X2)))
% 5.19/5.37 | epred1_3(X2,X1,X0)
% 5.19/5.37 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X0,X1,X2)),sk1_esk80_3(X0,X1,X2)) = X0 ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16625]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3454,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5819_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16585,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 5.19/5.37 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3454]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16586,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16585]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3452,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5821_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16581,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3452]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16582,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16581]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3450,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5821_3) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16577,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3450]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16578,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16577]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3448,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.37 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5821_5) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16573,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.37 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3448]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16574,plain,
% 5.19/5.37 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.37 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16573]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3446,plain,
% 5.19/5.37 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.19/5.37 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5822_1) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16569,plain,
% 5.19/5.37 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.19/5.37 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.19/5.37 inference(copy,[status(esa)],[c_3446]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_16570,plain,
% 5.19/5.37 ( ~ class_Rings_Ocomm__ring__1(X0)
% 5.19/5.37 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X2)) ),
% 5.19/5.37 inference(rewriting,[status(thm)],[c_16569]) ).
% 5.19/5.37
% 5.19/5.37 cnf(c_3437,plain,
% 5.19/5.37 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.37 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.37 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.37 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.37 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5824_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16551,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.19/5.38 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3437]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16552,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16551]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3431,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5825_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16539,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3431]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16540,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X4)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16539]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3430,plain,
% 5.19/5.38 ( ~ c_SEQ_Omonoseq(X0,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5)),hAPP(X1,X4))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5826_0) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16537,plain,
% 5.19/5.38 ( ~ c_SEQ_Omonoseq(X0,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X5)),hAPP(X1,X4))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3430]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16538,plain,
% 5.19/5.38 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1)),hAPP(X5,X2)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4)),hAPP(X5,X3)))
% 5.19/5.38 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16537]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3427,plain,
% 5.19/5.38 ( ~ c_SEQ_Omonoseq(X0,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X4)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5826_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16531,plain,
% 5.19/5.38 ( ~ c_SEQ_Omonoseq(X0,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5),X4)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3427]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16532,plain,
% 5.19/5.38 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X4)),hAPP(X5,X3)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X1)),hAPP(X5,X2)))
% 5.19/5.38 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16531]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3425,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 5.19/5.38 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5826_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16527,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X4)),hAPP(X1,X5)))
% 5.19/5.38 | ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4),X5))
% 5.19/5.38 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3425]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16528,plain,
% 5.19/5.38 ( ~ class_Orderings_Oorder(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X2)),hAPP(X5,X1)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X5,X3)),hAPP(X5,X4)))
% 5.19/5.38 | ~ c_SEQ_Omonoseq(X0,X5) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16527]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3422,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5827_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16521,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3422]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16522,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X0,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X2,sk1_esk79_3(X0,X1,X2)))
% 5.19/5.38 | epred1_3(X2,X1,X0) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16521]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3408,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5833_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16493,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3408]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16494,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16493]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3401,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5836_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16479,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3401]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16480,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X0,X1,X2),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | epred1_3(X2,X1,X0) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16479]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3395,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.19/5.38 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.19/5.38 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5837_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16467,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.19/5.38 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.19/5.38 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3395]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16468,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.19/5.38 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16467]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3394,plain,
% 5.19/5.38 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.19/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5837_6) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16465,plain,
% 5.19/5.38 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.19/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3394]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16466,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1) = X3
% 5.19/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.19/5.38 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),X0) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16465]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3389,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,X1))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
% 5.19/5.38 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X2) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5838_4) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16455,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,X1))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X2)))
% 5.19/5.38 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X2) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3389]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16456,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X3,X1)))
% 5.19/5.38 | hBOOL(hAPP(X2,X4))
% 5.19/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | X3 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4),X0) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16455]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3386,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5839_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16449,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3386]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16450,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16449]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3383,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk43_2(X1,X0)))))
% 5.19/5.38 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5840_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16443,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk43_2(X1,X0)))))
% 5.19/5.38 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3383]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16444,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk43_2(X1,X0)))))
% 5.19/5.38 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16443]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3380,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1 ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5841_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16437,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1 ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3380]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16438,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16437]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3378,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5842_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16433,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3378]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16434,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16433]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3372,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5843_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16421,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3372]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16422,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16421]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3370,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5843_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16417,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3370]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16418,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16417]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3368,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5844_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16413,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3368]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16414,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16413]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3367,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5844_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16411,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3367]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16412,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16411]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3363,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5845_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16403,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3363]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16404,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16403]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3359,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5846_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16395,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3359]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16396,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16395]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3355,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5847_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16387,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3355]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16388,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16387]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3351,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5848_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16379,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3351]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16380,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16379]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3347,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5849_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16371,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3347]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16372,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16371]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3342,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.38 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5850_4) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16361,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.38 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3342]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16362,plain,
% 5.19/5.38 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16361]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3337,plain,
% 5.19/5.38 ( c_RComplete_Onatfloor(X0) = X1
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5852_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16351,plain,
% 5.19/5.38 ( c_RComplete_Onatfloor(X0) = X1
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3337]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16352,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0))
% 5.19/5.38 | c_RComplete_Onatfloor(X0) = X1 ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16351]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3334,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5853_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16345,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3334]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16346,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X0,X1,X2),X1)
% 5.19/5.38 | epred1_3(X2,X1,X0)
% 5.19/5.38 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X0,X1,X2)),sk1_esk80_3(X0,X1,X2)) = X0 ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16345]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3328,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5855_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16333,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3328]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16334,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16333]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3325,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk71_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5856_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16327,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk71_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3325]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16328,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk71_3(X2,X1,X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16327]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3322,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk70_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5857_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16321,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk70_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3322]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16322,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk70_3(X2,X1,X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16321]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3319,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5858_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16315,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3319]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16316,plain,
% 5.19/5.38 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16315]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3317,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5859_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16311,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X3),X4) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3317]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16312,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16311]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3312,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk71_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5860_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16301,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk71_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3312]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16302,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.19/5.38 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(X2,sk1_esk71_3(X1,X0,X2))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16301]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3309,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk70_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5861_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16295,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk70_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3309]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16296,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.19/5.38 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 5.19/5.38 | ~ hBOOL(hAPP(X2,sk1_esk70_3(X1,X0,X2))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16295]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3303,plain,
% 5.19/5.38 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5864_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16283,plain,
% 5.19/5.38 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3303]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16284,plain,
% 5.19/5.38 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16283]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3294,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5866_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16265,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3294]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16266,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),X2))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16265]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3291,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5867_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16259,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3291]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16260,plain,
% 5.19/5.38 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16259]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3285,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,X1))
% 5.19/5.38 | ~ epred1_3(X0,X2,X3)
% 5.19/5.38 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5868_5) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16247,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,X1))
% 5.19/5.38 | ~ epred1_3(X0,X2,X3)
% 5.19/5.38 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X2)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3285]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16248,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.19/5.38 | hBOOL(hAPP(X2,X3))
% 5.19/5.38 | ~ epred1_3(X2,X0,X4)
% 5.19/5.38 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16247]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3282,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | hBOOL(hAPP(X0,sk1_esk57_3(X1,X2,X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5869_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16241,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | hBOOL(hAPP(X0,sk1_esk57_3(X1,X2,X0)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3282]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16242,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16241]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3279,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5870_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16235,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3279]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16236,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16235]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3278,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5870_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16233,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3278]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16234,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16233]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3276,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5871_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16229,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3276]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16230,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16229]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3271,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5872_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16219,plain,
% 5.19/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3271]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16220,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16219]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3270,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5872_3) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16217,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3270]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16218,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16217]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3266,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5874_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16209,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3266]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16210,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16209]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3255,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5876_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16187,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3255]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16188,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.19/5.38 | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | hBOOL(hAPP(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16187]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3252,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5877_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16181,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3252]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16182,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16181]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3226,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5884_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16129,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3226]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16130,plain,
% 5.19/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16129]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3215,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5888_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16107,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X3)
% 5.19/5.38 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X3,X1)),X2) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3215]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16108,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X1) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16107]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3212,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.19/5.38 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5889_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16101,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.19/5.38 | ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3212]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16102,plain,
% 5.19/5.38 ( ~ class_Rings_Olinordered__idom(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)),X3)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16101]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3210,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5890_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16097,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X3),X4) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3210]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16098,plain,
% 5.19/5.38 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.19/5.38 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16097]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3205,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5891_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16087,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3205]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16088,plain,
% 5.19/5.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(X0,sk1_esk72_3(X2,X1,X0)))
% 5.19/5.38 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16087]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3195,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5895_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16067,plain,
% 5.19/5.38 ( epred1_3(X0,X1,X2)
% 5.19/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3195]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16068,plain,
% 5.19/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X1,X0,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.19/5.38 | epred1_3(X2,X0,X1) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16067]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3192,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5896_2) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16061,plain,
% 5.19/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.19/5.38 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1))) ),
% 5.19/5.38 inference(copy,[status(esa)],[c_3192]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16062,plain,
% 5.19/5.38 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.19/5.38 inference(rewriting,[status(thm)],[c_16061]) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_3184,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.19/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5900_1) ).
% 5.19/5.38
% 5.19/5.38 cnf(c_16045,plain,
% 5.19/5.38 ( ~ class_Rings_Oordered__ring(X0)
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.19/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.19/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3184]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16046,plain,
% 5.21/5.38 ( ~ class_Rings_Oordered__ring(X0)
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16045]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3179,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5901_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16035,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3179]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16036,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16035]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3178,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5901_3) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16033,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3178]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16034,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16033]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3176,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5902_1) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16029,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3176]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16030,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16029]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3171,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.38 | X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5903_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16019,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.38 | X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3171]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16020,plain,
% 5.21/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),X2))
% 5.21/5.38 | X1 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16019]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3166,plain,
% 5.21/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.38 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5904_4) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16009,plain,
% 5.21/5.38 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.38 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3166]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16010,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16009]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3164,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5905_1) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16005,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3164]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16006,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16005]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3162,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5906_1) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16001,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3162]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_16002,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_16001]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3147,plain,
% 5.21/5.38 ( epred1_3(X0,X1,X2)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.38 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5911_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15971,plain,
% 5.21/5.38 ( epred1_3(X0,X1,X2)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.38 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3147]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15972,plain,
% 5.21/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X0,X1,X2),X1)
% 5.21/5.38 | ~ hBOOL(hAPP(X2,sk1_esk79_3(X0,X1,X2)))
% 5.21/5.38 | epred1_3(X2,X1,X0) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15971]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3144,plain,
% 5.21/5.38 ( epred1_3(X0,X1,X2)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0))
% 5.21/5.38 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5912_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15965,plain,
% 5.21/5.38 ( epred1_3(X0,X1,X2)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0))
% 5.21/5.38 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3144]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15966,plain,
% 5.21/5.38 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk80_3(X1,X0,X2))
% 5.21/5.38 | ~ hBOOL(hAPP(X2,sk1_esk77_3(X1,X0,X2)))
% 5.21/5.38 | epred1_3(X2,X0,X1) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15965]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3141,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | X1 = X3
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5913_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15959,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | X1 = X3
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3141]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15960,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)
% 5.21/5.38 | X2 = X3 ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15959]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3138,plain,
% 5.21/5.38 ( X0 = X1
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X0))
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 5.21/5.38 | ~ class_Rings_Olinordered__semidom(X3) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5913_5) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15953,plain,
% 5.21/5.38 ( X0 = X1
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3)),X0))
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X2)
% 5.21/5.38 | ~ class_Rings_Olinordered__semidom(X3) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3138]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15954,plain,
% 5.21/5.38 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.21/5.38 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1)
% 5.21/5.38 | X3 = X2 ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15953]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3132,plain,
% 5.21/5.38 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.21/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.38 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5914_5) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15941,plain,
% 5.21/5.38 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.21/5.38 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.38 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X3))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3132]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15942,plain,
% 5.21/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.38 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.21/5.38 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.38 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15941]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3123,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.21/5.38 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5917_2) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15923,plain,
% 5.21/5.38 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.21/5.38 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3123]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15924,plain,
% 5.21/5.38 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.38 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15923]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3122,plain,
% 5.21/5.38 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.38 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5917_3) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15921,plain,
% 5.21/5.38 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.38 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3122]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15922,plain,
% 5.21/5.38 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.38 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15921]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3120,plain,
% 5.21/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5918_1) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15917,plain,
% 5.21/5.38 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3120]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15918,plain,
% 5.21/5.38 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.21/5.38 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.38 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15917]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3112,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 5.21/5.38 | ~ class_Orderings_Oorder(X0)
% 5.21/5.38 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 5.21/5.38 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5920_3) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15901,plain,
% 5.21/5.38 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 5.21/5.38 | ~ class_Orderings_Oorder(X0)
% 5.21/5.38 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 5.21/5.38 inference(copy,[status(esa)],[c_3112]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_15902,plain,
% 5.21/5.38 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,c_Nat_OSuc(X2))),hAPP(X1,X2)))
% 5.21/5.38 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X3)),hAPP(X1,c_Nat_OSuc(X3))))
% 5.21/5.38 | ~ c_SEQ_Omonoseq(X0,X1) ),
% 5.21/5.38 inference(rewriting,[status(thm)],[c_15901]) ).
% 5.21/5.38
% 5.21/5.38 cnf(c_3106,plain,
% 5.21/5.38 ( epred1_3(X0,X1,X2)
% 5.21/5.38 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.38 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5922_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15889,plain,
% 5.21/5.39 ( epred1_3(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3106]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15890,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | epred1_3(X1,X0,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk79_3(X2,X0,X1)),sk1_esk80_3(X2,X0,X1)) = X2 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15889]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3101,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5924_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15879,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3101]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15880,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15879]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3098,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5925_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15873,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3098]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15874,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15873]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3095,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5926_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15867,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3095]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15868,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15867]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3086,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5928_4) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15849,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3086]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15850,plain,
% 5.21/5.39 ( ~ class_Fields_Olinordered__field__inverse__zero(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X1))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15849]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3084,plain,
% 5.21/5.39 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5929_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15845,plain,
% 5.21/5.39 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3084]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15846,plain,
% 5.21/5.39 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15845]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3080,plain,
% 5.21/5.39 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5930_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15837,plain,
% 5.21/5.39 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X3),X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3080]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15838,plain,
% 5.21/5.39 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15837]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3075,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5931_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15827,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3075]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15828,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15827]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3071,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5932_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15819,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3071]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15820,plain,
% 5.21/5.39 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15819]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3067,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5933_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15811,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3067]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15812,plain,
% 5.21/5.39 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15811]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3061,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 5.21/5.39 | ~ class_Orderings_Oord(X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5935_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15799,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 5.21/5.39 | ~ class_Orderings_Oord(X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3061]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15800,plain,
% 5.21/5.39 ( ~ class_Orderings_Oord(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15799]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3060,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 5.21/5.39 | ~ class_Orderings_Oord(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5935_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15797,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X3),X2))
% 5.21/5.39 | ~ class_Orderings_Oord(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3060]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15798,plain,
% 5.21/5.39 ( ~ class_Orderings_Oord(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15797]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3056,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5936_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15789,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3056]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15790,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15789]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3052,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5937_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15781,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3052]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15782,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15781]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3049,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5938_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15775,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3049]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15776,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15775]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3038,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5941_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15753,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3038]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15754,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15753]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3036,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5942_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15749,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3036]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15750,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15749]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3029,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5943_5) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15735,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = X2
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | X0 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X3) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3029]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15736,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.39 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X0) = X3
% 5.21/5.39 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.39 | X2 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15735]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3026,plain,
% 5.21/5.39 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5944_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15729,plain,
% 5.21/5.39 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3026]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15730,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.21/5.39 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15729]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3016,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5948_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15709,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3016]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15710,plain,
% 5.21/5.39 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15709]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3015,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5948_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15707,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.39 | ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3015]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15708,plain,
% 5.21/5.39 ( ~ class_Rings_Oordered__ring__abs(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15707]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3008,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5951_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15693,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3008]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15694,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X0))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15693]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_3002,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5953_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15681,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_3002]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15682,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15681]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2970,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5964_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15617,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2970]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15618,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15617]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2966,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5965_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15609,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2966]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15610,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15609]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2962,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5966_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15601,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2962]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15602,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2)) != X0 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15601]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2942,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5975_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15561,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2942]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15562,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15561]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2938,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5976_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15553,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2938]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15554,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15553]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2934,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5977_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15545,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2934]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15546,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15545]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2930,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5978_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15537,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2930]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15538,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15537]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2921,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X1 != X3 ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5981_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15519,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X1 != X3 ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2921]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15520,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | X1 != X3 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15519]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2918,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X2 != X4 ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5982_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15513,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X2 != X4 ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2918]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15514,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | X2 != X4 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15513]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2916,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | X1 = X3
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5983_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15509,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Nat_OSuc(X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | X1 = X3
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2916]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15510,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3))
% 5.21/5.39 | X1 = X2 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15509]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2913,plain,
% 5.21/5.39 ( X0 = X1
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5983_4) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15503,plain,
% 5.21/5.39 ( X0 = X1
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2913]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15504,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Nat_OSuc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X3))
% 5.21/5.39 | X2 = X1 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15503]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2910,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5985_0) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15497,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2910]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15498,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15497]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2907,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5985_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15491,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2907]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15492,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15491]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2906,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5986_0) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15489,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2906]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15490,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15489]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2903,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5986_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15483,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2903]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15484,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15483]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2900,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5987_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15477,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2900]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15478,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15477]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2881,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5994_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15439,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2881]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15440,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15439]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2878,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X1 != X2
% 5.21/5.39 | X3 = X4
% 5.21/5.39 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != c_Groups_Oplus__class_Oplus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5995_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15433,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | X1 != X2
% 5.21/5.39 | X3 = X4
% 5.21/5.39 | X5 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)) != c_Groups_Oplus__class_Oplus(X0,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X4)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2878]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15434,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != c_Groups_Oplus__class_Oplus(X0,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X1 != X4
% 5.21/5.39 | X3 = X5 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15433]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2876,plain,
% 5.21/5.39 ( X0 = X1
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X3,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != c_Groups_Oplus__class_Oplus(X3,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 5.21/5.39 | X4 != X5
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5995_4) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15429,plain,
% 5.21/5.39 ( X0 = X1
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X3)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X3,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) != c_Groups_Oplus__class_Oplus(X3,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1))
% 5.21/5.39 | X4 != X5
% 5.21/5.39 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2876]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15430,plain,
% 5.21/5.39 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) != c_Groups_Oplus__class_Oplus(X0,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X5))
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X3 = X5
% 5.21/5.39 | X1 != X4 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15429]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2864,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5999_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15405,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2864]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15406,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15405]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2857,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6001_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15391,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2857]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15392,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15391]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2855,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6002_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15387,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2855]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15388,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15387]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2852,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6003_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15381,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2852]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15382,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15381]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2841,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6008_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15359,plain,
% 5.21/5.39 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2841]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15360,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X1)),hAPP(c_Int_Onat,X0)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15359]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2838,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1)))
% 5.21/5.39 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6009_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15353,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1)))
% 5.21/5.39 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2838]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15354,plain,
% 5.21/5.39 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X1)))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15353]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2835,plain,
% 5.21/5.39 ( epred1_3(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6010_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15347,plain,
% 5.21/5.39 ( epred1_3(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2835]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15348,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(X1,sk1_esk79_3(X2,X0,X1)))
% 5.21/5.39 | epred1_3(X1,X0,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15347]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2832,plain,
% 5.21/5.39 ( epred1_3(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6011_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15341,plain,
% 5.21/5.39 ( epred1_3(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2832]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15342,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.39 | ~ hBOOL(hAPP(X1,sk1_esk77_3(X2,X0,X1)))
% 5.21/5.39 | epred1_3(X1,X0,X2) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15341]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2829,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6012_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15335,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2829]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15336,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.39 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X0),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15335]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2817,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6016_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15311,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2817]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15312,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15311]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2814,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6017_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15305,plain,
% 5.21/5.39 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2814]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15306,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15305]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2806,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6019_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15289,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2806]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15290,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15289]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2800,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 5.21/5.39 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6023_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15277,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)))
% 5.21/5.39 | X2 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2800]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15278,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | hBOOL(hAPP(X0,X3))
% 5.21/5.39 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15277]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2796,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6024_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15269,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) != X2
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2796]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15270,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2)) != X0 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15269]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2769,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6038_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15215,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2769]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15216,plain,
% 5.21/5.39 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_RComplete_Onatfloor(X0))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15215]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2753,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk18_2(X1,X0)))
% 5.21/5.39 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6043_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15183,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk18_2(X1,X0)))
% 5.21/5.39 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2753]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15184,plain,
% 5.21/5.39 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk18_2(X1,X0)))
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15183]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2750,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk12_2(X1,X0)))
% 5.21/5.39 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6044_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15177,plain,
% 5.21/5.39 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk12_2(X1,X0)))
% 5.21/5.39 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2750]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15178,plain,
% 5.21/5.39 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.39 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2))),sk1_esk12_2(X1,X0)))
% 5.21/5.39 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15177]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2742,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6049_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15161,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2742]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15162,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X3)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15161]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2739,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6050_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15155,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2739]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15156,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15155]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2735,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6052_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15147,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2735]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15148,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15147]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2721,plain,
% 5.21/5.39 ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6056_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15119,plain,
% 5.21/5.39 ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2721]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15120,plain,
% 5.21/5.39 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1))
% 5.21/5.39 | c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X0) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15119]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2712,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X2,X1,X0),X2)
% 5.21/5.39 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6059_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15101,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X2,X1,X0),X2)
% 5.21/5.39 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2712]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15102,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X0,X1,X2),X0)
% 5.21/5.39 | ~ hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.39 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0))) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15101]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2705,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk71_3(X2,X1,X0)) = X1 ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6062_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15087,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk71_3(X2,X1,X0)) = X1 ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2705]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15088,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.39 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sk1_esk71_3(X1,X0,X2)) = X0 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15087]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2702,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk70_3(X2,X1,X0)) = X1 ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6063_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15081,plain,
% 5.21/5.39 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.21/5.39 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk70_3(X2,X1,X0)) = X1 ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2702]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15082,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.39 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sk1_esk70_3(X1,X0,X2)) = X0 ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15081]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2690,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6067_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15057,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__comm__semiring__strict(X0) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2690]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15058,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__comm__semiring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15057]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2686,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6068_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15049,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2686]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15050,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15049]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2682,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6069_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15041,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2682]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15042,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15041]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2670,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6072_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15017,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2670]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15018,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15017]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2662,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6074_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15001,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.21/5.39 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2662]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_15002,plain,
% 5.21/5.39 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_15001]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2656,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6076_1) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14989,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2656]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14990,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_14989]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2640,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6080_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14957,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2640]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14958,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_14957]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2638,plain,
% 5.21/5.39 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6080_4) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14953,plain,
% 5.21/5.39 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X1,X0,X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2638]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14954,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_14953]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2635,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6081_2) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14947,plain,
% 5.21/5.39 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2635]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14948,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X2,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_14947]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2633,plain,
% 5.21/5.39 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6081_4) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14943,plain,
% 5.21/5.39 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2633]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14944,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.39 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.39 inference(rewriting,[status(thm)],[c_14943]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_2625,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.21/5.39 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6083_3) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14927,plain,
% 5.21/5.39 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.39 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.39 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.39 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.21/5.39 inference(copy,[status(esa)],[c_2625]) ).
% 5.21/5.39
% 5.21/5.39 cnf(c_14928,plain,
% 5.21/5.39 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.39 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14927]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2622,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)))
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6084_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14921,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)))
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2622]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14922,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2))) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14921]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2619,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6085_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14915,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2619]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14916,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14915]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2589,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6098_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14855,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2589]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14856,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14855]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2586,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6099_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14849,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2586]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14850,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14849]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2579,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6101_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14835,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2579]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14836,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14835]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2576,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6102_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14829,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2576]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14830,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14829]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2555,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6111_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14787,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2555]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14788,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14787]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2535,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6118_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14747,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2535]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14748,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14747]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2533,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6119_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14743,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2533]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14744,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14743]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2529,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6120_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14735,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2529]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14736,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,X2,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14735]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2527,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6120_4) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14731,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,X0,X2) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),X2))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2527]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14732,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14731]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2526,plain,
% 5.21/5.40 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6120_5) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14729,plain,
% 5.21/5.40 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2526]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14730,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14729]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2506,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X0,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6128_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14689,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X0,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2506]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14690,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X1,X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14689]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2499,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | X0 = X2
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6131_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14675,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | X0 = X2
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2499]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14676,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 5.21/5.40 | X2 = X1 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14675]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2497,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6131_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14671,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2497]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14672,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 5.21/5.40 | X1 = X2 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14671]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2485,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6136_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14647,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2485]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14648,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14647]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2479,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6138_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14635,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2479]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14636,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14635]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2445,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6152_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14567,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2445]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14568,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14567]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2442,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6153_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14561,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2442]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14562,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14561]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2422,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6159_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14521,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2422]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14522,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14521]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2421,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6159_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14519,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2421]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14520,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14519]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2418,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6160_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14513,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2418]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14514,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14513]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2417,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6160_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14511,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2417]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14512,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X4))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14511]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2405,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.21/5.40 | ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.21/5.40 | ~ c_SEQ_Oincseq(X0,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6165_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14487,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.21/5.40 | ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.21/5.40 | ~ c_SEQ_Oincseq(X0,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2405]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14488,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X1)),hAPP(X3,X2)))
% 5.21/5.40 | ~ c_SEQ_Oincseq(X0,X3) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14487]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2401,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.21/5.40 | ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.21/5.40 | ~ c_SEQ_Odecseq(X0,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6166_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14479,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X1,X3)))
% 5.21/5.40 | ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.21/5.40 | ~ c_SEQ_Odecseq(X0,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2401]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14480,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X3,X2)),hAPP(X3,X1)))
% 5.21/5.40 | ~ c_SEQ_Odecseq(X0,X3) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14479]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2378,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6179_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14433,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2378]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14434,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X0,X1,X2),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X0,X1,X2))
% 5.21/5.40 | epred1_3(X2,X1,X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14433]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2359,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6187_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14395,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2359]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14396,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14395]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2355,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6188_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14387,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2355]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14388,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14387]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2346,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6195_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14369,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2346]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14370,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14369]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2342,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6196_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14361,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2342]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14362,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14361]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2326,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6200_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14329,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2326]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14330,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14329]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2321,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6201_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14319,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2321]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14320,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14319]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2318,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6202_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14313,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2318]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14314,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14313]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2310,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6205_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14297,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2310]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14298,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14297]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2309,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6205_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14295,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2309]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14296,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14295]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2302,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk48_1(X0)))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6208_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14281,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk48_1(X0)))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2302]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14282,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk48_1(X1))))
% 5.21/5.40 | hBOOL(hAPP(X1,X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14281]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2296,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | X0 = sk1_esk66_2(X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6210_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14269,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | X0 = sk1_esk66_2(X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1 ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2296]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14270,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.21/5.40 | X0 = sk1_esk66_2(X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14269]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2295,plain,
% 5.21/5.40 ( X0 = sk1_esk66_2(X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6210_4) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14267,plain,
% 5.21/5.40 ( X0 = sk1_esk66_2(X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X2) != X1
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2295]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14268,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),X2) != X0
% 5.21/5.40 | X1 = sk1_esk66_2(X0,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14267]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2291,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6211_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14259,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2291]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14260,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14259]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2283,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6214_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14243,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2283]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14244,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14243]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2282,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6214_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14241,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2282]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14242,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14241]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2280,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6215_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14237,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2280]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14238,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14237]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2279,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6215_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14235,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2279]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14236,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14235]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2276,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6216_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14229,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2276]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14230,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14229]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2274,plain,
% 5.21/5.40 ( X0 != X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6217_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14225,plain,
% 5.21/5.40 ( X0 != X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2274]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14226,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
% 5.21/5.40 | X2 != X1 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14225]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2272,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | X0 != X2 ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6217_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14221,plain,
% 5.21/5.40 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.21/5.40 | X0 != X2 ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2272]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14222,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)
% 5.21/5.40 | X1 != X2 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14221]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2231,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6231_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14139,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2231]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14140,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14139]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2224,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6234_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14125,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2224]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14126,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1),X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14125]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2218,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6236_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14113,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2218]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14114,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14113]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2211,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6239_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14099,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2211]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14100,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14099]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2206,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6241_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14089,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2206]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14090,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14089]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2203,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6242_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14083,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2203]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14084,plain,
% 5.21/5.40 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14083]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2200,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6243_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14077,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2200]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14078,plain,
% 5.21/5.40 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14077]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2198,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk50_3(X1,X0,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6246_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14073,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk50_3(X1,X0,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2198]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14074,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk50_3(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14073]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2195,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_3(X1,X0,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6247_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14067,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_3(X1,X0,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2195]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14068,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_3(X0,X1,X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14067]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2181,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.40 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6253_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14039,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2)))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.40 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2181]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14040,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),c_Nat_OSuc(X2)))
% 5.21/5.40 | X2 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14039]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2178,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ epred1_3(X0,X2,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6255_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14033,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ epred1_3(X0,X2,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2178]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14034,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.21/5.40 | ~ epred1_3(X0,X2,X1)
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14033]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2166,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6259_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14009,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2166]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14010,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14009]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2163,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6260_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14003,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2163]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14004,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_14003]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2161,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6261_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13999,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2161]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_14000,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13999]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2158,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6262_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13993,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2158]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13994,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13993]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2148,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6266_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13973,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2148]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13974,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13973]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2143,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.21/5.40 | ~ class_Orderings_Oord(X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6268_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13963,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,X1),X2),X3))
% 5.21/5.40 | ~ class_Orderings_Oord(X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_fun(X0,X1),X2,X3) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2143]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13964,plain,
% 5.21/5.40 ( ~ class_Orderings_Oord(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13963]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2137,plain,
% 5.21/5.40 ( hAPP(c_Int_Onat,X0) != hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6270_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13951,plain,
% 5.21/5.40 ( hAPP(c_Int_Onat,X0) != hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2137]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13952,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X1) != hAPP(c_Int_Onat,X0)
% 5.21/5.40 | X1 = X0 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13951]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2135,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) != hAPP(c_Int_Onat,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6270_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13947,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) != hAPP(c_Int_Onat,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2135]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13948,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) != hAPP(c_Int_Onat,X1)
% 5.21/5.40 | X0 = X1 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13947]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2126,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6273_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13929,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2126]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13930,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13929]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2125,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6273_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13927,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2125]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13928,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13927]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2122,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6274_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13921,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2122]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13922,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X3,X4) != c_Groups_Ominus__class_Ominus(X0,X1,X2) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13921]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2121,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6274_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13919,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2121]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13920,plain,
% 5.21/5.40 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X4)
% 5.21/5.40 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13919]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2094,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.21/5.40 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.40 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6292_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13865,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.21/5.40 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.40 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2094]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13866,plain,
% 5.21/5.40 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,X2)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(sk1_esk36_2(X1,X0))))
% 5.21/5.40 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13865]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2088,plain,
% 5.21/5.40 ( X0 != X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) = hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6294_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13853,plain,
% 5.21/5.40 ( X0 != X1
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) = hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2088]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13854,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X1) = hAPP(c_Int_Onat,X0)
% 5.21/5.40 | X1 != X0 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13853]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2086,plain,
% 5.21/5.40 ( hAPP(c_Int_Onat,X0) = hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | X0 != X1 ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6294_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13849,plain,
% 5.21/5.40 ( hAPP(c_Int_Onat,X0) = hAPP(c_Int_Onat,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | X0 != X1 ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2086]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13850,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hAPP(c_Int_Onat,X0) = hAPP(c_Int_Onat,X1)
% 5.21/5.40 | X0 != X1 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13849]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2074,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6299_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13825,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2074]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13826,plain,
% 5.21/5.40 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13825]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2071,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6300_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13819,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2071]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13820,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13819]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2062,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6303_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13801,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2062]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13802,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13801]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2058,plain,
% 5.21/5.40 ( ~ class_Rings_Oidom(X0)
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.21/5.40 | c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6305_1) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13793,plain,
% 5.21/5.40 ( ~ class_Rings_Oidom(X0)
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.21/5.40 | c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2058]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13794,plain,
% 5.21/5.40 ( ~ class_Rings_Oidom(X0)
% 5.21/5.40 | c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.21/5.40 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13793]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2040,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6312_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13757,plain,
% 5.21/5.40 ( X0 != c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)) = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X1)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2040]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13758,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13757]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2039,plain,
% 5.21/5.40 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6312_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13755,plain,
% 5.21/5.40 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2039]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13756,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.21/5.40 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X2 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13755]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2024,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,sk1_esk52_1(X0))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6322_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13725,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,sk1_esk52_1(X0))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2024]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13726,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | hBOOL(hAPP(X1,hAPP(c_Int_Onat,X0)))
% 5.21/5.40 | ~ hBOOL(hAPP(X1,sk1_esk52_1(X1))) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13725]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2021,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Divides_Osemiring__div(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6323_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13719,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | ~ class_Divides_Osemiring__div(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2021]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13720,plain,
% 5.21/5.40 ( ~ class_Divides_Osemiring__div(X0)
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.40 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13719]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2015,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6325_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13707,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2015]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13708,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13707]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2006,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6328_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13689,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2006]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13690,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13689]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2002,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.40 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6329_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13681,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.40 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2002]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13682,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13681]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_2001,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6330_0) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13679,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_2001]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13680,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13679]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1997,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6331_0) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13671,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1997]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13672,plain,
% 5.21/5.40 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13671]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1982,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6336_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13641,plain,
% 5.21/5.40 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1982]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13642,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13641]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1981,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6336_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13639,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.40 | ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1981]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13640,plain,
% 5.21/5.40 ( ~ class_Orderings_Opreorder(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13639]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1972,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6340_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13621,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1972]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13622,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk80_3(X1,X0,X2))
% 5.21/5.40 | epred1_3(X2,X0,X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13621]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1969,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6341_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13615,plain,
% 5.21/5.40 ( epred1_3(X0,X1,X2)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X2,X1,X0),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1969]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13616,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,sk1_esk78_3(X0,X1,X2),X1)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | epred1_3(X2,X1,X0) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13615]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1966,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6342_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13609,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1966]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13610,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13609]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1963,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6343_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13603,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1963]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13604,plain,
% 5.21/5.40 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13603]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1960,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6344_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13597,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.21/5.40 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1960]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13598,plain,
% 5.21/5.40 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.40 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X1))
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13597]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1956,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6345_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13589,plain,
% 5.21/5.40 ( X0 = X1
% 5.21/5.40 | ~ class_Rings_Olinordered__semidom(X2)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1956]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13590,plain,
% 5.21/5.40 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.40 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.21/5.40 | X2 = X3 ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13589]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1950,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6347_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13577,plain,
% 5.21/5.40 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1950]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13578,plain,
% 5.21/5.40 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.40 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13577]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1914,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk26_2(X1,X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6359_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13505,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk26_2(X1,X0)),X1))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1914]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13506,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk26_2(X0,X1)),X0))
% 5.21/5.40 | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.40 | ~ hBOOL(hAPP(X1,X0)) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13505]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1906,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,sk1_esk56_2(X1,X0))) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6362_2) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13489,plain,
% 5.21/5.40 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.21/5.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | ~ hBOOL(hAPP(X0,sk1_esk56_2(X1,X0))) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1906]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13490,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.40 | hBOOL(hAPP(X1,hAPP(c_Int_Onat,X0)))
% 5.21/5.40 | ~ hBOOL(hAPP(X1,sk1_esk56_2(X0,X1))) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13489]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1902,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6363_3) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13481,plain,
% 5.21/5.40 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 inference(copy,[status(esa)],[c_1902]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_13482,plain,
% 5.21/5.40 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.40 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.40 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.40 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.40 inference(rewriting,[status(thm)],[c_13481]) ).
% 5.21/5.40
% 5.21/5.40 cnf(c_1897,plain,
% 5.21/5.40 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.40 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.40 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.40 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6365_2) ).
% 5.21/5.40
% 5.21/5.41 cnf(c_13471,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.41 | ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1897]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13472,plain,
% 5.21/5.41 ( ~ class_Groups_Oordered__ab__group__add(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13471]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1894,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X0,X1))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6367_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13465,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X0,X1))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1894]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13466,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk66_2(X0,X1))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13465]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1891,plain,
% 5.21/5.41 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6368_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13459,plain,
% 5.21/5.41 ( X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != X1 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1891]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13460,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != X2
% 5.21/5.41 | X1 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13459]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1888,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.41 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6369_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13453,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.41 | X0 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1888]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13454,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = X2
% 5.21/5.41 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13453]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1882,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk26_2(X1,X2))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X0))
% 5.21/5.41 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6373_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13441,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk26_2(X1,X2))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X0))
% 5.21/5.41 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1882]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13442,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk26_2(X1,X2))
% 5.21/5.41 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X0))
% 5.21/5.41 | ~ hBOOL(hAPP(X2,X1)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13441]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1841,plain,
% 5.21/5.41 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6395_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13359,plain,
% 5.21/5.41 ( X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1841]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13360,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13359]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1813,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6409_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13303,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1813]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13304,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13303]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1810,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6410_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13297,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1810]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13298,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13297]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1807,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6411_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13291,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1807]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13292,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13291]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1784,plain,
% 5.21/5.41 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__field(X0)
% 5.21/5.41 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6421_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13245,plain,
% 5.21/5.41 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__field(X0)
% 5.21/5.41 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1784]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13246,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.21/5.41 | ~ class_Fields_Ofield__inverse__zero(X0)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13245]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1764,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6435_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13205,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1764]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13206,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13205]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1746,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6441_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13169,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1746]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13170,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13169]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1733,plain,
% 5.21/5.41 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6447_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13143,plain,
% 5.21/5.41 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1733]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13144,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13143]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1729,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6449_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13135,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1729]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13136,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13135]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1724,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6450_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13125,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1724]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13126,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13125]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1720,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6451_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13117,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1720]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13118,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13117]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1702,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 5.21/5.41 | ~ class_Orderings_Oorder(X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6458_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13081,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 5.21/5.41 | ~ class_Orderings_Oorder(X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1702]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13082,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13081]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1700,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6458_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13077,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1700]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13078,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13077]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1699,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6459_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13075,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1699]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13076,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | X3 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13075]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1695,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6460_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13067,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1695]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13068,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.41 | X3 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13067]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1688,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X3 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.41 | ~ class_Orderings_Oord(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6461_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13053,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X3 != X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.41 | ~ class_Orderings_Oord(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1688]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13054,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.21/5.41 | X3 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13053]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1684,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X3 != X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6462_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13045,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X3 != X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1684]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_13046,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.21/5.41 | X3 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_13045]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1659,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X0)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6473_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12995,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X1),X0)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1659]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12996,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12995]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1649,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6482_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12975,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1649]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12976,plain,
% 5.21/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12975]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1633,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6491_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12943,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1633]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12944,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12943]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1610,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6503_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12897,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1610]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12898,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12897]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1596,plain,
% 5.21/5.41 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6512_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12869,plain,
% 5.21/5.41 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1596]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12870,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12869]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1594,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6512_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12865,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1594]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12866,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12865]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1587,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,X0)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6515_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12851,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,X0)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1587]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12852,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,X0))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12851]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1578,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1))
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6520_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12833,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1))
% 5.21/5.41 | ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1578]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12834,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12833]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1552,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6527_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12781,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1552]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12782,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12781]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1544,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X1 = X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6529_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12765,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X1 = X2
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1544]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12766,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12765]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1540,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X2 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6530_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12757,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X2 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1540]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12758,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X2 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12757]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1535,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | X1 = X0
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6532_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12747,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | X1 = X0
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1535]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12748,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12747]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1534,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6532_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12745,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1534]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12746,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.21/5.41 | X0 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12745]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1501,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | X2 = X3
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X4)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6547_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12679,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | X2 = X3
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X4)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X4,X0,X1) != c_Groups_Ominus__class_Ominus(X4,X2,X3) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1501]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12680,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | X3 = X4 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12679]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1500,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 5.21/5.41 | X3 != X4 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6547_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12677,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X3,X4) != c_Groups_Ominus__class_Ominus(X2,X0,X1)
% 5.21/5.41 | X3 != X4 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1500]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12678,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.41 | X3 = X4
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12677]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1497,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | X2 = X3
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X4)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6548_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12671,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | X2 = X3
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X4)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X4,X2,X3) != c_Groups_Ominus__class_Ominus(X4,X0,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1497]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12672,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.41 | X3 != X4
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12671]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1496,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 5.21/5.41 | X3 != X4 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6548_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12669,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ominus__class_Ominus(X2,X3,X4)
% 5.21/5.41 | X3 != X4 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1496]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12670,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ominus__class_Ominus(X0,X3,X4)
% 5.21/5.41 | X1 = X2
% 5.21/5.41 | X3 != X4 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12669]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1437,plain,
% 5.21/5.41 ( hBOOL(hAPP(X0,X1))
% 5.21/5.41 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X2)))
% 5.21/5.41 | X2 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6570_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12551,plain,
% 5.21/5.41 ( hBOOL(hAPP(X0,X1))
% 5.21/5.41 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X2)))
% 5.21/5.41 | X2 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1437]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12552,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.21/5.41 | hBOOL(hAPP(X0,X2))
% 5.21/5.41 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12551]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1428,plain,
% 5.21/5.41 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != hAPP(c_Int_Onat,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6573_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12533,plain,
% 5.21/5.41 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != hAPP(c_Int_Onat,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1428]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12534,plain,
% 5.21/5.41 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) = X0
% 5.21/5.41 | X1 != hAPP(c_Int_Onat,X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12533]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1420,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6576_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12517,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1420]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12518,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12517]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1416,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,X0))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6578_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12509,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,X0))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1416]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12510,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,X0))
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12509]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1404,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk38_2(X1,X0),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6583_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12485,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk38_2(X1,X0),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1404]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12486,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk38_2(X0,X1),X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0))
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12485]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1395,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6586_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12467,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1395]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12468,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12467]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1389,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6588_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12455,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1389]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12456,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.21/5.41 | X0 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12455]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1383,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6590_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12443,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1383]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12444,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.21/5.41 | X0 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12443]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1374,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6593_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12425,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | X0 = X1
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1374]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12426,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.21/5.41 | X0 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12425]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1349,plain,
% 5.21/5.41 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6603_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12375,plain,
% 5.21/5.41 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1349]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12376,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12375]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1346,plain,
% 5.21/5.41 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6604_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12369,plain,
% 5.21/5.41 ( X0 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1346]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12370,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X1 = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12369]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1337,plain,
% 5.21/5.41 ( epred1_3(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6608_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12351,plain,
% 5.21/5.41 ( epred1_3(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1337]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12352,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.21/5.41 | epred1_3(X1,X0,X2) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12351]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1296,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6635_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12269,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0)
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != X3 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1296]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12270,plain,
% 5.21/5.41 ( ~ class_Rings_Odivision__ring(X0)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != X3
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12269]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1292,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6636_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12261,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) = X3
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | X2 != c_Rings_Oinverse__class_Odivide(X1,X3,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1292]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12262,plain,
% 5.21/5.41 ( ~ class_Rings_Odivision__ring(X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = X3
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12261]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1279,plain,
% 5.21/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6645_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12235,plain,
% 5.21/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1279]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12236,plain,
% 5.21/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12235]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1261,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6650_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12199,plain,
% 5.21/5.41 ( X0 != X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1261]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12200,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12199]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1259,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6650_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12195,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1259]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12196,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12195]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1258,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6651_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12193,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1258]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12194,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | X3 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12193]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1254,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6652_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12185,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1254]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12186,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.41 | X3 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12185]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1247,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X3 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.41 | ~ class_Orderings_Oord(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6653_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12171,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X3 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.41 | ~ class_Orderings_Oord(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1247]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12172,plain,
% 5.21/5.41 ( ~ class_Orderings_Oord(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.21/5.41 | X3 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12171]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1243,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X3 != X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6654_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12163,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X3 != X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | ~ class_Orderings_Oorder(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1243]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12164,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.21/5.41 | X3 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12163]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1218,plain,
% 5.21/5.41 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6663_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12113,plain,
% 5.21/5.41 ( X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1218]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12114,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12113]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1217,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6663_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12111,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1217]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12112,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12111]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1198,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.21/5.41 | c_Nat_OSuc(X0) = X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6670_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12073,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.21/5.41 | c_Nat_OSuc(X0) = X1
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1198]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12074,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Nat_OSuc(X0) = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12073]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1190,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6673_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12057,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1190]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12058,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12057]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1183,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6676_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12043,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1183]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12044,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_12043]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1161,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6684_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11999,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1161]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_12000,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11999]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1117,plain,
% 5.21/5.41 ( c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6707_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11911,plain,
% 5.21/5.41 ( c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1117]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11912,plain,
% 5.21/5.41 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Odegree(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Polynomial_Osynthetic__div(X0,X1,X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11911]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1109,plain,
% 5.21/5.41 ( ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6709_5) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11895,plain,
% 5.21/5.41 ( ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1109]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11896,plain,
% 5.21/5.41 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11895]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1103,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X1)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X1)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X1)
% 5.21/5.41 | ~ class_Power_Opower(X1)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6710_5) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11883,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X1)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X1)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X1)
% 5.21/5.41 | ~ class_Power_Opower(X1)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1103]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11884,plain,
% 5.21/5.41 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11883]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1101,plain,
% 5.21/5.41 ( ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | c_RealDef_Opositive(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6711_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11879,plain,
% 5.21/5.41 ( ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | c_RealDef_Opositive(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1101]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11880,plain,
% 5.21/5.41 ( c_RealDef_Opositive(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11879]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1095,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.21/5.41 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | X1 != X3 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6713_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11867,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.21/5.41 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | X1 != X3 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1095]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11868,plain,
% 5.21/5.41 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.21/5.41 | X1 != X3 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11867]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1092,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.21/5.41 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6714_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11861,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.21/5.41 | ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1092]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11862,plain,
% 5.21/5.41 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.21/5.41 | X2 != X3 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11861]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1091,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.41 | X1 = X2
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6715_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11859,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.41 | X1 = X2
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1091]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11860,plain,
% 5.21/5.41 ( ~ class_Rings_Olinordered__idom(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11859]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1056,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.21/5.41 | X0 != X1 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6726_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11789,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.21/5.41 | X0 != X1 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1056]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11790,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | X0 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11789]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1051,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != hAPP(c_Int_Onat,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6728_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11779,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != hAPP(c_Int_Onat,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1051]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11780,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != hAPP(c_Int_Onat,X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11779]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1048,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | hAPP(c_Int_Onat,X1) != X0 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6729_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11773,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | hAPP(c_Int_Onat,X1) != X0 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1048]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11774,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | hAPP(c_Int_Onat,X0) != X1
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11773]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1037,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk18_2(X0,X1))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.41 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6734_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11751,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk18_2(X0,X1))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.41 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1037]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11752,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk18_2(X1,X0))
% 5.21/5.41 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11751]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1034,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk12_2(X0,X1))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.41 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6735_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11745,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk12_2(X0,X1))
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.21/5.41 | ~ c_SEQ_OBseq(X1,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1034]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11746,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk12_2(X1,X0))
% 5.21/5.41 | ~ c_SEQ_OBseq(X0,X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11745]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1028,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6738_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11733,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1028]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11734,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11733]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1026,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6738_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11729,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1026]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11730,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11729]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1019,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | X1 = X0
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6743_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11715,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | X1 = X0
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1019]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11716,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.21/5.41 | X1 = X0 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11715]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1015,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6745_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11707,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1015]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11708,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.21/5.41 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.21/5.41 | X0 = X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11707]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1011,plain,
% 5.21/5.41 ( ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | c_RealDef_Opositive(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6746_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11699,plain,
% 5.21/5.41 ( ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | c_RealDef_Opositive(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1011]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11700,plain,
% 5.21/5.41 ( c_RealDef_Opositive(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.21/5.41 | ~ c_RealDef_Opositive(X0)
% 5.21/5.41 | ~ c_RealDef_Opositive(X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11699]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1007,plain,
% 5.21/5.41 ( X0 = hAPP(c_Int_Onat,X1)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6747_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11691,plain,
% 5.21/5.41 ( X0 = hAPP(c_Int_Onat,X1)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1007]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11692,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = hAPP(c_Int_Onat,X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11691]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1004,plain,
% 5.21/5.41 ( hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6748_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11685,plain,
% 5.21/5.41 ( hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1004]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11686,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.21/5.41 | hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11685]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_1000,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = X0
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6749_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11677,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = X0
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) != c_Groups_Oone__class_Oone(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_1000]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11678,plain,
% 5.21/5.41 ( ~ class_Rings_Odivision__ring(X0)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) != c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11677]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_991,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6752_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11659,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_991]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11660,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11659]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_988,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6753_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11653,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_988]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11654,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11653]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_986,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6754_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11649,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_986]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11650,plain,
% 5.21/5.41 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11649]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_977,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6757_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11631,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_977]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11632,plain,
% 5.21/5.41 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11631]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_974,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6757_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11625,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X1)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_974]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11626,plain,
% 5.21/5.41 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11625]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_966,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6762_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11609,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Groups_Olinordered__ab__group__add(X1)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X1,X0,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_966]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11610,plain,
% 5.21/5.41 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11609]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_962,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6764_0) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11601,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_962]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11602,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11601]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_960,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6764_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11597,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_960]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11598,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11597]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_957,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6765_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11591,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_957]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11592,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11591]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_954,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Ogroup__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6766_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11585,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Groups_Ogroup__add(X2)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X2,X0,X1) != c_Groups_Ozero__class_Ozero(X2) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_954]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11586,plain,
% 5.21/5.41 ( ~ class_Groups_Ogroup__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11585]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_946,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6772_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11569,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X1,X2,X0) != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_946]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11570,plain,
% 5.21/5.41 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != X1
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11569]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_943,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6773_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11563,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_943]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11564,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X0 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11563]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_940,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6774_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11557,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_940]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11558,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.21/5.41 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11557]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_934,plain,
% 5.21/5.41 ( c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.21/5.41 | ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6776_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11545,plain,
% 5.21/5.41 ( c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.21/5.41 | ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_934]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11546,plain,
% 5.21/5.41 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.21/5.41 | c_Polynomial_Odegree(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Polynomial_Osynthetic__div(X0,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11545]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_921,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6780_6) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11519,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_921]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11520,plain,
% 5.21/5.41 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.21/5.41 | ~ class_Rings_Ozero__neq__one(X0)
% 5.21/5.41 | ~ class_Rings_Omult__zero(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11519]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_912,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6783_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11501,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | X1 != X2
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_912]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11502,plain,
% 5.21/5.41 ( ~ class_Orderings_Olinorder(X0)
% 5.21/5.41 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11501]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_895,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6789_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11467,plain,
% 5.21/5.41 ( X0 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_895]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11468,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11467]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_876,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6799_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11429,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_876]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11430,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11429]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_873,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6800_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11423,plain,
% 5.21/5.41 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_873]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11424,plain,
% 5.21/5.41 ( ~ class_Orderings_Oorder(X0)
% 5.21/5.41 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.21/5.41 | X2 != X1 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11423]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_845,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6817_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11367,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_845]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11368,plain,
% 5.21/5.41 ( ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),c_Nat_OSuc(X1)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11367]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_841,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6818_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11359,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_841]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11360,plain,
% 5.21/5.41 ( ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11359]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_813,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6836_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11303,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_813]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11304,plain,
% 5.21/5.41 ( ~ class_Rings_Osemiring__0(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11303]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_775,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6855_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11227,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_775]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11228,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11227]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_772,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6856_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11221,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X1 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_772]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11222,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11221]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_768,plain,
% 5.21/5.41 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X1)
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6859_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11213,plain,
% 5.21/5.41 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X1)
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_768]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11214,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 5.21/5.41 | c_RealVector_Onorm__class_Onorm(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11213]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_754,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | X2 != X0 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6868_3) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11185,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = c_Groups_Oone__class_Oone(X1)
% 5.21/5.41 | ~ class_Rings_Odivision__ring(X1)
% 5.21/5.41 | X2 != X0 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_754]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11186,plain,
% 5.21/5.41 ( ~ class_Rings_Odivision__ring(X0)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11185]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_751,plain,
% 5.21/5.41 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6869_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11179,plain,
% 5.21/5.41 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_751]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11180,plain,
% 5.21/5.41 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.21/5.41 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11179]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_745,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6871_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11167,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_745]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11168,plain,
% 5.21/5.41 ( ~ class_Groups_Olinordered__ab__group__add(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11167]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_740,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Nat_Osemiring__char__0(X2)
% 5.21/5.41 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6873_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11157,plain,
% 5.21/5.41 ( X0 = X1
% 5.21/5.41 | ~ class_Nat_Osemiring__char__0(X2)
% 5.21/5.41 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_740]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11158,plain,
% 5.21/5.41 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.21/5.41 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)
% 5.21/5.41 | X1 = X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11157]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_725,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6880_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11127,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_725]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11128,plain,
% 5.21/5.41 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11127]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_722,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6881_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11121,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_722]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11122,plain,
% 5.21/5.41 ( ~ class_Rings_Oring__no__zero__divisors(X0)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11121]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_716,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6884_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11109,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_716]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11110,plain,
% 5.21/5.41 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11109]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_707,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.21/5.41 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6887_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11091,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.21/5.41 | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_707]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11092,plain,
% 5.21/5.41 ( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X0)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = X1
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11091]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_689,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6895_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11055,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | ~ class_Power_Opower(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_689]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11056,plain,
% 5.21/5.41 ( ~ class_Power_Opower(X0)
% 5.21/5.41 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) = c_Groups_Oone__class_Oone(X0)
% 5.21/5.41 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11055]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_686,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6896_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11049,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_686]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11050,plain,
% 5.21/5.41 ( ~ class_Groups_Oab__group__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11049]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_683,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Ogroup__add(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6897_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11043,plain,
% 5.21/5.41 ( c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | ~ class_Groups_Ogroup__add(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_683]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11044,plain,
% 5.21/5.41 ( ~ class_Groups_Ogroup__add(X0)
% 5.21/5.41 | c_Groups_Ominus__class_Ominus(X0,X1,X2) = c_Groups_Ozero__class_Ozero(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11043]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_663,plain,
% 5.21/5.41 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6907_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11003,plain,
% 5.21/5.41 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_663]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_11004,plain,
% 5.21/5.41 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_11003]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_650,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6913_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10977,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 5.21/5.41 | X0 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_650]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10978,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10977]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_626,plain,
% 5.21/5.41 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6929_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10929,plain,
% 5.21/5.41 ( X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_626]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10930,plain,
% 5.21/5.41 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10929]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_617,plain,
% 5.21/5.41 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6935_1) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10911,plain,
% 5.21/5.41 ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 5.21/5.41 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_617]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10912,plain,
% 5.21/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.21/5.41 | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1)) = c_RealVector_Onorm__class_Onorm(X0,X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10911]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_596,plain,
% 5.21/5.41 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)
% 5.21/5.41 | ~ class_Nat_Osemiring__char__0(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6960_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10869,plain,
% 5.21/5.41 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)
% 5.21/5.41 | ~ class_Nat_Osemiring__char__0(X0)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(copy,[status(esa)],[c_596]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10870,plain,
% 5.21/5.41 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.21/5.41 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)
% 5.21/5.41 | X1 != X2 ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10869]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_590,plain,
% 5.21/5.41 ( hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6965_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10857,plain,
% 5.21/5.41 ( hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_590]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10858,plain,
% 5.21/5.41 ( hAPP(c_Int_Onat,X0) = X1
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10857]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_587,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.21/5.41 | ~ class_Groups_Ozero(X1)
% 5.21/5.41 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6967_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10851,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 5.21/5.41 | ~ class_Groups_Ozero(X1)
% 5.21/5.41 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_587]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10852,plain,
% 5.21/5.41 ( ~ class_Groups_Ozero(X0)
% 5.21/5.41 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10851]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_569,plain,
% 5.21/5.41 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Groups_Ozero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6974_2) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10815,plain,
% 5.21/5.41 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | ~ class_Groups_Ozero(X0)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(copy,[status(esa)],[c_569]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_10816,plain,
% 5.21/5.41 ( ~ class_Groups_Ozero(X0)
% 5.21/5.41 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.21/5.41 | X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.21/5.41 inference(rewriting,[status(thm)],[c_10815]) ).
% 5.21/5.41
% 5.21/5.41 cnf(c_566,plain,
% 5.21/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.21/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 5.25/5.41 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.25/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6975_2) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10809,plain,
% 5.25/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.25/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X1)
% 5.25/5.41 | c_Groups_Oabs__class_Oabs(X1,X0) != c_Groups_Ozero__class_Ozero(X1) ),
% 5.25/5.41 inference(copy,[status(esa)],[c_566]) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10810,plain,
% 5.25/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.41 | c_Groups_Oabs__class_Oabs(X0,X1) != c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.41 inference(rewriting,[status(thm)],[c_10809]) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_563,plain,
% 5.25/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.25/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.25/5.41 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6976_2) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10803,plain,
% 5.25/5.41 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.25/5.41 | ~ class_RealVector_Oreal__normed__vector(X1)
% 5.25/5.41 | c_RealVector_Onorm__class_Onorm(X1,X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.41 inference(copy,[status(esa)],[c_563]) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10804,plain,
% 5.25/5.41 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.41 | c_RealVector_Onorm__class_Onorm(X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.41 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.41 inference(rewriting,[status(thm)],[c_10803]) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_540,plain,
% 5.25/5.41 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.41 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6989_2) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10757,plain,
% 5.25/5.41 ( c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.41 | ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.41 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.41 inference(copy,[status(esa)],[c_540]) ).
% 5.25/5.41
% 5.25/5.41 cnf(c_10758,plain,
% 5.25/5.41 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | c_Groups_Oabs__class_Oabs(X0,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10757]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_537,plain,
% 5.25/5.42 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6990_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10751,plain,
% 5.25/5.42 ( c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_537]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10752,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | c_RealVector_Onorm__class_Onorm(X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10751]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_522,plain,
% 5.25/5.42 ( X0 = c_Groups_Oone__class_Oone(X1)
% 5.25/5.42 | ~ class_Groups_Oone(X1)
% 5.25/5.42 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7007_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10721,plain,
% 5.25/5.42 ( X0 = c_Groups_Oone__class_Oone(X1)
% 5.25/5.42 | ~ class_Groups_Oone(X1)
% 5.25/5.42 | c_Groups_Oone__class_Oone(X1) != X0 ),
% 5.25/5.42 inference(copy,[status(esa)],[c_522]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10722,plain,
% 5.25/5.42 ( ~ class_Groups_Oone(X0)
% 5.25/5.42 | c_Groups_Oone__class_Oone(X0) != X1
% 5.25/5.42 | X1 = c_Groups_Oone__class_Oone(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10721]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_519,plain,
% 5.25/5.42 ( c_Groups_Oone__class_Oone(X0) = X1
% 5.25/5.42 | ~ class_Groups_Oone(X0)
% 5.25/5.42 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7008_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10715,plain,
% 5.25/5.42 ( c_Groups_Oone__class_Oone(X0) = X1
% 5.25/5.42 | ~ class_Groups_Oone(X0)
% 5.25/5.42 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_519]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10716,plain,
% 5.25/5.42 ( ~ class_Groups_Oone(X0)
% 5.25/5.42 | c_Groups_Oone__class_Oone(X0) = X1
% 5.25/5.42 | X1 != c_Groups_Oone__class_Oone(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10715]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_516,plain,
% 5.25/5.42 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.25/5.42 | ~ class_Groups_Ozero(X1)
% 5.25/5.42 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7009_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10709,plain,
% 5.25/5.42 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.25/5.42 | ~ class_Groups_Ozero(X1)
% 5.25/5.42 | c_Groups_Ozero__class_Ozero(X1) != X0 ),
% 5.25/5.42 inference(copy,[status(esa)],[c_516]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10710,plain,
% 5.25/5.42 ( ~ class_Groups_Ozero(X0)
% 5.25/5.42 | c_Groups_Ozero__class_Ozero(X0) != X1
% 5.25/5.42 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10709]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_513,plain,
% 5.25/5.42 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.25/5.42 | ~ class_Groups_Ozero(X0)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7010_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10703,plain,
% 5.25/5.42 ( c_Groups_Ozero__class_Ozero(X0) = X1
% 5.25/5.42 | ~ class_Groups_Ozero(X0)
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_513]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10704,plain,
% 5.25/5.42 ( ~ class_Groups_Ozero(X0)
% 5.25/5.42 | c_Groups_Ozero__class_Ozero(X0) = X1
% 5.25/5.42 | X1 != c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10703]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_386,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6254_0) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10449,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_386]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10450,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10449]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_296,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6485_0) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10313,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_296]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_10314,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_10313]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4304,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_13) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_5460,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4304]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_5464,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 inference(copy,[status(esa)],[c_5460]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_5477,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 inference(copy,[status(esa)],[c_5464]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_5478,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 inference(copy,[status(esa)],[c_5477]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18279,negated_conjecture,
% 5.25/5.42 ( ~ v_thesis____ ),
% 5.25/5.42 inference(copy,[status(esa)],[c_5478]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4289,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2)),X4)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5561_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18255,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2)),X4)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4289]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18256,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3)),X4))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18255]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4276,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5565_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18229,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4276]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18230,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18229]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4274,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5566_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18225,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4)))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4274]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18226,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3)),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X4))))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18225]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4267,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3),X4,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6))
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5569_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18211,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3),X4,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6))
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4267]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18212,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | c_Polynomial_Opdivmod__rel(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3),X4,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X5),X6))
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X7,X3,X4,X5)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X7,X6) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18211]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4258,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5572_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18193,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4258]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18194,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18193]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4256,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)),X1)
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5573_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18189,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)),X1)
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4256]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18190,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.42 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0)),X2) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18189]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4254,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5574_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18185,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X2)))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4254]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18186,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.42 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X1)),c_Groups_Oone__class_Oone(tc_Int_Oint))),X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18185]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4237,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | X4 = X5
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X6,X5) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5580_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18151,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | X4 = X5
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X6,X5) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4237]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18152,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 5.25/5.42 | X4 = X6 ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18151]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4233,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | X3 = X5
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5581_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18143,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | X3 = X5
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4233]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18144,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X5,X6)
% 5.25/5.42 | X3 = X5 ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18143]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4222,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5584_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18121,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4222]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18122,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18121]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4215,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk19_3(X1,X2,X0)))),X2))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5586_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18107,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk19_3(X1,X2,X0)))),X2))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4215]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18108,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X2,sk1_esk19_3(X2,X1,X0)))),X1))
% 5.25/5.42 | c_SEQ_OBseq(X0,X2) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18107]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4202,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk21_3(X2,X1,X0)))),X2))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5590_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18081,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk21_3(X2,X1,X0)))),X2))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4202]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18082,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(X1,sk1_esk21_3(X2,X1,X0)))),X2))
% 5.25/5.42 | c_SEQ_OBseq(X0,X1) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18081]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4200,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5591_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18077,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4200]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18078,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),c_Groups_Ominus__class_Ominus(X0,X3,X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X2)),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),c_Groups_Ominus__class_Ominus(X0,X3,X4))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18077]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4193,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5593_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18063,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4193]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18064,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))),sk1_esk60_1(X0)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18063]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4179,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X5),X4)),X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X4)
% 5.25/5.42 | ~ class_RealVector_Oreal__field(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5596_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18035,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X5),X4)),X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X4)
% 5.25/5.42 | ~ class_RealVector_Oreal__field(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4179]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18036,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__field(X0)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X2,X3),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X5),X4)),X3)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X5),X3)),X4) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18035]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4167,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2),X4) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5600_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18011,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2),X4) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4167]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18012,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2),X3),X4)
% 5.25/5.42 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18011]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4165,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5602_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18007,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4165]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_18008,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_18007]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4154,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5606_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17985,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3),X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),X4)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4154]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17986,plain,
% 5.25/5.42 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4))
% 5.25/5.42 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17985]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4123,plain,
% 5.25/5.42 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5615_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17923,plain,
% 5.25/5.42 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4123]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17924,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | ~ c_Polynomial_Opdivmod__rel(X0,X1,X2,X3,X4)
% 5.25/5.42 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = X3 ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17923]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4095,plain,
% 5.25/5.42 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5623_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17867,plain,
% 5.25/5.42 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X0)),X1),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X3)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4095]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17868,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X4)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17867]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4093,plain,
% 5.25/5.42 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2),X4)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5624_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17863,plain,
% 5.25/5.42 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X3)),X1),X2),X4)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X0)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4093]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17864,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),X4)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2),X3),X4) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17863]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4091,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5625_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17859,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4091]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17860,plain,
% 5.25/5.42 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17859]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4089,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),X2)))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5626_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17855,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),X2)))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4089]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17856,plain,
% 5.25/5.42 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X0)),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),X2))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17855]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4075,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.25/5.42 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5629_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17827,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.25/5.42 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4075]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17828,plain,
% 5.25/5.42 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17827]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4071,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.25/5.42 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5630_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17819,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3))
% 5.25/5.42 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4071]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17820,plain,
% 5.25/5.42 ( ~ class_Groups_Oab__group__add(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2))),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2)),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1)),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17819]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4028,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Polynomial_Opcompose(X0,X1,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),c_Polynomial_Odegree(X0,X2))))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5640_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17733,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Polynomial_Opcompose(X0,X1,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),c_Polynomial_Odegree(X0,X2))))
% 5.25/5.42 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4028]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17734,plain,
% 5.25/5.42 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Polynomial_Opcompose(X0,X1,X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Polynomial_Odegree(X0,X1)),c_Polynomial_Odegree(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17733]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4026,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk61_2(X1,X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5642_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17729,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk61_2(X1,X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4026]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17730,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X2)),sk1_esk61_2(X1,X0)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17729]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4024,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5643_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17725,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4024]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17726,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),sk1_esk59_2(X2,X0)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17725]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4022,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5644_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17721,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4022]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17722,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17721]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4012,plain,
% 5.25/5.42 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
% 5.25/5.42 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 5.25/5.42 | ~ class_Groups_Ozero(X1) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5646_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17701,plain,
% 5.25/5.42 ( c_Polynomial_Opoly__rec(X0,X1,X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
% 5.25/5.42 | hAPP(hAPP(hAPP(X3,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) != X2
% 5.25/5.42 | ~ class_Groups_Ozero(X1) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4012]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17702,plain,
% 5.25/5.42 ( ~ class_Groups_Ozero(X0)
% 5.25/5.42 | hAPP(hAPP(hAPP(X1,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) != X2
% 5.25/5.42 | c_Polynomial_Opoly__rec(X3,X0,X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X2 ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17701]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4010,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5647_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17697,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4010]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17698,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17697]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4008,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5648_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17693,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4008]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17694,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17693]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4002,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5650_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17681,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4002]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17682,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17681]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_4000,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5651_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17677,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_4000]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17678,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17677]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3997,plain,
% 5.25/5.42 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5652_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17671,plain,
% 5.25/5.42 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3997]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17672,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0))))
% 5.25/5.42 | hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17671]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3996,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5653_0) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17669,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3996]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3995,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5653_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17667,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3995]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3993,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5653_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17663,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3993]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17664,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17663]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3991,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5654_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17659,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3991]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17660,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17659]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3989,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5655_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17655,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3989]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17656,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ominus__class_Ominus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))),c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17655]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3984,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5657_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17645,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3984]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17646,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17645]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3982,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5658_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17641,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3982]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17642,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17641]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3980,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5659_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17637,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2))))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3980]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17638,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2))),c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17637]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3978,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5661_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17633,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3978]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3975,plain,
% 5.25/5.42 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5662_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17627,plain,
% 5.25/5.42 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3975]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17628,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.42 | hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.42 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17627]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3970,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk74_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5664_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17617,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk74_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3970]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17618,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,sk1_esk74_1(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X0)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17617]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3922,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5676_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17521,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3922]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17522,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17521]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3914,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5678_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17505,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)))
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Oone__class_Oone(X2),X3)
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X2) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3914]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17506,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.42 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17505]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3912,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5679_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17501,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3912]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17502,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | c_Polynomial_Opdivmod__rel(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17501]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3902,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5682_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17481,plain,
% 5.25/5.42 ( c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1)
% 5.25/5.42 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3902]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17482,plain,
% 5.25/5.42 ( ~ class_Fields_Ofield(X0)
% 5.25/5.42 | c_Polynomial_Opdivmod__rel(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17481]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3894,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5685_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17465,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3894]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17466,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17465]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3879,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5689_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17435,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3)),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3879]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17436,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17435]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3876,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5690_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17429,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3876]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17430,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17429]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3857,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5694_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17391,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3857]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17392,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17391]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3855,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5695_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17387,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3855]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17388,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17387]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3849,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 5.25/5.42 | ~ class_Rings_Oring(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5697_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17375,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3))
% 5.25/5.42 | ~ class_Rings_Oring(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3849]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17376,plain,
% 5.25/5.42 ( ~ class_Rings_Oring(X0)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X4)),X3)) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X4),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17375]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3847,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))))
% 5.25/5.42 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5698_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17371,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2))))
% 5.25/5.42 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3847]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17372,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__ring(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17371]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3842,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5699_4) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17361,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3842]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17362,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),c_Groups_Oone__class_Oone(X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17361]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3808,plain,
% 5.25/5.42 ( c_SEQ_Oincseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk51_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk51_2(X1,X0)))))
% 5.25/5.42 | ~ class_Orderings_Oorder(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5709_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17293,plain,
% 5.25/5.42 ( c_SEQ_Oincseq(X0,X1)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk51_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk51_2(X1,X0)))))
% 5.25/5.42 | ~ class_Orderings_Oorder(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3808]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17294,plain,
% 5.25/5.42 ( ~ class_Orderings_Oorder(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,sk1_esk51_2(X1,X0))),hAPP(X1,c_Nat_OSuc(sk1_esk51_2(X1,X0)))))
% 5.25/5.42 | c_SEQ_Oincseq(X0,X1) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17293]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3796,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk20_4(X3,X1,X2,X0)))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5713_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17269,plain,
% 5.25/5.42 ( c_SEQ_OBseq(X0,X1)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sk1_esk20_4(X3,X1,X2,X0)))
% 5.25/5.42 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3796]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17270,plain,
% 5.25/5.42 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sk1_esk20_4(X2,X3,X1,X0)))
% 5.25/5.42 | c_SEQ_OBseq(X0,X3) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17269]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3786,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4)
% 5.25/5.42 | ~ class_Rings_Osemiring(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5716_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17249,plain,
% 5.25/5.42 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4)
% 5.25/5.42 | ~ class_Rings_Osemiring(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3786]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17250,plain,
% 5.25/5.42 ( ~ class_Rings_Osemiring(X0)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2),X4)) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2),X4) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17249]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3782,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5717_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17241,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3782]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3777,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5719_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17231,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3777]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17232,plain,
% 5.25/5.42 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17231]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3767,plain,
% 5.25/5.42 ( epred1_3(X0,X1,X2)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5722_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17211,plain,
% 5.25/5.42 ( epred1_3(X0,X1,X2)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X2,X1,X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3767]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17212,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,sk1_esk80_3(X0,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.42 | epred1_3(X2,X1,X0)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X0,X1,X2)),sk1_esk78_3(X0,X1,X2)) = X0 ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17211]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3728,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5732_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17133,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X3))
% 5.25/5.42 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3728]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17134,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X3))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17133]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3724,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5733_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17125,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.42 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3724]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17126,plain,
% 5.25/5.42 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X4)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X4))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17125]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3717,plain,
% 5.25/5.42 ( epred1_3(X0,X1,X2)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5736_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17111,plain,
% 5.25/5.42 ( epred1_3(X0,X1,X2)
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.42 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2 ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3717]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3714,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5737_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17105,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3714]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17106,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17105]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3709,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5738_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17095,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3709]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17096,plain,
% 5.25/5.42 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oone__class_Oone(X0))) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17095]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3703,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.25/5.42 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5739_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17083,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.25/5.42 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3703]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17084,plain,
% 5.25/5.42 ( ~ class_Rings_Oordered__ring(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17083]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3699,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 5.25/5.42 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5740_3) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17075,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 5.25/5.42 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3699]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17076,plain,
% 5.25/5.42 ( ~ class_Rings_Oordered__ring(X0)
% 5.25/5.42 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17075]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3697,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5741_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17071,plain,
% 5.25/5.42 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3697]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3691,plain,
% 5.25/5.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.42 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5743_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17059,plain,
% 5.25/5.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.42 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3691]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17060,plain,
% 5.25/5.42 ( ~ class_Groups_Omonoid__mult(X0)
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.42 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X2),X1)) ),
% 5.25/5.42 inference(rewriting,[status(thm)],[c_17059]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3674,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5748_2) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17025,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3674]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3672,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))) ),
% 5.25/5.42 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5749_1) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_17021,plain,
% 5.25/5.42 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.42 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))) ),
% 5.25/5.42 inference(copy,[status(esa)],[c_3672]) ).
% 5.25/5.42
% 5.25/5.42 cnf(c_3666,plain,
% 5.25/5.42 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5751_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_17009,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3666]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_17010,plain,
% 5.25/5.43 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_17009]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3652,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5755_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16981,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3652]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16982,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | ~ hBOOL(hAPP(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16981]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3650,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5756_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16977,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3650]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16978,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16977]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3639,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.43 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5759_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16955,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.43 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3639]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16956,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__ring(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16955]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3628,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5762_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16933,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3628]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16934,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16933]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3619,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5765_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16915,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | ~ hBOOL(hAPP(X0,sk1_esk79_3(X2,X1,X0))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3619]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16916,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(X0,sk1_esk79_3(X1,X2,X0)))
% 5.25/5.43 | epred1_3(X0,X2,X1)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk77_3(X1,X2,X0)),sk1_esk78_3(X1,X2,X0)) = X1 ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16915]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3616,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2
% 5.25/5.43 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5766_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16909,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk79_3(X2,X1,X0)),sk1_esk80_3(X2,X1,X0)) = X2
% 5.25/5.43 | ~ hBOOL(hAPP(X0,sk1_esk77_3(X2,X1,X0))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3616]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16910,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(X0,sk1_esk77_3(X1,X2,X0)))
% 5.25/5.43 | epred1_3(X0,X2,X1)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),sk1_esk79_3(X1,X2,X0)),sk1_esk80_3(X1,X2,X0)) = X1 ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16909]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3596,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5773_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16869,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3596]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3587,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5776_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16851,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3587]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3583,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5777_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16843,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3583]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16844,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oone__class_Oone(X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16843]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3580,plain,
% 5.25/5.43 ( c_RComplete_Onatceiling(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5778_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16837,plain,
% 5.25/5.43 ( c_RComplete_Onatceiling(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3580]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16838,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
% 5.25/5.43 | c_RComplete_Onatceiling(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16837]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3571,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5781_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16819,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3571]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16820,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X3,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16819]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3568,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5782_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16813,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__ab__semigroup__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3568]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16814,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__ab__semigroup__add(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16813]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3558,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5785_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16793,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3558]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16794,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16793]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3555,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5786_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16787,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X3))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3555]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3549,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5789_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16775,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3549]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16776,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16775]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3547,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5790_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16771,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3547]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16772,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),X2))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16771]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3540,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.25/5.43 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5792_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16757,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)
% 5.25/5.43 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3540]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16758,plain,
% 5.25/5.43 ( ~ class_Groups_Omonoid__mult(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X2) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16757]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3516,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5798_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16709,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3516]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16710,plain,
% 5.25/5.43 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16709]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3512,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5799_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16701,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3512]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16702,plain,
% 5.25/5.43 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16701]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3500,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5802_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16677,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3500]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16678,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16677]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3472,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5811_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16621,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3472]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3470,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5812_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16617,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3470]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3468,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5813_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16613,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3468]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3466,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5814_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16609,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3466]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3464,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5815_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16605,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3464]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3462,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5816_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16601,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3462]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3460,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5817_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16597,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3460]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3458,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5818_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16593,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3458]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3443,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1
% 5.25/5.43 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5823_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16563,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1
% 5.25/5.43 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3443]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16564,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.43 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),sk1_esk72_3(X2,X1,X0)),sk1_esk73_3(X2,X1,X0)) = X1 ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16563]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3416,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5830_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16509,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3416]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3414,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5831_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16505,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3414]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3411,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sk1_esk2_0,X0)),sk1_esk3_0)),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X1)),X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5832_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16499,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sk1_esk2_0,X0)),sk1_esk3_0)),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X1)),X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3411]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16500,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sk1_esk2_0,X1)),sk1_esk3_0)),X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk4_1(X0)),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16499]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3406,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5834_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16489,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3406]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16490,plain,
% 5.25/5.43 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X4)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16489]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3404,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5835_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16485,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)))
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3404]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16486,plain,
% 5.25/5.43 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16485]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3376,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5842_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16429,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X0))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3376]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16430,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16429]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3349,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5849_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16375,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3349]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16376,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16375]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3340,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5851_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16357,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2)
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3340]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16358,plain,
% 5.25/5.43 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X3)),X2) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16357]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3331,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5854_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16339,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3331]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16340,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk80_3(X1,X0,X2))
% 5.25/5.43 | epred1_3(X2,X0,X1)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk77_3(X1,X0,X2)),sk1_esk78_3(X1,X0,X2)) = X1 ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16339]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3315,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 5.25/5.43 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5859_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16307,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3)
% 5.25/5.43 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3315]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16308,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),X3) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16307]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3307,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5862_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16291,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3307]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16292,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16291]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3305,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5863_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16287,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3305]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16288,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16287]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3301,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5864_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16279,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3301]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16280,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oplus__class_Oplus(X0,X1,X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16279]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3297,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5865_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16271,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3297]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16272,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16271]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3274,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5871_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16225,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | ~ class_Rings_Oordered__cancel__semiring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3274]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16226,plain,
% 5.25/5.43 ( ~ class_Rings_Oordered__cancel__semiring(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16225]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3268,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5873_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16213,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3268]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16214,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16213]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3264,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.25/5.43 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5874_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16205,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.25/5.43 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3264]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16206,plain,
% 5.25/5.43 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16205]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3258,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,X1))
% 5.25/5.43 | ~ epred1_3(X0,X2,X3)
% 5.25/5.43 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5875_5) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16193,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,X1))
% 5.25/5.43 | ~ epred1_3(X0,X2,X3)
% 5.25/5.43 | X3 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1),X4)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3258]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16194,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.43 | hBOOL(hAPP(X2,X3))
% 5.25/5.43 | ~ epred1_3(X2,X0,X4)
% 5.25/5.43 | X4 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X3),X1) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16193]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3249,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5878_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16175,plain,
% 5.25/5.43 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3249]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16176,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.43 | hBOOL(hAPP(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16175]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3245,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5879_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16167,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3245]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16168,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16167]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3241,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5880_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16159,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3241]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16160,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semiring(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16159]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3237,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5881_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16151,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3237]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16152,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16151]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3233,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5882_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16143,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semiring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3233]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16144,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semiring(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16143]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3229,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5883_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16135,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3))
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3229]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16136,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2))
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16135]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3223,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5885_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16123,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3223]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16124,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16123]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3220,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5886_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16117,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3220]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16118,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16117]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3218,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5887_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16113,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3218]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3208,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.25/5.43 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5890_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16093,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3)
% 5.25/5.43 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3208]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16094,plain,
% 5.25/5.43 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3),X4))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X2),X4)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),X3) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16093]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3203,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5892_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16083,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.43 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3203]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16084,plain,
% 5.25/5.43 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16083]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3201,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.43 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5893_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16079,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.43 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3201]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16080,plain,
% 5.25/5.43 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16079]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3198,plain,
% 5.25/5.43 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.43 | hBOOL(hAPP(X1,sk1_esk57_3(X0,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5894_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16073,plain,
% 5.25/5.43 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.43 | hBOOL(hAPP(X1,sk1_esk57_3(X0,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X0))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3198]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16074,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.43 | hBOOL(hAPP(X0,sk1_esk57_3(X2,X1,X0)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16073]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3190,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5897_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16057,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3190]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3182,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5900_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16041,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ class_Rings_Oordered__ring(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3182]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16042,plain,
% 5.25/5.43 ( ~ class_Rings_Oordered__ring(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_16041]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3174,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5902_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_16025,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3174]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3158,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5907_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15993,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X3))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3158]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15994,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oplus__class_Oplus(X0,X3,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15993]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3154,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5908_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15985,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.43 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3154]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15986,plain,
% 5.25/5.43 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15985]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3150,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5910_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15977,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3150]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15978,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15977]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3129,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5915_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15935,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3129]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15936,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15935]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3126,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5916_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15929,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3126]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15930,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15929]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3116,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0))
% 5.25/5.43 | ~ class_Rings_Oring__1(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5919_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15909,plain,
% 5.25/5.43 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0))
% 5.25/5.43 | ~ class_Rings_Oring__1(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3116]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15910,plain,
% 5.25/5.43 ( ~ class_Rings_Oring__1(X0)
% 5.25/5.43 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Oone__class_Oone(X0))) = c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Oone__class_Oone(X0)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15909]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3109,plain,
% 5.25/5.43 ( c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5921_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15895,plain,
% 5.25/5.43 ( c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3109]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15896,plain,
% 5.25/5.43 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15895]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3103,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5923_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15883,plain,
% 5.25/5.43 ( epred1_3(X0,X1,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),sk1_esk77_3(X2,X1,X0)),sk1_esk78_3(X2,X1,X0)) = X2
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3103]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15884,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.43 | epred1_3(X1,X0,X2)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),sk1_esk77_3(X2,X0,X1)),sk1_esk78_3(X2,X0,X1)) = X2 ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15883]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3100,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5924_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15877,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3100]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3097,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5925_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15871,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3097]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3094,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5926_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15865,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3094]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3091,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(X0,X1,X2)),c_Polynomial_Odegree(X0,X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.25/5.43 | ~ class_Rings_Oidom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5927_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15859,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(X0,X1,X2)),c_Polynomial_Odegree(X0,X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.25/5.43 | ~ class_Rings_Oidom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3091]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15860,plain,
% 5.25/5.43 ( ~ class_Rings_Oidom(X0)
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(X0,X1,X2)),c_Polynomial_Odegree(X0,X2)))
% 5.25/5.43 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15859]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3082,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.25/5.43 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5929_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15841,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.25/5.43 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3082]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15842,plain,
% 5.25/5.43 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15841]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3078,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.25/5.43 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5930_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15833,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3)
% 5.25/5.43 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3078]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15834,plain,
% 5.25/5.43 ( ~ class_Groups_Oab__group__add(X0)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,X2)),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),X3)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),X3) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15833]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3064,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5934_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15805,plain,
% 5.25/5.43 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.43 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3064]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15806,plain,
% 5.25/5.43 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.43 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.43 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15805]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3046,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5939_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15769,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3046]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3035,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5942_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15747,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3035]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3027,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5944_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15731,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3027]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15732,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.25/5.43 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15731]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3024,plain,
% 5.25/5.43 ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5945_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15725,plain,
% 5.25/5.43 ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3024]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15726,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1))
% 5.25/5.43 | c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X1),X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15725]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3022,plain,
% 5.25/5.43 ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5946_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15721,plain,
% 5.25/5.43 ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3022]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15722,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1))
% 5.25/5.43 | c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X1),X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15721]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3019,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5947_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15715,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1))) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3019]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15716,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15715]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3013,plain,
% 5.25/5.43 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5949_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15703,plain,
% 5.25/5.43 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3013]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15704,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Nat_OSuc(X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0))) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15703]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3011,plain,
% 5.25/5.43 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5950_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15699,plain,
% 5.25/5.43 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3011]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15700,plain,
% 5.25/5.43 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.43 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15699]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3004,plain,
% 5.25/5.43 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.43 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5952_3) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15685,plain,
% 5.25/5.43 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))
% 5.25/5.43 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X2))
% 5.25/5.43 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3004]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15686,plain,
% 5.25/5.43 ( ~ class_Fields_Ofield(X0)
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.43 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.25/5.43 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15685]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_3001,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5953_2) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15679,plain,
% 5.25/5.43 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.43 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_3001]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_2999,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.25/5.43 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.43 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5955_1) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15675,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.25/5.43 | ~ class_Groups_Oab__group__add(X0) ),
% 5.25/5.43 inference(copy,[status(esa)],[c_2999]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_15676,plain,
% 5.25/5.43 ( ~ class_Groups_Oab__group__add(X0)
% 5.25/5.43 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),c_Groups_Ominus__class_Ominus(X0,X3,X4)) = c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4)) ),
% 5.25/5.43 inference(rewriting,[status(thm)],[c_15675]) ).
% 5.25/5.43
% 5.25/5.43 cnf(c_2997,plain,
% 5.25/5.43 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5956_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15671,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2997]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15672,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X4)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15671]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2992,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5957_4) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15661,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2992]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15662,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X3)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,c_Groups_Oone__class_Oone(X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15661]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2989,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Divides_Osemiring__div(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5958_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15655,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Divides_Osemiring__div(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2989]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15656,plain,
% 5.25/5.44 ( ~ class_Divides_Osemiring__div(X0)
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X2) = c_Groups_Oplus__class_Oplus(X0,X3,c_Divides_Odiv__class_Odiv(X0,X1,X2))
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15655]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2986,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Divides_Osemiring__div(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5959_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15649,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Divides_Osemiring__div(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2986]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15650,plain,
% 5.25/5.44 ( ~ class_Divides_Osemiring__div(X0)
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)),X3) = c_Groups_Oplus__class_Oplus(X0,X2,c_Divides_Odiv__class_Odiv(X0,X1,X3))
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15649]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2977,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X3,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1),X3))
% 5.25/5.44 | ~ class_Orderings_Oord(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5962_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15631,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X1,X2)),hAPP(X3,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X0),X1),X3))
% 5.25/5.44 | ~ class_Orderings_Oord(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2977]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15632,plain,
% 5.25/5.44 ( ~ class_Orderings_Oord(X0)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X2),X3))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,hAPP(X2,X4)),hAPP(X3,X4))) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15631]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2974,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5963_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15625,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0)
% 5.25/5.44 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2974]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15626,plain,
% 5.25/5.44 ( ~ class_Fields_Ofield(X0)
% 5.25/5.44 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.25/5.44 | X3 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15625]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2960,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5967_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15597,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2960]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15598,plain,
% 5.25/5.44 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.25/5.44 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,X1,X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15597]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2956,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5969_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15589,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2956]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15590,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15589]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2952,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5971_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15581,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2952]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15582,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15581]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2950,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5972_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15577,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2950]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15578,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15577]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2946,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5974_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15569,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2946]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15570,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ominus__class_Ominus(X0,X1,X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15569]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2911,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)))
% 5.25/5.44 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5984_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15499,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)))
% 5.25/5.44 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2911]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15500,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2))) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15499]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2898,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5988_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15473,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2898]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15474,plain,
% 5.25/5.44 ( ~ class_Groups_Omonoid__mult(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15473]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2896,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5989_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15469,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2896]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15470,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15469]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2889,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5991_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15455,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2889]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15456,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15455]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2887,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5992_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15451,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2887]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2884,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5993_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15445,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,sk1_esk80_3(X2,X1,X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2884]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15446,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,sk1_esk80_3(X1,X0,X2))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X1,X0,X2)))
% 5.25/5.44 | epred1_3(X2,X0,X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15445]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2870,plain,
% 5.25/5.44 ( c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5997_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15417,plain,
% 5.25/5.44 ( c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2870]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15418,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.25/5.44 | c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15417]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2861,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6000_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15399,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2861]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15400,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15399]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2848,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6005_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15373,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2848]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2846,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6006_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15369,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2846]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15370,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15369]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2844,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6007_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15365,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2844]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15366,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15365]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2842,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6008_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15361,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2842]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15362,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15361]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2823,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6014_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15323,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2823]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15324,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | ~ hBOOL(hAPP(X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15323]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2818,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6016_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15313,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2818]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15314,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15313]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2815,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6017_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15307,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2815]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15308,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15307]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2810,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.44 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6018_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15297,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.44 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2810]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15298,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15297]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2789,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6031_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15255,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2789]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15256,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15255]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2786,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6032_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15249,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2786]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15250,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15249]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2777,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6035_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15231,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2777]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15232,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15231]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2774,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.25/5.44 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6036_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15225,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X3,X1),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.25/5.44 | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2774]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15226,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15225]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2772,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6037_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15221,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2772]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15222,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15221]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2766,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6039_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15209,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2766]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15210,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) = hAPP(c_Int_Onat,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15209]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2763,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6040_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15203,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2763]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2760,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6041_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15197,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2760]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15198,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15197]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2748,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6045_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15173,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2748]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2745,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6047_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15167,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2745]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15168,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15167]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2737,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6051_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15151,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2737]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15152,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15151]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2731,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)
% 5.25/5.44 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6053_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15139,plain,
% 5.25/5.44 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2)
% 5.25/5.44 | ~ class_Fields_Ofield__inverse__zero(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2731]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15140,plain,
% 5.25/5.44 ( ~ class_Fields_Ofield__inverse__zero(X0)
% 5.25/5.44 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oone__class_Oone(X0),X1)),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15139]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2718,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk71_3(X2,X1,X0)) = X1
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6057_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15113,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk71_3(X2,X1,X0)) = X1
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2718]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15114,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk71_3(X2,X1,X0)) = X1 ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15113]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2715,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk70_3(X2,X1,X0)) = X1
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6058_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15107,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk70_3(X2,X1,X0)) = X1
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2715]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15108,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | hBOOL(hAPP(X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,sk1_esk70_3(X2,X1,X0)) = X1 ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15107]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2710,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6060_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15097,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2710]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15098,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15097]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2708,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6061_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15093,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1)
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2708]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15094,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oone__class_Oone(X0))),X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15093]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2666,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.25/5.44 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6073_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15009,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.25/5.44 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2666]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_15010,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_15009]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2658,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6075_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14993,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2658]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14994,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14993]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2654,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.44 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6076_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14985,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.44 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2654]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14986,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X4))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,X4)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14985]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2651,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6077_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14979,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2651]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14980,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14979]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2643,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6079_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14963,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.25/5.44 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2643]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14964,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X3)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14963]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2629,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6082_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14935,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2629]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14936,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14935]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2616,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.44 | ~ class_Power_Opower(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6086_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14909,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.44 | ~ class_Power_Opower(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2616]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14910,plain,
% 5.25/5.44 ( ~ class_Power_Opower(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14909]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2614,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6087_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14905,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2614]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14906,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14905]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2612,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_Rings_Odivision__ring(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6088_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14901,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_Rings_Odivision__ring(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2612]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14902,plain,
% 5.25/5.44 ( ~ class_Rings_Odivision__ring(X0)
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ominus__class_Ominus(X0,X1,X3),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14901]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2610,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_Rings_Odivision__ring(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6089_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14897,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_Rings_Odivision__ring(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2610]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14898,plain,
% 5.25/5.44 ( ~ class_Rings_Odivision__ring(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14897]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2608,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6090_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14893,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2608]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14894,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),c_Rings_Oinverse__class_Odivide(X0,X3,X2)) = c_Rings_Oinverse__class_Odivide(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14893]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2604,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6092_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14885,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2604]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14886,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14885]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2600,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6094_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14877,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2600]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14878,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),X0) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14877]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2598,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6095_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14873,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2598]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14874,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14873]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2591,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6097_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14859,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2591]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14860,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.44 | epred1_3(X0,X2,X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14859]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2588,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6098_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14853,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2588]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2585,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6099_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14847,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2585]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2582,plain,
% 5.25/5.44 ( ~ class_Orderings_Oord(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6100_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14841,plain,
% 5.25/5.44 ( ~ class_Orderings_Oord(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_fun(X1,X0),X2,X3)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X0),X3),X2)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2582]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2572,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6104_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14821,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2572]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14822,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14821]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2570,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6105_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14817,plain,
% 5.25/5.44 ( c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2570]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14818,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14817]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2566,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6107_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14809,plain,
% 5.25/5.44 ( c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3))
% 5.25/5.44 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2566]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14810,plain,
% 5.25/5.44 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ominus__class_Ominus(X0,X2,X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14809]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2564,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6108_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14805,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2564]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2562,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6109_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14801,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2562]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2558,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6110_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14793,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2558]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14794,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14793]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2554,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6112_0) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14785,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2554]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2551,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6112_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14779,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2551]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14780,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14779]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2550,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6113_0) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14777,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2550]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2547,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6113_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14771,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1))
% 5.25/5.44 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2547]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14772,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14771]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2545,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6115_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14767,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2545]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14768,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14767]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2543,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6116_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14763,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2543]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14764,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14763]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2539,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6117_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14755,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0)))
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2539]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14756,plain,
% 5.25/5.44 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14755]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2532,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6119_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14741,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X0,X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2532]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2522,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6122_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14721,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2522]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14722,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14721]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2520,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6123_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14717,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2520]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14718,plain,
% 5.25/5.44 ( ~ class_Groups_Omonoid__mult(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14717]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2518,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.44 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6124_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14713,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3))
% 5.25/5.44 | ~ class_Groups_Oab__semigroup__mult(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2518]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14714,plain,
% 5.25/5.44 ( ~ class_Groups_Oab__semigroup__mult(X0)
% 5.25/5.44 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14713]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2515,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6125_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14707,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2515]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14708,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14707]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2512,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6126_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14701,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | X2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2512]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2509,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.44 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6127_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14695,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.44 | X2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2509]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2507,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6128_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14691,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X0,X1))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2507]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14692,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1))
% 5.25/5.44 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(X0,X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14691]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2503,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6129_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14683,plain,
% 5.25/5.44 ( epred1_3(X0,X1,X2)
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X2,X1,X0)))
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2503]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14684,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk78_3(X1,X0,X2)))
% 5.25/5.44 | epred1_3(X2,X0,X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14683]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2501,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6130_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14679,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2501]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14680,plain,
% 5.25/5.44 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),X1))
% 5.25/5.44 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_RComplete_Onatfloor(X1))) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14679]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2495,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6132_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14667,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2495]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2493,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6133_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14663,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.25/5.44 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2493]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14664,plain,
% 5.25/5.44 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.44 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14663]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2491,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6134_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14659,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))
% 5.25/5.44 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2491]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14660,plain,
% 5.25/5.44 ( ~ class_Groups_Omonoid__mult(X0)
% 5.25/5.44 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14659]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2482,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6137_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14641,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2482]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14642,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14641]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2467,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6142_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14611,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2467]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14612,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14611]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2470,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6141_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14617,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2470]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14618,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14617]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2465,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)
% 5.25/5.44 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6143_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14607,plain,
% 5.25/5.44 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1)
% 5.25/5.44 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2465]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2463,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6144_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14603,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2463]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2461,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6145_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14599,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2461]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14600,plain,
% 5.25/5.44 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14599]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2455,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6148_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14587,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2455]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2453,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6149_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14583,plain,
% 5.25/5.44 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2453]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2450,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X2,X1,X0),X2) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6150_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14577,plain,
% 5.25/5.44 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)))
% 5.25/5.44 | X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X2,X1,X0),X2) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2450]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14578,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk73_3(X0,X1,X2),X0)
% 5.25/5.44 | hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X0)))
% 5.25/5.44 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14577]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2448,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3)
% 5.25/5.44 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6151_1) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14573,plain,
% 5.25/5.44 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3)
% 5.25/5.44 | ~ class_Fields_Ofield(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2448]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14574,plain,
% 5.25/5.44 ( ~ class_Fields_Ofield(X0)
% 5.25/5.44 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X2),X3)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2),X3) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14573]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2439,plain,
% 5.25/5.44 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6154_2) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14555,plain,
% 5.25/5.44 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
% 5.25/5.44 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.25/5.44 inference(copy,[status(esa)],[c_2439]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14556,plain,
% 5.25/5.44 ( ~ class_Rings_Olinordered__idom(X0)
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.25/5.44 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X2)),X1) ),
% 5.25/5.44 inference(rewriting,[status(thm)],[c_14555]) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_2427,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.44 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.44 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.44 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.44 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6157_3) ).
% 5.25/5.44
% 5.25/5.44 cnf(c_14531,plain,
% 5.25/5.44 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2427]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14532,plain,
% 5.25/5.45 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14531]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2425,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0))),X0))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6158_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14527,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0))),X0))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2425]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14528,plain,
% 5.25/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0))),X0)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14527]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2415,plain,
% 5.25/5.45 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6161_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14507,plain,
% 5.25/5.45 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2415]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14508,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.25/5.45 | c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X0)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X0) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14507]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2411,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6163_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14499,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2411]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14500,plain,
% 5.25/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.25/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14499]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2409,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6164_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14495,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2409]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2399,plain,
% 5.25/5.45 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)
% 5.25/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6167_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14475,plain,
% 5.25/5.45 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)
% 5.25/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2399]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2396,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.45 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6168_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14469,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.45 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X1)),X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2396]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14470,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))
% 5.25/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.25/5.45 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14469]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2393,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 5.25/5.45 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6173_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14463,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 5.25/5.45 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2393]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14464,plain,
% 5.25/5.45 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oabs__class_Oabs(X0,X1)),X2))
% 5.25/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14463]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2390,plain,
% 5.25/5.45 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.45 | ~ epred1_3(X0,X2,X1)
% 5.25/5.45 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6174_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14457,plain,
% 5.25/5.45 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.45 | ~ epred1_3(X0,X2,X1)
% 5.25/5.45 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2390]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14458,plain,
% 5.25/5.45 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.25/5.45 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)))
% 5.25/5.45 | ~ epred1_3(X0,X2,X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14457]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2387,plain,
% 5.25/5.45 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.45 | ~ class_Rings_Oring__1(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6175_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14451,plain,
% 5.25/5.45 ( c_Groups_Ominus__class_Ominus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.25/5.45 | ~ class_Rings_Oring__1(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2387]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14452,plain,
% 5.25/5.45 ( ~ class_Rings_Oring__1(X0)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.25/5.45 | c_Groups_Ominus__class_Ominus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14451]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2385,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6176_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14447,plain,
% 5.25/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2385]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14448,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.25/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14447]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2383,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6177_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14443,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2383]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2381,plain,
% 5.25/5.45 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1)
% 5.25/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6178_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14439,plain,
% 5.25/5.45 ( c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1)
% 5.25/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2381]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14440,plain,
% 5.25/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.25/5.45 | c_Groups_Oplus__class_Oplus(X0,X1,X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))),X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14439]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2376,plain,
% 5.25/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6180_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14429,plain,
% 5.25/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2376]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14430,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.45 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14429]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2372,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6181_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14421,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2372]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14422,plain,
% 5.25/5.45 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)),c_Groups_Oone__class_Oone(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oone__class_Oone(X0)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14421]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2370,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6182_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14417,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2370]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14418,plain,
% 5.25/5.45 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14417]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2368,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6183_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14413,plain,
% 5.25/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2368]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14414,plain,
% 5.25/5.45 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.25/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14413]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2366,plain,
% 5.25/5.45 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6184_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14409,plain,
% 5.25/5.45 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2366]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14410,plain,
% 5.25/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.45 | c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14409]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2364,plain,
% 5.25/5.45 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6185_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14405,plain,
% 5.25/5.45 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2364]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14406,plain,
% 5.25/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.25/5.45 | c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14405]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2361,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6186_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14399,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.25/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2361]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2357,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6187_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14391,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2357]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14392,plain,
% 5.25/5.45 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14391]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2353,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6188_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14383,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | ~ class_Groups_Oordered__comm__monoid__add(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2353]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14384,plain,
% 5.25/5.45 ( ~ class_Groups_Oordered__comm__monoid__add(X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14383]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2351,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6189_1) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14379,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2351]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2350,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6190_0) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14377,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2350]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2348,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6190_2) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14373,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2348]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14374,plain,
% 5.25/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14373]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2344,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6195_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14365,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.25/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2344]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14366,plain,
% 5.25/5.45 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X2)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14365]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2340,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6196_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14357,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ class_Rings_Olinordered__ring__strict(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2340]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14358,plain,
% 5.25/5.45 ( ~ class_Rings_Olinordered__ring__strict(X0)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14357]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2332,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6198_3) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14341,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.25/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.45 inference(copy,[status(esa)],[c_2332]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_14342,plain,
% 5.25/5.45 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.25/5.45 inference(rewriting,[status(thm)],[c_14341]) ).
% 5.25/5.45
% 5.25/5.45 cnf(c_2328,plain,
% 5.25/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.25/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.25/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.25/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6199_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14333,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2328]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14334,plain,
% 5.30/5.45 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Ozero__class_Ozero(X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14333]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2324,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6200_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14325,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.45 | ~ class_Rings_Olinordered__semiring__strict(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2324]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14326,plain,
% 5.30/5.45 ( ~ class_Rings_Olinordered__semiring__strict(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14325]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2315,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6203_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14307,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2315]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14308,plain,
% 5.30/5.45 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X3,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14307]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2312,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.30/5.45 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6204_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14301,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.30/5.45 | ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2312]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14302,plain,
% 5.30/5.45 ( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14301]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2307,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6206_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14291,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2307]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14292,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14291]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2305,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6207_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14287,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2305]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14288,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14287]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2300,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6209_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14277,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2300]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14278,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14277]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2289,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6212_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14255,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2289]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14256,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14255]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2285,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.30/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6213_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14247,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X2)
% 5.30/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2285]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14248,plain,
% 5.30/5.45 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14247]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2271,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6218_0) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14219,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2271]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2270,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6218_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14217,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2270]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2268,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6218_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14213,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2268]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14214,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14213]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2267,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6219_0) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14211,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2267]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2266,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6219_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14209,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2266]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2264,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6219_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14205,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2264]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14206,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14205]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2259,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6221_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14195,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2259]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2257,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6222_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14191,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2257]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2255,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6223_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14187,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X2) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2255]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2252,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6224_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14181,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2252]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14182,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14181]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2245,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6226_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14167,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2245]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14168,plain,
% 5.30/5.45 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.45 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14167]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2242,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6227_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14161,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2242]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14162,plain,
% 5.30/5.45 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.45 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X1) = c_Groups_Oplus__class_Oplus(X0,c_Divides_Odiv__class_Odiv(X0,X2,X1),c_Groups_Oone__class_Oone(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14161]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2240,plain,
% 5.30/5.45 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))
% 5.30/5.45 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6228_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14157,plain,
% 5.30/5.45 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))
% 5.30/5.45 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2240]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14158,plain,
% 5.30/5.45 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.45 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Oabs__class_Oabs(X0,X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14157]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2234,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6230_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14145,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2234]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14146,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14145]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2229,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6232_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14135,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2229]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14136,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14135]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2227,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6233_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14131,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2227]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14132,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.30/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14131]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2221,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6235_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14119,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2221]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14120,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1),X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14119]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2219,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6236_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14115,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2219]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14116,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14115]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2214,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),X1) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6238_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14105,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),X1) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2214]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14106,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,X0)),X1) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X0),X1)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14105]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2209,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6240_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14095,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2209]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14096,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14095]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2197,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk50_3(X0,X1,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6246_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14071,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk50_3(X0,X1,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2197]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2194,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_3(X0,X1,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6247_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14065,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk35_3(X0,X1,X2))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2194]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2192,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6248_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14061,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ class_Groups_Oab__semigroup__add(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2192]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14062,plain,
% 5.30/5.45 ( ~ class_Groups_Oab__semigroup__add(X0)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14061]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2190,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6249_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14057,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2)
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2190]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14058,plain,
% 5.30/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),X2) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14057]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2186,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6251_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14049,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2186]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14050,plain,
% 5.30/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) = c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14049]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2184,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6252_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14045,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2184]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14046,plain,
% 5.30/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,X2,c_Groups_Oplus__class_Oplus(X0,X1,X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14045]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2172,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6257_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14021,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2172]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14022,plain,
% 5.30/5.45 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.45 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2)) = c_Divides_Odiv__class_Odiv(X0,X1,X3)
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14021]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2169,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6258_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14015,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.45 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2169]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_14016,plain,
% 5.30/5.45 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.45 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) = c_Divides_Odiv__class_Odiv(X0,X2,X3)
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_14015]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2160,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6261_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13997,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2160]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2157,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6262_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13991,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2157]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2155,plain,
% 5.30/5.45 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.30/5.45 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6263_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13987,plain,
% 5.30/5.45 ( c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3))
% 5.30/5.45 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2155]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13988,plain,
% 5.30/5.45 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.45 | c_Rings_Oinverse__class_Odivide(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Rings_Oinverse__class_Odivide(X0,X2,X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13987]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2153,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6264_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13983,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2153]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13984,plain,
% 5.30/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.45 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13983]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2151,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.45 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6265_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13979,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.45 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2151]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13980,plain,
% 5.30/5.45 ( ~ class_Groups_Omonoid__mult(X0)
% 5.30/5.45 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13979]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2146,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6267_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13969,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2146]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13970,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),X1)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13969]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2132,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6271_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13941,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2132]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13942,plain,
% 5.30/5.45 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X2) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13941]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2129,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),c_Polynomial_Odegree(X0,X1))
% 5.30/5.45 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6272_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13935,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,X2)) = c_Polynomial_Odegree(X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X2),c_Polynomial_Odegree(X0,X1))
% 5.30/5.45 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2129]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13936,plain,
% 5.30/5.45 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | c_Polynomial_Odegree(X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X1)) = c_Polynomial_Odegree(X0,X2) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13935]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2115,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)))
% 5.30/5.45 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6276_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13907,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)))
% 5.30/5.45 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2115]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13908,plain,
% 5.30/5.45 ( ~ class_Rings_Olinordered__ring(X0)
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1))) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13907]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2113,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6277_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13903,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3))
% 5.30/5.45 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2113]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13904,plain,
% 5.30/5.45 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.45 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13903]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2112,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6278_0) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13901,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2112]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2111,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6278_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13899,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2111]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2110,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6278_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13897,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2110]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2109,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6279_0) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13895,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2109]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2108,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6279_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13893,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2108]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2107,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6279_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13891,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2107]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2106,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6280_0) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13889,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2106]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2105,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6280_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13887,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2105]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2104,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6280_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13885,plain,
% 5.30/5.45 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X2)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2104]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2102,plain,
% 5.30/5.45 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6281_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13881,plain,
% 5.30/5.45 ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2102]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13882,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.30/5.45 | c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13881]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2100,plain,
% 5.30/5.45 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6282_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13877,plain,
% 5.30/5.45 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2100]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13878,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
% 5.30/5.45 | c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13877]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2097,plain,
% 5.30/5.45 ( X0 = X1
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6291_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13871,plain,
% 5.30/5.45 ( X0 = X1
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2097]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13872,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | X0 = X1 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13871]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2083,plain,
% 5.30/5.45 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk45_1(X0))))
% 5.30/5.45 | ~ hBOOL(hAPP(X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6295_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13843,plain,
% 5.30/5.45 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk45_1(X0))))
% 5.30/5.45 | ~ hBOOL(hAPP(X0,X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2083]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13844,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | hBOOL(hAPP(X1,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk45_1(X1))))
% 5.30/5.45 | ~ hBOOL(hAPP(X1,X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13843]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2081,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6296_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13839,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2081]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2079,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6297_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13835,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2079]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13836,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13835]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2077,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6298_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13831,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2077]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13832,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13831]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2072,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6300_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13821,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X3) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2072]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2068,plain,
% 5.30/5.45 ( hBOOL(hAPP(X0,sk1_esk55_1(X0)))
% 5.30/5.45 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6301_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13813,plain,
% 5.30/5.45 ( hBOOL(hAPP(X0,sk1_esk55_1(X0)))
% 5.30/5.45 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2068]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13814,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | ~ hBOOL(hAPP(X1,hAPP(c_Int_Onat,X0)))
% 5.30/5.45 | hBOOL(hAPP(X1,sk1_esk55_1(X1))) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13813]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2060,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6304_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13797,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2),X1) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2060]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13798,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X2)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13797]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2056,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.45 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6305_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13789,plain,
% 5.30/5.45 ( c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.45 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2056]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13790,plain,
% 5.30/5.45 ( ~ class_Rings_Oidom(X0)
% 5.30/5.45 | c_Polynomial_Odegree(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.45 | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13789]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2053,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6307_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13783,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2053]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13784,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13783]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2047,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6309_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13771,plain,
% 5.30/5.45 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2047]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13772,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13771]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2045,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.30/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6310_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13767,plain,
% 5.30/5.45 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)
% 5.30/5.45 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2045]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2043,plain,
% 5.30/5.45 ( hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)) = c_Nat_OSuc(hAPP(c_Int_Onat,X0))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6311_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13763,plain,
% 5.30/5.45 ( hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)) = c_Nat_OSuc(hAPP(c_Int_Onat,X0))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2043]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13764,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.45 | hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0)) = c_Nat_OSuc(hAPP(c_Int_Onat,X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13763]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2037,plain,
% 5.30/5.45 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6313_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13751,plain,
% 5.30/5.45 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2037]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13752,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13751]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2035,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6314_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13747,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2035]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13748,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13747]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2033,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6315_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13743,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2033]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13744,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1))
% 5.30/5.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13743]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2031,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nat_OSuc(sk1_esk64_2(X1,X0)))) = X1
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6317_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13739,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nat_OSuc(sk1_esk64_2(X1,X0)))) = X1
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2031]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13740,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nat_OSuc(sk1_esk64_2(X1,X0)))) = X1 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13739]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2029,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))
% 5.30/5.45 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6318_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13735,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))
% 5.30/5.45 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2029]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13736,plain,
% 5.30/5.45 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.45 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13735]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2027,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6321_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13731,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2027]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2012,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.30/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6326_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13701,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1)
% 5.30/5.45 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2012]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13702,plain,
% 5.30/5.45 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),X1) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13701]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2010,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6327_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13697,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X1)),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2010]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13698,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13697]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2008,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6328_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13693,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X3)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2008]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_2004,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6329_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13685,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_2004]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1998,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6330_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13673,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.45 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1998]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13674,plain,
% 5.30/5.45 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13673]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1994,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6331_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13665,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.45 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1994]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13666,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2)) ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13665]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1992,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6332_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13661,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X1) = X0
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1992]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13662,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X0) = X1 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13661]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1990,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6333_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13657,plain,
% 5.30/5.45 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1990]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13658,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13657]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1988,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6334_1) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13653,plain,
% 5.30/5.45 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1988]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13654,plain,
% 5.30/5.45 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.45 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X0 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13653]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1985,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk66_2(X0,X1)),X1) = X0
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6335_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13647,plain,
% 5.30/5.45 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk66_2(X0,X1)),X1) = X0
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1985]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13648,plain,
% 5.30/5.45 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)
% 5.30/5.45 | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),sk1_esk66_2(X0,X1)),X1) = X0 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13647]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1975,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6339_2) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13627,plain,
% 5.30/5.45 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)
% 5.30/5.45 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1975]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1934,plain,
% 5.30/5.45 ( X0 = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 5.30/5.45 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6351_3) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13545,plain,
% 5.30/5.45 ( X0 = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X1),X0))
% 5.30/5.45 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.45 inference(copy,[status(esa)],[c_1934]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_13546,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.45 | X1 = X2 ),
% 5.30/5.45 inference(rewriting,[status(thm)],[c_13545]) ).
% 5.30/5.45
% 5.30/5.45 cnf(c_1936,plain,
% 5.30/5.45 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.45 | X2 = X1
% 5.30/5.45 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.45 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6351_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13549,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | X2 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1936]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13550,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.46 | X2 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13549]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1920,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6357_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13517,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X2),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1920]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13518,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13517]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1917,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6358_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13511,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1917]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13512,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13511]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1912,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.46 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6360_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13501,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.46 | ~ class_Rings_Olinordered__ring(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1912]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13502,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__ring(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13501]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1909,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,sk1_esk56_2(X1,X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6361_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13495,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,sk1_esk56_2(X1,X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1909]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13496,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,sk1_esk56_2(X1,X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13495]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1900,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6364_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13477,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1900]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13478,plain,
% 5.30/5.46 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13477]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1886,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6370_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13449,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1886]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13450,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Nat_OSuc(X1)),X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13449]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1884,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk63_2(X1,X0))) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6371_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13445,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk63_2(X1,X0))) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1884]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13446,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk63_2(X1,X0))) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13445]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1880,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,X1))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,sk1_esk26_2(X1,X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6373_3) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13437,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,X1))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,sk1_esk26_2(X1,X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1880]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13438,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,sk1_esk26_2(X1,X2))
% 5.30/5.46 | hBOOL(hAPP(X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X2,X1))
% 5.30/5.46 | ~ hBOOL(hAPP(X2,X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13437]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1878,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6375_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13433,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1878]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13434,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13433]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1876,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6376_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13429,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1876]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13430,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X2)) = c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13429]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1873,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk24_2(X1,X0)),sk1_esk25_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6377_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13423,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk24_2(X1,X0)),sk1_esk25_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1873]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13424,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk24_2(X1,X0)),sk1_esk25_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Omonoseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13423]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1870,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk22_2(X1,X0)),sk1_esk23_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6378_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13417,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk22_2(X1,X0)),sk1_esk23_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1870]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13418,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk22_2(X1,X0)),sk1_esk23_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Omonoseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13417]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1867,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0)),sk1_esk15_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6379_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13411,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0)),sk1_esk15_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1867]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13412,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk14_2(X1,X0)),sk1_esk15_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Omonoseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13411]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1864,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6380_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13405,plain,
% 5.30/5.46 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1864]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13406,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk16_2(X1,X0)),sk1_esk17_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Omonoseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13405]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1861,plain,
% 5.30/5.46 ( c_SEQ_Oincseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk10_2(X1,X0)),sk1_esk11_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6381_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13399,plain,
% 5.30/5.46 ( c_SEQ_Oincseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk10_2(X1,X0)),sk1_esk11_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1861]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13400,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk10_2(X1,X0)),sk1_esk11_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Oincseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13399]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1858,plain,
% 5.30/5.46 ( c_SEQ_Odecseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk8_2(X1,X0)),sk1_esk9_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6382_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13393,plain,
% 5.30/5.46 ( c_SEQ_Odecseq(X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk8_2(X1,X0)),sk1_esk9_2(X1,X0)))
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1858]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13394,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sk1_esk8_2(X1,X0)),sk1_esk9_2(X1,X0)))
% 5.30/5.46 | c_SEQ_Odecseq(X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13393]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1856,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6384_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13389,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1856]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1854,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk46_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6389_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13385,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk46_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1854]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1852,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 5.30/5.46 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6390_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13381,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 5.30/5.46 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1852]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13382,plain,
% 5.30/5.46 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13381]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1850,plain,
% 5.30/5.46 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6391_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13377,plain,
% 5.30/5.46 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1))
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1850]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13378,plain,
% 5.30/5.46 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.30/5.46 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13377]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1848,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6392_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13373,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1848]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1846,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6393_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13369,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1846]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1840,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.46 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6395_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13357,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.46 | X1 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1840]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1838,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6396_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13353,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2))
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1838]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13354,plain,
% 5.30/5.46 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13353]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1836,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6397_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13349,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1836]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1834,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6400_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13345,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1834]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1832,plain,
% 5.30/5.46 ( c_SEQ_Osubseq(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk42_1(X0)),hAPP(X0,c_Nat_OSuc(sk1_esk42_1(X0)))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6401_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13341,plain,
% 5.30/5.46 ( c_SEQ_Osubseq(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk42_1(X0)),hAPP(X0,c_Nat_OSuc(sk1_esk42_1(X0)))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1832]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1830,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),X2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))
% 5.30/5.46 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6402_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13337,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),X2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))
% 5.30/5.46 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1830]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13338,plain,
% 5.30/5.46 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.46 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)),X2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13337]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1827,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6403_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13331,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1827]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13332,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.46 | hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(X1,hAPP(c_Int_Onat,X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13331]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1825,plain,
% 5.30/5.46 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk69_2(X1,X0))) = X1
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6404_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13327,plain,
% 5.30/5.46 ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk69_2(X1,X0))) = X1
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1825]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13328,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk69_2(X1,X0))) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13327]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1823,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6405_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13323,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1823]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1821,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6406_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13319,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1821]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1819,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))
% 5.30/5.46 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6407_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13315,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))
% 5.30/5.46 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1819]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1816,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.46 | ~ class_Fields_Ofield(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6408_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13309,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.46 | ~ class_Fields_Ofield(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1816]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13310,plain,
% 5.30/5.46 ( ~ class_Fields_Ofield(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Polynomial_Odegree(X0,X2))
% 5.30/5.46 | c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X0),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13309]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1814,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6409_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13305,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1814]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13306,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0))
% 5.30/5.46 | X0 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13305]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1811,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6410_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13299,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1811]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13300,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
% 5.30/5.46 | X0 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13299]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1808,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6411_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13293,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1808]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13294,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | X0 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13293]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1805,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))
% 5.30/5.46 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6412_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13287,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))
% 5.30/5.46 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1805]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1803,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6413_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13283,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1803]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1791,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6418_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13259,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1791]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1789,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6419_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13255,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1789]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1787,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6420_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13251,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1787]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1782,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6422_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13241,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1782]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13242,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13241]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1779,plain,
% 5.30/5.46 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6423_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13235,plain,
% 5.30/5.46 ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1779]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13236,plain,
% 5.30/5.46 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.30/5.46 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X0,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2))
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13235]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1775,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6430_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13227,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1775]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1773,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6431_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13223,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1773]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13224,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13223]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1771,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),sk1_esk74_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6432_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13219,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(c_RealDef_Oreal(tc_Nat_Onat),sk1_esk74_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1771]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1769,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6433_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13215,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1769]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13216,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13215]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1767,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6434_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13211,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1767]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1760,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6437_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13197,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1760]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1759,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6438_0) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13195,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1759]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1758,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6438_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13193,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X3) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1758]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1756,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6438_3) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13189,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1756]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13190,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13189]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1755,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6439_0) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13187,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1755]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1754,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6439_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13185,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1754]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1752,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6439_3) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13181,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1752]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13182,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13181]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1750,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6440_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13177,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1750]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13178,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13177]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1744,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6442_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13165,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1744]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13166,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X0) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13165]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1742,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6443_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13161,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1),X1) = X0
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1742]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13162,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0),X0) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13161]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1740,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6444_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13157,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1740]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13158,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X0)),c_RComplete_Onatfloor(X1))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13157]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1738,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6445_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13153,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1738]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13154,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_RComplete_Onatceiling(X1))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13153]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1736,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6446_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13149,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),c_Nat_OSuc(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1736]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1731,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6448_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13139,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2)
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1731]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13140,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oabs__class_Oabs(X0,X1)),X2) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13139]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1728,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6449_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13133,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1728]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1718,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6452_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13113,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | X1 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1718]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1716,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.30/5.46 | ~ c_RealDef_Opositive(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6453_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13109,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.30/5.46 | ~ c_RealDef_Opositive(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1716]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1707,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6456_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13091,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1707]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1704,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.46 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6457_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13085,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.46 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1704]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13086,plain,
% 5.30/5.46 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13085]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1696,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.46 | X1 != X3
% 5.30/5.46 | ~ class_Orderings_Oord(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6459_3) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13069,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.46 | X1 != X3
% 5.30/5.46 | ~ class_Orderings_Oord(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1696]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13070,plain,
% 5.30/5.46 ( ~ class_Orderings_Oord(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.46 | X1 != X3 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13069]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1692,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.46 | X2 != X3
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6460_3) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13061,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.46 | X2 != X3
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1692]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13062,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.46 | X2 != X3 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13061]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1690,plain,
% 5.30/5.46 ( ~ class_Orderings_Oord(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.46 | X2 != X3 ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6461_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13057,plain,
% 5.30/5.46 ( ~ class_Orderings_Oord(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X3))
% 5.30/5.46 | X2 != X3 ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1690]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1686,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.46 | X1 != X3 ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6462_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13049,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X3),X2))
% 5.30/5.46 | X1 != X3 ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1686]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1678,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6464_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13033,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1678]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13034,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13033]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1674,plain,
% 5.30/5.46 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6467_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13025,plain,
% 5.30/5.46 ( c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2)
% 5.30/5.46 | ~ class_RealVector_Oreal__normed__div__algebra(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1674]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13026,plain,
% 5.30/5.46 ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 5.30/5.46 | c_RealVector_Onorm__class_Onorm(X0,hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1)),X2) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13025]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1668,plain,
% 5.30/5.46 ( X0 = c_Nat_OSuc(X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6469_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13013,plain,
% 5.30/5.46 ( X0 = c_Nat_OSuc(X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1668]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13014,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | X0 = c_Nat_OSuc(X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13013]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1664,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.46 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6471_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13005,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.46 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1664]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13006,plain,
% 5.30/5.46 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13005]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1662,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.46 | ~ class_Power_Opower(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6472_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13001,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2))
% 5.30/5.46 | ~ class_Power_Opower(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1662]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_13002,plain,
% 5.30/5.46 ( ~ class_Power_Opower(X0)
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Nat_OSuc(X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_13001]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1657,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6479_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12991,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1657]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1655,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6480_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12987,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.30/5.46 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1655]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1652,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6481_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12981,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1652]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12982,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | X0 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12981]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1647,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6484_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12971,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X1),hAPP(c_Int_Onat,X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1647]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12972,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12971]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1645,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6486_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12967,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X2)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1645]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1639,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6489_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12955,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1639]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1637,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6490_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12951,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)) = X1
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1637]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12952,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)) = X0 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12951]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1631,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Int_Onat,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6492_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12939,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Int_Onat,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1631]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1629,plain,
% 5.30/5.46 ( c_Polynomial_Odegree(X0,c_Polynomial_Osynthetic__div(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.46 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6493_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12935,plain,
% 5.30/5.46 ( c_Polynomial_Odegree(X0,c_Polynomial_Osynthetic__div(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 5.30/5.46 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1629]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12936,plain,
% 5.30/5.46 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.46 | c_Polynomial_Odegree(X0,c_Polynomial_Osynthetic__div(X0,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X0,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12935]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1627,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6494_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12931,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1627]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12932,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,X0),hAPP(c_Int_Onat,X1))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12931]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1623,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6496_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12923,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1623]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1621,plain,
% 5.30/5.46 ( c_SEQ_Osubseq(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk5_1(X0)),hAPP(X0,sk1_esk6_1(X0))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6497_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12919,plain,
% 5.30/5.46 ( c_SEQ_Osubseq(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,sk1_esk5_1(X0)),hAPP(X0,sk1_esk6_1(X0))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1621]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1619,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.46 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nat_OSuc(X2))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6498_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12915,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.46 | X1 != c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nat_OSuc(X2))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1619]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1617,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Int_Onat,X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6500_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12911,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Int_Onat,X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1617]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12912,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,hAPP(c_Int_Onat,X1))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12911]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1613,plain,
% 5.30/5.46 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6502_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12903,plain,
% 5.30/5.46 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1613]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12904,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X0 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12903]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1606,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6506_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12889,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1606]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12890,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12889]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1604,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6507_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12885,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1604]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1602,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk68_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6508_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12881,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk68_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1602]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12882,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk68_2(X1,X0)) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12881]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1600,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk67_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6509_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12877,plain,
% 5.30/5.46 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk67_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1600]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12878,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sk1_esk67_2(X1,X0)) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12877]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1598,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6510_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12873,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1598]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12874,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12873]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1591,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.30/5.46 | ~ c_SEQ_Osubseq(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6513_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12859,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)
% 5.30/5.46 | ~ c_SEQ_Osubseq(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1591]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12860,plain,
% 5.30/5.46 ( ~ c_SEQ_Osubseq(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12859]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1589,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6514_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12855,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1589]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1585,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6516_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12847,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1585]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1583,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6517_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12843,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1583]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12844,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12843]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1581,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk47_1(X0))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6519_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12839,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk47_1(X0))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1581]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12840,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk47_1(X0)))
% 5.30/5.46 | hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12839]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1576,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6521_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12829,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1576]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12830,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Oone__class_Oone(X0)),c_Groups_Ozero__class_Ozero(X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12829]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1538,plain,
% 5.30/5.46 ( c_RealDef_Opositive(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6531_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12753,plain,
% 5.30/5.46 ( c_RealDef_Opositive(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1538]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12754,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.30/5.46 | c_RealDef_Opositive(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12753]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1532,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,sk1_esk46_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6533_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12741,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,sk1_esk46_1(X0)))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1532]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12742,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.30/5.46 | hBOOL(hAPP(X0,sk1_esk46_1(X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12741]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1530,plain,
% 5.30/5.46 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 5.30/5.46 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) != X0 ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6534_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12737,plain,
% 5.30/5.46 ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),X1)
% 5.30/5.46 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) != X0 ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1530]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1526,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6536_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12729,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1526]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12730,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12729]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1523,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.30/5.46 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6537_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12723,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.30/5.46 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1523]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12724,plain,
% 5.30/5.46 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12723]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1521,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6538_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12719,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1)
% 5.30/5.46 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1521]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12720,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oabs__class_Oabs(X0,X1)),c_Groups_Oabs__class_Oabs(X0,X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12719]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1519,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,X1))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,sk1_esk53_1(X0)))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6539_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12715,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,X1))
% 5.30/5.46 | ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,sk1_esk53_1(X0)))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1519]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12716,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(X0,hAPP(c_Int_Onat,sk1_esk53_1(X0))))
% 5.30/5.46 | hBOOL(hAPP(X0,X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12715]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1515,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6541_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12707,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,X0,X1) = c_Nat__Transfer_Otsub(X0,X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1515]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12708,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.46 | c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0) = c_Nat__Transfer_Otsub(X1,X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12707]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1513,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6542_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12703,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X2)),X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1513]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12704,plain,
% 5.30/5.46 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 5.30/5.46 | X1 = X2 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12703]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1504,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6546_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12685,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1504]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12686,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12685]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1493,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | X0 != X1 ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6549_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12663,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
% 5.30/5.46 | X0 != X1 ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1493]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1490,plain,
% 5.30/5.46 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.46 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6550_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12657,plain,
% 5.30/5.46 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.46 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1490]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12658,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.46 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | X1 = hAPP(c_Int_Onat,X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12657]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1487,plain,
% 5.30/5.46 ( hAPP(c_Int_Onat,X0) = X1
% 5.30/5.46 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6551_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12651,plain,
% 5.30/5.46 ( hAPP(c_Int_Onat,X0) = X1
% 5.30/5.46 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1487]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12652,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.46 | hAPP(c_Int_Onat,X0) = X1
% 5.30/5.46 | X0 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12651]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1485,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6552_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12647,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
% 5.30/5.46 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1485]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12648,plain,
% 5.30/5.46 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12647]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1483,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6553_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12643,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1483]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12644,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,X0))
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12643]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1471,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6557_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12619,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X0,X3) != c_Groups_Oplus__class_Oplus(X2,X1,X3) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1471]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12620,plain,
% 5.30/5.46 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X3,X2)
% 5.30/5.46 | X1 = X3 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12619]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1477,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 5.30/5.46 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6555_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12631,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1)
% 5.30/5.46 | ~ class_Groups_Ocancel__ab__semigroup__add(X2) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1477]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12632,plain,
% 5.30/5.46 ( ~ class_Groups_Ocancel__ab__semigroup__add(X0)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.30/5.46 | X2 = X3 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12631]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1468,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6558_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12613,plain,
% 5.30/5.46 ( X0 = X1
% 5.30/5.46 | ~ class_Groups_Ocancel__semigroup__add(X2)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X2,X3,X0) != c_Groups_Oplus__class_Oplus(X2,X3,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1468]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12614,plain,
% 5.30/5.46 ( ~ class_Groups_Ocancel__semigroup__add(X0)
% 5.30/5.46 | c_Groups_Oplus__class_Oplus(X0,X1,X2) != c_Groups_Oplus__class_Oplus(X0,X1,X3)
% 5.30/5.46 | X2 = X3 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12613]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1466,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6559_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12609,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1466]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12610,plain,
% 5.30/5.46 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1)) != c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.30/5.46 | c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12609]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1462,plain,
% 5.30/5.46 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = X0
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6561_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12601,plain,
% 5.30/5.46 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = X0
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1462]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12602,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = X0 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12601]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1459,plain,
% 5.30/5.46 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6562_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12595,plain,
% 5.30/5.46 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1459]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1447,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6566_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12571,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.46 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1447]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12572,plain,
% 5.30/5.46 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12571]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1444,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6567_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12565,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1444]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12566,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X2,X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12565]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1440,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6569_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12557,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1440]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1434,plain,
% 5.30/5.46 ( X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | X1 != hAPP(c_Int_Onat,X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6571_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12545,plain,
% 5.30/5.46 ( X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | X1 != hAPP(c_Int_Onat,X0)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1434]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12546,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.46 | X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | X1 != hAPP(c_Int_Onat,X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12545]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1431,plain,
% 5.30/5.46 ( X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | hAPP(c_Int_Onat,X0) != X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6572_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12539,plain,
% 5.30/5.46 ( X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.46 | hAPP(c_Int_Onat,X0) != X1
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1431]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12540,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.46 | hAPP(c_Int_Onat,X0) != X1
% 5.30/5.46 | X0 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12539]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1425,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6574_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12527,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X1,X0)) = X1
% 5.30/5.46 | ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1425]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12528,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.46 | hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X1,X0)) = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12527]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1423,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6575_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12523,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1423]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12524,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12523]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1421,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6576_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12519,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | X0 = X1
% 5.30/5.46 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1421]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12520,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | X0 = X1 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12519]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1418,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6577_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12513,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1418]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12514,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12513]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1414,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6579_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12505,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1414]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12506,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12505]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1412,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6580_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12501,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1412]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1409,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X1,X0)) = X1
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6581_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12495,plain,
% 5.30/5.46 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,X1)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X1,X0)) = X1
% 5.30/5.46 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1409]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12496,plain,
% 5.30/5.46 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 5.30/5.46 | hBOOL(hAPP(X1,hAPP(c_Int_Onat,X0)))
% 5.30/5.46 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk56_2(X0,X1)) = X0 ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12495]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1407,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6582_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12491,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X1))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1407]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1392,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6587_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12461,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1392]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12462,plain,
% 5.30/5.46 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12461]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1370,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6595_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12417,plain,
% 5.30/5.46 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.46 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1370]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12418,plain,
% 5.30/5.46 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12417]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1364,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.46 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6597_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12405,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.46 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1364]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12406,plain,
% 5.30/5.46 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.46 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12405]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1361,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 5.30/5.46 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6598_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12399,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 5.30/5.46 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1361]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12400,plain,
% 5.30/5.46 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.46 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X1) = X2
% 5.30/5.46 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12399]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1358,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6599_2) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12393,plain,
% 5.30/5.46 ( c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.46 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1358]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12394,plain,
% 5.30/5.46 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.46 | c_Divides_Odiv__class_Odiv(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = X1
% 5.30/5.46 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.46 inference(rewriting,[status(thm)],[c_12393]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_1356,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.46 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6600_1) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12389,plain,
% 5.30/5.46 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.46 inference(copy,[status(esa)],[c_1356]) ).
% 5.30/5.46
% 5.30/5.46 cnf(c_12390,plain,
% 5.30/5.46 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12389]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1354,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6601_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12385,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1354]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12386,plain,
% 5.30/5.47 ( ~ class_Groups_Ogroup__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12385]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1352,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6602_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12381,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1352]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12382,plain,
% 5.30/5.47 ( ~ class_Groups_Ogroup__add(X0)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12381]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1344,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6605_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12365,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1344]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12366,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 5.30/5.47 | X0 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12365]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1342,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6606_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12361,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1342]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12362,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 5.30/5.47 | X1 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12361]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1340,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,X0))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6607_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12357,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,X0))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1340]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1334,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.47 | hBOOL(hAPP(X0,sk1_esk26_2(X1,X0)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6611_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12345,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.47 | hBOOL(hAPP(X0,sk1_esk26_2(X1,X0)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1334]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1332,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6612_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12341,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1332]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1330,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6613_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12337,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1)))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1330]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12338,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12337]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1328,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6615_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12333,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1328]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1326,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6617_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12329,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1326]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12330,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12329]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1324,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,sk1_esk47_1(X0))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6618_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12325,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,sk1_esk47_1(X0))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1324]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1320,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6620_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12317,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | X1 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1320]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1318,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6621_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12313,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1318]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12314,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12313]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1314,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6623_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12305,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1314]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12306,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12305]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1304,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6628_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12285,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1304]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12286,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12285]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1300,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6634_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12277,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1300]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12278,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12277]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1290,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6637_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12257,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1290]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1288,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6641_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12253,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1288]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1286,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6642_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12249,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1286]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1282,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6644_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12241,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1))
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1282]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1263,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | X2 = c_Rings_Oinverse__class_Odivide(X1,X3,X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X1)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != X3 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6649_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12203,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | X2 = c_Rings_Oinverse__class_Odivide(X1,X3,X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X1)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != X3 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1263]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12204,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != X3
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 = c_Rings_Oinverse__class_Odivide(X0,X3,X2) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12203]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1267,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = X3
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X1)
% 5.30/5.47 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6648_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12211,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X1,X2,X0) = X3
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X1)
% 5.30/5.47 | X2 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1267]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12212,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,X1,X2) = X3
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X3),X2) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12211]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1255,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.47 | X1 != X3
% 5.30/5.47 | ~ class_Orderings_Oord(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6651_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12187,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.47 | X1 != X3
% 5.30/5.47 | ~ class_Orderings_Oord(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1255]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12188,plain,
% 5.30/5.47 ( ~ class_Orderings_Oord(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.47 | X1 != X3 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12187]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1251,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.47 | X2 != X3
% 5.30/5.47 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6652_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12179,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.47 | X2 != X3
% 5.30/5.47 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1251]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12180,plain,
% 5.30/5.47 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.47 | X2 != X3 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12179]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1249,plain,
% 5.30/5.47 ( ~ class_Orderings_Oord(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.47 | X2 != X3 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6653_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12175,plain,
% 5.30/5.47 ( ~ class_Orderings_Oord(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X3)
% 5.30/5.47 | X2 != X3 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1249]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1245,plain,
% 5.30/5.47 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.47 | X1 != X3 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6654_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12167,plain,
% 5.30/5.47 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X3,X2)
% 5.30/5.47 | X1 != X3 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1245]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1240,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.30/5.47 | X0 != c_Nat_OSuc(X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6655_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12157,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
% 5.30/5.47 | X0 != c_Nat_OSuc(X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1240]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1238,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sk1_esk49_1(X0))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6656_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12153,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sk1_esk49_1(X0))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1238]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1232,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6658_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12141,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1232]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12142,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X0 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12141]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1229,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6659_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12135,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1229]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12136,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | X1 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12135]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1226,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6660_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12129,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1226]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12130,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12129]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1223,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6661_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12123,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = X2
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1223]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12124,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 = X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12123]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1221,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6662_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12119,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1221]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12120,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0))
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12119]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1213,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6665_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12103,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1213]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1204,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6668_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12085,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1204]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12086,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | X1 = X0 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12085]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1201,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6669_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12079,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1201]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12080,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | X0 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12079]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1196,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk54_1(X0)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6671_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12069,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk54_1(X0)))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1196]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1194,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,sk1_esk54_1(X0))))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6672_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12065,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,hAPP(c_Int_Onat,sk1_esk54_1(X0))))
% 5.30/5.47 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1194]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1188,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6674_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12053,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1)))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1188]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12054,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X0,X1))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12053]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1186,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6675_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12049,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1186]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12050,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X0),X1)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12049]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1179,plain,
% 5.30/5.47 ( hAPP(c_Int_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6678_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12035,plain,
% 5.30/5.47 ( hAPP(c_Int_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1179]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12036,plain,
% 5.30/5.47 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.47 | hAPP(c_Int_Onat,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12035]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1164,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.47 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6683_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12005,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1))
% 5.30/5.47 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1164]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_12006,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X2),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_12005]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1159,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6685_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11995,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1159]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11996,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oabs__class_Oabs(X0,X1),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11995]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1155,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6687_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11987,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1155]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1153,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6688_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11983,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1)))
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1153]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11984,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),c_Groups_Oabs__class_Oabs(X0,X1))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11983]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1151,plain,
% 5.30/5.47 ( c_HOL_Oequal__class_Oequal(tc_RealDef_Oreal,X0,X1)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6689_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11979,plain,
% 5.30/5.47 ( c_HOL_Oequal__class_Oequal(tc_RealDef_Oreal,X0,X1)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1151]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1149,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6690_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11975,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1149]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11976,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11975]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1147,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | ~ c_HOL_Oequal__class_Oequal(tc_RealDef_Oreal,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6691_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11971,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.47 | ~ c_HOL_Oequal__class_Oequal(tc_RealDef_Oreal,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1147]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11972,plain,
% 5.30/5.47 ( ~ c_HOL_Oequal__class_Oequal(tc_RealDef_Oreal,X0,X1)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11971]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1145,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6694_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11967,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1145]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11968,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X0,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11967]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1143,plain,
% 5.30/5.47 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6695_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11963,plain,
% 5.30/5.47 ( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1143]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11964,plain,
% 5.30/5.47 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.30/5.47 | c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11963]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1141,plain,
% 5.30/5.47 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6696_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11959,plain,
% 5.30/5.47 ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1141]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11960,plain,
% 5.30/5.47 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
% 5.30/5.47 | c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11959]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1139,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(X1,X0)))
% 5.30/5.47 | ~ c_SEQ_Osubseq(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6697_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11955,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(X1,X0)))
% 5.30/5.47 | ~ c_SEQ_Osubseq(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1139]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11956,plain,
% 5.30/5.47 ( ~ c_SEQ_Osubseq(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),hAPP(X0,X1))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11955]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1137,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6698_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11951,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1137]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11952,plain,
% 5.30/5.47 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11951]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1135,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Nat_OSuc(X1))
% 5.30/5.47 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6699_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11947,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Nat_OSuc(X1))
% 5.30/5.47 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1135]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11948,plain,
% 5.30/5.47 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Nat_OSuc(X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11947]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1133,plain,
% 5.30/5.47 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6700_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11943,plain,
% 5.30/5.47 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1133]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11944,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,X0)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11943]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1131,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk53_1(X0))) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6701_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11939,plain,
% 5.30/5.47 ( hBOOL(hAPP(X0,X1))
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk53_1(X0))) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1131]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11940,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),sk1_esk53_1(X0)))
% 5.30/5.47 | hBOOL(hAPP(X0,X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11939]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1129,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6702_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11935,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1129]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11936,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11935]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1126,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Nat_OSuc(sk1_esk38_2(X1,X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6703_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11929,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Nat_OSuc(sk1_esk38_2(X1,X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1126]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11930,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | c_Nat_OSuc(sk1_esk38_2(X1,X0)) = X0
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11929]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1124,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6704_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11925,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1124]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11926,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11925]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1122,plain,
% 5.30/5.47 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6705_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11921,plain,
% 5.30/5.47 ( X0 = X1 | hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1122]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11922,plain,
% 5.30/5.47 ( hAPP(X0,sk1_esk1_2(X1,X0)) != hAPP(X1,sk1_esk1_2(X1,X0)) | X0 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11921]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1120,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6706_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11917,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1120]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11918,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11917]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1115,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1)))
% 5.30/5.47 | ~ c_SEQ_Osubseq(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6708_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11907,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1)))
% 5.30/5.47 | ~ c_SEQ_Osubseq(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1115]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11908,plain,
% 5.30/5.47 ( ~ c_SEQ_Osubseq(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X0,X1),hAPP(X0,c_Nat_OSuc(X1))) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11907]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1100,plain,
% 5.30/5.47 ( c_RealDef_Opositive(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.30/5.47 | ~ c_RealDef_Opositive(X1)
% 5.30/5.47 | ~ c_RealDef_Opositive(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6711_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11877,plain,
% 5.30/5.47 ( c_RealDef_Opositive(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1))
% 5.30/5.47 | ~ c_RealDef_Opositive(X1)
% 5.30/5.47 | ~ c_RealDef_Opositive(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1100]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1098,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6712_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11873,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X0)),X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1098]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1088,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X2 = X1
% 5.30/5.47 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6715_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11853,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X2 = X1
% 5.30/5.47 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1088]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11854,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X2 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11853]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1064,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X2 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6721_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11805,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X2 = X1
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | ~ class_Orderings_Olinorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1064]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11806,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X2 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11805]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1066,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X1 = X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6721_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11809,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,X2,X1)
% 5.30/5.47 | X1 = X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1066]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1061,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6722_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11799,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,X1) = X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1061]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11800,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),X1)
% 5.30/5.47 | c_Groups_Oabs__class_Oabs(X0,X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11799]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1059,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) != X0 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6725_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11795,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X0))
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) != X0 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1059]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1054,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6727_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11785,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1054]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11786,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11785]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1046,plain,
% 5.30/5.47 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk49_1(X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6730_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11769,plain,
% 5.30/5.47 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk49_1(X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1046]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11770,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X0)
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),sk1_esk49_1(X0)) = X0 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11769]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1044,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6731_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11765,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1044]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1042,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6732_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11761,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1042]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11762,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11761]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1040,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6733_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11757,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1040]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11758,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X0)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11757]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1032,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6736_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11741,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1032]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11742,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11741]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1024,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 5.30/5.47 | X0 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6741_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11725,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)
% 5.30/5.47 | X0 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1024]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1022,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6742_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11721,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1022]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1020,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.30/5.47 | X0 = X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6743_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11717,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
% 5.30/5.47 | X0 = X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1020]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1013,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.30/5.47 | X1 = X0 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6745_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11703,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
% 5.30/5.47 | X1 = X0 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1013]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_1010,plain,
% 5.30/5.47 ( c_RealDef_Opositive(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.30/5.47 | ~ c_RealDef_Opositive(X1)
% 5.30/5.47 | ~ c_RealDef_Opositive(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6746_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11697,plain,
% 5.30/5.47 ( c_RealDef_Opositive(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1))
% 5.30/5.47 | ~ c_RealDef_Opositive(X1)
% 5.30/5.47 | ~ c_RealDef_Opositive(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_1010]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_981,plain,
% 5.30/5.47 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6756_0) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11639,plain,
% 5.30/5.47 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_981]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_978,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6756_3) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11633,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X0) != c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | ~ class_Rings_Ono__zero__divisors(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_978]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11634,plain,
% 5.30/5.47 ( ~ class_Rings_Ono__zero__divisors(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X2 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11633]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_972,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.47 | hAPP(c_Int_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6758_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11621,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 5.30/5.47 | hAPP(c_Int_Onat,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_972]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_951,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6767_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11579,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_Groups_Ozero__class_Ozero(X1)
% 5.30/5.47 | ~ class_Rings_Oring__1__no__zero__divisors(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_951]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11580,plain,
% 5.30/5.47 ( ~ class_Rings_Oring__1__no__zero__divisors(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11579]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_949,plain,
% 5.30/5.47 ( c_Nat_OSuc(sk1_esk39_1(X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6771_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11575,plain,
% 5.30/5.47 ( c_Nat_OSuc(sk1_esk39_1(X0)) = X0
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_949]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11576,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | c_Nat_OSuc(sk1_esk39_1(X0)) = X0 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11575]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_937,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6775_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11551,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_937]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11552,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oabs__class_Oabs(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11551]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_930,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6778_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11537,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_930]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_928,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6779_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11533,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_928]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_909,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6784_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11495,plain,
% 5.30/5.47 ( ~ class_Orderings_Olinorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_909]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_903,plain,
% 5.30/5.47 ( X0 != X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.30/5.47 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6786_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11483,plain,
% 5.30/5.47 ( X0 != X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
% 5.30/5.47 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_903]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11484,plain,
% 5.30/5.47 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11483]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_900,plain,
% 5.30/5.47 ( X0 != X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.30/5.47 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6787_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11477,plain,
% 5.30/5.47 ( X0 != X1
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
% 5.30/5.47 | ~ class_Orderings_Oorder(X2) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_900]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11478,plain,
% 5.30/5.47 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X2)
% 5.30/5.47 | X2 != X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11477]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_898,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 5.30/5.47 | X0 != c_Nat_OSuc(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6788_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11473,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Nat_OSuc(X1)))
% 5.30/5.47 | X0 != c_Nat_OSuc(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_898]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_891,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6791_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11459,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X2)
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_891]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_889,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 5.30/5.47 | X0 != X2 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6792_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11455,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)
% 5.30/5.47 | X0 != X2 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_889]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_886,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6793_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11449,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_886]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11450,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1))
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11449]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_884,plain,
% 5.30/5.47 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6794_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11445,plain,
% 5.30/5.47 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_884]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11446,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11445]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_882,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6797_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11441,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(X0,X1,X1)
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_882]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11442,plain,
% 5.30/5.47 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(X0,X1,X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11441]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_870,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.47 | X1 != X2
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6801_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11417,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.47 | X1 != X2
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_870]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11418,plain,
% 5.30/5.47 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X2))
% 5.30/5.47 | X1 != X2 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11417]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_868,plain,
% 5.30/5.47 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6802_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11413,plain,
% 5.30/5.47 ( c_Nat__Transfer_Otsub(X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_868]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11414,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X1))
% 5.30/5.47 | c_Nat__Transfer_Otsub(X1,X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11413]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_862,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6808_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11401,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_862]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11402,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11401]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_860,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6809_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11397,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_860]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11398,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11397]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_858,plain,
% 5.30/5.47 ( c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6810_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11393,plain,
% 5.30/5.47 ( c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_858]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11394,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.47 | c_Polynomial_Opcompose(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11393]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_856,plain,
% 5.30/5.47 ( c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6811_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11389,plain,
% 5.30/5.47 ( c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_856]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11390,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.47 | c_Polynomial_Osynthetic__div(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11389]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_854,plain,
% 5.30/5.47 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6813_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11385,plain,
% 5.30/5.47 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_854]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11386,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11385]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_852,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X0,X1))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6814_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11381,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X0,X1))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_852]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11382,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk61_2(X1,X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11381]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_850,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6815_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11377,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X0,X1))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_850]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11378,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk59_2(X1,X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11377]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_848,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1))
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6816_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11373,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1))
% 5.30/5.47 | ~ class_Orderings_Opreorder(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_848]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11374,plain,
% 5.30/5.47 ( ~ class_Orderings_Opreorder(X0)
% 5.30/5.47 | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,X1),X1)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11373]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_839,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6819_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11355,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_839]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11356,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) != X0
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11355]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_837,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6825_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11351,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_837]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_835,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6826_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11347,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X0,X1) | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_835]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_833,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6827_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11343,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_833]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_825,plain,
% 5.30/5.47 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6831_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11327,plain,
% 5.30/5.47 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_825]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11328,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X0 != X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11327]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_823,plain,
% 5.30/5.47 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6832_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11323,plain,
% 5.30/5.47 ( X0 != X1 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_823]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11324,plain,
% 5.30/5.47 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) | X1 != X0 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11323]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_821,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6833_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11319,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_821]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11320,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11319]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_819,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6834_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11315,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_819]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11316,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11315]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_817,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 5.30/5.47 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6835_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11311,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1
% 5.30/5.47 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_817]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11312,plain,
% 5.30/5.47 ( ~ class_Groups_Oab__group__add(X0)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X0),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11311]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_811,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6838_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11299,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_811]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_810,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6839_0) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11297,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_810]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_808,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6839_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11293,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_808]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11294,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11293]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_805,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6842_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11287,plain,
% 5.30/5.47 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_805]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11288,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != X0
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11287]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_799,plain,
% 5.30/5.47 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6845_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11275,plain,
% 5.30/5.47 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_799]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11276,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11275]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_797,plain,
% 5.30/5.47 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6846_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11271,plain,
% 5.30/5.47 ( X0 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_797]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11272,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X1 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11271]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_795,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6847_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11267,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_795]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_789,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6850_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11255,plain,
% 5.30/5.47 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_789]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_784,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)
% 5.30/5.47 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6852_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11245,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)
% 5.30/5.47 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_784]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11246,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.47 | c_Groups_Oabs__class_Oabs(X0,hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11245]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_770,plain,
% 5.30/5.47 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 5.30/5.47 | ~ class_Power_Opower(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6857_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11217,plain,
% 5.30/5.47 ( c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0)
% 5.30/5.47 | ~ class_Power_Opower(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_770]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11218,plain,
% 5.30/5.47 ( ~ class_Power_Opower(X0)
% 5.30/5.47 | c_Power_Opower_Opower(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Otimes__class_Otimes(X0)) = c_Power_Opower__class_Opower(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11217]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_766,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6863_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11209,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_766]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11210,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11209]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_764,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Omult__zero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6864_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11205,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Omult__zero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_764]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11206,plain,
% 5.30/5.47 ( ~ class_Rings_Omult__zero(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11205]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_762,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6865_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11201,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_762]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11202,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_Groups_Oone__class_Oone(X0)),X1) = c_Groups_Oone__class_Oone(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11201]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_758,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6867_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11193,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_758]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11194,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Ozero__class_Ozero(X0)),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11193]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_743,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6872_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11163,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
% 5.30/5.47 | ~ class_Rings_Olinordered__semidom(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_743]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11164,plain,
% 5.30/5.47 ( ~ class_Rings_Olinordered__semidom(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11163]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_738,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6874_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11153,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_738]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11154,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11153]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_736,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6875_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11149,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_736]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11150,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11149]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_734,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6876_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11145,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_734]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11146,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oone__class_Oone(X0)),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11145]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_732,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6877_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11141,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_732]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11142,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11141]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_730,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6878_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11137,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_730]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11138,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11137]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_728,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6879_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11133,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__field(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_728]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11134,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__field(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11133]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_720,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6882_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11117,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_720]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11118,plain,
% 5.30/5.47 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.47 | c_Divides_Odiv__class_Odiv(X0,c_Groups_Ozero__class_Ozero(X0),X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11117]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_718,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6883_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11113,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_718]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11114,plain,
% 5.30/5.47 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.47 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11113]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_713,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6885_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11103,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring__inverse__zero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_713]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11104,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring__inverse__zero(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11103]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_710,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6886_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11097,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_710]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11098,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11097]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_704,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6888_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11085,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_704]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11086,plain,
% 5.30/5.47 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.47 | c_Divides_Odiv__class_Odiv(X0,X1,X1) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11085]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_702,plain,
% 5.30/5.47 ( c_SEQ_Osubseq(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk5_1(X0),sk1_esk6_1(X0)) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6889_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11081,plain,
% 5.30/5.47 ( c_SEQ_Osubseq(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,sk1_esk5_1(X0),sk1_esk6_1(X0)) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_702]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_700,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6890_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11077,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0))
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_700]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11078,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.30/5.47 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sk1_esk60_1(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11077]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_698,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6891_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11073,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_698]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11074,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11073]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_696,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Omult__zero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6892_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11069,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Rings_Omult__zero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_696]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11070,plain,
% 5.30/5.47 ( ~ class_Rings_Omult__zero(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11069]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_692,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6894_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11061,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_692]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11062,plain,
% 5.30/5.47 ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11061]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_681,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6898_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11039,plain,
% 5.30/5.47 ( c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Odivision__ring(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_681]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11040,plain,
% 5.30/5.47 ( ~ class_Rings_Odivision__ring(X0)
% 5.30/5.47 | c_Rings_Oinverse__class_Odivide(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11039]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_679,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6899_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11035,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_679]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11036,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11035]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_677,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6900_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11031,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_677]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11032,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11031]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_675,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6901_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11027,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_675]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11028,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11027]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_673,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6902_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11023,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_673]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11024,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11023]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_671,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6903_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11019,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_671]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11020,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11019]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_669,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6904_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11015,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_669]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11016,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11015]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_667,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6905_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11011,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Divides_Osemiring__div(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_667]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11012,plain,
% 5.30/5.47 ( ~ class_Divides_Osemiring__div(X0)
% 5.30/5.47 | c_Divides_Odiv__class_Odiv(X0,X1,c_Groups_Oone__class_Oone(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11011]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_665,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6906_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11007,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_665]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11008,plain,
% 5.30/5.47 ( ~ class_Groups_Ogroup__add(X0)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_11007]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_662,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6907_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_11001,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_662]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_660,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6908_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10997,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_660]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10998,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10997]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_658,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6909_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10993,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_658]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10994,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10993]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_656,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Power_Opower(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6910_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10989,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.47 | ~ class_Power_Opower(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_656]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10990,plain,
% 5.30/5.47 ( ~ class_Power_Opower(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10989]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_654,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6911_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10985,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_654]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10986,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10985]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_652,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6912_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10981,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1
% 5.30/5.47 | ~ class_Groups_Ocomm__monoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_652]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10982,plain,
% 5.30/5.47 ( ~ class_Groups_Ocomm__monoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Groups_Oone__class_Oone(X0)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10981]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_648,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6915_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10973,plain,
% 5.30/5.47 ( c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.47 | ~ class_Groups_Ogroup__add(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_648]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10974,plain,
% 5.30/5.47 ( ~ class_Groups_Ogroup__add(X0)
% 5.30/5.47 | c_Groups_Ominus__class_Ominus(X0,X1,X1) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10973]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_646,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6916_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10969,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_646]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_644,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | X0 != c_Nat_OSuc(X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6917_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10965,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | X0 != c_Nat_OSuc(X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_644]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_642,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6918_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10961,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 5.30/5.47 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_642]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10962,plain,
% 5.30/5.47 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10961]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_640,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6919_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10957,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1
% 5.30/5.47 | ~ class_Groups_Omonoid__mult(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_640]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10958,plain,
% 5.30/5.47 ( ~ class_Groups_Omonoid__mult(X0)
% 5.30/5.47 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10957]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_638,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6921_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10953,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
% 5.30/5.47 | X0 != X1 ),
% 5.30/5.47 inference(copy,[status(esa)],[c_638]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_635,plain,
% 5.30/5.47 ( c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6922_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10947,plain,
% 5.30/5.47 ( c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.47 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_635]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10948,plain,
% 5.30/5.47 ( ~ class_Groups_Ozero(X0)
% 5.30/5.47 | c_Nat_OSuc(c_Polynomial_Odegree(X0,X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X0,X1)
% 5.30/5.47 | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10947]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_633,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6926_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10943,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X1) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_633]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_631,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6927_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10939,plain,
% 5.30/5.47 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1)
% 5.30/5.47 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_631]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10940,plain,
% 5.30/5.47 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.47 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oabs__class_Oabs(X0,X1)) = c_Groups_Oabs__class_Oabs(X0,X1) ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10939]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_625,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6929_2) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10927,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X0 != c_Groups_Oone__class_Oone(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_625]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_621,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6933_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10919,plain,
% 5.30/5.47 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_621]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_619,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = X1
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6934_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10915,plain,
% 5.30/5.47 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = X1
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_619]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_615,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6936_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10907,plain,
% 5.30/5.47 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X0,X0) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 5.30/5.47 | X0 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_615]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_609,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6948_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10895,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_609]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10896,plain,
% 5.30/5.47 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.47 | X0 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10895]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_607,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6949_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10891,plain,
% 5.30/5.47 ( X0 = X1
% 5.30/5.47 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_607]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10892,plain,
% 5.30/5.47 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)
% 5.30/5.47 | X0 = X1 ),
% 5.30/5.47 inference(rewriting,[status(thm)],[c_10891]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_603,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6953_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10883,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X0),X1) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 5.30/5.47 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 inference(copy,[status(esa)],[c_603]) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_601,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.47 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.47 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6954_1) ).
% 5.30/5.47
% 5.30/5.47 cnf(c_10879,plain,
% 5.30/5.47 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_601]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_599,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6955_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10875,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_599]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_593,plain,
% 5.30/5.48 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.48 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6964_2) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10863,plain,
% 5.30/5.48 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.48 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_593]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10864,plain,
% 5.30/5.48 ( X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | X1 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0)
% 5.30/5.48 | X0 = hAPP(c_Int_Onat,X1) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10863]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_584,plain,
% 5.30/5.48 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.48 | ~ c_SEQ_Oincseq(X0,X1)
% 5.30/5.48 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6968_2) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10845,plain,
% 5.30/5.48 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.48 | ~ c_SEQ_Oincseq(X0,X1)
% 5.30/5.48 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_584]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10846,plain,
% 5.30/5.48 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.48 | c_SEQ_Omonoseq(X0,X1)
% 5.30/5.48 | ~ c_SEQ_Oincseq(X0,X1) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10845]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_581,plain,
% 5.30/5.48 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.48 | ~ c_SEQ_Odecseq(X0,X1)
% 5.30/5.48 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6969_2) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10839,plain,
% 5.30/5.48 ( c_SEQ_Omonoseq(X0,X1)
% 5.30/5.48 | ~ c_SEQ_Odecseq(X0,X1)
% 5.30/5.48 | ~ class_Orderings_Oorder(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_581]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10840,plain,
% 5.30/5.48 ( ~ class_Orderings_Oorder(X0)
% 5.30/5.48 | ~ c_SEQ_Odecseq(X0,X1)
% 5.30/5.48 | c_SEQ_Omonoseq(X0,X1) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10839]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_579,plain,
% 5.30/5.48 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1 ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6970_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10835,plain,
% 5.30/5.48 ( X0 = hAPP(c_Int_Onat,X1)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1 ),
% 5.30/5.48 inference(copy,[status(esa)],[c_579]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10836,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != X1
% 5.30/5.48 | X0 = hAPP(c_Int_Onat,X1) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10835]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_577,plain,
% 5.30/5.48 ( c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6971_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10831,plain,
% 5.30/5.48 ( c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_577]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10832,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | c_Polynomial_Odegree(X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10831]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_575,plain,
% 5.30/5.48 ( c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6972_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10827,plain,
% 5.30/5.48 ( c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_575]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10828,plain,
% 5.30/5.48 ( ~ class_Groups_Ozero(X0)
% 5.30/5.48 | c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10827]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_559,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.48 | X0 != X1 ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6978_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10795,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1)
% 5.30/5.48 | X0 != X1 ),
% 5.30/5.48 inference(copy,[status(esa)],[c_559]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_557,plain,
% 5.30/5.48 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)
% 5.30/5.48 | X0 != X1 ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6979_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10791,plain,
% 5.30/5.48 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) = hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)
% 5.30/5.48 | X0 != X1 ),
% 5.30/5.48 inference(copy,[status(esa)],[c_557]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_555,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6980_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10787,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_fun(X0,X1)) | ~ class_Orderings_Oord(X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_555]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_553,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6981_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10783,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_553]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_551,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 5.30/5.48 | ~ class_Orderings_Opreorder(X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6982_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10779,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 5.30/5.48 | ~ class_Orderings_Opreorder(X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_551]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_549,plain,
% 5.30/5.48 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6985_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10775,plain,
% 5.30/5.48 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_549]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10776,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.48 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10775]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_547,plain,
% 5.30/5.48 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6986_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10771,plain,
% 5.30/5.48 ( X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 5.30/5.48 | hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_547]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10772,plain,
% 5.30/5.48 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.48 | X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10771]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_545,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.48 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6987_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10767,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.48 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_545]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10768,plain,
% 5.30/5.48 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X0) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10767]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_543,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6988_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10763,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Rings_Osemiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_543]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10764,plain,
% 5.30/5.48 ( ~ class_Rings_Osemiring__1(X0)
% 5.30/5.48 | hAPP(c_Nat_Osemiring__1__class_Oof__nat(X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10763]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_535,plain,
% 5.30/5.48 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6993_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10747,plain,
% 5.30/5.48 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0)
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_535]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10748,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(X0) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10747]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_533,plain,
% 5.30/5.48 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6994_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10743,plain,
% 5.30/5.48 ( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_533]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10744,plain,
% 5.30/5.48 ( ~ class_Groups_Oordered__ab__group__add__abs(X0)
% 5.30/5.48 | c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10743]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_531,plain,
% 5.30/5.48 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 5.30/5.48 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6995_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10739,plain,
% 5.30/5.48 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 5.30/5.48 | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_531]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10740,plain,
% 5.30/5.48 ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 5.30/5.48 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Oone__class_Oone(X0)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10739]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_529,plain,
% 5.30/5.48 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.48 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6996_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10735,plain,
% 5.30/5.48 ( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.48 | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_529]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10736,plain,
% 5.30/5.48 ( ~ class_RealVector_Oreal__normed__vector(X0)
% 5.30/5.48 | c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10735]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_527,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6997_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10731,plain,
% 5.30/5.48 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_527]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_525,plain,
% 5.30/5.48 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6998_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10727,plain,
% 5.30/5.48 ( hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 5.30/5.48 | X0 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_525]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_509,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Rings_Ozero__neq__one(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7012_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10695,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
% 5.30/5.48 | ~ class_Rings_Ozero__neq__one(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_509]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10696,plain,
% 5.30/5.48 ( ~ class_Rings_Ozero__neq__one(X0)
% 5.30/5.48 | c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10695]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_507,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7017_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10691,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_507]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10692,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | class_Groups_Oone(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10691]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_505,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7018_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10687,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Polynomial_Opoly(X0)) | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_505]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_503,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7019_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10683,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_503]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10684,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__ring(X0)
% 5.30/5.48 | class_Rings_Oring(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10683]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_501,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7020_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10679,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ozero(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_501]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_499,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7021_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10675,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_499]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10676,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10675]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_497,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7022_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10671,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_497]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10672,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__ring__1(X0)
% 5.30/5.48 | class_Rings_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10671]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_495,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7023_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10667,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_495]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10668,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Orderings_Oord(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10667]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_493,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7024_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10663,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_493]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10664,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.48 | class_Rings_Osemiring(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10663]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_491,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7025_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10659,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_491]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10660,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Orderings_Oorder(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10659]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_489,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7026_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10655,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_489]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10656,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.48 | class_Rings_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10655]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_487,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7027_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10651,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_487]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10652,plain,
% 5.30/5.48 ( ~ class_Groups_Oab__group__add(X0)
% 5.30/5.48 | class_Groups_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10651]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_485,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7028_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10647,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_485]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10648,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.48 | class_Rings_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10647]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_483,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7029_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10643,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_483]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10644,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | class_Rings_Osemiring__1(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10643]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_481,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7030_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10639,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_481]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10640,plain,
% 5.30/5.48 ( ~ class_Groups_Ocomm__monoid__add(X0)
% 5.30/5.48 | class_Groups_Omonoid__add(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10639]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_479,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7031_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10635,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_479]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_477,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7032_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10631,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_477]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10632,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10631]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_475,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7033_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10627,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_475]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10628,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Orderings_Olinorder(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10627]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_473,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7034_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10623,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_473]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10624,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Orderings_Opreorder(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10623]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_471,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7035_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10619,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_471]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10620,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Rings_Oordered__ring(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10619]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_469,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7036_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10615,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_469]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10616,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__1(X0)
% 5.30/5.48 | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10615]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_467,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7037_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10611,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Oab__group__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_467]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_465,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7038_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10607,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_465]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10608,plain,
% 5.30/5.48 ( ~ class_Rings_Olinordered__idom(X0)
% 5.30/5.48 | class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10607]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_463,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7039_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10603,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_463]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10604,plain,
% 5.30/5.48 ( ~ class_Rings_Ocomm__semiring__0(X0)
% 5.30/5.48 | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10603]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_461,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Fields_Ofield(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7040_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10599,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Fields_Ofield(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_461]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_459,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7041_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10595,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_459]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_457,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7042_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10591,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_457]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_455,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7043_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10587,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_455]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_453,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7044_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10583,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_453]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_451,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7045_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10579,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_451]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_449,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7046_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10575,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_449]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_447,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7047_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10571,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_447]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_445,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7048_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10567,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_445]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_443,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7049_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10563,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocomm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_443]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_441,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7050_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10559,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__1(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_441]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_439,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7051_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10555,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__semiring__0(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_439]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_437,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7052_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10551,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_437]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_435,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7053_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10547,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_435]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_433,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7054_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10543,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_433]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10544,plain,
% 5.30/5.48 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 5.30/5.48 | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10543]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_431,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7055_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10539,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_431]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_429,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7056_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10535,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_429]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_427,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7057_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10531,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_427]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_425,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7058_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10527,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_425]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_423,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7059_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10523,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_423]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_421,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7060_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10519,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_421]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_419,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7061_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10515,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_419]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_417,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7062_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10511,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_417]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10512,plain,
% 5.30/5.48 ( ~ class_Groups_Ocancel__comm__monoid__add(X0)
% 5.30/5.48 | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X0)) ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10511]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_415,plain,
% 5.30/5.48 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7063_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10507,plain,
% 5.30/5.48 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_415]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_413,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7064_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10503,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_413]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_411,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7065_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10499,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_411]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_409,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7066_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10495,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_409]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_407,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7067_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10491,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_407]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_405,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7068_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10487,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_405]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_403,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7069_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10483,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_403]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_401,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7070_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10479,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_401]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_399,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7071_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10475,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Olinordered__idom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_399]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_397,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7072_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10471,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Oidom(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_397]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_395,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7073_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10467,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Rings_Ocomm__ring(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_395]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_393,plain,
% 5.30/5.48 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7074_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10463,plain,
% 5.30/5.48 ( class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X0))
% 5.30/5.48 | ~ class_Groups_Ocancel__comm__monoid__add(X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_393]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_389,plain,
% 5.30/5.48 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7076_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10455,plain,
% 5.30/5.48 ( X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_389]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10456,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) != c_Nat_OSuc(X1) | X0 = X1 ),
% 5.30/5.48 inference(rewriting,[status(thm)],[c_10455]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_387,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7077_1) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10451,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) = c_Nat_OSuc(X1) | X0 != X1 ),
% 5.30/5.48 inference(copy,[status(esa)],[c_387]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_385,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6366_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10447,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_385]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_384,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6398_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10445,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_384]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_383,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6399_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10443,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_383]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_382,plain,
% 5.30/5.48 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6630_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10441,plain,
% 5.30/5.48 ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X0)),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_382]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_381,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6692_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10439,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_381]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_380,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6693_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10437,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_380]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_377,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6822_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10431,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_377]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_375,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6841_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10427,plain,
% 5.30/5.48 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_375]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_374,plain,
% 5.30/5.48 ( ~ c_RealDef_Opositive(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7078_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10425,plain,
% 5.30/5.48 ( ~ c_RealDef_Opositive(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_374]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_368,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7084_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10413,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_368]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_367,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7090_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10411,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_367]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_366,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7091_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10409,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_Int_Oint) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_366]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_364,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) != X0 ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7093_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10405,plain,
% 5.30/5.48 ( c_Nat_OSuc(X0) != X0 ),
% 5.30/5.48 inference(copy,[status(esa)],[c_364]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_363,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7096_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10403,plain,
% 5.30/5.48 ( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 5.30/5.48 inference(copy,[status(esa)],[c_363]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_362,plain,
% 5.30/5.48 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7097_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10401,plain,
% 5.30/5.48 ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Oii ),
% 5.30/5.48 inference(copy,[status(esa)],[c_362]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_361,plain,
% 5.30/5.48 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),X2)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5567_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10399,plain,
% 5.30/5.48 ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X0,X2),hAPP(X0,X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),X2)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_361]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_360,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5575_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10397,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_360]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_359,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5601_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10395,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_359]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_358,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5609_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10393,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_358]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_357,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5641_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10391,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1)))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_357]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_356,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5660_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10389,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_356]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_353,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_5898_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10385,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0)))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_353]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_351,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6020_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10382,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X0,X1)),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_351]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_350,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6021_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10380,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_350]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_342,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6064_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10371,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,X0)),X1))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_342]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_326,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6287_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10354,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_326]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_324,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6289_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10351,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_324]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_323,plain,
% 5.30/5.48 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6290_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10349,plain,
% 5.30/5.48 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2),X1) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_323]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_320,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6319_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10345,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_320]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_319,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6320_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10343,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_319]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_318,plain,
% 5.30/5.48 ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6337_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10341,plain,
% 5.30/5.48 ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_318]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_317,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6354_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10339,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_317]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_316,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6355_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10337,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_316]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_314,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6374_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10334,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_314]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_313,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6383_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10332,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_313]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_297,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(X0))),v_r)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6483_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10315,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_g____(X0))),v_r)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_297]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_295,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6499_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10311,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_295]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_289,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatceiling(X0)))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6614_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10304,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_RComplete_Onatceiling(X0)))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_289]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_288,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6616_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10302,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),c_Nat_OSuc(X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_288]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_283,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6639_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10295,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_283]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_282,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6640_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10293,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_282]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_277,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6759_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10287,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_277]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_276,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6760_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10285,plain,
% 5.30/5.48 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_276]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_275,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6768_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10283,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_275]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_274,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6769_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10281,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_274]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_273,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X0))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6770_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10279,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X0))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_273]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_272,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6795_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10277,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_272]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_271,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6796_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10275,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_271]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_270,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6803_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10273,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_270]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_269,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6804_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10271,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_269]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_268,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6807_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10269,plain,
% 5.30/5.48 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X0) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_268]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_265,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6824_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10264,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_265]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_264,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6837_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10262,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_264]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_262,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6860_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10259,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X0),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_262]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_261,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6861_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10257,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_261]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_260,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6862_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10255,plain,
% 5.30/5.48 ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_260]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_257,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6923_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10251,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_257]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_252,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6937_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10245,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_252]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_251,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_6938_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10243,plain,
% 5.30/5.48 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X0)) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_251]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_210,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7098_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10201,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_210]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_209,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7099_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10199,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_209]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_208,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7100_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10197,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_208]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_207,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7101_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10195,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_207]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_206,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7102_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10193,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_206]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_205,plain,
% 5.30/5.48 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7103_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10191,plain,
% 5.30/5.48 ( class_Fields_Ofield(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_205]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_204,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7104_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10189,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_204]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_203,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7105_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10187,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_203]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_202,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7106_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10185,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_202]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_201,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7107_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10183,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_201]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_200,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7108_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10181,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_200]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_199,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7109_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10179,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_199]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_198,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7110_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10177,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_198]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_197,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7111_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10175,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_197]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_196,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7112_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10173,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_196]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_195,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7113_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10171,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_195]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_194,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7114_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10169,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_194]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_193,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7115_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10167,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_193]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_192,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7116_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10165,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_192]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_191,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7117_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10163,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_191]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_190,plain,
% 5.30/5.48 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7118_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10161,plain,
% 5.30/5.48 ( class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_190]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_189,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7119_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10159,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_189]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_188,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7120_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10157,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_188]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_187,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7121_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10155,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_187]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_186,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7122_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10153,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_186]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_185,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7123_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10151,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_185]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_184,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7124_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10149,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_184]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_183,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7125_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10147,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_183]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_182,plain,
% 5.30/5.48 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7126_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10145,plain,
% 5.30/5.48 ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_182]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_181,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7127_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10143,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_181]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_180,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7128_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10141,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_180]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_179,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7129_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10139,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_179]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_178,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7130_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10137,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_178]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_177,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7131_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10135,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_177]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_176,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7132_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10133,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_176]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_175,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7133_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10131,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_175]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_174,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7134_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10129,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_174]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_173,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7135_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10127,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_173]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_172,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7136_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10125,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_172]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_171,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7137_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10123,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_171]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_170,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7138_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10121,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_170]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_169,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7139_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10119,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_169]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_168,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7140_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10117,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_168]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_167,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7141_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10115,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_167]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_166,plain,
% 5.30/5.48 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7142_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10113,plain,
% 5.30/5.48 ( class_Power_Opower(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_166]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_165,plain,
% 5.30/5.48 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7143_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10111,plain,
% 5.30/5.48 ( class_Fields_Ofield(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_165]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_164,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7144_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10109,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_164]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_163,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7145_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10107,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_163]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_162,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7146_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10105,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_162]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_161,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7147_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10103,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_161]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_160,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7148_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10101,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_160]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_159,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7149_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10099,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_159]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_158,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7150_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10097,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_158]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_157,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7151_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10095,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_157]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_156,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7152_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10093,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_156]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_155,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7153_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10091,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_155]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_154,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7154_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10089,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_154]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_153,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7155_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10087,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_153]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_152,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7156_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10085,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_152]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_151,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7157_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10083,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_151]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_150,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7158_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10081,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_150]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_149,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7159_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10079,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_149]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_148,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7160_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10077,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_148]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_147,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7161_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10075,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_147]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_146,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7162_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10073,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_146]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_145,plain,
% 5.30/5.48 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7163_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10071,plain,
% 5.30/5.48 ( class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_145]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_144,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7164_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10069,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_144]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_143,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7165_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10067,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_143]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_142,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7166_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10065,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_142]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_141,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7167_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10063,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_141]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_140,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7168_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10061,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_140]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_139,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7169_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10059,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_139]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_138,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7170_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10057,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_138]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_137,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7171_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10055,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_137]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_136,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7172_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10053,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_136]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_135,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7173_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10051,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_135]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_134,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7174_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10049,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_134]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_133,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7175_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10047,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_133]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_132,plain,
% 5.30/5.48 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7176_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10045,plain,
% 5.30/5.48 ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_132]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_131,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7177_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10043,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_131]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_130,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7178_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10041,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_130]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_129,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7179_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10039,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_129]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_128,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7180_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10037,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_128]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_127,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7181_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10035,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_127]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_126,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7182_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10033,plain,
% 5.30/5.48 ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_126]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_125,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7183_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10031,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_125]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_124,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7184_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10029,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_124]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_123,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7185_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10027,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_123]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_122,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7186_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10025,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_122]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_121,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7187_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10023,plain,
% 5.30/5.48 ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_121]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_120,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7188_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10021,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_120]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_119,plain,
% 5.30/5.48 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7189_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10019,plain,
% 5.30/5.48 ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_119]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_118,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7190_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10017,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_118]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_117,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7191_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10015,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_117]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_116,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7192_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10013,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_116]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_115,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7193_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10011,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_115]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_114,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7194_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10009,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_114]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_113,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7195_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10007,plain,
% 5.30/5.48 ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_113]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_112,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7196_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10005,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_112]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_111,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7197_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10003,plain,
% 5.30/5.48 ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_111]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_110,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7198_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_10001,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_110]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_109,plain,
% 5.30/5.48 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7199_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9999,plain,
% 5.30/5.48 ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_109]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_108,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7200_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9997,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_108]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_107,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7201_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9995,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_107]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_106,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7202_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9993,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_106]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_105,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7203_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9991,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_105]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_104,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7204_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9989,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_HOL_Obool) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_104]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_103,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7205_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9987,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_HOL_Obool) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_103]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_102,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7206_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9985,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_HOL_Obool) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_102]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_101,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7207_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9983,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_101]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_100,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7208_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9981,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_100]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_99,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7209_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9979,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_99]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_98,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7210_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9977,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_98]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_97,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7211_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9975,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_97]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_96,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7212_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9973,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_96]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_95,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7213_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9971,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_95]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_94,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7214_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9969,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_94]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_93,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7215_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9967,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_93]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_92,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7216_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9965,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_92]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_91,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7217_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9963,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_91]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_90,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7218_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9961,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_90]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_89,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7219_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9959,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_89]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_88,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7220_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9957,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_88]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_87,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7221_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9955,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_87]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_86,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7222_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9953,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_86]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_85,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7223_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9951,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_85]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_84,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7224_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9949,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_84]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_83,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7225_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9947,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_83]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_82,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7226_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9945,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_82]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_81,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7227_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9943,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_81]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_80,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7228_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9941,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_80]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_79,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7229_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9939,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_79]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_78,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7230_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9937,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_78]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_77,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7231_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9935,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_77]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_76,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7232_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9933,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_76]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_75,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7233_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9931,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_75]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_74,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7234_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9929,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_74]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_73,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7235_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9927,plain,
% 5.30/5.48 ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_73]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_72,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7236_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9925,plain,
% 5.30/5.48 ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_72]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_71,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7237_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9923,plain,
% 5.30/5.48 ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_71]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_70,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7238_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9921,plain,
% 5.30/5.48 ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_70]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_69,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7239_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9919,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_69]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_68,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7240_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9917,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_68]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_67,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7241_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9915,plain,
% 5.30/5.48 ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_67]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_66,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7242_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9913,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_66]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_65,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7243_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9911,plain,
% 5.30/5.48 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_65]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_64,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7244_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9909,plain,
% 5.30/5.48 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_64]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_63,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7245_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9907,plain,
% 5.30/5.48 ( class_Groups_Oone(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_63]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_62,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7246_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9905,plain,
% 5.30/5.48 ( class_Rings_Oidom(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_62]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_61,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7247_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9903,plain,
% 5.30/5.48 ( class_Rings_Oring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_61]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_60,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7248_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9901,plain,
% 5.30/5.48 ( class_Groups_Ozero(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_60]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_59,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7249_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9899,plain,
% 5.30/5.48 ( class_Power_Opower(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_59]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_58,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7250_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9897,plain,
% 5.30/5.48 ( class_Rings_Oring__1(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_58]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_57,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7251_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9895,plain,
% 5.30/5.48 ( class_Orderings_Oord(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_57]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_56,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7252_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9893,plain,
% 5.30/5.48 ( class_Rings_Osemiring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_56]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_55,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7253_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9891,plain,
% 5.30/5.48 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_55]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_54,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7254_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9889,plain,
% 5.30/5.48 ( class_Rings_Omult__zero(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_54]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_53,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7255_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9887,plain,
% 5.30/5.48 ( class_Groups_Ogroup__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_53]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_52,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7256_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9885,plain,
% 5.30/5.48 ( class_Rings_Osemiring__0(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_52]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_51,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7257_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9883,plain,
% 5.30/5.48 ( class_Rings_Osemiring__1(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_51]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_50,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7258_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9881,plain,
% 5.30/5.48 ( class_Groups_Omonoid__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_50]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_49,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7259_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9879,plain,
% 5.30/5.48 ( class_Rings_Ocomm__ring__1(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_49]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_48,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7260_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9877,plain,
% 5.30/5.48 ( class_Groups_Omonoid__mult(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_48]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_47,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7261_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9875,plain,
% 5.30/5.48 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_47]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_46,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7262_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9873,plain,
% 5.30/5.48 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_46]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_45,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7263_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9871,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_45]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_44,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7264_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9869,plain,
% 5.30/5.48 ( class_Rings_Ozero__neq__one(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_44]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_43,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7265_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9867,plain,
% 5.30/5.48 ( class_Groups_Oab__group__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_43]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_42,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7266_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9865,plain,
% 5.30/5.48 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_42]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_41,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7267_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9863,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_41]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_40,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7268_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9861,plain,
% 5.30/5.48 ( class_Divides_Osemiring__div(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_40]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_39,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7269_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9859,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_39]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_38,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7270_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9857,plain,
% 5.30/5.48 ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_38]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_37,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7271_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9855,plain,
% 5.30/5.48 ( class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_37]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_36,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7272_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9853,plain,
% 5.30/5.48 ( class_Rings_Olinordered__ring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_36]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_35,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7273_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9851,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_35]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_34,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7274_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9849,plain,
% 5.30/5.48 ( class_Rings_Ono__zero__divisors(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_34]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_33,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7275_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9847,plain,
% 5.30/5.48 ( class_Rings_Oordered__ring__abs(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_33]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_32,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7276_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9845,plain,
% 5.30/5.48 ( class_Rings_Oordered__semiring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_32]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_31,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7277_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9843,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_31]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_30,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7278_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9841,plain,
% 5.30/5.48 ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_30]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_29,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7279_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9839,plain,
% 5.30/5.48 ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_29]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_28,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7280_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9837,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_28]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_27,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7281_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9835,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_27]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_26,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7282_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9833,plain,
% 5.30/5.48 ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_26]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_25,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7283_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9831,plain,
% 5.30/5.48 ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) ),
% 5.30/5.48 inference(copy,[status(esa)],[c_25]) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_24,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 5.30/5.48 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7284_0) ).
% 5.30/5.48
% 5.30/5.48 cnf(c_9829,plain,
% 5.30/5.48 ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_24]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_23,plain,
% 5.30/5.49 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7285_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9827,plain,
% 5.30/5.49 ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_23]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_22,plain,
% 5.30/5.49 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7286_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9825,plain,
% 5.30/5.49 ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_22]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_21,plain,
% 5.30/5.49 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7287_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9823,plain,
% 5.30/5.49 ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_21]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_20,plain,
% 5.30/5.49 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7288_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9821,plain,
% 5.30/5.49 ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_20]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_19,plain,
% 5.30/5.49 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7289_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9819,plain,
% 5.30/5.49 ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_19]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_18,plain,
% 5.30/5.49 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7290_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9817,plain,
% 5.30/5.49 ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_18]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_17,plain,
% 5.30/5.49 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7291_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9815,plain,
% 5.30/5.49 ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_17]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_16,plain,
% 5.30/5.49 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7292_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9813,plain,
% 5.30/5.49 ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_16]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_15,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7293_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9811,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_15]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_14,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7294_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9809,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_14]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_13,plain,
% 5.30/5.49 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7295_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9807,plain,
% 5.30/5.49 ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_13]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_12,plain,
% 5.30/5.49 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7296_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9805,plain,
% 5.30/5.49 ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_12]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_11,plain,
% 5.30/5.49 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7297_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9803,plain,
% 5.30/5.49 ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_11]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_10,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7298_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9801,plain,
% 5.30/5.49 ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_10]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9,plain,
% 5.30/5.49 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7299_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9799,plain,
% 5.30/5.49 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_9]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_8,plain,
% 5.30/5.49 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7300_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9797,plain,
% 5.30/5.49 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_8]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_7,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7301_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9795,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_7]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_6,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7302_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9793,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_6]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_5,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7303_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9791,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_5]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_4,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7304_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9789,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_4]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_3,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7305_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9787,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_3]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_2,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7306_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9785,plain,
% 5.30/5.49 ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_2]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_1,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7307_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9783,plain,
% 5.30/5.49 ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_1]) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_0,plain,
% 5.30/5.49 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 5.30/5.49 file('/export/starexec/sandbox/tmp/iprover_modulo_d62d59.p', c_0_7308_0) ).
% 5.30/5.49
% 5.30/5.49 cnf(c_9781,plain,
% 5.30/5.49 ( c_SEQ_Osubseq(sk1_esk2_0) ),
% 5.30/5.49 inference(copy,[status(esa)],[c_0]) ).
% 5.30/5.49
% 5.30/5.49
% 5.30/5.49
% 5.30/5.49 % ------ Statistics
% 5.30/5.49
% 5.30/5.49 % ------ General
% 5.30/5.49
% 5.30/5.49 % num_of_input_clauses: 4305
% 5.30/5.49 % num_of_input_neg_conjectures: 1
% 5.30/5.49 % num_of_splits: 0
% 5.30/5.49 % num_of_split_atoms: 0
% 5.30/5.49 % num_of_sem_filtered_clauses: 0
% 5.30/5.49 % num_of_subtypes: 0
% 5.30/5.49 % monotx_restored_types: 0
% 5.30/5.49 % sat_num_of_epr_types: 0
% 5.30/5.49 % sat_num_of_non_cyclic_types: 0
% 5.30/5.49 % sat_guarded_non_collapsed_types: 0
% 5.30/5.49 % is_epr: 0
% 5.30/5.49 % is_horn: 0
% 5.30/5.49 % has_eq: 1
% 5.30/5.49 % num_pure_diseq_elim: 0
% 5.30/5.49 % simp_replaced_by: 0
% 5.30/5.49 % res_preprocessed: 5
% 5.30/5.49 % prep_upred: 0
% 5.30/5.49 % prep_unflattend: 0
% 5.30/5.49 % pred_elim_cands: 3
% 5.30/5.49 % pred_elim: 3
% 5.30/5.49 % pred_elim_cl: 6
% 5.30/5.49 % pred_elim_cycles: 3
% 5.30/5.49 % forced_gc_time: 0
% 5.30/5.49 % gc_basic_clause_elim: 0
% 5.30/5.49 % parsing_time: 0.181
% 5.30/5.49 % sem_filter_time: 0.
% 5.30/5.49 % pred_elim_time: 0.
% 5.30/5.49 % out_proof_time: 0.
% 5.30/5.49 % monotx_time: 0.
% 5.30/5.49 % subtype_inf_time: 0.
% 5.30/5.49 % unif_index_cands_time: 0.
% 5.30/5.49 % unif_index_add_time: 0.005
% 5.30/5.49 % total_time: 4.399
% 5.30/5.49 % num_of_symbols: 227
% 5.30/5.49 % num_of_terms: 8055
% 5.30/5.49
% 5.30/5.49 % ------ Propositional Solver
% 5.30/5.49
% 5.30/5.49 % prop_solver_calls: 1
% 5.30/5.49 % prop_fast_solver_calls: 24
% 5.30/5.49 % prop_num_of_clauses: 3338
% 5.30/5.49 % prop_preprocess_simplified: 13450
% 5.30/5.49 % prop_fo_subsumed: 3
% 5.30/5.49 % prop_solver_time: 0.
% 5.30/5.49 % prop_fast_solver_time: 0.
% 5.30/5.49 % prop_unsat_core_time: 0.
% 5.30/5.49
% 5.30/5.49 % ------ QBF
% 5.30/5.49
% 5.30/5.49 % qbf_q_res: 0
% 5.30/5.49 % qbf_num_tautologies: 0
% 5.30/5.49 % qbf_prep_cycles: 0
% 5.30/5.49
% 5.30/5.49 % ------ BMC1
% 5.30/5.49
% 5.30/5.49 % bmc1_current_bound: -1
% 5.30/5.49 % bmc1_last_solved_bound: -1
% 5.30/5.49 % bmc1_unsat_core_size: -1
% 5.30/5.49 % bmc1_unsat_core_parents_size: -1
% 5.30/5.49 % bmc1_merge_next_fun: 0
% 5.30/5.49 % bmc1_unsat_core_clauses_time: 0.
% 5.30/5.49
% 5.30/5.49 % ------ Instantiation
% 5.30/5.49
% 5.30/5.49 % inst_num_of_clauses: 3963
% 5.30/5.49 % inst_num_in_passive: 0
% 5.30/5.49 % inst_num_in_active: 0
% 5.30/5.49 % inst_num_in_unprocessed: 4302
% 5.30/5.49 % inst_num_of_loops: 0
% 5.30/5.49 % inst_num_of_learning_restarts: 0
% 5.30/5.49 % inst_num_moves_active_passive: 0
% 5.30/5.49 % inst_lit_activity: 0
% 5.30/5.49 % inst_lit_activity_moves: 0
% 5.30/5.49 % inst_num_tautologies: 0
% 5.30/5.49 % inst_num_prop_implied: 0
% 5.30/5.49 % inst_num_existing_simplified: 0
% 5.30/5.49 % inst_num_eq_res_simplified: 0
% 5.30/5.49 % inst_num_child_elim: 0
% 5.30/5.49 % inst_num_of_dismatching_blockings: 0
% 5.30/5.49 % inst_num_of_non_proper_insts: 0
% 5.30/5.49 % inst_num_of_duplicates: 0
% 5.30/5.49 % inst_inst_num_from_inst_to_res: 0
% 5.30/5.49 % inst_dismatching_checking_time: 0.
% 5.30/5.49
% 5.30/5.49 % ------ Resolution
% 5.30/5.49
% 5.30/5.49 % res_num_of_clauses: 4531
% 5.30/5.49 % res_num_in_passive: 0
% 5.30/5.49 % res_num_in_active: 1625
% 5.30/5.49 % res_num_of_loops: 2
% 5.30/5.49 % res_forward_subset_subsumed: 2512
% 5.30/5.49 % res_backward_subset_subsumed: 0
% 5.30/5.49 % res_forward_subsumed: 0
% 5.30/5.49 % res_backward_subsumed: 0
% 5.30/5.49 % res_forward_subsumption_resolution: 0
% 5.30/5.49 % res_backward_subsumption_resolution: 0
% 5.30/5.49 % res_clause_to_clause_subsumption: 0
% 5.30/5.49 % res_orphan_elimination: 0
% 5.30/5.49 % res_tautology_del: 61
% 5.30/5.49 % res_num_eq_res_simplified: 0
% 5.30/5.49 % res_num_sel_changes: 0
% 5.30/5.49 % res_moves_from_active_to_pass: 0
% 5.30/5.49
% 5.30/5.49 % Status Unknown
% 5.30/5.49 % Last status :
% 5.30/5.49 % SZS status Unknown
%------------------------------------------------------------------------------